%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP485-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 10:41:39 EDT 2022

% Result   : Unsatisfiable 0.19s 0.43s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   66
%            Number of leaves      :  104
% Syntax   : Number of clauses     :  389 ( 198 unt;   0 nHn; 214 RR)
%            Number of literals    :  666 ( 665 equ; 280 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  684 (   0 sgn)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

cnf(refute_0_25,plain,
    double_divide(B,identity) = inverse(B),
    inference(subst,[],[refute_0_4:[bind(A,$fot(B))]]) ).

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

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

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

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

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

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

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

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

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

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

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

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

cnf(refute_0_38,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_39,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_38]) ).

cnf(refute_0_40,plain,
    ( double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),inverse(B))),double_divide(identity,identity))
    | double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),inverse(B))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),inverse(B))),inverse(identity))
    | double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),inverse(B))),inverse(identity)) ),
    inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)))),bind(Y,$fot(double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),inverse(B))),double_divide(identity,identity)))),bind(Z,$fot(double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),inverse(B))),inverse(identity))))]]) ).

cnf(refute_0_41,plain,
    ( double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),inverse(B))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),inverse(B))),inverse(identity))
    | double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),inverse(B))),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),inverse(B))),double_divide(identity,identity))) )],[refute_0_37,refute_0_40]) ).

cnf(refute_0_42,plain,
    double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),inverse(B))),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),inverse(B))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),inverse(B))),inverse(identity))) )],[refute_0_24,refute_0_41]) ).

cnf(refute_0_43,plain,
    ( double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)) != C
    | double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),inverse(B))),inverse(identity))
    | double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),inverse(B))),inverse(identity)) = C ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)),C) ),[0],$fot(double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),inverse(B))),inverse(identity)))]]) ).

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

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

cnf(refute_0_46,plain,
    double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),X_12),inverse(multiply(X_2,X_3)))),inverse(identity)) = X_12,
    inference(subst,[],[refute_0_45:[bind(A,$fot(double_divide(X_3,X_2))),bind(B,$fot(multiply(X_2,X_3))),bind(C,$fot(X_12))]]) ).

cnf(refute_0_47,plain,
    identity = double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2))),
    inference(subst,[],[identity:[bind(A,$fot(double_divide(X_3,X_2)))]]) ).

cnf(refute_0_48,plain,
    multiply(X_2,X_3) = inverse(double_divide(X_3,X_2)),
    inference(subst,[],[refute_0_8:[bind(A,$fot(X_2)),bind(B,$fot(X_3))]]) ).

cnf(refute_0_49,plain,
    ( multiply(X_2,X_3) != inverse(double_divide(X_3,X_2))
    | inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_2,X_3))),bind(Y,$fot(inverse(double_divide(X_3,X_2))))]]) ).

cnf(refute_0_50,plain,
    inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3),
    inference(resolve,[$cnf( $equal(multiply(X_2,X_3),inverse(double_divide(X_3,X_2))) )],[refute_0_48,refute_0_49]) ).

cnf(refute_0_51,plain,
    ( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
    | inverse(double_divide(X_3,X_2)) != multiply(X_2,X_3)
    | identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
    introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) ),[1,1],$fot(multiply(X_2,X_3))]]) ).

cnf(refute_0_52,plain,
    ( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
    | identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_3,X_2)),multiply(X_2,X_3)) )],[refute_0_50,refute_0_51]) ).

cnf(refute_0_53,plain,
    identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),
    inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) )],[refute_0_47,refute_0_52]) ).

cnf(refute_0_54,plain,
    ( identity != double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))
    | double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))]]) ).

cnf(refute_0_55,plain,
    double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))) )],[refute_0_53,refute_0_54]) ).

cnf(refute_0_56,plain,
    ( double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) != identity
    | double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),X_12),inverse(multiply(X_2,X_3)))),inverse(identity)) != X_12
    | double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),X_12),inverse(multiply(X_2,X_3)))),inverse(identity)),X_12) ),[0,0,1,0,0],$fot(identity)]]) ).

cnf(refute_0_57,plain,
    ( double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),X_12),inverse(multiply(X_2,X_3)))),inverse(identity)) != X_12
    | double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),identity) )],[refute_0_55,refute_0_56]) ).

cnf(refute_0_58,plain,
    double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),X_12),inverse(multiply(X_2,X_3)))),inverse(identity)),X_12) )],[refute_0_46,refute_0_57]) ).

cnf(refute_0_59,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_60,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_59]) ).

cnf(refute_0_61,plain,
    inverse(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))))) = multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),
    inference(subst,[],[refute_0_60:[bind(A,$fot(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))))),bind(B,$fot(double_divide(X_3,X_2)))]]) ).

cnf(refute_0_62,plain,
    double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),identity) = inverse(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))))),
    inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))))))]]) ).

cnf(refute_0_63,plain,
    ( double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),identity) != inverse(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))))
    | inverse(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))))) != multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))
    | double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),identity) = multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) ),
    inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),identity))),bind(Y,$fot(inverse(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))))))),bind(Z,$fot(multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))))]]) ).

cnf(refute_0_64,plain,
    ( inverse(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))))) != multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))
    | double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),identity) = multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),identity),inverse(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))))) )],[refute_0_62,refute_0_63]) ).

cnf(refute_0_65,plain,
    double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),identity) = multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))))),multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))) )],[refute_0_61,refute_0_64]) ).

cnf(refute_0_66,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,B),inverse(identity)),inverse(B))),inverse(identity)) = inverse(identity),
    inference(subst,[],[refute_0_45:[bind(A,$fot(identity)),bind(C,$fot(inverse(identity)))]]) ).

cnf(refute_0_67,plain,
    double_divide(double_divide(A,double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11))),inverse(identity))),inverse(identity)) = double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11)),
    inference(subst,[],[refute_0_45:[bind(B,$fot(identity)),bind(C,$fot(double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11))))]]) ).

cnf(refute_0_68,plain,
    double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11))),inverse(identity)) = X_12,
    inference(subst,[],[refute_0_45:[bind(A,$fot(double_divide(A,identity))),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).

cnf(refute_0_69,plain,
    ( double_divide(double_divide(A,double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11))),inverse(identity))),inverse(identity)) != double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11))
    | double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11))),inverse(identity)) != X_12
    | double_divide(double_divide(A,X_12),inverse(identity)) = double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11))),inverse(identity))),inverse(identity)),double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11))) ),[0,0,1],$fot(X_12)]]) ).

cnf(refute_0_70,plain,
    ( double_divide(double_divide(A,double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11))),inverse(identity))),inverse(identity)) != double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11))
    | double_divide(double_divide(A,X_12),inverse(identity)) = double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11))),inverse(identity)),X_12) )],[refute_0_68,refute_0_69]) ).

cnf(refute_0_71,plain,
    double_divide(double_divide(A,X_12),inverse(identity)) = double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11))),inverse(identity))),inverse(identity)),double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11))) )],[refute_0_67,refute_0_70]) ).

cnf(refute_0_72,plain,
    double_divide(double_divide(A,identity),X_11) = double_divide(double_divide(A,identity),X_11),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(A,identity),X_11))]]) ).

cnf(refute_0_73,plain,
    ( double_divide(A,identity) != inverse(A)
    | double_divide(double_divide(A,identity),X_11) != double_divide(double_divide(A,identity),X_11)
    | double_divide(double_divide(A,identity),X_11) = double_divide(inverse(A),X_11) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,identity),X_11),double_divide(double_divide(A,identity),X_11)) ),[1,0],$fot(inverse(A))]]) ).

cnf(refute_0_74,plain,
    ( double_divide(A,identity) != inverse(A)
    | double_divide(double_divide(A,identity),X_11) = double_divide(inverse(A),X_11) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,identity),X_11),double_divide(double_divide(A,identity),X_11)) )],[refute_0_72,refute_0_73]) ).

cnf(refute_0_75,plain,
    double_divide(double_divide(A,identity),X_11) = double_divide(inverse(A),X_11),
    inference(resolve,[$cnf( $equal(double_divide(A,identity),inverse(A)) )],[refute_0_4,refute_0_74]) ).

cnf(refute_0_76,plain,
    double_divide(double_divide(double_divide(A,identity),X_11),X_12) = double_divide(double_divide(double_divide(A,identity),X_11),X_12),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(A,identity),X_11),X_12))]]) ).

cnf(refute_0_77,plain,
    ( double_divide(double_divide(A,identity),X_11) != double_divide(inverse(A),X_11)
    | double_divide(double_divide(double_divide(A,identity),X_11),X_12) != double_divide(double_divide(double_divide(A,identity),X_11),X_12)
    | double_divide(double_divide(double_divide(A,identity),X_11),X_12) = double_divide(double_divide(inverse(A),X_11),X_12) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(A,identity),X_11),X_12),double_divide(double_divide(double_divide(A,identity),X_11),X_12)) ),[1,0],$fot(double_divide(inverse(A),X_11))]]) ).

cnf(refute_0_78,plain,
    ( double_divide(double_divide(A,identity),X_11) != double_divide(inverse(A),X_11)
    | double_divide(double_divide(double_divide(A,identity),X_11),X_12) = double_divide(double_divide(inverse(A),X_11),X_12) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(A,identity),X_11),X_12),double_divide(double_divide(double_divide(A,identity),X_11),X_12)) )],[refute_0_76,refute_0_77]) ).

cnf(refute_0_79,plain,
    double_divide(double_divide(double_divide(A,identity),X_11),X_12) = double_divide(double_divide(inverse(A),X_11),X_12),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,identity),X_11),double_divide(inverse(A),X_11)) )],[refute_0_75,refute_0_78]) ).

cnf(refute_0_80,plain,
    double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11)) = double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11)))]]) ).

cnf(refute_0_81,plain,
    ( double_divide(double_divide(double_divide(A,identity),X_11),X_12) != double_divide(double_divide(inverse(A),X_11),X_12)
    | double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11)) != double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11))
    | double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11)) = double_divide(double_divide(double_divide(inverse(A),X_11),X_12),inverse(X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11)),double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11))) ),[1,0],$fot(double_divide(double_divide(inverse(A),X_11),X_12))]]) ).

cnf(refute_0_82,plain,
    ( double_divide(double_divide(double_divide(A,identity),X_11),X_12) != double_divide(double_divide(inverse(A),X_11),X_12)
    | double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11)) = double_divide(double_divide(double_divide(inverse(A),X_11),X_12),inverse(X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11)),double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11))) )],[refute_0_80,refute_0_81]) ).

cnf(refute_0_83,plain,
    double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11)) = double_divide(double_divide(double_divide(inverse(A),X_11),X_12),inverse(X_11)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(A,identity),X_11),X_12),double_divide(double_divide(inverse(A),X_11),X_12)) )],[refute_0_79,refute_0_82]) ).

cnf(refute_0_84,plain,
    ( double_divide(double_divide(A,X_12),inverse(identity)) != double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11))
    | double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11)) != double_divide(double_divide(double_divide(inverse(A),X_11),X_12),inverse(X_11))
    | double_divide(double_divide(A,X_12),inverse(identity)) = double_divide(double_divide(double_divide(inverse(A),X_11),X_12),inverse(X_11)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(double_divide(A,X_12),inverse(identity)),double_divide(double_divide(double_divide(inverse(A),X_11),X_12),inverse(X_11))) ),[0],$fot(double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11)))]]) ).

cnf(refute_0_85,plain,
    ( double_divide(double_divide(A,X_12),inverse(identity)) != double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11))
    | double_divide(double_divide(A,X_12),inverse(identity)) = double_divide(double_divide(double_divide(inverse(A),X_11),X_12),inverse(X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11)),double_divide(double_divide(double_divide(inverse(A),X_11),X_12),inverse(X_11))) )],[refute_0_83,refute_0_84]) ).

cnf(refute_0_86,plain,
    double_divide(double_divide(A,X_12),inverse(identity)) = double_divide(double_divide(double_divide(inverse(A),X_11),X_12),inverse(X_11)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,X_12),inverse(identity)),double_divide(double_divide(double_divide(double_divide(A,identity),X_11),X_12),inverse(X_11))) )],[refute_0_71,refute_0_85]) ).

cnf(refute_0_87,plain,
    double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = double_divide(double_divide(double_divide(inverse(identity),X_11),inverse(identity)),inverse(X_11)),
    inference(subst,[],[refute_0_86:[bind(A,$fot(identity)),bind(X_12,$fot(inverse(identity)))]]) ).

cnf(refute_0_88,plain,
    double_divide(double_divide(inverse(identity),X_28),inverse(identity)) = double_divide(double_divide(double_divide(inverse(inverse(identity)),X_27),X_28),inverse(X_27)),
    inference(subst,[],[refute_0_86:[bind(A,$fot(inverse(identity))),bind(X_11,$fot(X_27)),bind(X_12,$fot(X_28))]]) ).

cnf(refute_0_89,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_10,identity),X_12),inverse(identity))),inverse(identity)) = X_12,
    inference(subst,[],[refute_0_45:[bind(A,$fot(X_10)),bind(B,$fot(identity)),bind(C,$fot(X_12))]]) ).

cnf(refute_0_90,plain,
    inverse(X_10) = double_divide(X_10,identity),
    inference(subst,[],[inverse:[bind(A,$fot(X_10))]]) ).

cnf(refute_0_91,plain,
    ( inverse(X_10) != double_divide(X_10,identity)
    | double_divide(X_10,identity) = inverse(X_10) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_10))),bind(Y,$fot(double_divide(X_10,identity)))]]) ).

cnf(refute_0_92,plain,
    double_divide(X_10,identity) = inverse(X_10),
    inference(resolve,[$cnf( $equal(inverse(X_10),double_divide(X_10,identity)) )],[refute_0_90,refute_0_91]) ).

cnf(refute_0_93,plain,
    ( double_divide(X_10,identity) != inverse(X_10)
    | double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_10,identity),X_12),inverse(identity))),inverse(identity)) != X_12
    | double_divide(double_divide(X_10,double_divide(double_divide(inverse(X_10),X_12),inverse(identity))),inverse(identity)) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_10,identity),X_12),inverse(identity))),inverse(identity)),X_12) ),[0,0,1,0,0],$fot(inverse(X_10))]]) ).

cnf(refute_0_94,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_10,identity),X_12),inverse(identity))),inverse(identity)) != X_12
    | double_divide(double_divide(X_10,double_divide(double_divide(inverse(X_10),X_12),inverse(identity))),inverse(identity)) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,identity),inverse(X_10)) )],[refute_0_92,refute_0_93]) ).

cnf(refute_0_95,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(inverse(X_10),X_12),inverse(identity))),inverse(identity)) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_10,identity),X_12),inverse(identity))),inverse(identity)),X_12) )],[refute_0_89,refute_0_94]) ).

cnf(refute_0_96,plain,
    double_divide(double_divide(identity,double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity))),inverse(identity)) = inverse(identity),
    inference(subst,[],[refute_0_95:[bind(X_10,$fot(identity)),bind(X_12,$fot(inverse(identity)))]]) ).

cnf(refute_0_97,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_10,X_11),identity),inverse(X_11))),inverse(identity)) = identity,
    inference(subst,[],[refute_0_45:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(identity))]]) ).

cnf(refute_0_98,plain,
    inverse(double_divide(X_10,X_11)) = double_divide(double_divide(X_10,X_11),identity),
    inference(subst,[],[inverse:[bind(A,$fot(double_divide(X_10,X_11)))]]) ).

cnf(refute_0_99,plain,
    ( inverse(double_divide(X_10,X_11)) != double_divide(double_divide(X_10,X_11),identity)
    | double_divide(double_divide(X_10,X_11),identity) = inverse(double_divide(X_10,X_11)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(double_divide(X_10,X_11)))),bind(Y,$fot(double_divide(double_divide(X_10,X_11),identity)))]]) ).

cnf(refute_0_100,plain,
    double_divide(double_divide(X_10,X_11),identity) = inverse(double_divide(X_10,X_11)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,X_11)),double_divide(double_divide(X_10,X_11),identity)) )],[refute_0_98,refute_0_99]) ).

cnf(refute_0_101,plain,
    ( double_divide(double_divide(X_10,X_11),identity) != inverse(double_divide(X_10,X_11))
    | double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_10,X_11),identity),inverse(X_11))),inverse(identity)) != identity
    | double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity)) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_10,X_11),identity),inverse(X_11))),inverse(identity)),identity) ),[0,0,1,0],$fot(inverse(double_divide(X_10,X_11)))]]) ).

cnf(refute_0_102,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_10,X_11),identity),inverse(X_11))),inverse(identity)) != identity
    | double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity)) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,X_11),identity),inverse(double_divide(X_10,X_11))) )],[refute_0_100,refute_0_101]) ).

cnf(refute_0_103,plain,
    double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_10,X_11),identity),inverse(X_11))),inverse(identity)),identity) )],[refute_0_97,refute_0_102]) ).

cnf(refute_0_104,plain,
    inverse(double_divide(X_10,X_11)) = multiply(X_11,X_10),
    inference(subst,[],[refute_0_60:[bind(A,$fot(X_11)),bind(B,$fot(X_10))]]) ).

cnf(refute_0_105,plain,
    double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11)) = double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11)),
    introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11)))]]) ).

cnf(refute_0_106,plain,
    ( double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11)) != double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))
    | inverse(double_divide(X_10,X_11)) != multiply(X_11,X_10)
    | double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11)) = double_divide(multiply(X_11,X_10),inverse(X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11)),double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))) ),[1,0],$fot(multiply(X_11,X_10))]]) ).

cnf(refute_0_107,plain,
    ( inverse(double_divide(X_10,X_11)) != multiply(X_11,X_10)
    | double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11)) = double_divide(multiply(X_11,X_10),inverse(X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11)),double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))) )],[refute_0_105,refute_0_106]) ).

cnf(refute_0_108,plain,
    double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11)) = double_divide(multiply(X_11,X_10),inverse(X_11)),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,X_11)),multiply(X_11,X_10)) )],[refute_0_104,refute_0_107]) ).

cnf(refute_0_109,plain,
    double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))) = double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),
    introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))))]]) ).

cnf(refute_0_110,plain,
    ( double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))) != double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11)))
    | double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11)) != double_divide(multiply(X_11,X_10),inverse(X_11))
    | double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))) = double_divide(X_10,double_divide(multiply(X_11,X_10),inverse(X_11))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11)))) ),[1,1],$fot(double_divide(multiply(X_11,X_10),inverse(X_11)))]]) ).

cnf(refute_0_111,plain,
    ( double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11)) != double_divide(multiply(X_11,X_10),inverse(X_11))
    | double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))) = double_divide(X_10,double_divide(multiply(X_11,X_10),inverse(X_11))) ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11)))) )],[refute_0_109,refute_0_110]) ).

cnf(refute_0_112,plain,
    double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))) = double_divide(X_10,double_divide(multiply(X_11,X_10),inverse(X_11))),
    inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11)),double_divide(multiply(X_11,X_10),inverse(X_11))) )],[refute_0_108,refute_0_111]) ).

cnf(refute_0_113,plain,
    double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity)))]]) ).

cnf(refute_0_114,plain,
    ( double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))) != double_divide(X_10,double_divide(multiply(X_11,X_10),inverse(X_11)))
    | double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity))
    | double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(multiply(X_11,X_10),inverse(X_11))),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity)),double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity))) ),[1,0],$fot(double_divide(X_10,double_divide(multiply(X_11,X_10),inverse(X_11))))]]) ).

cnf(refute_0_115,plain,
    ( double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))) != double_divide(X_10,double_divide(multiply(X_11,X_10),inverse(X_11)))
    | double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(multiply(X_11,X_10),inverse(X_11))),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity)),double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity))) )],[refute_0_113,refute_0_114]) ).

cnf(refute_0_116,plain,
    double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(multiply(X_11,X_10),inverse(X_11))),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),double_divide(X_10,double_divide(multiply(X_11,X_10),inverse(X_11)))) )],[refute_0_112,refute_0_115]) ).

cnf(refute_0_117,plain,
    ( double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(multiply(X_11,X_10),inverse(X_11))),inverse(identity))
    | double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity)) != identity
    | double_divide(double_divide(X_10,double_divide(multiply(X_11,X_10),inverse(X_11))),inverse(identity)) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity)),identity) ),[0],$fot(double_divide(double_divide(X_10,double_divide(multiply(X_11,X_10),inverse(X_11))),inverse(identity)))]]) ).

cnf(refute_0_118,plain,
    ( double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity)) != identity
    | double_divide(double_divide(X_10,double_divide(multiply(X_11,X_10),inverse(X_11))),inverse(identity)) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity)),double_divide(double_divide(X_10,double_divide(multiply(X_11,X_10),inverse(X_11))),inverse(identity))) )],[refute_0_116,refute_0_117]) ).

cnf(refute_0_119,plain,
    double_divide(double_divide(X_10,double_divide(multiply(X_11,X_10),inverse(X_11))),inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_10,X_11)),inverse(X_11))),inverse(identity)),identity) )],[refute_0_103,refute_0_118]) ).

cnf(refute_0_120,plain,
    double_divide(double_divide(X_13,double_divide(multiply(inverse(X_13),X_13),inverse(inverse(X_13)))),inverse(identity)) = identity,
    inference(subst,[],[refute_0_119:[bind(X_10,$fot(X_13)),bind(X_11,$fot(inverse(X_13)))]]) ).

cnf(refute_0_121,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_122,plain,
    identity = double_divide(X_3,inverse(X_3)),
    inference(subst,[],[identity:[bind(A,$fot(X_3))]]) ).

cnf(refute_0_123,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_124,plain,
    double_divide(X_3,inverse(X_3)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_3,inverse(X_3))) )],[refute_0_122,refute_0_123]) ).

cnf(refute_0_125,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_126,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_124,refute_0_125]) ).

cnf(refute_0_127,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_121,refute_0_126]) ).

cnf(refute_0_128,plain,
    multiply(inverse(X_13),X_13) = inverse(identity),
    inference(subst,[],[refute_0_127:[bind(X_3,$fot(X_13))]]) ).

cnf(refute_0_129,plain,
    ( multiply(inverse(X_13),X_13) != inverse(identity)
    | double_divide(double_divide(X_13,double_divide(multiply(inverse(X_13),X_13),inverse(inverse(X_13)))),inverse(identity)) != identity
    | double_divide(double_divide(X_13,double_divide(inverse(identity),inverse(inverse(X_13)))),inverse(identity)) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(multiply(inverse(X_13),X_13),inverse(inverse(X_13)))),inverse(identity)),identity) ),[0,0,1,0],$fot(inverse(identity))]]) ).

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

cnf(refute_0_131,plain,
    double_divide(double_divide(X_13,double_divide(inverse(identity),inverse(inverse(X_13)))),inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(multiply(inverse(X_13),X_13),inverse(inverse(X_13)))),inverse(identity)),identity) )],[refute_0_120,refute_0_130]) ).

cnf(refute_0_132,plain,
    double_divide(double_divide(identity,double_divide(inverse(identity),inverse(inverse(identity)))),inverse(identity)) = identity,
    inference(subst,[],[refute_0_131:[bind(X_13,$fot(identity))]]) ).

cnf(refute_0_133,plain,
    identity = double_divide(inverse(identity),inverse(inverse(identity))),
    inference(subst,[],[identity:[bind(A,$fot(inverse(identity)))]]) ).

cnf(refute_0_134,plain,
    ( identity != double_divide(inverse(identity),inverse(inverse(identity)))
    | double_divide(inverse(identity),inverse(inverse(identity))) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(inverse(identity),inverse(inverse(identity)))))]]) ).

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

cnf(refute_0_136,plain,
    ( double_divide(double_divide(identity,double_divide(inverse(identity),inverse(inverse(identity)))),inverse(identity)) != identity
    | double_divide(inverse(identity),inverse(inverse(identity))) != identity
    | double_divide(double_divide(identity,identity),inverse(identity)) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),inverse(inverse(identity)))),inverse(identity)),identity) ),[0,0,1],$fot(identity)]]) ).

cnf(refute_0_137,plain,
    ( double_divide(double_divide(identity,double_divide(inverse(identity),inverse(inverse(identity)))),inverse(identity)) != identity
    | double_divide(double_divide(identity,identity),inverse(identity)) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(inverse(identity))),identity) )],[refute_0_135,refute_0_136]) ).

cnf(refute_0_138,plain,
    double_divide(double_divide(identity,identity),inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),inverse(inverse(identity)))),inverse(identity)),identity) )],[refute_0_132,refute_0_137]) ).

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

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

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

cnf(refute_0_142,plain,
    double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(inverse(identity),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_20,refute_0_141]) ).

cnf(refute_0_143,plain,
    ( double_divide(double_divide(identity,identity),inverse(identity)) != double_divide(inverse(identity),inverse(identity))
    | double_divide(double_divide(identity,identity),inverse(identity)) != identity
    | double_divide(inverse(identity),inverse(identity)) = identity ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),identity) ),[0],$fot(double_divide(inverse(identity),inverse(identity)))]]) ).

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

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

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

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

cnf(refute_0_148,plain,
    double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity))),inverse(identity)),inverse(identity)) )],[refute_0_96,refute_0_147]) ).

cnf(refute_0_149,plain,
    multiply(identity,identity) = inverse(inverse(identity)),
    inference(subst,[],[refute_0_15:[bind(X_3,$fot(identity))]]) ).

cnf(refute_0_150,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_10,X_11),inverse(double_divide(X_10,X_11))),inverse(X_11))),inverse(identity)) = inverse(double_divide(X_10,X_11)),
    inference(subst,[],[refute_0_45:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(inverse(double_divide(X_10,X_11))))]]) ).

cnf(refute_0_151,plain,
    identity = double_divide(double_divide(X_10,X_11),inverse(double_divide(X_10,X_11))),
    inference(subst,[],[identity:[bind(A,$fot(double_divide(X_10,X_11)))]]) ).

cnf(refute_0_152,plain,
    ( identity != double_divide(double_divide(X_10,X_11),inverse(double_divide(X_10,X_11)))
    | double_divide(double_divide(X_10,X_11),inverse(double_divide(X_10,X_11))) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(double_divide(X_10,X_11),inverse(double_divide(X_10,X_11)))))]]) ).

cnf(refute_0_153,plain,
    double_divide(double_divide(X_10,X_11),inverse(double_divide(X_10,X_11))) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_10,X_11),inverse(double_divide(X_10,X_11)))) )],[refute_0_151,refute_0_152]) ).

cnf(refute_0_154,plain,
    ( double_divide(double_divide(X_10,X_11),inverse(double_divide(X_10,X_11))) != identity
    | double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_10,X_11),inverse(double_divide(X_10,X_11))),inverse(X_11))),inverse(identity)) != inverse(double_divide(X_10,X_11))
    | double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = inverse(double_divide(X_10,X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_10,X_11),inverse(double_divide(X_10,X_11))),inverse(X_11))),inverse(identity)),inverse(double_divide(X_10,X_11))) ),[0,0,1,0],$fot(identity)]]) ).

cnf(refute_0_155,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_10,X_11),inverse(double_divide(X_10,X_11))),inverse(X_11))),inverse(identity)) != inverse(double_divide(X_10,X_11))
    | double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = inverse(double_divide(X_10,X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,X_11),inverse(double_divide(X_10,X_11))),identity) )],[refute_0_153,refute_0_154]) ).

cnf(refute_0_156,plain,
    double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = inverse(double_divide(X_10,X_11)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_10,X_11),inverse(double_divide(X_10,X_11))),inverse(X_11))),inverse(identity)),inverse(double_divide(X_10,X_11))) )],[refute_0_150,refute_0_155]) ).

cnf(refute_0_157,plain,
    ( double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) != inverse(double_divide(X_10,X_11))
    | inverse(double_divide(X_10,X_11)) != multiply(X_11,X_10)
    | double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = multiply(X_11,X_10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)),multiply(X_11,X_10)) ),[0],$fot(inverse(double_divide(X_10,X_11)))]]) ).

cnf(refute_0_158,plain,
    ( double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) != inverse(double_divide(X_10,X_11))
    | double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = multiply(X_11,X_10) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,X_11)),multiply(X_11,X_10)) )],[refute_0_104,refute_0_157]) ).

cnf(refute_0_159,plain,
    double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = multiply(X_11,X_10),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)),inverse(double_divide(X_10,X_11))) )],[refute_0_156,refute_0_158]) ).

cnf(refute_0_160,plain,
    double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) = multiply(identity,identity),
    inference(subst,[],[refute_0_159:[bind(X_10,$fot(identity)),bind(X_11,$fot(identity))]]) ).

cnf(refute_0_161,plain,
    ( multiply(identity,identity) != inverse(inverse(identity))
    | double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) != multiply(identity,identity)
    | double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) = inverse(inverse(identity)) ),
    inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)))),bind(Y,$fot(multiply(identity,identity))),bind(Z,$fot(inverse(inverse(identity))))]]) ).

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

cnf(refute_0_163,plain,
    double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) = inverse(inverse(identity)),
    inference(resolve,[$cnf( $equal(multiply(identity,identity),inverse(inverse(identity))) )],[refute_0_149,refute_0_162]) ).

cnf(refute_0_164,plain,
    ( double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) != inverse(identity)
    | double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) != inverse(inverse(identity))
    | inverse(inverse(identity)) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),inverse(identity)) ),[0],$fot(inverse(inverse(identity)))]]) ).

cnf(refute_0_165,plain,
    ( double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) != inverse(identity)
    | inverse(inverse(identity)) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),inverse(inverse(identity))) )],[refute_0_163,refute_0_164]) ).

cnf(refute_0_166,plain,
    inverse(inverse(identity)) = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),inverse(identity)) )],[refute_0_148,refute_0_165]) ).

cnf(refute_0_167,plain,
    ( double_divide(double_divide(inverse(identity),X_28),inverse(identity)) != double_divide(double_divide(double_divide(inverse(inverse(identity)),X_27),X_28),inverse(X_27))
    | inverse(inverse(identity)) != inverse(identity)
    | double_divide(double_divide(inverse(identity),X_28),inverse(identity)) = double_divide(double_divide(double_divide(inverse(identity),X_27),X_28),inverse(X_27)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),X_28),inverse(identity)),double_divide(double_divide(double_divide(inverse(inverse(identity)),X_27),X_28),inverse(X_27))) ),[1,0,0,0],$fot(inverse(identity))]]) ).

cnf(refute_0_168,plain,
    ( double_divide(double_divide(inverse(identity),X_28),inverse(identity)) != double_divide(double_divide(double_divide(inverse(inverse(identity)),X_27),X_28),inverse(X_27))
    | double_divide(double_divide(inverse(identity),X_28),inverse(identity)) = double_divide(double_divide(double_divide(inverse(identity),X_27),X_28),inverse(X_27)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(identity)) )],[refute_0_166,refute_0_167]) ).

cnf(refute_0_169,plain,
    double_divide(double_divide(inverse(identity),X_28),inverse(identity)) = double_divide(double_divide(double_divide(inverse(identity),X_27),X_28),inverse(X_27)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),X_28),inverse(identity)),double_divide(double_divide(double_divide(inverse(inverse(identity)),X_27),X_28),inverse(X_27))) )],[refute_0_88,refute_0_168]) ).

cnf(refute_0_170,plain,
    ( double_divide(double_divide(A,X_12),inverse(identity)) != double_divide(double_divide(double_divide(inverse(A),X_11),X_12),inverse(X_11))
    | double_divide(double_divide(double_divide(inverse(A),X_11),X_12),inverse(X_11)) = double_divide(double_divide(A,X_12),inverse(identity)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(double_divide(A,X_12),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(double_divide(inverse(A),X_11),X_12),inverse(X_11))))]]) ).

cnf(refute_0_171,plain,
    double_divide(double_divide(double_divide(inverse(A),X_11),X_12),inverse(X_11)) = double_divide(double_divide(A,X_12),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,X_12),inverse(identity)),double_divide(double_divide(double_divide(inverse(A),X_11),X_12),inverse(X_11))) )],[refute_0_86,refute_0_170]) ).

cnf(refute_0_172,plain,
    double_divide(double_divide(double_divide(inverse(identity),X_27),X_28),inverse(X_27)) = double_divide(double_divide(identity,X_28),inverse(identity)),
    inference(subst,[],[refute_0_171:[bind(A,$fot(identity)),bind(X_11,$fot(X_27)),bind(X_12,$fot(X_28))]]) ).

cnf(refute_0_173,plain,
    ( double_divide(double_divide(double_divide(inverse(identity),X_27),X_28),inverse(X_27)) != double_divide(double_divide(identity,X_28),inverse(identity))
    | double_divide(double_divide(inverse(identity),X_28),inverse(identity)) != double_divide(double_divide(double_divide(inverse(identity),X_27),X_28),inverse(X_27))
    | double_divide(double_divide(inverse(identity),X_28),inverse(identity)) = double_divide(double_divide(identity,X_28),inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),X_28),inverse(identity)),double_divide(double_divide(double_divide(inverse(identity),X_27),X_28),inverse(X_27))) ),[1],$fot(double_divide(double_divide(identity,X_28),inverse(identity)))]]) ).

cnf(refute_0_174,plain,
    ( double_divide(double_divide(inverse(identity),X_28),inverse(identity)) != double_divide(double_divide(double_divide(inverse(identity),X_27),X_28),inverse(X_27))
    | double_divide(double_divide(inverse(identity),X_28),inverse(identity)) = double_divide(double_divide(identity,X_28),inverse(identity)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(identity),X_27),X_28),inverse(X_27)),double_divide(double_divide(identity,X_28),inverse(identity))) )],[refute_0_172,refute_0_173]) ).

cnf(refute_0_175,plain,
    double_divide(double_divide(inverse(identity),X_28),inverse(identity)) = double_divide(double_divide(identity,X_28),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),X_28),inverse(identity)),double_divide(double_divide(double_divide(inverse(identity),X_27),X_28),inverse(X_27))) )],[refute_0_169,refute_0_174]) ).

cnf(refute_0_176,plain,
    double_divide(double_divide(inverse(identity),X_11),inverse(identity)) = double_divide(double_divide(identity,X_11),inverse(identity)),
    inference(subst,[],[refute_0_175:[bind(X_28,$fot(X_11))]]) ).

cnf(refute_0_177,plain,
    ( double_divide(double_divide(identity,inverse(identity)),inverse(identity)) != double_divide(double_divide(double_divide(inverse(identity),X_11),inverse(identity)),inverse(X_11))
    | double_divide(double_divide(inverse(identity),X_11),inverse(identity)) != double_divide(double_divide(identity,X_11),inverse(identity))
    | double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = double_divide(double_divide(double_divide(identity,X_11),inverse(identity)),inverse(X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),double_divide(double_divide(double_divide(inverse(identity),X_11),inverse(identity)),inverse(X_11))) ),[1,0],$fot(double_divide(double_divide(identity,X_11),inverse(identity)))]]) ).

cnf(refute_0_178,plain,
    ( double_divide(double_divide(identity,inverse(identity)),inverse(identity)) != double_divide(double_divide(double_divide(inverse(identity),X_11),inverse(identity)),inverse(X_11))
    | double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = double_divide(double_divide(double_divide(identity,X_11),inverse(identity)),inverse(X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),X_11),inverse(identity)),double_divide(double_divide(identity,X_11),inverse(identity))) )],[refute_0_176,refute_0_177]) ).

cnf(refute_0_179,plain,
    double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = double_divide(double_divide(double_divide(identity,X_11),inverse(identity)),inverse(X_11)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),double_divide(double_divide(double_divide(inverse(identity),X_11),inverse(identity)),inverse(X_11))) )],[refute_0_87,refute_0_178]) ).

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

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

cnf(refute_0_182,plain,
    double_divide(identity,inverse(identity)) = identity,
    inference(subst,[],[refute_0_181:[bind(A,$fot(identity))]]) ).

cnf(refute_0_183,plain,
    multiply(inverse(identity),inverse(identity)) = inverse(double_divide(inverse(identity),inverse(identity))),
    inference(subst,[],[refute_0_8:[bind(A,$fot(inverse(identity))),bind(B,$fot(inverse(identity)))]]) ).

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

cnf(refute_0_185,plain,
    ( multiply(inverse(identity),inverse(identity)) != inverse(double_divide(inverse(identity),inverse(identity)))
    | multiply(inverse(identity),inverse(identity)) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),identity) )],[refute_0_145,refute_0_184]) ).

cnf(refute_0_186,plain,
    multiply(inverse(identity),inverse(identity)) = inverse(identity),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(identity)),inverse(double_divide(inverse(identity),inverse(identity)))) )],[refute_0_183,refute_0_185]) ).

cnf(refute_0_187,plain,
    double_divide(identity,multiply(inverse(identity),inverse(identity))) = double_divide(identity,multiply(inverse(identity),inverse(identity))),
    introduced(tautology,[refl,[$fot(double_divide(identity,multiply(inverse(identity),inverse(identity))))]]) ).

cnf(refute_0_188,plain,
    ( multiply(inverse(identity),inverse(identity)) != inverse(identity)
    | double_divide(identity,multiply(inverse(identity),inverse(identity))) != double_divide(identity,multiply(inverse(identity),inverse(identity)))
    | double_divide(identity,multiply(inverse(identity),inverse(identity))) = double_divide(identity,inverse(identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,multiply(inverse(identity),inverse(identity))),double_divide(identity,multiply(inverse(identity),inverse(identity)))) ),[1,1],$fot(inverse(identity))]]) ).

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

cnf(refute_0_190,plain,
    double_divide(identity,multiply(inverse(identity),inverse(identity))) = double_divide(identity,inverse(identity)),
    inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(identity)),inverse(identity)) )],[refute_0_186,refute_0_189]) ).

cnf(refute_0_191,plain,
    ( double_divide(identity,multiply(inverse(identity),inverse(identity))) != double_divide(identity,inverse(identity))
    | double_divide(identity,inverse(identity)) != identity
    | double_divide(identity,multiply(inverse(identity),inverse(identity))) = identity ),
    inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(identity,multiply(inverse(identity),inverse(identity))))),bind(Y,$fot(double_divide(identity,inverse(identity)))),bind(Z,$fot(identity))]]) ).

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

cnf(refute_0_193,plain,
    double_divide(identity,multiply(inverse(identity),inverse(identity))) = identity,
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_182,refute_0_192]) ).

cnf(refute_0_194,plain,
    double_divide(double_divide(X_26,inverse(identity)),inverse(identity)) = double_divide(double_divide(double_divide(inverse(X_26),double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))),inverse(identity)),inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11)))),
    inference(subst,[],[refute_0_86:[bind(A,$fot(X_26)),bind(X_11,$fot(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11)))),bind(X_12,$fot(inverse(identity)))]]) ).

cnf(refute_0_195,plain,
    double_divide(double_divide(inverse(X_26),double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))),inverse(identity)) = identity,
    inference(subst,[],[refute_0_119:[bind(X_10,$fot(inverse(X_26)))]]) ).

cnf(refute_0_196,plain,
    ( double_divide(double_divide(X_26,inverse(identity)),inverse(identity)) != double_divide(double_divide(double_divide(inverse(X_26),double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))),inverse(identity)),inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))))
    | double_divide(double_divide(inverse(X_26),double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))),inverse(identity)) != identity
    | double_divide(double_divide(X_26,inverse(identity)),inverse(identity)) = double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_26,inverse(identity)),inverse(identity)),double_divide(double_divide(double_divide(inverse(X_26),double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))),inverse(identity)),inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))))) ),[1,0],$fot(identity)]]) ).

cnf(refute_0_197,plain,
    ( double_divide(double_divide(X_26,inverse(identity)),inverse(identity)) != double_divide(double_divide(double_divide(inverse(X_26),double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))),inverse(identity)),inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))))
    | double_divide(double_divide(X_26,inverse(identity)),inverse(identity)) = double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_26),double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))),inverse(identity)),identity) )],[refute_0_195,refute_0_196]) ).

cnf(refute_0_198,plain,
    double_divide(double_divide(X_26,inverse(identity)),inverse(identity)) = double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11)))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_26,inverse(identity)),inverse(identity)),double_divide(double_divide(double_divide(inverse(X_26),double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))),inverse(identity)),inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))))) )],[refute_0_194,refute_0_197]) ).

cnf(refute_0_199,plain,
    multiply(inverse(X_23),multiply(X_23,inverse(X_22))) = inverse(double_divide(multiply(X_23,inverse(X_22)),inverse(X_23))),
    inference(subst,[],[refute_0_8:[bind(A,$fot(inverse(X_23))),bind(B,$fot(multiply(X_23,inverse(X_22))))]]) ).

cnf(refute_0_200,plain,
    double_divide(double_divide(A,double_divide(double_divide(double_divide(A,identity),double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14))),inverse(identity))),inverse(identity)) = double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14)),
    inference(subst,[],[refute_0_45:[bind(B,$fot(identity)),bind(C,$fot(double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14))))]]) ).

cnf(refute_0_201,plain,
    double_divide(double_divide(double_divide(A,identity),double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14))),inverse(identity)) = identity,
    inference(subst,[],[refute_0_119:[bind(X_10,$fot(double_divide(A,identity))),bind(X_11,$fot(X_14))]]) ).

cnf(refute_0_202,plain,
    ( double_divide(double_divide(A,double_divide(double_divide(double_divide(A,identity),double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14))),inverse(identity))),inverse(identity)) != double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14))
    | double_divide(double_divide(double_divide(A,identity),double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14))),inverse(identity)) != identity
    | double_divide(double_divide(A,identity),inverse(identity)) = double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(A,identity),double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14))),inverse(identity))),inverse(identity)),double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14))) ),[0,0,1],$fot(identity)]]) ).

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

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

cnf(refute_0_205,plain,
    double_divide(double_divide(A,identity),inverse(identity)) = double_divide(double_divide(A,identity),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(A,identity),inverse(identity)))]]) ).

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

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

cnf(refute_0_208,plain,
    double_divide(double_divide(A,identity),inverse(identity)) = double_divide(inverse(A),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(A,identity),inverse(A)) )],[refute_0_4,refute_0_207]) ).

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

cnf(refute_0_210,plain,
    ( double_divide(double_divide(A,identity),inverse(identity)) != double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14))
    | double_divide(inverse(A),inverse(identity)) = double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,identity),inverse(identity)),double_divide(inverse(A),inverse(identity))) )],[refute_0_208,refute_0_209]) ).

cnf(refute_0_211,plain,
    multiply(X_14,double_divide(A,identity)) = multiply(X_14,double_divide(A,identity)),
    introduced(tautology,[refl,[$fot(multiply(X_14,double_divide(A,identity)))]]) ).

cnf(refute_0_212,plain,
    ( multiply(X_14,double_divide(A,identity)) != multiply(X_14,double_divide(A,identity))
    | double_divide(A,identity) != inverse(A)
    | multiply(X_14,double_divide(A,identity)) = multiply(X_14,inverse(A)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_14,double_divide(A,identity)),multiply(X_14,double_divide(A,identity))) ),[1,1],$fot(inverse(A))]]) ).

cnf(refute_0_213,plain,
    ( double_divide(A,identity) != inverse(A)
    | multiply(X_14,double_divide(A,identity)) = multiply(X_14,inverse(A)) ),
    inference(resolve,[$cnf( $equal(multiply(X_14,double_divide(A,identity)),multiply(X_14,double_divide(A,identity))) )],[refute_0_211,refute_0_212]) ).

cnf(refute_0_214,plain,
    multiply(X_14,double_divide(A,identity)) = multiply(X_14,inverse(A)),
    inference(resolve,[$cnf( $equal(double_divide(A,identity),inverse(A)) )],[refute_0_4,refute_0_213]) ).

cnf(refute_0_215,plain,
    double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14)) = double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14)),
    introduced(tautology,[refl,[$fot(double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14)))]]) ).

cnf(refute_0_216,plain,
    ( multiply(X_14,double_divide(A,identity)) != multiply(X_14,inverse(A))
    | double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14)) != double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14))
    | double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14)) = double_divide(multiply(X_14,inverse(A)),inverse(X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14)),double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14))) ),[1,0],$fot(multiply(X_14,inverse(A)))]]) ).

cnf(refute_0_217,plain,
    ( multiply(X_14,double_divide(A,identity)) != multiply(X_14,inverse(A))
    | double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14)) = double_divide(multiply(X_14,inverse(A)),inverse(X_14)) ),
    inference(resolve,[$cnf( $equal(double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14)),double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14))) )],[refute_0_215,refute_0_216]) ).

cnf(refute_0_218,plain,
    double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14)) = double_divide(multiply(X_14,inverse(A)),inverse(X_14)),
    inference(resolve,[$cnf( $equal(multiply(X_14,double_divide(A,identity)),multiply(X_14,inverse(A))) )],[refute_0_214,refute_0_217]) ).

cnf(refute_0_219,plain,
    ( double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14)) != double_divide(multiply(X_14,inverse(A)),inverse(X_14))
    | double_divide(inverse(A),inverse(identity)) != double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14))
    | double_divide(inverse(A),inverse(identity)) = double_divide(multiply(X_14,inverse(A)),inverse(X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(A),inverse(identity)),double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14))) ),[1],$fot(double_divide(multiply(X_14,inverse(A)),inverse(X_14)))]]) ).

cnf(refute_0_220,plain,
    ( double_divide(inverse(A),inverse(identity)) != double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14))
    | double_divide(inverse(A),inverse(identity)) = double_divide(multiply(X_14,inverse(A)),inverse(X_14)) ),
    inference(resolve,[$cnf( $equal(double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14)),double_divide(multiply(X_14,inverse(A)),inverse(X_14))) )],[refute_0_218,refute_0_219]) ).

cnf(refute_0_221,plain,
    ( double_divide(double_divide(A,identity),inverse(identity)) != double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14))
    | double_divide(inverse(A),inverse(identity)) = double_divide(multiply(X_14,inverse(A)),inverse(X_14)) ),
    inference(resolve,[$cnf( $equal(double_divide(inverse(A),inverse(identity)),double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14))) )],[refute_0_210,refute_0_220]) ).

cnf(refute_0_222,plain,
    double_divide(inverse(A),inverse(identity)) = double_divide(multiply(X_14,inverse(A)),inverse(X_14)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,identity),inverse(identity)),double_divide(multiply(X_14,double_divide(A,identity)),inverse(X_14))) )],[refute_0_204,refute_0_221]) ).

cnf(refute_0_223,plain,
    double_divide(inverse(X_22),inverse(identity)) = double_divide(multiply(X_23,inverse(X_22)),inverse(X_23)),
    inference(subst,[],[refute_0_222:[bind(A,$fot(X_22)),bind(X_14,$fot(X_23))]]) ).

cnf(refute_0_224,plain,
    ( double_divide(inverse(X_22),inverse(identity)) != double_divide(multiply(X_23,inverse(X_22)),inverse(X_23))
    | double_divide(multiply(X_23,inverse(X_22)),inverse(X_23)) = double_divide(inverse(X_22),inverse(identity)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(inverse(X_22),inverse(identity)))),bind(Y,$fot(double_divide(multiply(X_23,inverse(X_22)),inverse(X_23))))]]) ).

cnf(refute_0_225,plain,
    double_divide(multiply(X_23,inverse(X_22)),inverse(X_23)) = double_divide(inverse(X_22),inverse(identity)),
    inference(resolve,[$cnf( $equal(double_divide(inverse(X_22),inverse(identity)),double_divide(multiply(X_23,inverse(X_22)),inverse(X_23))) )],[refute_0_223,refute_0_224]) ).

cnf(refute_0_226,plain,
    ( multiply(inverse(X_23),multiply(X_23,inverse(X_22))) != inverse(double_divide(multiply(X_23,inverse(X_22)),inverse(X_23)))
    | double_divide(multiply(X_23,inverse(X_22)),inverse(X_23)) != double_divide(inverse(X_22),inverse(identity))
    | multiply(inverse(X_23),multiply(X_23,inverse(X_22))) = inverse(double_divide(inverse(X_22),inverse(identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_23),multiply(X_23,inverse(X_22))),inverse(double_divide(multiply(X_23,inverse(X_22)),inverse(X_23)))) ),[1,0],$fot(double_divide(inverse(X_22),inverse(identity)))]]) ).

cnf(refute_0_227,plain,
    ( multiply(inverse(X_23),multiply(X_23,inverse(X_22))) != inverse(double_divide(multiply(X_23,inverse(X_22)),inverse(X_23)))
    | multiply(inverse(X_23),multiply(X_23,inverse(X_22))) = inverse(double_divide(inverse(X_22),inverse(identity))) ),
    inference(resolve,[$cnf( $equal(double_divide(multiply(X_23,inverse(X_22)),inverse(X_23)),double_divide(inverse(X_22),inverse(identity))) )],[refute_0_225,refute_0_226]) ).

cnf(refute_0_228,plain,
    multiply(inverse(X_23),multiply(X_23,inverse(X_22))) = inverse(double_divide(inverse(X_22),inverse(identity))),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_23),multiply(X_23,inverse(X_22))),inverse(double_divide(multiply(X_23,inverse(X_22)),inverse(X_23)))) )],[refute_0_199,refute_0_227]) ).

cnf(refute_0_229,plain,
    inverse(double_divide(inverse(X_22),inverse(identity))) = multiply(inverse(identity),inverse(X_22)),
    inference(subst,[],[refute_0_60:[bind(A,$fot(inverse(identity))),bind(B,$fot(inverse(X_22)))]]) ).

cnf(refute_0_230,plain,
    ( multiply(inverse(X_23),multiply(X_23,inverse(X_22))) != inverse(double_divide(inverse(X_22),inverse(identity)))
    | inverse(double_divide(inverse(X_22),inverse(identity))) != multiply(inverse(identity),inverse(X_22))
    | multiply(inverse(X_23),multiply(X_23,inverse(X_22))) = multiply(inverse(identity),inverse(X_22)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_23),multiply(X_23,inverse(X_22))),multiply(inverse(identity),inverse(X_22))) ),[0],$fot(inverse(double_divide(inverse(X_22),inverse(identity))))]]) ).

cnf(refute_0_231,plain,
    ( multiply(inverse(X_23),multiply(X_23,inverse(X_22))) != inverse(double_divide(inverse(X_22),inverse(identity)))
    | multiply(inverse(X_23),multiply(X_23,inverse(X_22))) = multiply(inverse(identity),inverse(X_22)) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_22),inverse(identity))),multiply(inverse(identity),inverse(X_22))) )],[refute_0_229,refute_0_230]) ).

cnf(refute_0_232,plain,
    multiply(inverse(X_23),multiply(X_23,inverse(X_22))) = multiply(inverse(identity),inverse(X_22)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_23),multiply(X_23,inverse(X_22))),inverse(double_divide(inverse(X_22),inverse(identity)))) )],[refute_0_228,refute_0_231]) ).

cnf(refute_0_233,plain,
    multiply(inverse(X_11),multiply(X_11,inverse(X_26))) = multiply(inverse(identity),inverse(X_26)),
    inference(subst,[],[refute_0_232:[bind(X_22,$fot(X_26)),bind(X_23,$fot(X_11))]]) ).

cnf(refute_0_234,plain,
    inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))) = multiply(inverse(X_11),multiply(X_11,inverse(X_26))),
    inference(subst,[],[refute_0_60:[bind(A,$fot(inverse(X_11))),bind(B,$fot(multiply(X_11,inverse(X_26))))]]) ).

cnf(refute_0_235,plain,
    ( multiply(inverse(X_11),multiply(X_11,inverse(X_26))) != multiply(inverse(identity),inverse(X_26))
    | inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))) != multiply(inverse(X_11),multiply(X_11,inverse(X_26)))
    | inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))) = multiply(inverse(identity),inverse(X_26)) ),
    inference(subst,[],[refute_0_39:[bind(X,$fot(inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))))),bind(Y,$fot(multiply(inverse(X_11),multiply(X_11,inverse(X_26))))),bind(Z,$fot(multiply(inverse(identity),inverse(X_26))))]]) ).

cnf(refute_0_236,plain,
    ( multiply(inverse(X_11),multiply(X_11,inverse(X_26))) != multiply(inverse(identity),inverse(X_26))
    | inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))) = multiply(inverse(identity),inverse(X_26)) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))),multiply(inverse(X_11),multiply(X_11,inverse(X_26)))) )],[refute_0_234,refute_0_235]) ).

cnf(refute_0_237,plain,
    inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))) = multiply(inverse(identity),inverse(X_26)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_11),multiply(X_11,inverse(X_26))),multiply(inverse(identity),inverse(X_26))) )],[refute_0_233,refute_0_236]) ).

cnf(refute_0_238,plain,
    double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11)))) = double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11)))),
    introduced(tautology,[refl,[$fot(double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11)))))]]) ).

cnf(refute_0_239,plain,
    ( double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11)))) != double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))))
    | inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))) != multiply(inverse(identity),inverse(X_26))
    | double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11)))) = double_divide(identity,multiply(inverse(identity),inverse(X_26))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11)))),double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))))) ),[1,1],$fot(multiply(inverse(identity),inverse(X_26)))]]) ).

cnf(refute_0_240,plain,
    ( inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))) != multiply(inverse(identity),inverse(X_26))
    | double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11)))) = double_divide(identity,multiply(inverse(identity),inverse(X_26))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11)))),double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))))) )],[refute_0_238,refute_0_239]) ).

cnf(refute_0_241,plain,
    double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11)))) = double_divide(identity,multiply(inverse(identity),inverse(X_26))),
    inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))),multiply(inverse(identity),inverse(X_26))) )],[refute_0_237,refute_0_240]) ).

cnf(refute_0_242,plain,
    ( double_divide(double_divide(X_26,inverse(identity)),inverse(identity)) != double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))))
    | double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11)))) != double_divide(identity,multiply(inverse(identity),inverse(X_26)))
    | double_divide(double_divide(X_26,inverse(identity)),inverse(identity)) = double_divide(identity,multiply(inverse(identity),inverse(X_26))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(double_divide(X_26,inverse(identity)),inverse(identity)),double_divide(identity,multiply(inverse(identity),inverse(X_26)))) ),[0],$fot(double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11)))))]]) ).

cnf(refute_0_243,plain,
    ( double_divide(double_divide(X_26,inverse(identity)),inverse(identity)) != double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))))
    | double_divide(double_divide(X_26,inverse(identity)),inverse(identity)) = double_divide(identity,multiply(inverse(identity),inverse(X_26))) ),
    inference(resolve,[$cnf( $equal(double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11)))),double_divide(identity,multiply(inverse(identity),inverse(X_26)))) )],[refute_0_241,refute_0_242]) ).

cnf(refute_0_244,plain,
    double_divide(double_divide(X_26,inverse(identity)),inverse(identity)) = double_divide(identity,multiply(inverse(identity),inverse(X_26))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_26,inverse(identity)),inverse(identity)),double_divide(identity,inverse(double_divide(multiply(X_11,inverse(X_26)),inverse(X_11))))) )],[refute_0_198,refute_0_243]) ).

cnf(refute_0_245,plain,
    double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = double_divide(identity,multiply(inverse(identity),inverse(identity))),
    inference(subst,[],[refute_0_244:[bind(X_26,$fot(identity))]]) ).

cnf(refute_0_246,plain,
    ( double_divide(double_divide(identity,inverse(identity)),inverse(identity)) != double_divide(identity,multiply(inverse(identity),inverse(identity)))
    | double_divide(identity,multiply(inverse(identity),inverse(identity))) != identity
    | double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = identity ),
    inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(double_divide(identity,inverse(identity)),inverse(identity)))),bind(Y,$fot(double_divide(identity,multiply(inverse(identity),inverse(identity))))),bind(Z,$fot(identity))]]) ).

cnf(refute_0_247,plain,
    ( double_divide(identity,multiply(inverse(identity),inverse(identity))) != identity
    | double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = identity ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),double_divide(identity,multiply(inverse(identity),inverse(identity)))) )],[refute_0_245,refute_0_246]) ).

cnf(refute_0_248,plain,
    double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = identity,
    inference(resolve,[$cnf( $equal(double_divide(identity,multiply(inverse(identity),inverse(identity))),identity) )],[refute_0_193,refute_0_247]) ).

cnf(refute_0_249,plain,
    ( double_divide(double_divide(identity,inverse(identity)),inverse(identity)) != double_divide(double_divide(double_divide(identity,X_11),inverse(identity)),inverse(X_11))
    | double_divide(double_divide(identity,inverse(identity)),inverse(identity)) != identity
    | identity = double_divide(double_divide(double_divide(identity,X_11),inverse(identity)),inverse(X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),double_divide(double_divide(double_divide(identity,X_11),inverse(identity)),inverse(X_11))) ),[0],$fot(identity)]]) ).

cnf(refute_0_250,plain,
    ( double_divide(double_divide(identity,inverse(identity)),inverse(identity)) != double_divide(double_divide(double_divide(identity,X_11),inverse(identity)),inverse(X_11))
    | identity = double_divide(double_divide(double_divide(identity,X_11),inverse(identity)),inverse(X_11)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),identity) )],[refute_0_248,refute_0_249]) ).

cnf(refute_0_251,plain,
    identity = double_divide(double_divide(double_divide(identity,X_11),inverse(identity)),inverse(X_11)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),double_divide(double_divide(double_divide(identity,X_11),inverse(identity)),inverse(X_11))) )],[refute_0_179,refute_0_250]) ).

cnf(refute_0_252,plain,
    identity = double_divide(double_divide(double_divide(identity,B),inverse(identity)),inverse(B)),
    inference(subst,[],[refute_0_251:[bind(X_11,$fot(B))]]) ).

cnf(refute_0_253,plain,
    ( identity != double_divide(double_divide(double_divide(identity,B),inverse(identity)),inverse(B))
    | double_divide(double_divide(double_divide(identity,B),inverse(identity)),inverse(B)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(double_divide(double_divide(identity,B),inverse(identity)),inverse(B))))]]) ).

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

cnf(refute_0_255,plain,
    ( double_divide(double_divide(double_divide(identity,B),inverse(identity)),inverse(B)) != identity
    | double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,B),inverse(identity)),inverse(B))),inverse(identity)) != inverse(identity)
    | double_divide(double_divide(identity,identity),inverse(identity)) = inverse(identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,B),inverse(identity)),inverse(B))),inverse(identity)),inverse(identity)) ),[0,0,1],$fot(identity)]]) ).

cnf(refute_0_256,plain,
    ( double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,B),inverse(identity)),inverse(B))),inverse(identity)) != inverse(identity)
    | double_divide(double_divide(identity,identity),inverse(identity)) = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,B),inverse(identity)),inverse(B)),identity) )],[refute_0_254,refute_0_255]) ).

cnf(refute_0_257,plain,
    double_divide(double_divide(identity,identity),inverse(identity)) = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,B),inverse(identity)),inverse(B))),inverse(identity)),inverse(identity)) )],[refute_0_66,refute_0_256]) ).

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

cnf(refute_0_259,plain,
    ( double_divide(double_divide(identity,identity),inverse(identity)) != inverse(identity)
    | identity = inverse(identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),identity) )],[refute_0_138,refute_0_258]) ).

cnf(refute_0_260,plain,
    identity = inverse(identity),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),inverse(identity)) )],[refute_0_257,refute_0_259]) ).

cnf(refute_0_261,plain,
    ( identity != inverse(identity)
    | inverse(identity) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(identity)))]]) ).

cnf(refute_0_262,plain,
    inverse(identity) = identity,
    inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_260,refute_0_261]) ).

cnf(refute_0_263,plain,
    double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)) = double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)))]]) ).

cnf(refute_0_264,plain,
    ( double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)) != double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)) = double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)),double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_265,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)) = double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)),double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity))) )],[refute_0_263,refute_0_264]) ).

cnf(refute_0_266,plain,
    double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)) = double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_262,refute_0_265]) ).

cnf(refute_0_267,plain,
    ( double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),identity) != multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))
    | double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)) != double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),identity)
    | double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)) = multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) ),
    inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),identity))),bind(Z,$fot(multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))))]]) ).

cnf(refute_0_268,plain,
    ( double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),identity) != multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))
    | double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)) = multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)),double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),identity)) )],[refute_0_266,refute_0_267]) ).

cnf(refute_0_269,plain,
    double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)) = multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),identity),multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))) )],[refute_0_65,refute_0_268]) ).

cnf(refute_0_270,plain,
    ( double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)) != X_12
    | double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)) != multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))
    | multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)),X_12) ),[0],$fot(multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)))]]) ).

cnf(refute_0_271,plain,
    ( double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)) != X_12
    | multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)),multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))) )],[refute_0_269,refute_0_270]) ).

cnf(refute_0_272,plain,
    multiply(double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(identity,X_12),inverse(multiply(X_2,X_3)))),inverse(identity)),X_12) )],[refute_0_58,refute_0_271]) ).

cnf(refute_0_273,plain,
    multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A))))) = X_35,
    inference(subst,[],[refute_0_272:[bind(X_12,$fot(X_35)),bind(X_2,$fot(inverse(inverse(inverse(A))))),bind(X_3,$fot(double_divide(identity,X_18)))]]) ).

cnf(refute_0_274,plain,
    double_divide(double_divide(A,double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity))))),inverse(identity))),inverse(identity)) = double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity)))),
    inference(subst,[],[refute_0_45:[bind(B,$fot(identity)),bind(C,$fot(double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity))))))]]) ).

cnf(refute_0_275,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_10,inverse(X_10)),X_12),inverse(inverse(X_10)))),inverse(identity)) = X_12,
    inference(subst,[],[refute_0_45:[bind(A,$fot(X_10)),bind(B,$fot(inverse(X_10))),bind(C,$fot(X_12))]]) ).

cnf(refute_0_276,plain,
    identity = double_divide(X_10,inverse(X_10)),
    inference(subst,[],[identity:[bind(A,$fot(X_10))]]) ).

cnf(refute_0_277,plain,
    ( identity != double_divide(X_10,inverse(X_10))
    | double_divide(X_10,inverse(X_10)) = identity ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_10,inverse(X_10))))]]) ).

cnf(refute_0_278,plain,
    double_divide(X_10,inverse(X_10)) = identity,
    inference(resolve,[$cnf( $equal(identity,double_divide(X_10,inverse(X_10))) )],[refute_0_276,refute_0_277]) ).

cnf(refute_0_279,plain,
    ( double_divide(X_10,inverse(X_10)) != identity
    | double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_10,inverse(X_10)),X_12),inverse(inverse(X_10)))),inverse(identity)) != X_12
    | double_divide(double_divide(X_10,double_divide(double_divide(identity,X_12),inverse(inverse(X_10)))),inverse(identity)) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_10,inverse(X_10)),X_12),inverse(inverse(X_10)))),inverse(identity)),X_12) ),[0,0,1,0,0],$fot(identity)]]) ).

cnf(refute_0_280,plain,
    ( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_10,inverse(X_10)),X_12),inverse(inverse(X_10)))),inverse(identity)) != X_12
    | double_divide(double_divide(X_10,double_divide(double_divide(identity,X_12),inverse(inverse(X_10)))),inverse(identity)) = X_12 ),
    inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(X_10)),identity) )],[refute_0_278,refute_0_279]) ).

cnf(refute_0_281,plain,
    double_divide(double_divide(X_10,double_divide(double_divide(identity,X_12),inverse(inverse(X_10)))),inverse(identity)) = X_12,
    inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_10,inverse(X_10)),X_12),inverse(inverse(X_10)))),inverse(identity)),X_12) )],[refute_0_275,refute_0_280]) ).

cnf(refute_0_282,plain,
    double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity))))),inverse(identity)) = X_18,
    inference(subst,[],[refute_0_281:[bind(X_10,$fot(double_divide(A,identity))),bind(X_12,$fot(X_18))]]) ).

cnf(refute_0_283,plain,
    ( double_divide(double_divide(A,double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity))))),inverse(identity))),inverse(identity)) != double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity))))
    | double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity))))),inverse(identity)) != X_18
    | double_divide(double_divide(A,X_18),inverse(identity)) = double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity))))),inverse(identity))),inverse(identity)),double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity))))) ),[0,0,1],$fot(X_18)]]) ).

cnf(refute_0_284,plain,
    ( double_divide(double_divide(A,double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity))))),inverse(identity))),inverse(identity)) != double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity))))
    | double_divide(double_divide(A,X_18),inverse(identity)) = double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity))))),inverse(identity)),X_18) )],[refute_0_282,refute_0_283]) ).

cnf(refute_0_285,plain,
    double_divide(double_divide(A,X_18),inverse(identity)) = double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity)))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity))))),inverse(identity))),inverse(identity)),double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity))))) )],[refute_0_274,refute_0_284]) ).

cnf(refute_0_286,plain,
    multiply(identity,A) = inverse(inverse(A)),
    inference(subst,[],[refute_0_15:[bind(X_3,$fot(A))]]) ).

cnf(refute_0_287,plain,
    inverse(double_divide(A,identity)) = multiply(identity,A),
    inference(subst,[],[refute_0_60:[bind(A,$fot(identity)),bind(B,$fot(A))]]) ).

cnf(refute_0_288,plain,
    ( multiply(identity,A) != inverse(inverse(A))
    | inverse(double_divide(A,identity)) != multiply(identity,A)
    | inverse(double_divide(A,identity)) = inverse(inverse(A)) ),
    inference(subst,[],[refute_0_39:[bind(X,$fot(inverse(double_divide(A,identity)))),bind(Y,$fot(multiply(identity,A))),bind(Z,$fot(inverse(inverse(A))))]]) ).

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

cnf(refute_0_290,plain,
    inverse(double_divide(A,identity)) = inverse(inverse(A)),
    inference(resolve,[$cnf( $equal(multiply(identity,A),inverse(inverse(A))) )],[refute_0_286,refute_0_289]) ).

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

cnf(refute_0_292,plain,
    ( inverse(double_divide(A,identity)) != inverse(inverse(A))
    | inverse(inverse(double_divide(A,identity))) != inverse(inverse(double_divide(A,identity)))
    | inverse(inverse(double_divide(A,identity))) = inverse(inverse(inverse(A))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(A,identity))),inverse(inverse(double_divide(A,identity)))) ),[1,0],$fot(inverse(inverse(A)))]]) ).

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

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

cnf(refute_0_295,plain,
    double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity)))) = double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity)))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity)))))]]) ).

cnf(refute_0_296,plain,
    ( double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity)))) != double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity))))
    | inverse(inverse(double_divide(A,identity))) != inverse(inverse(inverse(A)))
    | double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity)))) = double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity)))),double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity))))) ),[1,1],$fot(inverse(inverse(inverse(A))))]]) ).

cnf(refute_0_297,plain,
    ( inverse(inverse(double_divide(A,identity))) != inverse(inverse(inverse(A)))
    | double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity)))) = double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity)))),double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity))))) )],[refute_0_295,refute_0_296]) ).

cnf(refute_0_298,plain,
    double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity)))) = double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A)))),
    inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(A,identity))),inverse(inverse(inverse(A)))) )],[refute_0_294,refute_0_297]) ).

cnf(refute_0_299,plain,
    ( double_divide(double_divide(A,X_18),inverse(identity)) != double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity))))
    | double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity)))) != double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A))))
    | double_divide(double_divide(A,X_18),inverse(identity)) = double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(double_divide(A,X_18),inverse(identity)),double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A))))) ),[0],$fot(double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity)))))]]) ).

cnf(refute_0_300,plain,
    ( double_divide(double_divide(A,X_18),inverse(identity)) != double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity))))
    | double_divide(double_divide(A,X_18),inverse(identity)) = double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity)))),double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A))))) )],[refute_0_298,refute_0_299]) ).

cnf(refute_0_301,plain,
    double_divide(double_divide(A,X_18),inverse(identity)) = double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A)))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,X_18),inverse(identity)),double_divide(double_divide(identity,X_18),inverse(inverse(double_divide(A,identity))))) )],[refute_0_285,refute_0_300]) ).

cnf(refute_0_302,plain,
    inverse(double_divide(A,X_18)) = multiply(X_18,A),
    inference(subst,[],[refute_0_60:[bind(A,$fot(X_18)),bind(B,$fot(A))]]) ).

cnf(refute_0_303,plain,
    double_divide(double_divide(A,X_18),identity) = inverse(double_divide(A,X_18)),
    inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(A,X_18)))]]) ).

cnf(refute_0_304,plain,
    ( double_divide(double_divide(A,X_18),identity) != inverse(double_divide(A,X_18))
    | inverse(double_divide(A,X_18)) != multiply(X_18,A)
    | double_divide(double_divide(A,X_18),identity) = multiply(X_18,A) ),
    inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(double_divide(A,X_18),identity))),bind(Y,$fot(inverse(double_divide(A,X_18)))),bind(Z,$fot(multiply(X_18,A)))]]) ).

cnf(refute_0_305,plain,
    ( inverse(double_divide(A,X_18)) != multiply(X_18,A)
    | double_divide(double_divide(A,X_18),identity) = multiply(X_18,A) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,X_18),identity),inverse(double_divide(A,X_18))) )],[refute_0_303,refute_0_304]) ).

cnf(refute_0_306,plain,
    double_divide(double_divide(A,X_18),identity) = multiply(X_18,A),
    inference(resolve,[$cnf( $equal(inverse(double_divide(A,X_18)),multiply(X_18,A)) )],[refute_0_302,refute_0_305]) ).

cnf(refute_0_307,plain,
    double_divide(double_divide(A,X_18),inverse(identity)) = double_divide(double_divide(A,X_18),inverse(identity)),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(A,X_18),inverse(identity)))]]) ).

cnf(refute_0_308,plain,
    ( double_divide(double_divide(A,X_18),inverse(identity)) != double_divide(double_divide(A,X_18),inverse(identity))
    | inverse(identity) != identity
    | double_divide(double_divide(A,X_18),inverse(identity)) = double_divide(double_divide(A,X_18),identity) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,X_18),inverse(identity)),double_divide(double_divide(A,X_18),inverse(identity))) ),[1,1],$fot(identity)]]) ).

cnf(refute_0_309,plain,
    ( inverse(identity) != identity
    | double_divide(double_divide(A,X_18),inverse(identity)) = double_divide(double_divide(A,X_18),identity) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,X_18),inverse(identity)),double_divide(double_divide(A,X_18),inverse(identity))) )],[refute_0_307,refute_0_308]) ).

cnf(refute_0_310,plain,
    double_divide(double_divide(A,X_18),inverse(identity)) = double_divide(double_divide(A,X_18),identity),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_262,refute_0_309]) ).

cnf(refute_0_311,plain,
    ( double_divide(double_divide(A,X_18),identity) != multiply(X_18,A)
    | double_divide(double_divide(A,X_18),inverse(identity)) != double_divide(double_divide(A,X_18),identity)
    | double_divide(double_divide(A,X_18),inverse(identity)) = multiply(X_18,A) ),
    inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(double_divide(A,X_18),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(A,X_18),identity))),bind(Z,$fot(multiply(X_18,A)))]]) ).

cnf(refute_0_312,plain,
    ( double_divide(double_divide(A,X_18),identity) != multiply(X_18,A)
    | double_divide(double_divide(A,X_18),inverse(identity)) = multiply(X_18,A) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,X_18),inverse(identity)),double_divide(double_divide(A,X_18),identity)) )],[refute_0_310,refute_0_311]) ).

cnf(refute_0_313,plain,
    double_divide(double_divide(A,X_18),inverse(identity)) = multiply(X_18,A),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,X_18),identity),multiply(X_18,A)) )],[refute_0_306,refute_0_312]) ).

cnf(refute_0_314,plain,
    ( double_divide(double_divide(A,X_18),inverse(identity)) != multiply(X_18,A)
    | double_divide(double_divide(A,X_18),inverse(identity)) != double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A))))
    | multiply(X_18,A) = double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,X_18),inverse(identity)),double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A))))) ),[0],$fot(multiply(X_18,A))]]) ).

cnf(refute_0_315,plain,
    ( double_divide(double_divide(A,X_18),inverse(identity)) != double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A))))
    | multiply(X_18,A) = double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,X_18),inverse(identity)),multiply(X_18,A)) )],[refute_0_313,refute_0_314]) ).

cnf(refute_0_316,plain,
    multiply(X_18,A) = double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A)))),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(A,X_18),inverse(identity)),double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A))))) )],[refute_0_301,refute_0_315]) ).

cnf(refute_0_317,plain,
    ( multiply(X_18,A) != double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A))))
    | double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A)))) = multiply(X_18,A) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_18,A))),bind(Y,$fot(double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A))))))]]) ).

cnf(refute_0_318,plain,
    double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A)))) = multiply(X_18,A),
    inference(resolve,[$cnf( $equal(multiply(X_18,A),double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A))))) )],[refute_0_316,refute_0_317]) ).

cnf(refute_0_319,plain,
    ( multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A))))) != X_35
    | double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A)))) != multiply(X_18,A)
    | multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A)) = X_35 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A))))),X_35) ),[0,1],$fot(multiply(X_18,A))]]) ).

cnf(refute_0_320,plain,
    ( multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A))))) != X_35
    | multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A)) = X_35 ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A)))),multiply(X_18,A)) )],[refute_0_318,refute_0_319]) ).

cnf(refute_0_321,plain,
    multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A)) = X_35,
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),double_divide(double_divide(identity,X_18),inverse(inverse(inverse(A))))),X_35) )],[refute_0_273,refute_0_320]) ).

cnf(refute_0_322,plain,
    multiply(X_34,double_divide(B,A)) = double_divide(double_divide(identity,X_34),inverse(inverse(inverse(double_divide(B,A))))),
    inference(subst,[],[refute_0_316:[bind(A,$fot(double_divide(B,A))),bind(X_18,$fot(X_34))]]) ).

cnf(refute_0_323,plain,
    ( multiply(X_34,double_divide(B,A)) != double_divide(double_divide(identity,X_34),inverse(inverse(inverse(double_divide(B,A)))))
    | inverse(double_divide(B,A)) != multiply(A,B)
    | multiply(X_34,double_divide(B,A)) = double_divide(double_divide(identity,X_34),inverse(inverse(multiply(A,B)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_34,double_divide(B,A)),double_divide(double_divide(identity,X_34),inverse(inverse(inverse(double_divide(B,A)))))) ),[1,1,0,0],$fot(multiply(A,B))]]) ).

cnf(refute_0_324,plain,
    ( multiply(X_34,double_divide(B,A)) != double_divide(double_divide(identity,X_34),inverse(inverse(inverse(double_divide(B,A)))))
    | multiply(X_34,double_divide(B,A)) = double_divide(double_divide(identity,X_34),inverse(inverse(multiply(A,B)))) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_60,refute_0_323]) ).

cnf(refute_0_325,plain,
    multiply(X_34,double_divide(B,A)) = double_divide(double_divide(identity,X_34),inverse(inverse(multiply(A,B)))),
    inference(resolve,[$cnf( $equal(multiply(X_34,double_divide(B,A)),double_divide(double_divide(identity,X_34),inverse(inverse(inverse(double_divide(B,A)))))) )],[refute_0_322,refute_0_324]) ).

cnf(refute_0_326,plain,
    ( multiply(X_34,double_divide(B,A)) != double_divide(double_divide(identity,X_34),inverse(inverse(multiply(A,B))))
    | double_divide(double_divide(identity,X_34),inverse(inverse(multiply(A,B)))) = multiply(X_34,double_divide(B,A)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_34,double_divide(B,A)))),bind(Y,$fot(double_divide(double_divide(identity,X_34),inverse(inverse(multiply(A,B))))))]]) ).

cnf(refute_0_327,plain,
    double_divide(double_divide(identity,X_34),inverse(inverse(multiply(A,B)))) = multiply(X_34,double_divide(B,A)),
    inference(resolve,[$cnf( $equal(multiply(X_34,double_divide(B,A)),double_divide(double_divide(identity,X_34),inverse(inverse(multiply(A,B))))) )],[refute_0_325,refute_0_326]) ).

cnf(refute_0_328,plain,
    double_divide(double_divide(identity,X_35),inverse(inverse(multiply(X_18,A)))) = multiply(X_35,double_divide(A,X_18)),
    inference(subst,[],[refute_0_327:[bind(A,$fot(X_18)),bind(B,$fot(A)),bind(X_34,$fot(X_35))]]) ).

cnf(refute_0_329,plain,
    multiply(inverse(inverse(inverse(X_33))),double_divide(identity,X_34)) = inverse(double_divide(double_divide(identity,X_34),inverse(inverse(inverse(X_33))))),
    inference(subst,[],[refute_0_8:[bind(A,$fot(inverse(inverse(inverse(X_33))))),bind(B,$fot(double_divide(identity,X_34)))]]) ).

cnf(refute_0_330,plain,
    multiply(X_34,X_33) = double_divide(double_divide(identity,X_34),inverse(inverse(inverse(X_33)))),
    inference(subst,[],[refute_0_316:[bind(A,$fot(X_33)),bind(X_18,$fot(X_34))]]) ).

cnf(refute_0_331,plain,
    ( multiply(X_34,X_33) != double_divide(double_divide(identity,X_34),inverse(inverse(inverse(X_33))))
    | double_divide(double_divide(identity,X_34),inverse(inverse(inverse(X_33)))) = multiply(X_34,X_33) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_34,X_33))),bind(Y,$fot(double_divide(double_divide(identity,X_34),inverse(inverse(inverse(X_33))))))]]) ).

cnf(refute_0_332,plain,
    double_divide(double_divide(identity,X_34),inverse(inverse(inverse(X_33)))) = multiply(X_34,X_33),
    inference(resolve,[$cnf( $equal(multiply(X_34,X_33),double_divide(double_divide(identity,X_34),inverse(inverse(inverse(X_33))))) )],[refute_0_330,refute_0_331]) ).

cnf(refute_0_333,plain,
    ( multiply(inverse(inverse(inverse(X_33))),double_divide(identity,X_34)) != inverse(double_divide(double_divide(identity,X_34),inverse(inverse(inverse(X_33)))))
    | double_divide(double_divide(identity,X_34),inverse(inverse(inverse(X_33)))) != multiply(X_34,X_33)
    | multiply(inverse(inverse(inverse(X_33))),double_divide(identity,X_34)) = inverse(multiply(X_34,X_33)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(inverse(X_33))),double_divide(identity,X_34)),inverse(double_divide(double_divide(identity,X_34),inverse(inverse(inverse(X_33)))))) ),[1,0],$fot(multiply(X_34,X_33))]]) ).

cnf(refute_0_334,plain,
    ( multiply(inverse(inverse(inverse(X_33))),double_divide(identity,X_34)) != inverse(double_divide(double_divide(identity,X_34),inverse(inverse(inverse(X_33)))))
    | multiply(inverse(inverse(inverse(X_33))),double_divide(identity,X_34)) = inverse(multiply(X_34,X_33)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_34),inverse(inverse(inverse(X_33)))),multiply(X_34,X_33)) )],[refute_0_332,refute_0_333]) ).

cnf(refute_0_335,plain,
    multiply(inverse(inverse(inverse(X_33))),double_divide(identity,X_34)) = inverse(multiply(X_34,X_33)),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(X_33))),double_divide(identity,X_34)),inverse(double_divide(double_divide(identity,X_34),inverse(inverse(inverse(X_33)))))) )],[refute_0_329,refute_0_334]) ).

cnf(refute_0_336,plain,
    multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)) = inverse(multiply(X_18,A)),
    inference(subst,[],[refute_0_335:[bind(X_33,$fot(A)),bind(X_34,$fot(X_18))]]) ).

cnf(refute_0_337,plain,
    inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18))) = inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18))),
    introduced(tautology,[refl,[$fot(inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18))))]]) ).

cnf(refute_0_338,plain,
    ( multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)) != inverse(multiply(X_18,A))
    | inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18))) != inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))
    | inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18))) = inverse(inverse(multiply(X_18,A))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18))),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))) ),[1,0],$fot(inverse(multiply(X_18,A)))]]) ).

cnf(refute_0_339,plain,
    ( multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)) != inverse(multiply(X_18,A))
    | inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18))) = inverse(inverse(multiply(X_18,A))) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18))),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))) )],[refute_0_337,refute_0_338]) ).

cnf(refute_0_340,plain,
    inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18))) = inverse(inverse(multiply(X_18,A))),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)),inverse(multiply(X_18,A))) )],[refute_0_336,refute_0_339]) ).

cnf(refute_0_341,plain,
    double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))) = double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),
    introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))))]]) ).

cnf(refute_0_342,plain,
    ( double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))) != double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18))))
    | inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18))) != inverse(inverse(multiply(X_18,A)))
    | double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))) = double_divide(double_divide(identity,X_35),inverse(inverse(multiply(X_18,A)))) ),
    introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18))))) ),[1,1],$fot(inverse(inverse(multiply(X_18,A))))]]) ).

cnf(refute_0_343,plain,
    ( inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18))) != inverse(inverse(multiply(X_18,A)))
    | double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))) = double_divide(double_divide(identity,X_35),inverse(inverse(multiply(X_18,A)))) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18))))) )],[refute_0_341,refute_0_342]) ).

cnf(refute_0_344,plain,
    double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))) = double_divide(double_divide(identity,X_35),inverse(inverse(multiply(X_18,A)))),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18))),inverse(inverse(multiply(X_18,A)))) )],[refute_0_340,refute_0_343]) ).

cnf(refute_0_345,plain,
    ( double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))) != double_divide(double_divide(identity,X_35),inverse(inverse(multiply(X_18,A))))
    | double_divide(double_divide(identity,X_35),inverse(inverse(multiply(X_18,A)))) != multiply(X_35,double_divide(A,X_18))
    | double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))) = multiply(X_35,double_divide(A,X_18)) ),
    inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))))),bind(Y,$fot(double_divide(double_divide(identity,X_35),inverse(inverse(multiply(X_18,A)))))),bind(Z,$fot(multiply(X_35,double_divide(A,X_18))))]]) ).

cnf(refute_0_346,plain,
    ( double_divide(double_divide(identity,X_35),inverse(inverse(multiply(X_18,A)))) != multiply(X_35,double_divide(A,X_18))
    | double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))) = multiply(X_35,double_divide(A,X_18)) ),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),double_divide(double_divide(identity,X_35),inverse(inverse(multiply(X_18,A))))) )],[refute_0_344,refute_0_345]) ).

cnf(refute_0_347,plain,
    double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))) = multiply(X_35,double_divide(A,X_18)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_35),inverse(inverse(multiply(X_18,A)))),multiply(X_35,double_divide(A,X_18))) )],[refute_0_328,refute_0_346]) ).

cnf(refute_0_348,plain,
    multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A)) = multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A)),
    introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A)))]]) ).

cnf(refute_0_349,plain,
    ( multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A)) != multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A))
    | double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))) != multiply(X_35,double_divide(A,X_18))
    | multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A)) = multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A)),multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A))) ),[1,0],$fot(multiply(X_35,double_divide(A,X_18)))]]) ).

cnf(refute_0_350,plain,
    ( double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))) != multiply(X_35,double_divide(A,X_18))
    | multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A)) = multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A)) ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A)),multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A))) )],[refute_0_348,refute_0_349]) ).

cnf(refute_0_351,plain,
    multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A)) = multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A)),
    inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_35,double_divide(A,X_18))) )],[refute_0_347,refute_0_350]) ).

cnf(refute_0_352,plain,
    ( multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A)) != X_35
    | multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A)) != multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A))
    | multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A)) = X_35 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A)),X_35) ),[0],$fot(multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A)))]]) ).

cnf(refute_0_353,plain,
    ( multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A)) != X_35
    | multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A)) = X_35 ),
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A)),multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A))) )],[refute_0_351,refute_0_352]) ).

cnf(refute_0_354,plain,
    multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A)) = X_35,
    inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_35),inverse(multiply(inverse(inverse(inverse(A))),double_divide(identity,X_18)))),multiply(X_18,A)),X_35) )],[refute_0_321,refute_0_353]) ).

cnf(refute_0_355,plain,
    multiply(multiply(inverse(double_divide(X_38,X_39)),double_divide(X_38,X_39)),multiply(X_39,X_38)) = inverse(double_divide(X_38,X_39)),
    inference(subst,[],[refute_0_354:[bind(A,$fot(X_38)),bind(X_18,$fot(X_39)),bind(X_35,$fot(inverse(double_divide(X_38,X_39))))]]) ).

cnf(refute_0_356,plain,
    ( multiply(inverse(X_3),X_3) != inverse(identity)
    | inverse(identity) != identity
    | multiply(inverse(X_3),X_3) = identity ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_3),X_3),identity) ),[0],$fot(inverse(identity))]]) ).

cnf(refute_0_357,plain,
    ( multiply(inverse(X_3),X_3) != inverse(identity)
    | multiply(inverse(X_3),X_3) = identity ),
    inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_262,refute_0_356]) ).

cnf(refute_0_358,plain,
    multiply(inverse(X_3),X_3) = identity,
    inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(identity)) )],[refute_0_127,refute_0_357]) ).

cnf(refute_0_359,plain,
    multiply(inverse(double_divide(X_38,X_39)),double_divide(X_38,X_39)) = identity,
    inference(subst,[],[refute_0_358:[bind(X_3,$fot(double_divide(X_38,X_39)))]]) ).

cnf(refute_0_360,plain,
    ( multiply(multiply(inverse(double_divide(X_38,X_39)),double_divide(X_38,X_39)),multiply(X_39,X_38)) != inverse(double_divide(X_38,X_39))
    | multiply(inverse(double_divide(X_38,X_39)),double_divide(X_38,X_39)) != identity
    | multiply(identity,multiply(X_39,X_38)) = inverse(double_divide(X_38,X_39)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(double_divide(X_38,X_39)),double_divide(X_38,X_39)),multiply(X_39,X_38)),inverse(double_divide(X_38,X_39))) ),[0,0],$fot(identity)]]) ).

cnf(refute_0_361,plain,
    ( multiply(multiply(inverse(double_divide(X_38,X_39)),double_divide(X_38,X_39)),multiply(X_39,X_38)) != inverse(double_divide(X_38,X_39))
    | multiply(identity,multiply(X_39,X_38)) = inverse(double_divide(X_38,X_39)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_38,X_39)),double_divide(X_38,X_39)),identity) )],[refute_0_359,refute_0_360]) ).

cnf(refute_0_362,plain,
    multiply(identity,multiply(X_39,X_38)) = inverse(double_divide(X_38,X_39)),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(double_divide(X_38,X_39)),double_divide(X_38,X_39)),multiply(X_39,X_38)),inverse(double_divide(X_38,X_39))) )],[refute_0_355,refute_0_361]) ).

cnf(refute_0_363,plain,
    multiply(identity,multiply(X_39,X_38)) = inverse(inverse(multiply(X_39,X_38))),
    inference(subst,[],[refute_0_15:[bind(X_3,$fot(multiply(X_39,X_38)))]]) ).

cnf(refute_0_364,plain,
    ( multiply(identity,multiply(X_39,X_38)) != inverse(double_divide(X_38,X_39))
    | multiply(identity,multiply(X_39,X_38)) != inverse(inverse(multiply(X_39,X_38)))
    | inverse(inverse(multiply(X_39,X_38))) = inverse(double_divide(X_38,X_39)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(identity,multiply(X_39,X_38)),inverse(double_divide(X_38,X_39))) ),[0],$fot(inverse(inverse(multiply(X_39,X_38))))]]) ).

cnf(refute_0_365,plain,
    ( multiply(identity,multiply(X_39,X_38)) != inverse(double_divide(X_38,X_39))
    | inverse(inverse(multiply(X_39,X_38))) = inverse(double_divide(X_38,X_39)) ),
    inference(resolve,[$cnf( $equal(multiply(identity,multiply(X_39,X_38)),inverse(inverse(multiply(X_39,X_38)))) )],[refute_0_363,refute_0_364]) ).

cnf(refute_0_366,plain,
    inverse(double_divide(X_38,X_39)) = multiply(X_39,X_38),
    inference(subst,[],[refute_0_60:[bind(A,$fot(X_39)),bind(B,$fot(X_38))]]) ).

cnf(refute_0_367,plain,
    ( inverse(double_divide(X_38,X_39)) != multiply(X_39,X_38)
    | inverse(inverse(multiply(X_39,X_38))) != inverse(double_divide(X_38,X_39))
    | inverse(inverse(multiply(X_39,X_38))) = multiply(X_39,X_38) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_39,X_38))),inverse(double_divide(X_38,X_39))) ),[1],$fot(multiply(X_39,X_38))]]) ).

cnf(refute_0_368,plain,
    ( inverse(inverse(multiply(X_39,X_38))) != inverse(double_divide(X_38,X_39))
    | inverse(inverse(multiply(X_39,X_38))) = multiply(X_39,X_38) ),
    inference(resolve,[$cnf( $equal(inverse(double_divide(X_38,X_39)),multiply(X_39,X_38)) )],[refute_0_366,refute_0_367]) ).

cnf(refute_0_369,plain,
    ( multiply(identity,multiply(X_39,X_38)) != inverse(double_divide(X_38,X_39))
    | inverse(inverse(multiply(X_39,X_38))) = multiply(X_39,X_38) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_39,X_38))),inverse(double_divide(X_38,X_39))) )],[refute_0_365,refute_0_368]) ).

cnf(refute_0_370,plain,
    inverse(inverse(multiply(X_39,X_38))) = multiply(X_39,X_38),
    inference(resolve,[$cnf( $equal(multiply(identity,multiply(X_39,X_38)),inverse(double_divide(X_38,X_39))) )],[refute_0_362,refute_0_369]) ).

cnf(refute_0_371,plain,
    inverse(inverse(multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A)))) = multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A)),
    inference(subst,[],[refute_0_370:[bind(X_38,$fot(multiply(X_18,A))),bind(X_39,$fot(multiply(X_35,double_divide(A,X_18))))]]) ).

cnf(refute_0_372,plain,
    ( multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A)) != X_35
    | inverse(inverse(multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A)))) != multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A))
    | inverse(inverse(X_35)) = multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A)))),multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A))) ),[0,0,0],$fot(X_35)]]) ).

cnf(refute_0_373,plain,
    ( inverse(inverse(multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A)))) != multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A))
    | inverse(inverse(X_35)) = multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A)),X_35) )],[refute_0_354,refute_0_372]) ).

cnf(refute_0_374,plain,
    inverse(inverse(X_35)) = multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A)),
    inference(resolve,[$cnf( $equal(inverse(inverse(multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A)))),multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A))) )],[refute_0_371,refute_0_373]) ).

cnf(refute_0_375,plain,
    ( multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A)) != X_35
    | inverse(inverse(X_35)) != multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A))
    | inverse(inverse(X_35)) = X_35 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_35)),multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A))) ),[1],$fot(X_35)]]) ).

cnf(refute_0_376,plain,
    ( inverse(inverse(X_35)) != multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A))
    | inverse(inverse(X_35)) = X_35 ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A)),X_35) )],[refute_0_354,refute_0_375]) ).

cnf(refute_0_377,plain,
    inverse(inverse(X_35)) = X_35,
    inference(resolve,[$cnf( $equal(inverse(inverse(X_35)),multiply(multiply(X_35,double_divide(A,X_18)),multiply(X_18,A))) )],[refute_0_374,refute_0_376]) ).

cnf(refute_0_378,plain,
    inverse(inverse(a2)) = a2,
    inference(subst,[],[refute_0_377:[bind(X_35,$fot(a2))]]) ).

cnf(refute_0_379,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_380,plain,
    ( a2 != a2
    | inverse(inverse(a2)) = a2 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(a2)),a2) )],[refute_0_378,refute_0_379]) ).

cnf(refute_0_381,plain,
    a2 != a2,
    inference(resolve,[$cnf( $equal(inverse(inverse(a2)),a2) )],[refute_0_380,refute_0_19]) ).

cnf(refute_0_382,plain,
    a2 = a2,
    introduced(tautology,[refl,[$fot(a2)]]) ).

cnf(refute_0_383,plain,
    $false,
    inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_382,refute_0_381]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GRP485-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n028.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 22:53:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.43  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43  
% 0.19/0.43  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.50  
%------------------------------------------------------------------------------