TSTP Solution File: GRP483-1 by Metis---2.4

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP483-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n018.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 10:41:38 EDT 2022

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   68
%            Number of leaves      :  125
% Syntax   : Number of clauses     :  419 ( 215 unt;   0 nHn; 188 RR)
%            Number of literals    :  721 ( 720 equ; 304 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  909 (   0 sgn)

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

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

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

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

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

cnf(refute_0_6,plain,
    ( double_divide(A,identity) != inverse(A)
    | double_divide(inverse(C),double_divide(A,identity)) != double_divide(inverse(C),double_divide(A,identity))
    | double_divide(inverse(C),double_divide(A,identity)) = double_divide(inverse(C),inverse(A)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(C),double_divide(A,identity)),double_divide(inverse(C),double_divide(A,identity))) ),[1,1],$fot(inverse(A))]]) ).

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

cnf(refute_0_8,plain,
    double_divide(inverse(C),double_divide(A,identity)) = double_divide(inverse(C),inverse(A)),
    inference(resolve,[$cnf( $equal(double_divide(A,identity),inverse(A)) )],[refute_0_4,refute_0_7]) ).

cnf(refute_0_9,plain,
    double_divide(C,identity) = inverse(C),
    inference(subst,[],[refute_0_4:[bind(A,$fot(C))]]) ).

cnf(refute_0_10,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_11,plain,
    double_divide(A,inverse(A)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(A,inverse(A))) )],[identity,refute_0_10]) ).

cnf(refute_0_12,plain,
    double_divide(D,inverse(D)) = identity,
    inference(subst,[],[refute_0_11:[bind(A,$fot(D))]]) ).

cnf(refute_0_13,plain,
    double_divide(D,identity) = inverse(D),
    inference(subst,[],[refute_0_4:[bind(A,$fot(D))]]) ).

cnf(refute_0_14,plain,
    double_divide(D,double_divide(D,identity)) = double_divide(D,double_divide(D,identity)),
    introduced(tautology,[refl,[$fot(double_divide(D,double_divide(D,identity)))]]) ).

cnf(refute_0_15,plain,
    ( double_divide(D,double_divide(D,identity)) != double_divide(D,double_divide(D,identity))
    | double_divide(D,identity) != inverse(D)
    | double_divide(D,double_divide(D,identity)) = double_divide(D,inverse(D)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(D,double_divide(D,identity)),double_divide(D,double_divide(D,identity))) ),[1,1],$fot(inverse(D))]]) ).

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

cnf(refute_0_17,plain,
    double_divide(D,double_divide(D,identity)) = double_divide(D,inverse(D)),
    inference(resolve,[$cnf( $equal(double_divide(D,identity),inverse(D)) )],[refute_0_13,refute_0_16]) ).

cnf(refute_0_18,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_19,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_18]) ).

cnf(refute_0_20,plain,
    ( double_divide(D,double_divide(D,identity)) != double_divide(D,inverse(D))
    | double_divide(D,inverse(D)) != identity
    | double_divide(D,double_divide(D,identity)) = identity ),
    inference(subst,[],[refute_0_19:[bind(X,$fot(double_divide(D,double_divide(D,identity)))),bind(Y,$fot(double_divide(D,inverse(D)))),bind(Z,$fot(identity))]]) ).

cnf(refute_0_21,plain,
    ( double_divide(D,inverse(D)) != identity
    | double_divide(D,double_divide(D,identity)) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(D,double_divide(D,identity)),double_divide(D,inverse(D))) )],[refute_0_17,refute_0_20]) ).

cnf(refute_0_22,plain,
    double_divide(D,double_divide(D,identity)) = identity,
    inference(resolve,[$cnf( $equal(double_divide(D,inverse(D)),identity) )],[refute_0_12,refute_0_21]) ).

cnf(refute_0_23,plain,
    double_divide(C,double_divide(D,double_divide(D,identity))) = double_divide(C,double_divide(D,double_divide(D,identity))),
    introduced(tautology,[refl,[$fot(double_divide(C,double_divide(D,double_divide(D,identity))))]]) ).

cnf(refute_0_24,plain,
    ( double_divide(C,double_divide(D,double_divide(D,identity))) != double_divide(C,double_divide(D,double_divide(D,identity)))
    | double_divide(D,double_divide(D,identity)) != identity
    | double_divide(C,double_divide(D,double_divide(D,identity))) = double_divide(C,identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(C,double_divide(D,double_divide(D,identity)))) ),[1,1],$fot(identity)]]) ).

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

cnf(refute_0_26,plain,
    double_divide(C,double_divide(D,double_divide(D,identity))) = double_divide(C,identity),
    inference(resolve,[$cnf( $equal(double_divide(D,double_divide(D,identity)),identity) )],[refute_0_22,refute_0_25]) ).

cnf(refute_0_27,plain,
    ( double_divide(C,double_divide(D,double_divide(D,identity))) != double_divide(C,identity)
    | double_divide(C,identity) != inverse(C)
    | double_divide(C,double_divide(D,double_divide(D,identity))) = inverse(C) ),
    inference(subst,[],[refute_0_19:[bind(X,$fot(double_divide(C,double_divide(D,double_divide(D,identity))))),bind(Y,$fot(double_divide(C,identity))),bind(Z,$fot(inverse(C)))]]) ).

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

cnf(refute_0_29,plain,
    double_divide(C,double_divide(D,double_divide(D,identity))) = inverse(C),
    inference(resolve,[$cnf( $equal(double_divide(C,identity),inverse(C)) )],[refute_0_9,refute_0_28]) ).

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

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

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

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

cnf(refute_0_34,plain,
    ( double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity)) != double_divide(inverse(C),double_divide(A,identity))
    | double_divide(inverse(C),double_divide(A,identity)) != double_divide(inverse(C),inverse(A))
    | double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity)) = double_divide(inverse(C),inverse(A)) ),
    inference(subst,[],[refute_0_19:[bind(X,$fot(double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity)))),bind(Y,$fot(double_divide(inverse(C),double_divide(A,identity)))),bind(Z,$fot(double_divide(inverse(C),inverse(A))))]]) ).

cnf(refute_0_35,plain,
    ( double_divide(inverse(C),double_divide(A,identity)) != double_divide(inverse(C),inverse(A))
    | double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity)) = double_divide(inverse(C),inverse(A)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity)),double_divide(inverse(C),double_divide(A,identity))) )],[refute_0_33,refute_0_34]) ).

cnf(refute_0_36,plain,
    double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity)) = double_divide(inverse(C),inverse(A)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(C),double_divide(A,identity)),double_divide(inverse(C),inverse(A))) )],[refute_0_8,refute_0_35]) ).

cnf(refute_0_37,plain,
    double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))) = double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))))]]) ).

cnf(refute_0_38,plain,
    ( double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))) != double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity)))
    | double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity)) != double_divide(inverse(C),inverse(A))
    | double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))) = double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity)))) ),[1,1],$fot(double_divide(inverse(C),inverse(A)))]]) ).

cnf(refute_0_39,plain,
    ( double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity)) != double_divide(inverse(C),inverse(A))
    | double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))) = double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity)))) )],[refute_0_37,refute_0_38]) ).

cnf(refute_0_40,plain,
    double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))) = double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity)),double_divide(inverse(C),inverse(A))) )],[refute_0_36,refute_0_39]) ).

cnf(refute_0_41,plain,
    double_divide(B,identity) = inverse(B),
    inference(subst,[],[refute_0_4:[bind(A,$fot(B))]]) ).

cnf(refute_0_42,plain,
    double_divide(A,double_divide(B,identity)) = double_divide(A,double_divide(B,identity)),
    introduced(tautology,[refl,[$fot(double_divide(A,double_divide(B,identity)))]]) ).

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

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

cnf(refute_0_45,plain,
    double_divide(A,double_divide(B,identity)) = double_divide(A,inverse(B)),
    inference(resolve,[$cnf( $equal(double_divide(B,identity),inverse(B)) )],[refute_0_41,refute_0_44]) ).

cnf(refute_0_46,plain,
    double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))) = double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))))]]) ).

cnf(refute_0_47,plain,
    ( double_divide(A,double_divide(B,identity)) != double_divide(A,inverse(B))
    | double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))) != double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity)))
    | double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))) = double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity)))) ),[1,0],$fot(double_divide(A,inverse(B)))]]) ).

cnf(refute_0_48,plain,
    ( double_divide(A,double_divide(B,identity)) != double_divide(A,inverse(B))
    | double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))) = double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity)))) )],[refute_0_46,refute_0_47]) ).

cnf(refute_0_49,plain,
    double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))) = double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),
    inference(resolve,[$cnf( $equal(double_divide(A,double_divide(B,identity)),double_divide(A,inverse(B))) )],[refute_0_45,refute_0_48]) ).

cnf(refute_0_50,plain,
    ( double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))) != double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity)))
    | double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))) != double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A)))
    | double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))) = double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A))) ),
    inference(subst,[],[refute_0_19:[bind(X,$fot(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))))),bind(Y,$fot(double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))))),bind(Z,$fot(double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A)))))]]) ).

cnf(refute_0_51,plain,
    ( double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))) != double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A)))
    | double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))) = double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity)))) )],[refute_0_49,refute_0_50]) ).

cnf(refute_0_52,plain,
    double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))) = double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,inverse(B)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A)))) )],[refute_0_40,refute_0_51]) ).

cnf(refute_0_53,plain,
    double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B) = double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B))]]) ).

cnf(refute_0_54,plain,
    ( double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))) != double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A)))
    | double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B) != double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B)
    | double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B) = double_divide(double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A))),B) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B),double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B)) ),[1,0],$fot(double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A))))]]) ).

cnf(refute_0_55,plain,
    ( double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))) != double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A)))
    | double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B) = double_divide(double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A))),B) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B),double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B)) )],[refute_0_53,refute_0_54]) ).

cnf(refute_0_56,plain,
    double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B) = double_divide(double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A))),B),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A)))) )],[refute_0_52,refute_0_55]) ).

cnf(refute_0_57,plain,
    ( double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B) != C
    | double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B) != double_divide(double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A))),B)
    | double_divide(double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A))),B) = C ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B),C) ),[0],$fot(double_divide(double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A))),B))]]) ).

cnf(refute_0_58,plain,
    ( double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B) != C
    | double_divide(double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A))),B) = C ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B),double_divide(double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A))),B)) )],[refute_0_56,refute_0_57]) ).

cnf(refute_0_59,plain,
    double_divide(double_divide(double_divide(A,inverse(B)),double_divide(inverse(C),inverse(A))),B) = C,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B),C) )],[single_axiom,refute_0_58]) ).

cnf(refute_0_60,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10))),inverse(B)),double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B) = C,
    inference(subst,[],[refute_0_59:[bind(A,$fot(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))]]) ).

cnf(refute_0_61,plain,
    double_divide(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10))),inverse(B)) = X_12,
    inference(subst,[],[refute_0_59:[bind(A,$fot(X_10)),bind(B,$fot(inverse(B))),bind(C,$fot(X_12))]]) ).

cnf(refute_0_62,plain,
    ( double_divide(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10))),inverse(B)) != X_12
    | double_divide(double_divide(double_divide(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10))),inverse(B)),double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B) != C
    | double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B) = C ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10))),inverse(B)),double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B),C) ),[0,0,0],$fot(X_12)]]) ).

cnf(refute_0_63,plain,
    ( double_divide(double_divide(double_divide(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10))),inverse(B)),double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B) != C
    | double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B) = C ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10))),inverse(B)),X_12) )],[refute_0_61,refute_0_62]) ).

cnf(refute_0_64,plain,
    double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B) = C,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10))),inverse(B)),double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B),C) )],[refute_0_60,refute_0_63]) ).

cnf(refute_0_65,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_66,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_67,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_65,refute_0_66]) ).

cnf(refute_0_68,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_67]) ).

cnf(refute_0_69,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_70,plain,
    inverse(double_divide(B,A)) = multiply(A,B),
    inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[refute_0_68,refute_0_69]) ).

cnf(refute_0_71,plain,
    inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))) = multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))),
    inference(subst,[],[refute_0_70:[bind(A,$fot(double_divide(inverse(X_12),inverse(X_10)))),bind(B,$fot(double_divide(X_10,inverse(inverse(B)))))]]) ).

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

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

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

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

cnf(refute_0_76,plain,
    double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))) = double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),
    introduced(tautology,[refl,[$fot(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))))]]) ).

cnf(refute_0_77,plain,
    ( double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))) != double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10))))))
    | double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10))))) != double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))
    | double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))) = double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10))))))) ),[1,1],$fot(double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))))]]) ).

cnf(refute_0_78,plain,
    ( double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10))))) != double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))
    | double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))) = double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))) ),
    inference(resolve,[$cnf( $equal(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10))))))) )],[refute_0_76,refute_0_77]) ).

cnf(refute_0_79,plain,
    double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))) = double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),
    inference(resolve,[$cnf( $equal(double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10))))),double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))) )],[refute_0_75,refute_0_78]) ).

cnf(refute_0_80,plain,
    double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B) = double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B))]]) ).

cnf(refute_0_81,plain,
    ( double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))) != double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))))
    | double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B) != double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B)
    | double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B) = double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B),double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B)) ),[1,0],$fot(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))))]]) ).

cnf(refute_0_82,plain,
    ( double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))) != double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))))
    | double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B) = double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B),double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B)) )],[refute_0_80,refute_0_81]) ).

cnf(refute_0_83,plain,
    double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B) = double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B),
    inference(resolve,[$cnf( $equal(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))))) )],[refute_0_79,refute_0_82]) ).

cnf(refute_0_84,plain,
    ( double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B) != C
    | double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B) != double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B)
    | double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B) = C ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B),C) ),[0],$fot(double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B))]]) ).

cnf(refute_0_85,plain,
    ( double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B) != C
    | double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B) = C ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B),double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B)) )],[refute_0_83,refute_0_84]) ).

cnf(refute_0_86,plain,
    double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B) = C,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_12,double_divide(inverse(C),inverse(double_divide(double_divide(X_10,inverse(inverse(B))),double_divide(inverse(X_12),inverse(X_10)))))),B),C) )],[refute_0_64,refute_0_85]) ).

cnf(refute_0_87,plain,
    inverse(double_divide(identity,double_divide(inverse(X_14),inverse(identity)))) = double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(identity))),identity),
    inference(subst,[],[inverse:[bind(A,$fot(double_divide(identity,double_divide(inverse(X_14),inverse(identity)))))]]) ).

cnf(refute_0_88,plain,
    double_divide(double_divide(double_divide(X_11,inverse(X_11)),double_divide(inverse(X_12),inverse(X_11))),X_11) = X_12,
    inference(subst,[],[refute_0_59:[bind(A,$fot(X_11)),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).

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

cnf(refute_0_90,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_91,plain,
    double_divide(X_11,inverse(X_11)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_11,inverse(X_11))) )],[refute_0_89,refute_0_90]) ).

cnf(refute_0_92,plain,
    ( double_divide(X_11,inverse(X_11)) != identity
    | double_divide(double_divide(double_divide(X_11,inverse(X_11)),double_divide(inverse(X_12),inverse(X_11))),X_11) != X_12
    | double_divide(double_divide(identity,double_divide(inverse(X_12),inverse(X_11))),X_11) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,inverse(X_11)),double_divide(inverse(X_12),inverse(X_11))),X_11),X_12) ),[0,0,0],$fot(identity)]]) ).

cnf(refute_0_93,plain,
    ( double_divide(double_divide(double_divide(X_11,inverse(X_11)),double_divide(inverse(X_12),inverse(X_11))),X_11) != X_12
    | double_divide(double_divide(identity,double_divide(inverse(X_12),inverse(X_11))),X_11) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(X_11,inverse(X_11)),identity) )],[refute_0_91,refute_0_92]) ).

cnf(refute_0_94,plain,
    double_divide(double_divide(identity,double_divide(inverse(X_12),inverse(X_11))),X_11) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,inverse(X_11)),double_divide(inverse(X_12),inverse(X_11))),X_11),X_12) )],[refute_0_88,refute_0_93]) ).

cnf(refute_0_95,plain,
    double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(identity))),identity) = X_14,
    inference(subst,[],[refute_0_94:[bind(X_11,$fot(identity)),bind(X_12,$fot(X_14))]]) ).

cnf(refute_0_96,plain,
    ( double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(identity))),identity) != X_14
    | inverse(double_divide(identity,double_divide(inverse(X_14),inverse(identity)))) != double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(identity))),identity)
    | inverse(double_divide(identity,double_divide(inverse(X_14),inverse(identity)))) = X_14 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(identity,double_divide(inverse(X_14),inverse(identity)))),double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(identity))),identity)) ),[1],$fot(X_14)]]) ).

cnf(refute_0_97,plain,
    ( inverse(double_divide(identity,double_divide(inverse(X_14),inverse(identity)))) != double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(identity))),identity)
    | inverse(double_divide(identity,double_divide(inverse(X_14),inverse(identity)))) = X_14 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(identity))),identity),X_14) )],[refute_0_95,refute_0_96]) ).

cnf(refute_0_98,plain,
    inverse(double_divide(identity,double_divide(inverse(X_14),inverse(identity)))) = X_14,
    inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(inverse(X_14),inverse(identity)))),double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(identity))),identity)) )],[refute_0_87,refute_0_97]) ).

cnf(refute_0_99,plain,
    inverse(double_divide(identity,double_divide(inverse(X_14),inverse(identity)))) = multiply(double_divide(inverse(X_14),inverse(identity)),identity),
    inference(subst,[],[refute_0_70:[bind(A,$fot(double_divide(inverse(X_14),inverse(identity)))),bind(B,$fot(identity))]]) ).

cnf(refute_0_100,plain,
    ( inverse(double_divide(identity,double_divide(inverse(X_14),inverse(identity)))) != X_14
    | inverse(double_divide(identity,double_divide(inverse(X_14),inverse(identity)))) != multiply(double_divide(inverse(X_14),inverse(identity)),identity)
    | multiply(double_divide(inverse(X_14),inverse(identity)),identity) = X_14 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(identity,double_divide(inverse(X_14),inverse(identity)))),X_14) ),[0],$fot(multiply(double_divide(inverse(X_14),inverse(identity)),identity))]]) ).

cnf(refute_0_101,plain,
    ( inverse(double_divide(identity,double_divide(inverse(X_14),inverse(identity)))) != X_14
    | multiply(double_divide(inverse(X_14),inverse(identity)),identity) = X_14 ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(inverse(X_14),inverse(identity)))),multiply(double_divide(inverse(X_14),inverse(identity)),identity)) )],[refute_0_99,refute_0_100]) ).

cnf(refute_0_102,plain,
    multiply(double_divide(inverse(X_14),inverse(identity)),identity) = X_14,
    inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(inverse(X_14),inverse(identity)))),X_14) )],[refute_0_98,refute_0_101]) ).

cnf(refute_0_103,plain,
    multiply(inverse(X_15),inverse(identity)) = inverse(double_divide(inverse(identity),inverse(X_15))),
    inference(subst,[],[refute_0_68:[bind(A,$fot(inverse(X_15))),bind(B,$fot(inverse(identity)))]]) ).

cnf(refute_0_104,plain,
    double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(inverse(X_14)))),inverse(X_14)) = X_14,
    inference(subst,[],[refute_0_94:[bind(X_11,$fot(inverse(X_14))),bind(X_12,$fot(X_14))]]) ).

cnf(refute_0_105,plain,
    identity = double_divide(inverse(X_14),inverse(inverse(X_14))),
    inference(subst,[],[identity:[bind(A,$fot(inverse(X_14)))]]) ).

cnf(refute_0_106,plain,
    ( identity != double_divide(inverse(X_14),inverse(inverse(X_14)))
    | double_divide(inverse(X_14),inverse(inverse(X_14))) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(inverse(X_14),inverse(inverse(X_14)))))]]) ).

cnf(refute_0_107,plain,
    double_divide(inverse(X_14),inverse(inverse(X_14))) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(inverse(X_14),inverse(inverse(X_14)))) )],[refute_0_105,refute_0_106]) ).

cnf(refute_0_108,plain,
    ( double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(inverse(X_14)))),inverse(X_14)) != X_14
    | double_divide(inverse(X_14),inverse(inverse(X_14))) != identity
    | double_divide(double_divide(identity,identity),inverse(X_14)) = X_14 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(inverse(X_14)))),inverse(X_14)),X_14) ),[0,0,1],$fot(identity)]]) ).

cnf(refute_0_109,plain,
    ( double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(inverse(X_14)))),inverse(X_14)) != X_14
    | double_divide(double_divide(identity,identity),inverse(X_14)) = X_14 ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_14),inverse(inverse(X_14))),identity) )],[refute_0_107,refute_0_108]) ).

cnf(refute_0_110,plain,
    double_divide(double_divide(identity,identity),inverse(X_14)) = X_14,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(inverse(X_14)))),inverse(X_14)),X_14) )],[refute_0_104,refute_0_109]) ).

cnf(refute_0_111,plain,
    double_divide(identity,identity) = inverse(identity),
    inference(subst,[],[refute_0_4:[bind(A,$fot(identity))]]) ).

cnf(refute_0_112,plain,
    double_divide(double_divide(identity,identity),inverse(X_14)) = double_divide(double_divide(identity,identity),inverse(X_14)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,identity),inverse(X_14)))]]) ).

cnf(refute_0_113,plain,
    ( double_divide(double_divide(identity,identity),inverse(X_14)) != double_divide(double_divide(identity,identity),inverse(X_14))
    | double_divide(identity,identity) != inverse(identity)
    | double_divide(double_divide(identity,identity),inverse(X_14)) = double_divide(inverse(identity),inverse(X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(X_14)),double_divide(double_divide(identity,identity),inverse(X_14))) ),[1,0],$fot(inverse(identity))]]) ).

cnf(refute_0_114,plain,
    ( double_divide(identity,identity) != inverse(identity)
    | double_divide(double_divide(identity,identity),inverse(X_14)) = double_divide(inverse(identity),inverse(X_14)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(X_14)),double_divide(double_divide(identity,identity),inverse(X_14))) )],[refute_0_112,refute_0_113]) ).

cnf(refute_0_115,plain,
    double_divide(double_divide(identity,identity),inverse(X_14)) = double_divide(inverse(identity),inverse(X_14)),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_111,refute_0_114]) ).

cnf(refute_0_116,plain,
    ( double_divide(double_divide(identity,identity),inverse(X_14)) != X_14
    | double_divide(double_divide(identity,identity),inverse(X_14)) != double_divide(inverse(identity),inverse(X_14))
    | double_divide(inverse(identity),inverse(X_14)) = X_14 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(X_14)),X_14) ),[0],$fot(double_divide(inverse(identity),inverse(X_14)))]]) ).

cnf(refute_0_117,plain,
    ( double_divide(double_divide(identity,identity),inverse(X_14)) != X_14
    | double_divide(inverse(identity),inverse(X_14)) = X_14 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(X_14)),double_divide(inverse(identity),inverse(X_14))) )],[refute_0_115,refute_0_116]) ).

cnf(refute_0_118,plain,
    double_divide(inverse(identity),inverse(X_14)) = X_14,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(X_14)),X_14) )],[refute_0_110,refute_0_117]) ).

cnf(refute_0_119,plain,
    double_divide(inverse(identity),inverse(X_15)) = X_15,
    inference(subst,[],[refute_0_118:[bind(X_14,$fot(X_15))]]) ).

cnf(refute_0_120,plain,
    ( multiply(inverse(X_15),inverse(identity)) != inverse(double_divide(inverse(identity),inverse(X_15)))
    | double_divide(inverse(identity),inverse(X_15)) != X_15
    | multiply(inverse(X_15),inverse(identity)) = inverse(X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_15),inverse(identity)),inverse(double_divide(inverse(identity),inverse(X_15)))) ),[1,0],$fot(X_15)]]) ).

cnf(refute_0_121,plain,
    ( multiply(inverse(X_15),inverse(identity)) != inverse(double_divide(inverse(identity),inverse(X_15)))
    | multiply(inverse(X_15),inverse(identity)) = inverse(X_15) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(X_15)),X_15) )],[refute_0_119,refute_0_120]) ).

cnf(refute_0_122,plain,
    multiply(inverse(X_15),inverse(identity)) = inverse(X_15),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_15),inverse(identity)),inverse(double_divide(inverse(identity),inverse(X_15)))) )],[refute_0_103,refute_0_121]) ).

cnf(refute_0_123,plain,
    identity = double_divide(inverse(identity),inverse(inverse(identity))),
    inference(subst,[],[identity:[bind(A,$fot(inverse(identity)))]]) ).

cnf(refute_0_124,plain,
    double_divide(inverse(identity),inverse(inverse(identity))) = inverse(identity),
    inference(subst,[],[refute_0_118:[bind(X_14,$fot(inverse(identity)))]]) ).

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

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

cnf(refute_0_127,plain,
    identity = inverse(identity),
    inference(resolve,[$cnf( $equal(identity,double_divide(inverse(identity),inverse(inverse(identity)))) )],[refute_0_123,refute_0_126]) ).

cnf(refute_0_128,plain,
    ( identity != inverse(identity)
    | inverse(identity) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(identity)))]]) ).

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

cnf(refute_0_130,plain,
    multiply(inverse(X_15),inverse(identity)) = multiply(inverse(X_15),inverse(identity)),
    introduced(tautology,[refl,[$fot(multiply(inverse(X_15),inverse(identity)))]]) ).

cnf(refute_0_131,plain,
    ( multiply(inverse(X_15),inverse(identity)) != multiply(inverse(X_15),inverse(identity))
    | inverse(identity) != identity
    | multiply(inverse(X_15),inverse(identity)) = multiply(inverse(X_15),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_15),inverse(identity)),multiply(inverse(X_15),inverse(identity))) ),[1,1],$fot(identity)]]) ).

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

cnf(refute_0_133,plain,
    multiply(inverse(X_15),inverse(identity)) = multiply(inverse(X_15),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_129,refute_0_132]) ).

cnf(refute_0_134,plain,
    ( multiply(inverse(X_15),inverse(identity)) != multiply(inverse(X_15),identity)
    | multiply(inverse(X_15),inverse(identity)) != inverse(X_15)
    | multiply(inverse(X_15),identity) = inverse(X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_15),inverse(identity)),inverse(X_15)) ),[0],$fot(multiply(inverse(X_15),identity))]]) ).

cnf(refute_0_135,plain,
    ( multiply(inverse(X_15),inverse(identity)) != inverse(X_15)
    | multiply(inverse(X_15),identity) = inverse(X_15) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_15),inverse(identity)),multiply(inverse(X_15),identity)) )],[refute_0_133,refute_0_134]) ).

cnf(refute_0_136,plain,
    multiply(inverse(X_15),identity) = inverse(X_15),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_15),inverse(identity)),inverse(X_15)) )],[refute_0_122,refute_0_135]) ).

cnf(refute_0_137,plain,
    multiply(inverse(inverse(X_14)),identity) = inverse(inverse(X_14)),
    inference(subst,[],[refute_0_136:[bind(X_15,$fot(inverse(X_14)))]]) ).

cnf(refute_0_138,plain,
    double_divide(inverse(X_14),identity) = inverse(inverse(X_14)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(X_14)))]]) ).

cnf(refute_0_139,plain,
    double_divide(inverse(X_14),inverse(identity)) = double_divide(inverse(X_14),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(inverse(X_14),inverse(identity)))]]) ).

cnf(refute_0_140,plain,
    ( double_divide(inverse(X_14),inverse(identity)) != double_divide(inverse(X_14),inverse(identity))
    | inverse(identity) != identity
    | double_divide(inverse(X_14),inverse(identity)) = double_divide(inverse(X_14),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_14),inverse(identity)),double_divide(inverse(X_14),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_141,plain,
    ( inverse(identity) != identity
    | double_divide(inverse(X_14),inverse(identity)) = double_divide(inverse(X_14),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_14),inverse(identity)),double_divide(inverse(X_14),inverse(identity))) )],[refute_0_139,refute_0_140]) ).

cnf(refute_0_142,plain,
    double_divide(inverse(X_14),inverse(identity)) = double_divide(inverse(X_14),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_129,refute_0_141]) ).

cnf(refute_0_143,plain,
    ( double_divide(inverse(X_14),identity) != inverse(inverse(X_14))
    | double_divide(inverse(X_14),inverse(identity)) != double_divide(inverse(X_14),identity)
    | double_divide(inverse(X_14),inverse(identity)) = inverse(inverse(X_14)) ),
    inference(subst,[],[refute_0_19:[bind(X,$fot(double_divide(inverse(X_14),inverse(identity)))),bind(Y,$fot(double_divide(inverse(X_14),identity))),bind(Z,$fot(inverse(inverse(X_14))))]]) ).

cnf(refute_0_144,plain,
    ( double_divide(inverse(X_14),identity) != inverse(inverse(X_14))
    | double_divide(inverse(X_14),inverse(identity)) = inverse(inverse(X_14)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_14),inverse(identity)),double_divide(inverse(X_14),identity)) )],[refute_0_142,refute_0_143]) ).

cnf(refute_0_145,plain,
    double_divide(inverse(X_14),inverse(identity)) = inverse(inverse(X_14)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_14),identity),inverse(inverse(X_14))) )],[refute_0_138,refute_0_144]) ).

cnf(refute_0_146,plain,
    multiply(double_divide(inverse(X_14),inverse(identity)),identity) = multiply(double_divide(inverse(X_14),inverse(identity)),identity),
    introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_14),inverse(identity)),identity))]]) ).

cnf(refute_0_147,plain,
    ( multiply(double_divide(inverse(X_14),inverse(identity)),identity) != multiply(double_divide(inverse(X_14),inverse(identity)),identity)
    | double_divide(inverse(X_14),inverse(identity)) != inverse(inverse(X_14))
    | multiply(double_divide(inverse(X_14),inverse(identity)),identity) = multiply(inverse(inverse(X_14)),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_14),inverse(identity)),identity),multiply(double_divide(inverse(X_14),inverse(identity)),identity)) ),[1,0],$fot(inverse(inverse(X_14)))]]) ).

cnf(refute_0_148,plain,
    ( double_divide(inverse(X_14),inverse(identity)) != inverse(inverse(X_14))
    | multiply(double_divide(inverse(X_14),inverse(identity)),identity) = multiply(inverse(inverse(X_14)),identity) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_14),inverse(identity)),identity),multiply(double_divide(inverse(X_14),inverse(identity)),identity)) )],[refute_0_146,refute_0_147]) ).

cnf(refute_0_149,plain,
    multiply(double_divide(inverse(X_14),inverse(identity)),identity) = multiply(inverse(inverse(X_14)),identity),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_14),inverse(identity)),inverse(inverse(X_14))) )],[refute_0_145,refute_0_148]) ).

cnf(refute_0_150,plain,
    ( multiply(double_divide(inverse(X_14),inverse(identity)),identity) != multiply(inverse(inverse(X_14)),identity)
    | multiply(inverse(inverse(X_14)),identity) != inverse(inverse(X_14))
    | multiply(double_divide(inverse(X_14),inverse(identity)),identity) = inverse(inverse(X_14)) ),
    inference(subst,[],[refute_0_19:[bind(X,$fot(multiply(double_divide(inverse(X_14),inverse(identity)),identity))),bind(Y,$fot(multiply(inverse(inverse(X_14)),identity))),bind(Z,$fot(inverse(inverse(X_14))))]]) ).

cnf(refute_0_151,plain,
    ( multiply(inverse(inverse(X_14)),identity) != inverse(inverse(X_14))
    | multiply(double_divide(inverse(X_14),inverse(identity)),identity) = inverse(inverse(X_14)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_14),inverse(identity)),identity),multiply(inverse(inverse(X_14)),identity)) )],[refute_0_149,refute_0_150]) ).

cnf(refute_0_152,plain,
    multiply(double_divide(inverse(X_14),inverse(identity)),identity) = inverse(inverse(X_14)),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_14)),identity),inverse(inverse(X_14))) )],[refute_0_137,refute_0_151]) ).

cnf(refute_0_153,plain,
    ( multiply(double_divide(inverse(X_14),inverse(identity)),identity) != X_14
    | multiply(double_divide(inverse(X_14),inverse(identity)),identity) != inverse(inverse(X_14))
    | inverse(inverse(X_14)) = X_14 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_14),inverse(identity)),identity),X_14) ),[0],$fot(inverse(inverse(X_14)))]]) ).

cnf(refute_0_154,plain,
    ( multiply(double_divide(inverse(X_14),inverse(identity)),identity) != X_14
    | inverse(inverse(X_14)) = X_14 ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_14),inverse(identity)),identity),inverse(inverse(X_14))) )],[refute_0_152,refute_0_153]) ).

cnf(refute_0_155,plain,
    inverse(inverse(X_14)) = X_14,
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_14),inverse(identity)),identity),X_14) )],[refute_0_102,refute_0_154]) ).

cnf(refute_0_156,plain,
    inverse(inverse(B)) = B,
    inference(subst,[],[refute_0_155:[bind(X_14,$fot(B))]]) ).

cnf(refute_0_157,plain,
    double_divide(X_10,inverse(inverse(B))) = double_divide(X_10,inverse(inverse(B))),
    introduced(tautology,[refl,[$fot(double_divide(X_10,inverse(inverse(B))))]]) ).

cnf(refute_0_158,plain,
    ( double_divide(X_10,inverse(inverse(B))) != double_divide(X_10,inverse(inverse(B)))
    | inverse(inverse(B)) != B
    | double_divide(X_10,inverse(inverse(B))) = double_divide(X_10,B) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,inverse(inverse(B))),double_divide(X_10,inverse(inverse(B)))) ),[1,1],$fot(B)]]) ).

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

cnf(refute_0_160,plain,
    double_divide(X_10,inverse(inverse(B))) = double_divide(X_10,B),
    inference(resolve,[$cnf( $equal(inverse(inverse(B)),B) )],[refute_0_156,refute_0_159]) ).

cnf(refute_0_161,plain,
    multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))) = multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))),
    introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))]]) ).

cnf(refute_0_162,plain,
    ( multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))) != multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))
    | double_divide(X_10,inverse(inverse(B))) != double_divide(X_10,B)
    | multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))) = multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))) ),[1,1],$fot(double_divide(X_10,B))]]) ).

cnf(refute_0_163,plain,
    ( double_divide(X_10,inverse(inverse(B))) != double_divide(X_10,B)
    | multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))) = multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))) )],[refute_0_161,refute_0_162]) ).

cnf(refute_0_164,plain,
    multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))) = multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)),
    inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(inverse(B))),double_divide(X_10,B)) )],[refute_0_160,refute_0_163]) ).

cnf(refute_0_165,plain,
    double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))) = double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))))]]) ).

cnf(refute_0_166,plain,
    ( multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))) != multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))
    | double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))) != double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))
    | double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))) = double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))),double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))) ),[1,1],$fot(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))]]) ).

cnf(refute_0_167,plain,
    ( multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))) != multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))
    | double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))) = double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))),double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))) )],[refute_0_165,refute_0_166]) ).

cnf(refute_0_168,plain,
    double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))) = double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))) )],[refute_0_164,refute_0_167]) ).

cnf(refute_0_169,plain,
    double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))) = double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),
    introduced(tautology,[refl,[$fot(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))))]]) ).

cnf(refute_0_170,plain,
    ( double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))) != double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))))
    | double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))) != double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))
    | double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))) = double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))))) ),[1,1],$fot(double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))))]]) ).

cnf(refute_0_171,plain,
    ( double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))) != double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))
    | double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))) = double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))) ),
    inference(resolve,[$cnf( $equal(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))))) )],[refute_0_169,refute_0_170]) ).

cnf(refute_0_172,plain,
    double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))) = double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),
    inference(resolve,[$cnf( $equal(double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B))))),double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))) )],[refute_0_168,refute_0_171]) ).

cnf(refute_0_173,plain,
    double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B) = double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B))]]) ).

cnf(refute_0_174,plain,
    ( double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))) != double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))))
    | double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B) != double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B)
    | double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B) = double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B),double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B)) ),[1,0],$fot(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))))]]) ).

cnf(refute_0_175,plain,
    ( double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))) != double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))))
    | double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B) = double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B),double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B)) )],[refute_0_173,refute_0_174]) ).

cnf(refute_0_176,plain,
    double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B) = double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B),
    inference(resolve,[$cnf( $equal(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))))) )],[refute_0_172,refute_0_175]) ).

cnf(refute_0_177,plain,
    ( double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B) != C
    | double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B) != double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B)
    | double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B) = C ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B),C) ),[0],$fot(double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B))]]) ).

cnf(refute_0_178,plain,
    ( double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B) != C
    | double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B) = C ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B),double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B)) )],[refute_0_176,refute_0_177]) ).

cnf(refute_0_179,plain,
    double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B) = C,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(inverse(B)))))),B),C) )],[refute_0_86,refute_0_178]) ).

cnf(refute_0_180,plain,
    multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))) = inverse(double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(A))),A)),
    inference(subst,[],[refute_0_68:[bind(B,$fot(double_divide(identity,double_divide(inverse(X_14),inverse(A)))))]]) ).

cnf(refute_0_181,plain,
    double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(A))),A) = X_14,
    inference(subst,[],[refute_0_94:[bind(X_11,$fot(A)),bind(X_12,$fot(X_14))]]) ).

cnf(refute_0_182,plain,
    ( multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))) != inverse(double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(A))),A))
    | double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(A))),A) != X_14
    | multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))) = inverse(X_14) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))),inverse(double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(A))),A))) ),[1,0],$fot(X_14)]]) ).

cnf(refute_0_183,plain,
    ( multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))) != inverse(double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(A))),A))
    | multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))) = inverse(X_14) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(A))),A),X_14) )],[refute_0_181,refute_0_182]) ).

cnf(refute_0_184,plain,
    multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))) = inverse(X_14),
    inference(resolve,[$cnf( $equal(multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))),inverse(double_divide(double_divide(identity,double_divide(inverse(X_14),inverse(A))),A))) )],[refute_0_180,refute_0_183]) ).

cnf(refute_0_185,plain,
    inverse(double_divide(inverse(X_14),inverse(A))) = multiply(inverse(A),inverse(X_14)),
    inference(subst,[],[refute_0_70:[bind(A,$fot(inverse(A))),bind(B,$fot(inverse(X_14)))]]) ).

cnf(refute_0_186,plain,
    double_divide(inverse(identity),inverse(X_14)) = double_divide(inverse(identity),inverse(X_14)),
    introduced(tautology,[refl,[$fot(double_divide(inverse(identity),inverse(X_14)))]]) ).

cnf(refute_0_187,plain,
    ( double_divide(inverse(identity),inverse(X_14)) != double_divide(inverse(identity),inverse(X_14))
    | inverse(identity) != identity
    | double_divide(inverse(identity),inverse(X_14)) = double_divide(identity,inverse(X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),inverse(X_14)),double_divide(inverse(identity),inverse(X_14))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_188,plain,
    ( inverse(identity) != identity
    | double_divide(inverse(identity),inverse(X_14)) = double_divide(identity,inverse(X_14)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(X_14)),double_divide(inverse(identity),inverse(X_14))) )],[refute_0_186,refute_0_187]) ).

cnf(refute_0_189,plain,
    double_divide(inverse(identity),inverse(X_14)) = double_divide(identity,inverse(X_14)),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_129,refute_0_188]) ).

cnf(refute_0_190,plain,
    ( double_divide(inverse(identity),inverse(X_14)) != X_14
    | double_divide(inverse(identity),inverse(X_14)) != double_divide(identity,inverse(X_14))
    | double_divide(identity,inverse(X_14)) = X_14 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),inverse(X_14)),X_14) ),[0],$fot(double_divide(identity,inverse(X_14)))]]) ).

cnf(refute_0_191,plain,
    ( double_divide(inverse(identity),inverse(X_14)) != X_14
    | double_divide(identity,inverse(X_14)) = X_14 ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(X_14)),double_divide(identity,inverse(X_14))) )],[refute_0_189,refute_0_190]) ).

cnf(refute_0_192,plain,
    double_divide(identity,inverse(X_14)) = X_14,
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(X_14)),X_14) )],[refute_0_118,refute_0_191]) ).

cnf(refute_0_193,plain,
    double_divide(identity,inverse(inverse(X_14))) = inverse(X_14),
    inference(subst,[],[refute_0_192:[bind(X_14,$fot(inverse(X_14)))]]) ).

cnf(refute_0_194,plain,
    ( double_divide(identity,inverse(inverse(X_14))) != inverse(X_14)
    | inverse(inverse(X_14)) != X_14
    | double_divide(identity,X_14) = inverse(X_14) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,inverse(inverse(X_14))),inverse(X_14)) ),[0,1],$fot(X_14)]]) ).

cnf(refute_0_195,plain,
    ( double_divide(identity,inverse(inverse(X_14))) != inverse(X_14)
    | double_divide(identity,X_14) = inverse(X_14) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_14)),X_14) )],[refute_0_155,refute_0_194]) ).

cnf(refute_0_196,plain,
    double_divide(identity,X_14) = inverse(X_14),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(X_14))),inverse(X_14)) )],[refute_0_193,refute_0_195]) ).

cnf(refute_0_197,plain,
    double_divide(identity,double_divide(inverse(X_14),inverse(A))) = inverse(double_divide(inverse(X_14),inverse(A))),
    inference(subst,[],[refute_0_196:[bind(X_14,$fot(double_divide(inverse(X_14),inverse(A))))]]) ).

cnf(refute_0_198,plain,
    ( double_divide(identity,double_divide(inverse(X_14),inverse(A))) != inverse(double_divide(inverse(X_14),inverse(A)))
    | inverse(double_divide(inverse(X_14),inverse(A))) != multiply(inverse(A),inverse(X_14))
    | double_divide(identity,double_divide(inverse(X_14),inverse(A))) = multiply(inverse(A),inverse(X_14)) ),
    inference(subst,[],[refute_0_19:[bind(X,$fot(double_divide(identity,double_divide(inverse(X_14),inverse(A))))),bind(Y,$fot(inverse(double_divide(inverse(X_14),inverse(A))))),bind(Z,$fot(multiply(inverse(A),inverse(X_14))))]]) ).

cnf(refute_0_199,plain,
    ( inverse(double_divide(inverse(X_14),inverse(A))) != multiply(inverse(A),inverse(X_14))
    | double_divide(identity,double_divide(inverse(X_14),inverse(A))) = multiply(inverse(A),inverse(X_14)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(X_14),inverse(A))),inverse(double_divide(inverse(X_14),inverse(A)))) )],[refute_0_197,refute_0_198]) ).

cnf(refute_0_200,plain,
    double_divide(identity,double_divide(inverse(X_14),inverse(A))) = multiply(inverse(A),inverse(X_14)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_14),inverse(A))),multiply(inverse(A),inverse(X_14))) )],[refute_0_185,refute_0_199]) ).

cnf(refute_0_201,plain,
    multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))) = multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))),
    introduced(tautology,[refl,[$fot(multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))))]]) ).

cnf(refute_0_202,plain,
    ( multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))) != multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A))))
    | double_divide(identity,double_divide(inverse(X_14),inverse(A))) != multiply(inverse(A),inverse(X_14))
    | multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))) = multiply(A,multiply(inverse(A),inverse(X_14))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))),multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A))))) ),[1,1],$fot(multiply(inverse(A),inverse(X_14)))]]) ).

cnf(refute_0_203,plain,
    ( double_divide(identity,double_divide(inverse(X_14),inverse(A))) != multiply(inverse(A),inverse(X_14))
    | multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))) = multiply(A,multiply(inverse(A),inverse(X_14))) ),
    inference(resolve,[$cnf( $equal(multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))),multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A))))) )],[refute_0_201,refute_0_202]) ).

cnf(refute_0_204,plain,
    multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))) = multiply(A,multiply(inverse(A),inverse(X_14))),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(X_14),inverse(A))),multiply(inverse(A),inverse(X_14))) )],[refute_0_200,refute_0_203]) ).

cnf(refute_0_205,plain,
    ( multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))) != multiply(A,multiply(inverse(A),inverse(X_14)))
    | multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))) != inverse(X_14)
    | multiply(A,multiply(inverse(A),inverse(X_14))) = inverse(X_14) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))),inverse(X_14)) ),[0],$fot(multiply(A,multiply(inverse(A),inverse(X_14))))]]) ).

cnf(refute_0_206,plain,
    ( multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))) != inverse(X_14)
    | multiply(A,multiply(inverse(A),inverse(X_14))) = inverse(X_14) ),
    inference(resolve,[$cnf( $equal(multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))),multiply(A,multiply(inverse(A),inverse(X_14)))) )],[refute_0_204,refute_0_205]) ).

cnf(refute_0_207,plain,
    multiply(A,multiply(inverse(A),inverse(X_14))) = inverse(X_14),
    inference(resolve,[$cnf( $equal(multiply(A,double_divide(identity,double_divide(inverse(X_14),inverse(A)))),inverse(X_14)) )],[refute_0_184,refute_0_206]) ).

cnf(refute_0_208,plain,
    multiply(X_35,multiply(inverse(X_35),inverse(inverse(X_14)))) = inverse(inverse(X_14)),
    inference(subst,[],[refute_0_207:[bind(A,$fot(X_35)),bind(X_14,$fot(inverse(X_14)))]]) ).

cnf(refute_0_209,plain,
    ( multiply(X_35,multiply(inverse(X_35),inverse(inverse(X_14)))) != inverse(inverse(X_14))
    | inverse(inverse(X_14)) != X_14
    | multiply(X_35,multiply(inverse(X_35),X_14)) = inverse(inverse(X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_35,multiply(inverse(X_35),inverse(inverse(X_14)))),inverse(inverse(X_14))) ),[0,1,1],$fot(X_14)]]) ).

cnf(refute_0_210,plain,
    ( multiply(X_35,multiply(inverse(X_35),inverse(inverse(X_14)))) != inverse(inverse(X_14))
    | multiply(X_35,multiply(inverse(X_35),X_14)) = inverse(inverse(X_14)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_14)),X_14) )],[refute_0_155,refute_0_209]) ).

cnf(refute_0_211,plain,
    multiply(X_35,multiply(inverse(X_35),X_14)) = inverse(inverse(X_14)),
    inference(resolve,[$cnf( $equal(multiply(X_35,multiply(inverse(X_35),inverse(inverse(X_14)))),inverse(inverse(X_14))) )],[refute_0_208,refute_0_210]) ).

cnf(refute_0_212,plain,
    ( multiply(X_35,multiply(inverse(X_35),X_14)) != inverse(inverse(X_14))
    | inverse(inverse(X_14)) != X_14
    | multiply(X_35,multiply(inverse(X_35),X_14)) = X_14 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_35,multiply(inverse(X_35),X_14)),X_14) ),[0],$fot(inverse(inverse(X_14)))]]) ).

cnf(refute_0_213,plain,
    ( multiply(X_35,multiply(inverse(X_35),X_14)) != inverse(inverse(X_14))
    | multiply(X_35,multiply(inverse(X_35),X_14)) = X_14 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_14)),X_14) )],[refute_0_155,refute_0_212]) ).

cnf(refute_0_214,plain,
    multiply(X_35,multiply(inverse(X_35),X_14)) = X_14,
    inference(resolve,[$cnf( $equal(multiply(X_35,multiply(inverse(X_35),X_14)),inverse(inverse(X_14))) )],[refute_0_211,refute_0_213]) ).

cnf(refute_0_215,plain,
    multiply(X_35,multiply(inverse(X_35),double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))))) = double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))),
    inference(subst,[],[refute_0_214:[bind(X_14,$fot(double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46)))))]]) ).

cnf(refute_0_216,plain,
    multiply(A,double_divide(double_divide(X_10,inverse(A)),double_divide(inverse(X_12),inverse(X_10)))) = inverse(double_divide(double_divide(double_divide(X_10,inverse(A)),double_divide(inverse(X_12),inverse(X_10))),A)),
    inference(subst,[],[refute_0_68:[bind(B,$fot(double_divide(double_divide(X_10,inverse(A)),double_divide(inverse(X_12),inverse(X_10)))))]]) ).

cnf(refute_0_217,plain,
    double_divide(double_divide(double_divide(X_10,inverse(A)),double_divide(inverse(X_12),inverse(X_10))),A) = X_12,
    inference(subst,[],[refute_0_59:[bind(A,$fot(X_10)),bind(B,$fot(A)),bind(C,$fot(X_12))]]) ).

cnf(refute_0_218,plain,
    ( multiply(A,double_divide(double_divide(X_10,inverse(A)),double_divide(inverse(X_12),inverse(X_10)))) != inverse(double_divide(double_divide(double_divide(X_10,inverse(A)),double_divide(inverse(X_12),inverse(X_10))),A))
    | double_divide(double_divide(double_divide(X_10,inverse(A)),double_divide(inverse(X_12),inverse(X_10))),A) != X_12
    | multiply(A,double_divide(double_divide(X_10,inverse(A)),double_divide(inverse(X_12),inverse(X_10)))) = inverse(X_12) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(A,double_divide(double_divide(X_10,inverse(A)),double_divide(inverse(X_12),inverse(X_10)))),inverse(double_divide(double_divide(double_divide(X_10,inverse(A)),double_divide(inverse(X_12),inverse(X_10))),A))) ),[1,0],$fot(X_12)]]) ).

cnf(refute_0_219,plain,
    ( multiply(A,double_divide(double_divide(X_10,inverse(A)),double_divide(inverse(X_12),inverse(X_10)))) != inverse(double_divide(double_divide(double_divide(X_10,inverse(A)),double_divide(inverse(X_12),inverse(X_10))),A))
    | multiply(A,double_divide(double_divide(X_10,inverse(A)),double_divide(inverse(X_12),inverse(X_10)))) = inverse(X_12) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_10,inverse(A)),double_divide(inverse(X_12),inverse(X_10))),A),X_12) )],[refute_0_217,refute_0_218]) ).

cnf(refute_0_220,plain,
    multiply(A,double_divide(double_divide(X_10,inverse(A)),double_divide(inverse(X_12),inverse(X_10)))) = inverse(X_12),
    inference(resolve,[$cnf( $equal(multiply(A,double_divide(double_divide(X_10,inverse(A)),double_divide(inverse(X_12),inverse(X_10)))),inverse(double_divide(double_divide(double_divide(X_10,inverse(A)),double_divide(inverse(X_12),inverse(X_10))),A))) )],[refute_0_216,refute_0_219]) ).

cnf(refute_0_221,plain,
    multiply(inverse(X_35),double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46)))) = inverse(X_47),
    inference(subst,[],[refute_0_220:[bind(A,$fot(inverse(X_35))),bind(X_10,$fot(X_46)),bind(X_12,$fot(X_47))]]) ).

cnf(refute_0_222,plain,
    ( multiply(X_35,multiply(inverse(X_35),double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))))) != double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46)))
    | multiply(inverse(X_35),double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46)))) != inverse(X_47)
    | multiply(X_35,inverse(X_47)) = double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_35,multiply(inverse(X_35),double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))))),double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46)))) ),[0,1],$fot(inverse(X_47))]]) ).

cnf(refute_0_223,plain,
    ( multiply(X_35,multiply(inverse(X_35),double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))))) != double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46)))
    | multiply(X_35,inverse(X_47)) = double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_35),double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46)))),inverse(X_47)) )],[refute_0_221,refute_0_222]) ).

cnf(refute_0_224,plain,
    multiply(X_35,inverse(X_47)) = double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))),
    inference(resolve,[$cnf( $equal(multiply(X_35,multiply(inverse(X_35),double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))))),double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46)))) )],[refute_0_215,refute_0_223]) ).

cnf(refute_0_225,plain,
    inverse(inverse(X_35)) = X_35,
    inference(subst,[],[refute_0_155:[bind(X_14,$fot(X_35))]]) ).

cnf(refute_0_226,plain,
    double_divide(X_46,inverse(inverse(X_35))) = double_divide(X_46,inverse(inverse(X_35))),
    introduced(tautology,[refl,[$fot(double_divide(X_46,inverse(inverse(X_35))))]]) ).

cnf(refute_0_227,plain,
    ( double_divide(X_46,inverse(inverse(X_35))) != double_divide(X_46,inverse(inverse(X_35)))
    | inverse(inverse(X_35)) != X_35
    | double_divide(X_46,inverse(inverse(X_35))) = double_divide(X_46,X_35) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_46,inverse(inverse(X_35))),double_divide(X_46,inverse(inverse(X_35)))) ),[1,1],$fot(X_35)]]) ).

cnf(refute_0_228,plain,
    ( inverse(inverse(X_35)) != X_35
    | double_divide(X_46,inverse(inverse(X_35))) = double_divide(X_46,X_35) ),
    inference(resolve,[$cnf( $equal(double_divide(X_46,inverse(inverse(X_35))),double_divide(X_46,inverse(inverse(X_35)))) )],[refute_0_226,refute_0_227]) ).

cnf(refute_0_229,plain,
    double_divide(X_46,inverse(inverse(X_35))) = double_divide(X_46,X_35),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_35)),X_35) )],[refute_0_225,refute_0_228]) ).

cnf(refute_0_230,plain,
    double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))) = double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))))]]) ).

cnf(refute_0_231,plain,
    ( double_divide(X_46,inverse(inverse(X_35))) != double_divide(X_46,X_35)
    | double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))) != double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46)))
    | double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))) = double_divide(double_divide(X_46,X_35),double_divide(inverse(X_47),inverse(X_46))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))),double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46)))) ),[1,0],$fot(double_divide(X_46,X_35))]]) ).

cnf(refute_0_232,plain,
    ( double_divide(X_46,inverse(inverse(X_35))) != double_divide(X_46,X_35)
    | double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))) = double_divide(double_divide(X_46,X_35),double_divide(inverse(X_47),inverse(X_46))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))),double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46)))) )],[refute_0_230,refute_0_231]) ).

cnf(refute_0_233,plain,
    double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))) = double_divide(double_divide(X_46,X_35),double_divide(inverse(X_47),inverse(X_46))),
    inference(resolve,[$cnf( $equal(double_divide(X_46,inverse(inverse(X_35))),double_divide(X_46,X_35)) )],[refute_0_229,refute_0_232]) ).

cnf(refute_0_234,plain,
    ( multiply(X_35,inverse(X_47)) != double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46)))
    | double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))) != double_divide(double_divide(X_46,X_35),double_divide(inverse(X_47),inverse(X_46)))
    | multiply(X_35,inverse(X_47)) = double_divide(double_divide(X_46,X_35),double_divide(inverse(X_47),inverse(X_46))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_35,inverse(X_47)),double_divide(double_divide(X_46,X_35),double_divide(inverse(X_47),inverse(X_46)))) ),[0],$fot(double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))))]]) ).

cnf(refute_0_235,plain,
    ( multiply(X_35,inverse(X_47)) != double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46)))
    | multiply(X_35,inverse(X_47)) = double_divide(double_divide(X_46,X_35),double_divide(inverse(X_47),inverse(X_46))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46))),double_divide(double_divide(X_46,X_35),double_divide(inverse(X_47),inverse(X_46)))) )],[refute_0_233,refute_0_234]) ).

cnf(refute_0_236,plain,
    multiply(X_35,inverse(X_47)) = double_divide(double_divide(X_46,X_35),double_divide(inverse(X_47),inverse(X_46))),
    inference(resolve,[$cnf( $equal(multiply(X_35,inverse(X_47)),double_divide(double_divide(X_46,inverse(inverse(X_35))),double_divide(inverse(X_47),inverse(X_46)))) )],[refute_0_224,refute_0_235]) ).

cnf(refute_0_237,plain,
    ( multiply(X_35,inverse(X_47)) != double_divide(double_divide(X_46,X_35),double_divide(inverse(X_47),inverse(X_46)))
    | double_divide(double_divide(X_46,X_35),double_divide(inverse(X_47),inverse(X_46))) = multiply(X_35,inverse(X_47)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_35,inverse(X_47)))),bind(Y,$fot(double_divide(double_divide(X_46,X_35),double_divide(inverse(X_47),inverse(X_46)))))]]) ).

cnf(refute_0_238,plain,
    double_divide(double_divide(X_46,X_35),double_divide(inverse(X_47),inverse(X_46))) = multiply(X_35,inverse(X_47)),
    inference(resolve,[$cnf( $equal(multiply(X_35,inverse(X_47)),double_divide(double_divide(X_46,X_35),double_divide(inverse(X_47),inverse(X_46)))) )],[refute_0_236,refute_0_237]) ).

cnf(refute_0_239,plain,
    double_divide(double_divide(X_10,B),double_divide(inverse(X_12),inverse(X_10))) = multiply(B,inverse(X_12)),
    inference(subst,[],[refute_0_238:[bind(X_35,$fot(B)),bind(X_46,$fot(X_10)),bind(X_47,$fot(X_12))]]) ).

cnf(refute_0_240,plain,
    inverse(inverse(double_divide(B,A))) = double_divide(B,A),
    inference(subst,[],[refute_0_155:[bind(X_14,$fot(double_divide(B,A)))]]) ).

cnf(refute_0_241,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_242,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_70,refute_0_241]) ).

cnf(refute_0_243,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_240,refute_0_242]) ).

cnf(refute_0_244,plain,
    inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))) = double_divide(double_divide(X_10,B),double_divide(inverse(X_12),inverse(X_10))),
    inference(subst,[],[refute_0_243:[bind(A,$fot(double_divide(inverse(X_12),inverse(X_10)))),bind(B,$fot(double_divide(X_10,B)))]]) ).

cnf(refute_0_245,plain,
    ( double_divide(double_divide(X_10,B),double_divide(inverse(X_12),inverse(X_10))) != multiply(B,inverse(X_12))
    | inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))) != double_divide(double_divide(X_10,B),double_divide(inverse(X_12),inverse(X_10)))
    | inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))) = multiply(B,inverse(X_12)) ),
    inference(subst,[],[refute_0_19:[bind(X,$fot(inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))))),bind(Y,$fot(double_divide(double_divide(X_10,B),double_divide(inverse(X_12),inverse(X_10))))),bind(Z,$fot(multiply(B,inverse(X_12))))]]) ).

cnf(refute_0_246,plain,
    ( double_divide(double_divide(X_10,B),double_divide(inverse(X_12),inverse(X_10))) != multiply(B,inverse(X_12))
    | inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))) = multiply(B,inverse(X_12)) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))),double_divide(double_divide(X_10,B),double_divide(inverse(X_12),inverse(X_10)))) )],[refute_0_244,refute_0_245]) ).

cnf(refute_0_247,plain,
    inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))) = multiply(B,inverse(X_12)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,B),double_divide(inverse(X_12),inverse(X_10))),multiply(B,inverse(X_12))) )],[refute_0_239,refute_0_246]) ).

cnf(refute_0_248,plain,
    multiply(C,inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))) = multiply(C,inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),
    introduced(tautology,[refl,[$fot(multiply(C,inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))))]]) ).

cnf(refute_0_249,plain,
    ( multiply(C,inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))) != multiply(C,inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))))
    | inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))) != multiply(B,inverse(X_12))
    | multiply(C,inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))) = multiply(C,multiply(B,inverse(X_12))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(C,inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),multiply(C,inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))))) ),[1,1],$fot(multiply(B,inverse(X_12)))]]) ).

cnf(refute_0_250,plain,
    ( inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))) != multiply(B,inverse(X_12))
    | multiply(C,inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))) = multiply(C,multiply(B,inverse(X_12))) ),
    inference(resolve,[$cnf( $equal(multiply(C,inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),multiply(C,inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))))) )],[refute_0_248,refute_0_249]) ).

cnf(refute_0_251,plain,
    multiply(C,inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))) = multiply(C,multiply(B,inverse(X_12))),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))),multiply(B,inverse(X_12))) )],[refute_0_247,refute_0_250]) ).

cnf(refute_0_252,plain,
    multiply(X_35,multiply(inverse(X_35),double_divide(inverse(X_35),X_49))) = double_divide(inverse(X_35),X_49),
    inference(subst,[],[refute_0_214:[bind(X_14,$fot(double_divide(inverse(X_35),X_49)))]]) ).

cnf(refute_0_253,plain,
    multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),inverse(identity)))) = inverse(X_47),
    inference(subst,[],[refute_0_220:[bind(A,$fot(X_45)),bind(X_10,$fot(identity)),bind(X_12,$fot(X_47))]]) ).

cnf(refute_0_254,plain,
    ( multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),inverse(identity)))) != inverse(X_47)
    | inverse(identity) != identity
    | multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))) = inverse(X_47) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),inverse(identity)))),inverse(X_47)) ),[0,1,1,1],$fot(identity)]]) ).

cnf(refute_0_255,plain,
    ( multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),inverse(identity)))) != inverse(X_47)
    | multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))) = inverse(X_47) ),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_129,refute_0_254]) ).

cnf(refute_0_256,plain,
    multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))) = inverse(X_47),
    inference(resolve,[$cnf( $equal(multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),inverse(identity)))),inverse(X_47)) )],[refute_0_253,refute_0_255]) ).

cnf(refute_0_257,plain,
    inverse(inverse(X_47)) = X_47,
    inference(subst,[],[refute_0_155:[bind(X_14,$fot(X_47))]]) ).

cnf(refute_0_258,plain,
    double_divide(inverse(X_47),identity) = inverse(inverse(X_47)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(X_47)))]]) ).

cnf(refute_0_259,plain,
    ( double_divide(inverse(X_47),identity) != inverse(inverse(X_47))
    | inverse(inverse(X_47)) != X_47
    | double_divide(inverse(X_47),identity) = X_47 ),
    inference(subst,[],[refute_0_19:[bind(X,$fot(double_divide(inverse(X_47),identity))),bind(Y,$fot(inverse(inverse(X_47)))),bind(Z,$fot(X_47))]]) ).

cnf(refute_0_260,plain,
    ( inverse(inverse(X_47)) != X_47
    | double_divide(inverse(X_47),identity) = X_47 ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_47),identity),inverse(inverse(X_47))) )],[refute_0_258,refute_0_259]) ).

cnf(refute_0_261,plain,
    double_divide(inverse(X_47),identity) = X_47,
    inference(resolve,[$cnf( $equal(inverse(inverse(X_47)),X_47) )],[refute_0_257,refute_0_260]) ).

cnf(refute_0_262,plain,
    double_divide(X_45,double_divide(inverse(X_47),identity)) = double_divide(X_45,double_divide(inverse(X_47),identity)),
    introduced(tautology,[refl,[$fot(double_divide(X_45,double_divide(inverse(X_47),identity)))]]) ).

cnf(refute_0_263,plain,
    ( double_divide(X_45,double_divide(inverse(X_47),identity)) != double_divide(X_45,double_divide(inverse(X_47),identity))
    | double_divide(inverse(X_47),identity) != X_47
    | double_divide(X_45,double_divide(inverse(X_47),identity)) = double_divide(X_45,X_47) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_45,double_divide(inverse(X_47),identity)),double_divide(X_45,double_divide(inverse(X_47),identity))) ),[1,1],$fot(X_47)]]) ).

cnf(refute_0_264,plain,
    ( double_divide(inverse(X_47),identity) != X_47
    | double_divide(X_45,double_divide(inverse(X_47),identity)) = double_divide(X_45,X_47) ),
    inference(resolve,[$cnf( $equal(double_divide(X_45,double_divide(inverse(X_47),identity)),double_divide(X_45,double_divide(inverse(X_47),identity))) )],[refute_0_262,refute_0_263]) ).

cnf(refute_0_265,plain,
    double_divide(X_45,double_divide(inverse(X_47),identity)) = double_divide(X_45,X_47),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_47),identity),X_47) )],[refute_0_261,refute_0_264]) ).

cnf(refute_0_266,plain,
    inverse(inverse(X_45)) = X_45,
    inference(subst,[],[refute_0_155:[bind(X_14,$fot(X_45))]]) ).

cnf(refute_0_267,plain,
    double_divide(identity,inverse(X_45)) = inverse(inverse(X_45)),
    inference(subst,[],[refute_0_196:[bind(X_14,$fot(inverse(X_45)))]]) ).

cnf(refute_0_268,plain,
    ( double_divide(identity,inverse(X_45)) != inverse(inverse(X_45))
    | inverse(inverse(X_45)) != X_45
    | double_divide(identity,inverse(X_45)) = X_45 ),
    inference(subst,[],[refute_0_19:[bind(X,$fot(double_divide(identity,inverse(X_45)))),bind(Y,$fot(inverse(inverse(X_45)))),bind(Z,$fot(X_45))]]) ).

cnf(refute_0_269,plain,
    ( inverse(inverse(X_45)) != X_45
    | double_divide(identity,inverse(X_45)) = X_45 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_45)),inverse(inverse(X_45))) )],[refute_0_267,refute_0_268]) ).

cnf(refute_0_270,plain,
    double_divide(identity,inverse(X_45)) = X_45,
    inference(resolve,[$cnf( $equal(inverse(inverse(X_45)),X_45) )],[refute_0_266,refute_0_269]) ).

cnf(refute_0_271,plain,
    double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)) = double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)))]]) ).

cnf(refute_0_272,plain,
    ( double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)) != double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))
    | double_divide(identity,inverse(X_45)) != X_45
    | double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)) = double_divide(X_45,double_divide(inverse(X_47),identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)),double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))) ),[1,0],$fot(X_45)]]) ).

cnf(refute_0_273,plain,
    ( double_divide(identity,inverse(X_45)) != X_45
    | double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)) = double_divide(X_45,double_divide(inverse(X_47),identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)),double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))) )],[refute_0_271,refute_0_272]) ).

cnf(refute_0_274,plain,
    double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)) = double_divide(X_45,double_divide(inverse(X_47),identity)),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_45)),X_45) )],[refute_0_270,refute_0_273]) ).

cnf(refute_0_275,plain,
    ( double_divide(X_45,double_divide(inverse(X_47),identity)) != double_divide(X_45,X_47)
    | double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)) != double_divide(X_45,double_divide(inverse(X_47),identity))
    | double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)) = double_divide(X_45,X_47) ),
    inference(subst,[],[refute_0_19:[bind(X,$fot(double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)))),bind(Y,$fot(double_divide(X_45,double_divide(inverse(X_47),identity)))),bind(Z,$fot(double_divide(X_45,X_47)))]]) ).

cnf(refute_0_276,plain,
    ( double_divide(X_45,double_divide(inverse(X_47),identity)) != double_divide(X_45,X_47)
    | double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)) = double_divide(X_45,X_47) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)),double_divide(X_45,double_divide(inverse(X_47),identity))) )],[refute_0_274,refute_0_275]) ).

cnf(refute_0_277,plain,
    double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)) = double_divide(X_45,X_47),
    inference(resolve,[$cnf( $equal(double_divide(X_45,double_divide(inverse(X_47),identity)),double_divide(X_45,X_47)) )],[refute_0_265,refute_0_276]) ).

cnf(refute_0_278,plain,
    multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))) = multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))),
    introduced(tautology,[refl,[$fot(multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))))]]) ).

cnf(refute_0_279,plain,
    ( multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))) != multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)))
    | double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)) != double_divide(X_45,X_47)
    | multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))) = multiply(X_45,double_divide(X_45,X_47)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))),multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)))) ),[1,1],$fot(double_divide(X_45,X_47))]]) ).

cnf(refute_0_280,plain,
    ( double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)) != double_divide(X_45,X_47)
    | multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))) = multiply(X_45,double_divide(X_45,X_47)) ),
    inference(resolve,[$cnf( $equal(multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))),multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)))) )],[refute_0_278,refute_0_279]) ).

cnf(refute_0_281,plain,
    multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))) = multiply(X_45,double_divide(X_45,X_47)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity)),double_divide(X_45,X_47)) )],[refute_0_277,refute_0_280]) ).

cnf(refute_0_282,plain,
    ( multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))) != multiply(X_45,double_divide(X_45,X_47))
    | multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))) != inverse(X_47)
    | multiply(X_45,double_divide(X_45,X_47)) = inverse(X_47) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))),inverse(X_47)) ),[0],$fot(multiply(X_45,double_divide(X_45,X_47)))]]) ).

cnf(refute_0_283,plain,
    ( multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))) != inverse(X_47)
    | multiply(X_45,double_divide(X_45,X_47)) = inverse(X_47) ),
    inference(resolve,[$cnf( $equal(multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))),multiply(X_45,double_divide(X_45,X_47))) )],[refute_0_281,refute_0_282]) ).

cnf(refute_0_284,plain,
    multiply(X_45,double_divide(X_45,X_47)) = inverse(X_47),
    inference(resolve,[$cnf( $equal(multiply(X_45,double_divide(double_divide(identity,inverse(X_45)),double_divide(inverse(X_47),identity))),inverse(X_47)) )],[refute_0_256,refute_0_283]) ).

cnf(refute_0_285,plain,
    multiply(inverse(X_35),double_divide(inverse(X_35),X_49)) = inverse(X_49),
    inference(subst,[],[refute_0_284:[bind(X_45,$fot(inverse(X_35))),bind(X_47,$fot(X_49))]]) ).

cnf(refute_0_286,plain,
    ( multiply(X_35,multiply(inverse(X_35),double_divide(inverse(X_35),X_49))) != double_divide(inverse(X_35),X_49)
    | multiply(inverse(X_35),double_divide(inverse(X_35),X_49)) != inverse(X_49)
    | multiply(X_35,inverse(X_49)) = double_divide(inverse(X_35),X_49) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_35,multiply(inverse(X_35),double_divide(inverse(X_35),X_49))),double_divide(inverse(X_35),X_49)) ),[0,1],$fot(inverse(X_49))]]) ).

cnf(refute_0_287,plain,
    ( multiply(X_35,multiply(inverse(X_35),double_divide(inverse(X_35),X_49))) != double_divide(inverse(X_35),X_49)
    | multiply(X_35,inverse(X_49)) = double_divide(inverse(X_35),X_49) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_35),double_divide(inverse(X_35),X_49)),inverse(X_49)) )],[refute_0_285,refute_0_286]) ).

cnf(refute_0_288,plain,
    multiply(X_35,inverse(X_49)) = double_divide(inverse(X_35),X_49),
    inference(resolve,[$cnf( $equal(multiply(X_35,multiply(inverse(X_35),double_divide(inverse(X_35),X_49))),double_divide(inverse(X_35),X_49)) )],[refute_0_252,refute_0_287]) ).

cnf(refute_0_289,plain,
    ( multiply(X_35,inverse(X_49)) != double_divide(inverse(X_35),X_49)
    | double_divide(inverse(X_35),X_49) = multiply(X_35,inverse(X_49)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_35,inverse(X_49)))),bind(Y,$fot(double_divide(inverse(X_35),X_49)))]]) ).

cnf(refute_0_290,plain,
    double_divide(inverse(X_35),X_49) = multiply(X_35,inverse(X_49)),
    inference(resolve,[$cnf( $equal(multiply(X_35,inverse(X_49)),double_divide(inverse(X_35),X_49)) )],[refute_0_288,refute_0_289]) ).

cnf(refute_0_291,plain,
    double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))) = multiply(C,inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),
    inference(subst,[],[refute_0_290:[bind(X_35,$fot(C)),bind(X_49,$fot(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))))]]) ).

cnf(refute_0_292,plain,
    ( multiply(C,inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))) != multiply(C,multiply(B,inverse(X_12)))
    | double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))) != multiply(C,inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))))
    | double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))) = multiply(C,multiply(B,inverse(X_12))) ),
    inference(subst,[],[refute_0_19:[bind(X,$fot(double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))))),bind(Y,$fot(multiply(C,inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))))),bind(Z,$fot(multiply(C,multiply(B,inverse(X_12)))))]]) ).

cnf(refute_0_293,plain,
    ( multiply(C,inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))) != multiply(C,multiply(B,inverse(X_12)))
    | double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))) = multiply(C,multiply(B,inverse(X_12))) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))),multiply(C,inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))))) )],[refute_0_291,refute_0_292]) ).

cnf(refute_0_294,plain,
    double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))) = multiply(C,multiply(B,inverse(X_12))),
    inference(resolve,[$cnf( $equal(multiply(C,inverse(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),multiply(C,multiply(B,inverse(X_12)))) )],[refute_0_251,refute_0_293]) ).

cnf(refute_0_295,plain,
    double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))) = double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),
    introduced(tautology,[refl,[$fot(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))))]]) ).

cnf(refute_0_296,plain,
    ( double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))) != double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))))
    | double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))) != multiply(C,multiply(B,inverse(X_12)))
    | double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))) = double_divide(X_12,multiply(C,multiply(B,inverse(X_12)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))))) ),[1,1],$fot(multiply(C,multiply(B,inverse(X_12))))]]) ).

cnf(refute_0_297,plain,
    ( double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))) != multiply(C,multiply(B,inverse(X_12)))
    | double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))) = double_divide(X_12,multiply(C,multiply(B,inverse(X_12)))) ),
    inference(resolve,[$cnf( $equal(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))))) )],[refute_0_295,refute_0_296]) ).

cnf(refute_0_298,plain,
    double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))) = double_divide(X_12,multiply(C,multiply(B,inverse(X_12)))),
    inference(resolve,[$cnf( $equal(double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B))),multiply(C,multiply(B,inverse(X_12)))) )],[refute_0_294,refute_0_297]) ).

cnf(refute_0_299,plain,
    double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B) = double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B))]]) ).

cnf(refute_0_300,plain,
    ( double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))) != double_divide(X_12,multiply(C,multiply(B,inverse(X_12))))
    | double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B) != double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B)
    | double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B) = double_divide(double_divide(X_12,multiply(C,multiply(B,inverse(X_12)))),B) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B),double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B)) ),[1,0],$fot(double_divide(X_12,multiply(C,multiply(B,inverse(X_12)))))]]) ).

cnf(refute_0_301,plain,
    ( double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))) != double_divide(X_12,multiply(C,multiply(B,inverse(X_12))))
    | double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B) = double_divide(double_divide(X_12,multiply(C,multiply(B,inverse(X_12)))),B) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B),double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B)) )],[refute_0_299,refute_0_300]) ).

cnf(refute_0_302,plain,
    double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B) = double_divide(double_divide(X_12,multiply(C,multiply(B,inverse(X_12)))),B),
    inference(resolve,[$cnf( $equal(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),double_divide(X_12,multiply(C,multiply(B,inverse(X_12))))) )],[refute_0_298,refute_0_301]) ).

cnf(refute_0_303,plain,
    ( double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B) != C
    | double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B) != double_divide(double_divide(X_12,multiply(C,multiply(B,inverse(X_12)))),B)
    | double_divide(double_divide(X_12,multiply(C,multiply(B,inverse(X_12)))),B) = C ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B),C) ),[0],$fot(double_divide(double_divide(X_12,multiply(C,multiply(B,inverse(X_12)))),B))]]) ).

cnf(refute_0_304,plain,
    ( double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B) != C
    | double_divide(double_divide(X_12,multiply(C,multiply(B,inverse(X_12)))),B) = C ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B),double_divide(double_divide(X_12,multiply(C,multiply(B,inverse(X_12)))),B)) )],[refute_0_302,refute_0_303]) ).

cnf(refute_0_305,plain,
    double_divide(double_divide(X_12,multiply(C,multiply(B,inverse(X_12)))),B) = C,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_12,double_divide(inverse(C),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,B)))),B),C) )],[refute_0_179,refute_0_304]) ).

cnf(refute_0_306,plain,
    double_divide(double_divide(X_106,multiply(multiply(X_50,inverse(multiply(X_104,inverse(X_106)))),multiply(X_104,inverse(X_106)))),X_104) = multiply(X_50,inverse(multiply(X_104,inverse(X_106)))),
    inference(subst,[],[refute_0_305:[bind(B,$fot(X_104)),bind(C,$fot(multiply(X_50,inverse(multiply(X_104,inverse(X_106)))))),bind(X_12,$fot(X_106))]]) ).

cnf(refute_0_307,plain,
    inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))) = double_divide(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10))),identity),
    inference(subst,[],[inverse:[bind(A,$fot(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))))]]) ).

cnf(refute_0_308,plain,
    double_divide(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10))),identity) = X_12,
    inference(subst,[],[refute_0_59:[bind(A,$fot(X_10)),bind(B,$fot(identity)),bind(C,$fot(X_12))]]) ).

cnf(refute_0_309,plain,
    ( double_divide(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10))),identity) != X_12
    | inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))) != double_divide(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10))),identity)
    | inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))),double_divide(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10))),identity)) ),[1],$fot(X_12)]]) ).

cnf(refute_0_310,plain,
    ( inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))) != double_divide(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10))),identity)
    | inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10))),identity),X_12) )],[refute_0_308,refute_0_309]) ).

cnf(refute_0_311,plain,
    inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))) = X_12,
    inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))),double_divide(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10))),identity)) )],[refute_0_307,refute_0_310]) ).

cnf(refute_0_312,plain,
    inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))) = multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))),
    inference(subst,[],[refute_0_70:[bind(A,$fot(double_divide(inverse(X_12),inverse(X_10)))),bind(B,$fot(double_divide(X_10,inverse(identity))))]]) ).

cnf(refute_0_313,plain,
    ( inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))) != X_12
    | inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))) != multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity)))
    | multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))),X_12) ),[0],$fot(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))))]]) ).

cnf(refute_0_314,plain,
    ( inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))) != X_12
    | multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) = X_12 ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity)))) )],[refute_0_312,refute_0_313]) ).

cnf(refute_0_315,plain,
    multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) = X_12,
    inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))),X_12) )],[refute_0_311,refute_0_314]) ).

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

cnf(refute_0_317,plain,
    double_divide(X_10,inverse(identity)) = double_divide(X_10,inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(X_10,inverse(identity)))]]) ).

cnf(refute_0_318,plain,
    ( double_divide(X_10,inverse(identity)) != double_divide(X_10,inverse(identity))
    | inverse(identity) != identity
    | double_divide(X_10,inverse(identity)) = double_divide(X_10,identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,inverse(identity)),double_divide(X_10,inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_319,plain,
    ( inverse(identity) != identity
    | double_divide(X_10,inverse(identity)) = double_divide(X_10,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(identity)),double_divide(X_10,inverse(identity))) )],[refute_0_317,refute_0_318]) ).

cnf(refute_0_320,plain,
    double_divide(X_10,inverse(identity)) = double_divide(X_10,identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_129,refute_0_319]) ).

cnf(refute_0_321,plain,
    ( double_divide(X_10,identity) != inverse(X_10)
    | double_divide(X_10,inverse(identity)) != double_divide(X_10,identity)
    | double_divide(X_10,inverse(identity)) = inverse(X_10) ),
    inference(subst,[],[refute_0_19:[bind(X,$fot(double_divide(X_10,inverse(identity)))),bind(Y,$fot(double_divide(X_10,identity))),bind(Z,$fot(inverse(X_10)))]]) ).

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

cnf(refute_0_323,plain,
    double_divide(X_10,inverse(identity)) = inverse(X_10),
    inference(resolve,[$cnf( $equal(double_divide(X_10,identity),inverse(X_10)) )],[refute_0_316,refute_0_322]) ).

cnf(refute_0_324,plain,
    multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) = multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))),
    introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))))]]) ).

cnf(refute_0_325,plain,
    ( multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) != multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity)))
    | double_divide(X_10,inverse(identity)) != inverse(X_10)
    | multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) = multiply(double_divide(inverse(X_12),inverse(X_10)),inverse(X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity)))) ),[1,1],$fot(inverse(X_10))]]) ).

cnf(refute_0_326,plain,
    ( double_divide(X_10,inverse(identity)) != inverse(X_10)
    | multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) = multiply(double_divide(inverse(X_12),inverse(X_10)),inverse(X_10)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity)))) )],[refute_0_324,refute_0_325]) ).

cnf(refute_0_327,plain,
    multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) = multiply(double_divide(inverse(X_12),inverse(X_10)),inverse(X_10)),
    inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(identity)),inverse(X_10)) )],[refute_0_323,refute_0_326]) ).

cnf(refute_0_328,plain,
    ( multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) != X_12
    | multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) != multiply(double_divide(inverse(X_12),inverse(X_10)),inverse(X_10))
    | multiply(double_divide(inverse(X_12),inverse(X_10)),inverse(X_10)) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))),X_12) ),[0],$fot(multiply(double_divide(inverse(X_12),inverse(X_10)),inverse(X_10)))]]) ).

cnf(refute_0_329,plain,
    ( multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) != X_12
    | multiply(double_divide(inverse(X_12),inverse(X_10)),inverse(X_10)) = X_12 ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))),multiply(double_divide(inverse(X_12),inverse(X_10)),inverse(X_10))) )],[refute_0_327,refute_0_328]) ).

cnf(refute_0_330,plain,
    multiply(double_divide(inverse(X_12),inverse(X_10)),inverse(X_10)) = X_12,
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))),X_12) )],[refute_0_315,refute_0_329]) ).

cnf(refute_0_331,plain,
    multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),inverse(inverse(X_14))) = X_24,
    inference(subst,[],[refute_0_330:[bind(X_10,$fot(inverse(X_14))),bind(X_12,$fot(X_24))]]) ).

cnf(refute_0_332,plain,
    ( multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),inverse(inverse(X_14))) != X_24
    | inverse(inverse(X_14)) != X_14
    | multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14) = X_24 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),inverse(inverse(X_14))),X_24) ),[0,1],$fot(X_14)]]) ).

cnf(refute_0_333,plain,
    ( multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),inverse(inverse(X_14))) != X_24
    | multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14) = X_24 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_14)),X_14) )],[refute_0_155,refute_0_332]) ).

cnf(refute_0_334,plain,
    multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14) = X_24,
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),inverse(inverse(X_14))),X_24) )],[refute_0_331,refute_0_333]) ).

cnf(refute_0_335,plain,
    double_divide(inverse(X_24),inverse(inverse(X_14))) = double_divide(inverse(X_24),inverse(inverse(X_14))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(X_24),inverse(inverse(X_14))))]]) ).

cnf(refute_0_336,plain,
    ( double_divide(inverse(X_24),inverse(inverse(X_14))) != double_divide(inverse(X_24),inverse(inverse(X_14)))
    | inverse(inverse(X_14)) != X_14
    | double_divide(inverse(X_24),inverse(inverse(X_14))) = double_divide(inverse(X_24),X_14) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_24),inverse(inverse(X_14))),double_divide(inverse(X_24),inverse(inverse(X_14)))) ),[1,1],$fot(X_14)]]) ).

cnf(refute_0_337,plain,
    ( inverse(inverse(X_14)) != X_14
    | double_divide(inverse(X_24),inverse(inverse(X_14))) = double_divide(inverse(X_24),X_14) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_24),inverse(inverse(X_14))),double_divide(inverse(X_24),inverse(inverse(X_14)))) )],[refute_0_335,refute_0_336]) ).

cnf(refute_0_338,plain,
    double_divide(inverse(X_24),inverse(inverse(X_14))) = double_divide(inverse(X_24),X_14),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_14)),X_14) )],[refute_0_155,refute_0_337]) ).

cnf(refute_0_339,plain,
    multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14) = multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14),
    introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14))]]) ).

cnf(refute_0_340,plain,
    ( multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14) != multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14)
    | double_divide(inverse(X_24),inverse(inverse(X_14))) != double_divide(inverse(X_24),X_14)
    | multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14) = multiply(double_divide(inverse(X_24),X_14),X_14) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14),multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14)) ),[1,0],$fot(double_divide(inverse(X_24),X_14))]]) ).

cnf(refute_0_341,plain,
    ( double_divide(inverse(X_24),inverse(inverse(X_14))) != double_divide(inverse(X_24),X_14)
    | multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14) = multiply(double_divide(inverse(X_24),X_14),X_14) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14),multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14)) )],[refute_0_339,refute_0_340]) ).

cnf(refute_0_342,plain,
    multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14) = multiply(double_divide(inverse(X_24),X_14),X_14),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_24),inverse(inverse(X_14))),double_divide(inverse(X_24),X_14)) )],[refute_0_338,refute_0_341]) ).

cnf(refute_0_343,plain,
    ( multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14) != X_24
    | multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14) != multiply(double_divide(inverse(X_24),X_14),X_14)
    | multiply(double_divide(inverse(X_24),X_14),X_14) = X_24 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14),X_24) ),[0],$fot(multiply(double_divide(inverse(X_24),X_14),X_14))]]) ).

cnf(refute_0_344,plain,
    ( multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14) != X_24
    | multiply(double_divide(inverse(X_24),X_14),X_14) = X_24 ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14),multiply(double_divide(inverse(X_24),X_14),X_14)) )],[refute_0_342,refute_0_343]) ).

cnf(refute_0_345,plain,
    multiply(double_divide(inverse(X_24),X_14),X_14) = X_24,
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_24),inverse(inverse(X_14))),X_14),X_24) )],[refute_0_334,refute_0_344]) ).

cnf(refute_0_346,plain,
    multiply(double_divide(inverse(inverse(X_14)),X_25),X_25) = inverse(X_14),
    inference(subst,[],[refute_0_345:[bind(X_14,$fot(X_25)),bind(X_24,$fot(inverse(X_14)))]]) ).

cnf(refute_0_347,plain,
    ( multiply(double_divide(inverse(inverse(X_14)),X_25),X_25) != inverse(X_14)
    | inverse(inverse(X_14)) != X_14
    | multiply(double_divide(X_14,X_25),X_25) = inverse(X_14) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_14)),X_25),X_25),inverse(X_14)) ),[0,0,0],$fot(X_14)]]) ).

cnf(refute_0_348,plain,
    ( multiply(double_divide(inverse(inverse(X_14)),X_25),X_25) != inverse(X_14)
    | multiply(double_divide(X_14,X_25),X_25) = inverse(X_14) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_14)),X_14) )],[refute_0_155,refute_0_347]) ).

cnf(refute_0_349,plain,
    multiply(double_divide(X_14,X_25),X_25) = inverse(X_14),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_14)),X_25),X_25),inverse(X_14)) )],[refute_0_346,refute_0_348]) ).

cnf(refute_0_350,plain,
    multiply(double_divide(inverse(X_50),X_25),X_25) = inverse(inverse(X_50)),
    inference(subst,[],[refute_0_349:[bind(X_14,$fot(inverse(X_50)))]]) ).

cnf(refute_0_351,plain,
    multiply(X_50,inverse(X_25)) = double_divide(inverse(X_50),X_25),
    inference(subst,[],[refute_0_288:[bind(X_35,$fot(X_50)),bind(X_49,$fot(X_25))]]) ).

cnf(refute_0_352,plain,
    ( multiply(X_50,inverse(X_25)) != double_divide(inverse(X_50),X_25)
    | double_divide(inverse(X_50),X_25) = multiply(X_50,inverse(X_25)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_50,inverse(X_25)))),bind(Y,$fot(double_divide(inverse(X_50),X_25)))]]) ).

cnf(refute_0_353,plain,
    double_divide(inverse(X_50),X_25) = multiply(X_50,inverse(X_25)),
    inference(resolve,[$cnf( $equal(multiply(X_50,inverse(X_25)),double_divide(inverse(X_50),X_25)) )],[refute_0_351,refute_0_352]) ).

cnf(refute_0_354,plain,
    ( multiply(double_divide(inverse(X_50),X_25),X_25) != inverse(inverse(X_50))
    | double_divide(inverse(X_50),X_25) != multiply(X_50,inverse(X_25))
    | multiply(multiply(X_50,inverse(X_25)),X_25) = inverse(inverse(X_50)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_50),X_25),X_25),inverse(inverse(X_50))) ),[0,0],$fot(multiply(X_50,inverse(X_25)))]]) ).

cnf(refute_0_355,plain,
    ( multiply(double_divide(inverse(X_50),X_25),X_25) != inverse(inverse(X_50))
    | multiply(multiply(X_50,inverse(X_25)),X_25) = inverse(inverse(X_50)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_50),X_25),multiply(X_50,inverse(X_25))) )],[refute_0_353,refute_0_354]) ).

cnf(refute_0_356,plain,
    multiply(multiply(X_50,inverse(X_25)),X_25) = inverse(inverse(X_50)),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_50),X_25),X_25),inverse(inverse(X_50))) )],[refute_0_350,refute_0_355]) ).

cnf(refute_0_357,plain,
    inverse(inverse(X_50)) = X_50,
    inference(subst,[],[refute_0_155:[bind(X_14,$fot(X_50))]]) ).

cnf(refute_0_358,plain,
    ( multiply(multiply(X_50,inverse(X_25)),X_25) != inverse(inverse(X_50))
    | inverse(inverse(X_50)) != X_50
    | multiply(multiply(X_50,inverse(X_25)),X_25) = X_50 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_50,inverse(X_25)),X_25),X_50) ),[0],$fot(inverse(inverse(X_50)))]]) ).

cnf(refute_0_359,plain,
    ( multiply(multiply(X_50,inverse(X_25)),X_25) != inverse(inverse(X_50))
    | multiply(multiply(X_50,inverse(X_25)),X_25) = X_50 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_50)),X_50) )],[refute_0_357,refute_0_358]) ).

cnf(refute_0_360,plain,
    multiply(multiply(X_50,inverse(X_25)),X_25) = X_50,
    inference(resolve,[$cnf( $equal(multiply(multiply(X_50,inverse(X_25)),X_25),inverse(inverse(X_50))) )],[refute_0_356,refute_0_359]) ).

cnf(refute_0_361,plain,
    multiply(multiply(X_50,inverse(multiply(X_104,inverse(X_106)))),multiply(X_104,inverse(X_106))) = X_50,
    inference(subst,[],[refute_0_360:[bind(X_25,$fot(multiply(X_104,inverse(X_106))))]]) ).

cnf(refute_0_362,plain,
    ( multiply(multiply(X_50,inverse(multiply(X_104,inverse(X_106)))),multiply(X_104,inverse(X_106))) != X_50
    | double_divide(double_divide(X_106,multiply(multiply(X_50,inverse(multiply(X_104,inverse(X_106)))),multiply(X_104,inverse(X_106)))),X_104) != multiply(X_50,inverse(multiply(X_104,inverse(X_106))))
    | double_divide(double_divide(X_106,X_50),X_104) = multiply(X_50,inverse(multiply(X_104,inverse(X_106)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_106,multiply(multiply(X_50,inverse(multiply(X_104,inverse(X_106)))),multiply(X_104,inverse(X_106)))),X_104),multiply(X_50,inverse(multiply(X_104,inverse(X_106))))) ),[0,0,1],$fot(X_50)]]) ).

cnf(refute_0_363,plain,
    ( double_divide(double_divide(X_106,multiply(multiply(X_50,inverse(multiply(X_104,inverse(X_106)))),multiply(X_104,inverse(X_106)))),X_104) != multiply(X_50,inverse(multiply(X_104,inverse(X_106))))
    | double_divide(double_divide(X_106,X_50),X_104) = multiply(X_50,inverse(multiply(X_104,inverse(X_106)))) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_50,inverse(multiply(X_104,inverse(X_106)))),multiply(X_104,inverse(X_106))),X_50) )],[refute_0_361,refute_0_362]) ).

cnf(refute_0_364,plain,
    double_divide(double_divide(X_106,X_50),X_104) = multiply(X_50,inverse(multiply(X_104,inverse(X_106)))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_106,multiply(multiply(X_50,inverse(multiply(X_104,inverse(X_106)))),multiply(X_104,inverse(X_106)))),X_104),multiply(X_50,inverse(multiply(X_104,inverse(X_106))))) )],[refute_0_306,refute_0_363]) ).

cnf(refute_0_365,plain,
    double_divide(inverse(X_106),X_104) = multiply(X_106,inverse(X_104)),
    inference(subst,[],[refute_0_290:[bind(X_35,$fot(X_106)),bind(X_49,$fot(X_104))]]) ).

cnf(refute_0_366,plain,
    inverse(multiply(X_104,inverse(X_106))) = double_divide(inverse(X_106),X_104),
    inference(subst,[],[refute_0_243:[bind(A,$fot(X_104)),bind(B,$fot(inverse(X_106)))]]) ).

cnf(refute_0_367,plain,
    ( double_divide(inverse(X_106),X_104) != multiply(X_106,inverse(X_104))
    | inverse(multiply(X_104,inverse(X_106))) != double_divide(inverse(X_106),X_104)
    | inverse(multiply(X_104,inverse(X_106))) = multiply(X_106,inverse(X_104)) ),
    inference(subst,[],[refute_0_19:[bind(X,$fot(inverse(multiply(X_104,inverse(X_106))))),bind(Y,$fot(double_divide(inverse(X_106),X_104))),bind(Z,$fot(multiply(X_106,inverse(X_104))))]]) ).

cnf(refute_0_368,plain,
    ( double_divide(inverse(X_106),X_104) != multiply(X_106,inverse(X_104))
    | inverse(multiply(X_104,inverse(X_106))) = multiply(X_106,inverse(X_104)) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_104,inverse(X_106))),double_divide(inverse(X_106),X_104)) )],[refute_0_366,refute_0_367]) ).

cnf(refute_0_369,plain,
    inverse(multiply(X_104,inverse(X_106))) = multiply(X_106,inverse(X_104)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_106),X_104),multiply(X_106,inverse(X_104))) )],[refute_0_365,refute_0_368]) ).

cnf(refute_0_370,plain,
    multiply(X_50,inverse(multiply(X_104,inverse(X_106)))) = multiply(X_50,inverse(multiply(X_104,inverse(X_106)))),
    introduced(tautology,[refl,[$fot(multiply(X_50,inverse(multiply(X_104,inverse(X_106)))))]]) ).

cnf(refute_0_371,plain,
    ( multiply(X_50,inverse(multiply(X_104,inverse(X_106)))) != multiply(X_50,inverse(multiply(X_104,inverse(X_106))))
    | inverse(multiply(X_104,inverse(X_106))) != multiply(X_106,inverse(X_104))
    | multiply(X_50,inverse(multiply(X_104,inverse(X_106)))) = multiply(X_50,multiply(X_106,inverse(X_104))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_50,inverse(multiply(X_104,inverse(X_106)))),multiply(X_50,inverse(multiply(X_104,inverse(X_106))))) ),[1,1],$fot(multiply(X_106,inverse(X_104)))]]) ).

cnf(refute_0_372,plain,
    ( inverse(multiply(X_104,inverse(X_106))) != multiply(X_106,inverse(X_104))
    | multiply(X_50,inverse(multiply(X_104,inverse(X_106)))) = multiply(X_50,multiply(X_106,inverse(X_104))) ),
    inference(resolve,[$cnf( $equal(multiply(X_50,inverse(multiply(X_104,inverse(X_106)))),multiply(X_50,inverse(multiply(X_104,inverse(X_106))))) )],[refute_0_370,refute_0_371]) ).

cnf(refute_0_373,plain,
    multiply(X_50,inverse(multiply(X_104,inverse(X_106)))) = multiply(X_50,multiply(X_106,inverse(X_104))),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_104,inverse(X_106))),multiply(X_106,inverse(X_104))) )],[refute_0_369,refute_0_372]) ).

cnf(refute_0_374,plain,
    ( multiply(X_50,inverse(multiply(X_104,inverse(X_106)))) != multiply(X_50,multiply(X_106,inverse(X_104)))
    | double_divide(double_divide(X_106,X_50),X_104) != multiply(X_50,inverse(multiply(X_104,inverse(X_106))))
    | double_divide(double_divide(X_106,X_50),X_104) = multiply(X_50,multiply(X_106,inverse(X_104))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_106,X_50),X_104),multiply(X_50,inverse(multiply(X_104,inverse(X_106))))) ),[1],$fot(multiply(X_50,multiply(X_106,inverse(X_104))))]]) ).

cnf(refute_0_375,plain,
    ( double_divide(double_divide(X_106,X_50),X_104) != multiply(X_50,inverse(multiply(X_104,inverse(X_106))))
    | double_divide(double_divide(X_106,X_50),X_104) = multiply(X_50,multiply(X_106,inverse(X_104))) ),
    inference(resolve,[$cnf( $equal(multiply(X_50,inverse(multiply(X_104,inverse(X_106)))),multiply(X_50,multiply(X_106,inverse(X_104)))) )],[refute_0_373,refute_0_374]) ).

cnf(refute_0_376,plain,
    double_divide(double_divide(X_106,X_50),X_104) = multiply(X_50,multiply(X_106,inverse(X_104))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_106,X_50),X_104),multiply(X_50,inverse(multiply(X_104,inverse(X_106))))) )],[refute_0_364,refute_0_375]) ).

cnf(refute_0_377,plain,
    double_divide(double_divide(X_108,X_109),inverse(X_14)) = multiply(X_109,multiply(X_108,inverse(inverse(X_14)))),
    inference(subst,[],[refute_0_376:[bind(X_104,$fot(inverse(X_14))),bind(X_106,$fot(X_108)),bind(X_50,$fot(X_109))]]) ).

cnf(refute_0_378,plain,
    ( double_divide(double_divide(X_108,X_109),inverse(X_14)) != multiply(X_109,multiply(X_108,inverse(inverse(X_14))))
    | inverse(inverse(X_14)) != X_14
    | double_divide(double_divide(X_108,X_109),inverse(X_14)) = multiply(X_109,multiply(X_108,X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_108,X_109),inverse(X_14)),multiply(X_109,multiply(X_108,inverse(inverse(X_14))))) ),[1,1,1],$fot(X_14)]]) ).

cnf(refute_0_379,plain,
    ( double_divide(double_divide(X_108,X_109),inverse(X_14)) != multiply(X_109,multiply(X_108,inverse(inverse(X_14))))
    | double_divide(double_divide(X_108,X_109),inverse(X_14)) = multiply(X_109,multiply(X_108,X_14)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_14)),X_14) )],[refute_0_155,refute_0_378]) ).

cnf(refute_0_380,plain,
    double_divide(double_divide(X_108,X_109),inverse(X_14)) = multiply(X_109,multiply(X_108,X_14)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_108,X_109),inverse(X_14)),multiply(X_109,multiply(X_108,inverse(inverse(X_14))))) )],[refute_0_377,refute_0_379]) ).

cnf(refute_0_381,plain,
    inverse(double_divide(X_108,X_109)) = multiply(X_109,X_108),
    inference(subst,[],[refute_0_70:[bind(A,$fot(X_109)),bind(B,$fot(X_108))]]) ).

cnf(refute_0_382,plain,
    multiply(inverse(double_divide(X_108,X_109)),X_14) = multiply(inverse(double_divide(X_108,X_109)),X_14),
    introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_108,X_109)),X_14))]]) ).

cnf(refute_0_383,plain,
    ( multiply(inverse(double_divide(X_108,X_109)),X_14) != multiply(inverse(double_divide(X_108,X_109)),X_14)
    | inverse(double_divide(X_108,X_109)) != multiply(X_109,X_108)
    | multiply(inverse(double_divide(X_108,X_109)),X_14) = multiply(multiply(X_109,X_108),X_14) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_108,X_109)),X_14),multiply(inverse(double_divide(X_108,X_109)),X_14)) ),[1,0],$fot(multiply(X_109,X_108))]]) ).

cnf(refute_0_384,plain,
    ( inverse(double_divide(X_108,X_109)) != multiply(X_109,X_108)
    | multiply(inverse(double_divide(X_108,X_109)),X_14) = multiply(multiply(X_109,X_108),X_14) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_108,X_109)),X_14),multiply(inverse(double_divide(X_108,X_109)),X_14)) )],[refute_0_382,refute_0_383]) ).

cnf(refute_0_385,plain,
    multiply(inverse(double_divide(X_108,X_109)),X_14) = multiply(multiply(X_109,X_108),X_14),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_108,X_109)),multiply(X_109,X_108)) )],[refute_0_381,refute_0_384]) ).

cnf(refute_0_386,plain,
    multiply(inverse(X_14),multiply(inverse(inverse(X_14)),X_37)) = X_37,
    inference(subst,[],[refute_0_214:[bind(X_14,$fot(X_37)),bind(X_35,$fot(inverse(X_14)))]]) ).

cnf(refute_0_387,plain,
    ( multiply(inverse(X_14),multiply(inverse(inverse(X_14)),X_37)) != X_37
    | inverse(inverse(X_14)) != X_14
    | multiply(inverse(X_14),multiply(X_14,X_37)) = X_37 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_14),multiply(inverse(inverse(X_14)),X_37)),X_37) ),[0,1,0],$fot(X_14)]]) ).

cnf(refute_0_388,plain,
    ( multiply(inverse(X_14),multiply(inverse(inverse(X_14)),X_37)) != X_37
    | multiply(inverse(X_14),multiply(X_14,X_37)) = X_37 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_14)),X_14) )],[refute_0_155,refute_0_387]) ).

cnf(refute_0_389,plain,
    multiply(inverse(X_14),multiply(X_14,X_37)) = X_37,
    inference(resolve,[$cnf( $equal(multiply(inverse(X_14),multiply(inverse(inverse(X_14)),X_37)),X_37) )],[refute_0_386,refute_0_388]) ).

cnf(refute_0_390,plain,
    multiply(inverse(X_14),multiply(X_14,double_divide(X_14,X_49))) = double_divide(X_14,X_49),
    inference(subst,[],[refute_0_389:[bind(X_37,$fot(double_divide(X_14,X_49)))]]) ).

cnf(refute_0_391,plain,
    multiply(X_14,double_divide(X_14,X_49)) = inverse(X_49),
    inference(subst,[],[refute_0_284:[bind(X_45,$fot(X_14)),bind(X_47,$fot(X_49))]]) ).

cnf(refute_0_392,plain,
    ( multiply(X_14,double_divide(X_14,X_49)) != inverse(X_49)
    | multiply(inverse(X_14),multiply(X_14,double_divide(X_14,X_49))) != double_divide(X_14,X_49)
    | multiply(inverse(X_14),inverse(X_49)) = double_divide(X_14,X_49) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_14),multiply(X_14,double_divide(X_14,X_49))),double_divide(X_14,X_49)) ),[0,1],$fot(inverse(X_49))]]) ).

cnf(refute_0_393,plain,
    ( multiply(inverse(X_14),multiply(X_14,double_divide(X_14,X_49))) != double_divide(X_14,X_49)
    | multiply(inverse(X_14),inverse(X_49)) = double_divide(X_14,X_49) ),
    inference(resolve,[$cnf( $equal(multiply(X_14,double_divide(X_14,X_49)),inverse(X_49)) )],[refute_0_391,refute_0_392]) ).

cnf(refute_0_394,plain,
    multiply(inverse(X_14),inverse(X_49)) = double_divide(X_14,X_49),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_14),multiply(X_14,double_divide(X_14,X_49))),double_divide(X_14,X_49)) )],[refute_0_390,refute_0_393]) ).

cnf(refute_0_395,plain,
    multiply(inverse(X_52),inverse(inverse(X_14))) = double_divide(X_52,inverse(X_14)),
    inference(subst,[],[refute_0_394:[bind(X_14,$fot(X_52)),bind(X_49,$fot(inverse(X_14)))]]) ).

cnf(refute_0_396,plain,
    ( multiply(inverse(X_52),inverse(inverse(X_14))) != double_divide(X_52,inverse(X_14))
    | inverse(inverse(X_14)) != X_14
    | multiply(inverse(X_52),X_14) = double_divide(X_52,inverse(X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_52),inverse(inverse(X_14))),double_divide(X_52,inverse(X_14))) ),[0,1],$fot(X_14)]]) ).

cnf(refute_0_397,plain,
    ( multiply(inverse(X_52),inverse(inverse(X_14))) != double_divide(X_52,inverse(X_14))
    | multiply(inverse(X_52),X_14) = double_divide(X_52,inverse(X_14)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_14)),X_14) )],[refute_0_155,refute_0_396]) ).

cnf(refute_0_398,plain,
    multiply(inverse(X_52),X_14) = double_divide(X_52,inverse(X_14)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_52),inverse(inverse(X_14))),double_divide(X_52,inverse(X_14))) )],[refute_0_395,refute_0_397]) ).

cnf(refute_0_399,plain,
    ( multiply(inverse(X_52),X_14) != double_divide(X_52,inverse(X_14))
    | double_divide(X_52,inverse(X_14)) = multiply(inverse(X_52),X_14) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_52),X_14))),bind(Y,$fot(double_divide(X_52,inverse(X_14))))]]) ).

cnf(refute_0_400,plain,
    double_divide(X_52,inverse(X_14)) = multiply(inverse(X_52),X_14),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_52),X_14),double_divide(X_52,inverse(X_14))) )],[refute_0_398,refute_0_399]) ).

cnf(refute_0_401,plain,
    double_divide(double_divide(X_108,X_109),inverse(X_14)) = multiply(inverse(double_divide(X_108,X_109)),X_14),
    inference(subst,[],[refute_0_400:[bind(X_52,$fot(double_divide(X_108,X_109)))]]) ).

cnf(refute_0_402,plain,
    ( multiply(inverse(double_divide(X_108,X_109)),X_14) != multiply(multiply(X_109,X_108),X_14)
    | double_divide(double_divide(X_108,X_109),inverse(X_14)) != multiply(inverse(double_divide(X_108,X_109)),X_14)
    | double_divide(double_divide(X_108,X_109),inverse(X_14)) = multiply(multiply(X_109,X_108),X_14) ),
    inference(subst,[],[refute_0_19:[bind(X,$fot(double_divide(double_divide(X_108,X_109),inverse(X_14)))),bind(Y,$fot(multiply(inverse(double_divide(X_108,X_109)),X_14))),bind(Z,$fot(multiply(multiply(X_109,X_108),X_14)))]]) ).

cnf(refute_0_403,plain,
    ( multiply(inverse(double_divide(X_108,X_109)),X_14) != multiply(multiply(X_109,X_108),X_14)
    | double_divide(double_divide(X_108,X_109),inverse(X_14)) = multiply(multiply(X_109,X_108),X_14) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_108,X_109),inverse(X_14)),multiply(inverse(double_divide(X_108,X_109)),X_14)) )],[refute_0_401,refute_0_402]) ).

cnf(refute_0_404,plain,
    double_divide(double_divide(X_108,X_109),inverse(X_14)) = multiply(multiply(X_109,X_108),X_14),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_108,X_109)),X_14),multiply(multiply(X_109,X_108),X_14)) )],[refute_0_385,refute_0_403]) ).

cnf(refute_0_405,plain,
    ( double_divide(double_divide(X_108,X_109),inverse(X_14)) != multiply(X_109,multiply(X_108,X_14))
    | double_divide(double_divide(X_108,X_109),inverse(X_14)) != multiply(multiply(X_109,X_108),X_14)
    | multiply(multiply(X_109,X_108),X_14) = multiply(X_109,multiply(X_108,X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_108,X_109),inverse(X_14)),multiply(X_109,multiply(X_108,X_14))) ),[0],$fot(multiply(multiply(X_109,X_108),X_14))]]) ).

cnf(refute_0_406,plain,
    ( double_divide(double_divide(X_108,X_109),inverse(X_14)) != multiply(X_109,multiply(X_108,X_14))
    | multiply(multiply(X_109,X_108),X_14) = multiply(X_109,multiply(X_108,X_14)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_108,X_109),inverse(X_14)),multiply(multiply(X_109,X_108),X_14)) )],[refute_0_404,refute_0_405]) ).

cnf(refute_0_407,plain,
    multiply(multiply(X_109,X_108),X_14) = multiply(X_109,multiply(X_108,X_14)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_108,X_109),inverse(X_14)),multiply(X_109,multiply(X_108,X_14))) )],[refute_0_380,refute_0_406]) ).

cnf(refute_0_408,plain,
    multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
    inference(subst,[],[refute_0_407:[bind(X_108,$fot(b3)),bind(X_109,$fot(a3)),bind(X_14,$fot(c3))]]) ).

cnf(refute_0_409,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_410,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_408,refute_0_409]) ).

cnf(refute_0_411,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_410,prove_these_axioms_3]) ).

cnf(refute_0_412,plain,
    multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
    introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).

cnf(refute_0_413,plain,
    $false,
    inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_412,refute_0_411]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GRP483-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.15/0.35  % Computer : n018.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Tue Jun 14 10:51:28 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50  
% 0.21/0.50  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.21/0.57  
%------------------------------------------------------------------------------