%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP487-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

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

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   46
%            Number of leaves      :   73
% Syntax   : Number of clauses     :  236 ( 120 unt;   0 nHn; 140 RR)
%            Number of literals    :  407 ( 406 equ; 174 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  319 (   0 sgn)

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

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

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

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

cnf(prove_these_axioms_1,negated_conjecture,
    multiply(inverse(a1),a1) != identity ).

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

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

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

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

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

cnf(refute_0_5,plain,
    double_divide(double_divide(A,identity),double_divide(B,C)) = double_divide(double_divide(A,identity),double_divide(B,C)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(A,identity),double_divide(B,C)))]]) ).

cnf(refute_0_6,plain,
    ( double_divide(A,identity) != inverse(A)
    | double_divide(double_divide(A,identity),double_divide(B,C)) != double_divide(double_divide(A,identity),double_divide(B,C))
    | double_divide(double_divide(A,identity),double_divide(B,C)) = double_divide(inverse(A),double_divide(B,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,identity),double_divide(B,C)),double_divide(double_divide(A,identity),double_divide(B,C))) ),[1,0],$fot(inverse(A))]]) ).

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

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

cnf(refute_0_9,plain,
    double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))) = double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))))]]) ).

cnf(refute_0_10,plain,
    ( double_divide(double_divide(A,identity),double_divide(B,C)) != double_divide(inverse(A),double_divide(B,C))
    | double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))) != double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C)))
    | double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))) = double_divide(identity,double_divide(inverse(A),double_divide(B,C))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C)))) ),[1,1],$fot(double_divide(inverse(A),double_divide(B,C)))]]) ).

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

cnf(refute_0_12,plain,
    double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))) = double_divide(identity,double_divide(inverse(A),double_divide(B,C))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,identity),double_divide(B,C)),double_divide(inverse(A),double_divide(B,C))) )],[refute_0_8,refute_0_11]) ).

cnf(refute_0_13,plain,
    double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B) = double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B))]]) ).

cnf(refute_0_14,plain,
    ( double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B) != double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)
    | double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))) != double_divide(identity,double_divide(inverse(A),double_divide(B,C)))
    | double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B) = double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)) ),[1,0],$fot(double_divide(identity,double_divide(inverse(A),double_divide(B,C))))]]) ).

cnf(refute_0_15,plain,
    ( double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))) != double_divide(identity,double_divide(inverse(A),double_divide(B,C)))
    | double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B) = double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)) )],[refute_0_13,refute_0_14]) ).

cnf(refute_0_16,plain,
    double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B) = double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),double_divide(identity,double_divide(inverse(A),double_divide(B,C)))) )],[refute_0_12,refute_0_15]) ).

cnf(refute_0_17,plain,
    inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)) = inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)),
    introduced(tautology,[refl,[$fot(inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)))]]) ).

cnf(refute_0_18,plain,
    ( double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B) != double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)
    | inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)) != inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B))
    | inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)) = inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)),inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B))) ),[1,0],$fot(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))]]) ).

cnf(refute_0_19,plain,
    ( double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B) != double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)
    | inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)) = inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)),inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B))) )],[refute_0_17,refute_0_18]) ).

cnf(refute_0_20,plain,
    inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)) = inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)) )],[refute_0_16,refute_0_19]) ).

cnf(refute_0_21,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity) = inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)))]]) ).

cnf(refute_0_22,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_23,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_22]) ).

cnf(refute_0_24,plain,
    ( double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity) != inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B))
    | inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)) != inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))
    | double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity) = inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)) ),
    inference(subst,[],[refute_0_23:[bind(X,$fot(double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity))),bind(Y,$fot(inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)))),bind(Z,$fot(inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))))]]) ).

cnf(refute_0_25,plain,
    ( inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)) != inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))
    | double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity) = inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity),inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B))) )],[refute_0_21,refute_0_24]) ).

cnf(refute_0_26,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity) = inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B)),inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) )],[refute_0_20,refute_0_25]) ).

cnf(refute_0_27,plain,
    double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) = double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)),
    introduced(tautology,[refl,[$fot(double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)))]]) ).

cnf(refute_0_28,plain,
    ( double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) != double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity))
    | double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity) != inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))
    | double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) = double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)),double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity))) ),[1,1],$fot(inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)))]]) ).

cnf(refute_0_29,plain,
    ( double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity) != inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))
    | double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) = double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) ),
    inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)),double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity))) )],[refute_0_27,refute_0_28]) ).

cnf(refute_0_30,plain,
    double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) = double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity),inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) )],[refute_0_26,refute_0_29]) ).

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

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

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

cnf(refute_0_34,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_35,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_36,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_34,refute_0_35]) ).

cnf(refute_0_37,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_36]) ).

cnf(refute_0_38,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_39,plain,
    inverse(double_divide(B,A)) = multiply(A,B),
    inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[refute_0_37,refute_0_38]) ).

cnf(refute_0_40,plain,
    inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)) = multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C)))),
    inference(subst,[],[refute_0_39:[bind(A,$fot(B)),bind(B,$fot(double_divide(identity,double_divide(inverse(A),double_divide(B,C)))))]]) ).

cnf(refute_0_41,plain,
    double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) = double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))),
    introduced(tautology,[refl,[$fot(double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))))]]) ).

cnf(refute_0_42,plain,
    ( double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) != double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)))
    | inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)) != multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))
    | double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) = double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))),double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)))) ),[1,1],$fot(multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C)))))]]) ).

cnf(refute_0_43,plain,
    ( inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)) != multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))
    | double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) = double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))) ),
    inference(resolve,[$cnf( $equal(double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))),double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)))) )],[refute_0_41,refute_0_42]) ).

cnf(refute_0_44,plain,
    double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) = double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))),
    inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B)),multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))) )],[refute_0_40,refute_0_43]) ).

cnf(refute_0_45,plain,
    ( double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) != C
    | double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))) != double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C)))))
    | double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))) = C ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))),C) ),[0],$fot(double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))))]]) ).

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

cnf(refute_0_47,plain,
    double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,C))))) = C,
    inference(resolve,[$cnf( $equal(double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),double_divide(B,C))),B))),C) )],[refute_0_33,refute_0_46]) ).

cnf(refute_0_48,plain,
    double_divide(X_8,multiply(identity,double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))) = X_10,
    inference(subst,[],[refute_0_47:[bind(A,$fot(X_8)),bind(B,$fot(identity)),bind(C,$fot(X_10))]]) ).

cnf(refute_0_49,plain,
    multiply(identity,X_3) = inverse(double_divide(X_3,identity)),
    inference(subst,[],[refute_0_37:[bind(A,$fot(identity)),bind(B,$fot(X_3))]]) ).

cnf(refute_0_50,plain,
    inverse(X_3) = double_divide(X_3,identity),
    inference(subst,[],[inverse:[bind(A,$fot(X_3))]]) ).

cnf(refute_0_51,plain,
    ( inverse(X_3) != double_divide(X_3,identity)
    | double_divide(X_3,identity) = inverse(X_3) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_3))),bind(Y,$fot(double_divide(X_3,identity)))]]) ).

cnf(refute_0_52,plain,
    double_divide(X_3,identity) = inverse(X_3),
    inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_50,refute_0_51]) ).

cnf(refute_0_53,plain,
    ( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
    | double_divide(X_3,identity) != inverse(X_3)
    | multiply(identity,X_3) = inverse(inverse(X_3)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) ),[1,0],$fot(inverse(X_3))]]) ).

cnf(refute_0_54,plain,
    ( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
    | multiply(identity,X_3) = inverse(inverse(X_3)) ),
    inference(resolve,[$cnf( $equal(double_divide(X_3,identity),inverse(X_3)) )],[refute_0_52,refute_0_53]) ).

cnf(refute_0_55,plain,
    multiply(identity,X_3) = inverse(inverse(X_3)),
    inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) )],[refute_0_49,refute_0_54]) ).

cnf(refute_0_56,plain,
    multiply(identity,double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))) = inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))),
    inference(subst,[],[refute_0_55:[bind(X_3,$fot(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))]]) ).

cnf(refute_0_57,plain,
    ( multiply(identity,double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))) != inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))
    | double_divide(X_8,multiply(identity,double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))) != X_10
    | double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))) = X_10 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_8,multiply(identity,double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))),X_10) ),[0,1],$fot(inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))))]]) ).

cnf(refute_0_58,plain,
    ( double_divide(X_8,multiply(identity,double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))) != X_10
    | double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))) = X_10 ),
    inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))),inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))) )],[refute_0_56,refute_0_57]) ).

cnf(refute_0_59,plain,
    double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))) = X_10,
    inference(resolve,[$cnf( $equal(double_divide(X_8,multiply(identity,double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))),X_10) )],[refute_0_48,refute_0_58]) ).

cnf(refute_0_60,plain,
    inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))) = multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity),
    inference(subst,[],[refute_0_39:[bind(A,$fot(double_divide(inverse(X_8),double_divide(identity,X_10)))),bind(B,$fot(identity))]]) ).

cnf(refute_0_61,plain,
    inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))) = inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))),
    introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))))]]) ).

cnf(refute_0_62,plain,
    ( inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))) != multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity)
    | inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))) != inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))
    | inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))) = inverse(multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))),inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))) ),[1,0],$fot(multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity))]]) ).

cnf(refute_0_63,plain,
    ( inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))) != multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity)
    | inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))) = inverse(multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))),inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))) )],[refute_0_61,refute_0_62]) ).

cnf(refute_0_64,plain,
    inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))) = inverse(multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))),multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity)) )],[refute_0_60,refute_0_63]) ).

cnf(refute_0_65,plain,
    double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))) = double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))),
    introduced(tautology,[refl,[$fot(double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))))]]) ).

cnf(refute_0_66,plain,
    ( double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))) != double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))))
    | inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))) != inverse(multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity))
    | double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))) = double_divide(X_8,inverse(multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))),double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))))) ),[1,1],$fot(inverse(multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity)))]]) ).

cnf(refute_0_67,plain,
    ( inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))) != inverse(multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity))
    | double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))) = double_divide(X_8,inverse(multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity))) ),
    inference(resolve,[$cnf( $equal(double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))),double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))))) )],[refute_0_65,refute_0_66]) ).

cnf(refute_0_68,plain,
    double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))) = double_divide(X_8,inverse(multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity))),
    inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10))))),inverse(multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity))) )],[refute_0_64,refute_0_67]) ).

cnf(refute_0_69,plain,
    ( double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))) != X_10
    | double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))) != double_divide(X_8,inverse(multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity)))
    | double_divide(X_8,inverse(multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity))) = X_10 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))),X_10) ),[0],$fot(double_divide(X_8,inverse(multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity))))]]) ).

cnf(refute_0_70,plain,
    ( double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))) != X_10
    | double_divide(X_8,inverse(multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity))) = X_10 ),
    inference(resolve,[$cnf( $equal(double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))),double_divide(X_8,inverse(multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity)))) )],[refute_0_68,refute_0_69]) ).

cnf(refute_0_71,plain,
    double_divide(X_8,inverse(multiply(double_divide(inverse(X_8),double_divide(identity,X_10)),identity))) = X_10,
    inference(resolve,[$cnf( $equal(double_divide(X_8,inverse(inverse(double_divide(identity,double_divide(inverse(X_8),double_divide(identity,X_10)))))),X_10) )],[refute_0_59,refute_0_70]) ).

cnf(refute_0_72,plain,
    double_divide(X_12,inverse(multiply(double_divide(inverse(X_12),double_divide(identity,inverse(identity))),identity))) = inverse(identity),
    inference(subst,[],[refute_0_71:[bind(X_10,$fot(inverse(identity))),bind(X_8,$fot(X_12))]]) ).

cnf(refute_0_73,plain,
    identity = double_divide(identity,inverse(identity)),
    inference(subst,[],[identity:[bind(A,$fot(identity))]]) ).

cnf(refute_0_74,plain,
    ( identity != double_divide(identity,inverse(identity))
    | double_divide(identity,inverse(identity)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(identity,inverse(identity))))]]) ).

cnf(refute_0_75,plain,
    double_divide(identity,inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(identity,inverse(identity))) )],[refute_0_73,refute_0_74]) ).

cnf(refute_0_76,plain,
    ( double_divide(X_12,inverse(multiply(double_divide(inverse(X_12),double_divide(identity,inverse(identity))),identity))) != inverse(identity)
    | double_divide(identity,inverse(identity)) != identity
    | double_divide(X_12,inverse(multiply(double_divide(inverse(X_12),identity),identity))) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_12,inverse(multiply(double_divide(inverse(X_12),double_divide(identity,inverse(identity))),identity))),inverse(identity)) ),[0,1,0,0,1],$fot(identity)]]) ).

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

cnf(refute_0_78,plain,
    double_divide(X_12,inverse(multiply(double_divide(inverse(X_12),identity),identity))) = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(X_12,inverse(multiply(double_divide(inverse(X_12),double_divide(identity,inverse(identity))),identity))),inverse(identity)) )],[refute_0_72,refute_0_77]) ).

cnf(refute_0_79,plain,
    double_divide(identity,identity) = inverse(identity),
    inference(subst,[],[refute_0_4:[bind(A,$fot(identity))]]) ).

cnf(refute_0_80,plain,
    double_divide(inverse(identity),double_divide(identity,identity)) = double_divide(inverse(identity),double_divide(identity,identity)),
    introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(identity,identity)))]]) ).

cnf(refute_0_81,plain,
    ( double_divide(identity,identity) != inverse(identity)
    | double_divide(inverse(identity),double_divide(identity,identity)) != double_divide(inverse(identity),double_divide(identity,identity))
    | double_divide(inverse(identity),double_divide(identity,identity)) = double_divide(inverse(identity),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,identity)),double_divide(inverse(identity),double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).

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

cnf(refute_0_83,plain,
    double_divide(inverse(identity),double_divide(identity,identity)) = double_divide(inverse(identity),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_79,refute_0_82]) ).

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

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

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

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

cnf(refute_0_88,plain,
    inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)),
    introduced(tautology,[refl,[$fot(inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)))]]) ).

cnf(refute_0_89,plain,
    ( multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity) != multiply(double_divide(inverse(identity),inverse(identity)),identity)
    | inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)) != inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity))
    | inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)) = inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)),inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity))) ),[1,0],$fot(multiply(double_divide(inverse(identity),inverse(identity)),identity))]]) ).

cnf(refute_0_90,plain,
    ( multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity) != multiply(double_divide(inverse(identity),inverse(identity)),identity)
    | inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)) = inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)),inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity))) )],[refute_0_88,refute_0_89]) ).

cnf(refute_0_91,plain,
    inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)) = inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)) )],[refute_0_87,refute_0_90]) ).

cnf(refute_0_92,plain,
    double_divide(X_8,inverse(multiply(double_divide(inverse(X_8),double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_11)),identity)))),identity))) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_11)),identity)),
    inference(subst,[],[refute_0_71:[bind(X_10,$fot(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_11)),identity))))]]) ).

cnf(refute_0_93,plain,
    double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_11)),identity))) = X_11,
    inference(subst,[],[refute_0_71:[bind(X_10,$fot(X_11)),bind(X_8,$fot(identity))]]) ).

cnf(refute_0_94,plain,
    ( double_divide(X_8,inverse(multiply(double_divide(inverse(X_8),double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_11)),identity)))),identity))) != inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_11)),identity))
    | double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_11)),identity))) != X_11
    | double_divide(X_8,inverse(multiply(double_divide(inverse(X_8),X_11),identity))) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_11)),identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_8,inverse(multiply(double_divide(inverse(X_8),double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_11)),identity)))),identity))),inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_11)),identity))) ),[0,1,0,0,1],$fot(X_11)]]) ).

cnf(refute_0_95,plain,
    ( double_divide(X_8,inverse(multiply(double_divide(inverse(X_8),double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_11)),identity)))),identity))) != inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_11)),identity))
    | double_divide(X_8,inverse(multiply(double_divide(inverse(X_8),X_11),identity))) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_11)),identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_11)),identity))),X_11) )],[refute_0_93,refute_0_94]) ).

cnf(refute_0_96,plain,
    double_divide(X_8,inverse(multiply(double_divide(inverse(X_8),X_11),identity))) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_11)),identity)),
    inference(resolve,[$cnf( $equal(double_divide(X_8,inverse(multiply(double_divide(inverse(X_8),double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_11)),identity)))),identity))),inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_11)),identity))) )],[refute_0_92,refute_0_95]) ).

cnf(refute_0_97,plain,
    double_divide(X_12,inverse(multiply(double_divide(inverse(X_12),identity),identity))) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)),
    inference(subst,[],[refute_0_96:[bind(X_11,$fot(identity)),bind(X_8,$fot(X_12))]]) ).

cnf(refute_0_98,plain,
    ( double_divide(X_12,inverse(multiply(double_divide(inverse(X_12),identity),identity))) != inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity))
    | inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)) != inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity))
    | double_divide(X_12,inverse(multiply(double_divide(inverse(X_12),identity),identity))) = inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) ),
    inference(subst,[],[refute_0_23:[bind(X,$fot(double_divide(X_12,inverse(multiply(double_divide(inverse(X_12),identity),identity))))),bind(Y,$fot(inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)))),bind(Z,$fot(inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity))))]]) ).

cnf(refute_0_99,plain,
    ( inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)) != inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity))
    | double_divide(X_12,inverse(multiply(double_divide(inverse(X_12),identity),identity))) = inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(X_12,inverse(multiply(double_divide(inverse(X_12),identity),identity))),inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity))) )],[refute_0_97,refute_0_98]) ).

cnf(refute_0_100,plain,
    double_divide(X_12,inverse(multiply(double_divide(inverse(X_12),identity),identity))) = inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,identity)),identity)),inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity))) )],[refute_0_91,refute_0_99]) ).

cnf(refute_0_101,plain,
    ( double_divide(X_12,inverse(multiply(double_divide(inverse(X_12),identity),identity))) != inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity))
    | double_divide(X_12,inverse(multiply(double_divide(inverse(X_12),identity),identity))) != inverse(identity)
    | inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_12,inverse(multiply(double_divide(inverse(X_12),identity),identity))),inverse(identity)) ),[0],$fot(inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)))]]) ).

cnf(refute_0_102,plain,
    ( double_divide(X_12,inverse(multiply(double_divide(inverse(X_12),identity),identity))) != inverse(identity)
    | inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(X_12,inverse(multiply(double_divide(inverse(X_12),identity),identity))),inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity))) )],[refute_0_100,refute_0_101]) ).

cnf(refute_0_103,plain,
    inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(X_12,inverse(multiply(double_divide(inverse(X_12),identity),identity))),inverse(identity)) )],[refute_0_78,refute_0_102]) ).

cnf(refute_0_104,plain,
    double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),double_divide(X_9,identity))))) = identity,
    inference(subst,[],[refute_0_47:[bind(A,$fot(X_8)),bind(B,$fot(X_9)),bind(C,$fot(identity))]]) ).

cnf(refute_0_105,plain,
    inverse(X_9) = double_divide(X_9,identity),
    inference(subst,[],[inverse:[bind(A,$fot(X_9))]]) ).

cnf(refute_0_106,plain,
    ( inverse(X_9) != double_divide(X_9,identity)
    | double_divide(X_9,identity) = inverse(X_9) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_9))),bind(Y,$fot(double_divide(X_9,identity)))]]) ).

cnf(refute_0_107,plain,
    double_divide(X_9,identity) = inverse(X_9),
    inference(resolve,[$cnf( $equal(inverse(X_9),double_divide(X_9,identity)) )],[refute_0_105,refute_0_106]) ).

cnf(refute_0_108,plain,
    ( double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),double_divide(X_9,identity))))) != identity
    | double_divide(X_9,identity) != inverse(X_9)
    | double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),inverse(X_9))))) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),double_divide(X_9,identity))))),identity) ),[0,1,1,1,1],$fot(inverse(X_9))]]) ).

cnf(refute_0_109,plain,
    ( double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),double_divide(X_9,identity))))) != identity
    | double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),inverse(X_9))))) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(X_9,identity),inverse(X_9)) )],[refute_0_107,refute_0_108]) ).

cnf(refute_0_110,plain,
    double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),inverse(X_9))))) = identity,
    inference(resolve,[$cnf( $equal(double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),double_divide(X_9,identity))))),identity) )],[refute_0_104,refute_0_109]) ).

cnf(refute_0_111,plain,
    double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,inverse(multiply(double_divide(inverse(B),double_divide(identity,X_11)),identity))))))) = inverse(multiply(double_divide(inverse(B),double_divide(identity,X_11)),identity)),
    inference(subst,[],[refute_0_47:[bind(C,$fot(inverse(multiply(double_divide(inverse(B),double_divide(identity,X_11)),identity))))]]) ).

cnf(refute_0_112,plain,
    double_divide(B,inverse(multiply(double_divide(inverse(B),double_divide(identity,X_11)),identity))) = X_11,
    inference(subst,[],[refute_0_71:[bind(X_10,$fot(X_11)),bind(X_8,$fot(B))]]) ).

cnf(refute_0_113,plain,
    ( double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,inverse(multiply(double_divide(inverse(B),double_divide(identity,X_11)),identity))))))) != inverse(multiply(double_divide(inverse(B),double_divide(identity,X_11)),identity))
    | double_divide(B,inverse(multiply(double_divide(inverse(B),double_divide(identity,X_11)),identity))) != X_11
    | double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),X_11)))) = inverse(multiply(double_divide(inverse(B),double_divide(identity,X_11)),identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(A,multiply(B,double_divide(identity,double_divide(inverse(A),double_divide(B,inverse(multiply(double_divide(inverse(B),double_divide(identity,X_11)),identity))))))),inverse(multiply(double_divide(inverse(B),double_divide(identity,X_11)),identity))) ),[0,1,1,1,1],$fot(X_11)]]) ).

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

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

cnf(refute_0_116,plain,
    double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),inverse(X_9))))) = inverse(multiply(double_divide(inverse(X_9),double_divide(identity,inverse(X_9))),identity)),
    inference(subst,[],[refute_0_115:[bind(A,$fot(X_8)),bind(B,$fot(X_9)),bind(X_11,$fot(inverse(X_9)))]]) ).

cnf(refute_0_117,plain,
    ( double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),inverse(X_9))))) != identity
    | double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),inverse(X_9))))) != inverse(multiply(double_divide(inverse(X_9),double_divide(identity,inverse(X_9))),identity))
    | inverse(multiply(double_divide(inverse(X_9),double_divide(identity,inverse(X_9))),identity)) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),inverse(X_9))))),identity) ),[0],$fot(inverse(multiply(double_divide(inverse(X_9),double_divide(identity,inverse(X_9))),identity)))]]) ).

cnf(refute_0_118,plain,
    ( double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),inverse(X_9))))) != identity
    | inverse(multiply(double_divide(inverse(X_9),double_divide(identity,inverse(X_9))),identity)) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),inverse(X_9))))),inverse(multiply(double_divide(inverse(X_9),double_divide(identity,inverse(X_9))),identity))) )],[refute_0_116,refute_0_117]) ).

cnf(refute_0_119,plain,
    inverse(multiply(double_divide(inverse(X_9),double_divide(identity,inverse(X_9))),identity)) = identity,
    inference(resolve,[$cnf( $equal(double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),inverse(X_9))))),identity) )],[refute_0_110,refute_0_118]) ).

cnf(refute_0_120,plain,
    inverse(multiply(double_divide(inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)),double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)) = identity,
    inference(subst,[],[refute_0_119:[bind(X_9,$fot(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))]]) ).

cnf(refute_0_121,plain,
    inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)) = identity,
    inference(subst,[],[refute_0_119:[bind(X_9,$fot(X_22))]]) ).

cnf(refute_0_122,plain,
    ( inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)) != identity
    | inverse(multiply(double_divide(inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)),double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)) != identity
    | inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)),double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)),identity) ),[0,0,0,0],$fot(identity)]]) ).

cnf(refute_0_123,plain,
    ( inverse(multiply(double_divide(inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)),double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)) != identity
    | inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)) = identity ),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)),identity) )],[refute_0_121,refute_0_122]) ).

cnf(refute_0_124,plain,
    inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)) = identity,
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)),double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)),identity) )],[refute_0_120,refute_0_123]) ).

cnf(refute_0_125,plain,
    multiply(identity,identity) = inverse(inverse(identity)),
    inference(subst,[],[refute_0_55:[bind(X_3,$fot(identity))]]) ).

cnf(refute_0_126,plain,
    double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))) = double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))),
    introduced(tautology,[refl,[$fot(double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))))]]) ).

cnf(refute_0_127,plain,
    ( double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))) != double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))
    | inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)) != identity
    | double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))) = double_divide(identity,identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))),double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_128,plain,
    ( inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)) != identity
    | double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))) = double_divide(identity,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))),double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))) )],[refute_0_126,refute_0_127]) ).

cnf(refute_0_129,plain,
    double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))) = double_divide(identity,identity),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)),identity) )],[refute_0_121,refute_0_128]) ).

cnf(refute_0_130,plain,
    ( double_divide(identity,identity) != inverse(identity)
    | double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))) != double_divide(identity,identity)
    | double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))) = inverse(identity) ),
    inference(subst,[],[refute_0_23:[bind(X,$fot(double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))))),bind(Y,$fot(double_divide(identity,identity))),bind(Z,$fot(inverse(identity)))]]) ).

cnf(refute_0_131,plain,
    ( double_divide(identity,identity) != inverse(identity)
    | double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))),double_divide(identity,identity)) )],[refute_0_129,refute_0_130]) ).

cnf(refute_0_132,plain,
    double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))) = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_79,refute_0_131]) ).

cnf(refute_0_133,plain,
    double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))) = double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))))]]) ).

cnf(refute_0_134,plain,
    ( double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))) != double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))))
    | double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))) != inverse(identity)
    | double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))) = double_divide(identity,inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))))) ),[1,1],$fot(inverse(identity))]]) ).

cnf(refute_0_135,plain,
    ( double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))) != inverse(identity)
    | double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))) = double_divide(identity,inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))))) )],[refute_0_133,refute_0_134]) ).

cnf(refute_0_136,plain,
    double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))) = double_divide(identity,inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity))),inverse(identity)) )],[refute_0_132,refute_0_135]) ).

cnf(refute_0_137,plain,
    ( double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))) != double_divide(identity,inverse(identity))
    | double_divide(identity,inverse(identity)) != identity
    | double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))) = identity ),
    inference(subst,[],[refute_0_23:[bind(X,$fot(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))))),bind(Y,$fot(double_divide(identity,inverse(identity)))),bind(Z,$fot(identity))]]) ).

cnf(refute_0_138,plain,
    ( double_divide(identity,inverse(identity)) != identity
    | double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),double_divide(identity,inverse(identity))) )],[refute_0_136,refute_0_137]) ).

cnf(refute_0_139,plain,
    double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))) = identity,
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_75,refute_0_138]) ).

cnf(refute_0_140,plain,
    multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity) = multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity),
    introduced(tautology,[refl,[$fot(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity))]]) ).

cnf(refute_0_141,plain,
    ( multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity) != multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)
    | double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))) != identity
    | multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity) = multiply(identity,identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity),multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_142,plain,
    ( double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))) != identity
    | multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity) = multiply(identity,identity) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity),multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)) )],[refute_0_140,refute_0_141]) ).

cnf(refute_0_143,plain,
    multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity) = multiply(identity,identity),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity) )],[refute_0_139,refute_0_142]) ).

cnf(refute_0_144,plain,
    ( multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity) != multiply(identity,identity)
    | multiply(identity,identity) != inverse(inverse(identity))
    | multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity) = inverse(inverse(identity)) ),
    inference(subst,[],[refute_0_23:[bind(X,$fot(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity))),bind(Y,$fot(multiply(identity,identity))),bind(Z,$fot(inverse(inverse(identity))))]]) ).

cnf(refute_0_145,plain,
    ( multiply(identity,identity) != inverse(inverse(identity))
    | multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity) = inverse(inverse(identity)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity),multiply(identity,identity)) )],[refute_0_143,refute_0_144]) ).

cnf(refute_0_146,plain,
    multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity) = inverse(inverse(identity)),
    inference(resolve,[$cnf( $equal(multiply(identity,identity),inverse(inverse(identity))) )],[refute_0_125,refute_0_145]) ).

cnf(refute_0_147,plain,
    inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)) = inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)),
    introduced(tautology,[refl,[$fot(inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)))]]) ).

cnf(refute_0_148,plain,
    ( multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity) != inverse(inverse(identity))
    | inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)) != inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity))
    | inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)) = inverse(inverse(inverse(identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)),inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity))) ),[1,0],$fot(inverse(inverse(identity)))]]) ).

cnf(refute_0_149,plain,
    ( multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity) != inverse(inverse(identity))
    | inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)) = inverse(inverse(inverse(identity))) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)),inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity))) )],[refute_0_147,refute_0_148]) ).

cnf(refute_0_150,plain,
    inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)) = inverse(inverse(inverse(identity))),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity),inverse(inverse(identity))) )],[refute_0_146,refute_0_149]) ).

cnf(refute_0_151,plain,
    ( inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)) != identity
    | inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)) != inverse(inverse(inverse(identity)))
    | inverse(inverse(inverse(identity))) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)),identity) ),[0],$fot(inverse(inverse(inverse(identity))))]]) ).

cnf(refute_0_152,plain,
    ( inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)) != identity
    | inverse(inverse(inverse(identity))) = identity ),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)),inverse(inverse(inverse(identity)))) )],[refute_0_150,refute_0_151]) ).

cnf(refute_0_153,plain,
    inverse(inverse(inverse(identity))) = identity,
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,double_divide(identity,inverse(multiply(double_divide(inverse(X_22),double_divide(identity,inverse(X_22))),identity)))),identity)),identity) )],[refute_0_124,refute_0_152]) ).

cnf(refute_0_154,plain,
    double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),double_divide(X_9,inverse(X_9)))))) = inverse(X_9),
    inference(subst,[],[refute_0_47:[bind(A,$fot(X_8)),bind(B,$fot(X_9)),bind(C,$fot(inverse(X_9)))]]) ).

cnf(refute_0_155,plain,
    identity = double_divide(X_9,inverse(X_9)),
    inference(subst,[],[identity:[bind(A,$fot(X_9))]]) ).

cnf(refute_0_156,plain,
    ( identity != double_divide(X_9,inverse(X_9))
    | double_divide(X_9,inverse(X_9)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_9,inverse(X_9))))]]) ).

cnf(refute_0_157,plain,
    double_divide(X_9,inverse(X_9)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_9,inverse(X_9))) )],[refute_0_155,refute_0_156]) ).

cnf(refute_0_158,plain,
    ( double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),double_divide(X_9,inverse(X_9)))))) != inverse(X_9)
    | double_divide(X_9,inverse(X_9)) != identity
    | double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))) = inverse(X_9) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),double_divide(X_9,inverse(X_9)))))),inverse(X_9)) ),[0,1,1,1,1],$fot(identity)]]) ).

cnf(refute_0_159,plain,
    ( double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),double_divide(X_9,inverse(X_9)))))) != inverse(X_9)
    | double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))) = inverse(X_9) ),
    inference(resolve,[$cnf( $equal(double_divide(X_9,inverse(X_9)),identity) )],[refute_0_157,refute_0_158]) ).

cnf(refute_0_160,plain,
    double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))) = inverse(X_9),
    inference(resolve,[$cnf( $equal(double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),double_divide(X_9,inverse(X_9)))))),inverse(X_9)) )],[refute_0_154,refute_0_159]) ).

cnf(refute_0_161,plain,
    double_divide(inverse(X_8),identity) = inverse(inverse(X_8)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(X_8)))]]) ).

cnf(refute_0_162,plain,
    double_divide(identity,double_divide(inverse(X_8),identity)) = double_divide(identity,double_divide(inverse(X_8),identity)),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(inverse(X_8),identity)))]]) ).

cnf(refute_0_163,plain,
    ( double_divide(identity,double_divide(inverse(X_8),identity)) != double_divide(identity,double_divide(inverse(X_8),identity))
    | double_divide(inverse(X_8),identity) != inverse(inverse(X_8))
    | double_divide(identity,double_divide(inverse(X_8),identity)) = double_divide(identity,inverse(inverse(X_8))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(inverse(X_8),identity)),double_divide(identity,double_divide(inverse(X_8),identity))) ),[1,1],$fot(inverse(inverse(X_8)))]]) ).

cnf(refute_0_164,plain,
    ( double_divide(inverse(X_8),identity) != inverse(inverse(X_8))
    | double_divide(identity,double_divide(inverse(X_8),identity)) = double_divide(identity,inverse(inverse(X_8))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(X_8),identity)),double_divide(identity,double_divide(inverse(X_8),identity))) )],[refute_0_162,refute_0_163]) ).

cnf(refute_0_165,plain,
    double_divide(identity,double_divide(inverse(X_8),identity)) = double_divide(identity,inverse(inverse(X_8))),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_8),identity),inverse(inverse(X_8))) )],[refute_0_161,refute_0_164]) ).

cnf(refute_0_166,plain,
    multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity))) = multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity))),
    introduced(tautology,[refl,[$fot(multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity))))]]) ).

cnf(refute_0_167,plain,
    ( multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity))) != multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))
    | double_divide(identity,double_divide(inverse(X_8),identity)) != double_divide(identity,inverse(inverse(X_8)))
    | multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity))) = multiply(X_9,double_divide(identity,inverse(inverse(X_8)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity))),multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))) ),[1,1],$fot(double_divide(identity,inverse(inverse(X_8))))]]) ).

cnf(refute_0_168,plain,
    ( double_divide(identity,double_divide(inverse(X_8),identity)) != double_divide(identity,inverse(inverse(X_8)))
    | multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity))) = multiply(X_9,double_divide(identity,inverse(inverse(X_8)))) ),
    inference(resolve,[$cnf( $equal(multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity))),multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))) )],[refute_0_166,refute_0_167]) ).

cnf(refute_0_169,plain,
    multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity))) = multiply(X_9,double_divide(identity,inverse(inverse(X_8)))),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(X_8),identity)),double_divide(identity,inverse(inverse(X_8)))) )],[refute_0_165,refute_0_168]) ).

cnf(refute_0_170,plain,
    double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))) = double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))),
    introduced(tautology,[refl,[$fot(double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))))]]) ).

cnf(refute_0_171,plain,
    ( multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity))) != multiply(X_9,double_divide(identity,inverse(inverse(X_8))))
    | double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))) != double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity))))
    | double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))) = double_divide(X_8,multiply(X_9,double_divide(identity,inverse(inverse(X_8))))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))),double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity))))) ),[1,1],$fot(multiply(X_9,double_divide(identity,inverse(inverse(X_8)))))]]) ).

cnf(refute_0_172,plain,
    ( multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity))) != multiply(X_9,double_divide(identity,inverse(inverse(X_8))))
    | double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))) = double_divide(X_8,multiply(X_9,double_divide(identity,inverse(inverse(X_8))))) ),
    inference(resolve,[$cnf( $equal(double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))),double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity))))) )],[refute_0_170,refute_0_171]) ).

cnf(refute_0_173,plain,
    double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))) = double_divide(X_8,multiply(X_9,double_divide(identity,inverse(inverse(X_8))))),
    inference(resolve,[$cnf( $equal(multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity))),multiply(X_9,double_divide(identity,inverse(inverse(X_8))))) )],[refute_0_169,refute_0_172]) ).

cnf(refute_0_174,plain,
    ( double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))) != double_divide(X_8,multiply(X_9,double_divide(identity,inverse(inverse(X_8)))))
    | double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))) != inverse(X_9)
    | double_divide(X_8,multiply(X_9,double_divide(identity,inverse(inverse(X_8))))) = inverse(X_9) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))),inverse(X_9)) ),[0],$fot(double_divide(X_8,multiply(X_9,double_divide(identity,inverse(inverse(X_8))))))]]) ).

cnf(refute_0_175,plain,
    ( double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))) != inverse(X_9)
    | double_divide(X_8,multiply(X_9,double_divide(identity,inverse(inverse(X_8))))) = inverse(X_9) ),
    inference(resolve,[$cnf( $equal(double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))),double_divide(X_8,multiply(X_9,double_divide(identity,inverse(inverse(X_8)))))) )],[refute_0_173,refute_0_174]) ).

cnf(refute_0_176,plain,
    double_divide(X_8,multiply(X_9,double_divide(identity,inverse(inverse(X_8))))) = inverse(X_9),
    inference(resolve,[$cnf( $equal(double_divide(X_8,multiply(X_9,double_divide(identity,double_divide(inverse(X_8),identity)))),inverse(X_9)) )],[refute_0_160,refute_0_175]) ).

cnf(refute_0_177,plain,
    double_divide(X_15,multiply(multiply(inverse(inverse(X_15)),identity),double_divide(identity,inverse(inverse(X_15))))) = inverse(multiply(inverse(inverse(X_15)),identity)),
    inference(subst,[],[refute_0_176:[bind(X_8,$fot(X_15)),bind(X_9,$fot(multiply(inverse(inverse(X_15)),identity)))]]) ).

cnf(refute_0_178,plain,
    multiply(inverse(X_3),X_3) = inverse(double_divide(X_3,inverse(X_3))),
    inference(subst,[],[refute_0_37:[bind(A,$fot(inverse(X_3))),bind(B,$fot(X_3))]]) ).

cnf(refute_0_179,plain,
    identity = double_divide(X_3,inverse(X_3)),
    inference(subst,[],[identity:[bind(A,$fot(X_3))]]) ).

cnf(refute_0_180,plain,
    ( identity != double_divide(X_3,inverse(X_3))
    | double_divide(X_3,inverse(X_3)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_3,inverse(X_3))))]]) ).

cnf(refute_0_181,plain,
    double_divide(X_3,inverse(X_3)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_3,inverse(X_3))) )],[refute_0_179,refute_0_180]) ).

cnf(refute_0_182,plain,
    ( multiply(inverse(X_3),X_3) != inverse(double_divide(X_3,inverse(X_3)))
    | double_divide(X_3,inverse(X_3)) != identity
    | multiply(inverse(X_3),X_3) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_183,plain,
    ( multiply(inverse(X_3),X_3) != inverse(double_divide(X_3,inverse(X_3)))
    | multiply(inverse(X_3),X_3) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(X_3,inverse(X_3)),identity) )],[refute_0_181,refute_0_182]) ).

cnf(refute_0_184,plain,
    multiply(inverse(X_3),X_3) = inverse(identity),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) )],[refute_0_178,refute_0_183]) ).

cnf(refute_0_185,plain,
    multiply(inverse(double_divide(B,A)),double_divide(B,A)) = inverse(identity),
    inference(subst,[],[refute_0_184:[bind(X_3,$fot(double_divide(B,A)))]]) ).

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

cnf(refute_0_187,plain,
    ( multiply(inverse(double_divide(B,A)),double_divide(B,A)) != inverse(identity)
    | multiply(multiply(A,B),double_divide(B,A)) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_39,refute_0_186]) ).

cnf(refute_0_188,plain,
    multiply(multiply(A,B),double_divide(B,A)) = inverse(identity),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),double_divide(B,A)),inverse(identity)) )],[refute_0_185,refute_0_187]) ).

cnf(refute_0_189,plain,
    multiply(multiply(inverse(inverse(X_15)),identity),double_divide(identity,inverse(inverse(X_15)))) = inverse(identity),
    inference(subst,[],[refute_0_188:[bind(A,$fot(inverse(inverse(X_15)))),bind(B,$fot(identity))]]) ).

cnf(refute_0_190,plain,
    ( multiply(multiply(inverse(inverse(X_15)),identity),double_divide(identity,inverse(inverse(X_15)))) != inverse(identity)
    | double_divide(X_15,multiply(multiply(inverse(inverse(X_15)),identity),double_divide(identity,inverse(inverse(X_15))))) != inverse(multiply(inverse(inverse(X_15)),identity))
    | double_divide(X_15,inverse(identity)) = inverse(multiply(inverse(inverse(X_15)),identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_15,multiply(multiply(inverse(inverse(X_15)),identity),double_divide(identity,inverse(inverse(X_15))))),inverse(multiply(inverse(inverse(X_15)),identity))) ),[0,1],$fot(inverse(identity))]]) ).

cnf(refute_0_191,plain,
    ( double_divide(X_15,multiply(multiply(inverse(inverse(X_15)),identity),double_divide(identity,inverse(inverse(X_15))))) != inverse(multiply(inverse(inverse(X_15)),identity))
    | double_divide(X_15,inverse(identity)) = inverse(multiply(inverse(inverse(X_15)),identity)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_15)),identity),double_divide(identity,inverse(inverse(X_15)))),inverse(identity)) )],[refute_0_189,refute_0_190]) ).

cnf(refute_0_192,plain,
    double_divide(X_15,inverse(identity)) = inverse(multiply(inverse(inverse(X_15)),identity)),
    inference(resolve,[$cnf( $equal(double_divide(X_15,multiply(multiply(inverse(inverse(X_15)),identity),double_divide(identity,inverse(inverse(X_15))))),inverse(multiply(inverse(inverse(X_15)),identity))) )],[refute_0_177,refute_0_191]) ).

cnf(refute_0_193,plain,
    double_divide(inverse(identity),inverse(identity)) = inverse(multiply(inverse(inverse(inverse(identity))),identity)),
    inference(subst,[],[refute_0_192:[bind(X_15,$fot(inverse(identity)))]]) ).

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

cnf(refute_0_195,plain,
    ( double_divide(inverse(identity),inverse(identity)) != inverse(multiply(inverse(inverse(inverse(identity))),identity))
    | double_divide(inverse(identity),inverse(identity)) = inverse(multiply(identity,identity)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(identity))),identity) )],[refute_0_153,refute_0_194]) ).

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

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

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

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

cnf(refute_0_200,plain,
    inverse(multiply(identity,identity)) = inverse(inverse(inverse(identity))),
    inference(resolve,[$cnf( $equal(multiply(identity,identity),inverse(inverse(identity))) )],[refute_0_125,refute_0_199]) ).

cnf(refute_0_201,plain,
    ( inverse(multiply(identity,identity)) != inverse(inverse(inverse(identity)))
    | inverse(inverse(inverse(identity))) != identity
    | inverse(multiply(identity,identity)) = identity ),
    inference(subst,[],[refute_0_23:[bind(X,$fot(inverse(multiply(identity,identity)))),bind(Y,$fot(inverse(inverse(inverse(identity))))),bind(Z,$fot(identity))]]) ).

cnf(refute_0_202,plain,
    ( inverse(inverse(inverse(identity))) != identity
    | inverse(multiply(identity,identity)) = identity ),
    inference(resolve,[$cnf( $equal(inverse(multiply(identity,identity)),inverse(inverse(inverse(identity)))) )],[refute_0_200,refute_0_201]) ).

cnf(refute_0_203,plain,
    inverse(multiply(identity,identity)) = identity,
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(identity))),identity) )],[refute_0_153,refute_0_202]) ).

cnf(refute_0_204,plain,
    ( double_divide(inverse(identity),inverse(identity)) != inverse(multiply(identity,identity))
    | inverse(multiply(identity,identity)) != identity
    | double_divide(inverse(identity),inverse(identity)) = identity ),
    introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(inverse(identity),inverse(identity)),identity) ),[0],$fot(inverse(multiply(identity,identity)))]]) ).

cnf(refute_0_205,plain,
    ( double_divide(inverse(identity),inverse(identity)) != inverse(multiply(identity,identity))
    | double_divide(inverse(identity),inverse(identity)) = identity ),
    inference(resolve,[$cnf( $equal(inverse(multiply(identity,identity)),identity) )],[refute_0_203,refute_0_204]) ).

cnf(refute_0_206,plain,
    double_divide(inverse(identity),inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),inverse(multiply(identity,identity))) )],[refute_0_196,refute_0_205]) ).

cnf(refute_0_207,plain,
    multiply(double_divide(inverse(identity),inverse(identity)),identity) = multiply(double_divide(inverse(identity),inverse(identity)),identity),
    introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(identity),inverse(identity)),identity))]]) ).

cnf(refute_0_208,plain,
    ( multiply(double_divide(inverse(identity),inverse(identity)),identity) != multiply(double_divide(inverse(identity),inverse(identity)),identity)
    | double_divide(inverse(identity),inverse(identity)) != identity
    | multiply(double_divide(inverse(identity),inverse(identity)),identity) = multiply(identity,identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(identity),inverse(identity)),identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_209,plain,
    ( double_divide(inverse(identity),inverse(identity)) != identity
    | multiply(double_divide(inverse(identity),inverse(identity)),identity) = multiply(identity,identity) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),inverse(identity)),identity),multiply(double_divide(inverse(identity),inverse(identity)),identity)) )],[refute_0_207,refute_0_208]) ).

cnf(refute_0_210,plain,
    multiply(double_divide(inverse(identity),inverse(identity)),identity) = multiply(identity,identity),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),identity) )],[refute_0_206,refute_0_209]) ).

cnf(refute_0_211,plain,
    ( multiply(double_divide(inverse(identity),inverse(identity)),identity) != multiply(identity,identity)
    | multiply(identity,identity) != inverse(inverse(identity))
    | multiply(double_divide(inverse(identity),inverse(identity)),identity) = inverse(inverse(identity)) ),
    inference(subst,[],[refute_0_23:[bind(X,$fot(multiply(double_divide(inverse(identity),inverse(identity)),identity))),bind(Y,$fot(multiply(identity,identity))),bind(Z,$fot(inverse(inverse(identity))))]]) ).

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

cnf(refute_0_213,plain,
    multiply(double_divide(inverse(identity),inverse(identity)),identity) = inverse(inverse(identity)),
    inference(resolve,[$cnf( $equal(multiply(identity,identity),inverse(inverse(identity))) )],[refute_0_125,refute_0_212]) ).

cnf(refute_0_214,plain,
    inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) = inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)),
    introduced(tautology,[refl,[$fot(inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)))]]) ).

cnf(refute_0_215,plain,
    ( multiply(double_divide(inverse(identity),inverse(identity)),identity) != inverse(inverse(identity))
    | inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) != inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity))
    | inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) = inverse(inverse(inverse(identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)),inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity))) ),[1,0],$fot(inverse(inverse(identity)))]]) ).

cnf(refute_0_216,plain,
    ( multiply(double_divide(inverse(identity),inverse(identity)),identity) != inverse(inverse(identity))
    | inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) = inverse(inverse(inverse(identity))) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)),inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity))) )],[refute_0_214,refute_0_215]) ).

cnf(refute_0_217,plain,
    inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) = inverse(inverse(inverse(identity))),
    inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),inverse(identity)),identity),inverse(inverse(identity))) )],[refute_0_213,refute_0_216]) ).

cnf(refute_0_218,plain,
    ( inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) != inverse(inverse(inverse(identity)))
    | inverse(inverse(inverse(identity))) != identity
    | inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) = identity ),
    inference(subst,[],[refute_0_23:[bind(X,$fot(inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)))),bind(Y,$fot(inverse(inverse(inverse(identity))))),bind(Z,$fot(identity))]]) ).

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

cnf(refute_0_220,plain,
    inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)) = identity,
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(identity))),identity) )],[refute_0_153,refute_0_219]) ).

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

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

cnf(refute_0_223,plain,
    identity = inverse(identity),
    inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),inverse(identity)),identity)),inverse(identity)) )],[refute_0_103,refute_0_222]) ).

cnf(refute_0_224,plain,
    multiply(inverse(a1),a1) = inverse(identity),
    inference(subst,[],[refute_0_184:[bind(X_3,$fot(a1))]]) ).

cnf(refute_0_225,plain,
    ( multiply(inverse(a1),a1) != inverse(identity)
    | inverse(identity) != identity
    | multiply(inverse(a1),a1) = identity ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),identity) ),[0],$fot(inverse(identity))]]) ).

cnf(refute_0_226,plain,
    ( inverse(identity) != identity
    | multiply(inverse(a1),a1) = identity ),
    inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),inverse(identity)) )],[refute_0_224,refute_0_225]) ).

cnf(refute_0_227,plain,
    inverse(identity) != identity,
    inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_226,prove_these_axioms_1]) ).

cnf(refute_0_228,plain,
    ( identity != inverse(identity)
    | inverse(identity) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(identity)))]]) ).

cnf(refute_0_229,plain,
    identity != inverse(identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_228,refute_0_227]) ).

cnf(refute_0_230,plain,
    $false,
    inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_223,refute_0_229]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GRP487-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun 14 02:16:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.39  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39  
% 0.13/0.39  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.45  
%------------------------------------------------------------------------------