TSTP Solution File: GRP488-1 by Metis---2.4

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP488-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 10:41:40 EDT 2022

% Result   : Unsatisfiable 0.20s 0.44s
% Output   : CNFRefutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  127
%            Number of leaves      :  185
% Syntax   : Number of clauses     :  657 ( 329 unt;   0 nHn; 433 RR)
%            Number of literals    : 1141 (1140 equ; 487 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  647 (   0 sgn)

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

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_2,negated_conjecture,
    multiply(identity,a2) != a2 ).

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(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_6,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_7,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_5,refute_0_6]) ).

cnf(refute_0_8,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_7]) ).

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

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

cnf(refute_0_11,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_12,plain,
    double_divide(X_3,identity) = inverse(X_3),
    inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_10,refute_0_11]) ).

cnf(refute_0_13,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_14,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_12,refute_0_13]) ).

cnf(refute_0_15,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_9,refute_0_14]) ).

cnf(refute_0_16,plain,
    multiply(identity,a2) = inverse(inverse(a2)),
    inference(subst,[],[refute_0_15:[bind(X_3,$fot(a2))]]) ).

cnf(refute_0_17,plain,
    ( multiply(identity,a2) != inverse(inverse(a2))
    | inverse(inverse(a2)) != a2
    | multiply(identity,a2) = a2 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(identity,a2),a2) ),[0],$fot(inverse(inverse(a2)))]]) ).

cnf(refute_0_18,plain,
    ( inverse(inverse(a2)) != a2
    | multiply(identity,a2) = a2 ),
    inference(resolve,[$cnf( $equal(multiply(identity,a2),inverse(inverse(a2))) )],[refute_0_16,refute_0_17]) ).

cnf(refute_0_19,plain,
    inverse(inverse(a2)) != a2,
    inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_18,prove_these_axioms_2]) ).

cnf(refute_0_20,plain,
    multiply(double_divide(identity,double_divide(identity,X_49)),identity) = inverse(double_divide(identity,double_divide(identity,double_divide(identity,X_49)))),
    inference(subst,[],[refute_0_8:[bind(A,$fot(double_divide(identity,double_divide(identity,X_49)))),bind(B,$fot(identity))]]) ).

cnf(refute_0_21,plain,
    multiply(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)) = inverse(inverse(multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity))),
    inference(subst,[],[refute_0_15:[bind(X_3,$fot(multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)))]]) ).

cnf(refute_0_22,plain,
    double_divide(double_divide(A,identity),double_divide(B,C)) = double_divide(double_divide(A,identity),double_divide(B,C)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(A,identity),double_divide(B,C)))]]) ).

cnf(refute_0_23,plain,
    ( double_divide(A,identity) != inverse(A)
    | double_divide(double_divide(A,identity),double_divide(B,C)) != double_divide(double_divide(A,identity),double_divide(B,C))
    | double_divide(double_divide(A,identity),double_divide(B,C)) = double_divide(inverse(A),double_divide(B,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,identity),double_divide(B,C)),double_divide(double_divide(A,identity),double_divide(B,C))) ),[1,0],$fot(inverse(A))]]) ).

cnf(refute_0_24,plain,
    ( double_divide(A,identity) != inverse(A)
    | double_divide(double_divide(A,identity),double_divide(B,C)) = double_divide(inverse(A),double_divide(B,C)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,identity),double_divide(B,C)),double_divide(double_divide(A,identity),double_divide(B,C))) )],[refute_0_22,refute_0_23]) ).

cnf(refute_0_25,plain,
    double_divide(double_divide(A,identity),double_divide(B,C)) = double_divide(inverse(A),double_divide(B,C)),
    inference(resolve,[$cnf( $equal(double_divide(A,identity),inverse(A)) )],[refute_0_4,refute_0_24]) ).

cnf(refute_0_26,plain,
    double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))) = double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))))]]) ).

cnf(refute_0_27,plain,
    ( double_divide(double_divide(A,identity),double_divide(B,C)) != double_divide(inverse(A),double_divide(B,C))
    | double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))) != double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C)))
    | double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))) = double_divide(identity,double_divide(inverse(A),double_divide(B,C))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C)))) ),[1,1],$fot(double_divide(inverse(A),double_divide(B,C)))]]) ).

cnf(refute_0_28,plain,
    ( double_divide(double_divide(A,identity),double_divide(B,C)) != double_divide(inverse(A),double_divide(B,C))
    | double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))) = double_divide(identity,double_divide(inverse(A),double_divide(B,C))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C)))) )],[refute_0_26,refute_0_27]) ).

cnf(refute_0_29,plain,
    double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))) = double_divide(identity,double_divide(inverse(A),double_divide(B,C))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,identity),double_divide(B,C)),double_divide(inverse(A),double_divide(B,C))) )],[refute_0_25,refute_0_28]) ).

cnf(refute_0_30,plain,
    double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B) = double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B))]]) ).

cnf(refute_0_31,plain,
    ( double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B) != double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)
    | double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))) != double_divide(identity,double_divide(inverse(A),double_divide(B,C)))
    | double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B) = double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)) ),[1,0],$fot(double_divide(identity,double_divide(inverse(A),double_divide(B,C))))]]) ).

cnf(refute_0_32,plain,
    ( double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))) != double_divide(identity,double_divide(inverse(A),double_divide(B,C)))
    | double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B) = double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)) )],[refute_0_30,refute_0_31]) ).

cnf(refute_0_33,plain,
    double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B) = double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),double_divide(identity,double_divide(inverse(A),double_divide(B,C)))) )],[refute_0_29,refute_0_32]) ).

cnf(refute_0_34,plain,
    inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)) = inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)),
    introduced(tautology,[refl,[$fot(inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)))]]) ).

cnf(refute_0_35,plain,
    ( double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B) != double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)
    | inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)) != inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B))
    | inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)) = inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)),inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B))) ),[1,0],$fot(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))]]) ).

cnf(refute_0_36,plain,
    ( double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B) != double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)
    | inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)) = inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)),inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B))) )],[refute_0_34,refute_0_35]) ).

cnf(refute_0_37,plain,
    inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)) = inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)) )],[refute_0_33,refute_0_36]) ).

cnf(refute_0_38,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity) = inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)))]]) ).

cnf(refute_0_39,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_40,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_39]) ).

cnf(refute_0_41,plain,
    ( double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity) != inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B))
    | inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)) != inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))
    | double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity) = inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)) ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity))),bind(Y,$fot(inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)))),bind(Z,$fot(inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))))]]) ).

cnf(refute_0_42,plain,
    ( inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)) != inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))
    | double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity) = inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity),inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B))) )],[refute_0_38,refute_0_41]) ).

cnf(refute_0_43,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity) = inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)),inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) )],[refute_0_37,refute_0_42]) ).

cnf(refute_0_44,plain,
    double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) = double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)),
    introduced(tautology,[refl,[$fot(double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)))]]) ).

cnf(refute_0_45,plain,
    ( double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) != double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity))
    | double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity) != inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))
    | double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) = double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)),double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity))) ),[1,1],$fot(inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)))]]) ).

cnf(refute_0_46,plain,
    ( double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity) != inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))
    | double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) = double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) ),
    inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)),double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity))) )],[refute_0_44,refute_0_45]) ).

cnf(refute_0_47,plain,
    double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) = double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity),inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) )],[refute_0_43,refute_0_46]) ).

cnf(refute_0_48,plain,
    ( double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) != C
    | double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) != double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)))
    | double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) = C ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)),C) ),[0],$fot(double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))))]]) ).

cnf(refute_0_49,plain,
    ( double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) != C
    | double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) = C ),
    inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)),double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)))) )],[refute_0_47,refute_0_48]) ).

cnf(refute_0_50,plain,
    double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) = C,
    inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)),C) )],[single_axiom,refute_0_49]) ).

cnf(refute_0_51,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_52,plain,
    inverse(double_divide(B,A)) = multiply(A,B),
    inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[refute_0_8,refute_0_51]) ).

cnf(refute_0_53,plain,
    inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)) = multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C)))),
    inference(subst,[],[refute_0_52:[bind(A,$fot(B)),bind(B,$fot(double_divide(identity,double_divide(inverse(A),double_divide(B,C)))))]]) ).

cnf(refute_0_54,plain,
    double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) = double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))),
    introduced(tautology,[refl,[$fot(double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))))]]) ).

cnf(refute_0_55,plain,
    ( double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) != double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)))
    | inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)) != multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))
    | double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) = double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))),double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)))) ),[1,1],$fot(multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C)))))]]) ).

cnf(refute_0_56,plain,
    ( inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)) != multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))
    | double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) = double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))) ),
    inference(resolve,[$cnf( $equal(double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))),double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)))) )],[refute_0_54,refute_0_55]) ).

cnf(refute_0_57,plain,
    double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) = double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))),
    inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)),multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))) )],[refute_0_53,refute_0_56]) ).

cnf(refute_0_58,plain,
    ( double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) != C
    | double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) != double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C)))))
    | double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))) = C ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))),C) ),[0],$fot(double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))))]]) ).

cnf(refute_0_59,plain,
    ( double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) != C
    | double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))) = C ),
    inference(resolve,[$cnf( $equal(double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))),double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C)))))) )],[refute_0_57,refute_0_58]) ).

cnf(refute_0_60,plain,
    double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))) = C,
    inference(resolve,[$cnf( $equal(double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))),C) )],[refute_0_50,refute_0_59]) ).

cnf(refute_0_61,plain,
    double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,inverse(multiply(double_divide(inverse(B),double_divide(identity,X_17)),identity))))))) = inverse(multiply(double_divide(inverse(B),double_divide(identity,X_17)),identity)),
    inference(subst,[],[refute_0_60:[bind(C,$fot(inverse(multiply(double_divide(inverse(B),double_divide(identity,X_17)),identity))))]]) ).

cnf(refute_0_62,plain,
    double_divide(X_10,multiply(identity,double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))) = X_12,
    inference(subst,[],[refute_0_60:[bind(A,$fot(X_10)),bind(B,$fot(identity)),bind(C,$fot(X_12))]]) ).

cnf(refute_0_63,plain,
    multiply(identity,double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))) = inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))),
    inference(subst,[],[refute_0_15:[bind(X_3,$fot(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))]]) ).

cnf(refute_0_64,plain,
    ( multiply(identity,double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))) != inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))
    | double_divide(X_10,multiply(identity,double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))) != X_12
    | double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,multiply(identity,double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))),X_12) ),[0,1],$fot(inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))))]]) ).

cnf(refute_0_65,plain,
    ( double_divide(X_10,multiply(identity,double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))) != X_12
    | double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) = X_12 ),
    inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))),inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) )],[refute_0_63,refute_0_64]) ).

cnf(refute_0_66,plain,
    double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(identity,double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))),X_12) )],[refute_0_62,refute_0_65]) ).

cnf(refute_0_67,plain,
    inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))) = multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity),
    inference(subst,[],[refute_0_52:[bind(A,$fot(double_divide(inverse(X_10),double_divide(identity,X_12)))),bind(B,$fot(identity))]]) ).

cnf(refute_0_68,plain,
    inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))) = inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))),
    introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))))]]) ).

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

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

cnf(refute_0_71,plain,
    inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))) = inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))),multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity)) )],[refute_0_67,refute_0_70]) ).

cnf(refute_0_72,plain,
    double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) = double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))),
    introduced(tautology,[refl,[$fot(double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))))]]) ).

cnf(refute_0_73,plain,
    ( double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) != double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))))
    | inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))) != inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))
    | double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) = double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))),double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))))) ),[1,1],$fot(inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity)))]]) ).

cnf(refute_0_74,plain,
    ( inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))) != inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))
    | double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) = double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))) ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))),double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))))) )],[refute_0_72,refute_0_73]) ).

cnf(refute_0_75,plain,
    double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) = double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))),
    inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))),inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))) )],[refute_0_71,refute_0_74]) ).

cnf(refute_0_76,plain,
    ( double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) != X_12
    | double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) != double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity)))
    | double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))),X_12) ),[0],$fot(double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))))]]) ).

cnf(refute_0_77,plain,
    ( double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) != X_12
    | double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))),double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity)))) )],[refute_0_75,refute_0_76]) ).

cnf(refute_0_78,plain,
    double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))),X_12) )],[refute_0_66,refute_0_77]) ).

cnf(refute_0_79,plain,
    double_divide(B,inverse(multiply(double_divide(inverse(B),double_divide(identity,X_17)),identity))) = X_17,
    inference(subst,[],[refute_0_78:[bind(X_10,$fot(B)),bind(X_12,$fot(X_17))]]) ).

cnf(refute_0_80,plain,
    ( double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,inverse(multiply(double_divide(inverse(B),double_divide(identity,X_17)),identity))))))) != inverse(multiply(double_divide(inverse(B),double_divide(identity,X_17)),identity))
    | double_divide(B,inverse(multiply(double_divide(inverse(B),double_divide(identity,X_17)),identity))) != X_17
    | double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),X_17)))) = inverse(multiply(double_divide(inverse(B),double_divide(identity,X_17)),identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,inverse(multiply(double_divide(inverse(B),double_divide(identity,X_17)),identity))))))),inverse(multiply(double_divide(inverse(B),double_divide(identity,X_17)),identity))) ),[0,1,1,1,1],$fot(X_17)]]) ).

cnf(refute_0_81,plain,
    ( double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,inverse(multiply(double_divide(inverse(B),double_divide(identity,X_17)),identity))))))) != inverse(multiply(double_divide(inverse(B),double_divide(identity,X_17)),identity))
    | double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),X_17)))) = inverse(multiply(double_divide(inverse(B),double_divide(identity,X_17)),identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(B,inverse(multiply(double_divide(inverse(B),double_divide(identity,X_17)),identity))),X_17) )],[refute_0_79,refute_0_80]) ).

cnf(refute_0_82,plain,
    double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),X_17)))) = inverse(multiply(double_divide(inverse(B),double_divide(identity,X_17)),identity)),
    inference(resolve,[$cnf( $equal(double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,inverse(multiply(double_divide(inverse(B),double_divide(identity,X_17)),identity))))))),inverse(multiply(double_divide(inverse(B),double_divide(identity,X_17)),identity))) )],[refute_0_61,refute_0_81]) ).

cnf(refute_0_83,plain,
    double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))) = inverse(multiply(double_divide(inverse(B),double_divide(identity,double_divide(B,C))),identity)),
    inference(subst,[],[refute_0_82:[bind(X_17,$fot(double_divide(B,C)))]]) ).

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

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

cnf(refute_0_86,plain,
    inverse(multiply(double_divide(inverse(B),double_divide(identity,double_divide(B,C))),identity)) = C,
    inference(resolve,[$cnf( $equal(double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))),C) )],[refute_0_60,refute_0_85]) ).

cnf(refute_0_87,plain,
    inverse(multiply(double_divide(inverse(identity),double_divide(identity,double_divide(identity,X_34))),identity)) = X_34,
    inference(subst,[],[refute_0_86:[bind(B,$fot(identity)),bind(C,$fot(X_34))]]) ).

cnf(refute_0_88,plain,
    double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),double_divide(X_11,identity))))) = identity,
    inference(subst,[],[refute_0_60:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(identity))]]) ).

cnf(refute_0_89,plain,
    inverse(X_11) = double_divide(X_11,identity),
    inference(subst,[],[inverse:[bind(A,$fot(X_11))]]) ).

cnf(refute_0_90,plain,
    ( inverse(X_11) != double_divide(X_11,identity)
    | double_divide(X_11,identity) = inverse(X_11) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_11))),bind(Y,$fot(double_divide(X_11,identity)))]]) ).

cnf(refute_0_91,plain,
    double_divide(X_11,identity) = inverse(X_11),
    inference(resolve,[$cnf( $equal(inverse(X_11),double_divide(X_11,identity)) )],[refute_0_89,refute_0_90]) ).

cnf(refute_0_92,plain,
    ( double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),double_divide(X_11,identity))))) != identity
    | double_divide(X_11,identity) != inverse(X_11)
    | double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),inverse(X_11))))) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),double_divide(X_11,identity))))),identity) ),[0,1,1,1,1],$fot(inverse(X_11))]]) ).

cnf(refute_0_93,plain,
    ( double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),double_divide(X_11,identity))))) != identity
    | double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),inverse(X_11))))) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(X_11,identity),inverse(X_11)) )],[refute_0_91,refute_0_92]) ).

cnf(refute_0_94,plain,
    double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),inverse(X_11))))) = identity,
    inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),double_divide(X_11,identity))))),identity) )],[refute_0_88,refute_0_93]) ).

cnf(refute_0_95,plain,
    double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,multiply(X_14,double_divide(identity,inverse(inverse(B))))))))) = multiply(X_14,double_divide(identity,inverse(inverse(B)))),
    inference(subst,[],[refute_0_60:[bind(C,$fot(multiply(X_14,double_divide(identity,inverse(inverse(B))))))]]) ).

cnf(refute_0_96,plain,
    double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),double_divide(X_11,inverse(X_11)))))) = inverse(X_11),
    inference(subst,[],[refute_0_60:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(inverse(X_11)))]]) ).

cnf(refute_0_97,plain,
    identity = double_divide(X_11,inverse(X_11)),
    inference(subst,[],[identity:[bind(A,$fot(X_11))]]) ).

cnf(refute_0_98,plain,
    ( identity != double_divide(X_11,inverse(X_11))
    | double_divide(X_11,inverse(X_11)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_11,inverse(X_11))))]]) ).

cnf(refute_0_99,plain,
    double_divide(X_11,inverse(X_11)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_11,inverse(X_11))) )],[refute_0_97,refute_0_98]) ).

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

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

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

cnf(refute_0_103,plain,
    double_divide(inverse(X_10),identity) = inverse(inverse(X_10)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(X_10)))]]) ).

cnf(refute_0_104,plain,
    double_divide(identity,double_divide(inverse(X_10),identity)) = double_divide(identity,double_divide(inverse(X_10),identity)),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(inverse(X_10),identity)))]]) ).

cnf(refute_0_105,plain,
    ( double_divide(identity,double_divide(inverse(X_10),identity)) != double_divide(identity,double_divide(inverse(X_10),identity))
    | double_divide(inverse(X_10),identity) != inverse(inverse(X_10))
    | double_divide(identity,double_divide(inverse(X_10),identity)) = double_divide(identity,inverse(inverse(X_10))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(inverse(X_10),identity)),double_divide(identity,double_divide(inverse(X_10),identity))) ),[1,1],$fot(inverse(inverse(X_10)))]]) ).

cnf(refute_0_106,plain,
    ( double_divide(inverse(X_10),identity) != inverse(inverse(X_10))
    | double_divide(identity,double_divide(inverse(X_10),identity)) = double_divide(identity,inverse(inverse(X_10))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(X_10),identity)),double_divide(identity,double_divide(inverse(X_10),identity))) )],[refute_0_104,refute_0_105]) ).

cnf(refute_0_107,plain,
    double_divide(identity,double_divide(inverse(X_10),identity)) = double_divide(identity,inverse(inverse(X_10))),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_10),identity),inverse(inverse(X_10))) )],[refute_0_103,refute_0_106]) ).

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

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

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

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

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

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

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

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

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

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

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

cnf(refute_0_119,plain,
    double_divide(B,multiply(X_14,double_divide(identity,inverse(inverse(B))))) = inverse(X_14),
    inference(subst,[],[refute_0_118:[bind(X_10,$fot(B)),bind(X_11,$fot(X_14))]]) ).

cnf(refute_0_120,plain,
    ( double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,multiply(X_14,double_divide(identity,inverse(inverse(B))))))))) != multiply(X_14,double_divide(identity,inverse(inverse(B))))
    | double_divide(B,multiply(X_14,double_divide(identity,inverse(inverse(B))))) != inverse(X_14)
    | double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),inverse(X_14))))) = multiply(X_14,double_divide(identity,inverse(inverse(B)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,multiply(X_14,double_divide(identity,inverse(inverse(B))))))))),multiply(X_14,double_divide(identity,inverse(inverse(B))))) ),[0,1,1,1,1],$fot(inverse(X_14))]]) ).

cnf(refute_0_121,plain,
    ( double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,multiply(X_14,double_divide(identity,inverse(inverse(B))))))))) != multiply(X_14,double_divide(identity,inverse(inverse(B))))
    | double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),inverse(X_14))))) = multiply(X_14,double_divide(identity,inverse(inverse(B)))) ),
    inference(resolve,[$cnf( $equal(double_divide(B,multiply(X_14,double_divide(identity,inverse(inverse(B))))),inverse(X_14)) )],[refute_0_119,refute_0_120]) ).

cnf(refute_0_122,plain,
    double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),inverse(X_14))))) = multiply(X_14,double_divide(identity,inverse(inverse(B)))),
    inference(resolve,[$cnf( $equal(double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,multiply(X_14,double_divide(identity,inverse(inverse(B))))))))),multiply(X_14,double_divide(identity,inverse(inverse(B))))) )],[refute_0_95,refute_0_121]) ).

cnf(refute_0_123,plain,
    double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),inverse(X_11))))) = multiply(X_11,double_divide(identity,inverse(inverse(X_11)))),
    inference(subst,[],[refute_0_122:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(X_14,$fot(X_11))]]) ).

cnf(refute_0_124,plain,
    ( double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),inverse(X_11))))) != multiply(X_11,double_divide(identity,inverse(inverse(X_11))))
    | double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),inverse(X_11))))) != identity
    | multiply(X_11,double_divide(identity,inverse(inverse(X_11)))) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),inverse(X_11))))),identity) ),[0],$fot(multiply(X_11,double_divide(identity,inverse(inverse(X_11)))))]]) ).

cnf(refute_0_125,plain,
    ( double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),inverse(X_11))))) != identity
    | multiply(X_11,double_divide(identity,inverse(inverse(X_11)))) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),inverse(X_11))))),multiply(X_11,double_divide(identity,inverse(inverse(X_11))))) )],[refute_0_123,refute_0_124]) ).

cnf(refute_0_126,plain,
    multiply(X_11,double_divide(identity,inverse(inverse(X_11)))) = identity,
    inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),inverse(X_11))))),identity) )],[refute_0_94,refute_0_125]) ).

cnf(refute_0_127,plain,
    multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(multiply(inverse(inverse(X_13)),identity))))) = identity,
    inference(subst,[],[refute_0_126:[bind(X_11,$fot(multiply(inverse(inverse(X_13)),identity)))]]) ).

cnf(refute_0_128,plain,
    double_divide(X_13,multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(X_13))))) = inverse(multiply(inverse(inverse(X_13)),identity)),
    inference(subst,[],[refute_0_118:[bind(X_10,$fot(X_13)),bind(X_11,$fot(multiply(inverse(inverse(X_13)),identity)))]]) ).

cnf(refute_0_129,plain,
    multiply(inverse(X_3),X_3) = inverse(double_divide(X_3,inverse(X_3))),
    inference(subst,[],[refute_0_8:[bind(A,$fot(inverse(X_3))),bind(B,$fot(X_3))]]) ).

cnf(refute_0_130,plain,
    identity = double_divide(X_3,inverse(X_3)),
    inference(subst,[],[identity:[bind(A,$fot(X_3))]]) ).

cnf(refute_0_131,plain,
    ( identity != double_divide(X_3,inverse(X_3))
    | double_divide(X_3,inverse(X_3)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_3,inverse(X_3))))]]) ).

cnf(refute_0_132,plain,
    double_divide(X_3,inverse(X_3)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_3,inverse(X_3))) )],[refute_0_130,refute_0_131]) ).

cnf(refute_0_133,plain,
    ( multiply(inverse(X_3),X_3) != inverse(double_divide(X_3,inverse(X_3)))
    | double_divide(X_3,inverse(X_3)) != identity
    | multiply(inverse(X_3),X_3) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_134,plain,
    ( multiply(inverse(X_3),X_3) != inverse(double_divide(X_3,inverse(X_3)))
    | multiply(inverse(X_3),X_3) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(X_3,inverse(X_3)),identity) )],[refute_0_132,refute_0_133]) ).

cnf(refute_0_135,plain,
    multiply(inverse(X_3),X_3) = inverse(identity),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) )],[refute_0_129,refute_0_134]) ).

cnf(refute_0_136,plain,
    multiply(inverse(double_divide(B,A)),double_divide(B,A)) = inverse(identity),
    inference(subst,[],[refute_0_135:[bind(X_3,$fot(double_divide(B,A)))]]) ).

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

cnf(refute_0_138,plain,
    ( multiply(inverse(double_divide(B,A)),double_divide(B,A)) != inverse(identity)
    | multiply(multiply(A,B),double_divide(B,A)) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_52,refute_0_137]) ).

cnf(refute_0_139,plain,
    multiply(multiply(A,B),double_divide(B,A)) = inverse(identity),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),double_divide(B,A)),inverse(identity)) )],[refute_0_136,refute_0_138]) ).

cnf(refute_0_140,plain,
    multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(X_13)))) = inverse(identity),
    inference(subst,[],[refute_0_139:[bind(A,$fot(inverse(inverse(X_13)))),bind(B,$fot(identity))]]) ).

cnf(refute_0_141,plain,
    ( multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(X_13)))) != inverse(identity)
    | double_divide(X_13,multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(X_13))))) != inverse(multiply(inverse(inverse(X_13)),identity))
    | double_divide(X_13,inverse(identity)) = inverse(multiply(inverse(inverse(X_13)),identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_13,multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(X_13))))),inverse(multiply(inverse(inverse(X_13)),identity))) ),[0,1],$fot(inverse(identity))]]) ).

cnf(refute_0_142,plain,
    ( double_divide(X_13,multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(X_13))))) != inverse(multiply(inverse(inverse(X_13)),identity))
    | double_divide(X_13,inverse(identity)) = inverse(multiply(inverse(inverse(X_13)),identity)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(X_13)))),inverse(identity)) )],[refute_0_140,refute_0_141]) ).

cnf(refute_0_143,plain,
    double_divide(X_13,inverse(identity)) = inverse(multiply(inverse(inverse(X_13)),identity)),
    inference(resolve,[$cnf( $equal(double_divide(X_13,multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(X_13))))),inverse(multiply(inverse(inverse(X_13)),identity))) )],[refute_0_128,refute_0_142]) ).

cnf(refute_0_144,plain,
    ( double_divide(X_13,inverse(identity)) != inverse(multiply(inverse(inverse(X_13)),identity))
    | inverse(multiply(inverse(inverse(X_13)),identity)) = double_divide(X_13,inverse(identity)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(X_13,inverse(identity)))),bind(Y,$fot(inverse(multiply(inverse(inverse(X_13)),identity))))]]) ).

cnf(refute_0_145,plain,
    inverse(multiply(inverse(inverse(X_13)),identity)) = double_divide(X_13,inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(X_13,inverse(identity)),inverse(multiply(inverse(inverse(X_13)),identity))) )],[refute_0_143,refute_0_144]) ).

cnf(refute_0_146,plain,
    ( multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(multiply(inverse(inverse(X_13)),identity))))) != identity
    | inverse(multiply(inverse(inverse(X_13)),identity)) != double_divide(X_13,inverse(identity))
    | multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(double_divide(X_13,inverse(identity))))) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(multiply(inverse(inverse(X_13)),identity))))),identity) ),[0,1,1,0],$fot(double_divide(X_13,inverse(identity)))]]) ).

cnf(refute_0_147,plain,
    ( multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(multiply(inverse(inverse(X_13)),identity))))) != identity
    | multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(double_divide(X_13,inverse(identity))))) = identity ),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_13)),identity)),double_divide(X_13,inverse(identity))) )],[refute_0_145,refute_0_146]) ).

cnf(refute_0_148,plain,
    multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(double_divide(X_13,inverse(identity))))) = identity,
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(multiply(inverse(inverse(X_13)),identity))))),identity) )],[refute_0_127,refute_0_147]) ).

cnf(refute_0_149,plain,
    inverse(double_divide(X_13,inverse(identity))) = multiply(inverse(identity),X_13),
    inference(subst,[],[refute_0_52:[bind(A,$fot(inverse(identity))),bind(B,$fot(X_13))]]) ).

cnf(refute_0_150,plain,
    double_divide(identity,inverse(double_divide(X_13,inverse(identity)))) = double_divide(identity,inverse(double_divide(X_13,inverse(identity)))),
    introduced(tautology,[refl,[$fot(double_divide(identity,inverse(double_divide(X_13,inverse(identity)))))]]) ).

cnf(refute_0_151,plain,
    ( double_divide(identity,inverse(double_divide(X_13,inverse(identity)))) != double_divide(identity,inverse(double_divide(X_13,inverse(identity))))
    | inverse(double_divide(X_13,inverse(identity))) != multiply(inverse(identity),X_13)
    | double_divide(identity,inverse(double_divide(X_13,inverse(identity)))) = double_divide(identity,multiply(inverse(identity),X_13)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,inverse(double_divide(X_13,inverse(identity)))),double_divide(identity,inverse(double_divide(X_13,inverse(identity))))) ),[1,1],$fot(multiply(inverse(identity),X_13))]]) ).

cnf(refute_0_152,plain,
    ( inverse(double_divide(X_13,inverse(identity))) != multiply(inverse(identity),X_13)
    | double_divide(identity,inverse(double_divide(X_13,inverse(identity)))) = double_divide(identity,multiply(inverse(identity),X_13)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(double_divide(X_13,inverse(identity)))),double_divide(identity,inverse(double_divide(X_13,inverse(identity))))) )],[refute_0_150,refute_0_151]) ).

cnf(refute_0_153,plain,
    double_divide(identity,inverse(double_divide(X_13,inverse(identity)))) = double_divide(identity,multiply(inverse(identity),X_13)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_13,inverse(identity))),multiply(inverse(identity),X_13)) )],[refute_0_149,refute_0_152]) ).

cnf(refute_0_154,plain,
    multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(double_divide(X_13,inverse(identity))))) = multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(double_divide(X_13,inverse(identity))))),
    introduced(tautology,[refl,[$fot(multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(double_divide(X_13,inverse(identity))))))]]) ).

cnf(refute_0_155,plain,
    ( multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(double_divide(X_13,inverse(identity))))) != multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(double_divide(X_13,inverse(identity)))))
    | double_divide(identity,inverse(double_divide(X_13,inverse(identity)))) != double_divide(identity,multiply(inverse(identity),X_13))
    | multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(double_divide(X_13,inverse(identity))))) = multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,multiply(inverse(identity),X_13))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(double_divide(X_13,inverse(identity))))),multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(double_divide(X_13,inverse(identity)))))) ),[1,1],$fot(double_divide(identity,multiply(inverse(identity),X_13)))]]) ).

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

cnf(refute_0_157,plain,
    multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(double_divide(X_13,inverse(identity))))) = multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,multiply(inverse(identity),X_13))),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(double_divide(X_13,inverse(identity)))),double_divide(identity,multiply(inverse(identity),X_13))) )],[refute_0_153,refute_0_156]) ).

cnf(refute_0_158,plain,
    ( multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(double_divide(X_13,inverse(identity))))) != multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,multiply(inverse(identity),X_13)))
    | multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(double_divide(X_13,inverse(identity))))) != identity
    | multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,multiply(inverse(identity),X_13))) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(double_divide(X_13,inverse(identity))))),identity) ),[0],$fot(multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,multiply(inverse(identity),X_13))))]]) ).

cnf(refute_0_159,plain,
    ( multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(double_divide(X_13,inverse(identity))))) != identity
    | multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,multiply(inverse(identity),X_13))) = identity ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(double_divide(X_13,inverse(identity))))),multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,multiply(inverse(identity),X_13)))) )],[refute_0_157,refute_0_158]) ).

cnf(refute_0_160,plain,
    multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,multiply(inverse(identity),X_13))) = identity,
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(double_divide(X_13,inverse(identity))))),identity) )],[refute_0_148,refute_0_159]) ).

cnf(refute_0_161,plain,
    multiply(multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity),double_divide(identity,multiply(inverse(identity),double_divide(identity,inverse(inverse(inverse(identity))))))) = identity,
    inference(subst,[],[refute_0_160:[bind(X_13,$fot(double_divide(identity,inverse(inverse(inverse(identity))))))]]) ).

cnf(refute_0_162,plain,
    multiply(inverse(identity),double_divide(identity,inverse(inverse(inverse(identity))))) = identity,
    inference(subst,[],[refute_0_126:[bind(X_11,$fot(inverse(identity)))]]) ).

cnf(refute_0_163,plain,
    ( multiply(multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity),double_divide(identity,multiply(inverse(identity),double_divide(identity,inverse(inverse(inverse(identity))))))) != identity
    | multiply(inverse(identity),double_divide(identity,inverse(inverse(inverse(identity))))) != identity
    | multiply(multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity),double_divide(identity,identity)) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity),double_divide(identity,multiply(inverse(identity),double_divide(identity,inverse(inverse(inverse(identity))))))),identity) ),[0,1,1],$fot(identity)]]) ).

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

cnf(refute_0_165,plain,
    multiply(multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity),double_divide(identity,identity)) = identity,
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity),double_divide(identity,multiply(inverse(identity),double_divide(identity,inverse(inverse(inverse(identity))))))),identity) )],[refute_0_161,refute_0_164]) ).

cnf(refute_0_166,plain,
    double_divide(identity,identity) = inverse(identity),
    inference(subst,[],[refute_0_4:[bind(A,$fot(identity))]]) ).

cnf(refute_0_167,plain,
    multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),double_divide(identity,identity)) = multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),double_divide(identity,identity)),
    introduced(tautology,[refl,[$fot(multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),double_divide(identity,identity)))]]) ).

cnf(refute_0_168,plain,
    ( multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),double_divide(identity,identity)) != multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),double_divide(identity,identity))
    | double_divide(identity,identity) != inverse(identity)
    | multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),double_divide(identity,identity)) = multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),double_divide(identity,identity)),multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).

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

cnf(refute_0_170,plain,
    multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),double_divide(identity,identity)) = multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_166,refute_0_169]) ).

cnf(refute_0_171,plain,
    inverse(multiply(inverse(inverse(inverse(identity))),identity)) = double_divide(inverse(identity),inverse(identity)),
    inference(subst,[],[refute_0_145:[bind(X_13,$fot(inverse(identity)))]]) ).

cnf(refute_0_172,plain,
    inverse(double_divide(identity,inverse(inverse(inverse(identity))))) = multiply(inverse(inverse(inverse(identity))),identity),
    inference(subst,[],[refute_0_52:[bind(A,$fot(inverse(inverse(inverse(identity))))),bind(B,$fot(identity))]]) ).

cnf(refute_0_173,plain,
    inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))) = inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),
    introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))))]]) ).

cnf(refute_0_174,plain,
    ( inverse(double_divide(identity,inverse(inverse(inverse(identity))))) != multiply(inverse(inverse(inverse(identity))),identity)
    | inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))) != inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity))))))
    | inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))) = inverse(multiply(inverse(inverse(inverse(identity))),identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity))))))) ),[1,0],$fot(multiply(inverse(inverse(inverse(identity))),identity))]]) ).

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

cnf(refute_0_176,plain,
    inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))) = inverse(multiply(inverse(inverse(inverse(identity))),identity)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(inverse(inverse(identity))))),multiply(inverse(inverse(inverse(identity))),identity)) )],[refute_0_172,refute_0_175]) ).

cnf(refute_0_177,plain,
    ( inverse(multiply(inverse(inverse(inverse(identity))),identity)) != double_divide(inverse(identity),inverse(identity))
    | inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))) != inverse(multiply(inverse(inverse(inverse(identity))),identity))
    | inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))) = double_divide(inverse(identity),inverse(identity)) ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))))),bind(Y,$fot(inverse(multiply(inverse(inverse(inverse(identity))),identity)))),bind(Z,$fot(double_divide(inverse(identity),inverse(identity))))]]) ).

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

cnf(refute_0_179,plain,
    inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))) = double_divide(inverse(identity),inverse(identity)),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(inverse(identity))),identity)),double_divide(inverse(identity),inverse(identity))) )],[refute_0_171,refute_0_178]) ).

cnf(refute_0_180,plain,
    multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity) = multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity),
    introduced(tautology,[refl,[$fot(multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity))]]) ).

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

cnf(refute_0_182,plain,
    ( inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))) != double_divide(inverse(identity),inverse(identity))
    | multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity) = multiply(double_divide(inverse(identity),inverse(identity)),identity) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity),multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity)) )],[refute_0_180,refute_0_181]) ).

cnf(refute_0_183,plain,
    multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity) = multiply(double_divide(inverse(identity),inverse(identity)),identity),
    inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),double_divide(inverse(identity),inverse(identity))) )],[refute_0_179,refute_0_182]) ).

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

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

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

cnf(refute_0_187,plain,
    multiply(multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity),double_divide(identity,identity)) = multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),double_divide(identity,identity)),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)) )],[refute_0_183,refute_0_186]) ).

cnf(refute_0_188,plain,
    ( multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),double_divide(identity,identity)) != multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity))
    | multiply(multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity),double_divide(identity,identity)) != multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),double_divide(identity,identity))
    | multiply(multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity),double_divide(identity,identity)) = multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity)) ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(multiply(multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity),double_divide(identity,identity)))),bind(Y,$fot(multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),double_divide(identity,identity)))),bind(Z,$fot(multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity))))]]) ).

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

cnf(refute_0_190,plain,
    multiply(multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity),double_divide(identity,identity)) = multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity)),
    inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),double_divide(identity,identity)),multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity))) )],[refute_0_170,refute_0_189]) ).

cnf(refute_0_191,plain,
    ( multiply(multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity),double_divide(identity,identity)) != multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity))
    | multiply(multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity),double_divide(identity,identity)) != identity
    | multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity)) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity),double_divide(identity,identity)),identity) ),[0],$fot(multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity)))]]) ).

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

cnf(refute_0_193,plain,
    multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(double_divide(identity,inverse(inverse(inverse(identity)))))),identity),double_divide(identity,identity)),identity) )],[refute_0_165,refute_0_192]) ).

cnf(refute_0_194,plain,
    multiply(identity,inverse(identity)) = inverse(inverse(inverse(identity))),
    inference(subst,[],[refute_0_15:[bind(X_3,$fot(inverse(identity)))]]) ).

cnf(refute_0_195,plain,
    multiply(double_divide(B,A),double_divide(identity,inverse(inverse(double_divide(B,A))))) = identity,
    inference(subst,[],[refute_0_126:[bind(X_11,$fot(double_divide(B,A)))]]) ).

cnf(refute_0_196,plain,
    ( multiply(double_divide(B,A),double_divide(identity,inverse(inverse(double_divide(B,A))))) != identity
    | inverse(double_divide(B,A)) != multiply(A,B)
    | multiply(double_divide(B,A),double_divide(identity,inverse(multiply(A,B)))) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(B,A),double_divide(identity,inverse(inverse(double_divide(B,A))))),identity) ),[0,1,1,0],$fot(multiply(A,B))]]) ).

cnf(refute_0_197,plain,
    ( multiply(double_divide(B,A),double_divide(identity,inverse(inverse(double_divide(B,A))))) != identity
    | multiply(double_divide(B,A),double_divide(identity,inverse(multiply(A,B)))) = identity ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_52,refute_0_196]) ).

cnf(refute_0_198,plain,
    multiply(double_divide(B,A),double_divide(identity,inverse(multiply(A,B)))) = identity,
    inference(resolve,[$cnf( $equal(multiply(double_divide(B,A),double_divide(identity,inverse(inverse(double_divide(B,A))))),identity) )],[refute_0_195,refute_0_197]) ).

cnf(refute_0_199,plain,
    multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(multiply(double_divide(identity,inverse(inverse(identity))),inverse(identity))))) = identity,
    inference(subst,[],[refute_0_198:[bind(A,$fot(double_divide(identity,inverse(inverse(identity))))),bind(B,$fot(inverse(identity)))]]) ).

cnf(refute_0_200,plain,
    multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),multiply(double_divide(inverse(identity),inverse(identity)),identity))))) = identity,
    inference(subst,[],[refute_0_198:[bind(A,$fot(inverse(inverse(identity)))),bind(B,$fot(multiply(double_divide(inverse(identity),inverse(identity)),identity)))]]) ).

cnf(refute_0_201,plain,
    multiply(inverse(inverse(identity)),multiply(double_divide(inverse(identity),inverse(identity)),identity)) = inverse(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity)))),
    inference(subst,[],[refute_0_8:[bind(A,$fot(inverse(inverse(identity)))),bind(B,$fot(multiply(double_divide(inverse(identity),inverse(identity)),identity)))]]) ).

cnf(refute_0_202,plain,
    double_divide(X_10,multiply(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity)),double_divide(identity,inverse(inverse(X_10))))) = inverse(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity))),
    inference(subst,[],[refute_0_118:[bind(X_11,$fot(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity))))]]) ).

cnf(refute_0_203,plain,
    multiply(double_divide(B,inverse(identity)),B) = inverse(double_divide(B,double_divide(B,inverse(identity)))),
    inference(subst,[],[refute_0_8:[bind(A,$fot(double_divide(B,inverse(identity))))]]) ).

cnf(refute_0_204,plain,
    double_divide(X_13,multiply(identity,double_divide(identity,inverse(inverse(X_13))))) = inverse(identity),
    inference(subst,[],[refute_0_118:[bind(X_10,$fot(X_13)),bind(X_11,$fot(identity))]]) ).

cnf(refute_0_205,plain,
    multiply(identity,double_divide(identity,inverse(inverse(X_13)))) = inverse(inverse(double_divide(identity,inverse(inverse(X_13))))),
    inference(subst,[],[refute_0_15:[bind(X_3,$fot(double_divide(identity,inverse(inverse(X_13)))))]]) ).

cnf(refute_0_206,plain,
    ( multiply(identity,double_divide(identity,inverse(inverse(X_13)))) != inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))
    | double_divide(X_13,multiply(identity,double_divide(identity,inverse(inverse(X_13))))) != inverse(identity)
    | double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_13,multiply(identity,double_divide(identity,inverse(inverse(X_13))))),inverse(identity)) ),[0,1],$fot(inverse(inverse(double_divide(identity,inverse(inverse(X_13))))))]]) ).

cnf(refute_0_207,plain,
    ( double_divide(X_13,multiply(identity,double_divide(identity,inverse(inverse(X_13))))) != inverse(identity)
    | double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,inverse(inverse(X_13)))),inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) )],[refute_0_205,refute_0_206]) ).

cnf(refute_0_208,plain,
    double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(X_13,multiply(identity,double_divide(identity,inverse(inverse(X_13))))),inverse(identity)) )],[refute_0_204,refute_0_207]) ).

cnf(refute_0_209,plain,
    inverse(double_divide(identity,inverse(inverse(X_13)))) = multiply(inverse(inverse(X_13)),identity),
    inference(subst,[],[refute_0_52:[bind(A,$fot(inverse(inverse(X_13)))),bind(B,$fot(identity))]]) ).

cnf(refute_0_210,plain,
    inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) = inverse(inverse(double_divide(identity,inverse(inverse(X_13))))),
    introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(identity,inverse(inverse(X_13))))))]]) ).

cnf(refute_0_211,plain,
    ( inverse(double_divide(identity,inverse(inverse(X_13)))) != multiply(inverse(inverse(X_13)),identity)
    | inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) != inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))
    | inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) = inverse(multiply(inverse(inverse(X_13)),identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(identity,inverse(inverse(X_13))))),inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) ),[1,0],$fot(multiply(inverse(inverse(X_13)),identity))]]) ).

cnf(refute_0_212,plain,
    ( inverse(double_divide(identity,inverse(inverse(X_13)))) != multiply(inverse(inverse(X_13)),identity)
    | inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) = inverse(multiply(inverse(inverse(X_13)),identity)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,inverse(inverse(X_13))))),inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) )],[refute_0_210,refute_0_211]) ).

cnf(refute_0_213,plain,
    inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) = inverse(multiply(inverse(inverse(X_13)),identity)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(inverse(X_13)))),multiply(inverse(inverse(X_13)),identity)) )],[refute_0_209,refute_0_212]) ).

cnf(refute_0_214,plain,
    ( inverse(multiply(inverse(inverse(X_13)),identity)) != double_divide(X_13,inverse(identity))
    | inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) != inverse(multiply(inverse(inverse(X_13)),identity))
    | inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) = double_divide(X_13,inverse(identity)) ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(inverse(inverse(double_divide(identity,inverse(inverse(X_13))))))),bind(Y,$fot(inverse(multiply(inverse(inverse(X_13)),identity)))),bind(Z,$fot(double_divide(X_13,inverse(identity))))]]) ).

cnf(refute_0_215,plain,
    ( inverse(multiply(inverse(inverse(X_13)),identity)) != double_divide(X_13,inverse(identity))
    | inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) = double_divide(X_13,inverse(identity)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,inverse(inverse(X_13))))),inverse(multiply(inverse(inverse(X_13)),identity))) )],[refute_0_213,refute_0_214]) ).

cnf(refute_0_216,plain,
    inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) = double_divide(X_13,inverse(identity)),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_13)),identity)),double_divide(X_13,inverse(identity))) )],[refute_0_145,refute_0_215]) ).

cnf(refute_0_217,plain,
    double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) = double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))),
    introduced(tautology,[refl,[$fot(double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))))]]) ).

cnf(refute_0_218,plain,
    ( double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) != double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13))))))
    | inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) != double_divide(X_13,inverse(identity))
    | double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) = double_divide(X_13,double_divide(X_13,inverse(identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))),double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13))))))) ),[1,1],$fot(double_divide(X_13,inverse(identity)))]]) ).

cnf(refute_0_219,plain,
    ( inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) != double_divide(X_13,inverse(identity))
    | double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) = double_divide(X_13,double_divide(X_13,inverse(identity))) ),
    inference(resolve,[$cnf( $equal(double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))),double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13))))))) )],[refute_0_217,refute_0_218]) ).

cnf(refute_0_220,plain,
    double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) = double_divide(X_13,double_divide(X_13,inverse(identity))),
    inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,inverse(inverse(X_13))))),double_divide(X_13,inverse(identity))) )],[refute_0_216,refute_0_219]) ).

cnf(refute_0_221,plain,
    ( double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) != double_divide(X_13,double_divide(X_13,inverse(identity)))
    | double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) != inverse(identity)
    | double_divide(X_13,double_divide(X_13,inverse(identity))) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))),inverse(identity)) ),[0],$fot(double_divide(X_13,double_divide(X_13,inverse(identity))))]]) ).

cnf(refute_0_222,plain,
    ( double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) != inverse(identity)
    | double_divide(X_13,double_divide(X_13,inverse(identity))) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))),double_divide(X_13,double_divide(X_13,inverse(identity)))) )],[refute_0_220,refute_0_221]) ).

cnf(refute_0_223,plain,
    double_divide(X_13,double_divide(X_13,inverse(identity))) = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))),inverse(identity)) )],[refute_0_208,refute_0_222]) ).

cnf(refute_0_224,plain,
    double_divide(B,double_divide(B,inverse(identity))) = inverse(identity),
    inference(subst,[],[refute_0_223:[bind(X_13,$fot(B))]]) ).

cnf(refute_0_225,plain,
    ( multiply(double_divide(B,inverse(identity)),B) != inverse(double_divide(B,double_divide(B,inverse(identity))))
    | double_divide(B,double_divide(B,inverse(identity))) != inverse(identity)
    | multiply(double_divide(B,inverse(identity)),B) = inverse(inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(B,inverse(identity)),B),inverse(double_divide(B,double_divide(B,inverse(identity))))) ),[1,0],$fot(inverse(identity))]]) ).

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

cnf(refute_0_227,plain,
    multiply(double_divide(B,inverse(identity)),B) = inverse(inverse(identity)),
    inference(resolve,[$cnf( $equal(multiply(double_divide(B,inverse(identity)),B),inverse(double_divide(B,double_divide(B,inverse(identity))))) )],[refute_0_203,refute_0_226]) ).

cnf(refute_0_228,plain,
    multiply(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity)),double_divide(identity,inverse(inverse(X_10)))) = inverse(inverse(identity)),
    inference(subst,[],[refute_0_227:[bind(B,$fot(double_divide(identity,inverse(inverse(X_10)))))]]) ).

cnf(refute_0_229,plain,
    ( multiply(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity)),double_divide(identity,inverse(inverse(X_10)))) != inverse(inverse(identity))
    | double_divide(X_10,multiply(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity)),double_divide(identity,inverse(inverse(X_10))))) != inverse(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity)))
    | double_divide(X_10,inverse(inverse(identity))) = inverse(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,multiply(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity)),double_divide(identity,inverse(inverse(X_10))))),inverse(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity)))) ),[0,1],$fot(inverse(inverse(identity)))]]) ).

cnf(refute_0_230,plain,
    ( double_divide(X_10,multiply(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity)),double_divide(identity,inverse(inverse(X_10))))) != inverse(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity)))
    | double_divide(X_10,inverse(inverse(identity))) = inverse(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity))) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity)),double_divide(identity,inverse(inverse(X_10)))),inverse(inverse(identity))) )],[refute_0_228,refute_0_229]) ).

cnf(refute_0_231,plain,
    double_divide(X_10,inverse(inverse(identity))) = inverse(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity))),
    inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity)),double_divide(identity,inverse(inverse(X_10))))),inverse(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity)))) )],[refute_0_202,refute_0_230]) ).

cnf(refute_0_232,plain,
    inverse(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity))) = multiply(inverse(identity),double_divide(identity,inverse(inverse(X_10)))),
    inference(subst,[],[refute_0_52:[bind(A,$fot(inverse(identity))),bind(B,$fot(double_divide(identity,inverse(inverse(X_10)))))]]) ).

cnf(refute_0_233,plain,
    ( double_divide(X_10,inverse(inverse(identity))) != inverse(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity)))
    | inverse(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity))) != multiply(inverse(identity),double_divide(identity,inverse(inverse(X_10))))
    | double_divide(X_10,inverse(inverse(identity))) = multiply(inverse(identity),double_divide(identity,inverse(inverse(X_10)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_10,inverse(inverse(identity))),multiply(inverse(identity),double_divide(identity,inverse(inverse(X_10))))) ),[0],$fot(inverse(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity))))]]) ).

cnf(refute_0_234,plain,
    ( double_divide(X_10,inverse(inverse(identity))) != inverse(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity)))
    | double_divide(X_10,inverse(inverse(identity))) = multiply(inverse(identity),double_divide(identity,inverse(inverse(X_10)))) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity))),multiply(inverse(identity),double_divide(identity,inverse(inverse(X_10))))) )],[refute_0_232,refute_0_233]) ).

cnf(refute_0_235,plain,
    double_divide(X_10,inverse(inverse(identity))) = multiply(inverse(identity),double_divide(identity,inverse(inverse(X_10)))),
    inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(inverse(identity))),inverse(double_divide(double_divide(identity,inverse(inverse(X_10))),inverse(identity)))) )],[refute_0_231,refute_0_234]) ).

cnf(refute_0_236,plain,
    double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))) = multiply(inverse(identity),double_divide(identity,inverse(inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity))))),
    inference(subst,[],[refute_0_235:[bind(X_10,$fot(multiply(double_divide(inverse(identity),inverse(identity)),identity)))]]) ).

cnf(refute_0_237,plain,
    double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),double_divide(identity,inverse(identity))),identity))) = inverse(identity),
    inference(subst,[],[refute_0_78:[bind(X_10,$fot(X_16)),bind(X_12,$fot(inverse(identity)))]]) ).

cnf(refute_0_238,plain,
    identity = double_divide(identity,inverse(identity)),
    inference(subst,[],[identity:[bind(A,$fot(identity))]]) ).

cnf(refute_0_239,plain,
    ( identity != double_divide(identity,inverse(identity))
    | double_divide(identity,inverse(identity)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(identity,inverse(identity))))]]) ).

cnf(refute_0_240,plain,
    double_divide(identity,inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(identity,inverse(identity))) )],[refute_0_238,refute_0_239]) ).

cnf(refute_0_241,plain,
    ( double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),double_divide(identity,inverse(identity))),identity))) != inverse(identity)
    | double_divide(identity,inverse(identity)) != identity
    | double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),identity),identity))) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),double_divide(identity,inverse(identity))),identity))),inverse(identity)) ),[0,1,0,0,1],$fot(identity)]]) ).

cnf(refute_0_242,plain,
    ( double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),double_divide(identity,inverse(identity))),identity))) != inverse(identity)
    | double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),identity),identity))) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_240,refute_0_241]) ).

cnf(refute_0_243,plain,
    double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),identity),identity))) = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),double_divide(identity,inverse(identity))),identity))),inverse(identity)) )],[refute_0_237,refute_0_242]) ).

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

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

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

cnf(refute_0_247,plain,
    double_divide(inverse(identity),double_divide(identity,identity)) = double_divide(inverse(identity),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_166,refute_0_246]) ).

cnf(refute_0_248,plain,
    multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity) = multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity),
    introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity))]]) ).

cnf(refute_0_249,plain,
    ( multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity) != multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)
    | double_divide(inverse(identity),double_divide(identity,identity)) != double_divide(inverse(identity),inverse(identity))
    | multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity) = multiply(double_divide(inverse(identity),inverse(identity)),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity),multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)) ),[1,0],$fot(double_divide(inverse(identity),inverse(identity)))]]) ).

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

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

cnf(refute_0_252,plain,
    inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)),
    introduced(tautology,[refl,[$fot(inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)))]]) ).

cnf(refute_0_253,plain,
    ( multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity) != multiply(double_divide(inverse(identity),inverse(identity)),identity)
    | inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)) != inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity))
    | inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)) = inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)),inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity))) ),[1,0],$fot(multiply(double_divide(inverse(identity),inverse(identity)),identity))]]) ).

cnf(refute_0_254,plain,
    ( multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity) != multiply(double_divide(inverse(identity),inverse(identity)),identity)
    | inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)) = inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)),inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity))) )],[refute_0_252,refute_0_253]) ).

cnf(refute_0_255,plain,
    inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)) = inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)) )],[refute_0_251,refute_0_254]) ).

cnf(refute_0_256,plain,
    double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_17)),identity)))),identity))) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_17)),identity)),
    inference(subst,[],[refute_0_78:[bind(X_12,$fot(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_17)),identity))))]]) ).

cnf(refute_0_257,plain,
    double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_17)),identity))) = X_17,
    inference(subst,[],[refute_0_78:[bind(X_10,$fot(identity)),bind(X_12,$fot(X_17))]]) ).

cnf(refute_0_258,plain,
    ( double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_17)),identity)))),identity))) != inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_17)),identity))
    | double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_17)),identity))) != X_17
    | double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_17),identity))) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_17)),identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_17)),identity)))),identity))),inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_17)),identity))) ),[0,1,0,0,1],$fot(X_17)]]) ).

cnf(refute_0_259,plain,
    ( double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_17)),identity)))),identity))) != inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_17)),identity))
    | double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_17),identity))) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_17)),identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_17)),identity))),X_17) )],[refute_0_257,refute_0_258]) ).

cnf(refute_0_260,plain,
    double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_17),identity))) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_17)),identity)),
    inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_17)),identity)))),identity))),inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_17)),identity))) )],[refute_0_256,refute_0_259]) ).

cnf(refute_0_261,plain,
    double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),identity),identity))) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)),
    inference(subst,[],[refute_0_260:[bind(X_10,$fot(X_16)),bind(X_17,$fot(identity))]]) ).

cnf(refute_0_262,plain,
    ( double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),identity),identity))) != inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity))
    | inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)) != inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity))
    | double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),identity),identity))) = inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),identity),identity))))),bind(Y,$fot(inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)))),bind(Z,$fot(inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity))))]]) ).

cnf(refute_0_263,plain,
    ( inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)) != inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity))
    | double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),identity),identity))) = inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),identity),identity))),inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity))) )],[refute_0_261,refute_0_262]) ).

cnf(refute_0_264,plain,
    double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),identity),identity))) = inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)),inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity))) )],[refute_0_255,refute_0_263]) ).

cnf(refute_0_265,plain,
    ( double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),identity),identity))) != inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity))
    | double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),identity),identity))) != inverse(identity)
    | inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),identity),identity))),inverse(identity)) ),[0],$fot(inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)))]]) ).

cnf(refute_0_266,plain,
    ( double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),identity),identity))) != inverse(identity)
    | inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),identity),identity))),inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity))) )],[refute_0_264,refute_0_265]) ).

cnf(refute_0_267,plain,
    inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(X_16,inverse(multiply(double_divide(inverse(X_16),identity),identity))),inverse(identity)) )],[refute_0_243,refute_0_266]) ).

cnf(refute_0_268,plain,
    ( double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))) != multiply(inverse(identity),double_divide(identity,inverse(inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)))))
    | inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) != inverse(identity)
    | double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))) = multiply(inverse(identity),double_divide(identity,inverse(inverse(identity)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),multiply(inverse(identity),double_divide(identity,inverse(inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)))))) ),[1,1,1,0],$fot(inverse(identity))]]) ).

cnf(refute_0_269,plain,
    ( double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))) != multiply(inverse(identity),double_divide(identity,inverse(inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)))))
    | double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))) = multiply(inverse(identity),double_divide(identity,inverse(inverse(identity)))) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)),inverse(identity)) )],[refute_0_267,refute_0_268]) ).

cnf(refute_0_270,plain,
    double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))) = multiply(inverse(identity),double_divide(identity,inverse(inverse(identity)))),
    inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),multiply(inverse(identity),double_divide(identity,inverse(inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)))))) )],[refute_0_236,refute_0_269]) ).

cnf(refute_0_271,plain,
    ( double_divide(X_10,inverse(inverse(identity))) != multiply(inverse(identity),double_divide(identity,inverse(inverse(X_10))))
    | multiply(inverse(identity),double_divide(identity,inverse(inverse(X_10)))) = double_divide(X_10,inverse(inverse(identity))) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(X_10,inverse(inverse(identity))))),bind(Y,$fot(multiply(inverse(identity),double_divide(identity,inverse(inverse(X_10))))))]]) ).

cnf(refute_0_272,plain,
    multiply(inverse(identity),double_divide(identity,inverse(inverse(X_10)))) = double_divide(X_10,inverse(inverse(identity))),
    inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(inverse(identity))),multiply(inverse(identity),double_divide(identity,inverse(inverse(X_10))))) )],[refute_0_235,refute_0_271]) ).

cnf(refute_0_273,plain,
    multiply(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = double_divide(identity,inverse(inverse(identity))),
    inference(subst,[],[refute_0_272:[bind(X_10,$fot(identity))]]) ).

cnf(refute_0_274,plain,
    ( multiply(inverse(identity),double_divide(identity,inverse(inverse(identity)))) != double_divide(identity,inverse(inverse(identity)))
    | double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))) != multiply(inverse(identity),double_divide(identity,inverse(inverse(identity))))
    | double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))) = double_divide(identity,inverse(inverse(identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),multiply(inverse(identity),double_divide(identity,inverse(inverse(identity))))) ),[1],$fot(double_divide(identity,inverse(inverse(identity))))]]) ).

cnf(refute_0_275,plain,
    ( double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))) != multiply(inverse(identity),double_divide(identity,inverse(inverse(identity))))
    | double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))) = double_divide(identity,inverse(inverse(identity))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(inverse(identity)))) )],[refute_0_273,refute_0_274]) ).

cnf(refute_0_276,plain,
    double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))) = double_divide(identity,inverse(inverse(identity))),
    inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),multiply(inverse(identity),double_divide(identity,inverse(inverse(identity))))) )],[refute_0_270,refute_0_275]) ).

cnf(refute_0_277,plain,
    ( multiply(inverse(inverse(identity)),multiply(double_divide(inverse(identity),inverse(identity)),identity)) != inverse(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))))
    | double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))) != double_divide(identity,inverse(inverse(identity)))
    | multiply(inverse(inverse(identity)),multiply(double_divide(inverse(identity),inverse(identity)),identity)) = inverse(double_divide(identity,inverse(inverse(identity)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(identity)),multiply(double_divide(inverse(identity),inverse(identity)),identity)),inverse(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))))) ),[1,0],$fot(double_divide(identity,inverse(inverse(identity))))]]) ).

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

cnf(refute_0_279,plain,
    multiply(inverse(inverse(identity)),multiply(double_divide(inverse(identity),inverse(identity)),identity)) = inverse(double_divide(identity,inverse(inverse(identity)))),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),multiply(double_divide(inverse(identity),inverse(identity)),identity)),inverse(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))))) )],[refute_0_201,refute_0_278]) ).

cnf(refute_0_280,plain,
    inverse(double_divide(identity,inverse(inverse(identity)))) = multiply(inverse(inverse(identity)),identity),
    inference(subst,[],[refute_0_52:[bind(A,$fot(inverse(inverse(identity)))),bind(B,$fot(identity))]]) ).

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

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

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

cnf(refute_0_284,plain,
    ( multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),multiply(double_divide(inverse(identity),inverse(identity)),identity))))) != identity
    | multiply(inverse(inverse(identity)),multiply(double_divide(inverse(identity),inverse(identity)),identity)) != multiply(inverse(inverse(identity)),identity)
    | multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),multiply(double_divide(inverse(identity),inverse(identity)),identity))))),identity) ),[0,1,1,0],$fot(multiply(inverse(inverse(identity)),identity))]]) ).

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

cnf(refute_0_286,plain,
    multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))) = identity,
    inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),multiply(double_divide(inverse(identity),inverse(identity)),identity))))),identity) )],[refute_0_200,refute_0_285]) ).

cnf(refute_0_287,plain,
    inverse(multiply(inverse(inverse(identity)),identity)) = double_divide(identity,inverse(identity)),
    inference(subst,[],[refute_0_145:[bind(X_13,$fot(identity))]]) ).

cnf(refute_0_288,plain,
    ( double_divide(identity,inverse(identity)) != identity
    | inverse(multiply(inverse(inverse(identity)),identity)) != double_divide(identity,inverse(identity))
    | inverse(multiply(inverse(inverse(identity)),identity)) = identity ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(inverse(multiply(inverse(inverse(identity)),identity)))),bind(Y,$fot(double_divide(identity,inverse(identity)))),bind(Z,$fot(identity))]]) ).

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

cnf(refute_0_290,plain,
    inverse(multiply(inverse(inverse(identity)),identity)) = identity,
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_240,refute_0_289]) ).

cnf(refute_0_291,plain,
    double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity))) = double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity))),
    introduced(tautology,[refl,[$fot(double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity))))]]) ).

cnf(refute_0_292,plain,
    ( double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity))) != double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))
    | inverse(multiply(inverse(inverse(identity)),identity)) != identity
    | double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity))) = double_divide(identity,identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))) ),[1,1],$fot(identity)]]) ).

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

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

cnf(refute_0_295,plain,
    ( double_divide(identity,identity) != inverse(identity)
    | double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity))) != double_divide(identity,identity)
    | double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity))) = inverse(identity) ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity))))),bind(Y,$fot(double_divide(identity,identity))),bind(Z,$fot(inverse(identity)))]]) ).

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

cnf(refute_0_297,plain,
    double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity))) = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_166,refute_0_296]) ).

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

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

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

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

cnf(refute_0_302,plain,
    multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))) = multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))),
    introduced(tautology,[refl,[$fot(multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))))]]) ).

cnf(refute_0_303,plain,
    ( multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))) != multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity))))
    | double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))) != double_divide(identity,inverse(inverse(identity)))
    | multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))) = multiply(double_divide(identity,inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))),multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity))))) ),[1,0],$fot(double_divide(identity,inverse(inverse(identity))))]]) ).

cnf(refute_0_304,plain,
    ( double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))) != double_divide(identity,inverse(inverse(identity)))
    | multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))) = multiply(double_divide(identity,inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))),multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity))))) )],[refute_0_302,refute_0_303]) ).

cnf(refute_0_305,plain,
    multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))) = multiply(double_divide(identity,inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))),
    inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(inverse(identity)))) )],[refute_0_276,refute_0_304]) ).

cnf(refute_0_306,plain,
    ( multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))) != multiply(double_divide(identity,inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity))))
    | multiply(double_divide(identity,inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))) != multiply(double_divide(identity,inverse(inverse(identity))),inverse(identity))
    | multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))) = multiply(double_divide(identity,inverse(inverse(identity))),inverse(identity)) ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))))),bind(Y,$fot(multiply(double_divide(identity,inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))))),bind(Z,$fot(multiply(double_divide(identity,inverse(inverse(identity))),inverse(identity))))]]) ).

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

cnf(refute_0_308,plain,
    multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))) = multiply(double_divide(identity,inverse(inverse(identity))),inverse(identity)),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))),multiply(double_divide(identity,inverse(inverse(identity))),inverse(identity))) )],[refute_0_301,refute_0_307]) ).

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

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

cnf(refute_0_311,plain,
    multiply(double_divide(identity,inverse(inverse(identity))),inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))),double_divide(identity,inverse(multiply(inverse(inverse(identity)),identity)))),identity) )],[refute_0_286,refute_0_310]) ).

cnf(refute_0_312,plain,
    ( multiply(double_divide(identity,inverse(inverse(identity))),inverse(identity)) != identity
    | multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(multiply(double_divide(identity,inverse(inverse(identity))),inverse(identity))))) != identity
    | multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(identity))) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(multiply(double_divide(identity,inverse(inverse(identity))),inverse(identity))))),identity) ),[0,1,1,0],$fot(identity)]]) ).

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

cnf(refute_0_314,plain,
    multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(identity))) = identity,
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(multiply(double_divide(identity,inverse(inverse(identity))),inverse(identity))))),identity) )],[refute_0_199,refute_0_313]) ).

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

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

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

cnf(refute_0_318,plain,
    multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(identity))) = multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_240,refute_0_317]) ).

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

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

cnf(refute_0_321,plain,
    multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity) = identity,
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(identity))),identity) )],[refute_0_314,refute_0_320]) ).

cnf(refute_0_322,plain,
    multiply(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity),double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))))) = inverse(identity),
    inference(subst,[],[refute_0_139:[bind(A,$fot(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))))),bind(B,$fot(identity))]]) ).

cnf(refute_0_323,plain,
    ( multiply(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity),double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))))) != inverse(identity)
    | multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity) != identity
    | multiply(identity,double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))))) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity),double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))))),inverse(identity)) ),[0,0],$fot(identity)]]) ).

cnf(refute_0_324,plain,
    ( multiply(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity),double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))))) != inverse(identity)
    | multiply(identity,double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))))) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity),identity) )],[refute_0_321,refute_0_323]) ).

cnf(refute_0_325,plain,
    multiply(identity,double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))))) = inverse(identity),
    inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity),double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))))),inverse(identity)) )],[refute_0_322,refute_0_324]) ).

cnf(refute_0_326,plain,
    double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),inverse(X_14))))) = inverse(multiply(double_divide(inverse(B),double_divide(identity,inverse(X_14))),identity)),
    inference(subst,[],[refute_0_82:[bind(X_17,$fot(inverse(X_14)))]]) ).

cnf(refute_0_327,plain,
    ( double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),inverse(X_14))))) != multiply(X_14,double_divide(identity,inverse(inverse(B))))
    | double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),inverse(X_14))))) != inverse(multiply(double_divide(inverse(B),double_divide(identity,inverse(X_14))),identity))
    | inverse(multiply(double_divide(inverse(B),double_divide(identity,inverse(X_14))),identity)) = multiply(X_14,double_divide(identity,inverse(inverse(B)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),inverse(X_14))))),multiply(X_14,double_divide(identity,inverse(inverse(B))))) ),[0],$fot(inverse(multiply(double_divide(inverse(B),double_divide(identity,inverse(X_14))),identity)))]]) ).

cnf(refute_0_328,plain,
    ( double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),inverse(X_14))))) != multiply(X_14,double_divide(identity,inverse(inverse(B))))
    | inverse(multiply(double_divide(inverse(B),double_divide(identity,inverse(X_14))),identity)) = multiply(X_14,double_divide(identity,inverse(inverse(B)))) ),
    inference(resolve,[$cnf( $equal(double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),inverse(X_14))))),inverse(multiply(double_divide(inverse(B),double_divide(identity,inverse(X_14))),identity))) )],[refute_0_326,refute_0_327]) ).

cnf(refute_0_329,plain,
    inverse(multiply(double_divide(inverse(B),double_divide(identity,inverse(X_14))),identity)) = multiply(X_14,double_divide(identity,inverse(inverse(B)))),
    inference(resolve,[$cnf( $equal(double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),inverse(X_14))))),multiply(X_14,double_divide(identity,inverse(inverse(B))))) )],[refute_0_122,refute_0_328]) ).

cnf(refute_0_330,plain,
    inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity)) = multiply(inverse(identity),double_divide(identity,inverse(inverse(identity)))),
    inference(subst,[],[refute_0_329:[bind(B,$fot(identity)),bind(X_14,$fot(inverse(identity)))]]) ).

cnf(refute_0_331,plain,
    ( multiply(inverse(identity),double_divide(identity,inverse(inverse(identity)))) != double_divide(identity,inverse(inverse(identity)))
    | inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity)) != multiply(inverse(identity),double_divide(identity,inverse(inverse(identity))))
    | inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity)) = double_divide(identity,inverse(inverse(identity))) ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity)))),bind(Y,$fot(multiply(inverse(identity),double_divide(identity,inverse(inverse(identity)))))),bind(Z,$fot(double_divide(identity,inverse(inverse(identity)))))]]) ).

cnf(refute_0_332,plain,
    ( multiply(inverse(identity),double_divide(identity,inverse(inverse(identity)))) != double_divide(identity,inverse(inverse(identity)))
    | inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity)) = double_divide(identity,inverse(inverse(identity))) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity)),multiply(inverse(identity),double_divide(identity,inverse(inverse(identity))))) )],[refute_0_330,refute_0_331]) ).

cnf(refute_0_333,plain,
    inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity)) = double_divide(identity,inverse(inverse(identity))),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(inverse(identity)))) )],[refute_0_273,refute_0_332]) ).

cnf(refute_0_334,plain,
    double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12))))))))) = multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12)))),
    inference(subst,[],[refute_0_60:[bind(C,$fot(multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12))))))]]) ).

cnf(refute_0_335,plain,
    double_divide(B,multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12))))) = X_12,
    inference(subst,[],[refute_0_60:[bind(A,$fot(B)),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).

cnf(refute_0_336,plain,
    ( double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12))))))))) != multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12))))
    | double_divide(B,multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12))))) != X_12
    | double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),X_12)))) = multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12))))))))),multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12))))) ),[0,1,1,1,1],$fot(X_12)]]) ).

cnf(refute_0_337,plain,
    ( double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12))))))))) != multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12))))
    | double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),X_12)))) = multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12)))) ),
    inference(resolve,[$cnf( $equal(double_divide(B,multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12))))),X_12) )],[refute_0_335,refute_0_336]) ).

cnf(refute_0_338,plain,
    double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),X_12)))) = multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12)))),
    inference(resolve,[$cnf( $equal(double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12))))))))),multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12))))) )],[refute_0_334,refute_0_337]) ).

cnf(refute_0_339,plain,
    double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),X_12)))) = inverse(multiply(double_divide(inverse(B),double_divide(identity,X_12)),identity)),
    inference(subst,[],[refute_0_82:[bind(X_17,$fot(X_12))]]) ).

cnf(refute_0_340,plain,
    ( double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),X_12)))) != multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12))))
    | double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),X_12)))) != inverse(multiply(double_divide(inverse(B),double_divide(identity,X_12)),identity))
    | inverse(multiply(double_divide(inverse(B),double_divide(identity,X_12)),identity)) = multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),X_12)))),multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12))))) ),[0],$fot(inverse(multiply(double_divide(inverse(B),double_divide(identity,X_12)),identity)))]]) ).

cnf(refute_0_341,plain,
    ( double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),X_12)))) != multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12))))
    | inverse(multiply(double_divide(inverse(B),double_divide(identity,X_12)),identity)) = multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12)))) ),
    inference(resolve,[$cnf( $equal(double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),X_12)))),inverse(multiply(double_divide(inverse(B),double_divide(identity,X_12)),identity))) )],[refute_0_339,refute_0_340]) ).

cnf(refute_0_342,plain,
    inverse(multiply(double_divide(inverse(B),double_divide(identity,X_12)),identity)) = multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12)))),
    inference(resolve,[$cnf( $equal(double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),X_12)))),multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12))))) )],[refute_0_338,refute_0_341]) ).

cnf(refute_0_343,plain,
    ( inverse(multiply(double_divide(inverse(B),double_divide(identity,X_12)),identity)) != multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12))))
    | multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12)))) = inverse(multiply(double_divide(inverse(B),double_divide(identity,X_12)),identity)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(multiply(double_divide(inverse(B),double_divide(identity,X_12)),identity)))),bind(Y,$fot(multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12))))))]]) ).

cnf(refute_0_344,plain,
    multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12)))) = inverse(multiply(double_divide(inverse(B),double_divide(identity,X_12)),identity)),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(B),double_divide(identity,X_12)),identity)),multiply(X_11,double_divide(identity,double_divide(inverse(B),double_divide(X_11,X_12))))) )],[refute_0_342,refute_0_343]) ).

cnf(refute_0_345,plain,
    multiply(identity,double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))))) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity)),
    inference(subst,[],[refute_0_344:[bind(B,$fot(identity)),bind(X_11,$fot(identity)),bind(X_12,$fot(inverse(inverse(identity))))]]) ).

cnf(refute_0_346,plain,
    ( multiply(identity,double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))))) != inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity))
    | inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity)) != double_divide(identity,inverse(inverse(identity)))
    | multiply(identity,double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))))) = double_divide(identity,inverse(inverse(identity))) ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(multiply(identity,double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))))))),bind(Y,$fot(inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity)))),bind(Z,$fot(double_divide(identity,inverse(inverse(identity)))))]]) ).

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

cnf(refute_0_348,plain,
    multiply(identity,double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))))) = double_divide(identity,inverse(inverse(identity))),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity)),double_divide(identity,inverse(inverse(identity)))) )],[refute_0_333,refute_0_347]) ).

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

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

cnf(refute_0_351,plain,
    double_divide(identity,inverse(inverse(identity))) = inverse(identity),
    inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))))),inverse(identity)) )],[refute_0_325,refute_0_350]) ).

cnf(refute_0_352,plain,
    double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))))]]) ).

cnf(refute_0_353,plain,
    ( double_divide(identity,inverse(inverse(identity))) != inverse(identity)
    | double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) != double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity))))
    | double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = double_divide(inverse(identity),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity))))) ),[1,1],$fot(inverse(identity))]]) ).

cnf(refute_0_354,plain,
    ( double_divide(identity,inverse(inverse(identity))) != inverse(identity)
    | double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = double_divide(inverse(identity),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity))))) )],[refute_0_352,refute_0_353]) ).

cnf(refute_0_355,plain,
    double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = double_divide(inverse(identity),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(identity))),inverse(identity)) )],[refute_0_351,refute_0_354]) ).

cnf(refute_0_356,plain,
    multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity) = multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity),
    introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity))]]) ).

cnf(refute_0_357,plain,
    ( multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity) != multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity)
    | double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) != double_divide(inverse(identity),inverse(identity))
    | multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity) = multiply(double_divide(inverse(identity),inverse(identity)),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity),multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity)) ),[1,0],$fot(double_divide(inverse(identity),inverse(identity)))]]) ).

cnf(refute_0_358,plain,
    ( double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) != double_divide(inverse(identity),inverse(identity))
    | multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity) = multiply(double_divide(inverse(identity),inverse(identity)),identity) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity),multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity)) )],[refute_0_356,refute_0_357]) ).

cnf(refute_0_359,plain,
    multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity) = multiply(double_divide(inverse(identity),inverse(identity)),identity),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),double_divide(inverse(identity),inverse(identity))) )],[refute_0_355,refute_0_358]) ).

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

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

cnf(refute_0_362,plain,
    multiply(double_divide(inverse(identity),inverse(identity)),identity) = identity,
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity),identity) )],[refute_0_321,refute_0_361]) ).

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

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

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

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

cnf(refute_0_367,plain,
    ( multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity)) != multiply(identity,inverse(identity))
    | multiply(identity,inverse(identity)) != inverse(inverse(inverse(identity)))
    | multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity)) = inverse(inverse(inverse(identity))) ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity)))),bind(Y,$fot(multiply(identity,inverse(identity)))),bind(Z,$fot(inverse(inverse(inverse(identity)))))]]) ).

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

cnf(refute_0_369,plain,
    multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity)) = inverse(inverse(inverse(identity))),
    inference(resolve,[$cnf( $equal(multiply(identity,inverse(identity)),inverse(inverse(inverse(identity)))) )],[refute_0_194,refute_0_368]) ).

cnf(refute_0_370,plain,
    ( multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity)) != identity
    | multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity)) != inverse(inverse(inverse(identity)))
    | inverse(inverse(inverse(identity))) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity)),identity) ),[0],$fot(inverse(inverse(inverse(identity))))]]) ).

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

cnf(refute_0_372,plain,
    inverse(inverse(inverse(identity))) = identity,
    inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity)),identity) )],[refute_0_193,refute_0_371]) ).

cnf(refute_0_373,plain,
    multiply(multiply(inverse(inverse(identity)),identity),double_divide(identity,multiply(inverse(identity),identity))) = identity,
    inference(subst,[],[refute_0_160:[bind(X_13,$fot(identity))]]) ).

cnf(refute_0_374,plain,
    multiply(inverse(identity),identity) = inverse(identity),
    inference(subst,[],[refute_0_135:[bind(X_3,$fot(identity))]]) ).

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

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

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

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

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

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

cnf(refute_0_381,plain,
    multiply(multiply(inverse(inverse(identity)),identity),double_divide(identity,inverse(identity))) = multiply(multiply(inverse(inverse(identity)),identity),identity),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_240,refute_0_380]) ).

cnf(refute_0_382,plain,
    ( multiply(multiply(inverse(inverse(identity)),identity),double_divide(identity,inverse(identity))) != multiply(multiply(inverse(inverse(identity)),identity),identity)
    | multiply(multiply(inverse(inverse(identity)),identity),double_divide(identity,inverse(identity))) != identity
    | multiply(multiply(inverse(inverse(identity)),identity),identity) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(identity)),identity),double_divide(identity,inverse(identity))),identity) ),[0],$fot(multiply(multiply(inverse(inverse(identity)),identity),identity))]]) ).

cnf(refute_0_383,plain,
    ( multiply(multiply(inverse(inverse(identity)),identity),double_divide(identity,inverse(identity))) != identity
    | multiply(multiply(inverse(inverse(identity)),identity),identity) = identity ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(identity)),identity),double_divide(identity,inverse(identity))),multiply(multiply(inverse(inverse(identity)),identity),identity)) )],[refute_0_381,refute_0_382]) ).

cnf(refute_0_384,plain,
    multiply(multiply(inverse(inverse(identity)),identity),identity) = identity,
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(identity)),identity),double_divide(identity,inverse(identity))),identity) )],[refute_0_377,refute_0_383]) ).

cnf(refute_0_385,plain,
    multiply(identity,identity) = inverse(inverse(identity)),
    inference(subst,[],[refute_0_15:[bind(X_3,$fot(identity))]]) ).

cnf(refute_0_386,plain,
    multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),double_divide(identity,inverse(multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity))))) = identity,
    inference(subst,[],[refute_0_198:[bind(A,$fot(multiply(double_divide(inverse(identity),inverse(identity)),identity))),bind(B,$fot(inverse(identity)))]]) ).

cnf(refute_0_387,plain,
    ( multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity)) != identity
    | multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),double_divide(identity,inverse(multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity))))) != identity
    | multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),double_divide(identity,inverse(identity))) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),double_divide(identity,inverse(multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity))))),identity) ),[0,1,1,0],$fot(identity)]]) ).

cnf(refute_0_388,plain,
    ( multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),double_divide(identity,inverse(multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity))))) != identity
    | multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),double_divide(identity,inverse(identity))) = identity ),
    inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity)),identity) )],[refute_0_193,refute_0_387]) ).

cnf(refute_0_389,plain,
    multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),double_divide(identity,inverse(identity))) = identity,
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),double_divide(identity,inverse(multiply(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(identity))))),identity) )],[refute_0_386,refute_0_388]) ).

cnf(refute_0_390,plain,
    multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),double_divide(identity,inverse(identity))) = multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),double_divide(identity,inverse(identity))),
    introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),double_divide(identity,inverse(identity))))]]) ).

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

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

cnf(refute_0_393,plain,
    multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),double_divide(identity,inverse(identity))) = multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_240,refute_0_392]) ).

cnf(refute_0_394,plain,
    ( multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),double_divide(identity,inverse(identity))) != multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity)
    | multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),double_divide(identity,inverse(identity))) != identity
    | multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),double_divide(identity,inverse(identity))),identity) ),[0],$fot(multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity))]]) ).

cnf(refute_0_395,plain,
    ( multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),double_divide(identity,inverse(identity))) != identity
    | multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity) = identity ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),double_divide(identity,inverse(identity))),multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity)) )],[refute_0_393,refute_0_394]) ).

cnf(refute_0_396,plain,
    multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity) = identity,
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),double_divide(identity,inverse(identity))),identity) )],[refute_0_389,refute_0_395]) ).

cnf(refute_0_397,plain,
    double_divide(inverse(identity),identity) = inverse(inverse(identity)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(identity)))]]) ).

cnf(refute_0_398,plain,
    double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)) = double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),
    introduced(tautology,[refl,[$fot(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)))]]) ).

cnf(refute_0_399,plain,
    ( multiply(double_divide(inverse(identity),inverse(identity)),identity) != identity
    | double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)) != double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity))
    | double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)) = double_divide(inverse(identity),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity))) ),[1,1],$fot(identity)]]) ).

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

cnf(refute_0_401,plain,
    double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)) = double_divide(inverse(identity),identity),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),inverse(identity)),identity),identity) )],[refute_0_362,refute_0_400]) ).

cnf(refute_0_402,plain,
    ( double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)) != double_divide(inverse(identity),identity)
    | double_divide(inverse(identity),identity) != inverse(inverse(identity))
    | double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)) = inverse(inverse(identity)) ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)))),bind(Y,$fot(double_divide(inverse(identity),identity))),bind(Z,$fot(inverse(inverse(identity))))]]) ).

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

cnf(refute_0_404,plain,
    double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)) = inverse(inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),identity),inverse(inverse(identity))) )],[refute_0_397,refute_0_403]) ).

cnf(refute_0_405,plain,
    multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity) = multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity),
    introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity))]]) ).

cnf(refute_0_406,plain,
    ( multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity) != multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity)
    | double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)) != inverse(inverse(identity))
    | multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity) = multiply(inverse(inverse(identity)),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity),multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity)) ),[1,0],$fot(inverse(inverse(identity)))]]) ).

cnf(refute_0_407,plain,
    ( double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)) != inverse(inverse(identity))
    | multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity) = multiply(inverse(inverse(identity)),identity) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity),multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity)) )],[refute_0_405,refute_0_406]) ).

cnf(refute_0_408,plain,
    multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity) = multiply(inverse(inverse(identity)),identity),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),inverse(inverse(identity))) )],[refute_0_404,refute_0_407]) ).

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

cnf(refute_0_410,plain,
    ( multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity) != identity
    | multiply(inverse(inverse(identity)),identity) = identity ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity),multiply(inverse(inverse(identity)),identity)) )],[refute_0_408,refute_0_409]) ).

cnf(refute_0_411,plain,
    multiply(inverse(inverse(identity)),identity) = identity,
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)),identity),identity) )],[refute_0_396,refute_0_410]) ).

cnf(refute_0_412,plain,
    multiply(multiply(inverse(inverse(identity)),identity),identity) = multiply(multiply(inverse(inverse(identity)),identity),identity),
    introduced(tautology,[refl,[$fot(multiply(multiply(inverse(inverse(identity)),identity),identity))]]) ).

cnf(refute_0_413,plain,
    ( multiply(multiply(inverse(inverse(identity)),identity),identity) != multiply(multiply(inverse(inverse(identity)),identity),identity)
    | multiply(inverse(inverse(identity)),identity) != identity
    | multiply(multiply(inverse(inverse(identity)),identity),identity) = multiply(identity,identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(multiply(inverse(inverse(identity)),identity),identity)) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_414,plain,
    ( multiply(inverse(inverse(identity)),identity) != identity
    | multiply(multiply(inverse(inverse(identity)),identity),identity) = multiply(identity,identity) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(multiply(inverse(inverse(identity)),identity),identity)) )],[refute_0_412,refute_0_413]) ).

cnf(refute_0_415,plain,
    multiply(multiply(inverse(inverse(identity)),identity),identity) = multiply(identity,identity),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),identity),identity) )],[refute_0_411,refute_0_414]) ).

cnf(refute_0_416,plain,
    ( multiply(multiply(inverse(inverse(identity)),identity),identity) != multiply(identity,identity)
    | multiply(identity,identity) != inverse(inverse(identity))
    | multiply(multiply(inverse(inverse(identity)),identity),identity) = inverse(inverse(identity)) ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(multiply(multiply(inverse(inverse(identity)),identity),identity))),bind(Y,$fot(multiply(identity,identity))),bind(Z,$fot(inverse(inverse(identity))))]]) ).

cnf(refute_0_417,plain,
    ( multiply(identity,identity) != inverse(inverse(identity))
    | multiply(multiply(inverse(inverse(identity)),identity),identity) = inverse(inverse(identity)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(identity,identity)) )],[refute_0_415,refute_0_416]) ).

cnf(refute_0_418,plain,
    multiply(multiply(inverse(inverse(identity)),identity),identity) = inverse(inverse(identity)),
    inference(resolve,[$cnf( $equal(multiply(identity,identity),inverse(inverse(identity))) )],[refute_0_385,refute_0_417]) ).

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

cnf(refute_0_420,plain,
    ( multiply(multiply(inverse(inverse(identity)),identity),identity) != identity
    | inverse(inverse(identity)) = identity ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(inverse(identity))) )],[refute_0_418,refute_0_419]) ).

cnf(refute_0_421,plain,
    inverse(inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(identity)),identity),identity),identity) )],[refute_0_384,refute_0_420]) ).

cnf(refute_0_422,plain,
    inverse(inverse(inverse(identity))) = inverse(inverse(inverse(identity))),
    introduced(tautology,[refl,[$fot(inverse(inverse(inverse(identity))))]]) ).

cnf(refute_0_423,plain,
    ( inverse(inverse(identity)) != identity
    | inverse(inverse(inverse(identity))) != inverse(inverse(inverse(identity)))
    | inverse(inverse(inverse(identity))) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(identity))),inverse(inverse(inverse(identity)))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_424,plain,
    ( inverse(inverse(identity)) != identity
    | inverse(inverse(inverse(identity))) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(identity))),inverse(inverse(inverse(identity)))) )],[refute_0_422,refute_0_423]) ).

cnf(refute_0_425,plain,
    inverse(inverse(inverse(identity))) = inverse(identity),
    inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_421,refute_0_424]) ).

cnf(refute_0_426,plain,
    ( inverse(inverse(inverse(identity))) != identity
    | inverse(inverse(inverse(identity))) != inverse(identity)
    | inverse(identity) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(identity))),identity) ),[0],$fot(inverse(identity))]]) ).

cnf(refute_0_427,plain,
    ( inverse(inverse(inverse(identity))) != identity
    | inverse(identity) = identity ),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(identity))),inverse(identity)) )],[refute_0_425,refute_0_426]) ).

cnf(refute_0_428,plain,
    inverse(identity) = identity,
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(identity))),identity) )],[refute_0_372,refute_0_427]) ).

cnf(refute_0_429,plain,
    ( inverse(multiply(double_divide(inverse(identity),double_divide(identity,double_divide(identity,X_34))),identity)) != X_34
    | inverse(identity) != identity
    | inverse(multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_34))),identity)) = X_34 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,double_divide(identity,X_34))),identity)),X_34) ),[0,0,0,0],$fot(identity)]]) ).

cnf(refute_0_430,plain,
    ( inverse(multiply(double_divide(inverse(identity),double_divide(identity,double_divide(identity,X_34))),identity)) != X_34
    | inverse(multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_34))),identity)) = X_34 ),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_428,refute_0_429]) ).

cnf(refute_0_431,plain,
    inverse(multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_34))),identity)) = X_34,
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,double_divide(identity,X_34))),identity)),X_34) )],[refute_0_87,refute_0_430]) ).

cnf(refute_0_432,plain,
    inverse(multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)) = X_43,
    inference(subst,[],[refute_0_431:[bind(X_34,$fot(X_43))]]) ).

cnf(refute_0_433,plain,
    ( multiply(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)) != inverse(inverse(multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)))
    | inverse(multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)) != X_43
    | multiply(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)) = inverse(X_43) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)),inverse(inverse(multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)))) ),[1,0],$fot(X_43)]]) ).

cnf(refute_0_434,plain,
    ( multiply(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)) != inverse(inverse(multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)))
    | multiply(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)) = inverse(X_43) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)),X_43) )],[refute_0_432,refute_0_433]) ).

cnf(refute_0_435,plain,
    multiply(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)) = inverse(X_43),
    inference(resolve,[$cnf( $equal(multiply(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)),inverse(inverse(multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)))) )],[refute_0_21,refute_0_434]) ).

cnf(refute_0_436,plain,
    inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,double_divide(double_divide(identity,inverse(inverse(C))),C))),identity)) = C,
    inference(subst,[],[refute_0_86:[bind(B,$fot(double_divide(identity,inverse(inverse(C)))))]]) ).

cnf(refute_0_437,plain,
    identity = double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2))),
    inference(subst,[],[identity:[bind(A,$fot(double_divide(X_3,X_2)))]]) ).

cnf(refute_0_438,plain,
    multiply(X_2,X_3) = inverse(double_divide(X_3,X_2)),
    inference(subst,[],[refute_0_8:[bind(A,$fot(X_2)),bind(B,$fot(X_3))]]) ).

cnf(refute_0_439,plain,
    ( multiply(X_2,X_3) != inverse(double_divide(X_3,X_2))
    | inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_2,X_3))),bind(Y,$fot(inverse(double_divide(X_3,X_2))))]]) ).

cnf(refute_0_440,plain,
    inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3),
    inference(resolve,[$cnf( $equal(multiply(X_2,X_3),inverse(double_divide(X_3,X_2))) )],[refute_0_438,refute_0_439]) ).

cnf(refute_0_441,plain,
    ( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
    | inverse(double_divide(X_3,X_2)) != multiply(X_2,X_3)
    | identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
    introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) ),[1,1],$fot(multiply(X_2,X_3))]]) ).

cnf(refute_0_442,plain,
    ( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
    | identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_3,X_2)),multiply(X_2,X_3)) )],[refute_0_440,refute_0_441]) ).

cnf(refute_0_443,plain,
    identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),
    inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) )],[refute_0_437,refute_0_442]) ).

cnf(refute_0_444,plain,
    identity = double_divide(double_divide(identity,inverse(inverse(inverse(X_31)))),multiply(inverse(inverse(inverse(X_31))),identity)),
    inference(subst,[],[refute_0_443:[bind(X_2,$fot(inverse(inverse(inverse(X_31))))),bind(X_3,$fot(identity))]]) ).

cnf(refute_0_445,plain,
    double_divide(X_10,multiply(double_divide(identity,inverse(inverse(inverse(X_10)))),double_divide(identity,inverse(inverse(X_10))))) = inverse(double_divide(identity,inverse(inverse(inverse(X_10))))),
    inference(subst,[],[refute_0_118:[bind(X_11,$fot(double_divide(identity,inverse(inverse(inverse(X_10))))))]]) ).

cnf(refute_0_446,plain,
    multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,inverse(multiply(inverse(inverse(X_13)),identity)))) = identity,
    inference(subst,[],[refute_0_198:[bind(A,$fot(inverse(inverse(X_13)))),bind(B,$fot(identity))]]) ).

cnf(refute_0_447,plain,
    ( multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,inverse(multiply(inverse(inverse(X_13)),identity)))) != identity
    | inverse(multiply(inverse(inverse(X_13)),identity)) != double_divide(X_13,inverse(identity))
    | multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity)))) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,inverse(multiply(inverse(inverse(X_13)),identity)))),identity) ),[0,1,1],$fot(double_divide(X_13,inverse(identity)))]]) ).

cnf(refute_0_448,plain,
    ( multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,inverse(multiply(inverse(inverse(X_13)),identity)))) != identity
    | multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity)))) = identity ),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_13)),identity)),double_divide(X_13,inverse(identity))) )],[refute_0_145,refute_0_447]) ).

cnf(refute_0_449,plain,
    multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity)))) = identity,
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,inverse(multiply(inverse(inverse(X_13)),identity)))),identity) )],[refute_0_446,refute_0_448]) ).

cnf(refute_0_450,plain,
    double_divide(X_13,identity) = inverse(X_13),
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_13))]]) ).

cnf(refute_0_451,plain,
    double_divide(X_13,inverse(identity)) = double_divide(X_13,inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(X_13,inverse(identity)))]]) ).

cnf(refute_0_452,plain,
    ( double_divide(X_13,inverse(identity)) != double_divide(X_13,inverse(identity))
    | inverse(identity) != identity
    | double_divide(X_13,inverse(identity)) = double_divide(X_13,identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_13,inverse(identity)),double_divide(X_13,inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_453,plain,
    ( inverse(identity) != identity
    | double_divide(X_13,inverse(identity)) = double_divide(X_13,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(X_13,inverse(identity)),double_divide(X_13,inverse(identity))) )],[refute_0_451,refute_0_452]) ).

cnf(refute_0_454,plain,
    double_divide(X_13,inverse(identity)) = double_divide(X_13,identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_428,refute_0_453]) ).

cnf(refute_0_455,plain,
    ( double_divide(X_13,identity) != inverse(X_13)
    | double_divide(X_13,inverse(identity)) != double_divide(X_13,identity)
    | double_divide(X_13,inverse(identity)) = inverse(X_13) ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(double_divide(X_13,inverse(identity)))),bind(Y,$fot(double_divide(X_13,identity))),bind(Z,$fot(inverse(X_13)))]]) ).

cnf(refute_0_456,plain,
    ( double_divide(X_13,identity) != inverse(X_13)
    | double_divide(X_13,inverse(identity)) = inverse(X_13) ),
    inference(resolve,[$cnf( $equal(double_divide(X_13,inverse(identity)),double_divide(X_13,identity)) )],[refute_0_454,refute_0_455]) ).

cnf(refute_0_457,plain,
    double_divide(X_13,inverse(identity)) = inverse(X_13),
    inference(resolve,[$cnf( $equal(double_divide(X_13,identity),inverse(X_13)) )],[refute_0_450,refute_0_456]) ).

cnf(refute_0_458,plain,
    double_divide(identity,double_divide(X_13,inverse(identity))) = double_divide(identity,double_divide(X_13,inverse(identity))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(X_13,inverse(identity))))]]) ).

cnf(refute_0_459,plain,
    ( double_divide(X_13,inverse(identity)) != inverse(X_13)
    | double_divide(identity,double_divide(X_13,inverse(identity))) != double_divide(identity,double_divide(X_13,inverse(identity)))
    | double_divide(identity,double_divide(X_13,inverse(identity))) = double_divide(identity,inverse(X_13)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(X_13,inverse(identity))),double_divide(identity,double_divide(X_13,inverse(identity)))) ),[1,1],$fot(inverse(X_13))]]) ).

cnf(refute_0_460,plain,
    ( double_divide(X_13,inverse(identity)) != inverse(X_13)
    | double_divide(identity,double_divide(X_13,inverse(identity))) = double_divide(identity,inverse(X_13)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_13,inverse(identity))),double_divide(identity,double_divide(X_13,inverse(identity)))) )],[refute_0_458,refute_0_459]) ).

cnf(refute_0_461,plain,
    double_divide(identity,double_divide(X_13,inverse(identity))) = double_divide(identity,inverse(X_13)),
    inference(resolve,[$cnf( $equal(double_divide(X_13,inverse(identity)),inverse(X_13)) )],[refute_0_457,refute_0_460]) ).

cnf(refute_0_462,plain,
    multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity)))) = multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity)))),
    introduced(tautology,[refl,[$fot(multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity)))))]]) ).

cnf(refute_0_463,plain,
    ( multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity)))) != multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity))))
    | double_divide(identity,double_divide(X_13,inverse(identity))) != double_divide(identity,inverse(X_13))
    | multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity)))) = multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,inverse(X_13))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity)))),multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity))))) ),[1,1],$fot(double_divide(identity,inverse(X_13)))]]) ).

cnf(refute_0_464,plain,
    ( double_divide(identity,double_divide(X_13,inverse(identity))) != double_divide(identity,inverse(X_13))
    | multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity)))) = multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,inverse(X_13))) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity)))),multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity))))) )],[refute_0_462,refute_0_463]) ).

cnf(refute_0_465,plain,
    multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity)))) = multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,inverse(X_13))),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_13,inverse(identity))),double_divide(identity,inverse(X_13))) )],[refute_0_461,refute_0_464]) ).

cnf(refute_0_466,plain,
    ( multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity)))) != multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,inverse(X_13)))
    | multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity)))) != identity
    | multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,inverse(X_13))) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity)))),identity) ),[0],$fot(multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,inverse(X_13))))]]) ).

cnf(refute_0_467,plain,
    ( multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity)))) != identity
    | multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,inverse(X_13))) = identity ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity)))),multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,inverse(X_13)))) )],[refute_0_465,refute_0_466]) ).

cnf(refute_0_468,plain,
    multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,inverse(X_13))) = identity,
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(X_13))),double_divide(identity,double_divide(X_13,inverse(identity)))),identity) )],[refute_0_449,refute_0_467]) ).

cnf(refute_0_469,plain,
    multiply(double_divide(identity,inverse(inverse(inverse(X_10)))),double_divide(identity,inverse(inverse(X_10)))) = identity,
    inference(subst,[],[refute_0_468:[bind(X_13,$fot(inverse(X_10)))]]) ).

cnf(refute_0_470,plain,
    ( multiply(double_divide(identity,inverse(inverse(inverse(X_10)))),double_divide(identity,inverse(inverse(X_10)))) != identity
    | double_divide(X_10,multiply(double_divide(identity,inverse(inverse(inverse(X_10)))),double_divide(identity,inverse(inverse(X_10))))) != inverse(double_divide(identity,inverse(inverse(inverse(X_10)))))
    | double_divide(X_10,identity) = inverse(double_divide(identity,inverse(inverse(inverse(X_10))))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,multiply(double_divide(identity,inverse(inverse(inverse(X_10)))),double_divide(identity,inverse(inverse(X_10))))),inverse(double_divide(identity,inverse(inverse(inverse(X_10)))))) ),[0,1],$fot(identity)]]) ).

cnf(refute_0_471,plain,
    ( double_divide(X_10,multiply(double_divide(identity,inverse(inverse(inverse(X_10)))),double_divide(identity,inverse(inverse(X_10))))) != inverse(double_divide(identity,inverse(inverse(inverse(X_10)))))
    | double_divide(X_10,identity) = inverse(double_divide(identity,inverse(inverse(inverse(X_10))))) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(inverse(X_10)))),double_divide(identity,inverse(inverse(X_10)))),identity) )],[refute_0_469,refute_0_470]) ).

cnf(refute_0_472,plain,
    double_divide(X_10,identity) = inverse(double_divide(identity,inverse(inverse(inverse(X_10))))),
    inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(double_divide(identity,inverse(inverse(inverse(X_10)))),double_divide(identity,inverse(inverse(X_10))))),inverse(double_divide(identity,inverse(inverse(inverse(X_10)))))) )],[refute_0_445,refute_0_471]) ).

cnf(refute_0_473,plain,
    double_divide(X_10,identity) = inverse(X_10),
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_10))]]) ).

cnf(refute_0_474,plain,
    ( double_divide(X_10,identity) != inverse(X_10)
    | double_divide(X_10,identity) != inverse(double_divide(identity,inverse(inverse(inverse(X_10)))))
    | inverse(X_10) = inverse(double_divide(identity,inverse(inverse(inverse(X_10))))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,identity),inverse(double_divide(identity,inverse(inverse(inverse(X_10)))))) ),[0],$fot(inverse(X_10))]]) ).

cnf(refute_0_475,plain,
    ( double_divide(X_10,identity) != inverse(double_divide(identity,inverse(inverse(inverse(X_10)))))
    | inverse(X_10) = inverse(double_divide(identity,inverse(inverse(inverse(X_10))))) ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,identity),inverse(X_10)) )],[refute_0_473,refute_0_474]) ).

cnf(refute_0_476,plain,
    inverse(double_divide(identity,inverse(inverse(inverse(X_10))))) = multiply(inverse(inverse(inverse(X_10))),identity),
    inference(subst,[],[refute_0_52:[bind(A,$fot(inverse(inverse(inverse(X_10))))),bind(B,$fot(identity))]]) ).

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

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

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

cnf(refute_0_480,plain,
    inverse(X_10) = multiply(inverse(inverse(inverse(X_10))),identity),
    inference(resolve,[$cnf( $equal(double_divide(X_10,identity),inverse(double_divide(identity,inverse(inverse(inverse(X_10)))))) )],[refute_0_472,refute_0_479]) ).

cnf(refute_0_481,plain,
    inverse(X_31) = multiply(inverse(inverse(inverse(X_31))),identity),
    inference(subst,[],[refute_0_480:[bind(X_10,$fot(X_31))]]) ).

cnf(refute_0_482,plain,
    ( inverse(X_31) != multiply(inverse(inverse(inverse(X_31))),identity)
    | multiply(inverse(inverse(inverse(X_31))),identity) = inverse(X_31) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_31))),bind(Y,$fot(multiply(inverse(inverse(inverse(X_31))),identity)))]]) ).

cnf(refute_0_483,plain,
    multiply(inverse(inverse(inverse(X_31))),identity) = inverse(X_31),
    inference(resolve,[$cnf( $equal(inverse(X_31),multiply(inverse(inverse(inverse(X_31))),identity)) )],[refute_0_481,refute_0_482]) ).

cnf(refute_0_484,plain,
    ( multiply(inverse(inverse(inverse(X_31))),identity) != inverse(X_31)
    | identity != double_divide(double_divide(identity,inverse(inverse(inverse(X_31)))),multiply(inverse(inverse(inverse(X_31))),identity))
    | identity = double_divide(double_divide(identity,inverse(inverse(inverse(X_31)))),inverse(X_31)) ),
    introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(double_divide(identity,inverse(inverse(inverse(X_31)))),multiply(inverse(inverse(inverse(X_31))),identity))) ),[1,1],$fot(inverse(X_31))]]) ).

cnf(refute_0_485,plain,
    ( identity != double_divide(double_divide(identity,inverse(inverse(inverse(X_31)))),multiply(inverse(inverse(inverse(X_31))),identity))
    | identity = double_divide(double_divide(identity,inverse(inverse(inverse(X_31)))),inverse(X_31)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(X_31))),identity),inverse(X_31)) )],[refute_0_483,refute_0_484]) ).

cnf(refute_0_486,plain,
    identity = double_divide(double_divide(identity,inverse(inverse(inverse(X_31)))),inverse(X_31)),
    inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(identity,inverse(inverse(inverse(X_31)))),multiply(inverse(inverse(inverse(X_31))),identity))) )],[refute_0_444,refute_0_485]) ).

cnf(refute_0_487,plain,
    identity = double_divide(double_divide(identity,inverse(inverse(inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity))))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity))),
    inference(subst,[],[refute_0_486:[bind(X_31,$fot(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)))]]) ).

cnf(refute_0_488,plain,
    inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)) = X_34,
    inference(subst,[],[refute_0_86:[bind(B,$fot(X_33)),bind(C,$fot(X_34))]]) ).

cnf(refute_0_489,plain,
    ( identity != double_divide(double_divide(identity,inverse(inverse(inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity))))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)))
    | inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)) != X_34
    | identity = double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(double_divide(identity,inverse(inverse(inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity))))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)))) ),[1,0,1,0,0],$fot(X_34)]]) ).

cnf(refute_0_490,plain,
    ( identity != double_divide(double_divide(identity,inverse(inverse(inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity))))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)))
    | identity = double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity))) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)),X_34) )],[refute_0_488,refute_0_489]) ).

cnf(refute_0_491,plain,
    identity = double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity))),
    inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(identity,inverse(inverse(inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity))))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)))) )],[refute_0_487,refute_0_490]) ).

cnf(refute_0_492,plain,
    double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity))) = double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity))))]]) ).

cnf(refute_0_493,plain,
    ( double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity))) != double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)))
    | inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)) != X_34
    | double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity))) = double_divide(double_divide(identity,inverse(inverse(X_34))),X_34) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity))),double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)))) ),[1,1],$fot(X_34)]]) ).

cnf(refute_0_494,plain,
    ( inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)) != X_34
    | double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity))) = double_divide(double_divide(identity,inverse(inverse(X_34))),X_34) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity))),double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)))) )],[refute_0_492,refute_0_493]) ).

cnf(refute_0_495,plain,
    double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity))) = double_divide(double_divide(identity,inverse(inverse(X_34))),X_34),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)),X_34) )],[refute_0_488,refute_0_494]) ).

cnf(refute_0_496,plain,
    ( double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity))) != double_divide(double_divide(identity,inverse(inverse(X_34))),X_34)
    | identity != double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)))
    | identity = double_divide(double_divide(identity,inverse(inverse(X_34))),X_34) ),
    introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)))) ),[1],$fot(double_divide(double_divide(identity,inverse(inverse(X_34))),X_34))]]) ).

cnf(refute_0_497,plain,
    ( identity != double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)))
    | identity = double_divide(double_divide(identity,inverse(inverse(X_34))),X_34) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity))),double_divide(double_divide(identity,inverse(inverse(X_34))),X_34)) )],[refute_0_495,refute_0_496]) ).

cnf(refute_0_498,plain,
    identity = double_divide(double_divide(identity,inverse(inverse(X_34))),X_34),
    inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(identity,inverse(inverse(X_34))),inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)))) )],[refute_0_491,refute_0_497]) ).

cnf(refute_0_499,plain,
    identity = double_divide(double_divide(identity,inverse(inverse(C))),C),
    inference(subst,[],[refute_0_498:[bind(X_34,$fot(C))]]) ).

cnf(refute_0_500,plain,
    ( identity != double_divide(double_divide(identity,inverse(inverse(C))),C)
    | double_divide(double_divide(identity,inverse(inverse(C))),C) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(double_divide(identity,inverse(inverse(C))),C)))]]) ).

cnf(refute_0_501,plain,
    double_divide(double_divide(identity,inverse(inverse(C))),C) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(identity,inverse(inverse(C))),C)) )],[refute_0_499,refute_0_500]) ).

cnf(refute_0_502,plain,
    ( double_divide(double_divide(identity,inverse(inverse(C))),C) != identity
    | inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,double_divide(double_divide(identity,inverse(inverse(C))),C))),identity)) != C
    | inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity)) = C ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,double_divide(double_divide(identity,inverse(inverse(C))),C))),identity)),C) ),[0,0,0,1,1],$fot(identity)]]) ).

cnf(refute_0_503,plain,
    ( inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,double_divide(double_divide(identity,inverse(inverse(C))),C))),identity)) != C
    | inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity)) = C ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(C))),C),identity) )],[refute_0_501,refute_0_502]) ).

cnf(refute_0_504,plain,
    inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity)) = C,
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,double_divide(double_divide(identity,inverse(inverse(C))),C))),identity)),C) )],[refute_0_436,refute_0_503]) ).

cnf(refute_0_505,plain,
    double_divide(C,identity) = inverse(C),
    inference(subst,[],[refute_0_4:[bind(A,$fot(C))]]) ).

cnf(refute_0_506,plain,
    ( double_divide(identity,identity) != inverse(identity)
    | inverse(identity) != identity
    | double_divide(identity,identity) = identity ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(double_divide(identity,identity))),bind(Y,$fot(inverse(identity))),bind(Z,$fot(identity))]]) ).

cnf(refute_0_507,plain,
    ( inverse(identity) != identity
    | double_divide(identity,identity) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_166,refute_0_506]) ).

cnf(refute_0_508,plain,
    double_divide(identity,identity) = identity,
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_428,refute_0_507]) ).

cnf(refute_0_509,plain,
    double_divide(C,double_divide(identity,identity)) = double_divide(C,double_divide(identity,identity)),
    introduced(tautology,[refl,[$fot(double_divide(C,double_divide(identity,identity)))]]) ).

cnf(refute_0_510,plain,
    ( double_divide(C,double_divide(identity,identity)) != double_divide(C,double_divide(identity,identity))
    | double_divide(identity,identity) != identity
    | double_divide(C,double_divide(identity,identity)) = double_divide(C,identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(C,double_divide(identity,identity)),double_divide(C,double_divide(identity,identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_511,plain,
    ( double_divide(identity,identity) != identity
    | double_divide(C,double_divide(identity,identity)) = double_divide(C,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(C,double_divide(identity,identity)),double_divide(C,double_divide(identity,identity))) )],[refute_0_509,refute_0_510]) ).

cnf(refute_0_512,plain,
    double_divide(C,double_divide(identity,identity)) = double_divide(C,identity),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),identity) )],[refute_0_508,refute_0_511]) ).

cnf(refute_0_513,plain,
    inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)) = multiply(inverse(inverse(inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)))),identity),
    inference(subst,[],[refute_0_480:[bind(X_10,$fot(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)))]]) ).

cnf(refute_0_514,plain,
    ( inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)) != X_34
    | inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)) != multiply(inverse(inverse(inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)))),identity)
    | inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)) = multiply(inverse(inverse(X_34)),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)),multiply(inverse(inverse(inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)))),identity)) ),[1,0,0,0],$fot(X_34)]]) ).

cnf(refute_0_515,plain,
    ( inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)) != multiply(inverse(inverse(inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)))),identity)
    | inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)) = multiply(inverse(inverse(X_34)),identity) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)),X_34) )],[refute_0_488,refute_0_514]) ).

cnf(refute_0_516,plain,
    inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)) = multiply(inverse(inverse(X_34)),identity),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)),multiply(inverse(inverse(inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)))),identity)) )],[refute_0_513,refute_0_515]) ).

cnf(refute_0_517,plain,
    ( inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)) != X_34
    | inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)) != multiply(inverse(inverse(X_34)),identity)
    | X_34 = multiply(inverse(inverse(X_34)),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)),multiply(inverse(inverse(X_34)),identity)) ),[0],$fot(X_34)]]) ).

cnf(refute_0_518,plain,
    ( inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)) != multiply(inverse(inverse(X_34)),identity)
    | X_34 = multiply(inverse(inverse(X_34)),identity) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)),X_34) )],[refute_0_488,refute_0_517]) ).

cnf(refute_0_519,plain,
    X_34 = multiply(inverse(inverse(X_34)),identity),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(X_33),double_divide(identity,double_divide(X_33,X_34))),identity)),multiply(inverse(inverse(X_34)),identity)) )],[refute_0_516,refute_0_518]) ).

cnf(refute_0_520,plain,
    ( X_34 != multiply(inverse(inverse(X_34)),identity)
    | multiply(inverse(inverse(X_34)),identity) = X_34 ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(X_34)),bind(Y,$fot(multiply(inverse(inverse(X_34)),identity)))]]) ).

cnf(refute_0_521,plain,
    multiply(inverse(inverse(X_34)),identity) = X_34,
    inference(resolve,[$cnf( $equal(X_34,multiply(inverse(inverse(X_34)),identity)) )],[refute_0_519,refute_0_520]) ).

cnf(refute_0_522,plain,
    multiply(inverse(inverse(C)),identity) = C,
    inference(subst,[],[refute_0_521:[bind(X_34,$fot(C))]]) ).

cnf(refute_0_523,plain,
    inverse(double_divide(identity,inverse(inverse(C)))) = multiply(inverse(inverse(C)),identity),
    inference(subst,[],[refute_0_52:[bind(A,$fot(inverse(inverse(C)))),bind(B,$fot(identity))]]) ).

cnf(refute_0_524,plain,
    ( multiply(inverse(inverse(C)),identity) != C
    | inverse(double_divide(identity,inverse(inverse(C)))) != multiply(inverse(inverse(C)),identity)
    | inverse(double_divide(identity,inverse(inverse(C)))) = C ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(inverse(double_divide(identity,inverse(inverse(C)))))),bind(Y,$fot(multiply(inverse(inverse(C)),identity))),bind(Z,$fot(C))]]) ).

cnf(refute_0_525,plain,
    ( multiply(inverse(inverse(C)),identity) != C
    | inverse(double_divide(identity,inverse(inverse(C)))) = C ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(inverse(C)))),multiply(inverse(inverse(C)),identity)) )],[refute_0_523,refute_0_524]) ).

cnf(refute_0_526,plain,
    inverse(double_divide(identity,inverse(inverse(C)))) = C,
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(C)),identity),C) )],[refute_0_522,refute_0_525]) ).

cnf(refute_0_527,plain,
    double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)) = double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),
    introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)))]]) ).

cnf(refute_0_528,plain,
    ( double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)) != double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity))
    | inverse(double_divide(identity,inverse(inverse(C)))) != C
    | double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)) = double_divide(C,double_divide(identity,identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity))) ),[1,0],$fot(C)]]) ).

cnf(refute_0_529,plain,
    ( inverse(double_divide(identity,inverse(inverse(C)))) != C
    | double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)) = double_divide(C,double_divide(identity,identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity))) )],[refute_0_527,refute_0_528]) ).

cnf(refute_0_530,plain,
    double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)) = double_divide(C,double_divide(identity,identity)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(inverse(C)))),C) )],[refute_0_526,refute_0_529]) ).

cnf(refute_0_531,plain,
    ( double_divide(C,double_divide(identity,identity)) != double_divide(C,identity)
    | double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)) != double_divide(C,double_divide(identity,identity))
    | double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)) = double_divide(C,identity) ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)))),bind(Y,$fot(double_divide(C,double_divide(identity,identity)))),bind(Z,$fot(double_divide(C,identity)))]]) ).

cnf(refute_0_532,plain,
    ( double_divide(C,double_divide(identity,identity)) != double_divide(C,identity)
    | double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)) = double_divide(C,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),double_divide(C,double_divide(identity,identity))) )],[refute_0_530,refute_0_531]) ).

cnf(refute_0_533,plain,
    double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)) = double_divide(C,identity),
    inference(resolve,[$cnf( $equal(double_divide(C,double_divide(identity,identity)),double_divide(C,identity)) )],[refute_0_512,refute_0_532]) ).

cnf(refute_0_534,plain,
    ( double_divide(C,identity) != inverse(C)
    | double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)) != double_divide(C,identity)
    | double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)) = inverse(C) ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)))),bind(Y,$fot(double_divide(C,identity))),bind(Z,$fot(inverse(C)))]]) ).

cnf(refute_0_535,plain,
    ( double_divide(C,identity) != inverse(C)
    | double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)) = inverse(C) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),double_divide(C,identity)) )],[refute_0_533,refute_0_534]) ).

cnf(refute_0_536,plain,
    double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)) = inverse(C),
    inference(resolve,[$cnf( $equal(double_divide(C,identity),inverse(C)) )],[refute_0_505,refute_0_535]) ).

cnf(refute_0_537,plain,
    multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity) = multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity),
    introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity))]]) ).

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

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

cnf(refute_0_540,plain,
    multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity) = multiply(inverse(C),identity),
    inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),inverse(C)) )],[refute_0_536,refute_0_539]) ).

cnf(refute_0_541,plain,
    inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity)) = inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity)),
    introduced(tautology,[refl,[$fot(inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity)))]]) ).

cnf(refute_0_542,plain,
    ( multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity) != multiply(inverse(C),identity)
    | inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity)) != inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity))
    | inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity)) = inverse(multiply(inverse(C),identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity)),inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity))) ),[1,0],$fot(multiply(inverse(C),identity))]]) ).

cnf(refute_0_543,plain,
    ( multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity) != multiply(inverse(C),identity)
    | inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity)) = inverse(multiply(inverse(C),identity)) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity)),inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity))) )],[refute_0_541,refute_0_542]) ).

cnf(refute_0_544,plain,
    inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity)) = inverse(multiply(inverse(C),identity)),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity),multiply(inverse(C),identity)) )],[refute_0_540,refute_0_543]) ).

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

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

cnf(refute_0_547,plain,
    inverse(multiply(inverse(C),identity)) = C,
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(double_divide(identity,inverse(inverse(C)))),double_divide(identity,identity)),identity)),C) )],[refute_0_504,refute_0_546]) ).

cnf(refute_0_548,plain,
    inverse(multiply(inverse(multiply(inverse(X_38),identity)),identity)) = multiply(inverse(X_38),identity),
    inference(subst,[],[refute_0_547:[bind(C,$fot(multiply(inverse(X_38),identity)))]]) ).

cnf(refute_0_549,plain,
    inverse(multiply(inverse(X_38),identity)) = X_38,
    inference(subst,[],[refute_0_547:[bind(C,$fot(X_38))]]) ).

cnf(refute_0_550,plain,
    ( inverse(multiply(inverse(X_38),identity)) != X_38
    | inverse(multiply(inverse(multiply(inverse(X_38),identity)),identity)) != multiply(inverse(X_38),identity)
    | inverse(multiply(X_38,identity)) = multiply(inverse(X_38),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(X_38),identity)),identity)),multiply(inverse(X_38),identity)) ),[0,0,0],$fot(X_38)]]) ).

cnf(refute_0_551,plain,
    ( inverse(multiply(inverse(multiply(inverse(X_38),identity)),identity)) != multiply(inverse(X_38),identity)
    | inverse(multiply(X_38,identity)) = multiply(inverse(X_38),identity) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_38),identity)),X_38) )],[refute_0_549,refute_0_550]) ).

cnf(refute_0_552,plain,
    inverse(multiply(X_38,identity)) = multiply(inverse(X_38),identity),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(X_38),identity)),identity)),multiply(inverse(X_38),identity)) )],[refute_0_548,refute_0_551]) ).

cnf(refute_0_553,plain,
    ( inverse(multiply(X_38,identity)) != multiply(inverse(X_38),identity)
    | multiply(inverse(X_38),identity) = inverse(multiply(X_38,identity)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(multiply(X_38,identity)))),bind(Y,$fot(multiply(inverse(X_38),identity)))]]) ).

cnf(refute_0_554,plain,
    multiply(inverse(X_38),identity) = inverse(multiply(X_38,identity)),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_38,identity)),multiply(inverse(X_38),identity)) )],[refute_0_552,refute_0_553]) ).

cnf(refute_0_555,plain,
    multiply(inverse(C),identity) = inverse(multiply(C,identity)),
    inference(subst,[],[refute_0_554:[bind(X_38,$fot(C))]]) ).

cnf(refute_0_556,plain,
    inverse(multiply(inverse(C),identity)) = inverse(multiply(inverse(C),identity)),
    introduced(tautology,[refl,[$fot(inverse(multiply(inverse(C),identity)))]]) ).

cnf(refute_0_557,plain,
    ( multiply(inverse(C),identity) != inverse(multiply(C,identity))
    | inverse(multiply(inverse(C),identity)) != inverse(multiply(inverse(C),identity))
    | inverse(multiply(inverse(C),identity)) = inverse(inverse(multiply(C,identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(C),identity)),inverse(multiply(inverse(C),identity))) ),[1,0],$fot(inverse(multiply(C,identity)))]]) ).

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

cnf(refute_0_559,plain,
    inverse(multiply(inverse(C),identity)) = inverse(inverse(multiply(C,identity))),
    inference(resolve,[$cnf( $equal(multiply(inverse(C),identity),inverse(multiply(C,identity))) )],[refute_0_555,refute_0_558]) ).

cnf(refute_0_560,plain,
    ( inverse(multiply(inverse(C),identity)) != C
    | inverse(multiply(inverse(C),identity)) != inverse(inverse(multiply(C,identity)))
    | inverse(inverse(multiply(C,identity))) = C ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(C),identity)),C) ),[0],$fot(inverse(inverse(multiply(C,identity))))]]) ).

cnf(refute_0_561,plain,
    ( inverse(multiply(inverse(C),identity)) != C
    | inverse(inverse(multiply(C,identity))) = C ),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(C),identity)),inverse(inverse(multiply(C,identity)))) )],[refute_0_559,refute_0_560]) ).

cnf(refute_0_562,plain,
    inverse(inverse(multiply(C,identity))) = C,
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(C),identity)),C) )],[refute_0_547,refute_0_561]) ).

cnf(refute_0_563,plain,
    inverse(inverse(multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity))) = double_divide(identity,double_divide(identity,double_divide(identity,X_43))),
    inference(subst,[],[refute_0_562:[bind(C,$fot(double_divide(identity,double_divide(identity,double_divide(identity,X_43)))))]]) ).

cnf(refute_0_564,plain,
    ( multiply(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)) != inverse(inverse(multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)))
    | inverse(inverse(multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity))) != double_divide(identity,double_divide(identity,double_divide(identity,X_43)))
    | multiply(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)) = double_divide(identity,double_divide(identity,double_divide(identity,X_43))) ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(multiply(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)))),bind(Y,$fot(inverse(inverse(multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity))))),bind(Z,$fot(double_divide(identity,double_divide(identity,double_divide(identity,X_43)))))]]) ).

cnf(refute_0_565,plain,
    ( inverse(inverse(multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity))) != double_divide(identity,double_divide(identity,double_divide(identity,X_43)))
    | multiply(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)) = double_divide(identity,double_divide(identity,double_divide(identity,X_43))) ),
    inference(resolve,[$cnf( $equal(multiply(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)),inverse(inverse(multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)))) )],[refute_0_21,refute_0_564]) ).

cnf(refute_0_566,plain,
    multiply(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)) = double_divide(identity,double_divide(identity,double_divide(identity,X_43))),
    inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity))),double_divide(identity,double_divide(identity,double_divide(identity,X_43)))) )],[refute_0_563,refute_0_565]) ).

cnf(refute_0_567,plain,
    ( multiply(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)) != double_divide(identity,double_divide(identity,double_divide(identity,X_43)))
    | multiply(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)) != inverse(X_43)
    | double_divide(identity,double_divide(identity,double_divide(identity,X_43))) = inverse(X_43) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)),inverse(X_43)) ),[0],$fot(double_divide(identity,double_divide(identity,double_divide(identity,X_43))))]]) ).

cnf(refute_0_568,plain,
    ( multiply(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)) != inverse(X_43)
    | double_divide(identity,double_divide(identity,double_divide(identity,X_43))) = inverse(X_43) ),
    inference(resolve,[$cnf( $equal(multiply(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)),double_divide(identity,double_divide(identity,double_divide(identity,X_43)))) )],[refute_0_566,refute_0_567]) ).

cnf(refute_0_569,plain,
    double_divide(identity,double_divide(identity,double_divide(identity,X_43))) = inverse(X_43),
    inference(resolve,[$cnf( $equal(multiply(identity,multiply(double_divide(identity,double_divide(identity,double_divide(identity,X_43))),identity)),inverse(X_43)) )],[refute_0_435,refute_0_568]) ).

cnf(refute_0_570,plain,
    double_divide(identity,double_divide(identity,double_divide(identity,X_49))) = inverse(X_49),
    inference(subst,[],[refute_0_569:[bind(X_43,$fot(X_49))]]) ).

cnf(refute_0_571,plain,
    ( multiply(double_divide(identity,double_divide(identity,X_49)),identity) != inverse(double_divide(identity,double_divide(identity,double_divide(identity,X_49))))
    | double_divide(identity,double_divide(identity,double_divide(identity,X_49))) != inverse(X_49)
    | multiply(double_divide(identity,double_divide(identity,X_49)),identity) = inverse(inverse(X_49)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,double_divide(identity,X_49)),identity),inverse(double_divide(identity,double_divide(identity,double_divide(identity,X_49))))) ),[1,0],$fot(inverse(X_49))]]) ).

cnf(refute_0_572,plain,
    ( multiply(double_divide(identity,double_divide(identity,X_49)),identity) != inverse(double_divide(identity,double_divide(identity,double_divide(identity,X_49))))
    | multiply(double_divide(identity,double_divide(identity,X_49)),identity) = inverse(inverse(X_49)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(identity,X_49))),inverse(X_49)) )],[refute_0_570,refute_0_571]) ).

cnf(refute_0_573,plain,
    multiply(double_divide(identity,double_divide(identity,X_49)),identity) = inverse(inverse(X_49)),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(identity,X_49)),identity),inverse(double_divide(identity,double_divide(identity,double_divide(identity,X_49))))) )],[refute_0_20,refute_0_572]) ).

cnf(refute_0_574,plain,
    inverse(inverse(multiply(X_49,identity))) = X_49,
    inference(subst,[],[refute_0_562:[bind(C,$fot(X_49))]]) ).

cnf(refute_0_575,plain,
    double_divide(identity,double_divide(identity,double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))))) = inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))),
    inference(subst,[],[refute_0_569:[bind(X_43,$fot(multiply(X_11,double_divide(identity,inverse(inverse(identity))))))]]) ).

cnf(refute_0_576,plain,
    double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))) = inverse(X_11),
    inference(subst,[],[refute_0_118:[bind(X_10,$fot(identity))]]) ).

cnf(refute_0_577,plain,
    ( double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))) != inverse(X_11)
    | double_divide(identity,double_divide(identity,double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))))) != inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))
    | double_divide(identity,double_divide(identity,inverse(X_11))) = inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))))),inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))) ),[0,1,1],$fot(inverse(X_11))]]) ).

cnf(refute_0_578,plain,
    ( double_divide(identity,double_divide(identity,double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))))) != inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))
    | double_divide(identity,double_divide(identity,inverse(X_11))) = inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))),inverse(X_11)) )],[refute_0_576,refute_0_577]) ).

cnf(refute_0_579,plain,
    double_divide(identity,double_divide(identity,inverse(X_11))) = inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))))),inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))) )],[refute_0_575,refute_0_578]) ).

cnf(refute_0_580,plain,
    double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X_49))))) = inverse(double_divide(identity,double_divide(identity,X_49))),
    inference(subst,[],[refute_0_569:[bind(X_43,$fot(double_divide(identity,double_divide(identity,X_49))))]]) ).

cnf(refute_0_581,plain,
    ( double_divide(identity,double_divide(identity,double_divide(identity,X_49))) != inverse(X_49)
    | double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X_49))))) != inverse(double_divide(identity,double_divide(identity,X_49)))
    | double_divide(identity,double_divide(identity,inverse(X_49))) = inverse(double_divide(identity,double_divide(identity,X_49))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X_49))))),inverse(double_divide(identity,double_divide(identity,X_49)))) ),[0,1,1],$fot(inverse(X_49))]]) ).

cnf(refute_0_582,plain,
    ( double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X_49))))) != inverse(double_divide(identity,double_divide(identity,X_49)))
    | double_divide(identity,double_divide(identity,inverse(X_49))) = inverse(double_divide(identity,double_divide(identity,X_49))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(identity,X_49))),inverse(X_49)) )],[refute_0_570,refute_0_581]) ).

cnf(refute_0_583,plain,
    double_divide(identity,double_divide(identity,inverse(X_49))) = inverse(double_divide(identity,double_divide(identity,X_49))),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X_49))))),inverse(double_divide(identity,double_divide(identity,X_49)))) )],[refute_0_580,refute_0_582]) ).

cnf(refute_0_584,plain,
    inverse(double_divide(identity,double_divide(identity,X_49))) = multiply(double_divide(identity,X_49),identity),
    inference(subst,[],[refute_0_52:[bind(A,$fot(double_divide(identity,X_49))),bind(B,$fot(identity))]]) ).

cnf(refute_0_585,plain,
    ( double_divide(identity,double_divide(identity,inverse(X_49))) != inverse(double_divide(identity,double_divide(identity,X_49)))
    | inverse(double_divide(identity,double_divide(identity,X_49))) != multiply(double_divide(identity,X_49),identity)
    | double_divide(identity,double_divide(identity,inverse(X_49))) = multiply(double_divide(identity,X_49),identity) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(identity,double_divide(identity,inverse(X_49))),multiply(double_divide(identity,X_49),identity)) ),[0],$fot(inverse(double_divide(identity,double_divide(identity,X_49))))]]) ).

cnf(refute_0_586,plain,
    ( double_divide(identity,double_divide(identity,inverse(X_49))) != inverse(double_divide(identity,double_divide(identity,X_49)))
    | double_divide(identity,double_divide(identity,inverse(X_49))) = multiply(double_divide(identity,X_49),identity) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(identity,X_49))),multiply(double_divide(identity,X_49),identity)) )],[refute_0_584,refute_0_585]) ).

cnf(refute_0_587,plain,
    double_divide(identity,double_divide(identity,inverse(X_49))) = multiply(double_divide(identity,X_49),identity),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(X_49))),inverse(double_divide(identity,double_divide(identity,X_49)))) )],[refute_0_583,refute_0_586]) ).

cnf(refute_0_588,plain,
    double_divide(identity,double_divide(identity,inverse(X_11))) = multiply(double_divide(identity,X_11),identity),
    inference(subst,[],[refute_0_587:[bind(X_49,$fot(X_11))]]) ).

cnf(refute_0_589,plain,
    ( double_divide(identity,double_divide(identity,inverse(X_11))) != multiply(double_divide(identity,X_11),identity)
    | double_divide(identity,double_divide(identity,inverse(X_11))) != inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))
    | multiply(double_divide(identity,X_11),identity) = inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(X_11))),inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))) ),[0],$fot(multiply(double_divide(identity,X_11),identity))]]) ).

cnf(refute_0_590,plain,
    ( double_divide(identity,double_divide(identity,inverse(X_11))) != inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))
    | multiply(double_divide(identity,X_11),identity) = inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(X_11))),multiply(double_divide(identity,X_11),identity)) )],[refute_0_588,refute_0_589]) ).

cnf(refute_0_591,plain,
    ( multiply(identity,identity) != inverse(inverse(identity))
    | inverse(inverse(identity)) != identity
    | multiply(identity,identity) = identity ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(multiply(identity,identity))),bind(Y,$fot(inverse(inverse(identity)))),bind(Z,$fot(identity))]]) ).

cnf(refute_0_592,plain,
    ( inverse(inverse(identity)) != identity
    | multiply(identity,identity) = identity ),
    inference(resolve,[$cnf( $equal(multiply(identity,identity),inverse(inverse(identity))) )],[refute_0_385,refute_0_591]) ).

cnf(refute_0_593,plain,
    multiply(identity,identity) = identity,
    inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_421,refute_0_592]) ).

cnf(refute_0_594,plain,
    inverse(multiply(identity,identity)) = inverse(multiply(identity,identity)),
    introduced(tautology,[refl,[$fot(inverse(multiply(identity,identity)))]]) ).

cnf(refute_0_595,plain,
    ( multiply(identity,identity) != identity
    | inverse(multiply(identity,identity)) != inverse(multiply(identity,identity))
    | inverse(multiply(identity,identity)) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(identity,identity)),inverse(multiply(identity,identity))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_596,plain,
    ( multiply(identity,identity) != identity
    | inverse(multiply(identity,identity)) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(identity,identity)),inverse(multiply(identity,identity))) )],[refute_0_594,refute_0_595]) ).

cnf(refute_0_597,plain,
    inverse(multiply(identity,identity)) = inverse(identity),
    inference(resolve,[$cnf( $equal(multiply(identity,identity),identity) )],[refute_0_593,refute_0_596]) ).

cnf(refute_0_598,plain,
    ( inverse(multiply(identity,identity)) != inverse(identity)
    | inverse(identity) != identity
    | inverse(multiply(identity,identity)) = identity ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(inverse(multiply(identity,identity)))),bind(Y,$fot(inverse(identity))),bind(Z,$fot(identity))]]) ).

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

cnf(refute_0_600,plain,
    inverse(multiply(identity,identity)) = identity,
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_428,refute_0_599]) ).

cnf(refute_0_601,plain,
    multiply(inverse(identity),identity) = inverse(multiply(identity,identity)),
    inference(subst,[],[refute_0_554:[bind(X_38,$fot(identity))]]) ).

cnf(refute_0_602,plain,
    double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X_49)))) = inverse(double_divide(identity,X_49)),
    inference(subst,[],[refute_0_569:[bind(X_43,$fot(double_divide(identity,X_49)))]]) ).

cnf(refute_0_603,plain,
    ( double_divide(identity,double_divide(identity,double_divide(identity,X_49))) != inverse(X_49)
    | double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X_49)))) != inverse(double_divide(identity,X_49))
    | double_divide(identity,inverse(X_49)) = inverse(double_divide(identity,X_49)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X_49)))),inverse(double_divide(identity,X_49))) ),[0,1],$fot(inverse(X_49))]]) ).

cnf(refute_0_604,plain,
    ( double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X_49)))) != inverse(double_divide(identity,X_49))
    | double_divide(identity,inverse(X_49)) = inverse(double_divide(identity,X_49)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(identity,X_49))),inverse(X_49)) )],[refute_0_570,refute_0_603]) ).

cnf(refute_0_605,plain,
    double_divide(identity,inverse(X_49)) = inverse(double_divide(identity,X_49)),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X_49)))),inverse(double_divide(identity,X_49))) )],[refute_0_602,refute_0_604]) ).

cnf(refute_0_606,plain,
    inverse(double_divide(identity,X_49)) = multiply(X_49,identity),
    inference(subst,[],[refute_0_52:[bind(A,$fot(X_49)),bind(B,$fot(identity))]]) ).

cnf(refute_0_607,plain,
    ( double_divide(identity,inverse(X_49)) != inverse(double_divide(identity,X_49))
    | inverse(double_divide(identity,X_49)) != multiply(X_49,identity)
    | double_divide(identity,inverse(X_49)) = multiply(X_49,identity) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(identity,inverse(X_49)),multiply(X_49,identity)) ),[0],$fot(inverse(double_divide(identity,X_49)))]]) ).

cnf(refute_0_608,plain,
    ( double_divide(identity,inverse(X_49)) != inverse(double_divide(identity,X_49))
    | double_divide(identity,inverse(X_49)) = multiply(X_49,identity) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_49)),multiply(X_49,identity)) )],[refute_0_606,refute_0_607]) ).

cnf(refute_0_609,plain,
    double_divide(identity,inverse(X_49)) = multiply(X_49,identity),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_49)),inverse(double_divide(identity,X_49))) )],[refute_0_605,refute_0_608]) ).

cnf(refute_0_610,plain,
    double_divide(identity,inverse(inverse(identity))) = multiply(inverse(identity),identity),
    inference(subst,[],[refute_0_609:[bind(X_49,$fot(inverse(identity)))]]) ).

cnf(refute_0_611,plain,
    ( multiply(inverse(identity),identity) != inverse(multiply(identity,identity))
    | double_divide(identity,inverse(inverse(identity))) != multiply(inverse(identity),identity)
    | double_divide(identity,inverse(inverse(identity))) = inverse(multiply(identity,identity)) ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(double_divide(identity,inverse(inverse(identity))))),bind(Y,$fot(multiply(inverse(identity),identity))),bind(Z,$fot(inverse(multiply(identity,identity))))]]) ).

cnf(refute_0_612,plain,
    ( multiply(inverse(identity),identity) != inverse(multiply(identity,identity))
    | double_divide(identity,inverse(inverse(identity))) = inverse(multiply(identity,identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(identity))),multiply(inverse(identity),identity)) )],[refute_0_610,refute_0_611]) ).

cnf(refute_0_613,plain,
    double_divide(identity,inverse(inverse(identity))) = inverse(multiply(identity,identity)),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),identity),inverse(multiply(identity,identity))) )],[refute_0_601,refute_0_612]) ).

cnf(refute_0_614,plain,
    ( double_divide(identity,inverse(inverse(identity))) != inverse(multiply(identity,identity))
    | inverse(multiply(identity,identity)) != identity
    | double_divide(identity,inverse(inverse(identity))) = identity ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(double_divide(identity,inverse(inverse(identity))))),bind(Y,$fot(inverse(multiply(identity,identity)))),bind(Z,$fot(identity))]]) ).

cnf(refute_0_615,plain,
    ( inverse(multiply(identity,identity)) != identity
    | double_divide(identity,inverse(inverse(identity))) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(identity))),inverse(multiply(identity,identity))) )],[refute_0_613,refute_0_614]) ).

cnf(refute_0_616,plain,
    double_divide(identity,inverse(inverse(identity))) = identity,
    inference(resolve,[$cnf( $equal(inverse(multiply(identity,identity)),identity) )],[refute_0_600,refute_0_615]) ).

cnf(refute_0_617,plain,
    multiply(X_11,double_divide(identity,inverse(inverse(identity)))) = multiply(X_11,double_divide(identity,inverse(inverse(identity)))),
    introduced(tautology,[refl,[$fot(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))]]) ).

cnf(refute_0_618,plain,
    ( multiply(X_11,double_divide(identity,inverse(inverse(identity)))) != multiply(X_11,double_divide(identity,inverse(inverse(identity))))
    | double_divide(identity,inverse(inverse(identity))) != identity
    | multiply(X_11,double_divide(identity,inverse(inverse(identity)))) = multiply(X_11,identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_11,double_divide(identity,inverse(inverse(identity)))),multiply(X_11,double_divide(identity,inverse(inverse(identity))))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_619,plain,
    ( double_divide(identity,inverse(inverse(identity))) != identity
    | multiply(X_11,double_divide(identity,inverse(inverse(identity)))) = multiply(X_11,identity) ),
    inference(resolve,[$cnf( $equal(multiply(X_11,double_divide(identity,inverse(inverse(identity)))),multiply(X_11,double_divide(identity,inverse(inverse(identity))))) )],[refute_0_617,refute_0_618]) ).

cnf(refute_0_620,plain,
    multiply(X_11,double_divide(identity,inverse(inverse(identity)))) = multiply(X_11,identity),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(identity))),identity) )],[refute_0_616,refute_0_619]) ).

cnf(refute_0_621,plain,
    inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))) = inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))),
    introduced(tautology,[refl,[$fot(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))))]]) ).

cnf(refute_0_622,plain,
    ( multiply(X_11,double_divide(identity,inverse(inverse(identity)))) != multiply(X_11,identity)
    | inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))) != inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))
    | inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))) = inverse(multiply(X_11,identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))),inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))) ),[1,0],$fot(multiply(X_11,identity))]]) ).

cnf(refute_0_623,plain,
    ( multiply(X_11,double_divide(identity,inverse(inverse(identity)))) != multiply(X_11,identity)
    | inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))) = inverse(multiply(X_11,identity)) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))),inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))) )],[refute_0_621,refute_0_622]) ).

cnf(refute_0_624,plain,
    inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))) = inverse(multiply(X_11,identity)),
    inference(resolve,[$cnf( $equal(multiply(X_11,double_divide(identity,inverse(inverse(identity)))),multiply(X_11,identity)) )],[refute_0_620,refute_0_623]) ).

cnf(refute_0_625,plain,
    ( multiply(double_divide(identity,X_11),identity) != inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))
    | inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))) != inverse(multiply(X_11,identity))
    | multiply(double_divide(identity,X_11),identity) = inverse(multiply(X_11,identity)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(identity,X_11),identity),inverse(multiply(X_11,identity))) ),[0],$fot(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))))]]) ).

cnf(refute_0_626,plain,
    ( multiply(double_divide(identity,X_11),identity) != inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))
    | multiply(double_divide(identity,X_11),identity) = inverse(multiply(X_11,identity)) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))),inverse(multiply(X_11,identity))) )],[refute_0_624,refute_0_625]) ).

cnf(refute_0_627,plain,
    ( double_divide(identity,double_divide(identity,inverse(X_11))) != inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))
    | multiply(double_divide(identity,X_11),identity) = inverse(multiply(X_11,identity)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_11),identity),inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))) )],[refute_0_590,refute_0_626]) ).

cnf(refute_0_628,plain,
    multiply(double_divide(identity,X_11),identity) = inverse(multiply(X_11,identity)),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(X_11))),inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))) )],[refute_0_579,refute_0_627]) ).

cnf(refute_0_629,plain,
    multiply(double_divide(identity,X_49),identity) = inverse(multiply(X_49,identity)),
    inference(subst,[],[refute_0_628:[bind(X_11,$fot(X_49))]]) ).

cnf(refute_0_630,plain,
    inverse(multiply(double_divide(identity,X_49),identity)) = inverse(multiply(double_divide(identity,X_49),identity)),
    introduced(tautology,[refl,[$fot(inverse(multiply(double_divide(identity,X_49),identity)))]]) ).

cnf(refute_0_631,plain,
    ( multiply(double_divide(identity,X_49),identity) != inverse(multiply(X_49,identity))
    | inverse(multiply(double_divide(identity,X_49),identity)) != inverse(multiply(double_divide(identity,X_49),identity))
    | inverse(multiply(double_divide(identity,X_49),identity)) = inverse(inverse(multiply(X_49,identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(identity,X_49),identity)),inverse(multiply(double_divide(identity,X_49),identity))) ),[1,0],$fot(inverse(multiply(X_49,identity)))]]) ).

cnf(refute_0_632,plain,
    ( multiply(double_divide(identity,X_49),identity) != inverse(multiply(X_49,identity))
    | inverse(multiply(double_divide(identity,X_49),identity)) = inverse(inverse(multiply(X_49,identity))) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,X_49),identity)),inverse(multiply(double_divide(identity,X_49),identity))) )],[refute_0_630,refute_0_631]) ).

cnf(refute_0_633,plain,
    inverse(multiply(double_divide(identity,X_49),identity)) = inverse(inverse(multiply(X_49,identity))),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_49),identity),inverse(multiply(X_49,identity))) )],[refute_0_629,refute_0_632]) ).

cnf(refute_0_634,plain,
    ( inverse(multiply(double_divide(identity,X_49),identity)) != inverse(inverse(multiply(X_49,identity)))
    | inverse(inverse(multiply(X_49,identity))) != X_49
    | inverse(multiply(double_divide(identity,X_49),identity)) = X_49 ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(inverse(multiply(double_divide(identity,X_49),identity)))),bind(Y,$fot(inverse(inverse(multiply(X_49,identity))))),bind(Z,$fot(X_49))]]) ).

cnf(refute_0_635,plain,
    ( inverse(inverse(multiply(X_49,identity))) != X_49
    | inverse(multiply(double_divide(identity,X_49),identity)) = X_49 ),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,X_49),identity)),inverse(inverse(multiply(X_49,identity)))) )],[refute_0_633,refute_0_634]) ).

cnf(refute_0_636,plain,
    inverse(multiply(double_divide(identity,X_49),identity)) = X_49,
    inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_49,identity))),X_49) )],[refute_0_574,refute_0_635]) ).

cnf(refute_0_637,plain,
    multiply(double_divide(identity,double_divide(identity,X_49)),identity) = inverse(multiply(double_divide(identity,X_49),identity)),
    inference(subst,[],[refute_0_628:[bind(X_11,$fot(double_divide(identity,X_49)))]]) ).

cnf(refute_0_638,plain,
    ( multiply(double_divide(identity,double_divide(identity,X_49)),identity) != inverse(multiply(double_divide(identity,X_49),identity))
    | inverse(multiply(double_divide(identity,X_49),identity)) != X_49
    | multiply(double_divide(identity,double_divide(identity,X_49)),identity) = X_49 ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(multiply(double_divide(identity,double_divide(identity,X_49)),identity))),bind(Y,$fot(inverse(multiply(double_divide(identity,X_49),identity)))),bind(Z,$fot(X_49))]]) ).

cnf(refute_0_639,plain,
    ( inverse(multiply(double_divide(identity,X_49),identity)) != X_49
    | multiply(double_divide(identity,double_divide(identity,X_49)),identity) = X_49 ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(identity,X_49)),identity),inverse(multiply(double_divide(identity,X_49),identity))) )],[refute_0_637,refute_0_638]) ).

cnf(refute_0_640,plain,
    multiply(double_divide(identity,double_divide(identity,X_49)),identity) = X_49,
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,X_49),identity)),X_49) )],[refute_0_636,refute_0_639]) ).

cnf(refute_0_641,plain,
    ( multiply(double_divide(identity,double_divide(identity,X_49)),identity) != X_49
    | multiply(double_divide(identity,double_divide(identity,X_49)),identity) != inverse(inverse(X_49))
    | X_49 = inverse(inverse(X_49)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,double_divide(identity,X_49)),identity),inverse(inverse(X_49))) ),[0],$fot(X_49)]]) ).

cnf(refute_0_642,plain,
    ( multiply(double_divide(identity,double_divide(identity,X_49)),identity) != inverse(inverse(X_49))
    | X_49 = inverse(inverse(X_49)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(identity,X_49)),identity),X_49) )],[refute_0_640,refute_0_641]) ).

cnf(refute_0_643,plain,
    X_49 = inverse(inverse(X_49)),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(identity,X_49)),identity),inverse(inverse(X_49))) )],[refute_0_573,refute_0_642]) ).

cnf(refute_0_644,plain,
    ( X_49 != inverse(inverse(X_49))
    | inverse(inverse(X_49)) = X_49 ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(X_49)),bind(Y,$fot(inverse(inverse(X_49))))]]) ).

cnf(refute_0_645,plain,
    inverse(inverse(X_49)) = X_49,
    inference(resolve,[$cnf( $equal(X_49,inverse(inverse(X_49))) )],[refute_0_643,refute_0_644]) ).

cnf(refute_0_646,plain,
    inverse(inverse(a2)) = a2,
    inference(subst,[],[refute_0_645:[bind(X_49,$fot(a2))]]) ).

cnf(refute_0_647,plain,
    ( a2 != a2
    | inverse(inverse(a2)) != a2
    | inverse(inverse(a2)) = a2 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(a2)),a2) ),[0,0,0],$fot(a2)]]) ).

cnf(refute_0_648,plain,
    ( a2 != a2
    | inverse(inverse(a2)) = a2 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(a2)),a2) )],[refute_0_646,refute_0_647]) ).

cnf(refute_0_649,plain,
    a2 != a2,
    inference(resolve,[$cnf( $equal(inverse(inverse(a2)),a2) )],[refute_0_648,refute_0_19]) ).

cnf(refute_0_650,plain,
    a2 = a2,
    introduced(tautology,[refl,[$fot(a2)]]) ).

cnf(refute_0_651,plain,
    $false,
    inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_650,refute_0_649]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP488-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.14/0.34  % Computer : n029.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jun 13 08:45:40 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.44  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.44  
% 0.20/0.44  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.38/0.55  
%------------------------------------------------------------------------------