%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP495-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n028.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 10:41:44 EDT 2022

% Result   : Unsatisfiable 0.17s 0.43s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   75
%            Number of leaves      :  124
% Syntax   : Number of clauses     :  420 ( 211 unt;   0 nHn; 198 RR)
%            Number of literals    :  730 ( 729 equ; 312 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  756 (   0 sgn)

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

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

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

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

cnf(prove_these_axioms_3,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).

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(A,double_divide(A,X_32)) = inverse(double_divide(double_divide(A,X_32),A)),
    inference(subst,[],[refute_0_8:[bind(B,$fot(double_divide(A,X_32)))]]) ).

cnf(refute_0_10,plain,
    double_divide(identity,identity) = inverse(identity),
    inference(subst,[],[refute_0_4:[bind(A,$fot(identity))]]) ).

cnf(refute_0_11,plain,
    double_divide(double_divide(B,C),double_divide(identity,identity)) = double_divide(double_divide(B,C),double_divide(identity,identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(B,C),double_divide(identity,identity)))]]) ).

cnf(refute_0_12,plain,
    ( double_divide(double_divide(B,C),double_divide(identity,identity)) != double_divide(double_divide(B,C),double_divide(identity,identity))
    | double_divide(identity,identity) != inverse(identity)
    | double_divide(double_divide(B,C),double_divide(identity,identity)) = double_divide(double_divide(B,C),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(double_divide(B,C),double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).

cnf(refute_0_13,plain,
    ( double_divide(identity,identity) != inverse(identity)
    | double_divide(double_divide(B,C),double_divide(identity,identity)) = double_divide(double_divide(B,C),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(double_divide(B,C),double_divide(identity,identity))) )],[refute_0_11,refute_0_12]) ).

cnf(refute_0_14,plain,
    double_divide(double_divide(B,C),double_divide(identity,identity)) = double_divide(double_divide(B,C),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_10,refute_0_13]) ).

cnf(refute_0_15,plain,
    double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C)) = double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C)))]]) ).

cnf(refute_0_16,plain,
    ( double_divide(double_divide(B,C),double_divide(identity,identity)) != double_divide(double_divide(B,C),inverse(identity))
    | double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C)) != double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C))
    | double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C)) = double_divide(double_divide(double_divide(B,C),inverse(identity)),double_divide(A,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C)),double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C))) ),[1,0],$fot(double_divide(double_divide(B,C),inverse(identity)))]]) ).

cnf(refute_0_17,plain,
    ( double_divide(double_divide(B,C),double_divide(identity,identity)) != double_divide(double_divide(B,C),inverse(identity))
    | double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C)) = double_divide(double_divide(double_divide(B,C),inverse(identity)),double_divide(A,C)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C)),double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C))) )],[refute_0_15,refute_0_16]) ).

cnf(refute_0_18,plain,
    double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C)) = double_divide(double_divide(double_divide(B,C),inverse(identity)),double_divide(A,C)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(double_divide(B,C),inverse(identity))) )],[refute_0_14,refute_0_17]) ).

cnf(refute_0_19,plain,
    double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C))) = double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C))))]]) ).

cnf(refute_0_20,plain,
    ( double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C)) != double_divide(double_divide(double_divide(B,C),inverse(identity)),double_divide(A,C))
    | double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C))) != double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C)))
    | double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C))) = double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),inverse(identity)),double_divide(A,C))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C))),double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C)))) ),[1,1],$fot(double_divide(double_divide(double_divide(B,C),inverse(identity)),double_divide(A,C)))]]) ).

cnf(refute_0_21,plain,
    ( double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C)) != double_divide(double_divide(double_divide(B,C),inverse(identity)),double_divide(A,C))
    | double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C))) = double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),inverse(identity)),double_divide(A,C))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C))),double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C)))) )],[refute_0_19,refute_0_20]) ).

cnf(refute_0_22,plain,
    double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C))) = double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),inverse(identity)),double_divide(A,C))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C)),double_divide(double_divide(double_divide(B,C),inverse(identity)),double_divide(A,C))) )],[refute_0_18,refute_0_21]) ).

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

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

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

cnf(refute_0_26,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_11)),inverse(identity)),double_divide(X_10,inverse(X_11)))) = X_11,
    inference(subst,[],[refute_0_25:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(inverse(X_11)))]]) ).

cnf(refute_0_27,plain,
    identity = double_divide(X_11,inverse(X_11)),
    inference(subst,[],[identity:[bind(A,$fot(X_11))]]) ).

cnf(refute_0_28,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_29,plain,
    double_divide(X_11,inverse(X_11)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_11,inverse(X_11))) )],[refute_0_27,refute_0_28]) ).

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

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

cnf(refute_0_32,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,inverse(X_11)),inverse(identity)),double_divide(X_10,inverse(X_11)))),X_11) )],[refute_0_26,refute_0_31]) ).

cnf(refute_0_33,plain,
    ( identity != double_divide(A,inverse(A))
    | double_divide(A,inverse(A)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(A,inverse(A))))]]) ).

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

cnf(refute_0_35,plain,
    double_divide(identity,inverse(identity)) = identity,
    inference(subst,[],[refute_0_34:[bind(A,$fot(identity))]]) ).

cnf(refute_0_36,plain,
    double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))) = double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))))]]) ).

cnf(refute_0_37,plain,
    ( double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))) != double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))
    | double_divide(identity,inverse(identity)) != identity
    | double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))) = double_divide(identity,double_divide(X_10,inverse(X_11))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_38,plain,
    ( double_divide(identity,inverse(identity)) != identity
    | double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))) = double_divide(identity,double_divide(X_10,inverse(X_11))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) )],[refute_0_36,refute_0_37]) ).

cnf(refute_0_39,plain,
    double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))) = double_divide(identity,double_divide(X_10,inverse(X_11))),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_35,refute_0_38]) ).

cnf(refute_0_40,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) = double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))))]]) ).

cnf(refute_0_41,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) != double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))))
    | double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))) != double_divide(identity,double_divide(X_10,inverse(X_11)))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))),double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))))) ),[1,1],$fot(double_divide(identity,double_divide(X_10,inverse(X_11))))]]) ).

cnf(refute_0_42,plain,
    ( double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))) != double_divide(identity,double_divide(X_10,inverse(X_11)))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))),double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))))) )],[refute_0_40,refute_0_41]) ).

cnf(refute_0_43,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11))),double_divide(identity,double_divide(X_10,inverse(X_11)))) )],[refute_0_39,refute_0_42]) ).

cnf(refute_0_44,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) != X_11
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) != double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11))))
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))),X_11) ),[0],$fot(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))))]]) ).

cnf(refute_0_45,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))) != X_11
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))),double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11))))) )],[refute_0_43,refute_0_44]) ).

cnf(refute_0_46,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(identity,inverse(identity)),double_divide(X_10,inverse(X_11)))),X_11) )],[refute_0_32,refute_0_45]) ).

cnf(refute_0_47,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_48,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_47]) ).

cnf(refute_0_49,plain,
    inverse(double_divide(X_10,inverse(X_11))) = multiply(inverse(X_11),X_10),
    inference(subst,[],[refute_0_48:[bind(A,$fot(inverse(X_11))),bind(B,$fot(X_10))]]) ).

cnf(refute_0_50,plain,
    multiply(double_divide(identity,X_17),identity) = inverse(double_divide(identity,double_divide(identity,X_17))),
    inference(subst,[],[refute_0_8:[bind(A,$fot(double_divide(identity,X_17))),bind(B,$fot(identity))]]) ).

cnf(refute_0_51,plain,
    double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,inverse(X_14)))) = X_14,
    inference(subst,[],[refute_0_46:[bind(X_10,$fot(identity)),bind(X_11,$fot(X_14))]]) ).

cnf(refute_0_52,plain,
    ( double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,inverse(X_14)))) != X_14
    | double_divide(identity,identity) != inverse(identity)
    | double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))) = X_14 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,inverse(X_14)))),X_14) ),[0,0],$fot(inverse(identity))]]) ).

cnf(refute_0_53,plain,
    ( double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,inverse(X_14)))) != X_14
    | double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))) = X_14 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_10,refute_0_52]) ).

cnf(refute_0_54,plain,
    double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))) = X_14,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,inverse(X_14)))),X_14) )],[refute_0_51,refute_0_53]) ).

cnf(refute_0_55,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),double_divide(X_10,identity))) = X_11,
    inference(subst,[],[refute_0_25:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(identity))]]) ).

cnf(refute_0_56,plain,
    inverse(X_10) = double_divide(X_10,identity),
    inference(subst,[],[inverse:[bind(A,$fot(X_10))]]) ).

cnf(refute_0_57,plain,
    ( inverse(X_10) != double_divide(X_10,identity)
    | double_divide(X_10,identity) = inverse(X_10) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_10))),bind(Y,$fot(double_divide(X_10,identity)))]]) ).

cnf(refute_0_58,plain,
    double_divide(X_10,identity) = inverse(X_10),
    inference(resolve,[$cnf( $equal(inverse(X_10),double_divide(X_10,identity)) )],[refute_0_56,refute_0_57]) ).

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

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

cnf(refute_0_61,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),double_divide(X_10,identity))),X_11) )],[refute_0_55,refute_0_60]) ).

cnf(refute_0_62,plain,
    double_divide(X_11,identity) = inverse(X_11),
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_11))]]) ).

cnf(refute_0_63,plain,
    double_divide(double_divide(X_11,identity),inverse(identity)) = double_divide(double_divide(X_11,identity),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,identity),inverse(identity)))]]) ).

cnf(refute_0_64,plain,
    ( double_divide(X_11,identity) != inverse(X_11)
    | double_divide(double_divide(X_11,identity),inverse(identity)) != double_divide(double_divide(X_11,identity),inverse(identity))
    | double_divide(double_divide(X_11,identity),inverse(identity)) = double_divide(inverse(X_11),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(identity)),double_divide(double_divide(X_11,identity),inverse(identity))) ),[1,0],$fot(inverse(X_11))]]) ).

cnf(refute_0_65,plain,
    ( double_divide(X_11,identity) != inverse(X_11)
    | double_divide(double_divide(X_11,identity),inverse(identity)) = double_divide(inverse(X_11),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(identity)),double_divide(double_divide(X_11,identity),inverse(identity))) )],[refute_0_63,refute_0_64]) ).

cnf(refute_0_66,plain,
    double_divide(double_divide(X_11,identity),inverse(identity)) = double_divide(inverse(X_11),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(X_11,identity),inverse(X_11)) )],[refute_0_62,refute_0_65]) ).

cnf(refute_0_67,plain,
    double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)) = double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)))]]) ).

cnf(refute_0_68,plain,
    ( double_divide(double_divide(X_11,identity),inverse(identity)) != double_divide(inverse(X_11),inverse(identity))
    | double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)) != double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))
    | double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)) = double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) ),[1,0],$fot(double_divide(inverse(X_11),inverse(identity)))]]) ).

cnf(refute_0_69,plain,
    ( double_divide(double_divide(X_11,identity),inverse(identity)) != double_divide(inverse(X_11),inverse(identity))
    | double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)) = double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) )],[refute_0_67,refute_0_68]) ).

cnf(refute_0_70,plain,
    double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)) = double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(identity)),double_divide(inverse(X_11),inverse(identity))) )],[refute_0_66,refute_0_69]) ).

cnf(refute_0_71,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) = double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))))]]) ).

cnf(refute_0_72,plain,
    ( double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)) != double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) != double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) = double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))),double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)))) ),[1,1],$fot(double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)))]]) ).

cnf(refute_0_73,plain,
    ( double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)) != double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) = double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))),double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)))) )],[refute_0_71,refute_0_72]) ).

cnf(refute_0_74,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) = double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10)),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) )],[refute_0_70,refute_0_73]) ).

cnf(refute_0_75,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) != X_11
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) != double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))),X_11) ),[0],$fot(double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))))]]) ).

cnf(refute_0_76,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))) != X_11
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))),double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)))) )],[refute_0_74,refute_0_75]) ).

cnf(refute_0_77,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,identity),inverse(identity)),inverse(X_10))),X_11) )],[refute_0_61,refute_0_76]) ).

cnf(refute_0_78,plain,
    double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(double_divide(identity,X_15),inverse(identity)),inverse(identity)),double_divide(A,inverse(identity)))) = double_divide(identity,X_15),
    inference(subst,[],[refute_0_25:[bind(B,$fot(double_divide(identity,X_15))),bind(C,$fot(inverse(identity)))]]) ).

cnf(refute_0_79,plain,
    double_divide(double_divide(identity,X_14),double_divide(identity,double_divide(X_14,inverse(X_14)))) = X_14,
    inference(subst,[],[refute_0_46:[bind(X_10,$fot(X_14)),bind(X_11,$fot(X_14))]]) ).

cnf(refute_0_80,plain,
    identity = double_divide(X_14,inverse(X_14)),
    inference(subst,[],[identity:[bind(A,$fot(X_14))]]) ).

cnf(refute_0_81,plain,
    ( identity != double_divide(X_14,inverse(X_14))
    | double_divide(X_14,inverse(X_14)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_14,inverse(X_14))))]]) ).

cnf(refute_0_82,plain,
    double_divide(X_14,inverse(X_14)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_14,inverse(X_14))) )],[refute_0_80,refute_0_81]) ).

cnf(refute_0_83,plain,
    ( double_divide(X_14,inverse(X_14)) != identity
    | double_divide(double_divide(identity,X_14),double_divide(identity,double_divide(X_14,inverse(X_14)))) != X_14
    | double_divide(double_divide(identity,X_14),double_divide(identity,identity)) = X_14 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_14),double_divide(identity,double_divide(X_14,inverse(X_14)))),X_14) ),[0,1,1],$fot(identity)]]) ).

cnf(refute_0_84,plain,
    ( double_divide(double_divide(identity,X_14),double_divide(identity,double_divide(X_14,inverse(X_14)))) != X_14
    | double_divide(double_divide(identity,X_14),double_divide(identity,identity)) = X_14 ),
    inference(resolve,[$cnf( $equal(double_divide(X_14,inverse(X_14)),identity) )],[refute_0_82,refute_0_83]) ).

cnf(refute_0_85,plain,
    double_divide(double_divide(identity,X_14),double_divide(identity,identity)) = X_14,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_14),double_divide(identity,double_divide(X_14,inverse(X_14)))),X_14) )],[refute_0_79,refute_0_84]) ).

cnf(refute_0_86,plain,
    double_divide(double_divide(identity,X_14),double_divide(identity,identity)) = double_divide(double_divide(identity,X_14),double_divide(identity,identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_14),double_divide(identity,identity)))]]) ).

cnf(refute_0_87,plain,
    ( double_divide(double_divide(identity,X_14),double_divide(identity,identity)) != double_divide(double_divide(identity,X_14),double_divide(identity,identity))
    | double_divide(identity,identity) != inverse(identity)
    | double_divide(double_divide(identity,X_14),double_divide(identity,identity)) = double_divide(double_divide(identity,X_14),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_14),double_divide(identity,identity)),double_divide(double_divide(identity,X_14),double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).

cnf(refute_0_88,plain,
    ( double_divide(identity,identity) != inverse(identity)
    | double_divide(double_divide(identity,X_14),double_divide(identity,identity)) = double_divide(double_divide(identity,X_14),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_14),double_divide(identity,identity)),double_divide(double_divide(identity,X_14),double_divide(identity,identity))) )],[refute_0_86,refute_0_87]) ).

cnf(refute_0_89,plain,
    double_divide(double_divide(identity,X_14),double_divide(identity,identity)) = double_divide(double_divide(identity,X_14),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_10,refute_0_88]) ).

cnf(refute_0_90,plain,
    ( double_divide(double_divide(identity,X_14),double_divide(identity,identity)) != X_14
    | double_divide(double_divide(identity,X_14),double_divide(identity,identity)) != double_divide(double_divide(identity,X_14),inverse(identity))
    | double_divide(double_divide(identity,X_14),inverse(identity)) = X_14 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_14),double_divide(identity,identity)),X_14) ),[0],$fot(double_divide(double_divide(identity,X_14),inverse(identity)))]]) ).

cnf(refute_0_91,plain,
    ( double_divide(double_divide(identity,X_14),double_divide(identity,identity)) != X_14
    | double_divide(double_divide(identity,X_14),inverse(identity)) = X_14 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_14),double_divide(identity,identity)),double_divide(double_divide(identity,X_14),inverse(identity))) )],[refute_0_89,refute_0_90]) ).

cnf(refute_0_92,plain,
    double_divide(double_divide(identity,X_14),inverse(identity)) = X_14,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_14),double_divide(identity,identity)),X_14) )],[refute_0_85,refute_0_91]) ).

cnf(refute_0_93,plain,
    double_divide(double_divide(identity,X_15),inverse(identity)) = X_15,
    inference(subst,[],[refute_0_92:[bind(X_14,$fot(X_15))]]) ).

cnf(refute_0_94,plain,
    ( double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(double_divide(identity,X_15),inverse(identity)),inverse(identity)),double_divide(A,inverse(identity)))) != double_divide(identity,X_15)
    | double_divide(double_divide(identity,X_15),inverse(identity)) != X_15
    | double_divide(double_divide(identity,A),double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity)))) = double_divide(identity,X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(double_divide(identity,X_15),inverse(identity)),inverse(identity)),double_divide(A,inverse(identity)))),double_divide(identity,X_15)) ),[0,1,0,0],$fot(X_15)]]) ).

cnf(refute_0_95,plain,
    ( double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(double_divide(identity,X_15),inverse(identity)),inverse(identity)),double_divide(A,inverse(identity)))) != double_divide(identity,X_15)
    | double_divide(double_divide(identity,A),double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity)))) = double_divide(identity,X_15) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_15),inverse(identity)),X_15) )],[refute_0_93,refute_0_94]) ).

cnf(refute_0_96,plain,
    double_divide(double_divide(identity,A),double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity)))) = double_divide(identity,X_15),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(double_divide(identity,X_15),inverse(identity)),inverse(identity)),double_divide(A,inverse(identity)))),double_divide(identity,X_15)) )],[refute_0_78,refute_0_95]) ).

cnf(refute_0_97,plain,
    double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = inverse(identity),
    inference(subst,[],[refute_0_92:[bind(X_14,$fot(inverse(identity)))]]) ).

cnf(refute_0_98,plain,
    ( double_divide(double_divide(identity,inverse(identity)),inverse(identity)) != inverse(identity)
    | double_divide(identity,inverse(identity)) != identity
    | double_divide(identity,inverse(identity)) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),inverse(identity)) ),[0,0],$fot(identity)]]) ).

cnf(refute_0_99,plain,
    ( double_divide(double_divide(identity,inverse(identity)),inverse(identity)) != inverse(identity)
    | double_divide(identity,inverse(identity)) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_35,refute_0_98]) ).

cnf(refute_0_100,plain,
    double_divide(identity,inverse(identity)) = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),inverse(identity)) )],[refute_0_97,refute_0_99]) ).

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

cnf(refute_0_102,plain,
    ( double_divide(identity,inverse(identity)) != inverse(identity)
    | identity = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_35,refute_0_101]) ).

cnf(refute_0_103,plain,
    identity = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),inverse(identity)) )],[refute_0_100,refute_0_102]) ).

cnf(refute_0_104,plain,
    ( identity != inverse(identity)
    | inverse(identity) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(identity)))]]) ).

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

cnf(refute_0_106,plain,
    double_divide(A,inverse(identity)) = double_divide(A,inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(A,inverse(identity)))]]) ).

cnf(refute_0_107,plain,
    ( double_divide(A,inverse(identity)) != double_divide(A,inverse(identity))
    | inverse(identity) != identity
    | double_divide(A,inverse(identity)) = double_divide(A,identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(A,inverse(identity)),double_divide(A,inverse(identity))) ),[1,1],$fot(identity)]]) ).

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

cnf(refute_0_109,plain,
    double_divide(A,inverse(identity)) = double_divide(A,identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_105,refute_0_108]) ).

cnf(refute_0_110,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_111,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_110]) ).

cnf(refute_0_112,plain,
    ( double_divide(A,identity) != inverse(A)
    | double_divide(A,inverse(identity)) != double_divide(A,identity)
    | double_divide(A,inverse(identity)) = inverse(A) ),
    inference(subst,[],[refute_0_111:[bind(X,$fot(double_divide(A,inverse(identity)))),bind(Y,$fot(double_divide(A,identity))),bind(Z,$fot(inverse(A)))]]) ).

cnf(refute_0_113,plain,
    ( double_divide(A,identity) != inverse(A)
    | double_divide(A,inverse(identity)) = inverse(A) ),
    inference(resolve,[$cnf( $equal(double_divide(A,inverse(identity)),double_divide(A,identity)) )],[refute_0_109,refute_0_112]) ).

cnf(refute_0_114,plain,
    double_divide(A,inverse(identity)) = inverse(A),
    inference(resolve,[$cnf( $equal(double_divide(A,identity),inverse(A)) )],[refute_0_4,refute_0_113]) ).

cnf(refute_0_115,plain,
    double_divide(inverse(X_15),double_divide(A,inverse(identity))) = double_divide(inverse(X_15),double_divide(A,inverse(identity))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(X_15),double_divide(A,inverse(identity))))]]) ).

cnf(refute_0_116,plain,
    ( double_divide(A,inverse(identity)) != inverse(A)
    | double_divide(inverse(X_15),double_divide(A,inverse(identity))) != double_divide(inverse(X_15),double_divide(A,inverse(identity)))
    | double_divide(inverse(X_15),double_divide(A,inverse(identity))) = double_divide(inverse(X_15),inverse(A)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_15),double_divide(A,inverse(identity))),double_divide(inverse(X_15),double_divide(A,inverse(identity)))) ),[1,1],$fot(inverse(A))]]) ).

cnf(refute_0_117,plain,
    ( double_divide(A,inverse(identity)) != inverse(A)
    | double_divide(inverse(X_15),double_divide(A,inverse(identity))) = double_divide(inverse(X_15),inverse(A)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),double_divide(A,inverse(identity))),double_divide(inverse(X_15),double_divide(A,inverse(identity)))) )],[refute_0_115,refute_0_116]) ).

cnf(refute_0_118,plain,
    double_divide(inverse(X_15),double_divide(A,inverse(identity))) = double_divide(inverse(X_15),inverse(A)),
    inference(resolve,[$cnf( $equal(double_divide(A,inverse(identity)),inverse(A)) )],[refute_0_114,refute_0_117]) ).

cnf(refute_0_119,plain,
    double_divide(X_15,identity) = inverse(X_15),
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_15))]]) ).

cnf(refute_0_120,plain,
    double_divide(X_15,inverse(identity)) = double_divide(X_15,inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(X_15,inverse(identity)))]]) ).

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

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

cnf(refute_0_123,plain,
    double_divide(X_15,inverse(identity)) = double_divide(X_15,identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_105,refute_0_122]) ).

cnf(refute_0_124,plain,
    ( double_divide(X_15,identity) != inverse(X_15)
    | double_divide(X_15,inverse(identity)) != double_divide(X_15,identity)
    | double_divide(X_15,inverse(identity)) = inverse(X_15) ),
    inference(subst,[],[refute_0_111:[bind(X,$fot(double_divide(X_15,inverse(identity)))),bind(Y,$fot(double_divide(X_15,identity))),bind(Z,$fot(inverse(X_15)))]]) ).

cnf(refute_0_125,plain,
    ( double_divide(X_15,identity) != inverse(X_15)
    | double_divide(X_15,inverse(identity)) = inverse(X_15) ),
    inference(resolve,[$cnf( $equal(double_divide(X_15,inverse(identity)),double_divide(X_15,identity)) )],[refute_0_123,refute_0_124]) ).

cnf(refute_0_126,plain,
    double_divide(X_15,inverse(identity)) = inverse(X_15),
    inference(resolve,[$cnf( $equal(double_divide(X_15,identity),inverse(X_15)) )],[refute_0_119,refute_0_125]) ).

cnf(refute_0_127,plain,
    double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity))) = double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity))))]]) ).

cnf(refute_0_128,plain,
    ( double_divide(X_15,inverse(identity)) != inverse(X_15)
    | double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity))) != double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity)))
    | double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity))) = double_divide(inverse(X_15),double_divide(A,inverse(identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity))),double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity)))) ),[1,0],$fot(inverse(X_15))]]) ).

cnf(refute_0_129,plain,
    ( double_divide(X_15,inverse(identity)) != inverse(X_15)
    | double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity))) = double_divide(inverse(X_15),double_divide(A,inverse(identity))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity))),double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity)))) )],[refute_0_127,refute_0_128]) ).

cnf(refute_0_130,plain,
    double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity))) = double_divide(inverse(X_15),double_divide(A,inverse(identity))),
    inference(resolve,[$cnf( $equal(double_divide(X_15,inverse(identity)),inverse(X_15)) )],[refute_0_126,refute_0_129]) ).

cnf(refute_0_131,plain,
    ( double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity))) != double_divide(inverse(X_15),double_divide(A,inverse(identity)))
    | double_divide(inverse(X_15),double_divide(A,inverse(identity))) != double_divide(inverse(X_15),inverse(A))
    | double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity))) = double_divide(inverse(X_15),inverse(A)) ),
    inference(subst,[],[refute_0_111:[bind(X,$fot(double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity))))),bind(Y,$fot(double_divide(inverse(X_15),double_divide(A,inverse(identity))))),bind(Z,$fot(double_divide(inverse(X_15),inverse(A))))]]) ).

cnf(refute_0_132,plain,
    ( double_divide(inverse(X_15),double_divide(A,inverse(identity))) != double_divide(inverse(X_15),inverse(A))
    | double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity))) = double_divide(inverse(X_15),inverse(A)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity))),double_divide(inverse(X_15),double_divide(A,inverse(identity)))) )],[refute_0_130,refute_0_131]) ).

cnf(refute_0_133,plain,
    double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity))) = double_divide(inverse(X_15),inverse(A)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),double_divide(A,inverse(identity))),double_divide(inverse(X_15),inverse(A))) )],[refute_0_118,refute_0_132]) ).

cnf(refute_0_134,plain,
    double_divide(double_divide(identity,A),double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity)))) = double_divide(double_divide(identity,A),double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity)))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,A),double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity)))))]]) ).

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

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

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

cnf(refute_0_138,plain,
    ( double_divide(double_divide(identity,A),double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity)))) != double_divide(double_divide(identity,A),double_divide(inverse(X_15),inverse(A)))
    | double_divide(double_divide(identity,A),double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity)))) != double_divide(identity,X_15)
    | double_divide(double_divide(identity,A),double_divide(inverse(X_15),inverse(A))) = double_divide(identity,X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,A),double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity)))),double_divide(identity,X_15)) ),[0],$fot(double_divide(double_divide(identity,A),double_divide(inverse(X_15),inverse(A))))]]) ).

cnf(refute_0_139,plain,
    ( double_divide(double_divide(identity,A),double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity)))) != double_divide(identity,X_15)
    | double_divide(double_divide(identity,A),double_divide(inverse(X_15),inverse(A))) = double_divide(identity,X_15) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,A),double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity)))),double_divide(double_divide(identity,A),double_divide(inverse(X_15),inverse(A)))) )],[refute_0_137,refute_0_138]) ).

cnf(refute_0_140,plain,
    double_divide(double_divide(identity,A),double_divide(inverse(X_15),inverse(A))) = double_divide(identity,X_15),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,A),double_divide(double_divide(X_15,inverse(identity)),double_divide(A,inverse(identity)))),double_divide(identity,X_15)) )],[refute_0_96,refute_0_139]) ).

cnf(refute_0_141,plain,
    double_divide(double_divide(identity,X_10),double_divide(inverse(inverse(X_11)),inverse(X_10))) = double_divide(identity,inverse(X_11)),
    inference(subst,[],[refute_0_140:[bind(A,$fot(X_10)),bind(X_15,$fot(inverse(X_11)))]]) ).

cnf(refute_0_142,plain,
    double_divide(inverse(X_11),identity) = inverse(inverse(X_11)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(X_11)))]]) ).

cnf(refute_0_143,plain,
    double_divide(inverse(X_11),inverse(identity)) = double_divide(inverse(X_11),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(inverse(X_11),inverse(identity)))]]) ).

cnf(refute_0_144,plain,
    ( double_divide(inverse(X_11),inverse(identity)) != double_divide(inverse(X_11),inverse(identity))
    | inverse(identity) != identity
    | double_divide(inverse(X_11),inverse(identity)) = double_divide(inverse(X_11),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_11),inverse(identity)),double_divide(inverse(X_11),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_145,plain,
    ( inverse(identity) != identity
    | double_divide(inverse(X_11),inverse(identity)) = double_divide(inverse(X_11),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(identity)),double_divide(inverse(X_11),inverse(identity))) )],[refute_0_143,refute_0_144]) ).

cnf(refute_0_146,plain,
    double_divide(inverse(X_11),inverse(identity)) = double_divide(inverse(X_11),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_105,refute_0_145]) ).

cnf(refute_0_147,plain,
    ( double_divide(inverse(X_11),identity) != inverse(inverse(X_11))
    | double_divide(inverse(X_11),inverse(identity)) != double_divide(inverse(X_11),identity)
    | double_divide(inverse(X_11),inverse(identity)) = inverse(inverse(X_11)) ),
    inference(subst,[],[refute_0_111:[bind(X,$fot(double_divide(inverse(X_11),inverse(identity)))),bind(Y,$fot(double_divide(inverse(X_11),identity))),bind(Z,$fot(inverse(inverse(X_11))))]]) ).

cnf(refute_0_148,plain,
    ( double_divide(inverse(X_11),identity) != inverse(inverse(X_11))
    | double_divide(inverse(X_11),inverse(identity)) = inverse(inverse(X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(identity)),double_divide(inverse(X_11),identity)) )],[refute_0_146,refute_0_147]) ).

cnf(refute_0_149,plain,
    double_divide(inverse(X_11),inverse(identity)) = inverse(inverse(X_11)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),identity),inverse(inverse(X_11))) )],[refute_0_142,refute_0_148]) ).

cnf(refute_0_150,plain,
    double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)) = double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)))]]) ).

cnf(refute_0_151,plain,
    ( double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)) != double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))
    | double_divide(inverse(X_11),inverse(identity)) != inverse(inverse(X_11))
    | double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)) = double_divide(inverse(inverse(X_11)),inverse(X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) ),[1,0],$fot(inverse(inverse(X_11)))]]) ).

cnf(refute_0_152,plain,
    ( double_divide(inverse(X_11),inverse(identity)) != inverse(inverse(X_11))
    | double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)) = double_divide(inverse(inverse(X_11)),inverse(X_10)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) )],[refute_0_150,refute_0_151]) ).

cnf(refute_0_153,plain,
    double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)) = double_divide(inverse(inverse(X_11)),inverse(X_10)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(identity)),inverse(inverse(X_11))) )],[refute_0_149,refute_0_152]) ).

cnf(refute_0_154,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) = double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))))]]) ).

cnf(refute_0_155,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) != double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)))
    | double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)) != double_divide(inverse(inverse(X_11)),inverse(X_10))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) = double_divide(double_divide(identity,X_10),double_divide(inverse(inverse(X_11)),inverse(X_10))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))),double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)))) ),[1,1],$fot(double_divide(inverse(inverse(X_11)),inverse(X_10)))]]) ).

cnf(refute_0_156,plain,
    ( double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)) != double_divide(inverse(inverse(X_11)),inverse(X_10))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) = double_divide(double_divide(identity,X_10),double_divide(inverse(inverse(X_11)),inverse(X_10))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))),double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)))) )],[refute_0_154,refute_0_155]) ).

cnf(refute_0_157,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) = double_divide(double_divide(identity,X_10),double_divide(inverse(inverse(X_11)),inverse(X_10))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10)),double_divide(inverse(inverse(X_11)),inverse(X_10))) )],[refute_0_153,refute_0_156]) ).

cnf(refute_0_158,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) != double_divide(double_divide(identity,X_10),double_divide(inverse(inverse(X_11)),inverse(X_10)))
    | double_divide(double_divide(identity,X_10),double_divide(inverse(inverse(X_11)),inverse(X_10))) != double_divide(identity,inverse(X_11))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) = double_divide(identity,inverse(X_11)) ),
    inference(subst,[],[refute_0_111:[bind(X,$fot(double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))))),bind(Y,$fot(double_divide(double_divide(identity,X_10),double_divide(inverse(inverse(X_11)),inverse(X_10))))),bind(Z,$fot(double_divide(identity,inverse(X_11))))]]) ).

cnf(refute_0_159,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(inverse(inverse(X_11)),inverse(X_10))) != double_divide(identity,inverse(X_11))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) = double_divide(identity,inverse(X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))),double_divide(double_divide(identity,X_10),double_divide(inverse(inverse(X_11)),inverse(X_10)))) )],[refute_0_157,refute_0_158]) ).

cnf(refute_0_160,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) = double_divide(identity,inverse(X_11)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(inverse(inverse(X_11)),inverse(X_10))),double_divide(identity,inverse(X_11))) )],[refute_0_141,refute_0_159]) ).

cnf(refute_0_161,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) != X_11
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) != double_divide(identity,inverse(X_11))
    | double_divide(identity,inverse(X_11)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))),X_11) ),[0],$fot(double_divide(identity,inverse(X_11)))]]) ).

cnf(refute_0_162,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))) != X_11
    | double_divide(identity,inverse(X_11)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))),double_divide(identity,inverse(X_11))) )],[refute_0_160,refute_0_161]) ).

cnf(refute_0_163,plain,
    double_divide(identity,inverse(X_11)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(inverse(X_11),inverse(identity)),inverse(X_10))),X_11) )],[refute_0_77,refute_0_162]) ).

cnf(refute_0_164,plain,
    double_divide(identity,inverse(X_14)) = X_14,
    inference(subst,[],[refute_0_163:[bind(X_11,$fot(X_14))]]) ).

cnf(refute_0_165,plain,
    double_divide(identity,double_divide(identity,inverse(X_14))) = double_divide(identity,double_divide(identity,inverse(X_14))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(identity,inverse(X_14))))]]) ).

cnf(refute_0_166,plain,
    ( double_divide(identity,double_divide(identity,inverse(X_14))) != double_divide(identity,double_divide(identity,inverse(X_14)))
    | double_divide(identity,inverse(X_14)) != X_14
    | double_divide(identity,double_divide(identity,inverse(X_14))) = double_divide(identity,X_14) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(X_14))),double_divide(identity,double_divide(identity,inverse(X_14)))) ),[1,1],$fot(X_14)]]) ).

cnf(refute_0_167,plain,
    ( double_divide(identity,inverse(X_14)) != X_14
    | double_divide(identity,double_divide(identity,inverse(X_14))) = double_divide(identity,X_14) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(X_14))),double_divide(identity,double_divide(identity,inverse(X_14)))) )],[refute_0_165,refute_0_166]) ).

cnf(refute_0_168,plain,
    double_divide(identity,double_divide(identity,inverse(X_14))) = double_divide(identity,X_14),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_14)),X_14) )],[refute_0_164,refute_0_167]) ).

cnf(refute_0_169,plain,
    double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14)))) = double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14)))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14)))))]]) ).

cnf(refute_0_170,plain,
    ( double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14)))) != double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14))))
    | double_divide(identity,double_divide(identity,inverse(X_14))) != double_divide(identity,X_14)
    | double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14)))) = double_divide(identity,double_divide(identity,X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14)))),double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14))))) ),[1,1],$fot(double_divide(identity,X_14))]]) ).

cnf(refute_0_171,plain,
    ( double_divide(identity,double_divide(identity,inverse(X_14))) != double_divide(identity,X_14)
    | double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14)))) = double_divide(identity,double_divide(identity,X_14)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14)))),double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14))))) )],[refute_0_169,refute_0_170]) ).

cnf(refute_0_172,plain,
    double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14)))) = double_divide(identity,double_divide(identity,X_14)),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(X_14))),double_divide(identity,X_14)) )],[refute_0_168,refute_0_171]) ).

cnf(refute_0_173,plain,
    double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))) = double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))))]]) ).

cnf(refute_0_174,plain,
    ( double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))) != double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14))))
    | inverse(identity) != identity
    | double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))) = double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))),double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14))))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_175,plain,
    ( inverse(identity) != identity
    | double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))) = double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14)))) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))),double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14))))) )],[refute_0_173,refute_0_174]) ).

cnf(refute_0_176,plain,
    double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))) = double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14)))),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_105,refute_0_175]) ).

cnf(refute_0_177,plain,
    ( double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14)))) != double_divide(identity,double_divide(identity,X_14))
    | double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))) != double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14))))
    | double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))) = double_divide(identity,double_divide(identity,X_14)) ),
    inference(subst,[],[refute_0_111:[bind(X,$fot(double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))))),bind(Y,$fot(double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14)))))),bind(Z,$fot(double_divide(identity,double_divide(identity,X_14))))]]) ).

cnf(refute_0_178,plain,
    ( double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14)))) != double_divide(identity,double_divide(identity,X_14))
    | double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))) = double_divide(identity,double_divide(identity,X_14)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))),double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14))))) )],[refute_0_176,refute_0_177]) ).

cnf(refute_0_179,plain,
    double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))) = double_divide(identity,double_divide(identity,X_14)),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(identity,inverse(X_14)))),double_divide(identity,double_divide(identity,X_14))) )],[refute_0_172,refute_0_178]) ).

cnf(refute_0_180,plain,
    ( double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))) != X_14
    | double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))) != double_divide(identity,double_divide(identity,X_14))
    | double_divide(identity,double_divide(identity,X_14)) = X_14 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))),X_14) ),[0],$fot(double_divide(identity,double_divide(identity,X_14)))]]) ).

cnf(refute_0_181,plain,
    ( double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))) != X_14
    | double_divide(identity,double_divide(identity,X_14)) = X_14 ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))),double_divide(identity,double_divide(identity,X_14))) )],[refute_0_179,refute_0_180]) ).

cnf(refute_0_182,plain,
    double_divide(identity,double_divide(identity,X_14)) = X_14,
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X_14)))),X_14) )],[refute_0_54,refute_0_181]) ).

cnf(refute_0_183,plain,
    double_divide(identity,double_divide(identity,X_17)) = X_17,
    inference(subst,[],[refute_0_182:[bind(X_14,$fot(X_17))]]) ).

cnf(refute_0_184,plain,
    ( multiply(double_divide(identity,X_17),identity) != inverse(double_divide(identity,double_divide(identity,X_17)))
    | double_divide(identity,double_divide(identity,X_17)) != X_17
    | multiply(double_divide(identity,X_17),identity) = inverse(X_17) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,X_17),identity),inverse(double_divide(identity,double_divide(identity,X_17)))) ),[1,0],$fot(X_17)]]) ).

cnf(refute_0_185,plain,
    ( multiply(double_divide(identity,X_17),identity) != inverse(double_divide(identity,double_divide(identity,X_17)))
    | multiply(double_divide(identity,X_17),identity) = inverse(X_17) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,X_17)),X_17) )],[refute_0_183,refute_0_184]) ).

cnf(refute_0_186,plain,
    multiply(double_divide(identity,X_17),identity) = inverse(X_17),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_17),identity),inverse(double_divide(identity,double_divide(identity,X_17)))) )],[refute_0_50,refute_0_185]) ).

cnf(refute_0_187,plain,
    inverse(double_divide(identity,X_14)) = multiply(X_14,identity),
    inference(subst,[],[refute_0_48:[bind(A,$fot(X_14)),bind(B,$fot(identity))]]) ).

cnf(refute_0_188,plain,
    double_divide(double_divide(identity,X_14),identity) = inverse(double_divide(identity,X_14)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,X_14)))]]) ).

cnf(refute_0_189,plain,
    ( double_divide(double_divide(identity,X_14),identity) != inverse(double_divide(identity,X_14))
    | inverse(double_divide(identity,X_14)) != multiply(X_14,identity)
    | double_divide(double_divide(identity,X_14),identity) = multiply(X_14,identity) ),
    inference(subst,[],[refute_0_111:[bind(X,$fot(double_divide(double_divide(identity,X_14),identity))),bind(Y,$fot(inverse(double_divide(identity,X_14)))),bind(Z,$fot(multiply(X_14,identity)))]]) ).

cnf(refute_0_190,plain,
    ( inverse(double_divide(identity,X_14)) != multiply(X_14,identity)
    | double_divide(double_divide(identity,X_14),identity) = multiply(X_14,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_14),identity),inverse(double_divide(identity,X_14))) )],[refute_0_188,refute_0_189]) ).

cnf(refute_0_191,plain,
    double_divide(double_divide(identity,X_14),identity) = multiply(X_14,identity),
    inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_14)),multiply(X_14,identity)) )],[refute_0_187,refute_0_190]) ).

cnf(refute_0_192,plain,
    double_divide(double_divide(identity,X_14),inverse(identity)) = double_divide(double_divide(identity,X_14),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_14),inverse(identity)))]]) ).

cnf(refute_0_193,plain,
    ( double_divide(double_divide(identity,X_14),inverse(identity)) != double_divide(double_divide(identity,X_14),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(identity,X_14),inverse(identity)) = double_divide(double_divide(identity,X_14),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_14),inverse(identity)),double_divide(double_divide(identity,X_14),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_194,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(identity,X_14),inverse(identity)) = double_divide(double_divide(identity,X_14),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_14),inverse(identity)),double_divide(double_divide(identity,X_14),inverse(identity))) )],[refute_0_192,refute_0_193]) ).

cnf(refute_0_195,plain,
    double_divide(double_divide(identity,X_14),inverse(identity)) = double_divide(double_divide(identity,X_14),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_105,refute_0_194]) ).

cnf(refute_0_196,plain,
    ( double_divide(double_divide(identity,X_14),identity) != multiply(X_14,identity)
    | double_divide(double_divide(identity,X_14),inverse(identity)) != double_divide(double_divide(identity,X_14),identity)
    | double_divide(double_divide(identity,X_14),inverse(identity)) = multiply(X_14,identity) ),
    inference(subst,[],[refute_0_111:[bind(X,$fot(double_divide(double_divide(identity,X_14),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,X_14),identity))),bind(Z,$fot(multiply(X_14,identity)))]]) ).

cnf(refute_0_197,plain,
    ( double_divide(double_divide(identity,X_14),identity) != multiply(X_14,identity)
    | double_divide(double_divide(identity,X_14),inverse(identity)) = multiply(X_14,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_14),inverse(identity)),double_divide(double_divide(identity,X_14),identity)) )],[refute_0_195,refute_0_196]) ).

cnf(refute_0_198,plain,
    double_divide(double_divide(identity,X_14),inverse(identity)) = multiply(X_14,identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_14),identity),multiply(X_14,identity)) )],[refute_0_191,refute_0_197]) ).

cnf(refute_0_199,plain,
    ( double_divide(double_divide(identity,X_14),inverse(identity)) != X_14
    | double_divide(double_divide(identity,X_14),inverse(identity)) != multiply(X_14,identity)
    | multiply(X_14,identity) = X_14 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_14),inverse(identity)),X_14) ),[0],$fot(multiply(X_14,identity))]]) ).

cnf(refute_0_200,plain,
    ( double_divide(double_divide(identity,X_14),inverse(identity)) != X_14
    | multiply(X_14,identity) = X_14 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_14),inverse(identity)),multiply(X_14,identity)) )],[refute_0_198,refute_0_199]) ).

cnf(refute_0_201,plain,
    multiply(X_14,identity) = X_14,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_14),inverse(identity)),X_14) )],[refute_0_92,refute_0_200]) ).

cnf(refute_0_202,plain,
    multiply(double_divide(identity,X_17),identity) = double_divide(identity,X_17),
    inference(subst,[],[refute_0_201:[bind(X_14,$fot(double_divide(identity,X_17)))]]) ).

cnf(refute_0_203,plain,
    ( multiply(double_divide(identity,X_17),identity) != double_divide(identity,X_17)
    | multiply(double_divide(identity,X_17),identity) != inverse(X_17)
    | double_divide(identity,X_17) = inverse(X_17) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,X_17),identity),inverse(X_17)) ),[0],$fot(double_divide(identity,X_17))]]) ).

cnf(refute_0_204,plain,
    ( multiply(double_divide(identity,X_17),identity) != inverse(X_17)
    | double_divide(identity,X_17) = inverse(X_17) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_17),identity),double_divide(identity,X_17)) )],[refute_0_202,refute_0_203]) ).

cnf(refute_0_205,plain,
    double_divide(identity,X_17) = inverse(X_17),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_17),identity),inverse(X_17)) )],[refute_0_186,refute_0_204]) ).

cnf(refute_0_206,plain,
    double_divide(identity,double_divide(X_10,inverse(X_11))) = inverse(double_divide(X_10,inverse(X_11))),
    inference(subst,[],[refute_0_205:[bind(X_17,$fot(double_divide(X_10,inverse(X_11))))]]) ).

cnf(refute_0_207,plain,
    ( double_divide(identity,double_divide(X_10,inverse(X_11))) != inverse(double_divide(X_10,inverse(X_11)))
    | inverse(double_divide(X_10,inverse(X_11))) != multiply(inverse(X_11),X_10)
    | double_divide(identity,double_divide(X_10,inverse(X_11))) = multiply(inverse(X_11),X_10) ),
    inference(subst,[],[refute_0_111:[bind(X,$fot(double_divide(identity,double_divide(X_10,inverse(X_11))))),bind(Y,$fot(inverse(double_divide(X_10,inverse(X_11))))),bind(Z,$fot(multiply(inverse(X_11),X_10)))]]) ).

cnf(refute_0_208,plain,
    ( inverse(double_divide(X_10,inverse(X_11))) != multiply(inverse(X_11),X_10)
    | double_divide(identity,double_divide(X_10,inverse(X_11))) = multiply(inverse(X_11),X_10) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_10,inverse(X_11))),inverse(double_divide(X_10,inverse(X_11)))) )],[refute_0_206,refute_0_207]) ).

cnf(refute_0_209,plain,
    double_divide(identity,double_divide(X_10,inverse(X_11))) = multiply(inverse(X_11),X_10),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,inverse(X_11))),multiply(inverse(X_11),X_10)) )],[refute_0_49,refute_0_208]) ).

cnf(refute_0_210,plain,
    double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))))]]) ).

cnf(refute_0_211,plain,
    ( double_divide(identity,double_divide(X_10,inverse(X_11))) != multiply(inverse(X_11),X_10)
    | double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) != double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11))))
    | double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(inverse(X_10),multiply(inverse(X_11),X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11))))) ),[1,1],$fot(multiply(inverse(X_11),X_10))]]) ).

cnf(refute_0_212,plain,
    ( double_divide(identity,double_divide(X_10,inverse(X_11))) != multiply(inverse(X_11),X_10)
    | double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(inverse(X_10),multiply(inverse(X_11),X_10)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11))))) )],[refute_0_210,refute_0_211]) ).

cnf(refute_0_213,plain,
    double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(inverse(X_10),multiply(inverse(X_11),X_10)),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_10,inverse(X_11))),multiply(inverse(X_11),X_10)) )],[refute_0_209,refute_0_212]) ).

cnf(refute_0_214,plain,
    double_divide(identity,X_10) = inverse(X_10),
    inference(subst,[],[refute_0_205:[bind(X_17,$fot(X_10))]]) ).

cnf(refute_0_215,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))))]]) ).

cnf(refute_0_216,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) != double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11))))
    | double_divide(identity,X_10) != inverse(X_10)
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11))))) ),[1,0],$fot(inverse(X_10))]]) ).

cnf(refute_0_217,plain,
    ( double_divide(identity,X_10) != inverse(X_10)
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11))))) )],[refute_0_215,refute_0_216]) ).

cnf(refute_0_218,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),
    inference(resolve,[$cnf( $equal(double_divide(identity,X_10),inverse(X_10)) )],[refute_0_214,refute_0_217]) ).

cnf(refute_0_219,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) != double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11))))
    | double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) != double_divide(inverse(X_10),multiply(inverse(X_11),X_10))
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(inverse(X_10),multiply(inverse(X_11),X_10)) ),
    inference(subst,[],[refute_0_111:[bind(X,$fot(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))))),bind(Y,$fot(double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))))),bind(Z,$fot(double_divide(inverse(X_10),multiply(inverse(X_11),X_10))))]]) ).

cnf(refute_0_220,plain,
    ( double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) != double_divide(inverse(X_10),multiply(inverse(X_11),X_10))
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(inverse(X_10),multiply(inverse(X_11),X_10)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11))))) )],[refute_0_218,refute_0_219]) ).

cnf(refute_0_221,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) = double_divide(inverse(X_10),multiply(inverse(X_11),X_10)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),double_divide(inverse(X_10),multiply(inverse(X_11),X_10))) )],[refute_0_213,refute_0_220]) ).

cnf(refute_0_222,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) != X_11
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) != double_divide(inverse(X_10),multiply(inverse(X_11),X_10))
    | double_divide(inverse(X_10),multiply(inverse(X_11),X_10)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),X_11) ),[0],$fot(double_divide(inverse(X_10),multiply(inverse(X_11),X_10)))]]) ).

cnf(refute_0_223,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))) != X_11
    | double_divide(inverse(X_10),multiply(inverse(X_11),X_10)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),double_divide(inverse(X_10),multiply(inverse(X_11),X_10))) )],[refute_0_221,refute_0_222]) ).

cnf(refute_0_224,plain,
    double_divide(inverse(X_10),multiply(inverse(X_11),X_10)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(X_10,inverse(X_11)))),X_11) )],[refute_0_46,refute_0_223]) ).

cnf(refute_0_225,plain,
    double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),multiply(inverse(X_30),multiply(inverse(inverse(X_30)),X_23))) = X_30,
    inference(subst,[],[refute_0_224:[bind(X_10,$fot(multiply(inverse(inverse(X_30)),X_23))),bind(X_11,$fot(X_30))]]) ).

cnf(refute_0_226,plain,
    double_divide(double_divide(identity,identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = X_11,
    inference(subst,[],[refute_0_25:[bind(A,$fot(identity)),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).

cnf(refute_0_227,plain,
    ( double_divide(double_divide(identity,identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) != X_11
    | double_divide(identity,identity) != inverse(identity)
    | double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),X_11) ),[0,0],$fot(inverse(identity))]]) ).

cnf(refute_0_228,plain,
    ( double_divide(double_divide(identity,identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) != X_11
    | double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_10,refute_0_227]) ).

cnf(refute_0_229,plain,
    double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),X_11) )],[refute_0_226,refute_0_228]) ).

cnf(refute_0_230,plain,
    inverse(double_divide(X_11,X_12)) = multiply(X_12,X_11),
    inference(subst,[],[refute_0_48:[bind(A,$fot(X_12)),bind(B,$fot(X_11))]]) ).

cnf(refute_0_231,plain,
    double_divide(double_divide(X_11,X_12),identity) = inverse(double_divide(X_11,X_12)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_11,X_12)))]]) ).

cnf(refute_0_232,plain,
    ( double_divide(double_divide(X_11,X_12),identity) != inverse(double_divide(X_11,X_12))
    | inverse(double_divide(X_11,X_12)) != multiply(X_12,X_11)
    | double_divide(double_divide(X_11,X_12),identity) = multiply(X_12,X_11) ),
    inference(subst,[],[refute_0_111:[bind(X,$fot(double_divide(double_divide(X_11,X_12),identity))),bind(Y,$fot(inverse(double_divide(X_11,X_12)))),bind(Z,$fot(multiply(X_12,X_11)))]]) ).

cnf(refute_0_233,plain,
    ( inverse(double_divide(X_11,X_12)) != multiply(X_12,X_11)
    | double_divide(double_divide(X_11,X_12),identity) = multiply(X_12,X_11) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,X_12),identity),inverse(double_divide(X_11,X_12))) )],[refute_0_231,refute_0_232]) ).

cnf(refute_0_234,plain,
    double_divide(double_divide(X_11,X_12),identity) = multiply(X_12,X_11),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_11,X_12)),multiply(X_12,X_11)) )],[refute_0_230,refute_0_233]) ).

cnf(refute_0_235,plain,
    double_divide(double_divide(X_11,X_12),inverse(identity)) = double_divide(double_divide(X_11,X_12),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,X_12),inverse(identity)))]]) ).

cnf(refute_0_236,plain,
    ( double_divide(double_divide(X_11,X_12),inverse(identity)) != double_divide(double_divide(X_11,X_12),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(X_11,X_12),inverse(identity)) = double_divide(double_divide(X_11,X_12),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(double_divide(X_11,X_12),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_237,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(X_11,X_12),inverse(identity)) = double_divide(double_divide(X_11,X_12),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(double_divide(X_11,X_12),inverse(identity))) )],[refute_0_235,refute_0_236]) ).

cnf(refute_0_238,plain,
    double_divide(double_divide(X_11,X_12),inverse(identity)) = double_divide(double_divide(X_11,X_12),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_105,refute_0_237]) ).

cnf(refute_0_239,plain,
    ( double_divide(double_divide(X_11,X_12),identity) != multiply(X_12,X_11)
    | double_divide(double_divide(X_11,X_12),inverse(identity)) != double_divide(double_divide(X_11,X_12),identity)
    | double_divide(double_divide(X_11,X_12),inverse(identity)) = multiply(X_12,X_11) ),
    inference(subst,[],[refute_0_111:[bind(X,$fot(double_divide(double_divide(X_11,X_12),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(X_11,X_12),identity))),bind(Z,$fot(multiply(X_12,X_11)))]]) ).

cnf(refute_0_240,plain,
    ( double_divide(double_divide(X_11,X_12),identity) != multiply(X_12,X_11)
    | double_divide(double_divide(X_11,X_12),inverse(identity)) = multiply(X_12,X_11) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(double_divide(X_11,X_12),identity)) )],[refute_0_238,refute_0_239]) ).

cnf(refute_0_241,plain,
    double_divide(double_divide(X_11,X_12),inverse(identity)) = multiply(X_12,X_11),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,X_12),identity),multiply(X_12,X_11)) )],[refute_0_234,refute_0_240]) ).

cnf(refute_0_242,plain,
    double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)) = double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)))]]) ).

cnf(refute_0_243,plain,
    ( double_divide(double_divide(X_11,X_12),inverse(identity)) != multiply(X_12,X_11)
    | double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)) != double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))
    | double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)) = double_divide(multiply(X_12,X_11),double_divide(identity,X_12)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) ),[1,0],$fot(multiply(X_12,X_11))]]) ).

cnf(refute_0_244,plain,
    ( double_divide(double_divide(X_11,X_12),inverse(identity)) != multiply(X_12,X_11)
    | double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)) = double_divide(multiply(X_12,X_11),double_divide(identity,X_12)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) )],[refute_0_242,refute_0_243]) ).

cnf(refute_0_245,plain,
    double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)) = double_divide(multiply(X_12,X_11),double_divide(identity,X_12)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,X_12),inverse(identity)),multiply(X_12,X_11)) )],[refute_0_241,refute_0_244]) ).

cnf(refute_0_246,plain,
    double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))))]]) ).

cnf(refute_0_247,plain,
    ( double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)) != double_divide(multiply(X_12,X_11),double_divide(identity,X_12))
    | double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) != double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)))
    | double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)))) ),[1,1],$fot(double_divide(multiply(X_12,X_11),double_divide(identity,X_12)))]]) ).

cnf(refute_0_248,plain,
    ( double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)) != double_divide(multiply(X_12,X_11),double_divide(identity,X_12))
    | double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)))) )],[refute_0_246,refute_0_247]) ).

cnf(refute_0_249,plain,
    double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)),double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) )],[refute_0_245,refute_0_248]) ).

cnf(refute_0_250,plain,
    double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))))]]) ).

cnf(refute_0_251,plain,
    ( double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) != double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)))
    | inverse(identity) != identity
    | double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_252,plain,
    ( inverse(identity) != identity
    | double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)))) )],[refute_0_250,refute_0_251]) ).

cnf(refute_0_253,plain,
    double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_105,refute_0_252]) ).

cnf(refute_0_254,plain,
    ( double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) != double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12)))
    | double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) != double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)))
    | double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) ),
    inference(subst,[],[refute_0_111:[bind(X,$fot(double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))))),bind(Y,$fot(double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))))),bind(Z,$fot(double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12)))))]]) ).

cnf(refute_0_255,plain,
    ( double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) != double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12)))
    | double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12)))) )],[refute_0_253,refute_0_254]) ).

cnf(refute_0_256,plain,
    double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) = double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12)))) )],[refute_0_249,refute_0_255]) ).

cnf(refute_0_257,plain,
    ( double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) != X_11
    | double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) != double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12)))
    | double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),X_11) ),[0],$fot(double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))))]]) ).

cnf(refute_0_258,plain,
    ( double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))) != X_11
    | double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12)))) )],[refute_0_256,refute_0_257]) ).

cnf(refute_0_259,plain,
    double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(identity,X_12))),X_11) )],[refute_0_229,refute_0_258]) ).

cnf(refute_0_260,plain,
    double_divide(identity,X_12) = inverse(X_12),
    inference(subst,[],[refute_0_205:[bind(X_17,$fot(X_12))]]) ).

cnf(refute_0_261,plain,
    multiply(double_divide(identity,X_12),multiply(X_12,X_11)) = multiply(double_divide(identity,X_12),multiply(X_12,X_11)),
    introduced(tautology,[refl,[$fot(multiply(double_divide(identity,X_12),multiply(X_12,X_11)))]]) ).

cnf(refute_0_262,plain,
    ( multiply(double_divide(identity,X_12),multiply(X_12,X_11)) != multiply(double_divide(identity,X_12),multiply(X_12,X_11))
    | double_divide(identity,X_12) != inverse(X_12)
    | multiply(double_divide(identity,X_12),multiply(X_12,X_11)) = multiply(inverse(X_12),multiply(X_12,X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,X_12),multiply(X_12,X_11)),multiply(double_divide(identity,X_12),multiply(X_12,X_11))) ),[1,0],$fot(inverse(X_12))]]) ).

cnf(refute_0_263,plain,
    ( double_divide(identity,X_12) != inverse(X_12)
    | multiply(double_divide(identity,X_12),multiply(X_12,X_11)) = multiply(inverse(X_12),multiply(X_12,X_11)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_12),multiply(X_12,X_11)),multiply(double_divide(identity,X_12),multiply(X_12,X_11))) )],[refute_0_261,refute_0_262]) ).

cnf(refute_0_264,plain,
    multiply(double_divide(identity,X_12),multiply(X_12,X_11)) = multiply(inverse(X_12),multiply(X_12,X_11)),
    inference(resolve,[$cnf( $equal(double_divide(identity,X_12),inverse(X_12)) )],[refute_0_260,refute_0_263]) ).

cnf(refute_0_265,plain,
    inverse(double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = multiply(double_divide(identity,X_12),multiply(X_12,X_11)),
    inference(subst,[],[refute_0_48:[bind(A,$fot(double_divide(identity,X_12))),bind(B,$fot(multiply(X_12,X_11)))]]) ).

cnf(refute_0_266,plain,
    double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = inverse(double_divide(multiply(X_12,X_11),double_divide(identity,X_12))),
    inference(subst,[],[refute_0_205:[bind(X_17,$fot(double_divide(multiply(X_12,X_11),double_divide(identity,X_12))))]]) ).

cnf(refute_0_267,plain,
    ( double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) != inverse(double_divide(multiply(X_12,X_11),double_divide(identity,X_12)))
    | inverse(double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) != multiply(double_divide(identity,X_12),multiply(X_12,X_11))
    | double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = multiply(double_divide(identity,X_12),multiply(X_12,X_11)) ),
    inference(subst,[],[refute_0_111:[bind(X,$fot(double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))))),bind(Y,$fot(inverse(double_divide(multiply(X_12,X_11),double_divide(identity,X_12))))),bind(Z,$fot(multiply(double_divide(identity,X_12),multiply(X_12,X_11))))]]) ).

cnf(refute_0_268,plain,
    ( inverse(double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) != multiply(double_divide(identity,X_12),multiply(X_12,X_11))
    | double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = multiply(double_divide(identity,X_12),multiply(X_12,X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))),inverse(double_divide(multiply(X_12,X_11),double_divide(identity,X_12)))) )],[refute_0_266,refute_0_267]) ).

cnf(refute_0_269,plain,
    double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = multiply(double_divide(identity,X_12),multiply(X_12,X_11)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(X_12,X_11),double_divide(identity,X_12))),multiply(double_divide(identity,X_12),multiply(X_12,X_11))) )],[refute_0_265,refute_0_268]) ).

cnf(refute_0_270,plain,
    ( multiply(double_divide(identity,X_12),multiply(X_12,X_11)) != multiply(inverse(X_12),multiply(X_12,X_11))
    | double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) != multiply(double_divide(identity,X_12),multiply(X_12,X_11))
    | double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = multiply(inverse(X_12),multiply(X_12,X_11)) ),
    inference(subst,[],[refute_0_111:[bind(X,$fot(double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))))),bind(Y,$fot(multiply(double_divide(identity,X_12),multiply(X_12,X_11)))),bind(Z,$fot(multiply(inverse(X_12),multiply(X_12,X_11))))]]) ).

cnf(refute_0_271,plain,
    ( multiply(double_divide(identity,X_12),multiply(X_12,X_11)) != multiply(inverse(X_12),multiply(X_12,X_11))
    | double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = multiply(inverse(X_12),multiply(X_12,X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))),multiply(double_divide(identity,X_12),multiply(X_12,X_11))) )],[refute_0_269,refute_0_270]) ).

cnf(refute_0_272,plain,
    double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))) = multiply(inverse(X_12),multiply(X_12,X_11)),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_12),multiply(X_12,X_11)),multiply(inverse(X_12),multiply(X_12,X_11))) )],[refute_0_264,refute_0_271]) ).

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

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

cnf(refute_0_275,plain,
    multiply(inverse(X_12),multiply(X_12,X_11)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(X_12,X_11),double_divide(identity,X_12))),X_11) )],[refute_0_259,refute_0_274]) ).

cnf(refute_0_276,plain,
    multiply(inverse(inverse(X_11)),multiply(inverse(X_11),X_23)) = X_23,
    inference(subst,[],[refute_0_275:[bind(X_11,$fot(X_23)),bind(X_12,$fot(inverse(X_11)))]]) ).

cnf(refute_0_277,plain,
    double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,inverse(X_11)))) = X_11,
    inference(subst,[],[refute_0_46:[bind(X_10,$fot(identity))]]) ).

cnf(refute_0_278,plain,
    double_divide(identity,double_divide(identity,inverse(X_11))) = inverse(X_11),
    inference(subst,[],[refute_0_182:[bind(X_14,$fot(inverse(X_11)))]]) ).

cnf(refute_0_279,plain,
    ( double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,inverse(X_11)))) != X_11
    | double_divide(identity,double_divide(identity,inverse(X_11))) != inverse(X_11)
    | double_divide(double_divide(identity,identity),inverse(X_11)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,inverse(X_11)))),X_11) ),[0,1],$fot(inverse(X_11))]]) ).

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

cnf(refute_0_281,plain,
    double_divide(double_divide(identity,identity),inverse(X_11)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,inverse(X_11)))),X_11) )],[refute_0_277,refute_0_280]) ).

cnf(refute_0_282,plain,
    double_divide(identity,inverse(X_11)) = inverse(inverse(X_11)),
    inference(subst,[],[refute_0_205:[bind(X_17,$fot(inverse(X_11)))]]) ).

cnf(refute_0_283,plain,
    ( double_divide(identity,identity) != inverse(identity)
    | inverse(identity) != identity
    | double_divide(identity,identity) = identity ),
    inference(subst,[],[refute_0_111:[bind(X,$fot(double_divide(identity,identity))),bind(Y,$fot(inverse(identity))),bind(Z,$fot(identity))]]) ).

cnf(refute_0_284,plain,
    ( inverse(identity) != identity
    | double_divide(identity,identity) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_10,refute_0_283]) ).

cnf(refute_0_285,plain,
    double_divide(identity,identity) = identity,
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_105,refute_0_284]) ).

cnf(refute_0_286,plain,
    double_divide(double_divide(identity,identity),inverse(X_11)) = double_divide(double_divide(identity,identity),inverse(X_11)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,identity),inverse(X_11)))]]) ).

cnf(refute_0_287,plain,
    ( double_divide(double_divide(identity,identity),inverse(X_11)) != double_divide(double_divide(identity,identity),inverse(X_11))
    | double_divide(identity,identity) != identity
    | double_divide(double_divide(identity,identity),inverse(X_11)) = double_divide(identity,inverse(X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(X_11)),double_divide(double_divide(identity,identity),inverse(X_11))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_288,plain,
    ( double_divide(identity,identity) != identity
    | double_divide(double_divide(identity,identity),inverse(X_11)) = double_divide(identity,inverse(X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(X_11)),double_divide(double_divide(identity,identity),inverse(X_11))) )],[refute_0_286,refute_0_287]) ).

cnf(refute_0_289,plain,
    double_divide(double_divide(identity,identity),inverse(X_11)) = double_divide(identity,inverse(X_11)),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),identity) )],[refute_0_285,refute_0_288]) ).

cnf(refute_0_290,plain,
    ( double_divide(double_divide(identity,identity),inverse(X_11)) != double_divide(identity,inverse(X_11))
    | double_divide(identity,inverse(X_11)) != inverse(inverse(X_11))
    | double_divide(double_divide(identity,identity),inverse(X_11)) = inverse(inverse(X_11)) ),
    inference(subst,[],[refute_0_111:[bind(X,$fot(double_divide(double_divide(identity,identity),inverse(X_11)))),bind(Y,$fot(double_divide(identity,inverse(X_11)))),bind(Z,$fot(inverse(inverse(X_11))))]]) ).

cnf(refute_0_291,plain,
    ( double_divide(identity,inverse(X_11)) != inverse(inverse(X_11))
    | double_divide(double_divide(identity,identity),inverse(X_11)) = inverse(inverse(X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(X_11)),double_divide(identity,inverse(X_11))) )],[refute_0_289,refute_0_290]) ).

cnf(refute_0_292,plain,
    double_divide(double_divide(identity,identity),inverse(X_11)) = inverse(inverse(X_11)),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_11)),inverse(inverse(X_11))) )],[refute_0_282,refute_0_291]) ).

cnf(refute_0_293,plain,
    ( double_divide(double_divide(identity,identity),inverse(X_11)) != X_11
    | double_divide(double_divide(identity,identity),inverse(X_11)) != inverse(inverse(X_11))
    | inverse(inverse(X_11)) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(X_11)),X_11) ),[0],$fot(inverse(inverse(X_11)))]]) ).

cnf(refute_0_294,plain,
    ( double_divide(double_divide(identity,identity),inverse(X_11)) != X_11
    | inverse(inverse(X_11)) = X_11 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(X_11)),inverse(inverse(X_11))) )],[refute_0_292,refute_0_293]) ).

cnf(refute_0_295,plain,
    inverse(inverse(X_11)) = X_11,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(X_11)),X_11) )],[refute_0_281,refute_0_294]) ).

cnf(refute_0_296,plain,
    ( multiply(inverse(inverse(X_11)),multiply(inverse(X_11),X_23)) != X_23
    | inverse(inverse(X_11)) != X_11
    | multiply(X_11,multiply(inverse(X_11),X_23)) = X_23 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_11)),multiply(inverse(X_11),X_23)),X_23) ),[0,0],$fot(X_11)]]) ).

cnf(refute_0_297,plain,
    ( multiply(inverse(inverse(X_11)),multiply(inverse(X_11),X_23)) != X_23
    | multiply(X_11,multiply(inverse(X_11),X_23)) = X_23 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_11)),X_11) )],[refute_0_295,refute_0_296]) ).

cnf(refute_0_298,plain,
    multiply(X_11,multiply(inverse(X_11),X_23)) = X_23,
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_11)),multiply(inverse(X_11),X_23)),X_23) )],[refute_0_276,refute_0_297]) ).

cnf(refute_0_299,plain,
    multiply(inverse(X_30),multiply(inverse(inverse(X_30)),X_23)) = X_23,
    inference(subst,[],[refute_0_298:[bind(X_11,$fot(inverse(X_30)))]]) ).

cnf(refute_0_300,plain,
    ( multiply(inverse(X_30),multiply(inverse(inverse(X_30)),X_23)) != X_23
    | double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),multiply(inverse(X_30),multiply(inverse(inverse(X_30)),X_23))) != X_30
    | double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23) = X_30 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),multiply(inverse(X_30),multiply(inverse(inverse(X_30)),X_23))),X_30) ),[0,1],$fot(X_23)]]) ).

cnf(refute_0_301,plain,
    ( double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),multiply(inverse(X_30),multiply(inverse(inverse(X_30)),X_23))) != X_30
    | double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23) = X_30 ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_30),multiply(inverse(inverse(X_30)),X_23)),X_23) )],[refute_0_299,refute_0_300]) ).

cnf(refute_0_302,plain,
    double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23) = X_30,
    inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),multiply(inverse(X_30),multiply(inverse(inverse(X_30)),X_23))),X_30) )],[refute_0_225,refute_0_301]) ).

cnf(refute_0_303,plain,
    inverse(inverse(X_30)) = X_30,
    inference(subst,[],[refute_0_295:[bind(X_11,$fot(X_30))]]) ).

cnf(refute_0_304,plain,
    double_divide(X_23,inverse(inverse(X_30))) = double_divide(X_23,inverse(inverse(X_30))),
    introduced(tautology,[refl,[$fot(double_divide(X_23,inverse(inverse(X_30))))]]) ).

cnf(refute_0_305,plain,
    ( double_divide(X_23,inverse(inverse(X_30))) != double_divide(X_23,inverse(inverse(X_30)))
    | inverse(inverse(X_30)) != X_30
    | double_divide(X_23,inverse(inverse(X_30))) = double_divide(X_23,X_30) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_23,inverse(inverse(X_30))),double_divide(X_23,inverse(inverse(X_30)))) ),[1,1],$fot(X_30)]]) ).

cnf(refute_0_306,plain,
    ( inverse(inverse(X_30)) != X_30
    | double_divide(X_23,inverse(inverse(X_30))) = double_divide(X_23,X_30) ),
    inference(resolve,[$cnf( $equal(double_divide(X_23,inverse(inverse(X_30))),double_divide(X_23,inverse(inverse(X_30)))) )],[refute_0_304,refute_0_305]) ).

cnf(refute_0_307,plain,
    double_divide(X_23,inverse(inverse(X_30))) = double_divide(X_23,X_30),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_30)),X_30) )],[refute_0_303,refute_0_306]) ).

cnf(refute_0_308,plain,
    inverse(inverse(double_divide(B,A))) = double_divide(B,A),
    inference(subst,[],[refute_0_295:[bind(X_11,$fot(double_divide(B,A)))]]) ).

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

cnf(refute_0_310,plain,
    ( inverse(inverse(double_divide(B,A))) != double_divide(B,A)
    | inverse(multiply(A,B)) = double_divide(B,A) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_48,refute_0_309]) ).

cnf(refute_0_311,plain,
    inverse(multiply(A,B)) = double_divide(B,A),
    inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(B,A))),double_divide(B,A)) )],[refute_0_308,refute_0_310]) ).

cnf(refute_0_312,plain,
    inverse(multiply(inverse(inverse(X_30)),X_23)) = double_divide(X_23,inverse(inverse(X_30))),
    inference(subst,[],[refute_0_311:[bind(A,$fot(inverse(inverse(X_30)))),bind(B,$fot(X_23))]]) ).

cnf(refute_0_313,plain,
    ( double_divide(X_23,inverse(inverse(X_30))) != double_divide(X_23,X_30)
    | inverse(multiply(inverse(inverse(X_30)),X_23)) != double_divide(X_23,inverse(inverse(X_30)))
    | inverse(multiply(inverse(inverse(X_30)),X_23)) = double_divide(X_23,X_30) ),
    inference(subst,[],[refute_0_111:[bind(X,$fot(inverse(multiply(inverse(inverse(X_30)),X_23)))),bind(Y,$fot(double_divide(X_23,inverse(inverse(X_30))))),bind(Z,$fot(double_divide(X_23,X_30)))]]) ).

cnf(refute_0_314,plain,
    ( double_divide(X_23,inverse(inverse(X_30))) != double_divide(X_23,X_30)
    | inverse(multiply(inverse(inverse(X_30)),X_23)) = double_divide(X_23,X_30) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_30)),X_23)),double_divide(X_23,inverse(inverse(X_30)))) )],[refute_0_312,refute_0_313]) ).

cnf(refute_0_315,plain,
    inverse(multiply(inverse(inverse(X_30)),X_23)) = double_divide(X_23,X_30),
    inference(resolve,[$cnf( $equal(double_divide(X_23,inverse(inverse(X_30))),double_divide(X_23,X_30)) )],[refute_0_307,refute_0_314]) ).

cnf(refute_0_316,plain,
    double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23) = double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23),
    introduced(tautology,[refl,[$fot(double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23))]]) ).

cnf(refute_0_317,plain,
    ( double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23) != double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23)
    | inverse(multiply(inverse(inverse(X_30)),X_23)) != double_divide(X_23,X_30)
    | double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23) = double_divide(double_divide(X_23,X_30),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23),double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23)) ),[1,0],$fot(double_divide(X_23,X_30))]]) ).

cnf(refute_0_318,plain,
    ( inverse(multiply(inverse(inverse(X_30)),X_23)) != double_divide(X_23,X_30)
    | double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23) = double_divide(double_divide(X_23,X_30),X_23) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23),double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23)) )],[refute_0_316,refute_0_317]) ).

cnf(refute_0_319,plain,
    double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23) = double_divide(double_divide(X_23,X_30),X_23),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_30)),X_23)),double_divide(X_23,X_30)) )],[refute_0_315,refute_0_318]) ).

cnf(refute_0_320,plain,
    ( double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23) != X_30
    | double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23) != double_divide(double_divide(X_23,X_30),X_23)
    | double_divide(double_divide(X_23,X_30),X_23) = X_30 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23),X_30) ),[0],$fot(double_divide(double_divide(X_23,X_30),X_23))]]) ).

cnf(refute_0_321,plain,
    ( double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23) != X_30
    | double_divide(double_divide(X_23,X_30),X_23) = X_30 ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23),double_divide(double_divide(X_23,X_30),X_23)) )],[refute_0_319,refute_0_320]) ).

cnf(refute_0_322,plain,
    double_divide(double_divide(X_23,X_30),X_23) = X_30,
    inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(inverse(X_30)),X_23)),X_23),X_30) )],[refute_0_302,refute_0_321]) ).

cnf(refute_0_323,plain,
    double_divide(double_divide(A,X_32),A) = X_32,
    inference(subst,[],[refute_0_322:[bind(X_23,$fot(A)),bind(X_30,$fot(X_32))]]) ).

cnf(refute_0_324,plain,
    ( multiply(A,double_divide(A,X_32)) != inverse(double_divide(double_divide(A,X_32),A))
    | double_divide(double_divide(A,X_32),A) != X_32
    | multiply(A,double_divide(A,X_32)) = inverse(X_32) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(A,double_divide(A,X_32)),inverse(double_divide(double_divide(A,X_32),A))) ),[1,0],$fot(X_32)]]) ).

cnf(refute_0_325,plain,
    ( multiply(A,double_divide(A,X_32)) != inverse(double_divide(double_divide(A,X_32),A))
    | multiply(A,double_divide(A,X_32)) = inverse(X_32) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,X_32),A),X_32) )],[refute_0_323,refute_0_324]) ).

cnf(refute_0_326,plain,
    multiply(A,double_divide(A,X_32)) = inverse(X_32),
    inference(resolve,[$cnf( $equal(multiply(A,double_divide(A,X_32)),inverse(double_divide(double_divide(A,X_32),A))) )],[refute_0_9,refute_0_325]) ).

cnf(refute_0_327,plain,
    multiply(double_divide(X_39,X_30),double_divide(double_divide(X_39,X_30),X_39)) = inverse(X_39),
    inference(subst,[],[refute_0_326:[bind(A,$fot(double_divide(X_39,X_30))),bind(X_32,$fot(X_39))]]) ).

cnf(refute_0_328,plain,
    double_divide(double_divide(X_39,X_30),X_39) = X_30,
    inference(subst,[],[refute_0_322:[bind(X_23,$fot(X_39))]]) ).

cnf(refute_0_329,plain,
    ( multiply(double_divide(X_39,X_30),double_divide(double_divide(X_39,X_30),X_39)) != inverse(X_39)
    | double_divide(double_divide(X_39,X_30),X_39) != X_30
    | multiply(double_divide(X_39,X_30),X_30) = inverse(X_39) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_39,X_30),double_divide(double_divide(X_39,X_30),X_39)),inverse(X_39)) ),[0,1],$fot(X_30)]]) ).

cnf(refute_0_330,plain,
    ( multiply(double_divide(X_39,X_30),double_divide(double_divide(X_39,X_30),X_39)) != inverse(X_39)
    | multiply(double_divide(X_39,X_30),X_30) = inverse(X_39) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_39,X_30),X_39),X_30) )],[refute_0_328,refute_0_329]) ).

cnf(refute_0_331,plain,
    multiply(double_divide(X_39,X_30),X_30) = inverse(X_39),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_39,X_30),double_divide(double_divide(X_39,X_30),X_39)),inverse(X_39)) )],[refute_0_327,refute_0_330]) ).

cnf(refute_0_332,plain,
    multiply(double_divide(multiply(double_divide(X_30,X_58),multiply(X_58,X_57)),X_30),X_30) = inverse(multiply(double_divide(X_30,X_58),multiply(X_58,X_57))),
    inference(subst,[],[refute_0_331:[bind(X_39,$fot(multiply(double_divide(X_30,X_58),multiply(X_58,X_57))))]]) ).

cnf(refute_0_333,plain,
    multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) = inverse(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)))),
    inference(subst,[],[refute_0_8:[bind(A,$fot(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)))),bind(B,$fot(double_divide(identity,X_10)))]]) ).

cnf(refute_0_334,plain,
    double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12))) = X_11,
    inference(subst,[],[refute_0_25:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).

cnf(refute_0_335,plain,
    ( multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) != inverse(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12))))
    | double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12))) != X_11
    | multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) = inverse(X_11) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)),inverse(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12))))) ),[1,0],$fot(X_11)]]) ).

cnf(refute_0_336,plain,
    ( multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) != inverse(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12))))
    | multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) = inverse(X_11) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12))),X_11) )],[refute_0_334,refute_0_335]) ).

cnf(refute_0_337,plain,
    multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) = inverse(X_11),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)),inverse(double_divide(double_divide(identity,X_10),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12))))) )],[refute_0_333,refute_0_336]) ).

cnf(refute_0_338,plain,
    double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)) = double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)))]]) ).

cnf(refute_0_339,plain,
    ( double_divide(double_divide(X_11,X_12),inverse(identity)) != multiply(X_12,X_11)
    | double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)) != double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12))
    | double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)) = double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12))) ),[1,0],$fot(multiply(X_12,X_11))]]) ).

cnf(refute_0_340,plain,
    ( double_divide(double_divide(X_11,X_12),inverse(identity)) != multiply(X_12,X_11)
    | double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)) = double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12))) )],[refute_0_338,refute_0_339]) ).

cnf(refute_0_341,plain,
    double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)) = double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,X_12),inverse(identity)),multiply(X_12,X_11)) )],[refute_0_241,refute_0_340]) ).

cnf(refute_0_342,plain,
    multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) = multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)),
    introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)))]]) ).

cnf(refute_0_343,plain,
    ( multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) != multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10))
    | double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)) != double_divide(multiply(X_12,X_11),double_divide(X_10,X_12))
    | multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) = multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)),multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10))) ),[1,0],$fot(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)))]]) ).

cnf(refute_0_344,plain,
    ( double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)) != double_divide(multiply(X_12,X_11),double_divide(X_10,X_12))
    | multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) = multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)),multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10))) )],[refute_0_342,refute_0_343]) ).

cnf(refute_0_345,plain,
    multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) = multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(multiply(X_12,X_11),double_divide(X_10,X_12))) )],[refute_0_341,refute_0_344]) ).

cnf(refute_0_346,plain,
    ( multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) != multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10))
    | multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) != inverse(X_11)
    | multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) = inverse(X_11) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)),inverse(X_11)) ),[0],$fot(multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)))]]) ).

cnf(refute_0_347,plain,
    ( multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)) != inverse(X_11)
    | multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) = inverse(X_11) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)),multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10))) )],[refute_0_345,refute_0_346]) ).

cnf(refute_0_348,plain,
    multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) = inverse(X_11),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(X_11,X_12),inverse(identity)),double_divide(X_10,X_12)),double_divide(identity,X_10)),inverse(X_11)) )],[refute_0_337,refute_0_347]) ).

cnf(refute_0_349,plain,
    multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) = multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)),
    introduced(tautology,[refl,[$fot(multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)))]]) ).

cnf(refute_0_350,plain,
    ( multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) != multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10))
    | double_divide(identity,X_10) != inverse(X_10)
    | multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) = multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)),multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10))) ),[1,1],$fot(inverse(X_10))]]) ).

cnf(refute_0_351,plain,
    ( double_divide(identity,X_10) != inverse(X_10)
    | multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) = multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)),multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10))) )],[refute_0_349,refute_0_350]) ).

cnf(refute_0_352,plain,
    multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) = multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)),
    inference(resolve,[$cnf( $equal(double_divide(identity,X_10),inverse(X_10)) )],[refute_0_214,refute_0_351]) ).

cnf(refute_0_353,plain,
    ( multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) != multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10))
    | multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) != inverse(X_11)
    | multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)) = inverse(X_11) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)),inverse(X_11)) ),[0],$fot(multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)))]]) ).

cnf(refute_0_354,plain,
    ( multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)) != inverse(X_11)
    | multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)) = inverse(X_11) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)),multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10))) )],[refute_0_352,refute_0_353]) ).

cnf(refute_0_355,plain,
    multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)) = inverse(X_11),
    inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),double_divide(identity,X_10)),inverse(X_11)) )],[refute_0_348,refute_0_354]) ).

cnf(refute_0_356,plain,
    multiply(double_divide(B,A),multiply(inverse(double_divide(B,A)),X_26)) = X_26,
    inference(subst,[],[refute_0_298:[bind(X_11,$fot(double_divide(B,A))),bind(X_23,$fot(X_26))]]) ).

cnf(refute_0_357,plain,
    ( multiply(double_divide(B,A),multiply(inverse(double_divide(B,A)),X_26)) != X_26
    | inverse(double_divide(B,A)) != multiply(A,B)
    | multiply(double_divide(B,A),multiply(multiply(A,B),X_26)) = X_26 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(B,A),multiply(inverse(double_divide(B,A)),X_26)),X_26) ),[0,1,0],$fot(multiply(A,B))]]) ).

cnf(refute_0_358,plain,
    ( multiply(double_divide(B,A),multiply(inverse(double_divide(B,A)),X_26)) != X_26
    | multiply(double_divide(B,A),multiply(multiply(A,B),X_26)) = X_26 ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_48,refute_0_357]) ).

cnf(refute_0_359,plain,
    multiply(double_divide(B,A),multiply(multiply(A,B),X_26)) = X_26,
    inference(resolve,[$cnf( $equal(multiply(double_divide(B,A),multiply(inverse(double_divide(B,A)),X_26)),X_26) )],[refute_0_356,refute_0_358]) ).

cnf(refute_0_360,plain,
    multiply(double_divide(X_50,X_49),multiply(multiply(X_49,X_50),double_divide(multiply(X_49,X_50),X_32))) = double_divide(multiply(X_49,X_50),X_32),
    inference(subst,[],[refute_0_359:[bind(A,$fot(X_49)),bind(B,$fot(X_50)),bind(X_26,$fot(double_divide(multiply(X_49,X_50),X_32)))]]) ).

cnf(refute_0_361,plain,
    multiply(multiply(X_49,X_50),double_divide(multiply(X_49,X_50),X_32)) = inverse(X_32),
    inference(subst,[],[refute_0_326:[bind(A,$fot(multiply(X_49,X_50)))]]) ).

cnf(refute_0_362,plain,
    ( multiply(multiply(X_49,X_50),double_divide(multiply(X_49,X_50),X_32)) != inverse(X_32)
    | multiply(double_divide(X_50,X_49),multiply(multiply(X_49,X_50),double_divide(multiply(X_49,X_50),X_32))) != double_divide(multiply(X_49,X_50),X_32)
    | multiply(double_divide(X_50,X_49),inverse(X_32)) = double_divide(multiply(X_49,X_50),X_32) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_50,X_49),multiply(multiply(X_49,X_50),double_divide(multiply(X_49,X_50),X_32))),double_divide(multiply(X_49,X_50),X_32)) ),[0,1],$fot(inverse(X_32))]]) ).

cnf(refute_0_363,plain,
    ( multiply(double_divide(X_50,X_49),multiply(multiply(X_49,X_50),double_divide(multiply(X_49,X_50),X_32))) != double_divide(multiply(X_49,X_50),X_32)
    | multiply(double_divide(X_50,X_49),inverse(X_32)) = double_divide(multiply(X_49,X_50),X_32) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_49,X_50),double_divide(multiply(X_49,X_50),X_32)),inverse(X_32)) )],[refute_0_361,refute_0_362]) ).

cnf(refute_0_364,plain,
    multiply(double_divide(X_50,X_49),inverse(X_32)) = double_divide(multiply(X_49,X_50),X_32),
    inference(resolve,[$cnf( $equal(multiply(double_divide(X_50,X_49),multiply(multiply(X_49,X_50),double_divide(multiply(X_49,X_50),X_32))),double_divide(multiply(X_49,X_50),X_32)) )],[refute_0_360,refute_0_363]) ).

cnf(refute_0_365,plain,
    multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)) = double_divide(multiply(double_divide(X_10,X_12),multiply(X_12,X_11)),X_10),
    inference(subst,[],[refute_0_364:[bind(X_32,$fot(X_10)),bind(X_49,$fot(double_divide(X_10,X_12))),bind(X_50,$fot(multiply(X_12,X_11)))]]) ).

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

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

cnf(refute_0_368,plain,
    double_divide(multiply(double_divide(X_10,X_12),multiply(X_12,X_11)),X_10) = inverse(X_11),
    inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_12,X_11),double_divide(X_10,X_12)),inverse(X_10)),inverse(X_11)) )],[refute_0_355,refute_0_367]) ).

cnf(refute_0_369,plain,
    double_divide(multiply(double_divide(X_30,X_58),multiply(X_58,X_57)),X_30) = inverse(X_57),
    inference(subst,[],[refute_0_368:[bind(X_10,$fot(X_30)),bind(X_11,$fot(X_57)),bind(X_12,$fot(X_58))]]) ).

cnf(refute_0_370,plain,
    ( multiply(double_divide(multiply(double_divide(X_30,X_58),multiply(X_58,X_57)),X_30),X_30) != inverse(multiply(double_divide(X_30,X_58),multiply(X_58,X_57)))
    | double_divide(multiply(double_divide(X_30,X_58),multiply(X_58,X_57)),X_30) != inverse(X_57)
    | multiply(inverse(X_57),X_30) = inverse(multiply(double_divide(X_30,X_58),multiply(X_58,X_57))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(double_divide(X_30,X_58),multiply(X_58,X_57)),X_30),X_30),inverse(multiply(double_divide(X_30,X_58),multiply(X_58,X_57)))) ),[0,0],$fot(inverse(X_57))]]) ).

cnf(refute_0_371,plain,
    ( multiply(double_divide(multiply(double_divide(X_30,X_58),multiply(X_58,X_57)),X_30),X_30) != inverse(multiply(double_divide(X_30,X_58),multiply(X_58,X_57)))
    | multiply(inverse(X_57),X_30) = inverse(multiply(double_divide(X_30,X_58),multiply(X_58,X_57))) ),
    inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_30,X_58),multiply(X_58,X_57)),X_30),inverse(X_57)) )],[refute_0_369,refute_0_370]) ).

cnf(refute_0_372,plain,
    multiply(inverse(X_57),X_30) = inverse(multiply(double_divide(X_30,X_58),multiply(X_58,X_57))),
    inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(double_divide(X_30,X_58),multiply(X_58,X_57)),X_30),X_30),inverse(multiply(double_divide(X_30,X_58),multiply(X_58,X_57)))) )],[refute_0_332,refute_0_371]) ).

cnf(refute_0_373,plain,
    inverse(multiply(double_divide(X_30,X_58),multiply(X_58,X_57))) = double_divide(multiply(X_58,X_57),double_divide(X_30,X_58)),
    inference(subst,[],[refute_0_311:[bind(A,$fot(double_divide(X_30,X_58))),bind(B,$fot(multiply(X_58,X_57)))]]) ).

cnf(refute_0_374,plain,
    ( multiply(inverse(X_57),X_30) != inverse(multiply(double_divide(X_30,X_58),multiply(X_58,X_57)))
    | inverse(multiply(double_divide(X_30,X_58),multiply(X_58,X_57))) != double_divide(multiply(X_58,X_57),double_divide(X_30,X_58))
    | multiply(inverse(X_57),X_30) = double_divide(multiply(X_58,X_57),double_divide(X_30,X_58)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_57),X_30),double_divide(multiply(X_58,X_57),double_divide(X_30,X_58))) ),[0],$fot(inverse(multiply(double_divide(X_30,X_58),multiply(X_58,X_57))))]]) ).

cnf(refute_0_375,plain,
    ( multiply(inverse(X_57),X_30) != inverse(multiply(double_divide(X_30,X_58),multiply(X_58,X_57)))
    | multiply(inverse(X_57),X_30) = double_divide(multiply(X_58,X_57),double_divide(X_30,X_58)) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(X_30,X_58),multiply(X_58,X_57))),double_divide(multiply(X_58,X_57),double_divide(X_30,X_58))) )],[refute_0_373,refute_0_374]) ).

cnf(refute_0_376,plain,
    multiply(inverse(X_57),X_30) = double_divide(multiply(X_58,X_57),double_divide(X_30,X_58)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_57),X_30),inverse(multiply(double_divide(X_30,X_58),multiply(X_58,X_57)))) )],[refute_0_372,refute_0_375]) ).

cnf(refute_0_377,plain,
    multiply(inverse(double_divide(X_83,X_32)),X_81) = double_divide(multiply(X_83,double_divide(X_83,X_32)),double_divide(X_81,X_83)),
    inference(subst,[],[refute_0_376:[bind(X_30,$fot(X_81)),bind(X_57,$fot(double_divide(X_83,X_32))),bind(X_58,$fot(X_83))]]) ).

cnf(refute_0_378,plain,
    multiply(X_83,double_divide(X_83,X_32)) = inverse(X_32),
    inference(subst,[],[refute_0_326:[bind(A,$fot(X_83))]]) ).

cnf(refute_0_379,plain,
    ( multiply(X_83,double_divide(X_83,X_32)) != inverse(X_32)
    | multiply(inverse(double_divide(X_83,X_32)),X_81) != double_divide(multiply(X_83,double_divide(X_83,X_32)),double_divide(X_81,X_83))
    | multiply(inverse(double_divide(X_83,X_32)),X_81) = double_divide(inverse(X_32),double_divide(X_81,X_83)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_83,X_32)),X_81),double_divide(multiply(X_83,double_divide(X_83,X_32)),double_divide(X_81,X_83))) ),[1,0],$fot(inverse(X_32))]]) ).

cnf(refute_0_380,plain,
    ( multiply(inverse(double_divide(X_83,X_32)),X_81) != double_divide(multiply(X_83,double_divide(X_83,X_32)),double_divide(X_81,X_83))
    | multiply(inverse(double_divide(X_83,X_32)),X_81) = double_divide(inverse(X_32),double_divide(X_81,X_83)) ),
    inference(resolve,[$cnf( $equal(multiply(X_83,double_divide(X_83,X_32)),inverse(X_32)) )],[refute_0_378,refute_0_379]) ).

cnf(refute_0_381,plain,
    multiply(inverse(double_divide(X_83,X_32)),X_81) = double_divide(inverse(X_32),double_divide(X_81,X_83)),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_83,X_32)),X_81),double_divide(multiply(X_83,double_divide(X_83,X_32)),double_divide(X_81,X_83))) )],[refute_0_377,refute_0_380]) ).

cnf(refute_0_382,plain,
    inverse(double_divide(X_83,X_32)) = multiply(X_32,X_83),
    inference(subst,[],[refute_0_48:[bind(A,$fot(X_32)),bind(B,$fot(X_83))]]) ).

cnf(refute_0_383,plain,
    multiply(inverse(double_divide(X_83,X_32)),X_81) = multiply(inverse(double_divide(X_83,X_32)),X_81),
    introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_83,X_32)),X_81))]]) ).

cnf(refute_0_384,plain,
    ( multiply(inverse(double_divide(X_83,X_32)),X_81) != multiply(inverse(double_divide(X_83,X_32)),X_81)
    | inverse(double_divide(X_83,X_32)) != multiply(X_32,X_83)
    | multiply(inverse(double_divide(X_83,X_32)),X_81) = multiply(multiply(X_32,X_83),X_81) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_83,X_32)),X_81),multiply(inverse(double_divide(X_83,X_32)),X_81)) ),[1,0],$fot(multiply(X_32,X_83))]]) ).

cnf(refute_0_385,plain,
    ( inverse(double_divide(X_83,X_32)) != multiply(X_32,X_83)
    | multiply(inverse(double_divide(X_83,X_32)),X_81) = multiply(multiply(X_32,X_83),X_81) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_83,X_32)),X_81),multiply(inverse(double_divide(X_83,X_32)),X_81)) )],[refute_0_383,refute_0_384]) ).

cnf(refute_0_386,plain,
    multiply(inverse(double_divide(X_83,X_32)),X_81) = multiply(multiply(X_32,X_83),X_81),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_83,X_32)),multiply(X_32,X_83)) )],[refute_0_382,refute_0_385]) ).

cnf(refute_0_387,plain,
    ( multiply(inverse(double_divide(X_83,X_32)),X_81) != multiply(multiply(X_32,X_83),X_81)
    | multiply(inverse(double_divide(X_83,X_32)),X_81) != double_divide(inverse(X_32),double_divide(X_81,X_83))
    | multiply(multiply(X_32,X_83),X_81) = double_divide(inverse(X_32),double_divide(X_81,X_83)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_83,X_32)),X_81),double_divide(inverse(X_32),double_divide(X_81,X_83))) ),[0],$fot(multiply(multiply(X_32,X_83),X_81))]]) ).

cnf(refute_0_388,plain,
    ( multiply(inverse(double_divide(X_83,X_32)),X_81) != double_divide(inverse(X_32),double_divide(X_81,X_83))
    | multiply(multiply(X_32,X_83),X_81) = double_divide(inverse(X_32),double_divide(X_81,X_83)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_83,X_32)),X_81),multiply(multiply(X_32,X_83),X_81)) )],[refute_0_386,refute_0_387]) ).

cnf(refute_0_389,plain,
    inverse(double_divide(X_81,X_83)) = multiply(X_83,X_81),
    inference(subst,[],[refute_0_48:[bind(A,$fot(X_83)),bind(B,$fot(X_81))]]) ).

cnf(refute_0_390,plain,
    multiply(X_32,inverse(double_divide(X_81,X_83))) = multiply(X_32,inverse(double_divide(X_81,X_83))),
    introduced(tautology,[refl,[$fot(multiply(X_32,inverse(double_divide(X_81,X_83))))]]) ).

cnf(refute_0_391,plain,
    ( multiply(X_32,inverse(double_divide(X_81,X_83))) != multiply(X_32,inverse(double_divide(X_81,X_83)))
    | inverse(double_divide(X_81,X_83)) != multiply(X_83,X_81)
    | multiply(X_32,inverse(double_divide(X_81,X_83))) = multiply(X_32,multiply(X_83,X_81)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_32,inverse(double_divide(X_81,X_83))),multiply(X_32,inverse(double_divide(X_81,X_83)))) ),[1,1],$fot(multiply(X_83,X_81))]]) ).

cnf(refute_0_392,plain,
    ( inverse(double_divide(X_81,X_83)) != multiply(X_83,X_81)
    | multiply(X_32,inverse(double_divide(X_81,X_83))) = multiply(X_32,multiply(X_83,X_81)) ),
    inference(resolve,[$cnf( $equal(multiply(X_32,inverse(double_divide(X_81,X_83))),multiply(X_32,inverse(double_divide(X_81,X_83)))) )],[refute_0_390,refute_0_391]) ).

cnf(refute_0_393,plain,
    multiply(X_32,inverse(double_divide(X_81,X_83))) = multiply(X_32,multiply(X_83,X_81)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_81,X_83)),multiply(X_83,X_81)) )],[refute_0_389,refute_0_392]) ).

cnf(refute_0_394,plain,
    multiply(X_11,multiply(inverse(X_11),double_divide(inverse(X_11),X_39))) = double_divide(inverse(X_11),X_39),
    inference(subst,[],[refute_0_298:[bind(X_23,$fot(double_divide(inverse(X_11),X_39)))]]) ).

cnf(refute_0_395,plain,
    multiply(inverse(X_11),double_divide(inverse(X_11),X_39)) = inverse(X_39),
    inference(subst,[],[refute_0_326:[bind(A,$fot(inverse(X_11))),bind(X_32,$fot(X_39))]]) ).

cnf(refute_0_396,plain,
    ( multiply(X_11,multiply(inverse(X_11),double_divide(inverse(X_11),X_39))) != double_divide(inverse(X_11),X_39)
    | multiply(inverse(X_11),double_divide(inverse(X_11),X_39)) != inverse(X_39)
    | multiply(X_11,inverse(X_39)) = double_divide(inverse(X_11),X_39) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_11,multiply(inverse(X_11),double_divide(inverse(X_11),X_39))),double_divide(inverse(X_11),X_39)) ),[0,1],$fot(inverse(X_39))]]) ).

cnf(refute_0_397,plain,
    ( multiply(X_11,multiply(inverse(X_11),double_divide(inverse(X_11),X_39))) != double_divide(inverse(X_11),X_39)
    | multiply(X_11,inverse(X_39)) = double_divide(inverse(X_11),X_39) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_11),double_divide(inverse(X_11),X_39)),inverse(X_39)) )],[refute_0_395,refute_0_396]) ).

cnf(refute_0_398,plain,
    multiply(X_11,inverse(X_39)) = double_divide(inverse(X_11),X_39),
    inference(resolve,[$cnf( $equal(multiply(X_11,multiply(inverse(X_11),double_divide(inverse(X_11),X_39))),double_divide(inverse(X_11),X_39)) )],[refute_0_394,refute_0_397]) ).

cnf(refute_0_399,plain,
    ( multiply(X_11,inverse(X_39)) != double_divide(inverse(X_11),X_39)
    | double_divide(inverse(X_11),X_39) = multiply(X_11,inverse(X_39)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_11,inverse(X_39)))),bind(Y,$fot(double_divide(inverse(X_11),X_39)))]]) ).

cnf(refute_0_400,plain,
    double_divide(inverse(X_11),X_39) = multiply(X_11,inverse(X_39)),
    inference(resolve,[$cnf( $equal(multiply(X_11,inverse(X_39)),double_divide(inverse(X_11),X_39)) )],[refute_0_398,refute_0_399]) ).

cnf(refute_0_401,plain,
    double_divide(inverse(X_32),double_divide(X_81,X_83)) = multiply(X_32,inverse(double_divide(X_81,X_83))),
    inference(subst,[],[refute_0_400:[bind(X_11,$fot(X_32)),bind(X_39,$fot(double_divide(X_81,X_83)))]]) ).

cnf(refute_0_402,plain,
    ( multiply(X_32,inverse(double_divide(X_81,X_83))) != multiply(X_32,multiply(X_83,X_81))
    | double_divide(inverse(X_32),double_divide(X_81,X_83)) != multiply(X_32,inverse(double_divide(X_81,X_83)))
    | double_divide(inverse(X_32),double_divide(X_81,X_83)) = multiply(X_32,multiply(X_83,X_81)) ),
    inference(subst,[],[refute_0_111:[bind(X,$fot(double_divide(inverse(X_32),double_divide(X_81,X_83)))),bind(Y,$fot(multiply(X_32,inverse(double_divide(X_81,X_83))))),bind(Z,$fot(multiply(X_32,multiply(X_83,X_81))))]]) ).

cnf(refute_0_403,plain,
    ( multiply(X_32,inverse(double_divide(X_81,X_83))) != multiply(X_32,multiply(X_83,X_81))
    | double_divide(inverse(X_32),double_divide(X_81,X_83)) = multiply(X_32,multiply(X_83,X_81)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_32),double_divide(X_81,X_83)),multiply(X_32,inverse(double_divide(X_81,X_83)))) )],[refute_0_401,refute_0_402]) ).

cnf(refute_0_404,plain,
    double_divide(inverse(X_32),double_divide(X_81,X_83)) = multiply(X_32,multiply(X_83,X_81)),
    inference(resolve,[$cnf( $equal(multiply(X_32,inverse(double_divide(X_81,X_83))),multiply(X_32,multiply(X_83,X_81))) )],[refute_0_393,refute_0_403]) ).

cnf(refute_0_405,plain,
    ( multiply(multiply(X_32,X_83),X_81) != double_divide(inverse(X_32),double_divide(X_81,X_83))
    | double_divide(inverse(X_32),double_divide(X_81,X_83)) != multiply(X_32,multiply(X_83,X_81))
    | multiply(multiply(X_32,X_83),X_81) = multiply(X_32,multiply(X_83,X_81)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_32,X_83),X_81),multiply(X_32,multiply(X_83,X_81))) ),[0],$fot(double_divide(inverse(X_32),double_divide(X_81,X_83)))]]) ).

cnf(refute_0_406,plain,
    ( multiply(multiply(X_32,X_83),X_81) != double_divide(inverse(X_32),double_divide(X_81,X_83))
    | multiply(multiply(X_32,X_83),X_81) = multiply(X_32,multiply(X_83,X_81)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_32),double_divide(X_81,X_83)),multiply(X_32,multiply(X_83,X_81))) )],[refute_0_404,refute_0_405]) ).

cnf(refute_0_407,plain,
    ( multiply(inverse(double_divide(X_83,X_32)),X_81) != double_divide(inverse(X_32),double_divide(X_81,X_83))
    | multiply(multiply(X_32,X_83),X_81) = multiply(X_32,multiply(X_83,X_81)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_32,X_83),X_81),double_divide(inverse(X_32),double_divide(X_81,X_83))) )],[refute_0_388,refute_0_406]) ).

cnf(refute_0_408,plain,
    multiply(multiply(X_32,X_83),X_81) = multiply(X_32,multiply(X_83,X_81)),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_83,X_32)),X_81),double_divide(inverse(X_32),double_divide(X_81,X_83))) )],[refute_0_381,refute_0_407]) ).

cnf(refute_0_409,plain,
    multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
    inference(subst,[],[refute_0_408:[bind(X_32,$fot(a3)),bind(X_81,$fot(c3)),bind(X_83,$fot(b3))]]) ).

cnf(refute_0_410,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
    | multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(a3,multiply(b3,c3)))]]) ).

cnf(refute_0_411,plain,
    ( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
    | multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_409,refute_0_410]) ).

cnf(refute_0_412,plain,
    multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
    inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_411,prove_these_axioms_3]) ).

cnf(refute_0_413,plain,
    multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
    introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).

cnf(refute_0_414,plain,
    $false,
    inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_413,refute_0_412]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GRP495-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.11/0.32  % Computer : n028.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Tue Jun 14 13:57:09 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.11/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.17/0.43  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43  
% 0.17/0.43  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.17/0.50  
%------------------------------------------------------------------------------