TSTP Solution File: GRP491-1 by Metis---2.4

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP491-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n016.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 10:41:42 EDT 2022

% Result   : Unsatisfiable 0.12s 0.36s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   51
%            Number of leaves      :   91
% Syntax   : Number of clauses     :  293 ( 149 unt;   0 nHn; 164 RR)
%            Number of literals    :  505 ( 504 equ; 215 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    8 (   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   :  370 (   0 sgn)

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

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

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

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

cnf(prove_these_axioms_2,negated_conjecture,
    multiply(identity,a2) != a2 ).

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

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

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

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

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

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

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

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

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

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

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

cnf(refute_0_11,plain,
    ( inverse(X_3) != double_divide(X_3,identity)
    | double_divide(X_3,identity) = inverse(X_3) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_3))),bind(Y,$fot(double_divide(X_3,identity)))]]) ).

cnf(refute_0_12,plain,
    double_divide(X_3,identity) = inverse(X_3),
    inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_10,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
    | double_divide(X_3,identity) != inverse(X_3)
    | multiply(identity,X_3) = inverse(inverse(X_3)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) ),[1,0],$fot(inverse(X_3))]]) ).

cnf(refute_0_14,plain,
    ( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
    | multiply(identity,X_3) = inverse(inverse(X_3)) ),
    inference(resolve,[$cnf( $equal(double_divide(X_3,identity),inverse(X_3)) )],[refute_0_12,refute_0_13]) ).

cnf(refute_0_15,plain,
    multiply(identity,X_3) = inverse(inverse(X_3)),
    inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) )],[refute_0_9,refute_0_14]) ).

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

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

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

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

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

cnf(refute_0_21,plain,
    double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)) = double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)))]]) ).

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

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

cnf(refute_0_24,plain,
    double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)) = double_divide(inverse(double_divide(A,B)),double_divide(C,B)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,B),identity),inverse(double_divide(A,B))) )],[refute_0_20,refute_0_23]) ).

cnf(refute_0_25,plain,
    double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B))) = double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B))))]]) ).

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

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

cnf(refute_0_28,plain,
    double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B))) = double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)),double_divide(inverse(double_divide(A,B)),double_divide(C,B))) )],[refute_0_24,refute_0_27]) ).

cnf(refute_0_29,plain,
    double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)))) = double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)))))]]) ).

cnf(refute_0_30,plain,
    ( double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)))) != double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B))))
    | double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B))) != double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B)))
    | double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)))) = double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)))),double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B))))) ),[1,1],$fot(double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B))))]]) ).

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

cnf(refute_0_32,plain,
    double_divide(double_divide(identity,A),double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B)))) = double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B)))),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(C,B))),double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B)))) )],[refute_0_28,refute_0_31]) ).

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

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

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

cnf(refute_0_36,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_37,plain,
    inverse(double_divide(B,A)) = multiply(A,B),
    inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[refute_0_8,refute_0_36]) ).

cnf(refute_0_38,plain,
    inverse(double_divide(A,B)) = multiply(B,A),
    inference(subst,[],[refute_0_37:[bind(A,$fot(B)),bind(B,$fot(A))]]) ).

cnf(refute_0_39,plain,
    double_divide(inverse(double_divide(A,B)),double_divide(C,B)) = double_divide(inverse(double_divide(A,B)),double_divide(C,B)),
    introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(A,B)),double_divide(C,B)))]]) ).

cnf(refute_0_40,plain,
    ( double_divide(inverse(double_divide(A,B)),double_divide(C,B)) != double_divide(inverse(double_divide(A,B)),double_divide(C,B))
    | inverse(double_divide(A,B)) != multiply(B,A)
    | double_divide(inverse(double_divide(A,B)),double_divide(C,B)) = double_divide(multiply(B,A),double_divide(C,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(A,B)),double_divide(C,B)),double_divide(inverse(double_divide(A,B)),double_divide(C,B))) ),[1,0],$fot(multiply(B,A))]]) ).

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

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

cnf(refute_0_43,plain,
    double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B))) = double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B))))]]) ).

cnf(refute_0_44,plain,
    ( double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B))) != double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B)))
    | double_divide(inverse(double_divide(A,B)),double_divide(C,B)) != double_divide(multiply(B,A),double_divide(C,B))
    | double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B))) = double_divide(identity,double_divide(multiply(B,A),double_divide(C,B))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B))),double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B)))) ),[1,1],$fot(double_divide(multiply(B,A),double_divide(C,B)))]]) ).

cnf(refute_0_45,plain,
    ( double_divide(inverse(double_divide(A,B)),double_divide(C,B)) != double_divide(multiply(B,A),double_divide(C,B))
    | double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B))) = double_divide(identity,double_divide(multiply(B,A),double_divide(C,B))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B))),double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B)))) )],[refute_0_43,refute_0_44]) ).

cnf(refute_0_46,plain,
    double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B))) = double_divide(identity,double_divide(multiply(B,A),double_divide(C,B))),
    inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(A,B)),double_divide(C,B)),double_divide(multiply(B,A),double_divide(C,B))) )],[refute_0_42,refute_0_45]) ).

cnf(refute_0_47,plain,
    double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B)))) = double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B)))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B)))))]]) ).

cnf(refute_0_48,plain,
    ( double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B)))) != double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B))))
    | double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B))) != double_divide(identity,double_divide(multiply(B,A),double_divide(C,B)))
    | double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B)))) = double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(B,A),double_divide(C,B)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B)))),double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B))))) ),[1,1],$fot(double_divide(identity,double_divide(multiply(B,A),double_divide(C,B))))]]) ).

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

cnf(refute_0_50,plain,
    double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B)))) = double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(B,A),double_divide(C,B)))),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B))),double_divide(identity,double_divide(multiply(B,A),double_divide(C,B)))) )],[refute_0_46,refute_0_49]) ).

cnf(refute_0_51,plain,
    ( double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B)))) != C
    | double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B)))) != double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(B,A),double_divide(C,B))))
    | double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(B,A),double_divide(C,B)))) = C ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B)))),C) ),[0],$fot(double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(B,A),double_divide(C,B)))))]]) ).

cnf(refute_0_52,plain,
    ( double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B)))) != C
    | double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(B,A),double_divide(C,B)))) = C ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B)))),double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(B,A),double_divide(C,B))))) )],[refute_0_50,refute_0_51]) ).

cnf(refute_0_53,plain,
    double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(B,A),double_divide(C,B)))) = C,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(double_divide(A,B)),double_divide(C,B)))),C) )],[refute_0_35,refute_0_52]) ).

cnf(refute_0_54,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),double_divide(X_12,inverse(X_12))))) = X_12,
    inference(subst,[],[refute_0_53:[bind(A,$fot(X_10)),bind(B,$fot(inverse(X_12))),bind(C,$fot(X_12))]]) ).

cnf(refute_0_55,plain,
    identity = double_divide(X_12,inverse(X_12)),
    inference(subst,[],[identity:[bind(A,$fot(X_12))]]) ).

cnf(refute_0_56,plain,
    ( identity != double_divide(X_12,inverse(X_12))
    | double_divide(X_12,inverse(X_12)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_12,inverse(X_12))))]]) ).

cnf(refute_0_57,plain,
    double_divide(X_12,inverse(X_12)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_12,inverse(X_12))) )],[refute_0_55,refute_0_56]) ).

cnf(refute_0_58,plain,
    ( double_divide(X_12,inverse(X_12)) != identity
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),double_divide(X_12,inverse(X_12))))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),double_divide(X_12,inverse(X_12))))),X_12) ),[0,1,1,1],$fot(identity)]]) ).

cnf(refute_0_59,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),double_divide(X_12,inverse(X_12))))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(X_12,inverse(X_12)),identity) )],[refute_0_57,refute_0_58]) ).

cnf(refute_0_60,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),double_divide(X_12,inverse(X_12))))),X_12) )],[refute_0_54,refute_0_59]) ).

cnf(refute_0_61,plain,
    double_divide(multiply(inverse(X_12),X_10),identity) = inverse(multiply(inverse(X_12),X_10)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(multiply(inverse(X_12),X_10)))]]) ).

cnf(refute_0_62,plain,
    double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)) = double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)))]]) ).

cnf(refute_0_63,plain,
    ( double_divide(multiply(inverse(X_12),X_10),identity) != inverse(multiply(inverse(X_12),X_10))
    | double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)) != double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))
    | double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)) = double_divide(identity,inverse(multiply(inverse(X_12),X_10))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) ),[1,1],$fot(inverse(multiply(inverse(X_12),X_10)))]]) ).

cnf(refute_0_64,plain,
    ( double_divide(multiply(inverse(X_12),X_10),identity) != inverse(multiply(inverse(X_12),X_10))
    | double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)) = double_divide(identity,inverse(multiply(inverse(X_12),X_10))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) )],[refute_0_62,refute_0_63]) ).

cnf(refute_0_65,plain,
    double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)) = double_divide(identity,inverse(multiply(inverse(X_12),X_10))),
    inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_12),X_10),identity),inverse(multiply(inverse(X_12),X_10))) )],[refute_0_61,refute_0_64]) ).

cnf(refute_0_66,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))))]]) ).

cnf(refute_0_67,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) != double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)))
    | double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)) != double_divide(identity,inverse(multiply(inverse(X_12),X_10)))
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) = double_divide(double_divide(identity,X_10),double_divide(identity,inverse(multiply(inverse(X_12),X_10)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))),double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)))) ),[1,1],$fot(double_divide(identity,inverse(multiply(inverse(X_12),X_10))))]]) ).

cnf(refute_0_68,plain,
    ( double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)) != double_divide(identity,inverse(multiply(inverse(X_12),X_10)))
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) = double_divide(double_divide(identity,X_10),double_divide(identity,inverse(multiply(inverse(X_12),X_10)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))),double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)))) )],[refute_0_66,refute_0_67]) ).

cnf(refute_0_69,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) = double_divide(double_divide(identity,X_10),double_divide(identity,inverse(multiply(inverse(X_12),X_10)))),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity)),double_divide(identity,inverse(multiply(inverse(X_12),X_10)))) )],[refute_0_65,refute_0_68]) ).

cnf(refute_0_70,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) != double_divide(double_divide(identity,X_10),double_divide(identity,inverse(multiply(inverse(X_12),X_10))))
    | double_divide(double_divide(identity,X_10),double_divide(identity,inverse(multiply(inverse(X_12),X_10)))) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))),X_12) ),[0],$fot(double_divide(double_divide(identity,X_10),double_divide(identity,inverse(multiply(inverse(X_12),X_10)))))]]) ).

cnf(refute_0_71,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,inverse(multiply(inverse(X_12),X_10)))) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))),double_divide(double_divide(identity,X_10),double_divide(identity,inverse(multiply(inverse(X_12),X_10))))) )],[refute_0_69,refute_0_70]) ).

cnf(refute_0_72,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,inverse(multiply(inverse(X_12),X_10)))) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(inverse(X_12),X_10),identity))),X_12) )],[refute_0_60,refute_0_71]) ).

cnf(refute_0_73,plain,
    double_divide(double_divide(identity,inverse(identity)),double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))) = X_14,
    inference(subst,[],[refute_0_72:[bind(X_10,$fot(inverse(identity))),bind(X_12,$fot(X_14))]]) ).

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

cnf(refute_0_75,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_76,plain,
    double_divide(identity,inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(identity,inverse(identity))) )],[refute_0_74,refute_0_75]) ).

cnf(refute_0_77,plain,
    ( double_divide(double_divide(identity,inverse(identity)),double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))) != X_14
    | double_divide(identity,inverse(identity)) != identity
    | double_divide(identity,double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))) = X_14 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))),X_14) ),[0,0],$fot(identity)]]) ).

cnf(refute_0_78,plain,
    ( double_divide(double_divide(identity,inverse(identity)),double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))) != X_14
    | double_divide(identity,double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))) = X_14 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_76,refute_0_77]) ).

cnf(refute_0_79,plain,
    double_divide(identity,double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))) = X_14,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))),X_14) )],[refute_0_73,refute_0_78]) ).

cnf(refute_0_80,plain,
    double_divide(double_divide(identity,X_13),double_divide(identity,inverse(multiply(inverse(X_13),X_13)))) = X_13,
    inference(subst,[],[refute_0_72:[bind(X_10,$fot(X_13)),bind(X_12,$fot(X_13))]]) ).

cnf(refute_0_81,plain,
    multiply(inverse(X_3),X_3) = inverse(double_divide(X_3,inverse(X_3))),
    inference(subst,[],[refute_0_8:[bind(A,$fot(inverse(X_3))),bind(B,$fot(X_3))]]) ).

cnf(refute_0_82,plain,
    identity = double_divide(X_3,inverse(X_3)),
    inference(subst,[],[identity:[bind(A,$fot(X_3))]]) ).

cnf(refute_0_83,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_84,plain,
    double_divide(X_3,inverse(X_3)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_3,inverse(X_3))) )],[refute_0_82,refute_0_83]) ).

cnf(refute_0_85,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_86,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_84,refute_0_85]) ).

cnf(refute_0_87,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_81,refute_0_86]) ).

cnf(refute_0_88,plain,
    multiply(inverse(X_13),X_13) = inverse(identity),
    inference(subst,[],[refute_0_87:[bind(X_3,$fot(X_13))]]) ).

cnf(refute_0_89,plain,
    ( multiply(inverse(X_13),X_13) != inverse(identity)
    | double_divide(double_divide(identity,X_13),double_divide(identity,inverse(multiply(inverse(X_13),X_13)))) != X_13
    | double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) = X_13 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(multiply(inverse(X_13),X_13)))),X_13) ),[0,1,1,0],$fot(inverse(identity))]]) ).

cnf(refute_0_90,plain,
    ( double_divide(double_divide(identity,X_13),double_divide(identity,inverse(multiply(inverse(X_13),X_13)))) != X_13
    | double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) = X_13 ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_13),X_13),inverse(identity)) )],[refute_0_88,refute_0_89]) ).

cnf(refute_0_91,plain,
    double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) = X_13,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(multiply(inverse(X_13),X_13)))),X_13) )],[refute_0_80,refute_0_90]) ).

cnf(refute_0_92,plain,
    inverse(double_divide(identity,X_13)) = multiply(X_13,identity),
    inference(subst,[],[refute_0_37:[bind(A,$fot(X_13)),bind(B,$fot(identity))]]) ).

cnf(refute_0_93,plain,
    double_divide(double_divide(identity,X_13),identity) = inverse(double_divide(identity,X_13)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,X_13)))]]) ).

cnf(refute_0_94,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_95,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_94]) ).

cnf(refute_0_96,plain,
    ( double_divide(double_divide(identity,X_13),identity) != inverse(double_divide(identity,X_13))
    | inverse(double_divide(identity,X_13)) != multiply(X_13,identity)
    | double_divide(double_divide(identity,X_13),identity) = multiply(X_13,identity) ),
    inference(subst,[],[refute_0_95:[bind(X,$fot(double_divide(double_divide(identity,X_13),identity))),bind(Y,$fot(inverse(double_divide(identity,X_13)))),bind(Z,$fot(multiply(X_13,identity)))]]) ).

cnf(refute_0_97,plain,
    ( inverse(double_divide(identity,X_13)) != multiply(X_13,identity)
    | double_divide(double_divide(identity,X_13),identity) = multiply(X_13,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),identity),inverse(double_divide(identity,X_13))) )],[refute_0_93,refute_0_96]) ).

cnf(refute_0_98,plain,
    double_divide(double_divide(identity,X_13),identity) = multiply(X_13,identity),
    inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_13)),multiply(X_13,identity)) )],[refute_0_92,refute_0_97]) ).

cnf(refute_0_99,plain,
    double_divide(double_divide(identity,double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(inverse(identity)))) = double_divide(identity,inverse(inverse(identity))),
    inference(subst,[],[refute_0_91:[bind(X_13,$fot(double_divide(identity,inverse(inverse(identity)))))]]) ).

cnf(refute_0_100,plain,
    double_divide(identity,double_divide(identity,inverse(multiply(inverse(inverse(identity)),inverse(identity))))) = inverse(identity),
    inference(subst,[],[refute_0_79:[bind(X_14,$fot(inverse(identity)))]]) ).

cnf(refute_0_101,plain,
    multiply(inverse(inverse(identity)),inverse(identity)) = inverse(identity),
    inference(subst,[],[refute_0_87:[bind(X_3,$fot(inverse(identity)))]]) ).

cnf(refute_0_102,plain,
    ( multiply(inverse(inverse(identity)),inverse(identity)) != inverse(identity)
    | double_divide(identity,double_divide(identity,inverse(multiply(inverse(inverse(identity)),inverse(identity))))) != inverse(identity)
    | double_divide(identity,double_divide(identity,inverse(inverse(identity)))) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(multiply(inverse(inverse(identity)),inverse(identity))))),inverse(identity)) ),[0,1,1,0],$fot(inverse(identity))]]) ).

cnf(refute_0_103,plain,
    ( double_divide(identity,double_divide(identity,inverse(multiply(inverse(inverse(identity)),inverse(identity))))) != inverse(identity)
    | double_divide(identity,double_divide(identity,inverse(inverse(identity)))) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),inverse(identity)),inverse(identity)) )],[refute_0_101,refute_0_102]) ).

cnf(refute_0_104,plain,
    double_divide(identity,double_divide(identity,inverse(inverse(identity)))) = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(multiply(inverse(inverse(identity)),inverse(identity))))),inverse(identity)) )],[refute_0_100,refute_0_103]) ).

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

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

cnf(refute_0_107,plain,
    double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = double_divide(identity,inverse(inverse(identity))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(inverse(identity)))) )],[refute_0_99,refute_0_106]) ).

cnf(refute_0_108,plain,
    double_divide(double_divide(identity,identity),double_divide(identity,inverse(multiply(inverse(X_14),identity)))) = X_14,
    inference(subst,[],[refute_0_72:[bind(X_10,$fot(identity)),bind(X_12,$fot(X_14))]]) ).

cnf(refute_0_109,plain,
    inverse(identity) = double_divide(identity,identity),
    inference(subst,[],[inverse:[bind(A,$fot(identity))]]) ).

cnf(refute_0_110,plain,
    ( inverse(identity) != double_divide(identity,identity)
    | double_divide(identity,identity) = inverse(identity) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(identity))),bind(Y,$fot(double_divide(identity,identity)))]]) ).

cnf(refute_0_111,plain,
    double_divide(identity,identity) = inverse(identity),
    inference(resolve,[$cnf( $equal(inverse(identity),double_divide(identity,identity)) )],[refute_0_109,refute_0_110]) ).

cnf(refute_0_112,plain,
    ( double_divide(double_divide(identity,identity),double_divide(identity,inverse(multiply(inverse(X_14),identity)))) != X_14
    | double_divide(identity,identity) != inverse(identity)
    | double_divide(inverse(identity),double_divide(identity,inverse(multiply(inverse(X_14),identity)))) = X_14 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,inverse(multiply(inverse(X_14),identity)))),X_14) ),[0,0],$fot(inverse(identity))]]) ).

cnf(refute_0_113,plain,
    ( double_divide(double_divide(identity,identity),double_divide(identity,inverse(multiply(inverse(X_14),identity)))) != X_14
    | double_divide(inverse(identity),double_divide(identity,inverse(multiply(inverse(X_14),identity)))) = X_14 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_111,refute_0_112]) ).

cnf(refute_0_114,plain,
    double_divide(inverse(identity),double_divide(identity,inverse(multiply(inverse(X_14),identity)))) = X_14,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,inverse(multiply(inverse(X_14),identity)))),X_14) )],[refute_0_108,refute_0_113]) ).

cnf(refute_0_115,plain,
    double_divide(inverse(identity),double_divide(identity,inverse(multiply(inverse(identity),identity)))) = identity,
    inference(subst,[],[refute_0_114:[bind(X_14,$fot(identity))]]) ).

cnf(refute_0_116,plain,
    multiply(inverse(identity),identity) = inverse(identity),
    inference(subst,[],[refute_0_87:[bind(X_3,$fot(identity))]]) ).

cnf(refute_0_117,plain,
    ( multiply(inverse(identity),identity) != inverse(identity)
    | double_divide(inverse(identity),double_divide(identity,inverse(multiply(inverse(identity),identity)))) != identity
    | double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,inverse(multiply(inverse(identity),identity)))),identity) ),[0,1,1,0],$fot(inverse(identity))]]) ).

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

cnf(refute_0_119,plain,
    double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = identity,
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,inverse(multiply(inverse(identity),identity)))),identity) )],[refute_0_115,refute_0_118]) ).

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

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

cnf(refute_0_122,plain,
    identity = double_divide(identity,inverse(inverse(identity))),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),double_divide(identity,inverse(inverse(identity)))) )],[refute_0_107,refute_0_121]) ).

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

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

cnf(refute_0_125,plain,
    double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) = double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))))]]) ).

cnf(refute_0_126,plain,
    ( double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) != double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity))))
    | double_divide(identity,inverse(inverse(identity))) != identity
    | double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) = double_divide(double_divide(identity,X_13),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))),double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity))))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_127,plain,
    ( double_divide(identity,inverse(inverse(identity))) != identity
    | double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) = double_divide(double_divide(identity,X_13),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))),double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity))))) )],[refute_0_125,refute_0_126]) ).

cnf(refute_0_128,plain,
    double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) = double_divide(double_divide(identity,X_13),identity),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(identity))),identity) )],[refute_0_124,refute_0_127]) ).

cnf(refute_0_129,plain,
    ( double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) != double_divide(double_divide(identity,X_13),identity)
    | double_divide(double_divide(identity,X_13),identity) != multiply(X_13,identity)
    | double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) = multiply(X_13,identity) ),
    inference(subst,[],[refute_0_95:[bind(X,$fot(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))))),bind(Y,$fot(double_divide(double_divide(identity,X_13),identity))),bind(Z,$fot(multiply(X_13,identity)))]]) ).

cnf(refute_0_130,plain,
    ( double_divide(double_divide(identity,X_13),identity) != multiply(X_13,identity)
    | double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) = multiply(X_13,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))),double_divide(double_divide(identity,X_13),identity)) )],[refute_0_128,refute_0_129]) ).

cnf(refute_0_131,plain,
    double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) = multiply(X_13,identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),identity),multiply(X_13,identity)) )],[refute_0_98,refute_0_130]) ).

cnf(refute_0_132,plain,
    ( double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) != X_13
    | double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) != multiply(X_13,identity)
    | multiply(X_13,identity) = X_13 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))),X_13) ),[0],$fot(multiply(X_13,identity))]]) ).

cnf(refute_0_133,plain,
    ( double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))) != X_13
    | multiply(X_13,identity) = X_13 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))),multiply(X_13,identity)) )],[refute_0_131,refute_0_132]) ).

cnf(refute_0_134,plain,
    multiply(X_13,identity) = X_13,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),double_divide(identity,inverse(inverse(identity)))),X_13) )],[refute_0_91,refute_0_133]) ).

cnf(refute_0_135,plain,
    multiply(inverse(X_14),identity) = inverse(X_14),
    inference(subst,[],[refute_0_134:[bind(X_13,$fot(inverse(X_14)))]]) ).

cnf(refute_0_136,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),double_divide(X_12,identity)))) = X_12,
    inference(subst,[],[refute_0_53:[bind(A,$fot(X_10)),bind(B,$fot(identity)),bind(C,$fot(X_12))]]) ).

cnf(refute_0_137,plain,
    inverse(X_12) = double_divide(X_12,identity),
    inference(subst,[],[inverse:[bind(A,$fot(X_12))]]) ).

cnf(refute_0_138,plain,
    ( inverse(X_12) != double_divide(X_12,identity)
    | double_divide(X_12,identity) = inverse(X_12) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_12))),bind(Y,$fot(double_divide(X_12,identity)))]]) ).

cnf(refute_0_139,plain,
    double_divide(X_12,identity) = inverse(X_12),
    inference(resolve,[$cnf( $equal(inverse(X_12),double_divide(X_12,identity)) )],[refute_0_137,refute_0_138]) ).

cnf(refute_0_140,plain,
    ( double_divide(X_12,identity) != inverse(X_12)
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),double_divide(X_12,identity)))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),double_divide(X_12,identity)))),X_12) ),[0,1,1,1],$fot(inverse(X_12))]]) ).

cnf(refute_0_141,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),double_divide(X_12,identity)))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(X_12,identity),inverse(X_12)) )],[refute_0_139,refute_0_140]) ).

cnf(refute_0_142,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),double_divide(X_12,identity)))),X_12) )],[refute_0_136,refute_0_141]) ).

cnf(refute_0_143,plain,
    multiply(identity,X_10) = inverse(inverse(X_10)),
    inference(subst,[],[refute_0_15:[bind(X_3,$fot(X_10))]]) ).

cnf(refute_0_144,plain,
    double_divide(multiply(identity,X_10),inverse(X_12)) = double_divide(multiply(identity,X_10),inverse(X_12)),
    introduced(tautology,[refl,[$fot(double_divide(multiply(identity,X_10),inverse(X_12)))]]) ).

cnf(refute_0_145,plain,
    ( multiply(identity,X_10) != inverse(inverse(X_10))
    | double_divide(multiply(identity,X_10),inverse(X_12)) != double_divide(multiply(identity,X_10),inverse(X_12))
    | double_divide(multiply(identity,X_10),inverse(X_12)) = double_divide(inverse(inverse(X_10)),inverse(X_12)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(identity,X_10),inverse(X_12)),double_divide(multiply(identity,X_10),inverse(X_12))) ),[1,0],$fot(inverse(inverse(X_10)))]]) ).

cnf(refute_0_146,plain,
    ( multiply(identity,X_10) != inverse(inverse(X_10))
    | double_divide(multiply(identity,X_10),inverse(X_12)) = double_divide(inverse(inverse(X_10)),inverse(X_12)) ),
    inference(resolve,[$cnf( $equal(double_divide(multiply(identity,X_10),inverse(X_12)),double_divide(multiply(identity,X_10),inverse(X_12))) )],[refute_0_144,refute_0_145]) ).

cnf(refute_0_147,plain,
    double_divide(multiply(identity,X_10),inverse(X_12)) = double_divide(inverse(inverse(X_10)),inverse(X_12)),
    inference(resolve,[$cnf( $equal(multiply(identity,X_10),inverse(inverse(X_10))) )],[refute_0_143,refute_0_146]) ).

cnf(refute_0_148,plain,
    double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))) = double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))))]]) ).

cnf(refute_0_149,plain,
    ( double_divide(multiply(identity,X_10),inverse(X_12)) != double_divide(inverse(inverse(X_10)),inverse(X_12))
    | double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))) != double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))
    | double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))) = double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) ),[1,1],$fot(double_divide(inverse(inverse(X_10)),inverse(X_12)))]]) ).

cnf(refute_0_150,plain,
    ( double_divide(multiply(identity,X_10),inverse(X_12)) != double_divide(inverse(inverse(X_10)),inverse(X_12))
    | double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))) = double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) )],[refute_0_148,refute_0_149]) ).

cnf(refute_0_151,plain,
    double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))) = double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12))),
    inference(resolve,[$cnf( $equal(double_divide(multiply(identity,X_10),inverse(X_12)),double_divide(inverse(inverse(X_10)),inverse(X_12))) )],[refute_0_147,refute_0_150]) ).

cnf(refute_0_152,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))))]]) ).

cnf(refute_0_153,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) != double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))))
    | double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))) != double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))),double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))))) ),[1,1],$fot(double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12))))]]) ).

cnf(refute_0_154,plain,
    ( double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))) != double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))),double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))))) )],[refute_0_152,refute_0_153]) ).

cnf(refute_0_155,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) = double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12))),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))) )],[refute_0_151,refute_0_154]) ).

cnf(refute_0_156,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) != double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12))))
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))),X_12) ),[0],$fot(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))))]]) ).

cnf(refute_0_157,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))),double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12))))) )],[refute_0_155,refute_0_156]) ).

cnf(refute_0_158,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(multiply(identity,X_10),inverse(X_12)))),X_12) )],[refute_0_142,refute_0_157]) ).

cnf(refute_0_159,plain,
    double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),double_divide(double_divide(identity,X_17),double_divide(identity,inverse(inverse(identity))))))) = double_divide(identity,X_17),
    inference(subst,[],[refute_0_53:[bind(B,$fot(double_divide(identity,inverse(inverse(identity))))),bind(C,$fot(double_divide(identity,X_17)))]]) ).

cnf(refute_0_160,plain,
    double_divide(double_divide(identity,X_17),double_divide(identity,inverse(inverse(identity)))) = X_17,
    inference(subst,[],[refute_0_91:[bind(X_13,$fot(X_17))]]) ).

cnf(refute_0_161,plain,
    ( double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),double_divide(double_divide(identity,X_17),double_divide(identity,inverse(inverse(identity))))))) != double_divide(identity,X_17)
    | double_divide(double_divide(identity,X_17),double_divide(identity,inverse(inverse(identity)))) != X_17
    | double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17))) = double_divide(identity,X_17) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),double_divide(double_divide(identity,X_17),double_divide(identity,inverse(inverse(identity))))))),double_divide(identity,X_17)) ),[0,1,1,1],$fot(X_17)]]) ).

cnf(refute_0_162,plain,
    ( double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),double_divide(double_divide(identity,X_17),double_divide(identity,inverse(inverse(identity))))))) != double_divide(identity,X_17)
    | double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17))) = double_divide(identity,X_17) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_17),double_divide(identity,inverse(inverse(identity)))),X_17) )],[refute_0_160,refute_0_161]) ).

cnf(refute_0_163,plain,
    double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17))) = double_divide(identity,X_17),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),double_divide(double_divide(identity,X_17),double_divide(identity,inverse(inverse(identity))))))),double_divide(identity,X_17)) )],[refute_0_159,refute_0_162]) ).

cnf(refute_0_164,plain,
    multiply(identity,A) = inverse(inverse(A)),
    inference(subst,[],[refute_0_15:[bind(X_3,$fot(A))]]) ).

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

cnf(refute_0_166,plain,
    ( multiply(double_divide(identity,inverse(inverse(identity))),A) != multiply(double_divide(identity,inverse(inverse(identity))),A)
    | double_divide(identity,inverse(inverse(identity))) != identity
    | multiply(double_divide(identity,inverse(inverse(identity))),A) = multiply(identity,A) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(identity))),A),multiply(double_divide(identity,inverse(inverse(identity))),A)) ),[1,0],$fot(identity)]]) ).

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

cnf(refute_0_168,plain,
    multiply(double_divide(identity,inverse(inverse(identity))),A) = multiply(identity,A),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(identity))),identity) )],[refute_0_124,refute_0_167]) ).

cnf(refute_0_169,plain,
    ( multiply(double_divide(identity,inverse(inverse(identity))),A) != multiply(identity,A)
    | multiply(identity,A) != inverse(inverse(A))
    | multiply(double_divide(identity,inverse(inverse(identity))),A) = inverse(inverse(A)) ),
    inference(subst,[],[refute_0_95:[bind(X,$fot(multiply(double_divide(identity,inverse(inverse(identity))),A))),bind(Y,$fot(multiply(identity,A))),bind(Z,$fot(inverse(inverse(A))))]]) ).

cnf(refute_0_170,plain,
    ( multiply(identity,A) != inverse(inverse(A))
    | multiply(double_divide(identity,inverse(inverse(identity))),A) = inverse(inverse(A)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(identity))),A),multiply(identity,A)) )],[refute_0_168,refute_0_169]) ).

cnf(refute_0_171,plain,
    multiply(double_divide(identity,inverse(inverse(identity))),A) = inverse(inverse(A)),
    inference(resolve,[$cnf( $equal(multiply(identity,A),inverse(inverse(A))) )],[refute_0_164,refute_0_170]) ).

cnf(refute_0_172,plain,
    double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17) = double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17),
    introduced(tautology,[refl,[$fot(double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17))]]) ).

cnf(refute_0_173,plain,
    ( multiply(double_divide(identity,inverse(inverse(identity))),A) != inverse(inverse(A))
    | double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17) != double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17)
    | double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17) = double_divide(inverse(inverse(A)),X_17) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17),double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17)) ),[1,0],$fot(inverse(inverse(A)))]]) ).

cnf(refute_0_174,plain,
    ( multiply(double_divide(identity,inverse(inverse(identity))),A) != inverse(inverse(A))
    | double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17) = double_divide(inverse(inverse(A)),X_17) ),
    inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17),double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17)) )],[refute_0_172,refute_0_173]) ).

cnf(refute_0_175,plain,
    double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17) = double_divide(inverse(inverse(A)),X_17),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(identity))),A),inverse(inverse(A))) )],[refute_0_171,refute_0_174]) ).

cnf(refute_0_176,plain,
    double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17)) = double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17)),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17)))]]) ).

cnf(refute_0_177,plain,
    ( double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17) != double_divide(inverse(inverse(A)),X_17)
    | double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17)) != double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17))
    | double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17)) = double_divide(identity,double_divide(inverse(inverse(A)),X_17)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17)),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17))) ),[1,1],$fot(double_divide(inverse(inverse(A)),X_17))]]) ).

cnf(refute_0_178,plain,
    ( double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17) != double_divide(inverse(inverse(A)),X_17)
    | double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17)) = double_divide(identity,double_divide(inverse(inverse(A)),X_17)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17)),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17))) )],[refute_0_176,refute_0_177]) ).

cnf(refute_0_179,plain,
    double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17)) = double_divide(identity,double_divide(inverse(inverse(A)),X_17)),
    inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17),double_divide(inverse(inverse(A)),X_17)) )],[refute_0_175,refute_0_178]) ).

cnf(refute_0_180,plain,
    double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17))) = double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17))))]]) ).

cnf(refute_0_181,plain,
    ( double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17))) != double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17)))
    | double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17)) != double_divide(identity,double_divide(inverse(inverse(A)),X_17))
    | double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17))) = double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(inverse(A)),X_17))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17))),double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17)))) ),[1,1],$fot(double_divide(identity,double_divide(inverse(inverse(A)),X_17)))]]) ).

cnf(refute_0_182,plain,
    ( double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17)) != double_divide(identity,double_divide(inverse(inverse(A)),X_17))
    | double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17))) = double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(inverse(A)),X_17))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17))),double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17)))) )],[refute_0_180,refute_0_181]) ).

cnf(refute_0_183,plain,
    double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17))) = double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(inverse(A)),X_17))),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17)),double_divide(identity,double_divide(inverse(inverse(A)),X_17))) )],[refute_0_179,refute_0_182]) ).

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

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

cnf(refute_0_186,plain,
    double_divide(double_divide(identity,A),double_divide(identity,double_divide(inverse(inverse(A)),X_17))) = double_divide(identity,X_17),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,A),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),A),X_17))),double_divide(identity,X_17)) )],[refute_0_163,refute_0_185]) ).

cnf(refute_0_187,plain,
    double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))) = double_divide(identity,inverse(X_12)),
    inference(subst,[],[refute_0_186:[bind(A,$fot(X_10)),bind(X_17,$fot(inverse(X_12)))]]) ).

cnf(refute_0_188,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))) != X_12
    | double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))) != double_divide(identity,inverse(X_12))
    | double_divide(identity,inverse(X_12)) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))),X_12) ),[0],$fot(double_divide(identity,inverse(X_12)))]]) ).

cnf(refute_0_189,plain,
    ( double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))) != X_12
    | double_divide(identity,inverse(X_12)) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))),double_divide(identity,inverse(X_12))) )],[refute_0_187,refute_0_188]) ).

cnf(refute_0_190,plain,
    double_divide(identity,inverse(X_12)) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_10),double_divide(identity,double_divide(inverse(inverse(X_10)),inverse(X_12)))),X_12) )],[refute_0_158,refute_0_189]) ).

cnf(refute_0_191,plain,
    double_divide(identity,inverse(inverse(identity))) = inverse(identity),
    inference(subst,[],[refute_0_190:[bind(X_12,$fot(inverse(identity)))]]) ).

cnf(refute_0_192,plain,
    ( double_divide(identity,inverse(inverse(identity))) != inverse(identity)
    | identity != double_divide(identity,inverse(inverse(identity)))
    | identity = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(identity,inverse(inverse(identity)))) ),[1],$fot(inverse(identity))]]) ).

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

cnf(refute_0_194,plain,
    identity = inverse(identity),
    inference(resolve,[$cnf( $equal(identity,double_divide(identity,inverse(inverse(identity)))) )],[refute_0_122,refute_0_193]) ).

cnf(refute_0_195,plain,
    ( identity != inverse(identity)
    | inverse(identity) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(identity)))]]) ).

cnf(refute_0_196,plain,
    inverse(identity) = identity,
    inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_194,refute_0_195]) ).

cnf(refute_0_197,plain,
    multiply(inverse(X_14),inverse(identity)) = multiply(inverse(X_14),inverse(identity)),
    introduced(tautology,[refl,[$fot(multiply(inverse(X_14),inverse(identity)))]]) ).

cnf(refute_0_198,plain,
    ( multiply(inverse(X_14),inverse(identity)) != multiply(inverse(X_14),inverse(identity))
    | inverse(identity) != identity
    | multiply(inverse(X_14),inverse(identity)) = multiply(inverse(X_14),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_14),inverse(identity)),multiply(inverse(X_14),inverse(identity))) ),[1,1],$fot(identity)]]) ).

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

cnf(refute_0_200,plain,
    multiply(inverse(X_14),inverse(identity)) = multiply(inverse(X_14),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_196,refute_0_199]) ).

cnf(refute_0_201,plain,
    ( multiply(inverse(X_14),identity) != inverse(X_14)
    | multiply(inverse(X_14),inverse(identity)) != multiply(inverse(X_14),identity)
    | multiply(inverse(X_14),inverse(identity)) = inverse(X_14) ),
    inference(subst,[],[refute_0_95:[bind(X,$fot(multiply(inverse(X_14),inverse(identity)))),bind(Y,$fot(multiply(inverse(X_14),identity))),bind(Z,$fot(inverse(X_14)))]]) ).

cnf(refute_0_202,plain,
    ( multiply(inverse(X_14),identity) != inverse(X_14)
    | multiply(inverse(X_14),inverse(identity)) = inverse(X_14) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_14),inverse(identity)),multiply(inverse(X_14),identity)) )],[refute_0_200,refute_0_201]) ).

cnf(refute_0_203,plain,
    multiply(inverse(X_14),inverse(identity)) = inverse(X_14),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_14),identity),inverse(X_14)) )],[refute_0_135,refute_0_202]) ).

cnf(refute_0_204,plain,
    inverse(multiply(inverse(X_14),inverse(identity))) = inverse(multiply(inverse(X_14),inverse(identity))),
    introduced(tautology,[refl,[$fot(inverse(multiply(inverse(X_14),inverse(identity))))]]) ).

cnf(refute_0_205,plain,
    ( multiply(inverse(X_14),inverse(identity)) != inverse(X_14)
    | inverse(multiply(inverse(X_14),inverse(identity))) != inverse(multiply(inverse(X_14),inverse(identity)))
    | inverse(multiply(inverse(X_14),inverse(identity))) = inverse(inverse(X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_14),inverse(identity))),inverse(multiply(inverse(X_14),inverse(identity)))) ),[1,0],$fot(inverse(X_14))]]) ).

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

cnf(refute_0_207,plain,
    inverse(multiply(inverse(X_14),inverse(identity))) = inverse(inverse(X_14)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_14),inverse(identity)),inverse(X_14)) )],[refute_0_203,refute_0_206]) ).

cnf(refute_0_208,plain,
    double_divide(double_divide(identity,identity),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),identity),double_divide(C,double_divide(identity,inverse(inverse(identity))))))) = C,
    inference(subst,[],[refute_0_53:[bind(A,$fot(identity)),bind(B,$fot(double_divide(identity,inverse(inverse(identity)))))]]) ).

cnf(refute_0_209,plain,
    multiply(double_divide(identity,inverse(inverse(identity))),identity) = inverse(double_divide(identity,double_divide(identity,inverse(inverse(identity))))),
    inference(subst,[],[refute_0_8:[bind(A,$fot(double_divide(identity,inverse(inverse(identity))))),bind(B,$fot(identity))]]) ).

cnf(refute_0_210,plain,
    ( multiply(double_divide(identity,inverse(inverse(identity))),identity) != inverse(double_divide(identity,double_divide(identity,inverse(inverse(identity)))))
    | double_divide(identity,double_divide(identity,inverse(inverse(identity)))) != inverse(identity)
    | multiply(double_divide(identity,inverse(inverse(identity))),identity) = inverse(inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(identity))),identity),inverse(double_divide(identity,double_divide(identity,inverse(inverse(identity)))))) ),[1,0],$fot(inverse(identity))]]) ).

cnf(refute_0_211,plain,
    ( multiply(double_divide(identity,inverse(inverse(identity))),identity) != inverse(double_divide(identity,double_divide(identity,inverse(inverse(identity)))))
    | multiply(double_divide(identity,inverse(inverse(identity))),identity) = inverse(inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(inverse(identity)))),inverse(identity)) )],[refute_0_104,refute_0_210]) ).

cnf(refute_0_212,plain,
    multiply(double_divide(identity,inverse(inverse(identity))),identity) = inverse(inverse(identity)),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(identity))),identity),inverse(double_divide(identity,double_divide(identity,inverse(inverse(identity)))))) )],[refute_0_209,refute_0_211]) ).

cnf(refute_0_213,plain,
    ( multiply(double_divide(identity,inverse(inverse(identity))),identity) != inverse(inverse(identity))
    | double_divide(double_divide(identity,identity),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),identity),double_divide(C,double_divide(identity,inverse(inverse(identity))))))) != C
    | double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))) = C ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),identity),double_divide(C,double_divide(identity,inverse(inverse(identity))))))),C) ),[0,1,1,0],$fot(inverse(inverse(identity)))]]) ).

cnf(refute_0_214,plain,
    ( double_divide(double_divide(identity,identity),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),identity),double_divide(C,double_divide(identity,inverse(inverse(identity))))))) != C
    | double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))) = C ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(identity))),identity),inverse(inverse(identity))) )],[refute_0_212,refute_0_213]) ).

cnf(refute_0_215,plain,
    double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))) = C,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(multiply(double_divide(identity,inverse(inverse(identity))),identity),double_divide(C,double_divide(identity,inverse(inverse(identity))))))),C) )],[refute_0_208,refute_0_214]) ).

cnf(refute_0_216,plain,
    double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))) = double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))))]]) ).

cnf(refute_0_217,plain,
    ( double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))) != double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity)))))))
    | double_divide(identity,identity) != inverse(identity)
    | double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))) = double_divide(inverse(identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))),double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity)))))))) ),[1,0],$fot(inverse(identity))]]) ).

cnf(refute_0_218,plain,
    ( double_divide(identity,identity) != inverse(identity)
    | double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))) = double_divide(inverse(identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))),double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity)))))))) )],[refute_0_216,refute_0_217]) ).

cnf(refute_0_219,plain,
    double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))) = double_divide(inverse(identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_111,refute_0_218]) ).

cnf(refute_0_220,plain,
    ( double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))) != C
    | double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))) != double_divide(inverse(identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity)))))))
    | double_divide(inverse(identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))) = C ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))),C) ),[0],$fot(double_divide(inverse(identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))))]]) ).

cnf(refute_0_221,plain,
    ( double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))) != C
    | double_divide(inverse(identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))) = C ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))),double_divide(inverse(identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity)))))))) )],[refute_0_219,refute_0_220]) ).

cnf(refute_0_222,plain,
    double_divide(inverse(identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))) = C,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))),C) )],[refute_0_215,refute_0_221]) ).

cnf(refute_0_223,plain,
    double_divide(identity,inverse(C)) = C,
    inference(subst,[],[refute_0_190:[bind(X_12,$fot(C))]]) ).

cnf(refute_0_224,plain,
    double_divide(C,identity) = inverse(C),
    inference(subst,[],[refute_0_4:[bind(A,$fot(C))]]) ).

cnf(refute_0_225,plain,
    double_divide(C,double_divide(identity,inverse(inverse(identity)))) = double_divide(C,double_divide(identity,inverse(inverse(identity)))),
    introduced(tautology,[refl,[$fot(double_divide(C,double_divide(identity,inverse(inverse(identity)))))]]) ).

cnf(refute_0_226,plain,
    ( double_divide(C,double_divide(identity,inverse(inverse(identity)))) != double_divide(C,double_divide(identity,inverse(inverse(identity))))
    | double_divide(identity,inverse(inverse(identity))) != identity
    | double_divide(C,double_divide(identity,inverse(inverse(identity)))) = double_divide(C,identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(C,double_divide(identity,inverse(inverse(identity)))),double_divide(C,double_divide(identity,inverse(inverse(identity))))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_227,plain,
    ( double_divide(identity,inverse(inverse(identity))) != identity
    | double_divide(C,double_divide(identity,inverse(inverse(identity)))) = double_divide(C,identity) ),
    inference(resolve,[$cnf( $equal(double_divide(C,double_divide(identity,inverse(inverse(identity)))),double_divide(C,double_divide(identity,inverse(inverse(identity))))) )],[refute_0_225,refute_0_226]) ).

cnf(refute_0_228,plain,
    double_divide(C,double_divide(identity,inverse(inverse(identity)))) = double_divide(C,identity),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(identity))),identity) )],[refute_0_124,refute_0_227]) ).

cnf(refute_0_229,plain,
    ( double_divide(C,double_divide(identity,inverse(inverse(identity)))) != double_divide(C,identity)
    | double_divide(C,identity) != inverse(C)
    | double_divide(C,double_divide(identity,inverse(inverse(identity)))) = inverse(C) ),
    inference(subst,[],[refute_0_95:[bind(X,$fot(double_divide(C,double_divide(identity,inverse(inverse(identity)))))),bind(Y,$fot(double_divide(C,identity))),bind(Z,$fot(inverse(C)))]]) ).

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

cnf(refute_0_231,plain,
    double_divide(C,double_divide(identity,inverse(inverse(identity)))) = inverse(C),
    inference(resolve,[$cnf( $equal(double_divide(C,identity),inverse(C)) )],[refute_0_224,refute_0_230]) ).

cnf(refute_0_232,plain,
    double_divide(identity,double_divide(C,double_divide(identity,inverse(inverse(identity))))) = double_divide(identity,double_divide(C,double_divide(identity,inverse(inverse(identity))))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(C,double_divide(identity,inverse(inverse(identity))))))]]) ).

cnf(refute_0_233,plain,
    ( double_divide(C,double_divide(identity,inverse(inverse(identity)))) != inverse(C)
    | double_divide(identity,double_divide(C,double_divide(identity,inverse(inverse(identity))))) != double_divide(identity,double_divide(C,double_divide(identity,inverse(inverse(identity)))))
    | double_divide(identity,double_divide(C,double_divide(identity,inverse(inverse(identity))))) = double_divide(identity,inverse(C)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(C,double_divide(identity,inverse(inverse(identity))))),double_divide(identity,double_divide(C,double_divide(identity,inverse(inverse(identity)))))) ),[1,1],$fot(inverse(C))]]) ).

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

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

cnf(refute_0_236,plain,
    double_divide(inverse(identity),identity) = inverse(inverse(identity)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(identity)))]]) ).

cnf(refute_0_237,plain,
    double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))))]]) ).

cnf(refute_0_238,plain,
    ( double_divide(identity,inverse(inverse(identity))) != identity
    | double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) != double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity))))
    | double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = double_divide(inverse(identity),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity))))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_239,plain,
    ( double_divide(identity,inverse(inverse(identity))) != identity
    | double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = double_divide(inverse(identity),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity))))) )],[refute_0_237,refute_0_238]) ).

cnf(refute_0_240,plain,
    double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = double_divide(inverse(identity),identity),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(identity))),identity) )],[refute_0_124,refute_0_239]) ).

cnf(refute_0_241,plain,
    ( double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) != double_divide(inverse(identity),identity)
    | double_divide(inverse(identity),identity) != inverse(inverse(identity))
    | double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = inverse(inverse(identity)) ),
    inference(subst,[],[refute_0_95:[bind(X,$fot(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))))),bind(Y,$fot(double_divide(inverse(identity),identity))),bind(Z,$fot(inverse(inverse(identity))))]]) ).

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

cnf(refute_0_243,plain,
    double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) = inverse(inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),identity),inverse(inverse(identity))) )],[refute_0_236,refute_0_242]) ).

cnf(refute_0_244,plain,
    ( double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) != identity
    | double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) != inverse(inverse(identity))
    | inverse(inverse(identity)) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity) ),[0],$fot(inverse(inverse(identity)))]]) ).

cnf(refute_0_245,plain,
    ( double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))) != identity
    | inverse(inverse(identity)) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),inverse(inverse(identity))) )],[refute_0_243,refute_0_244]) ).

cnf(refute_0_246,plain,
    inverse(inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,inverse(inverse(identity)))),identity) )],[refute_0_119,refute_0_245]) ).

cnf(refute_0_247,plain,
    double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))) = double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))]]) ).

cnf(refute_0_248,plain,
    ( double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))) != double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity)))))
    | inverse(inverse(identity)) != identity
    | double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))) = double_divide(identity,double_divide(C,double_divide(identity,inverse(inverse(identity))))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))),double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity)))))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_249,plain,
    ( inverse(inverse(identity)) != identity
    | double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))) = double_divide(identity,double_divide(C,double_divide(identity,inverse(inverse(identity))))) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))),double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity)))))) )],[refute_0_247,refute_0_248]) ).

cnf(refute_0_250,plain,
    double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))) = double_divide(identity,double_divide(C,double_divide(identity,inverse(inverse(identity))))),
    inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_246,refute_0_249]) ).

cnf(refute_0_251,plain,
    ( double_divide(identity,double_divide(C,double_divide(identity,inverse(inverse(identity))))) != double_divide(identity,inverse(C))
    | double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))) != double_divide(identity,double_divide(C,double_divide(identity,inverse(inverse(identity)))))
    | double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))) = double_divide(identity,inverse(C)) ),
    inference(subst,[],[refute_0_95:[bind(X,$fot(double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))),bind(Y,$fot(double_divide(identity,double_divide(C,double_divide(identity,inverse(inverse(identity))))))),bind(Z,$fot(double_divide(identity,inverse(C))))]]) ).

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

cnf(refute_0_253,plain,
    double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))) = double_divide(identity,inverse(C)),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(C,double_divide(identity,inverse(inverse(identity))))),double_divide(identity,inverse(C))) )],[refute_0_235,refute_0_252]) ).

cnf(refute_0_254,plain,
    ( double_divide(identity,inverse(C)) != C
    | double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))) != double_divide(identity,inverse(C))
    | double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))) = C ),
    inference(subst,[],[refute_0_95:[bind(X,$fot(double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))),bind(Y,$fot(double_divide(identity,inverse(C)))),bind(Z,$fot(C))]]) ).

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

cnf(refute_0_256,plain,
    double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))) = C,
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(C)),C) )],[refute_0_223,refute_0_255]) ).

cnf(refute_0_257,plain,
    double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity)))))) = double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity)))))),
    introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity)))))))]]) ).

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

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

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

cnf(refute_0_261,plain,
    double_divide(inverse(identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))) = double_divide(inverse(identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))),
    introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))))]]) ).

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

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

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

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

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

cnf(refute_0_267,plain,
    double_divide(inverse(identity),double_divide(identity,C)) = C,
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,double_divide(inverse(inverse(identity)),double_divide(C,double_divide(identity,inverse(inverse(identity))))))),C) )],[refute_0_222,refute_0_266]) ).

cnf(refute_0_268,plain,
    double_divide(inverse(identity),double_divide(identity,C)) = double_divide(inverse(identity),double_divide(identity,C)),
    introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(identity,C)))]]) ).

cnf(refute_0_269,plain,
    ( double_divide(inverse(identity),double_divide(identity,C)) != double_divide(inverse(identity),double_divide(identity,C))
    | inverse(identity) != identity
    | double_divide(inverse(identity),double_divide(identity,C)) = double_divide(identity,double_divide(identity,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,C)),double_divide(inverse(identity),double_divide(identity,C))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_270,plain,
    ( inverse(identity) != identity
    | double_divide(inverse(identity),double_divide(identity,C)) = double_divide(identity,double_divide(identity,C)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,C)),double_divide(inverse(identity),double_divide(identity,C))) )],[refute_0_268,refute_0_269]) ).

cnf(refute_0_271,plain,
    double_divide(inverse(identity),double_divide(identity,C)) = double_divide(identity,double_divide(identity,C)),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_196,refute_0_270]) ).

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

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

cnf(refute_0_274,plain,
    double_divide(identity,double_divide(identity,C)) = C,
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,C)),C) )],[refute_0_267,refute_0_273]) ).

cnf(refute_0_275,plain,
    double_divide(identity,double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))) = inverse(multiply(inverse(X_14),inverse(identity))),
    inference(subst,[],[refute_0_274:[bind(C,$fot(inverse(multiply(inverse(X_14),inverse(identity)))))]]) ).

cnf(refute_0_276,plain,
    ( double_divide(identity,double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))) != inverse(multiply(inverse(X_14),inverse(identity)))
    | inverse(multiply(inverse(X_14),inverse(identity))) != inverse(inverse(X_14))
    | double_divide(identity,double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))) = inverse(inverse(X_14)) ),
    inference(subst,[],[refute_0_95:[bind(X,$fot(double_divide(identity,double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))))),bind(Y,$fot(inverse(multiply(inverse(X_14),inverse(identity))))),bind(Z,$fot(inverse(inverse(X_14))))]]) ).

cnf(refute_0_277,plain,
    ( inverse(multiply(inverse(X_14),inverse(identity))) != inverse(inverse(X_14))
    | double_divide(identity,double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))) = inverse(inverse(X_14)) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))),inverse(multiply(inverse(X_14),inverse(identity)))) )],[refute_0_275,refute_0_276]) ).

cnf(refute_0_278,plain,
    double_divide(identity,double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))) = inverse(inverse(X_14)),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_14),inverse(identity))),inverse(inverse(X_14))) )],[refute_0_207,refute_0_277]) ).

cnf(refute_0_279,plain,
    ( double_divide(identity,double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))) != X_14
    | double_divide(identity,double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))) != inverse(inverse(X_14))
    | inverse(inverse(X_14)) = X_14 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))),X_14) ),[0],$fot(inverse(inverse(X_14)))]]) ).

cnf(refute_0_280,plain,
    ( double_divide(identity,double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))) != X_14
    | inverse(inverse(X_14)) = X_14 ),
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))),inverse(inverse(X_14))) )],[refute_0_278,refute_0_279]) ).

cnf(refute_0_281,plain,
    inverse(inverse(X_14)) = X_14,
    inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(multiply(inverse(X_14),inverse(identity))))),X_14) )],[refute_0_79,refute_0_280]) ).

cnf(refute_0_282,plain,
    inverse(inverse(a2)) = a2,
    inference(subst,[],[refute_0_281:[bind(X_14,$fot(a2))]]) ).

cnf(refute_0_283,plain,
    ( a2 != a2
    | inverse(inverse(a2)) != a2
    | inverse(inverse(a2)) = a2 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(a2)),a2) ),[0,0,0],$fot(a2)]]) ).

cnf(refute_0_284,plain,
    ( a2 != a2
    | inverse(inverse(a2)) = a2 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(a2)),a2) )],[refute_0_282,refute_0_283]) ).

cnf(refute_0_285,plain,
    a2 != a2,
    inference(resolve,[$cnf( $equal(inverse(inverse(a2)),a2) )],[refute_0_284,refute_0_19]) ).

cnf(refute_0_286,plain,
    a2 = a2,
    introduced(tautology,[refl,[$fot(a2)]]) ).

cnf(refute_0_287,plain,
    $false,
    inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_286,refute_0_285]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP491-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n016.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 13 15:14:14 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.36  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36  
% 0.12/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.44  
%------------------------------------------------------------------------------