TSTP Solution File: GRP615-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP615-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 10:44:09 EDT 2022
% Result : Unsatisfiable 1.70s 1.89s
% Output : CNFRefutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 106
% Number of leaves : 192
% Syntax : Number of clauses : 732 ( 381 unt; 0 nHn; 330 RR)
% Number of literals : 1251 (1250 equ; 522 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 2046 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = B ).
cnf(multiply,axiom,
multiply(A,B) = inverse(double_divide(B,A)) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
cnf(refute_0_0,plain,
multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))) = inverse(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))),
inference(subst,[],[multiply:[bind(A,$fot(double_divide(X_2,X_4))),bind(B,$fot(multiply(X_4,multiply(inverse(X_3),X_2))))]]) ).
cnf(refute_0_1,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_2,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_3,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) = multiply(A,B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(inverse(double_divide(B,A))))]]) ).
cnf(refute_0_5,plain,
inverse(double_divide(B,A)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[multiply,refute_0_4]) ).
cnf(refute_0_6,plain,
inverse(double_divide(A,inverse(B))) = multiply(inverse(B),A),
inference(subst,[],[refute_0_5:[bind(A,$fot(inverse(B))),bind(B,$fot(A))]]) ).
cnf(refute_0_7,plain,
multiply(C,inverse(double_divide(A,inverse(B)))) = multiply(C,inverse(double_divide(A,inverse(B)))),
introduced(tautology,[refl,[$fot(multiply(C,inverse(double_divide(A,inverse(B)))))]]) ).
cnf(refute_0_8,plain,
( multiply(C,inverse(double_divide(A,inverse(B)))) != multiply(C,inverse(double_divide(A,inverse(B))))
| inverse(double_divide(A,inverse(B))) != multiply(inverse(B),A)
| multiply(C,inverse(double_divide(A,inverse(B)))) = multiply(C,multiply(inverse(B),A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(C,inverse(double_divide(A,inverse(B)))),multiply(C,inverse(double_divide(A,inverse(B))))) ),[1,1],$fot(multiply(inverse(B),A))]]) ).
cnf(refute_0_9,plain,
( inverse(double_divide(A,inverse(B))) != multiply(inverse(B),A)
| multiply(C,inverse(double_divide(A,inverse(B)))) = multiply(C,multiply(inverse(B),A)) ),
inference(resolve,[$cnf( $equal(multiply(C,inverse(double_divide(A,inverse(B)))),multiply(C,inverse(double_divide(A,inverse(B))))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
multiply(C,inverse(double_divide(A,inverse(B)))) = multiply(C,multiply(inverse(B),A)),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,inverse(B))),multiply(inverse(B),A)) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) = multiply(C,inverse(double_divide(A,inverse(B)))),
inference(subst,[],[refute_0_5:[bind(A,$fot(C)),bind(B,$fot(inverse(double_divide(A,inverse(B)))))]]) ).
cnf(refute_0_12,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_13,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_3,refute_0_12]) ).
cnf(refute_0_14,plain,
( multiply(C,inverse(double_divide(A,inverse(B)))) != multiply(C,multiply(inverse(B),A))
| inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) != multiply(C,inverse(double_divide(A,inverse(B))))
| inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) = multiply(C,multiply(inverse(B),A)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)))),bind(Y,$fot(multiply(C,inverse(double_divide(A,inverse(B)))))),bind(Z,$fot(multiply(C,multiply(inverse(B),A))))]]) ).
cnf(refute_0_15,plain,
( multiply(C,inverse(double_divide(A,inverse(B)))) != multiply(C,multiply(inverse(B),A))
| inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) = multiply(C,multiply(inverse(B),A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),multiply(C,inverse(double_divide(A,inverse(B))))) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) = multiply(C,multiply(inverse(B),A)),
inference(resolve,[$cnf( $equal(multiply(C,inverse(double_divide(A,inverse(B)))),multiply(C,multiply(inverse(B),A))) )],[refute_0_10,refute_0_15]) ).
cnf(refute_0_17,plain,
double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)),
introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)))]]) ).
cnf(refute_0_18,plain,
( double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) != double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C))
| inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) != multiply(C,multiply(inverse(B),A))
| double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)),double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C))) ),[1,0],$fot(multiply(C,multiply(inverse(B),A)))]]) ).
cnf(refute_0_19,plain,
( inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) != multiply(C,multiply(inverse(B),A))
| double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)),double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),multiply(C,multiply(inverse(B),A))) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
( double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) != B
| double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) != double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C))
| double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)),B) ),[0],$fot(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)))]]) ).
cnf(refute_0_22,plain,
( double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) != B
| double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)) = B ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)),double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)) = B,
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)),B) )],[single_axiom,refute_0_22]) ).
cnf(refute_0_24,plain,
double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)) = X_3,
inference(subst,[],[refute_0_23:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_25,plain,
( multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))) != inverse(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)))
| double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)) != X_3
| multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))) = inverse(X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))),inverse(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)))) ),[1,0],$fot(X_3)]]) ).
cnf(refute_0_26,plain,
( multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))) != inverse(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)))
| multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))) = inverse(X_3) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)),X_3) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))),inverse(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)))) )],[refute_0_0,refute_0_26]) ).
cnf(refute_0_28,plain,
multiply(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))) = inverse(X_6),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(multiply(C,multiply(inverse(B),A)))),bind(X_3,$fot(X_6)),bind(X_4,$fot(double_divide(A,C)))]]) ).
cnf(refute_0_29,plain,
( multiply(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))) != inverse(X_6)
| double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)) != B
| multiply(B,multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))) = inverse(X_6) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))),inverse(X_6)) ),[0,0],$fot(B)]]) ).
cnf(refute_0_30,plain,
( multiply(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))) != inverse(X_6)
| multiply(B,multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))) = inverse(X_6) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),B) )],[refute_0_23,refute_0_29]) ).
cnf(refute_0_31,plain,
multiply(B,multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))) = inverse(X_6),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))),inverse(X_6)) )],[refute_0_28,refute_0_30]) ).
cnf(refute_0_32,plain,
multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),multiply(inverse(X_6),multiply(double_divide(X_26,X_28),multiply(inverse(B),multiply(X_28,multiply(inverse(inverse(X_6)),X_26))))))) = inverse(X_6),
inference(subst,[],[refute_0_31:[bind(A,$fot(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)))),bind(C,$fot(double_divide(X_26,X_28)))]]) ).
cnf(refute_0_33,plain,
multiply(inverse(X_6),multiply(double_divide(X_26,X_28),multiply(inverse(B),multiply(X_28,multiply(inverse(inverse(X_6)),X_26))))) = inverse(B),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_26)),bind(B,$fot(inverse(X_6))),bind(C,$fot(X_28)),bind(X_6,$fot(B))]]) ).
cnf(refute_0_34,plain,
( multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),multiply(inverse(X_6),multiply(double_divide(X_26,X_28),multiply(inverse(B),multiply(X_28,multiply(inverse(inverse(X_6)),X_26))))))) != inverse(X_6)
| multiply(inverse(X_6),multiply(double_divide(X_26,X_28),multiply(inverse(B),multiply(X_28,multiply(inverse(inverse(X_6)),X_26))))) != inverse(B)
| multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))) = inverse(X_6) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),multiply(inverse(X_6),multiply(double_divide(X_26,X_28),multiply(inverse(B),multiply(X_28,multiply(inverse(inverse(X_6)),X_26))))))),inverse(X_6)) ),[0,1,1],$fot(inverse(B))]]) ).
cnf(refute_0_35,plain,
( multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),multiply(inverse(X_6),multiply(double_divide(X_26,X_28),multiply(inverse(B),multiply(X_28,multiply(inverse(inverse(X_6)),X_26))))))) != inverse(X_6)
| multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))) = inverse(X_6) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_6),multiply(double_divide(X_26,X_28),multiply(inverse(B),multiply(X_28,multiply(inverse(inverse(X_6)),X_26))))),inverse(B)) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))) = inverse(X_6),
inference(resolve,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),multiply(inverse(X_6),multiply(double_divide(X_26,X_28),multiply(inverse(B),multiply(X_28,multiply(inverse(inverse(X_6)),X_26))))))),inverse(X_6)) )],[refute_0_32,refute_0_35]) ).
cnf(refute_0_37,plain,
double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)) = inverse(X_6),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_26)),bind(B,$fot(inverse(X_6))),bind(C,$fot(X_28))]]) ).
cnf(refute_0_38,plain,
multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B)) = multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B)),
introduced(tautology,[refl,[$fot(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B)))]]) ).
cnf(refute_0_39,plain,
( multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B)) != multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))
| double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)) != inverse(X_6)
| multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B)) = multiply(inverse(X_6),inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B)),multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))) ),[1,0],$fot(inverse(X_6))]]) ).
cnf(refute_0_40,plain,
( double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)) != inverse(X_6)
| multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B)) = multiply(inverse(X_6),inverse(B)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B)),multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B)) = multiply(inverse(X_6),inverse(B)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(X_6)) )],[refute_0_37,refute_0_40]) ).
cnf(refute_0_42,plain,
multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))) = multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))),
introduced(tautology,[refl,[$fot(multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))))]]) ).
cnf(refute_0_43,plain,
( multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))) != multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B)))
| multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B)) != multiply(inverse(X_6),inverse(B))
| multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))) = multiply(B,multiply(inverse(X_6),inverse(B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))),multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B)))) ),[1,1],$fot(multiply(inverse(X_6),inverse(B)))]]) ).
cnf(refute_0_44,plain,
( multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B)) != multiply(inverse(X_6),inverse(B))
| multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))) = multiply(B,multiply(inverse(X_6),inverse(B))) ),
inference(resolve,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))),multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B)))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))) = multiply(B,multiply(inverse(X_6),inverse(B))),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B)),multiply(inverse(X_6),inverse(B))) )],[refute_0_41,refute_0_44]) ).
cnf(refute_0_46,plain,
( multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))) != multiply(B,multiply(inverse(X_6),inverse(B)))
| multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))) != inverse(X_6)
| multiply(B,multiply(inverse(X_6),inverse(B))) = inverse(X_6) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))),inverse(X_6)) ),[0],$fot(multiply(B,multiply(inverse(X_6),inverse(B))))]]) ).
cnf(refute_0_47,plain,
( multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))) != inverse(X_6)
| multiply(B,multiply(inverse(X_6),inverse(B))) = inverse(X_6) ),
inference(resolve,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))),multiply(B,multiply(inverse(X_6),inverse(B)))) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(B,multiply(inverse(X_6),inverse(B))) = inverse(X_6),
inference(resolve,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_6)),X_26)),double_divide(X_26,X_28)),inverse(B))),inverse(X_6)) )],[refute_0_36,refute_0_47]) ).
cnf(refute_0_49,plain,
multiply(B,multiply(inverse(inverse(X_114)),inverse(B))) = inverse(inverse(X_114)),
inference(subst,[],[refute_0_48:[bind(X_6,$fot(inverse(X_114)))]]) ).
cnf(refute_0_50,plain,
double_divide(multiply(X_4,multiply(inverse(double_divide(B,A)),X_2)),double_divide(X_2,X_4)) = double_divide(B,A),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_2)),bind(B,$fot(double_divide(B,A))),bind(C,$fot(X_4))]]) ).
cnf(refute_0_51,plain,
( double_divide(multiply(X_4,multiply(inverse(double_divide(B,A)),X_2)),double_divide(X_2,X_4)) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(X_4,multiply(multiply(A,B),X_2)),double_divide(X_2,X_4)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_4,multiply(inverse(double_divide(B,A)),X_2)),double_divide(X_2,X_4)),double_divide(B,A)) ),[0,0,1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_52,plain,
( double_divide(multiply(X_4,multiply(inverse(double_divide(B,A)),X_2)),double_divide(X_2,X_4)) != double_divide(B,A)
| double_divide(multiply(X_4,multiply(multiply(A,B),X_2)),double_divide(X_2,X_4)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_51]) ).
cnf(refute_0_53,plain,
double_divide(multiply(X_4,multiply(multiply(A,B),X_2)),double_divide(X_2,X_4)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_4,multiply(inverse(double_divide(B,A)),X_2)),double_divide(X_2,X_4)),double_divide(B,A)) )],[refute_0_50,refute_0_52]) ).
cnf(refute_0_54,plain,
double_divide(multiply(double_divide(A,C),multiply(multiply(X_8,X_9),multiply(C,multiply(inverse(B),A)))),double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C))) = double_divide(X_9,X_8),
inference(subst,[],[refute_0_53:[bind(A,$fot(X_8)),bind(B,$fot(X_9)),bind(X_2,$fot(multiply(C,multiply(inverse(B),A)))),bind(X_4,$fot(double_divide(A,C)))]]) ).
cnf(refute_0_55,plain,
( double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)) != B
| double_divide(multiply(double_divide(A,C),multiply(multiply(X_8,X_9),multiply(C,multiply(inverse(B),A)))),double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C))) != double_divide(X_9,X_8)
| double_divide(multiply(double_divide(A,C),multiply(multiply(X_8,X_9),multiply(C,multiply(inverse(B),A)))),B) = double_divide(X_9,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(A,C),multiply(multiply(X_8,X_9),multiply(C,multiply(inverse(B),A)))),double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C))),double_divide(X_9,X_8)) ),[0,1],$fot(B)]]) ).
cnf(refute_0_56,plain,
( double_divide(multiply(double_divide(A,C),multiply(multiply(X_8,X_9),multiply(C,multiply(inverse(B),A)))),double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C))) != double_divide(X_9,X_8)
| double_divide(multiply(double_divide(A,C),multiply(multiply(X_8,X_9),multiply(C,multiply(inverse(B),A)))),B) = double_divide(X_9,X_8) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),B) )],[refute_0_23,refute_0_55]) ).
cnf(refute_0_57,plain,
double_divide(multiply(double_divide(A,C),multiply(multiply(X_8,X_9),multiply(C,multiply(inverse(B),A)))),B) = double_divide(X_9,X_8),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(A,C),multiply(multiply(X_8,X_9),multiply(C,multiply(inverse(B),A)))),double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C))),double_divide(X_9,X_8)) )],[refute_0_54,refute_0_56]) ).
cnf(refute_0_58,plain,
double_divide(multiply(double_divide(A,C),multiply(multiply(inverse(X_109),multiply(X_108,inverse(X_108))),multiply(C,multiply(inverse(B),A)))),B) = double_divide(multiply(X_108,inverse(X_108)),inverse(X_109)),
inference(subst,[],[refute_0_57:[bind(X_8,$fot(inverse(X_109))),bind(X_9,$fot(multiply(X_108,inverse(X_108))))]]) ).
cnf(refute_0_59,plain,
multiply(double_divide(inverse(X_107),X_107),multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107)))) = inverse(X_6),
inference(subst,[],[refute_0_48:[bind(B,$fot(double_divide(inverse(X_107),X_107)))]]) ).
cnf(refute_0_60,plain,
multiply(double_divide(inverse(X_4),X_4),multiply(X_4,multiply(inverse(X_3),inverse(X_4)))) = inverse(X_3),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(inverse(X_4)))]]) ).
cnf(refute_0_61,plain,
multiply(X_4,multiply(inverse(X_3),inverse(X_4))) = inverse(X_3),
inference(subst,[],[refute_0_48:[bind(B,$fot(X_4)),bind(X_6,$fot(X_3))]]) ).
cnf(refute_0_62,plain,
( multiply(X_4,multiply(inverse(X_3),inverse(X_4))) != inverse(X_3)
| multiply(double_divide(inverse(X_4),X_4),multiply(X_4,multiply(inverse(X_3),inverse(X_4)))) != inverse(X_3)
| multiply(double_divide(inverse(X_4),X_4),inverse(X_3)) = inverse(X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_4),X_4),multiply(X_4,multiply(inverse(X_3),inverse(X_4)))),inverse(X_3)) ),[0,1],$fot(inverse(X_3))]]) ).
cnf(refute_0_63,plain,
( multiply(double_divide(inverse(X_4),X_4),multiply(X_4,multiply(inverse(X_3),inverse(X_4)))) != inverse(X_3)
| multiply(double_divide(inverse(X_4),X_4),inverse(X_3)) = inverse(X_3) ),
inference(resolve,[$cnf( $equal(multiply(X_4,multiply(inverse(X_3),inverse(X_4))),inverse(X_3)) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
multiply(double_divide(inverse(X_4),X_4),inverse(X_3)) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_4),X_4),multiply(X_4,multiply(inverse(X_3),inverse(X_4)))),inverse(X_3)) )],[refute_0_60,refute_0_63]) ).
cnf(refute_0_65,plain,
multiply(double_divide(inverse(X_37),X_37),inverse(double_divide(B,A))) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_64:[bind(X_3,$fot(double_divide(B,A))),bind(X_4,$fot(X_37))]]) ).
cnf(refute_0_66,plain,
( multiply(double_divide(inverse(X_37),X_37),inverse(double_divide(B,A))) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(double_divide(inverse(X_37),X_37),multiply(A,B)) = inverse(double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_37),X_37),inverse(double_divide(B,A))),inverse(double_divide(B,A))) ),[0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_67,plain,
( multiply(double_divide(inverse(X_37),X_37),inverse(double_divide(B,A))) != inverse(double_divide(B,A))
| multiply(double_divide(inverse(X_37),X_37),multiply(A,B)) = inverse(double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_66]) ).
cnf(refute_0_68,plain,
multiply(double_divide(inverse(X_37),X_37),multiply(A,B)) = inverse(double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_37),X_37),inverse(double_divide(B,A))),inverse(double_divide(B,A))) )],[refute_0_65,refute_0_67]) ).
cnf(refute_0_69,plain,
( multiply(double_divide(inverse(X_37),X_37),multiply(A,B)) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(double_divide(inverse(X_37),X_37),multiply(A,B)) = multiply(A,B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(inverse(X_37),X_37),multiply(A,B)),multiply(A,B)) ),[0],$fot(inverse(double_divide(B,A)))]]) ).
cnf(refute_0_70,plain,
( multiply(double_divide(inverse(X_37),X_37),multiply(A,B)) != inverse(double_divide(B,A))
| multiply(double_divide(inverse(X_37),X_37),multiply(A,B)) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_69]) ).
cnf(refute_0_71,plain,
multiply(double_divide(inverse(X_37),X_37),multiply(A,B)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_37),X_37),multiply(A,B)),inverse(double_divide(B,A))) )],[refute_0_68,refute_0_70]) ).
cnf(refute_0_72,plain,
multiply(double_divide(inverse(X_107),X_107),multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107)))) = multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107))),
inference(subst,[],[refute_0_71:[bind(A,$fot(inverse(X_6))),bind(B,$fot(inverse(double_divide(inverse(X_107),X_107)))),bind(X_37,$fot(X_107))]]) ).
cnf(refute_0_73,plain,
( multiply(double_divide(inverse(X_107),X_107),multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107)))) != multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107)))
| multiply(double_divide(inverse(X_107),X_107),multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107)))) != inverse(X_6)
| multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107))) = inverse(X_6) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_107),X_107),multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107)))),inverse(X_6)) ),[0],$fot(multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107))))]]) ).
cnf(refute_0_74,plain,
( multiply(double_divide(inverse(X_107),X_107),multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107)))) != inverse(X_6)
| multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107))) = inverse(X_6) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_107),X_107),multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107)))),multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107)))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107))) = inverse(X_6),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_107),X_107),multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107)))),inverse(X_6)) )],[refute_0_59,refute_0_74]) ).
cnf(refute_0_76,plain,
inverse(double_divide(inverse(X_107),X_107)) = multiply(X_107,inverse(X_107)),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_107)),bind(B,$fot(inverse(X_107)))]]) ).
cnf(refute_0_77,plain,
multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107))) = multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107))))]]) ).
cnf(refute_0_78,plain,
( multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107))) != multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107)))
| inverse(double_divide(inverse(X_107),X_107)) != multiply(X_107,inverse(X_107))
| multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107))) = multiply(inverse(X_6),multiply(X_107,inverse(X_107))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107))),multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107)))) ),[1,1],$fot(multiply(X_107,inverse(X_107)))]]) ).
cnf(refute_0_79,plain,
( inverse(double_divide(inverse(X_107),X_107)) != multiply(X_107,inverse(X_107))
| multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107))) = multiply(inverse(X_6),multiply(X_107,inverse(X_107))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107))),multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107)))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107))) = multiply(inverse(X_6),multiply(X_107,inverse(X_107))),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_107),X_107)),multiply(X_107,inverse(X_107))) )],[refute_0_76,refute_0_79]) ).
cnf(refute_0_81,plain,
( multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107))) != multiply(inverse(X_6),multiply(X_107,inverse(X_107)))
| multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107))) != inverse(X_6)
| multiply(inverse(X_6),multiply(X_107,inverse(X_107))) = inverse(X_6) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107))),inverse(X_6)) ),[0],$fot(multiply(inverse(X_6),multiply(X_107,inverse(X_107))))]]) ).
cnf(refute_0_82,plain,
( multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107))) != inverse(X_6)
| multiply(inverse(X_6),multiply(X_107,inverse(X_107))) = inverse(X_6) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107))),multiply(inverse(X_6),multiply(X_107,inverse(X_107)))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
multiply(inverse(X_6),multiply(X_107,inverse(X_107))) = inverse(X_6),
inference(resolve,[$cnf( $equal(multiply(inverse(X_6),inverse(double_divide(inverse(X_107),X_107))),inverse(X_6)) )],[refute_0_75,refute_0_82]) ).
cnf(refute_0_84,plain,
multiply(inverse(X_109),multiply(X_108,inverse(X_108))) = inverse(X_109),
inference(subst,[],[refute_0_83:[bind(X_107,$fot(X_108)),bind(X_6,$fot(X_109))]]) ).
cnf(refute_0_85,plain,
( multiply(inverse(X_109),multiply(X_108,inverse(X_108))) != inverse(X_109)
| double_divide(multiply(double_divide(A,C),multiply(multiply(inverse(X_109),multiply(X_108,inverse(X_108))),multiply(C,multiply(inverse(B),A)))),B) != double_divide(multiply(X_108,inverse(X_108)),inverse(X_109))
| double_divide(multiply(double_divide(A,C),multiply(inverse(X_109),multiply(C,multiply(inverse(B),A)))),B) = double_divide(multiply(X_108,inverse(X_108)),inverse(X_109)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(A,C),multiply(multiply(inverse(X_109),multiply(X_108,inverse(X_108))),multiply(C,multiply(inverse(B),A)))),B),double_divide(multiply(X_108,inverse(X_108)),inverse(X_109))) ),[0,0,1,0],$fot(inverse(X_109))]]) ).
cnf(refute_0_86,plain,
( double_divide(multiply(double_divide(A,C),multiply(multiply(inverse(X_109),multiply(X_108,inverse(X_108))),multiply(C,multiply(inverse(B),A)))),B) != double_divide(multiply(X_108,inverse(X_108)),inverse(X_109))
| double_divide(multiply(double_divide(A,C),multiply(inverse(X_109),multiply(C,multiply(inverse(B),A)))),B) = double_divide(multiply(X_108,inverse(X_108)),inverse(X_109)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_109),multiply(X_108,inverse(X_108))),inverse(X_109)) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
double_divide(multiply(double_divide(A,C),multiply(inverse(X_109),multiply(C,multiply(inverse(B),A)))),B) = double_divide(multiply(X_108,inverse(X_108)),inverse(X_109)),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(A,C),multiply(multiply(inverse(X_109),multiply(X_108,inverse(X_108))),multiply(C,multiply(inverse(B),A)))),B),double_divide(multiply(X_108,inverse(X_108)),inverse(X_109))) )],[refute_0_58,refute_0_86]) ).
cnf(refute_0_88,plain,
double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))) = B,
inference(subst,[],[refute_0_23:[bind(A,$fot(multiply(X_4,multiply(inverse(X_3),X_2)))),bind(C,$fot(double_divide(X_2,X_4)))]]) ).
cnf(refute_0_89,plain,
( double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)) != X_3
| double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))) != B
| double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),X_3) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))),B) ),[0,1],$fot(X_3)]]) ).
cnf(refute_0_90,plain,
( double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))) != B
| double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),X_3) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)),X_3) )],[refute_0_24,refute_0_89]) ).
cnf(refute_0_91,plain,
double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),X_3) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))),B) )],[refute_0_88,refute_0_90]) ).
cnf(refute_0_92,plain,
double_divide(multiply(double_divide(A,C),multiply(inverse(X_109),multiply(C,multiply(inverse(B),A)))),B) = X_109,
inference(subst,[],[refute_0_91:[bind(B,$fot(X_109)),bind(X_2,$fot(A)),bind(X_3,$fot(B)),bind(X_4,$fot(C))]]) ).
cnf(refute_0_93,plain,
( double_divide(multiply(double_divide(A,C),multiply(inverse(X_109),multiply(C,multiply(inverse(B),A)))),B) != X_109
| double_divide(multiply(double_divide(A,C),multiply(inverse(X_109),multiply(C,multiply(inverse(B),A)))),B) != double_divide(multiply(X_108,inverse(X_108)),inverse(X_109))
| X_109 = double_divide(multiply(X_108,inverse(X_108)),inverse(X_109)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(A,C),multiply(inverse(X_109),multiply(C,multiply(inverse(B),A)))),B),double_divide(multiply(X_108,inverse(X_108)),inverse(X_109))) ),[0],$fot(X_109)]]) ).
cnf(refute_0_94,plain,
( double_divide(multiply(double_divide(A,C),multiply(inverse(X_109),multiply(C,multiply(inverse(B),A)))),B) != double_divide(multiply(X_108,inverse(X_108)),inverse(X_109))
| X_109 = double_divide(multiply(X_108,inverse(X_108)),inverse(X_109)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(A,C),multiply(inverse(X_109),multiply(C,multiply(inverse(B),A)))),B),X_109) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
X_109 = double_divide(multiply(X_108,inverse(X_108)),inverse(X_109)),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(A,C),multiply(inverse(X_109),multiply(C,multiply(inverse(B),A)))),B),double_divide(multiply(X_108,inverse(X_108)),inverse(X_109))) )],[refute_0_87,refute_0_94]) ).
cnf(refute_0_96,plain,
X_109 = double_divide(multiply(inverse(inverse(X_109)),inverse(inverse(inverse(X_109)))),inverse(X_109)),
inference(subst,[],[refute_0_95:[bind(X_108,$fot(inverse(inverse(X_109))))]]) ).
cnf(refute_0_97,plain,
double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_30),inverse(C)))),double_divide(multiply(inverse(X_30),inverse(C)),C)) = B,
inference(subst,[],[refute_0_23:[bind(A,$fot(multiply(inverse(X_30),inverse(C))))]]) ).
cnf(refute_0_98,plain,
double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),multiply(inverse(B),multiply(double_divide(X_26,X_28),multiply(inverse(X_3),multiply(X_28,multiply(inverse(inverse(B)),X_26)))))),X_3) = B,
inference(subst,[],[refute_0_91:[bind(X_2,$fot(multiply(X_28,multiply(inverse(inverse(B)),X_26)))),bind(X_4,$fot(double_divide(X_26,X_28)))]]) ).
cnf(refute_0_99,plain,
multiply(inverse(B),multiply(double_divide(X_26,X_28),multiply(inverse(X_3),multiply(X_28,multiply(inverse(inverse(B)),X_26))))) = inverse(X_3),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_26)),bind(B,$fot(inverse(B))),bind(C,$fot(X_28)),bind(X_6,$fot(X_3))]]) ).
cnf(refute_0_100,plain,
( multiply(inverse(B),multiply(double_divide(X_26,X_28),multiply(inverse(X_3),multiply(X_28,multiply(inverse(inverse(B)),X_26))))) != inverse(X_3)
| double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),multiply(inverse(B),multiply(double_divide(X_26,X_28),multiply(inverse(X_3),multiply(X_28,multiply(inverse(inverse(B)),X_26)))))),X_3) != B
| double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),multiply(inverse(B),multiply(double_divide(X_26,X_28),multiply(inverse(X_3),multiply(X_28,multiply(inverse(inverse(B)),X_26)))))),X_3),B) ),[0,0,1],$fot(inverse(X_3))]]) ).
cnf(refute_0_101,plain,
( double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),multiply(inverse(B),multiply(double_divide(X_26,X_28),multiply(inverse(X_3),multiply(X_28,multiply(inverse(inverse(B)),X_26)))))),X_3) != B
| double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) = B ),
inference(resolve,[$cnf( $equal(multiply(inverse(B),multiply(double_divide(X_26,X_28),multiply(inverse(X_3),multiply(X_28,multiply(inverse(inverse(B)),X_26))))),inverse(X_3)) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),multiply(inverse(B),multiply(double_divide(X_26,X_28),multiply(inverse(X_3),multiply(X_28,multiply(inverse(inverse(B)),X_26)))))),X_3),B) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)) = inverse(B),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_26)),bind(B,$fot(inverse(B))),bind(C,$fot(X_28))]]) ).
cnf(refute_0_104,plain,
multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)) = multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),
introduced(tautology,[refl,[$fot(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)))]]) ).
cnf(refute_0_105,plain,
( multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)) != multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3))
| double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)) != inverse(B)
| multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)) = multiply(inverse(B),inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3))) ),[1,0],$fot(inverse(B))]]) ).
cnf(refute_0_106,plain,
( double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)) != inverse(B)
| multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)) = multiply(inverse(B),inverse(X_3)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)) = multiply(inverse(B),inverse(X_3)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(B)) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) = double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3),
introduced(tautology,[refl,[$fot(double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3))]]) ).
cnf(refute_0_109,plain,
( multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)) != multiply(inverse(B),inverse(X_3))
| double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) != double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3)
| double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) = double_divide(multiply(inverse(B),inverse(X_3)),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3),double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3)) ),[1,0],$fot(multiply(inverse(B),inverse(X_3)))]]) ).
cnf(refute_0_110,plain,
( multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)) != multiply(inverse(B),inverse(X_3))
| double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) = double_divide(multiply(inverse(B),inverse(X_3)),X_3) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3),double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3)) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) = double_divide(multiply(inverse(B),inverse(X_3)),X_3),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),multiply(inverse(B),inverse(X_3))) )],[refute_0_107,refute_0_110]) ).
cnf(refute_0_112,plain,
( double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) != B
| double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) != double_divide(multiply(inverse(B),inverse(X_3)),X_3)
| double_divide(multiply(inverse(B),inverse(X_3)),X_3) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3),B) ),[0],$fot(double_divide(multiply(inverse(B),inverse(X_3)),X_3))]]) ).
cnf(refute_0_113,plain,
( double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) != B
| double_divide(multiply(inverse(B),inverse(X_3)),X_3) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3),double_divide(multiply(inverse(B),inverse(X_3)),X_3)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
double_divide(multiply(inverse(B),inverse(X_3)),X_3) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3),B) )],[refute_0_102,refute_0_113]) ).
cnf(refute_0_115,plain,
double_divide(multiply(inverse(X_30),inverse(C)),C) = X_30,
inference(subst,[],[refute_0_114:[bind(B,$fot(X_30)),bind(X_3,$fot(C))]]) ).
cnf(refute_0_116,plain,
( double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_30),inverse(C)))),double_divide(multiply(inverse(X_30),inverse(C)),C)) != B
| double_divide(multiply(inverse(X_30),inverse(C)),C) != X_30
| double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_30),inverse(C)))),X_30) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_30),inverse(C)))),double_divide(multiply(inverse(X_30),inverse(C)),C)),B) ),[0,1],$fot(X_30)]]) ).
cnf(refute_0_117,plain,
( double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_30),inverse(C)))),double_divide(multiply(inverse(X_30),inverse(C)),C)) != B
| double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_30),inverse(C)))),X_30) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_30),inverse(C)),C),X_30) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_30),inverse(C)))),X_30) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_30),inverse(C)))),double_divide(multiply(inverse(X_30),inverse(C)),C)),B) )],[refute_0_97,refute_0_117]) ).
cnf(refute_0_119,plain,
double_divide(multiply(inverse(X_30),multiply(inverse(B),multiply(inverse(X_30),inverse(inverse(X_30))))),X_30) = B,
inference(subst,[],[refute_0_118:[bind(C,$fot(inverse(X_30)))]]) ).
cnf(refute_0_120,plain,
multiply(inverse(B),multiply(inverse(X_30),inverse(inverse(X_30)))) = inverse(B),
inference(subst,[],[refute_0_83:[bind(X_107,$fot(inverse(X_30))),bind(X_6,$fot(B))]]) ).
cnf(refute_0_121,plain,
( multiply(inverse(B),multiply(inverse(X_30),inverse(inverse(X_30)))) != inverse(B)
| double_divide(multiply(inverse(X_30),multiply(inverse(B),multiply(inverse(X_30),inverse(inverse(X_30))))),X_30) != B
| double_divide(multiply(inverse(X_30),inverse(B)),X_30) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_30),multiply(inverse(B),multiply(inverse(X_30),inverse(inverse(X_30))))),X_30),B) ),[0,0,1],$fot(inverse(B))]]) ).
cnf(refute_0_122,plain,
( double_divide(multiply(inverse(X_30),multiply(inverse(B),multiply(inverse(X_30),inverse(inverse(X_30))))),X_30) != B
| double_divide(multiply(inverse(X_30),inverse(B)),X_30) = B ),
inference(resolve,[$cnf( $equal(multiply(inverse(B),multiply(inverse(X_30),inverse(inverse(X_30)))),inverse(B)) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
double_divide(multiply(inverse(X_30),inverse(B)),X_30) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_30),multiply(inverse(B),multiply(inverse(X_30),inverse(inverse(X_30))))),X_30),B) )],[refute_0_119,refute_0_122]) ).
cnf(refute_0_124,plain,
double_divide(multiply(inverse(inverse(X_109)),inverse(inverse(inverse(X_109)))),inverse(X_109)) = inverse(inverse(X_109)),
inference(subst,[],[refute_0_123:[bind(B,$fot(inverse(inverse(X_109)))),bind(X_30,$fot(inverse(X_109)))]]) ).
cnf(refute_0_125,plain,
( X_109 != double_divide(multiply(inverse(inverse(X_109)),inverse(inverse(inverse(X_109)))),inverse(X_109))
| double_divide(multiply(inverse(inverse(X_109)),inverse(inverse(inverse(X_109)))),inverse(X_109)) != inverse(inverse(X_109))
| X_109 = inverse(inverse(X_109)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_109,inverse(inverse(X_109))) ),[0],$fot(double_divide(multiply(inverse(inverse(X_109)),inverse(inverse(inverse(X_109)))),inverse(X_109)))]]) ).
cnf(refute_0_126,plain,
( X_109 != double_divide(multiply(inverse(inverse(X_109)),inverse(inverse(inverse(X_109)))),inverse(X_109))
| X_109 = inverse(inverse(X_109)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(inverse(X_109)),inverse(inverse(inverse(X_109)))),inverse(X_109)),inverse(inverse(X_109))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
X_109 = inverse(inverse(X_109)),
inference(resolve,[$cnf( $equal(X_109,double_divide(multiply(inverse(inverse(X_109)),inverse(inverse(inverse(X_109)))),inverse(X_109))) )],[refute_0_96,refute_0_126]) ).
cnf(refute_0_128,plain,
X_114 = inverse(inverse(X_114)),
inference(subst,[],[refute_0_127:[bind(X_109,$fot(X_114))]]) ).
cnf(refute_0_129,plain,
( X_114 != inverse(inverse(X_114))
| inverse(inverse(X_114)) = X_114 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_114)),bind(Y,$fot(inverse(inverse(X_114))))]]) ).
cnf(refute_0_130,plain,
inverse(inverse(X_114)) = X_114,
inference(resolve,[$cnf( $equal(X_114,inverse(inverse(X_114))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
( multiply(B,multiply(inverse(inverse(X_114)),inverse(B))) != inverse(inverse(X_114))
| inverse(inverse(X_114)) != X_114
| multiply(B,multiply(X_114,inverse(B))) = inverse(inverse(X_114)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,multiply(inverse(inverse(X_114)),inverse(B))),inverse(inverse(X_114))) ),[0,1,0],$fot(X_114)]]) ).
cnf(refute_0_132,plain,
( multiply(B,multiply(inverse(inverse(X_114)),inverse(B))) != inverse(inverse(X_114))
| multiply(B,multiply(X_114,inverse(B))) = inverse(inverse(X_114)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_114)),X_114) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
multiply(B,multiply(X_114,inverse(B))) = inverse(inverse(X_114)),
inference(resolve,[$cnf( $equal(multiply(B,multiply(inverse(inverse(X_114)),inverse(B))),inverse(inverse(X_114))) )],[refute_0_49,refute_0_132]) ).
cnf(refute_0_134,plain,
( multiply(B,multiply(X_114,inverse(B))) != inverse(inverse(X_114))
| inverse(inverse(X_114)) != X_114
| multiply(B,multiply(X_114,inverse(B))) = X_114 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(B,multiply(X_114,inverse(B))),X_114) ),[0],$fot(inverse(inverse(X_114)))]]) ).
cnf(refute_0_135,plain,
( multiply(B,multiply(X_114,inverse(B))) != inverse(inverse(X_114))
| multiply(B,multiply(X_114,inverse(B))) = X_114 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_114)),X_114) )],[refute_0_130,refute_0_134]) ).
cnf(refute_0_136,plain,
multiply(B,multiply(X_114,inverse(B))) = X_114,
inference(resolve,[$cnf( $equal(multiply(B,multiply(X_114,inverse(B))),inverse(inverse(X_114))) )],[refute_0_133,refute_0_135]) ).
cnf(refute_0_137,plain,
multiply(inverse(X_109),multiply(X_122,inverse(inverse(X_109)))) = X_122,
inference(subst,[],[refute_0_136:[bind(B,$fot(inverse(X_109))),bind(X_114,$fot(X_122))]]) ).
cnf(refute_0_138,plain,
( X_109 != inverse(inverse(X_109))
| inverse(inverse(X_109)) = X_109 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_109)),bind(Y,$fot(inverse(inverse(X_109))))]]) ).
cnf(refute_0_139,plain,
inverse(inverse(X_109)) = X_109,
inference(resolve,[$cnf( $equal(X_109,inverse(inverse(X_109))) )],[refute_0_127,refute_0_138]) ).
cnf(refute_0_140,plain,
( multiply(inverse(X_109),multiply(X_122,inverse(inverse(X_109)))) != X_122
| inverse(inverse(X_109)) != X_109
| multiply(inverse(X_109),multiply(X_122,X_109)) = X_122 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_109),multiply(X_122,inverse(inverse(X_109)))),X_122) ),[0,1,1],$fot(X_109)]]) ).
cnf(refute_0_141,plain,
( multiply(inverse(X_109),multiply(X_122,inverse(inverse(X_109)))) != X_122
| multiply(inverse(X_109),multiply(X_122,X_109)) = X_122 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_109)),X_109) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
multiply(inverse(X_109),multiply(X_122,X_109)) = X_122,
inference(resolve,[$cnf( $equal(multiply(inverse(X_109),multiply(X_122,inverse(inverse(X_109)))),X_122) )],[refute_0_137,refute_0_141]) ).
cnf(refute_0_143,plain,
multiply(inverse(X_109),multiply(double_divide(X_131,X_109),X_109)) = double_divide(X_131,X_109),
inference(subst,[],[refute_0_142:[bind(X_122,$fot(double_divide(X_131,X_109)))]]) ).
cnf(refute_0_144,plain,
multiply(inverse(multiply(X_126,X_125)),multiply(inverse(X_125),multiply(X_126,X_125))) = inverse(X_125),
inference(subst,[],[refute_0_142:[bind(X_109,$fot(multiply(X_126,X_125))),bind(X_122,$fot(inverse(X_125)))]]) ).
cnf(refute_0_145,plain,
multiply(inverse(X_125),multiply(X_126,X_125)) = X_126,
inference(subst,[],[refute_0_142:[bind(X_109,$fot(X_125)),bind(X_122,$fot(X_126))]]) ).
cnf(refute_0_146,plain,
( multiply(inverse(X_125),multiply(X_126,X_125)) != X_126
| multiply(inverse(multiply(X_126,X_125)),multiply(inverse(X_125),multiply(X_126,X_125))) != inverse(X_125)
| multiply(inverse(multiply(X_126,X_125)),X_126) = inverse(X_125) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_126,X_125)),multiply(inverse(X_125),multiply(X_126,X_125))),inverse(X_125)) ),[0,1],$fot(X_126)]]) ).
cnf(refute_0_147,plain,
( multiply(inverse(multiply(X_126,X_125)),multiply(inverse(X_125),multiply(X_126,X_125))) != inverse(X_125)
| multiply(inverse(multiply(X_126,X_125)),X_126) = inverse(X_125) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_125),multiply(X_126,X_125)),X_126) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
multiply(inverse(multiply(X_126,X_125)),X_126) = inverse(X_125),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_126,X_125)),multiply(inverse(X_125),multiply(X_126,X_125))),inverse(X_125)) )],[refute_0_144,refute_0_147]) ).
cnf(refute_0_149,plain,
double_divide(multiply(double_divide(X_2,multiply(X_8,X_9)),multiply(multiply(X_8,X_9),multiply(inverse(X_3),X_2))),double_divide(multiply(inverse(X_3),X_2),double_divide(X_2,multiply(X_8,X_9)))) = double_divide(X_9,X_8),
inference(subst,[],[refute_0_53:[bind(A,$fot(X_8)),bind(B,$fot(X_9)),bind(X_2,$fot(multiply(inverse(X_3),X_2))),bind(X_4,$fot(double_divide(X_2,multiply(X_8,X_9))))]]) ).
cnf(refute_0_150,plain,
multiply(double_divide(X_2,multiply(X_8,X_9)),multiply(multiply(X_8,X_9),multiply(inverse(X_3),X_2))) = inverse(X_3),
inference(subst,[],[refute_0_27:[bind(X_4,$fot(multiply(X_8,X_9)))]]) ).
cnf(refute_0_151,plain,
( multiply(double_divide(X_2,multiply(X_8,X_9)),multiply(multiply(X_8,X_9),multiply(inverse(X_3),X_2))) != inverse(X_3)
| double_divide(multiply(double_divide(X_2,multiply(X_8,X_9)),multiply(multiply(X_8,X_9),multiply(inverse(X_3),X_2))),double_divide(multiply(inverse(X_3),X_2),double_divide(X_2,multiply(X_8,X_9)))) != double_divide(X_9,X_8)
| double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),X_2),double_divide(X_2,multiply(X_8,X_9)))) = double_divide(X_9,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(X_2,multiply(X_8,X_9)),multiply(multiply(X_8,X_9),multiply(inverse(X_3),X_2))),double_divide(multiply(inverse(X_3),X_2),double_divide(X_2,multiply(X_8,X_9)))),double_divide(X_9,X_8)) ),[0,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_152,plain,
( double_divide(multiply(double_divide(X_2,multiply(X_8,X_9)),multiply(multiply(X_8,X_9),multiply(inverse(X_3),X_2))),double_divide(multiply(inverse(X_3),X_2),double_divide(X_2,multiply(X_8,X_9)))) != double_divide(X_9,X_8)
| double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),X_2),double_divide(X_2,multiply(X_8,X_9)))) = double_divide(X_9,X_8) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_2,multiply(X_8,X_9)),multiply(multiply(X_8,X_9),multiply(inverse(X_3),X_2))),inverse(X_3)) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),X_2),double_divide(X_2,multiply(X_8,X_9)))) = double_divide(X_9,X_8),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_2,multiply(X_8,X_9)),multiply(multiply(X_8,X_9),multiply(inverse(X_3),X_2))),double_divide(multiply(inverse(X_3),X_2),double_divide(X_2,multiply(X_8,X_9)))),double_divide(X_9,X_8)) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),multiply(inverse(multiply(X_8,X_9)),inverse(X_112))),double_divide(multiply(inverse(multiply(X_8,X_9)),inverse(X_112)),multiply(X_8,X_9)))) = double_divide(X_9,X_8),
inference(subst,[],[refute_0_153:[bind(X_2,$fot(multiply(inverse(multiply(X_8,X_9)),inverse(X_112))))]]) ).
cnf(refute_0_155,plain,
double_divide(multiply(inverse(multiply(X_8,X_9)),inverse(X_112)),multiply(X_8,X_9)) = X_112,
inference(subst,[],[refute_0_123:[bind(B,$fot(X_112)),bind(X_30,$fot(multiply(X_8,X_9)))]]) ).
cnf(refute_0_156,plain,
( double_divide(multiply(inverse(multiply(X_8,X_9)),inverse(X_112)),multiply(X_8,X_9)) != X_112
| double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),multiply(inverse(multiply(X_8,X_9)),inverse(X_112))),double_divide(multiply(inverse(multiply(X_8,X_9)),inverse(X_112)),multiply(X_8,X_9)))) != double_divide(X_9,X_8)
| double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),multiply(inverse(multiply(X_8,X_9)),inverse(X_112))),X_112)) = double_divide(X_9,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),multiply(inverse(multiply(X_8,X_9)),inverse(X_112))),double_divide(multiply(inverse(multiply(X_8,X_9)),inverse(X_112)),multiply(X_8,X_9)))),double_divide(X_9,X_8)) ),[0,1,1],$fot(X_112)]]) ).
cnf(refute_0_157,plain,
( double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),multiply(inverse(multiply(X_8,X_9)),inverse(X_112))),double_divide(multiply(inverse(multiply(X_8,X_9)),inverse(X_112)),multiply(X_8,X_9)))) != double_divide(X_9,X_8)
| double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),multiply(inverse(multiply(X_8,X_9)),inverse(X_112))),X_112)) = double_divide(X_9,X_8) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(multiply(X_8,X_9)),inverse(X_112)),multiply(X_8,X_9)),X_112) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),multiply(inverse(multiply(X_8,X_9)),inverse(X_112))),X_112)) = double_divide(X_9,X_8),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),multiply(inverse(multiply(X_8,X_9)),inverse(X_112))),double_divide(multiply(inverse(multiply(X_8,X_9)),inverse(X_112)),multiply(X_8,X_9)))),double_divide(X_9,X_8)) )],[refute_0_154,refute_0_157]) ).
cnf(refute_0_159,plain,
double_divide(multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))) = B,
inference(subst,[],[refute_0_23:[bind(A,$fot(multiply(inverse(X_6),X_5))),bind(C,$fot(double_divide(X_5,inverse(B))))]]) ).
cnf(refute_0_160,plain,
multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))) = inverse(X_6),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(X_5)),bind(X_3,$fot(X_6)),bind(X_4,$fot(inverse(B)))]]) ).
cnf(refute_0_161,plain,
( multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))) != inverse(X_6)
| double_divide(multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))) != B
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))),B) ),[0,0],$fot(inverse(X_6))]]) ).
cnf(refute_0_162,plain,
( double_divide(multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))) != B
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))) = B ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))),inverse(X_6)) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))),B) )],[refute_0_159,refute_0_162]) ).
cnf(refute_0_164,plain,
double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),double_divide(multiply(inverse(inverse(B)),inverse(X_112)),inverse(B)))) = B,
inference(subst,[],[refute_0_163:[bind(X_5,$fot(multiply(inverse(inverse(B)),inverse(X_112))))]]) ).
cnf(refute_0_165,plain,
double_divide(multiply(inverse(inverse(B)),inverse(X_112)),inverse(B)) = X_112,
inference(subst,[],[refute_0_123:[bind(B,$fot(X_112)),bind(X_30,$fot(inverse(B)))]]) ).
cnf(refute_0_166,plain,
( double_divide(multiply(inverse(inverse(B)),inverse(X_112)),inverse(B)) != X_112
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),double_divide(multiply(inverse(inverse(B)),inverse(X_112)),inverse(B)))) != B
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),double_divide(multiply(inverse(inverse(B)),inverse(X_112)),inverse(B)))),B) ),[0,1,1],$fot(X_112)]]) ).
cnf(refute_0_167,plain,
( double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),double_divide(multiply(inverse(inverse(B)),inverse(X_112)),inverse(B)))) != B
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(inverse(B)),inverse(X_112)),inverse(B)),X_112) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)) = B,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),double_divide(multiply(inverse(inverse(B)),inverse(X_112)),inverse(B)))),B) )],[refute_0_164,refute_0_167]) ).
cnf(refute_0_169,plain,
inverse(inverse(B)) = B,
inference(subst,[],[refute_0_139:[bind(X_109,$fot(B))]]) ).
cnf(refute_0_170,plain,
multiply(inverse(inverse(B)),inverse(X_112)) = multiply(inverse(inverse(B)),inverse(X_112)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(B)),inverse(X_112)))]]) ).
cnf(refute_0_171,plain,
( multiply(inverse(inverse(B)),inverse(X_112)) != multiply(inverse(inverse(B)),inverse(X_112))
| inverse(inverse(B)) != B
| multiply(inverse(inverse(B)),inverse(X_112)) = multiply(B,inverse(X_112)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(B)),inverse(X_112)),multiply(inverse(inverse(B)),inverse(X_112))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_172,plain,
( inverse(inverse(B)) != B
| multiply(inverse(inverse(B)),inverse(X_112)) = multiply(B,inverse(X_112)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(B)),inverse(X_112)),multiply(inverse(inverse(B)),inverse(X_112))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
multiply(inverse(inverse(B)),inverse(X_112)) = multiply(B,inverse(X_112)),
inference(resolve,[$cnf( $equal(inverse(inverse(B)),B) )],[refute_0_169,refute_0_172]) ).
cnf(refute_0_174,plain,
multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))) = multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))))]]) ).
cnf(refute_0_175,plain,
( multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))) != multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112)))
| multiply(inverse(inverse(B)),inverse(X_112)) != multiply(B,inverse(X_112))
| multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))) = multiply(inverse(X_6),multiply(B,inverse(X_112))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112)))) ),[1,1],$fot(multiply(B,inverse(X_112)))]]) ).
cnf(refute_0_176,plain,
( multiply(inverse(inverse(B)),inverse(X_112)) != multiply(B,inverse(X_112))
| multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))) = multiply(inverse(X_6),multiply(B,inverse(X_112))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112)))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))) = multiply(inverse(X_6),multiply(B,inverse(X_112))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(B)),inverse(X_112)),multiply(B,inverse(X_112))) )],[refute_0_173,refute_0_176]) ).
cnf(refute_0_178,plain,
double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112) = double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112),
introduced(tautology,[refl,[$fot(double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112))]]) ).
cnf(refute_0_179,plain,
( multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))) != multiply(inverse(X_6),multiply(B,inverse(X_112)))
| double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112) != double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)
| double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112) = double_divide(multiply(inverse(X_6),multiply(B,inverse(X_112))),X_112) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)) ),[1,0],$fot(multiply(inverse(X_6),multiply(B,inverse(X_112))))]]) ).
cnf(refute_0_180,plain,
( multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))) != multiply(inverse(X_6),multiply(B,inverse(X_112)))
| double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112) = double_divide(multiply(inverse(X_6),multiply(B,inverse(X_112))),X_112) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112) = double_divide(multiply(inverse(X_6),multiply(B,inverse(X_112))),X_112),
inference(resolve,[$cnf( $equal(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),multiply(inverse(X_6),multiply(B,inverse(X_112)))) )],[refute_0_177,refute_0_180]) ).
cnf(refute_0_182,plain,
double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)) = double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)))]]) ).
cnf(refute_0_183,plain,
( double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112) != double_divide(multiply(inverse(X_6),multiply(B,inverse(X_112))),X_112)
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)) != double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112))
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)) = double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(B,inverse(X_112))),X_112)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112))) ),[1,1],$fot(double_divide(multiply(inverse(X_6),multiply(B,inverse(X_112))),X_112))]]) ).
cnf(refute_0_184,plain,
( double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112) != double_divide(multiply(inverse(X_6),multiply(B,inverse(X_112))),X_112)
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)) = double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(B,inverse(X_112))),X_112)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)) = double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(B,inverse(X_112))),X_112)),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112),double_divide(multiply(inverse(X_6),multiply(B,inverse(X_112))),X_112)) )],[refute_0_181,refute_0_184]) ).
cnf(refute_0_186,plain,
( double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)) != B
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)) != double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(B,inverse(X_112))),X_112))
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(B,inverse(X_112))),X_112)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)),B) ),[0],$fot(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(B,inverse(X_112))),X_112)))]]) ).
cnf(refute_0_187,plain,
( double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)) != B
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(B,inverse(X_112))),X_112)) = B ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(B,inverse(X_112))),X_112))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(B,inverse(X_112))),X_112)) = B,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(inverse(B)),inverse(X_112))),X_112)),B) )],[refute_0_168,refute_0_187]) ).
cnf(refute_0_189,plain,
double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),multiply(inverse(multiply(X_8,X_9)),inverse(X_112))),X_112)) = inverse(multiply(X_8,X_9)),
inference(subst,[],[refute_0_188:[bind(B,$fot(inverse(multiply(X_8,X_9)))),bind(X_6,$fot(X_3))]]) ).
cnf(refute_0_190,plain,
( double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),multiply(inverse(multiply(X_8,X_9)),inverse(X_112))),X_112)) != double_divide(X_9,X_8)
| double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),multiply(inverse(multiply(X_8,X_9)),inverse(X_112))),X_112)) != inverse(multiply(X_8,X_9))
| inverse(multiply(X_8,X_9)) = double_divide(X_9,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),multiply(inverse(multiply(X_8,X_9)),inverse(X_112))),X_112)),double_divide(X_9,X_8)) ),[0],$fot(inverse(multiply(X_8,X_9)))]]) ).
cnf(refute_0_191,plain,
( double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),multiply(inverse(multiply(X_8,X_9)),inverse(X_112))),X_112)) != double_divide(X_9,X_8)
| inverse(multiply(X_8,X_9)) = double_divide(X_9,X_8) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),multiply(inverse(multiply(X_8,X_9)),inverse(X_112))),X_112)),inverse(multiply(X_8,X_9))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
inverse(multiply(X_8,X_9)) = double_divide(X_9,X_8),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),multiply(inverse(multiply(X_8,X_9)),inverse(X_112))),X_112)),double_divide(X_9,X_8)) )],[refute_0_158,refute_0_191]) ).
cnf(refute_0_193,plain,
inverse(multiply(X_126,X_125)) = double_divide(X_125,X_126),
inference(subst,[],[refute_0_192:[bind(X_8,$fot(X_126)),bind(X_9,$fot(X_125))]]) ).
cnf(refute_0_194,plain,
multiply(inverse(multiply(X_126,X_125)),X_126) = multiply(inverse(multiply(X_126,X_125)),X_126),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_126,X_125)),X_126))]]) ).
cnf(refute_0_195,plain,
( multiply(inverse(multiply(X_126,X_125)),X_126) != multiply(inverse(multiply(X_126,X_125)),X_126)
| inverse(multiply(X_126,X_125)) != double_divide(X_125,X_126)
| multiply(inverse(multiply(X_126,X_125)),X_126) = multiply(double_divide(X_125,X_126),X_126) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_126,X_125)),X_126),multiply(inverse(multiply(X_126,X_125)),X_126)) ),[1,0],$fot(double_divide(X_125,X_126))]]) ).
cnf(refute_0_196,plain,
( inverse(multiply(X_126,X_125)) != double_divide(X_125,X_126)
| multiply(inverse(multiply(X_126,X_125)),X_126) = multiply(double_divide(X_125,X_126),X_126) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_126,X_125)),X_126),multiply(inverse(multiply(X_126,X_125)),X_126)) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
multiply(inverse(multiply(X_126,X_125)),X_126) = multiply(double_divide(X_125,X_126),X_126),
inference(resolve,[$cnf( $equal(inverse(multiply(X_126,X_125)),double_divide(X_125,X_126)) )],[refute_0_193,refute_0_196]) ).
cnf(refute_0_198,plain,
( multiply(inverse(multiply(X_126,X_125)),X_126) != multiply(double_divide(X_125,X_126),X_126)
| multiply(inverse(multiply(X_126,X_125)),X_126) != inverse(X_125)
| multiply(double_divide(X_125,X_126),X_126) = inverse(X_125) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_126,X_125)),X_126),inverse(X_125)) ),[0],$fot(multiply(double_divide(X_125,X_126),X_126))]]) ).
cnf(refute_0_199,plain,
( multiply(inverse(multiply(X_126,X_125)),X_126) != inverse(X_125)
| multiply(double_divide(X_125,X_126),X_126) = inverse(X_125) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_126,X_125)),X_126),multiply(double_divide(X_125,X_126),X_126)) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
multiply(double_divide(X_125,X_126),X_126) = inverse(X_125),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_126,X_125)),X_126),inverse(X_125)) )],[refute_0_148,refute_0_199]) ).
cnf(refute_0_201,plain,
multiply(double_divide(X_131,X_109),X_109) = inverse(X_131),
inference(subst,[],[refute_0_200:[bind(X_125,$fot(X_131)),bind(X_126,$fot(X_109))]]) ).
cnf(refute_0_202,plain,
( multiply(double_divide(X_131,X_109),X_109) != inverse(X_131)
| multiply(inverse(X_109),multiply(double_divide(X_131,X_109),X_109)) != double_divide(X_131,X_109)
| multiply(inverse(X_109),inverse(X_131)) = double_divide(X_131,X_109) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_109),multiply(double_divide(X_131,X_109),X_109)),double_divide(X_131,X_109)) ),[0,1],$fot(inverse(X_131))]]) ).
cnf(refute_0_203,plain,
( multiply(inverse(X_109),multiply(double_divide(X_131,X_109),X_109)) != double_divide(X_131,X_109)
| multiply(inverse(X_109),inverse(X_131)) = double_divide(X_131,X_109) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_131,X_109),X_109),inverse(X_131)) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
multiply(inverse(X_109),inverse(X_131)) = double_divide(X_131,X_109),
inference(resolve,[$cnf( $equal(multiply(inverse(X_109),multiply(double_divide(X_131,X_109),X_109)),double_divide(X_131,X_109)) )],[refute_0_143,refute_0_203]) ).
cnf(refute_0_205,plain,
multiply(inverse(X_125),multiply(double_divide(X_125,X_115),X_125)) = double_divide(X_125,X_115),
inference(subst,[],[refute_0_142:[bind(X_109,$fot(X_125)),bind(X_122,$fot(double_divide(X_125,X_115)))]]) ).
cnf(refute_0_206,plain,
multiply(double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(X_3))),multiply(double_divide(X_5,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_6),X_5)))) = inverse(X_3),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(multiply(inverse(X_6),X_5))),bind(X_4,$fot(double_divide(X_5,inverse(X_3))))]]) ).
cnf(refute_0_207,plain,
multiply(double_divide(X_5,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_6),X_5))) = inverse(X_6),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(X_5)),bind(X_3,$fot(X_6)),bind(X_4,$fot(inverse(X_3)))]]) ).
cnf(refute_0_208,plain,
( multiply(double_divide(X_5,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_6),X_5))) != inverse(X_6)
| multiply(double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(X_3))),multiply(double_divide(X_5,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_6),X_5)))) != inverse(X_3)
| multiply(double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(X_3))),inverse(X_6)) = inverse(X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(X_3))),multiply(double_divide(X_5,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_6),X_5)))),inverse(X_3)) ),[0,1],$fot(inverse(X_6))]]) ).
cnf(refute_0_209,plain,
( multiply(double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(X_3))),multiply(double_divide(X_5,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_6),X_5)))) != inverse(X_3)
| multiply(double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(X_3))),inverse(X_6)) = inverse(X_3) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_5,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_6),X_5))),inverse(X_6)) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
multiply(double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(X_3))),inverse(X_6)) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(X_3))),multiply(double_divide(X_5,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_6),X_5)))),inverse(X_3)) )],[refute_0_206,refute_0_209]) ).
cnf(refute_0_211,plain,
multiply(double_divide(multiply(inverse(X_6),multiply(X_108,inverse(X_108))),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)) = inverse(X_3),
inference(subst,[],[refute_0_210:[bind(X_5,$fot(multiply(X_108,inverse(X_108))))]]) ).
cnf(refute_0_212,plain,
multiply(inverse(X_6),multiply(X_108,inverse(X_108))) = inverse(X_6),
inference(subst,[],[refute_0_83:[bind(X_107,$fot(X_108))]]) ).
cnf(refute_0_213,plain,
( multiply(double_divide(multiply(inverse(X_6),multiply(X_108,inverse(X_108))),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)) != inverse(X_3)
| multiply(inverse(X_6),multiply(X_108,inverse(X_108))) != inverse(X_6)
| multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)) = inverse(X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_6),multiply(X_108,inverse(X_108))),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)),inverse(X_3)) ),[0,0,0],$fot(inverse(X_6))]]) ).
cnf(refute_0_214,plain,
( multiply(double_divide(multiply(inverse(X_6),multiply(X_108,inverse(X_108))),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)) != inverse(X_3)
| multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)) = inverse(X_3) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_6),multiply(X_108,inverse(X_108))),inverse(X_6)) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_6),multiply(X_108,inverse(X_108))),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)),inverse(X_3)) )],[refute_0_211,refute_0_214]) ).
cnf(refute_0_216,plain,
( X_109 != double_divide(multiply(X_108,inverse(X_108)),inverse(X_109))
| double_divide(multiply(X_108,inverse(X_108)),inverse(X_109)) = X_109 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_109)),bind(Y,$fot(double_divide(multiply(X_108,inverse(X_108)),inverse(X_109))))]]) ).
cnf(refute_0_217,plain,
double_divide(multiply(X_108,inverse(X_108)),inverse(X_109)) = X_109,
inference(resolve,[$cnf( $equal(X_109,double_divide(multiply(X_108,inverse(X_108)),inverse(X_109))) )],[refute_0_95,refute_0_216]) ).
cnf(refute_0_218,plain,
double_divide(multiply(X_108,inverse(X_108)),inverse(X_3)) = X_3,
inference(subst,[],[refute_0_217:[bind(X_109,$fot(X_3))]]) ).
cnf(refute_0_219,plain,
double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))) = double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))))]]) ).
cnf(refute_0_220,plain,
( double_divide(multiply(X_108,inverse(X_108)),inverse(X_3)) != X_3
| double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))) != double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3)))
| double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))) = double_divide(inverse(X_6),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3)))) ),[1,1],$fot(X_3)]]) ).
cnf(refute_0_221,plain,
( double_divide(multiply(X_108,inverse(X_108)),inverse(X_3)) != X_3
| double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))) = double_divide(inverse(X_6),X_3) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3)))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))) = double_divide(inverse(X_6),X_3),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_108,inverse(X_108)),inverse(X_3)),X_3) )],[refute_0_218,refute_0_221]) ).
cnf(refute_0_223,plain,
multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)) = multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)))]]) ).
cnf(refute_0_224,plain,
( multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)) != multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6))
| double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))) != double_divide(inverse(X_6),X_3)
| multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)) = multiply(double_divide(inverse(X_6),X_3),inverse(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)),multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6))) ),[1,0],$fot(double_divide(inverse(X_6),X_3))]]) ).
cnf(refute_0_225,plain,
( double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))) != double_divide(inverse(X_6),X_3)
| multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)) = multiply(double_divide(inverse(X_6),X_3),inverse(X_6)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)),multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)) = multiply(double_divide(inverse(X_6),X_3),inverse(X_6)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),double_divide(inverse(X_6),X_3)) )],[refute_0_222,refute_0_225]) ).
cnf(refute_0_227,plain,
( multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)) != multiply(double_divide(inverse(X_6),X_3),inverse(X_6))
| multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)) != inverse(X_3)
| multiply(double_divide(inverse(X_6),X_3),inverse(X_6)) = inverse(X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)),inverse(X_3)) ),[0],$fot(multiply(double_divide(inverse(X_6),X_3),inverse(X_6)))]]) ).
cnf(refute_0_228,plain,
( multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)) != inverse(X_3)
| multiply(double_divide(inverse(X_6),X_3),inverse(X_6)) = inverse(X_3) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)),multiply(double_divide(inverse(X_6),X_3),inverse(X_6))) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
multiply(double_divide(inverse(X_6),X_3),inverse(X_6)) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_6),double_divide(multiply(X_108,inverse(X_108)),inverse(X_3))),inverse(X_6)),inverse(X_3)) )],[refute_0_215,refute_0_228]) ).
cnf(refute_0_230,plain,
multiply(double_divide(inverse(inverse(X_109)),X_115),inverse(inverse(X_109))) = inverse(X_115),
inference(subst,[],[refute_0_229:[bind(X_3,$fot(X_115)),bind(X_6,$fot(inverse(X_109)))]]) ).
cnf(refute_0_231,plain,
( multiply(double_divide(inverse(inverse(X_109)),X_115),inverse(inverse(X_109))) != inverse(X_115)
| inverse(inverse(X_109)) != X_109
| multiply(double_divide(inverse(inverse(X_109)),X_115),X_109) = inverse(X_115) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_109)),X_115),inverse(inverse(X_109))),inverse(X_115)) ),[0,1],$fot(X_109)]]) ).
cnf(refute_0_232,plain,
( multiply(double_divide(inverse(inverse(X_109)),X_115),inverse(inverse(X_109))) != inverse(X_115)
| multiply(double_divide(inverse(inverse(X_109)),X_115),X_109) = inverse(X_115) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_109)),X_109) )],[refute_0_139,refute_0_231]) ).
cnf(refute_0_233,plain,
multiply(double_divide(inverse(inverse(X_109)),X_115),X_109) = inverse(X_115),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_109)),X_115),inverse(inverse(X_109))),inverse(X_115)) )],[refute_0_230,refute_0_232]) ).
cnf(refute_0_234,plain,
double_divide(inverse(inverse(X_109)),X_115) = double_divide(inverse(inverse(X_109)),X_115),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(X_109)),X_115))]]) ).
cnf(refute_0_235,plain,
( double_divide(inverse(inverse(X_109)),X_115) != double_divide(inverse(inverse(X_109)),X_115)
| inverse(inverse(X_109)) != X_109
| double_divide(inverse(inverse(X_109)),X_115) = double_divide(X_109,X_115) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_109)),X_115),double_divide(inverse(inverse(X_109)),X_115)) ),[1,0],$fot(X_109)]]) ).
cnf(refute_0_236,plain,
( inverse(inverse(X_109)) != X_109
| double_divide(inverse(inverse(X_109)),X_115) = double_divide(X_109,X_115) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_109)),X_115),double_divide(inverse(inverse(X_109)),X_115)) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
double_divide(inverse(inverse(X_109)),X_115) = double_divide(X_109,X_115),
inference(resolve,[$cnf( $equal(inverse(inverse(X_109)),X_109) )],[refute_0_139,refute_0_236]) ).
cnf(refute_0_238,plain,
multiply(double_divide(inverse(inverse(X_109)),X_115),X_109) = multiply(double_divide(inverse(inverse(X_109)),X_115),X_109),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(inverse(X_109)),X_115),X_109))]]) ).
cnf(refute_0_239,plain,
( multiply(double_divide(inverse(inverse(X_109)),X_115),X_109) != multiply(double_divide(inverse(inverse(X_109)),X_115),X_109)
| double_divide(inverse(inverse(X_109)),X_115) != double_divide(X_109,X_115)
| multiply(double_divide(inverse(inverse(X_109)),X_115),X_109) = multiply(double_divide(X_109,X_115),X_109) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_109)),X_115),X_109),multiply(double_divide(inverse(inverse(X_109)),X_115),X_109)) ),[1,0],$fot(double_divide(X_109,X_115))]]) ).
cnf(refute_0_240,plain,
( double_divide(inverse(inverse(X_109)),X_115) != double_divide(X_109,X_115)
| multiply(double_divide(inverse(inverse(X_109)),X_115),X_109) = multiply(double_divide(X_109,X_115),X_109) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_109)),X_115),X_109),multiply(double_divide(inverse(inverse(X_109)),X_115),X_109)) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
multiply(double_divide(inverse(inverse(X_109)),X_115),X_109) = multiply(double_divide(X_109,X_115),X_109),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_109)),X_115),double_divide(X_109,X_115)) )],[refute_0_237,refute_0_240]) ).
cnf(refute_0_242,plain,
( multiply(double_divide(inverse(inverse(X_109)),X_115),X_109) != multiply(double_divide(X_109,X_115),X_109)
| multiply(double_divide(inverse(inverse(X_109)),X_115),X_109) != inverse(X_115)
| multiply(double_divide(X_109,X_115),X_109) = inverse(X_115) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_109)),X_115),X_109),inverse(X_115)) ),[0],$fot(multiply(double_divide(X_109,X_115),X_109))]]) ).
cnf(refute_0_243,plain,
( multiply(double_divide(inverse(inverse(X_109)),X_115),X_109) != inverse(X_115)
| multiply(double_divide(X_109,X_115),X_109) = inverse(X_115) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_109)),X_115),X_109),multiply(double_divide(X_109,X_115),X_109)) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
multiply(double_divide(X_109,X_115),X_109) = inverse(X_115),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_109)),X_115),X_109),inverse(X_115)) )],[refute_0_233,refute_0_243]) ).
cnf(refute_0_245,plain,
multiply(double_divide(X_125,X_115),X_125) = inverse(X_115),
inference(subst,[],[refute_0_244:[bind(X_109,$fot(X_125))]]) ).
cnf(refute_0_246,plain,
( multiply(double_divide(X_125,X_115),X_125) != inverse(X_115)
| multiply(inverse(X_125),multiply(double_divide(X_125,X_115),X_125)) != double_divide(X_125,X_115)
| multiply(inverse(X_125),inverse(X_115)) = double_divide(X_125,X_115) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_125),multiply(double_divide(X_125,X_115),X_125)),double_divide(X_125,X_115)) ),[0,1],$fot(inverse(X_115))]]) ).
cnf(refute_0_247,plain,
( multiply(inverse(X_125),multiply(double_divide(X_125,X_115),X_125)) != double_divide(X_125,X_115)
| multiply(inverse(X_125),inverse(X_115)) = double_divide(X_125,X_115) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_125,X_115),X_125),inverse(X_115)) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
multiply(inverse(X_125),inverse(X_115)) = double_divide(X_125,X_115),
inference(resolve,[$cnf( $equal(multiply(inverse(X_125),multiply(double_divide(X_125,X_115),X_125)),double_divide(X_125,X_115)) )],[refute_0_205,refute_0_247]) ).
cnf(refute_0_249,plain,
multiply(inverse(X_109),inverse(X_131)) = double_divide(X_109,X_131),
inference(subst,[],[refute_0_248:[bind(X_115,$fot(X_131)),bind(X_125,$fot(X_109))]]) ).
cnf(refute_0_250,plain,
( multiply(inverse(X_109),inverse(X_131)) != double_divide(X_109,X_131)
| multiply(inverse(X_109),inverse(X_131)) != double_divide(X_131,X_109)
| double_divide(X_109,X_131) = double_divide(X_131,X_109) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_109),inverse(X_131)),double_divide(X_131,X_109)) ),[0],$fot(double_divide(X_109,X_131))]]) ).
cnf(refute_0_251,plain,
( multiply(inverse(X_109),inverse(X_131)) != double_divide(X_131,X_109)
| double_divide(X_109,X_131) = double_divide(X_131,X_109) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_109),inverse(X_131)),double_divide(X_109,X_131)) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
double_divide(X_109,X_131) = double_divide(X_131,X_109),
inference(resolve,[$cnf( $equal(multiply(inverse(X_109),inverse(X_131)),double_divide(X_131,X_109)) )],[refute_0_204,refute_0_251]) ).
cnf(refute_0_253,plain,
double_divide(B,A) = double_divide(A,B),
inference(subst,[],[refute_0_252:[bind(X_109,$fot(B)),bind(X_131,$fot(A))]]) ).
cnf(refute_0_254,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| double_divide(B,A) != double_divide(A,B)
| multiply(A,B) = inverse(double_divide(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) ),[1,0],$fot(double_divide(A,B))]]) ).
cnf(refute_0_255,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| multiply(A,B) = inverse(double_divide(A,B)) ),
inference(resolve,[$cnf( $equal(double_divide(B,A),double_divide(A,B)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
multiply(A,B) = inverse(double_divide(A,B)),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[multiply,refute_0_255]) ).
cnf(refute_0_257,plain,
inverse(double_divide(A,B)) = multiply(B,A),
inference(subst,[],[refute_0_5:[bind(A,$fot(B)),bind(B,$fot(A))]]) ).
cnf(refute_0_258,plain,
( multiply(A,B) != inverse(double_divide(A,B))
| inverse(double_divide(A,B)) != multiply(B,A)
| multiply(A,B) = multiply(B,A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),multiply(B,A)) ),[0],$fot(inverse(double_divide(A,B)))]]) ).
cnf(refute_0_259,plain,
( multiply(A,B) != inverse(double_divide(A,B))
| multiply(A,B) = multiply(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,B)),multiply(B,A)) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
multiply(A,B) = multiply(B,A),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(A,B))) )],[refute_0_256,refute_0_259]) ).
cnf(refute_0_261,plain,
( multiply(A,B) != multiply(B,A)
| multiply(B,A) = multiply(A,B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(multiply(B,A)))]]) ).
cnf(refute_0_262,plain,
multiply(B,A) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),multiply(B,A)) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_262:[bind(A,$fot(c3)),bind(B,$fot(multiply(a3,b3)))]]) ).
cnf(refute_0_264,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).
cnf(refute_0_265,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_265,prove_these_axioms_3]) ).
cnf(refute_0_267,plain,
multiply(inverse(double_divide(X_157,X_158)),multiply(multiply(X_157,X_158),double_divide(X_157,X_158))) = multiply(X_157,X_158),
inference(subst,[],[refute_0_142:[bind(X_109,$fot(double_divide(X_157,X_158))),bind(X_122,$fot(multiply(X_157,X_158)))]]) ).
cnf(refute_0_268,plain,
double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(X_6),inverse(inverse(X_39)))),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))) = double_divide(X_41,X_40),
inference(subst,[],[refute_0_153:[bind(X_2,$fot(multiply(inverse(X_6),inverse(inverse(X_39))))),bind(X_3,$fot(X_39)),bind(X_8,$fot(X_40)),bind(X_9,$fot(X_41))]]) ).
cnf(refute_0_269,plain,
multiply(inverse(X_39),multiply(inverse(X_6),inverse(inverse(X_39)))) = inverse(X_6),
inference(subst,[],[refute_0_48:[bind(B,$fot(inverse(X_39)))]]) ).
cnf(refute_0_270,plain,
( multiply(inverse(X_39),multiply(inverse(X_6),inverse(inverse(X_39)))) != inverse(X_6)
| double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(X_6),inverse(inverse(X_39)))),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))) != double_divide(X_41,X_40)
| double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))) = double_divide(X_41,X_40) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(X_6),inverse(inverse(X_39)))),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))),double_divide(X_41,X_40)) ),[0,1,0],$fot(inverse(X_6))]]) ).
cnf(refute_0_271,plain,
( double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(X_6),inverse(inverse(X_39)))),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))) != double_divide(X_41,X_40)
| double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))) = double_divide(X_41,X_40) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_39),multiply(inverse(X_6),inverse(inverse(X_39)))),inverse(X_6)) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))) = double_divide(X_41,X_40),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(X_6),inverse(inverse(X_39)))),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))),double_divide(X_41,X_40)) )],[refute_0_268,refute_0_271]) ).
cnf(refute_0_273,plain,
inverse(inverse(X_39)) = X_39,
inference(subst,[],[refute_0_139:[bind(X_109,$fot(X_39))]]) ).
cnf(refute_0_274,plain,
multiply(inverse(X_6),inverse(inverse(X_39))) = multiply(inverse(X_6),inverse(inverse(X_39))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_6),inverse(inverse(X_39))))]]) ).
cnf(refute_0_275,plain,
( multiply(inverse(X_6),inverse(inverse(X_39))) != multiply(inverse(X_6),inverse(inverse(X_39)))
| inverse(inverse(X_39)) != X_39
| multiply(inverse(X_6),inverse(inverse(X_39))) = multiply(inverse(X_6),X_39) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(inverse(X_6),inverse(inverse(X_39)))) ),[1,1],$fot(X_39)]]) ).
cnf(refute_0_276,plain,
( inverse(inverse(X_39)) != X_39
| multiply(inverse(X_6),inverse(inverse(X_39))) = multiply(inverse(X_6),X_39) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(inverse(X_6),inverse(inverse(X_39)))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
multiply(inverse(X_6),inverse(inverse(X_39))) = multiply(inverse(X_6),X_39),
inference(resolve,[$cnf( $equal(inverse(inverse(X_39)),X_39) )],[refute_0_273,refute_0_276]) ).
cnf(refute_0_278,plain,
double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)) = double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)),
introduced(tautology,[refl,[$fot(double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))]]) ).
cnf(refute_0_279,plain,
( multiply(inverse(X_6),inverse(inverse(X_39))) != multiply(inverse(X_6),X_39)
| double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)) != double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41))
| double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)) = double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41))) ),[1,0],$fot(multiply(inverse(X_6),X_39))]]) ).
cnf(refute_0_280,plain,
( multiply(inverse(X_6),inverse(inverse(X_39))) != multiply(inverse(X_6),X_39)
| double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)) = double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)) = double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(inverse(X_6),X_39)) )],[refute_0_277,refute_0_280]) ).
cnf(refute_0_282,plain,
double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41))) = double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41))))]]) ).
cnf(refute_0_283,plain,
( double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)) != double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41))) != double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41))) = double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41))),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))) ),[1,1],$fot(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))]]) ).
cnf(refute_0_284,plain,
( double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)) != double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41))) = double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41))),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41))) = double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))) )],[refute_0_281,refute_0_284]) ).
cnf(refute_0_286,plain,
double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))) = double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))))]]) ).
cnf(refute_0_287,plain,
( double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))) != double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41))))
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41))) != double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))
| double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))) = double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))),double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41))))) ),[1,1],$fot(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))]]) ).
cnf(refute_0_288,plain,
( double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41))) != double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))
| double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))) = double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))),double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41))))) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))) = double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41))),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) )],[refute_0_285,refute_0_288]) ).
cnf(refute_0_290,plain,
( double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))) != double_divide(X_41,X_40)
| double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))) != double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))
| double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) = double_divide(X_41,X_40) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))),double_divide(X_41,X_40)) ),[0],$fot(double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))))]]) ).
cnf(refute_0_291,plain,
( double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))) != double_divide(X_41,X_40)
| double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) = double_divide(X_41,X_40) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))),double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) = double_divide(X_41,X_40),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),inverse(inverse(X_39))),multiply(X_40,X_41)))),double_divide(X_41,X_40)) )],[refute_0_272,refute_0_291]) ).
cnf(refute_0_293,plain,
inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) = multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6)),
inference(subst,[],[refute_0_5:[bind(A,$fot(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))),bind(B,$fot(inverse(X_6)))]]) ).
cnf(refute_0_294,plain,
multiply(X_39,inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))) = multiply(X_39,inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))),
introduced(tautology,[refl,[$fot(multiply(X_39,inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))))]]) ).
cnf(refute_0_295,plain,
( multiply(X_39,inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))) != multiply(X_39,inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))))
| inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) != multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))
| multiply(X_39,inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))) = multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))),multiply(X_39,inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))))) ),[1,1],$fot(multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6)))]]) ).
cnf(refute_0_296,plain,
( inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) != multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))
| multiply(X_39,inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))) = multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))) ),
inference(resolve,[$cnf( $equal(multiply(X_39,inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))),multiply(X_39,inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
multiply(X_39,inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))) = multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))),multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))) )],[refute_0_293,refute_0_296]) ).
cnf(refute_0_298,plain,
multiply(X_121,multiply(double_divide(inverse(X_121),X_115),inverse(X_121))) = double_divide(inverse(X_121),X_115),
inference(subst,[],[refute_0_136:[bind(B,$fot(X_121)),bind(X_114,$fot(double_divide(inverse(X_121),X_115)))]]) ).
cnf(refute_0_299,plain,
multiply(double_divide(inverse(X_121),X_115),inverse(X_121)) = inverse(X_115),
inference(subst,[],[refute_0_244:[bind(X_109,$fot(inverse(X_121)))]]) ).
cnf(refute_0_300,plain,
( multiply(X_121,multiply(double_divide(inverse(X_121),X_115),inverse(X_121))) != double_divide(inverse(X_121),X_115)
| multiply(double_divide(inverse(X_121),X_115),inverse(X_121)) != inverse(X_115)
| multiply(X_121,inverse(X_115)) = double_divide(inverse(X_121),X_115) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_121,multiply(double_divide(inverse(X_121),X_115),inverse(X_121))),double_divide(inverse(X_121),X_115)) ),[0,1],$fot(inverse(X_115))]]) ).
cnf(refute_0_301,plain,
( multiply(X_121,multiply(double_divide(inverse(X_121),X_115),inverse(X_121))) != double_divide(inverse(X_121),X_115)
| multiply(X_121,inverse(X_115)) = double_divide(inverse(X_121),X_115) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_121),X_115),inverse(X_121)),inverse(X_115)) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
multiply(X_121,inverse(X_115)) = double_divide(inverse(X_121),X_115),
inference(resolve,[$cnf( $equal(multiply(X_121,multiply(double_divide(inverse(X_121),X_115),inverse(X_121))),double_divide(inverse(X_121),X_115)) )],[refute_0_298,refute_0_301]) ).
cnf(refute_0_303,plain,
( multiply(X_121,inverse(X_115)) != double_divide(inverse(X_121),X_115)
| double_divide(inverse(X_121),X_115) = multiply(X_121,inverse(X_115)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_121,inverse(X_115)))),bind(Y,$fot(double_divide(inverse(X_121),X_115)))]]) ).
cnf(refute_0_304,plain,
double_divide(inverse(X_121),X_115) = multiply(X_121,inverse(X_115)),
inference(resolve,[$cnf( $equal(multiply(X_121,inverse(X_115)),double_divide(inverse(X_121),X_115)) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) = multiply(X_39,inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))),
inference(subst,[],[refute_0_304:[bind(X_115,$fot(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))),bind(X_121,$fot(X_39))]]) ).
cnf(refute_0_306,plain,
( multiply(X_39,inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))) != multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6)))
| double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) != multiply(X_39,inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))))
| double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) = multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))))),bind(Y,$fot(multiply(X_39,inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))))),bind(Z,$fot(multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6)))))]]) ).
cnf(refute_0_307,plain,
( multiply(X_39,inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))) != multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6)))
| double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) = multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))),multiply(X_39,inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))))) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) = multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))),
inference(resolve,[$cnf( $equal(multiply(X_39,inverse(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))),multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6)))) )],[refute_0_297,refute_0_307]) ).
cnf(refute_0_309,plain,
( double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) != multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6)))
| double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) != double_divide(X_41,X_40)
| multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))) = double_divide(X_41,X_40) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))),double_divide(X_41,X_40)) ),[0],$fot(multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))))]]) ).
cnf(refute_0_310,plain,
( double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) != double_divide(X_41,X_40)
| multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))) = double_divide(X_41,X_40) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))),multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6)))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))) = double_divide(X_41,X_40),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_39),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))),double_divide(X_41,X_40)) )],[refute_0_292,refute_0_310]) ).
cnf(refute_0_312,plain,
multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6)) = multiply(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))),
inference(subst,[],[refute_0_262:[bind(A,$fot(inverse(X_6))),bind(B,$fot(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))]]) ).
cnf(refute_0_313,plain,
multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))) = multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))),
introduced(tautology,[refl,[$fot(multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))))]]) ).
cnf(refute_0_314,plain,
( multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))) != multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6)))
| multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6)) != multiply(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))
| multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))) = multiply(X_39,multiply(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))),multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6)))) ),[1,1],$fot(multiply(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))]]) ).
cnf(refute_0_315,plain,
( multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6)) != multiply(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))
| multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))) = multiply(X_39,multiply(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) ),
inference(resolve,[$cnf( $equal(multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))),multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6)))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))) = multiply(X_39,multiply(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6)),multiply(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) )],[refute_0_312,refute_0_315]) ).
cnf(refute_0_317,plain,
( multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))) != multiply(X_39,multiply(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))
| multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))) != double_divide(X_41,X_40)
| multiply(X_39,multiply(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) = double_divide(X_41,X_40) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))),double_divide(X_41,X_40)) ),[0],$fot(multiply(X_39,multiply(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))))]]) ).
cnf(refute_0_318,plain,
( multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))) != double_divide(X_41,X_40)
| multiply(X_39,multiply(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) = double_divide(X_41,X_40) ),
inference(resolve,[$cnf( $equal(multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))),multiply(X_39,multiply(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41))))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
multiply(X_39,multiply(inverse(X_6),double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)))) = double_divide(X_41,X_40),
inference(resolve,[$cnf( $equal(multiply(X_39,multiply(double_divide(multiply(inverse(X_6),X_39),multiply(X_40,X_41)),inverse(X_6))),double_divide(X_41,X_40)) )],[refute_0_311,refute_0_318]) ).
cnf(refute_0_320,plain,
multiply(X_139,multiply(inverse(X_142),double_divide(multiply(inverse(X_142),X_139),multiply(X_140,inverse(X_140))))) = double_divide(inverse(X_140),X_140),
inference(subst,[],[refute_0_319:[bind(X_39,$fot(X_139)),bind(X_40,$fot(X_140)),bind(X_41,$fot(inverse(X_140))),bind(X_6,$fot(X_142))]]) ).
cnf(refute_0_321,plain,
double_divide(multiply(C,multiply(inverse(B),inverse(C))),double_divide(inverse(C),C)) = B,
inference(subst,[],[refute_0_23:[bind(A,$fot(inverse(C)))]]) ).
cnf(refute_0_322,plain,
multiply(C,multiply(inverse(B),inverse(C))) = inverse(B),
inference(subst,[],[refute_0_48:[bind(B,$fot(C)),bind(X_6,$fot(B))]]) ).
cnf(refute_0_323,plain,
( multiply(C,multiply(inverse(B),inverse(C))) != inverse(B)
| double_divide(multiply(C,multiply(inverse(B),inverse(C))),double_divide(inverse(C),C)) != B
| double_divide(inverse(B),double_divide(inverse(C),C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(C,multiply(inverse(B),inverse(C))),double_divide(inverse(C),C)),B) ),[0,0],$fot(inverse(B))]]) ).
cnf(refute_0_324,plain,
( double_divide(multiply(C,multiply(inverse(B),inverse(C))),double_divide(inverse(C),C)) != B
| double_divide(inverse(B),double_divide(inverse(C),C)) = B ),
inference(resolve,[$cnf( $equal(multiply(C,multiply(inverse(B),inverse(C))),inverse(B)) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
double_divide(inverse(B),double_divide(inverse(C),C)) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(C,multiply(inverse(B),inverse(C))),double_divide(inverse(C),C)),B) )],[refute_0_321,refute_0_324]) ).
cnf(refute_0_326,plain,
double_divide(inverse(inverse(X_114)),double_divide(inverse(C),C)) = inverse(X_114),
inference(subst,[],[refute_0_325:[bind(B,$fot(inverse(X_114)))]]) ).
cnf(refute_0_327,plain,
( double_divide(inverse(inverse(X_114)),double_divide(inverse(C),C)) != inverse(X_114)
| inverse(inverse(X_114)) != X_114
| double_divide(X_114,double_divide(inverse(C),C)) = inverse(X_114) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_114)),double_divide(inverse(C),C)),inverse(X_114)) ),[0,0],$fot(X_114)]]) ).
cnf(refute_0_328,plain,
( double_divide(inverse(inverse(X_114)),double_divide(inverse(C),C)) != inverse(X_114)
| double_divide(X_114,double_divide(inverse(C),C)) = inverse(X_114) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_114)),X_114) )],[refute_0_130,refute_0_327]) ).
cnf(refute_0_329,plain,
double_divide(X_114,double_divide(inverse(C),C)) = inverse(X_114),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_114)),double_divide(inverse(C),C)),inverse(X_114)) )],[refute_0_326,refute_0_328]) ).
cnf(refute_0_330,plain,
double_divide(inverse(C),C) = multiply(C,inverse(C)),
inference(subst,[],[refute_0_304:[bind(X_115,$fot(C)),bind(X_121,$fot(C))]]) ).
cnf(refute_0_331,plain,
double_divide(X_114,double_divide(inverse(C),C)) = double_divide(X_114,double_divide(inverse(C),C)),
introduced(tautology,[refl,[$fot(double_divide(X_114,double_divide(inverse(C),C)))]]) ).
cnf(refute_0_332,plain,
( double_divide(X_114,double_divide(inverse(C),C)) != double_divide(X_114,double_divide(inverse(C),C))
| double_divide(inverse(C),C) != multiply(C,inverse(C))
| double_divide(X_114,double_divide(inverse(C),C)) = double_divide(X_114,multiply(C,inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_114,double_divide(inverse(C),C)),double_divide(X_114,double_divide(inverse(C),C))) ),[1,1],$fot(multiply(C,inverse(C)))]]) ).
cnf(refute_0_333,plain,
( double_divide(inverse(C),C) != multiply(C,inverse(C))
| double_divide(X_114,double_divide(inverse(C),C)) = double_divide(X_114,multiply(C,inverse(C))) ),
inference(resolve,[$cnf( $equal(double_divide(X_114,double_divide(inverse(C),C)),double_divide(X_114,double_divide(inverse(C),C))) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
double_divide(X_114,double_divide(inverse(C),C)) = double_divide(X_114,multiply(C,inverse(C))),
inference(resolve,[$cnf( $equal(double_divide(inverse(C),C),multiply(C,inverse(C))) )],[refute_0_330,refute_0_333]) ).
cnf(refute_0_335,plain,
( double_divide(X_114,double_divide(inverse(C),C)) != double_divide(X_114,multiply(C,inverse(C)))
| double_divide(X_114,double_divide(inverse(C),C)) != inverse(X_114)
| double_divide(X_114,multiply(C,inverse(C))) = inverse(X_114) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_114,double_divide(inverse(C),C)),inverse(X_114)) ),[0],$fot(double_divide(X_114,multiply(C,inverse(C))))]]) ).
cnf(refute_0_336,plain,
( double_divide(X_114,double_divide(inverse(C),C)) != inverse(X_114)
| double_divide(X_114,multiply(C,inverse(C))) = inverse(X_114) ),
inference(resolve,[$cnf( $equal(double_divide(X_114,double_divide(inverse(C),C)),double_divide(X_114,multiply(C,inverse(C)))) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
double_divide(X_114,multiply(C,inverse(C))) = inverse(X_114),
inference(resolve,[$cnf( $equal(double_divide(X_114,double_divide(inverse(C),C)),inverse(X_114)) )],[refute_0_329,refute_0_336]) ).
cnf(refute_0_338,plain,
double_divide(multiply(inverse(X_142),X_139),multiply(X_140,inverse(X_140))) = inverse(multiply(inverse(X_142),X_139)),
inference(subst,[],[refute_0_337:[bind(C,$fot(X_140)),bind(X_114,$fot(multiply(inverse(X_142),X_139)))]]) ).
cnf(refute_0_339,plain,
( multiply(X_139,multiply(inverse(X_142),double_divide(multiply(inverse(X_142),X_139),multiply(X_140,inverse(X_140))))) != double_divide(inverse(X_140),X_140)
| double_divide(multiply(inverse(X_142),X_139),multiply(X_140,inverse(X_140))) != inverse(multiply(inverse(X_142),X_139))
| multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139)))) = double_divide(inverse(X_140),X_140) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_139,multiply(inverse(X_142),double_divide(multiply(inverse(X_142),X_139),multiply(X_140,inverse(X_140))))),double_divide(inverse(X_140),X_140)) ),[0,1,1],$fot(inverse(multiply(inverse(X_142),X_139)))]]) ).
cnf(refute_0_340,plain,
( multiply(X_139,multiply(inverse(X_142),double_divide(multiply(inverse(X_142),X_139),multiply(X_140,inverse(X_140))))) != double_divide(inverse(X_140),X_140)
| multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139)))) = double_divide(inverse(X_140),X_140) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_142),X_139),multiply(X_140,inverse(X_140))),inverse(multiply(inverse(X_142),X_139))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139)))) = double_divide(inverse(X_140),X_140),
inference(resolve,[$cnf( $equal(multiply(X_139,multiply(inverse(X_142),double_divide(multiply(inverse(X_142),X_139),multiply(X_140,inverse(X_140))))),double_divide(inverse(X_140),X_140)) )],[refute_0_320,refute_0_340]) ).
cnf(refute_0_342,plain,
double_divide(multiply(inverse(X_30),inverse(inverse(X_114))),X_30) = inverse(X_114),
inference(subst,[],[refute_0_123:[bind(B,$fot(inverse(X_114)))]]) ).
cnf(refute_0_343,plain,
( double_divide(multiply(inverse(X_30),inverse(inverse(X_114))),X_30) != inverse(X_114)
| inverse(inverse(X_114)) != X_114
| double_divide(multiply(inverse(X_30),X_114),X_30) = inverse(X_114) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_30),inverse(inverse(X_114))),X_30),inverse(X_114)) ),[0,0,1],$fot(X_114)]]) ).
cnf(refute_0_344,plain,
( double_divide(multiply(inverse(X_30),inverse(inverse(X_114))),X_30) != inverse(X_114)
| double_divide(multiply(inverse(X_30),X_114),X_30) = inverse(X_114) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_114)),X_114) )],[refute_0_130,refute_0_343]) ).
cnf(refute_0_345,plain,
double_divide(multiply(inverse(X_30),X_114),X_30) = inverse(X_114),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_30),inverse(inverse(X_114))),X_30),inverse(X_114)) )],[refute_0_342,refute_0_344]) ).
cnf(refute_0_346,plain,
( double_divide(X_109,X_131) != double_divide(X_131,X_109)
| double_divide(X_131,X_109) = double_divide(X_109,X_131) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(double_divide(X_109,X_131))),bind(Y,$fot(double_divide(X_131,X_109)))]]) ).
cnf(refute_0_347,plain,
double_divide(X_131,X_109) = double_divide(X_109,X_131),
inference(resolve,[$cnf( $equal(double_divide(X_109,X_131),double_divide(X_131,X_109)) )],[refute_0_252,refute_0_346]) ).
cnf(refute_0_348,plain,
double_divide(multiply(inverse(X_30),X_114),X_30) = double_divide(X_30,multiply(inverse(X_30),X_114)),
inference(subst,[],[refute_0_347:[bind(X_109,$fot(X_30)),bind(X_131,$fot(multiply(inverse(X_30),X_114)))]]) ).
cnf(refute_0_349,plain,
( double_divide(multiply(inverse(X_30),X_114),X_30) != double_divide(X_30,multiply(inverse(X_30),X_114))
| double_divide(multiply(inverse(X_30),X_114),X_30) != inverse(X_114)
| double_divide(X_30,multiply(inverse(X_30),X_114)) = inverse(X_114) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_30),X_114),X_30),inverse(X_114)) ),[0],$fot(double_divide(X_30,multiply(inverse(X_30),X_114)))]]) ).
cnf(refute_0_350,plain,
( double_divide(multiply(inverse(X_30),X_114),X_30) != inverse(X_114)
| double_divide(X_30,multiply(inverse(X_30),X_114)) = inverse(X_114) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_30),X_114),X_30),double_divide(X_30,multiply(inverse(X_30),X_114))) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
double_divide(X_30,multiply(inverse(X_30),X_114)) = inverse(X_114),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_30),X_114),X_30),inverse(X_114)) )],[refute_0_345,refute_0_350]) ).
cnf(refute_0_352,plain,
double_divide(X_142,multiply(inverse(X_142),X_139)) = inverse(X_139),
inference(subst,[],[refute_0_351:[bind(X_114,$fot(X_139)),bind(X_30,$fot(X_142))]]) ).
cnf(refute_0_353,plain,
multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139))) = double_divide(X_142,multiply(inverse(X_142),X_139)),
inference(subst,[],[refute_0_248:[bind(X_115,$fot(multiply(inverse(X_142),X_139))),bind(X_125,$fot(X_142))]]) ).
cnf(refute_0_354,plain,
( multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139))) != double_divide(X_142,multiply(inverse(X_142),X_139))
| double_divide(X_142,multiply(inverse(X_142),X_139)) != inverse(X_139)
| multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139))) = inverse(X_139) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139))))),bind(Y,$fot(double_divide(X_142,multiply(inverse(X_142),X_139)))),bind(Z,$fot(inverse(X_139)))]]) ).
cnf(refute_0_355,plain,
( double_divide(X_142,multiply(inverse(X_142),X_139)) != inverse(X_139)
| multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139))) = inverse(X_139) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139))),double_divide(X_142,multiply(inverse(X_142),X_139))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139))) = inverse(X_139),
inference(resolve,[$cnf( $equal(double_divide(X_142,multiply(inverse(X_142),X_139)),inverse(X_139)) )],[refute_0_352,refute_0_355]) ).
cnf(refute_0_357,plain,
multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139)))) = multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139)))),
introduced(tautology,[refl,[$fot(multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139)))))]]) ).
cnf(refute_0_358,plain,
( multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139)))) != multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139))))
| multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139))) != inverse(X_139)
| multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139)))) = multiply(X_139,inverse(X_139)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139)))),multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139))))) ),[1,1],$fot(inverse(X_139))]]) ).
cnf(refute_0_359,plain,
( multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139))) != inverse(X_139)
| multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139)))) = multiply(X_139,inverse(X_139)) ),
inference(resolve,[$cnf( $equal(multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139)))),multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139))))) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139)))) = multiply(X_139,inverse(X_139)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139))),inverse(X_139)) )],[refute_0_356,refute_0_359]) ).
cnf(refute_0_361,plain,
( multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139)))) != multiply(X_139,inverse(X_139))
| multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139)))) != double_divide(inverse(X_140),X_140)
| multiply(X_139,inverse(X_139)) = double_divide(inverse(X_140),X_140) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139)))),double_divide(inverse(X_140),X_140)) ),[0],$fot(multiply(X_139,inverse(X_139)))]]) ).
cnf(refute_0_362,plain,
( multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139)))) != double_divide(inverse(X_140),X_140)
| multiply(X_139,inverse(X_139)) = double_divide(inverse(X_140),X_140) ),
inference(resolve,[$cnf( $equal(multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139)))),multiply(X_139,inverse(X_139))) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
multiply(B,multiply(double_divide(X_131,inverse(B)),inverse(B))) = double_divide(X_131,inverse(B)),
inference(subst,[],[refute_0_136:[bind(X_114,$fot(double_divide(X_131,inverse(B))))]]) ).
cnf(refute_0_364,plain,
multiply(double_divide(X_131,inverse(B)),inverse(B)) = inverse(X_131),
inference(subst,[],[refute_0_200:[bind(X_125,$fot(X_131)),bind(X_126,$fot(inverse(B)))]]) ).
cnf(refute_0_365,plain,
( multiply(B,multiply(double_divide(X_131,inverse(B)),inverse(B))) != double_divide(X_131,inverse(B))
| multiply(double_divide(X_131,inverse(B)),inverse(B)) != inverse(X_131)
| multiply(B,inverse(X_131)) = double_divide(X_131,inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,multiply(double_divide(X_131,inverse(B)),inverse(B))),double_divide(X_131,inverse(B))) ),[0,1],$fot(inverse(X_131))]]) ).
cnf(refute_0_366,plain,
( multiply(B,multiply(double_divide(X_131,inverse(B)),inverse(B))) != double_divide(X_131,inverse(B))
| multiply(B,inverse(X_131)) = double_divide(X_131,inverse(B)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_131,inverse(B)),inverse(B)),inverse(X_131)) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
multiply(B,inverse(X_131)) = double_divide(X_131,inverse(B)),
inference(resolve,[$cnf( $equal(multiply(B,multiply(double_divide(X_131,inverse(B)),inverse(B))),double_divide(X_131,inverse(B))) )],[refute_0_363,refute_0_366]) ).
cnf(refute_0_368,plain,
( multiply(B,inverse(X_131)) != double_divide(X_131,inverse(B))
| double_divide(X_131,inverse(B)) = multiply(B,inverse(X_131)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(B,inverse(X_131)))),bind(Y,$fot(double_divide(X_131,inverse(B))))]]) ).
cnf(refute_0_369,plain,
double_divide(X_131,inverse(B)) = multiply(B,inverse(X_131)),
inference(resolve,[$cnf( $equal(multiply(B,inverse(X_131)),double_divide(X_131,inverse(B))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
double_divide(X_140,inverse(X_140)) = multiply(X_140,inverse(X_140)),
inference(subst,[],[refute_0_369:[bind(B,$fot(X_140)),bind(X_131,$fot(X_140))]]) ).
cnf(refute_0_371,plain,
double_divide(inverse(X_140),X_140) = double_divide(X_140,inverse(X_140)),
inference(subst,[],[refute_0_347:[bind(X_109,$fot(X_140)),bind(X_131,$fot(inverse(X_140)))]]) ).
cnf(refute_0_372,plain,
( double_divide(X_140,inverse(X_140)) != multiply(X_140,inverse(X_140))
| double_divide(inverse(X_140),X_140) != double_divide(X_140,inverse(X_140))
| double_divide(inverse(X_140),X_140) = multiply(X_140,inverse(X_140)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(inverse(X_140),X_140))),bind(Y,$fot(double_divide(X_140,inverse(X_140)))),bind(Z,$fot(multiply(X_140,inverse(X_140))))]]) ).
cnf(refute_0_373,plain,
( double_divide(X_140,inverse(X_140)) != multiply(X_140,inverse(X_140))
| double_divide(inverse(X_140),X_140) = multiply(X_140,inverse(X_140)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_140),X_140),double_divide(X_140,inverse(X_140))) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
double_divide(inverse(X_140),X_140) = multiply(X_140,inverse(X_140)),
inference(resolve,[$cnf( $equal(double_divide(X_140,inverse(X_140)),multiply(X_140,inverse(X_140))) )],[refute_0_370,refute_0_373]) ).
cnf(refute_0_375,plain,
( multiply(X_139,inverse(X_139)) != double_divide(inverse(X_140),X_140)
| double_divide(inverse(X_140),X_140) != multiply(X_140,inverse(X_140))
| multiply(X_139,inverse(X_139)) = multiply(X_140,inverse(X_140)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_139,inverse(X_139)),multiply(X_140,inverse(X_140))) ),[0],$fot(double_divide(inverse(X_140),X_140))]]) ).
cnf(refute_0_376,plain,
( multiply(X_139,inverse(X_139)) != double_divide(inverse(X_140),X_140)
| multiply(X_139,inverse(X_139)) = multiply(X_140,inverse(X_140)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_140),X_140),multiply(X_140,inverse(X_140))) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
( multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139)))) != double_divide(inverse(X_140),X_140)
| multiply(X_139,inverse(X_139)) = multiply(X_140,inverse(X_140)) ),
inference(resolve,[$cnf( $equal(multiply(X_139,inverse(X_139)),double_divide(inverse(X_140),X_140)) )],[refute_0_362,refute_0_376]) ).
cnf(refute_0_378,plain,
multiply(X_139,inverse(X_139)) = multiply(X_140,inverse(X_140)),
inference(resolve,[$cnf( $equal(multiply(X_139,multiply(inverse(X_142),inverse(multiply(inverse(X_142),X_139)))),double_divide(inverse(X_140),X_140)) )],[refute_0_341,refute_0_377]) ).
cnf(refute_0_379,plain,
multiply(double_divide(B,A),inverse(double_divide(B,A))) = multiply(X_144,inverse(X_144)),
inference(subst,[],[refute_0_378:[bind(X_139,$fot(double_divide(B,A))),bind(X_140,$fot(X_144))]]) ).
cnf(refute_0_380,plain,
( multiply(double_divide(B,A),inverse(double_divide(B,A))) != multiply(X_144,inverse(X_144))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(double_divide(B,A),multiply(A,B)) = multiply(X_144,inverse(X_144)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(B,A),inverse(double_divide(B,A))),multiply(X_144,inverse(X_144))) ),[0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_381,plain,
( multiply(double_divide(B,A),inverse(double_divide(B,A))) != multiply(X_144,inverse(X_144))
| multiply(double_divide(B,A),multiply(A,B)) = multiply(X_144,inverse(X_144)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_380]) ).
cnf(refute_0_382,plain,
multiply(double_divide(B,A),multiply(A,B)) = multiply(X_144,inverse(X_144)),
inference(resolve,[$cnf( $equal(multiply(double_divide(B,A),inverse(double_divide(B,A))),multiply(X_144,inverse(X_144))) )],[refute_0_379,refute_0_381]) ).
cnf(refute_0_383,plain,
multiply(double_divide(B,A),multiply(A,B)) = multiply(multiply(A,B),double_divide(B,A)),
inference(subst,[],[refute_0_262:[bind(A,$fot(multiply(A,B))),bind(B,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_384,plain,
( multiply(double_divide(B,A),multiply(A,B)) != multiply(X_144,inverse(X_144))
| multiply(double_divide(B,A),multiply(A,B)) != multiply(multiply(A,B),double_divide(B,A))
| multiply(multiply(A,B),double_divide(B,A)) = multiply(X_144,inverse(X_144)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(B,A),multiply(A,B)),multiply(X_144,inverse(X_144))) ),[0],$fot(multiply(multiply(A,B),double_divide(B,A)))]]) ).
cnf(refute_0_385,plain,
( multiply(double_divide(B,A),multiply(A,B)) != multiply(X_144,inverse(X_144))
| multiply(multiply(A,B),double_divide(B,A)) = multiply(X_144,inverse(X_144)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(B,A),multiply(A,B)),multiply(multiply(A,B),double_divide(B,A))) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
multiply(multiply(A,B),double_divide(B,A)) = multiply(X_144,inverse(X_144)),
inference(resolve,[$cnf( $equal(multiply(double_divide(B,A),multiply(A,B)),multiply(X_144,inverse(X_144))) )],[refute_0_382,refute_0_385]) ).
cnf(refute_0_387,plain,
multiply(multiply(X_148,X_149),double_divide(X_149,X_148)) = multiply(X_150,inverse(X_150)),
inference(subst,[],[refute_0_386:[bind(A,$fot(X_148)),bind(B,$fot(X_149)),bind(X_144,$fot(X_150))]]) ).
cnf(refute_0_388,plain,
double_divide(X_148,X_149) = double_divide(X_149,X_148),
inference(subst,[],[refute_0_252:[bind(X_109,$fot(X_148)),bind(X_131,$fot(X_149))]]) ).
cnf(refute_0_389,plain,
( double_divide(X_148,X_149) != double_divide(X_149,X_148)
| double_divide(X_149,X_148) = double_divide(X_148,X_149) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(double_divide(X_148,X_149))),bind(Y,$fot(double_divide(X_149,X_148)))]]) ).
cnf(refute_0_390,plain,
double_divide(X_149,X_148) = double_divide(X_148,X_149),
inference(resolve,[$cnf( $equal(double_divide(X_148,X_149),double_divide(X_149,X_148)) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
( multiply(multiply(X_148,X_149),double_divide(X_149,X_148)) != multiply(X_150,inverse(X_150))
| double_divide(X_149,X_148) != double_divide(X_148,X_149)
| multiply(multiply(X_148,X_149),double_divide(X_148,X_149)) = multiply(X_150,inverse(X_150)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_148,X_149),double_divide(X_149,X_148)),multiply(X_150,inverse(X_150))) ),[0,1],$fot(double_divide(X_148,X_149))]]) ).
cnf(refute_0_392,plain,
( multiply(multiply(X_148,X_149),double_divide(X_149,X_148)) != multiply(X_150,inverse(X_150))
| multiply(multiply(X_148,X_149),double_divide(X_148,X_149)) = multiply(X_150,inverse(X_150)) ),
inference(resolve,[$cnf( $equal(double_divide(X_149,X_148),double_divide(X_148,X_149)) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
multiply(multiply(X_148,X_149),double_divide(X_148,X_149)) = multiply(X_150,inverse(X_150)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_148,X_149),double_divide(X_149,X_148)),multiply(X_150,inverse(X_150))) )],[refute_0_387,refute_0_392]) ).
cnf(refute_0_394,plain,
multiply(multiply(X_157,X_158),double_divide(X_157,X_158)) = multiply(X_159,inverse(X_159)),
inference(subst,[],[refute_0_393:[bind(X_148,$fot(X_157)),bind(X_149,$fot(X_158)),bind(X_150,$fot(X_159))]]) ).
cnf(refute_0_395,plain,
( multiply(multiply(X_157,X_158),double_divide(X_157,X_158)) != multiply(X_159,inverse(X_159))
| multiply(inverse(double_divide(X_157,X_158)),multiply(multiply(X_157,X_158),double_divide(X_157,X_158))) != multiply(X_157,X_158)
| multiply(inverse(double_divide(X_157,X_158)),multiply(X_159,inverse(X_159))) = multiply(X_157,X_158) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_157,X_158)),multiply(multiply(X_157,X_158),double_divide(X_157,X_158))),multiply(X_157,X_158)) ),[0,1],$fot(multiply(X_159,inverse(X_159)))]]) ).
cnf(refute_0_396,plain,
( multiply(inverse(double_divide(X_157,X_158)),multiply(multiply(X_157,X_158),double_divide(X_157,X_158))) != multiply(X_157,X_158)
| multiply(inverse(double_divide(X_157,X_158)),multiply(X_159,inverse(X_159))) = multiply(X_157,X_158) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_157,X_158),double_divide(X_157,X_158)),multiply(X_159,inverse(X_159))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
multiply(inverse(double_divide(X_157,X_158)),multiply(X_159,inverse(X_159))) = multiply(X_157,X_158),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_157,X_158)),multiply(multiply(X_157,X_158),double_divide(X_157,X_158))),multiply(X_157,X_158)) )],[refute_0_267,refute_0_396]) ).
cnf(refute_0_398,plain,
inverse(double_divide(X_157,X_158)) = multiply(X_158,X_157),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_158)),bind(B,$fot(X_157))]]) ).
cnf(refute_0_399,plain,
multiply(inverse(inverse(X_114)),multiply(X_107,inverse(X_107))) = inverse(inverse(X_114)),
inference(subst,[],[refute_0_83:[bind(X_6,$fot(inverse(X_114)))]]) ).
cnf(refute_0_400,plain,
( multiply(inverse(inverse(X_114)),multiply(X_107,inverse(X_107))) != inverse(inverse(X_114))
| inverse(inverse(X_114)) != X_114
| multiply(X_114,multiply(X_107,inverse(X_107))) = inverse(inverse(X_114)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_114)),multiply(X_107,inverse(X_107))),inverse(inverse(X_114))) ),[0,0],$fot(X_114)]]) ).
cnf(refute_0_401,plain,
( multiply(inverse(inverse(X_114)),multiply(X_107,inverse(X_107))) != inverse(inverse(X_114))
| multiply(X_114,multiply(X_107,inverse(X_107))) = inverse(inverse(X_114)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_114)),X_114) )],[refute_0_130,refute_0_400]) ).
cnf(refute_0_402,plain,
multiply(X_114,multiply(X_107,inverse(X_107))) = inverse(inverse(X_114)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_114)),multiply(X_107,inverse(X_107))),inverse(inverse(X_114))) )],[refute_0_399,refute_0_401]) ).
cnf(refute_0_403,plain,
( multiply(X_114,multiply(X_107,inverse(X_107))) != inverse(inverse(X_114))
| inverse(inverse(X_114)) != X_114
| multiply(X_114,multiply(X_107,inverse(X_107))) = X_114 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_114,multiply(X_107,inverse(X_107))),X_114) ),[0],$fot(inverse(inverse(X_114)))]]) ).
cnf(refute_0_404,plain,
( multiply(X_114,multiply(X_107,inverse(X_107))) != inverse(inverse(X_114))
| multiply(X_114,multiply(X_107,inverse(X_107))) = X_114 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_114)),X_114) )],[refute_0_130,refute_0_403]) ).
cnf(refute_0_405,plain,
multiply(X_114,multiply(X_107,inverse(X_107))) = X_114,
inference(resolve,[$cnf( $equal(multiply(X_114,multiply(X_107,inverse(X_107))),inverse(inverse(X_114))) )],[refute_0_402,refute_0_404]) ).
cnf(refute_0_406,plain,
multiply(inverse(double_divide(X_157,X_158)),multiply(X_159,inverse(X_159))) = inverse(double_divide(X_157,X_158)),
inference(subst,[],[refute_0_405:[bind(X_107,$fot(X_159)),bind(X_114,$fot(inverse(double_divide(X_157,X_158))))]]) ).
cnf(refute_0_407,plain,
( multiply(inverse(double_divide(X_157,X_158)),multiply(X_159,inverse(X_159))) != inverse(double_divide(X_157,X_158))
| inverse(double_divide(X_157,X_158)) != multiply(X_158,X_157)
| multiply(inverse(double_divide(X_157,X_158)),multiply(X_159,inverse(X_159))) = multiply(X_158,X_157) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(inverse(double_divide(X_157,X_158)),multiply(X_159,inverse(X_159))))),bind(Y,$fot(inverse(double_divide(X_157,X_158)))),bind(Z,$fot(multiply(X_158,X_157)))]]) ).
cnf(refute_0_408,plain,
( inverse(double_divide(X_157,X_158)) != multiply(X_158,X_157)
| multiply(inverse(double_divide(X_157,X_158)),multiply(X_159,inverse(X_159))) = multiply(X_158,X_157) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_157,X_158)),multiply(X_159,inverse(X_159))),inverse(double_divide(X_157,X_158))) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
multiply(inverse(double_divide(X_157,X_158)),multiply(X_159,inverse(X_159))) = multiply(X_158,X_157),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_157,X_158)),multiply(X_158,X_157)) )],[refute_0_398,refute_0_408]) ).
cnf(refute_0_410,plain,
( multiply(inverse(double_divide(X_157,X_158)),multiply(X_159,inverse(X_159))) != multiply(X_157,X_158)
| multiply(inverse(double_divide(X_157,X_158)),multiply(X_159,inverse(X_159))) != multiply(X_158,X_157)
| multiply(X_158,X_157) = multiply(X_157,X_158) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_157,X_158)),multiply(X_159,inverse(X_159))),multiply(X_157,X_158)) ),[0],$fot(multiply(X_158,X_157))]]) ).
cnf(refute_0_411,plain,
( multiply(inverse(double_divide(X_157,X_158)),multiply(X_159,inverse(X_159))) != multiply(X_157,X_158)
| multiply(X_158,X_157) = multiply(X_157,X_158) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_157,X_158)),multiply(X_159,inverse(X_159))),multiply(X_158,X_157)) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
multiply(X_158,X_157) = multiply(X_157,X_158),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_157,X_158)),multiply(X_159,inverse(X_159))),multiply(X_157,X_158)) )],[refute_0_397,refute_0_411]) ).
cnf(refute_0_413,plain,
multiply(X_122,X_109) = multiply(X_109,X_122),
inference(subst,[],[refute_0_412:[bind(X_157,$fot(X_109)),bind(X_158,$fot(X_122))]]) ).
cnf(refute_0_414,plain,
( multiply(X_122,X_109) != multiply(X_109,X_122)
| multiply(inverse(X_109),multiply(X_122,X_109)) != X_122
| multiply(inverse(X_109),multiply(X_109,X_122)) = X_122 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_109),multiply(X_122,X_109)),X_122) ),[0,1],$fot(multiply(X_109,X_122))]]) ).
cnf(refute_0_415,plain,
( multiply(inverse(X_109),multiply(X_122,X_109)) != X_122
| multiply(inverse(X_109),multiply(X_109,X_122)) = X_122 ),
inference(resolve,[$cnf( $equal(multiply(X_122,X_109),multiply(X_109,X_122)) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
multiply(inverse(X_109),multiply(X_109,X_122)) = X_122,
inference(resolve,[$cnf( $equal(multiply(inverse(X_109),multiply(X_122,X_109)),X_122) )],[refute_0_142,refute_0_415]) ).
cnf(refute_0_417,plain,
multiply(inverse(double_divide(X_244,X_245)),multiply(double_divide(X_244,X_245),multiply(X_246,multiply(X_244,X_245)))) = multiply(X_246,multiply(X_244,X_245)),
inference(subst,[],[refute_0_416:[bind(X_109,$fot(double_divide(X_244,X_245))),bind(X_122,$fot(multiply(X_246,multiply(X_244,X_245))))]]) ).
cnf(refute_0_418,plain,
double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),double_divide(multiply(inverse(B),inverse(multiply(X_40,X_41))),multiply(X_40,X_41)))) = double_divide(X_41,X_40),
inference(subst,[],[refute_0_153:[bind(X_2,$fot(multiply(inverse(B),inverse(multiply(X_40,X_41))))),bind(X_3,$fot(X_39)),bind(X_8,$fot(X_40)),bind(X_9,$fot(X_41))]]) ).
cnf(refute_0_419,plain,
double_divide(multiply(inverse(B),inverse(multiply(X_40,X_41))),multiply(X_40,X_41)) = B,
inference(subst,[],[refute_0_114:[bind(X_3,$fot(multiply(X_40,X_41)))]]) ).
cnf(refute_0_420,plain,
( double_divide(multiply(inverse(B),inverse(multiply(X_40,X_41))),multiply(X_40,X_41)) != B
| double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),double_divide(multiply(inverse(B),inverse(multiply(X_40,X_41))),multiply(X_40,X_41)))) != double_divide(X_41,X_40)
| double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)) = double_divide(X_41,X_40) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),double_divide(multiply(inverse(B),inverse(multiply(X_40,X_41))),multiply(X_40,X_41)))),double_divide(X_41,X_40)) ),[0,1,1],$fot(B)]]) ).
cnf(refute_0_421,plain,
( double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),double_divide(multiply(inverse(B),inverse(multiply(X_40,X_41))),multiply(X_40,X_41)))) != double_divide(X_41,X_40)
| double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)) = double_divide(X_41,X_40) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(B),inverse(multiply(X_40,X_41))),multiply(X_40,X_41)),B) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)) = double_divide(X_41,X_40),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),double_divide(multiply(inverse(B),inverse(multiply(X_40,X_41))),multiply(X_40,X_41)))),double_divide(X_41,X_40)) )],[refute_0_418,refute_0_421]) ).
cnf(refute_0_423,plain,
multiply(inverse(B),inverse(multiply(X_40,X_41))) = double_divide(B,multiply(X_40,X_41)),
inference(subst,[],[refute_0_248:[bind(X_115,$fot(multiply(X_40,X_41))),bind(X_125,$fot(B))]]) ).
cnf(refute_0_424,plain,
multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))) = multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))))]]) ).
cnf(refute_0_425,plain,
( multiply(inverse(B),inverse(multiply(X_40,X_41))) != double_divide(B,multiply(X_40,X_41))
| multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))) != multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41))))
| multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))) = multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41))))) ),[1,1],$fot(double_divide(B,multiply(X_40,X_41)))]]) ).
cnf(refute_0_426,plain,
( multiply(inverse(B),inverse(multiply(X_40,X_41))) != double_divide(B,multiply(X_40,X_41))
| multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))) = multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41))))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))) = multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))),
inference(resolve,[$cnf( $equal(multiply(inverse(B),inverse(multiply(X_40,X_41))),double_divide(B,multiply(X_40,X_41))) )],[refute_0_423,refute_0_426]) ).
cnf(refute_0_428,plain,
multiply(B,multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41))))) = multiply(B,multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41))))),
introduced(tautology,[refl,[$fot(multiply(B,multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41))))))]]) ).
cnf(refute_0_429,plain,
( multiply(B,multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41))))) != multiply(B,multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))))
| multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))) != multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41)))
| multiply(B,multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41))))) = multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41))))),multiply(B,multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))))) ),[1,1],$fot(multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))))]]) ).
cnf(refute_0_430,plain,
( multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))) != multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41)))
| multiply(B,multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41))))) = multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41)))) ),
inference(resolve,[$cnf( $equal(multiply(B,multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41))))),multiply(B,multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))))) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
multiply(B,multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41))))) = multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41)))) )],[refute_0_427,refute_0_430]) ).
cnf(refute_0_432,plain,
inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)) = multiply(B,multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41))))),
inference(subst,[],[refute_0_5:[bind(A,$fot(B)),bind(B,$fot(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41))))))]]) ).
cnf(refute_0_433,plain,
( multiply(B,multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41))))) != multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))))
| inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)) != multiply(B,multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))))
| inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)) = multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41)))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)))),bind(Y,$fot(multiply(B,multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41))))))),bind(Z,$fot(multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))))))]]) ).
cnf(refute_0_434,plain,
( multiply(B,multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41))))) != multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))))
| inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)) = multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41)))) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)),multiply(B,multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)) = multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41)))),
inference(resolve,[$cnf( $equal(multiply(B,multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41))))),multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))))) )],[refute_0_431,refute_0_434]) ).
cnf(refute_0_436,plain,
multiply(X_39,inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B))) = multiply(X_39,inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B))),
introduced(tautology,[refl,[$fot(multiply(X_39,inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B))))]]) ).
cnf(refute_0_437,plain,
( multiply(X_39,inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B))) != multiply(X_39,inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)))
| inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)) != multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))))
| multiply(X_39,inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B))) = multiply(X_39,multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B))),multiply(X_39,inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)))) ),[1,1],$fot(multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41)))))]]) ).
cnf(refute_0_438,plain,
( inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)) != multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))))
| multiply(X_39,inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B))) = multiply(X_39,multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))))) ),
inference(resolve,[$cnf( $equal(multiply(X_39,inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B))),multiply(X_39,inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
multiply(X_39,inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B))) = multiply(X_39,multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))))),
inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)),multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))))) )],[refute_0_435,refute_0_438]) ).
cnf(refute_0_440,plain,
double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)) = multiply(X_39,inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B))),
inference(subst,[],[refute_0_304:[bind(X_115,$fot(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B))),bind(X_121,$fot(X_39))]]) ).
cnf(refute_0_441,plain,
( multiply(X_39,inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B))) != multiply(X_39,multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41)))))
| double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)) != multiply(X_39,inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)))
| double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)) = multiply(X_39,multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)))),bind(Y,$fot(multiply(X_39,inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B))))),bind(Z,$fot(multiply(X_39,multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41)))))))]]) ).
cnf(refute_0_442,plain,
( multiply(X_39,inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B))) != multiply(X_39,multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41)))))
| double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)) = multiply(X_39,multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)),multiply(X_39,inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)))) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)) = multiply(X_39,multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))))),
inference(resolve,[$cnf( $equal(multiply(X_39,inverse(double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B))),multiply(X_39,multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41)))))) )],[refute_0_439,refute_0_442]) ).
cnf(refute_0_444,plain,
( double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)) != multiply(X_39,multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41)))))
| double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)) != double_divide(X_41,X_40)
| multiply(X_39,multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))))) = double_divide(X_41,X_40) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)),double_divide(X_41,X_40)) ),[0],$fot(multiply(X_39,multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))))))]]) ).
cnf(refute_0_445,plain,
( double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)) != double_divide(X_41,X_40)
| multiply(X_39,multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))))) = double_divide(X_41,X_40) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)),multiply(X_39,multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41)))))) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
multiply(X_39,multiply(B,multiply(inverse(X_39),double_divide(B,multiply(X_40,X_41))))) = double_divide(X_41,X_40),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_39),double_divide(multiply(inverse(X_39),multiply(inverse(B),inverse(multiply(X_40,X_41)))),B)),double_divide(X_41,X_40)) )],[refute_0_422,refute_0_445]) ).
cnf(refute_0_447,plain,
multiply(inverse(X_109),multiply(X_127,multiply(inverse(inverse(X_109)),double_divide(X_127,multiply(X_129,X_130))))) = double_divide(X_130,X_129),
inference(subst,[],[refute_0_446:[bind(B,$fot(X_127)),bind(X_39,$fot(inverse(X_109))),bind(X_40,$fot(X_129)),bind(X_41,$fot(X_130))]]) ).
cnf(refute_0_448,plain,
( multiply(inverse(X_109),multiply(X_127,multiply(inverse(inverse(X_109)),double_divide(X_127,multiply(X_129,X_130))))) != double_divide(X_130,X_129)
| inverse(inverse(X_109)) != X_109
| multiply(inverse(X_109),multiply(X_127,multiply(X_109,double_divide(X_127,multiply(X_129,X_130))))) = double_divide(X_130,X_129) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_109),multiply(X_127,multiply(inverse(inverse(X_109)),double_divide(X_127,multiply(X_129,X_130))))),double_divide(X_130,X_129)) ),[0,1,1,0],$fot(X_109)]]) ).
cnf(refute_0_449,plain,
( multiply(inverse(X_109),multiply(X_127,multiply(inverse(inverse(X_109)),double_divide(X_127,multiply(X_129,X_130))))) != double_divide(X_130,X_129)
| multiply(inverse(X_109),multiply(X_127,multiply(X_109,double_divide(X_127,multiply(X_129,X_130))))) = double_divide(X_130,X_129) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_109)),X_109) )],[refute_0_139,refute_0_448]) ).
cnf(refute_0_450,plain,
multiply(inverse(X_109),multiply(X_127,multiply(X_109,double_divide(X_127,multiply(X_129,X_130))))) = double_divide(X_130,X_129),
inference(resolve,[$cnf( $equal(multiply(inverse(X_109),multiply(X_127,multiply(inverse(inverse(X_109)),double_divide(X_127,multiply(X_129,X_130))))),double_divide(X_130,X_129)) )],[refute_0_447,refute_0_449]) ).
cnf(refute_0_451,plain,
multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,multiply(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),X_122)))))) = double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122)),
inference(subst,[],[refute_0_450:[bind(X_109,$fot(X_210)),bind(X_127,$fot(X_211)),bind(X_129,$fot(multiply(X_166,X_122))),bind(X_130,$fot(double_divide(multiply(X_164,X_166),X_122)))]]) ).
cnf(refute_0_452,plain,
multiply(X_139,multiply(inverse(X_142),double_divide(multiply(inverse(X_142),X_139),multiply(inverse(X_109),multiply(X_122,X_109))))) = double_divide(multiply(X_122,X_109),inverse(X_109)),
inference(subst,[],[refute_0_319:[bind(X_39,$fot(X_139)),bind(X_40,$fot(inverse(X_109))),bind(X_41,$fot(multiply(X_122,X_109))),bind(X_6,$fot(X_142))]]) ).
cnf(refute_0_453,plain,
( multiply(X_139,multiply(inverse(X_142),double_divide(multiply(inverse(X_142),X_139),multiply(inverse(X_109),multiply(X_122,X_109))))) != double_divide(multiply(X_122,X_109),inverse(X_109))
| multiply(inverse(X_109),multiply(X_122,X_109)) != X_122
| multiply(X_139,multiply(inverse(X_142),double_divide(multiply(inverse(X_142),X_139),X_122))) = double_divide(multiply(X_122,X_109),inverse(X_109)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_139,multiply(inverse(X_142),double_divide(multiply(inverse(X_142),X_139),multiply(inverse(X_109),multiply(X_122,X_109))))),double_divide(multiply(X_122,X_109),inverse(X_109))) ),[0,1,1,1],$fot(X_122)]]) ).
cnf(refute_0_454,plain,
( multiply(X_139,multiply(inverse(X_142),double_divide(multiply(inverse(X_142),X_139),multiply(inverse(X_109),multiply(X_122,X_109))))) != double_divide(multiply(X_122,X_109),inverse(X_109))
| multiply(X_139,multiply(inverse(X_142),double_divide(multiply(inverse(X_142),X_139),X_122))) = double_divide(multiply(X_122,X_109),inverse(X_109)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_109),multiply(X_122,X_109)),X_122) )],[refute_0_142,refute_0_453]) ).
cnf(refute_0_455,plain,
multiply(X_139,multiply(inverse(X_142),double_divide(multiply(inverse(X_142),X_139),X_122))) = double_divide(multiply(X_122,X_109),inverse(X_109)),
inference(resolve,[$cnf( $equal(multiply(X_139,multiply(inverse(X_142),double_divide(multiply(inverse(X_142),X_139),multiply(inverse(X_109),multiply(X_122,X_109))))),double_divide(multiply(X_122,X_109),inverse(X_109))) )],[refute_0_452,refute_0_454]) ).
cnf(refute_0_456,plain,
multiply(double_divide(multiply(inverse(X_33),inverse(inverse(X_3))),X_4),multiply(X_4,multiply(inverse(X_3),multiply(inverse(X_33),inverse(inverse(X_3)))))) = inverse(X_3),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(multiply(inverse(X_33),inverse(inverse(X_3)))))]]) ).
cnf(refute_0_457,plain,
multiply(inverse(X_3),multiply(inverse(X_33),inverse(inverse(X_3)))) = inverse(X_33),
inference(subst,[],[refute_0_48:[bind(B,$fot(inverse(X_3))),bind(X_6,$fot(X_33))]]) ).
cnf(refute_0_458,plain,
( multiply(double_divide(multiply(inverse(X_33),inverse(inverse(X_3))),X_4),multiply(X_4,multiply(inverse(X_3),multiply(inverse(X_33),inverse(inverse(X_3)))))) != inverse(X_3)
| multiply(inverse(X_3),multiply(inverse(X_33),inverse(inverse(X_3)))) != inverse(X_33)
| multiply(double_divide(multiply(inverse(X_33),inverse(inverse(X_3))),X_4),multiply(X_4,inverse(X_33))) = inverse(X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_33),inverse(inverse(X_3))),X_4),multiply(X_4,multiply(inverse(X_3),multiply(inverse(X_33),inverse(inverse(X_3)))))),inverse(X_3)) ),[0,1,1],$fot(inverse(X_33))]]) ).
cnf(refute_0_459,plain,
( multiply(double_divide(multiply(inverse(X_33),inverse(inverse(X_3))),X_4),multiply(X_4,multiply(inverse(X_3),multiply(inverse(X_33),inverse(inverse(X_3)))))) != inverse(X_3)
| multiply(double_divide(multiply(inverse(X_33),inverse(inverse(X_3))),X_4),multiply(X_4,inverse(X_33))) = inverse(X_3) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),multiply(inverse(X_33),inverse(inverse(X_3)))),inverse(X_33)) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
multiply(double_divide(multiply(inverse(X_33),inverse(inverse(X_3))),X_4),multiply(X_4,inverse(X_33))) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_33),inverse(inverse(X_3))),X_4),multiply(X_4,multiply(inverse(X_3),multiply(inverse(X_33),inverse(inverse(X_3)))))),inverse(X_3)) )],[refute_0_456,refute_0_459]) ).
cnf(refute_0_461,plain,
multiply(double_divide(multiply(inverse(X_98),inverse(inverse(X_97))),double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98))),multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))) = inverse(X_97),
inference(subst,[],[refute_0_460:[bind(X_3,$fot(X_97)),bind(X_33,$fot(X_98)),bind(X_4,$fot(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98))))]]) ).
cnf(refute_0_462,plain,
double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_33),inverse(inverse(B))))),double_divide(multiply(inverse(X_33),inverse(inverse(B))),C)) = B,
inference(subst,[],[refute_0_23:[bind(A,$fot(multiply(inverse(X_33),inverse(inverse(B)))))]]) ).
cnf(refute_0_463,plain,
multiply(inverse(B),multiply(inverse(X_33),inverse(inverse(B)))) = inverse(X_33),
inference(subst,[],[refute_0_48:[bind(B,$fot(inverse(B))),bind(X_6,$fot(X_33))]]) ).
cnf(refute_0_464,plain,
( multiply(inverse(B),multiply(inverse(X_33),inverse(inverse(B)))) != inverse(X_33)
| double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_33),inverse(inverse(B))))),double_divide(multiply(inverse(X_33),inverse(inverse(B))),C)) != B
| double_divide(multiply(C,inverse(X_33)),double_divide(multiply(inverse(X_33),inverse(inverse(B))),C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_33),inverse(inverse(B))))),double_divide(multiply(inverse(X_33),inverse(inverse(B))),C)),B) ),[0,0,1],$fot(inverse(X_33))]]) ).
cnf(refute_0_465,plain,
( double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_33),inverse(inverse(B))))),double_divide(multiply(inverse(X_33),inverse(inverse(B))),C)) != B
| double_divide(multiply(C,inverse(X_33)),double_divide(multiply(inverse(X_33),inverse(inverse(B))),C)) = B ),
inference(resolve,[$cnf( $equal(multiply(inverse(B),multiply(inverse(X_33),inverse(inverse(B)))),inverse(X_33)) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
double_divide(multiply(C,inverse(X_33)),double_divide(multiply(inverse(X_33),inverse(inverse(B))),C)) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_33),inverse(inverse(B))))),double_divide(multiply(inverse(X_33),inverse(inverse(B))),C)),B) )],[refute_0_462,refute_0_465]) ).
cnf(refute_0_467,plain,
double_divide(multiply(inverse(X_98),inverse(inverse(X_97))),double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98))) = B,
inference(subst,[],[refute_0_466:[bind(C,$fot(inverse(X_98))),bind(X_33,$fot(inverse(X_97)))]]) ).
cnf(refute_0_468,plain,
( multiply(double_divide(multiply(inverse(X_98),inverse(inverse(X_97))),double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98))),multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))) != inverse(X_97)
| double_divide(multiply(inverse(X_98),inverse(inverse(X_97))),double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98))) != B
| multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))) = inverse(X_97) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_98),inverse(inverse(X_97))),double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98))),multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))),inverse(X_97)) ),[0,0],$fot(B)]]) ).
cnf(refute_0_469,plain,
( multiply(double_divide(multiply(inverse(X_98),inverse(inverse(X_97))),double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98))),multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))) != inverse(X_97)
| multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))) = inverse(X_97) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_98),inverse(inverse(X_97))),double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98))),B) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))) = inverse(X_97),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_98),inverse(inverse(X_97))),double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98))),multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))),inverse(X_97)) )],[refute_0_461,refute_0_469]) ).
cnf(refute_0_471,plain,
inverse(inverse(X_97)) = X_97,
inference(subst,[],[refute_0_139:[bind(X_109,$fot(X_97))]]) ).
cnf(refute_0_472,plain,
double_divide(B,inverse(inverse(X_97))) = double_divide(B,inverse(inverse(X_97))),
introduced(tautology,[refl,[$fot(double_divide(B,inverse(inverse(X_97))))]]) ).
cnf(refute_0_473,plain,
( double_divide(B,inverse(inverse(X_97))) != double_divide(B,inverse(inverse(X_97)))
| inverse(inverse(X_97)) != X_97
| double_divide(B,inverse(inverse(X_97))) = double_divide(B,X_97) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(B,inverse(inverse(X_97))),double_divide(B,inverse(inverse(X_97)))) ),[1,1],$fot(X_97)]]) ).
cnf(refute_0_474,plain,
( inverse(inverse(X_97)) != X_97
| double_divide(B,inverse(inverse(X_97))) = double_divide(B,X_97) ),
inference(resolve,[$cnf( $equal(double_divide(B,inverse(inverse(X_97))),double_divide(B,inverse(inverse(X_97)))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
double_divide(B,inverse(inverse(X_97))) = double_divide(B,X_97),
inference(resolve,[$cnf( $equal(inverse(inverse(X_97)),X_97) )],[refute_0_471,refute_0_474]) ).
cnf(refute_0_476,plain,
double_divide(inverse(inverse(B)),inverse(inverse(X_97))) = double_divide(inverse(inverse(B)),inverse(inverse(X_97))),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(B)),inverse(inverse(X_97))))]]) ).
cnf(refute_0_477,plain,
( double_divide(inverse(inverse(B)),inverse(inverse(X_97))) != double_divide(inverse(inverse(B)),inverse(inverse(X_97)))
| inverse(inverse(B)) != B
| double_divide(inverse(inverse(B)),inverse(inverse(X_97))) = double_divide(B,inverse(inverse(X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(B)),inverse(inverse(X_97))),double_divide(inverse(inverse(B)),inverse(inverse(X_97)))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_478,plain,
( inverse(inverse(B)) != B
| double_divide(inverse(inverse(B)),inverse(inverse(X_97))) = double_divide(B,inverse(inverse(X_97))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(B)),inverse(inverse(X_97))),double_divide(inverse(inverse(B)),inverse(inverse(X_97)))) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
double_divide(inverse(inverse(B)),inverse(inverse(X_97))) = double_divide(B,inverse(inverse(X_97))),
inference(resolve,[$cnf( $equal(inverse(inverse(B)),B) )],[refute_0_169,refute_0_478]) ).
cnf(refute_0_480,plain,
( double_divide(B,inverse(inverse(X_97))) != double_divide(B,X_97)
| double_divide(inverse(inverse(B)),inverse(inverse(X_97))) != double_divide(B,inverse(inverse(X_97)))
| double_divide(inverse(inverse(B)),inverse(inverse(X_97))) = double_divide(B,X_97) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(inverse(inverse(B)),inverse(inverse(X_97))))),bind(Y,$fot(double_divide(B,inverse(inverse(X_97))))),bind(Z,$fot(double_divide(B,X_97)))]]) ).
cnf(refute_0_481,plain,
( double_divide(B,inverse(inverse(X_97))) != double_divide(B,X_97)
| double_divide(inverse(inverse(B)),inverse(inverse(X_97))) = double_divide(B,X_97) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(B)),inverse(inverse(X_97))),double_divide(B,inverse(inverse(X_97)))) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
double_divide(inverse(inverse(B)),inverse(inverse(X_97))) = double_divide(B,X_97),
inference(resolve,[$cnf( $equal(double_divide(B,inverse(inverse(X_97))),double_divide(B,X_97)) )],[refute_0_475,refute_0_481]) ).
cnf(refute_0_483,plain,
inverse(multiply(inverse(inverse(X_97)),inverse(inverse(B)))) = double_divide(inverse(inverse(B)),inverse(inverse(X_97))),
inference(subst,[],[refute_0_192:[bind(X_8,$fot(inverse(inverse(X_97)))),bind(X_9,$fot(inverse(inverse(B))))]]) ).
cnf(refute_0_484,plain,
multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)) = inverse(double_divide(inverse(X_58),double_divide(inverse(inverse(X_57)),inverse(X_58)))),
inference(subst,[],[multiply:[bind(A,$fot(double_divide(inverse(inverse(X_57)),inverse(X_58)))),bind(B,$fot(inverse(X_58)))]]) ).
cnf(refute_0_485,plain,
double_divide(multiply(inverse(X_30),inverse(double_divide(B,A))),double_divide(B,A)) = X_30,
inference(subst,[],[refute_0_114:[bind(B,$fot(X_30)),bind(X_3,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_486,plain,
( double_divide(multiply(inverse(X_30),inverse(double_divide(B,A))),double_divide(B,A)) != X_30
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(inverse(X_30),multiply(A,B)),double_divide(B,A)) = X_30 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_30),inverse(double_divide(B,A))),double_divide(B,A)),X_30) ),[0,0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_487,plain,
( double_divide(multiply(inverse(X_30),inverse(double_divide(B,A))),double_divide(B,A)) != X_30
| double_divide(multiply(inverse(X_30),multiply(A,B)),double_divide(B,A)) = X_30 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_486]) ).
cnf(refute_0_488,plain,
double_divide(multiply(inverse(X_30),multiply(A,B)),double_divide(B,A)) = X_30,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_30),inverse(double_divide(B,A))),double_divide(B,A)),X_30) )],[refute_0_485,refute_0_487]) ).
cnf(refute_0_489,plain,
double_divide(multiply(inverse(X_56),multiply(inverse(X_6),inverse(inverse(X_56)))),double_divide(inverse(inverse(X_56)),inverse(X_6))) = X_56,
inference(subst,[],[refute_0_488:[bind(A,$fot(inverse(X_6))),bind(B,$fot(inverse(inverse(X_56)))),bind(X_30,$fot(X_56))]]) ).
cnf(refute_0_490,plain,
multiply(inverse(X_56),multiply(inverse(X_6),inverse(inverse(X_56)))) = inverse(X_6),
inference(subst,[],[refute_0_48:[bind(B,$fot(inverse(X_56)))]]) ).
cnf(refute_0_491,plain,
( multiply(inverse(X_56),multiply(inverse(X_6),inverse(inverse(X_56)))) != inverse(X_6)
| double_divide(multiply(inverse(X_56),multiply(inverse(X_6),inverse(inverse(X_56)))),double_divide(inverse(inverse(X_56)),inverse(X_6))) != X_56
| double_divide(inverse(X_6),double_divide(inverse(inverse(X_56)),inverse(X_6))) = X_56 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_56),multiply(inverse(X_6),inverse(inverse(X_56)))),double_divide(inverse(inverse(X_56)),inverse(X_6))),X_56) ),[0,0],$fot(inverse(X_6))]]) ).
cnf(refute_0_492,plain,
( double_divide(multiply(inverse(X_56),multiply(inverse(X_6),inverse(inverse(X_56)))),double_divide(inverse(inverse(X_56)),inverse(X_6))) != X_56
| double_divide(inverse(X_6),double_divide(inverse(inverse(X_56)),inverse(X_6))) = X_56 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),multiply(inverse(X_6),inverse(inverse(X_56)))),inverse(X_6)) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
double_divide(inverse(X_6),double_divide(inverse(inverse(X_56)),inverse(X_6))) = X_56,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_56),multiply(inverse(X_6),inverse(inverse(X_56)))),double_divide(inverse(inverse(X_56)),inverse(X_6))),X_56) )],[refute_0_489,refute_0_492]) ).
cnf(refute_0_494,plain,
double_divide(inverse(X_58),double_divide(inverse(inverse(X_57)),inverse(X_58))) = X_57,
inference(subst,[],[refute_0_493:[bind(X_56,$fot(X_57)),bind(X_6,$fot(X_58))]]) ).
cnf(refute_0_495,plain,
( multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)) != inverse(double_divide(inverse(X_58),double_divide(inverse(inverse(X_57)),inverse(X_58))))
| double_divide(inverse(X_58),double_divide(inverse(inverse(X_57)),inverse(X_58))) != X_57
| multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)) = inverse(X_57) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)),inverse(double_divide(inverse(X_58),double_divide(inverse(inverse(X_57)),inverse(X_58))))) ),[1,0],$fot(X_57)]]) ).
cnf(refute_0_496,plain,
( multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)) != inverse(double_divide(inverse(X_58),double_divide(inverse(inverse(X_57)),inverse(X_58))))
| multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)) = inverse(X_57) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_58),double_divide(inverse(inverse(X_57)),inverse(X_58))),X_57) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)) = inverse(X_57),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)),inverse(double_divide(inverse(X_58),double_divide(inverse(inverse(X_57)),inverse(X_58))))) )],[refute_0_484,refute_0_496]) ).
cnf(refute_0_498,plain,
inverse(inverse(X_57)) = X_57,
inference(subst,[],[refute_0_139:[bind(X_109,$fot(X_57))]]) ).
cnf(refute_0_499,plain,
double_divide(inverse(inverse(X_57)),inverse(X_58)) = double_divide(inverse(inverse(X_57)),inverse(X_58)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(X_57)),inverse(X_58)))]]) ).
cnf(refute_0_500,plain,
( double_divide(inverse(inverse(X_57)),inverse(X_58)) != double_divide(inverse(inverse(X_57)),inverse(X_58))
| inverse(inverse(X_57)) != X_57
| double_divide(inverse(inverse(X_57)),inverse(X_58)) = double_divide(X_57,inverse(X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_57)),inverse(X_58)),double_divide(inverse(inverse(X_57)),inverse(X_58))) ),[1,0],$fot(X_57)]]) ).
cnf(refute_0_501,plain,
( inverse(inverse(X_57)) != X_57
| double_divide(inverse(inverse(X_57)),inverse(X_58)) = double_divide(X_57,inverse(X_58)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_57)),inverse(X_58)),double_divide(inverse(inverse(X_57)),inverse(X_58))) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
double_divide(inverse(inverse(X_57)),inverse(X_58)) = double_divide(X_57,inverse(X_58)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_57)),X_57) )],[refute_0_498,refute_0_501]) ).
cnf(refute_0_503,plain,
multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)) = multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)))]]) ).
cnf(refute_0_504,plain,
( multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)) != multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58))
| double_divide(inverse(inverse(X_57)),inverse(X_58)) != double_divide(X_57,inverse(X_58))
| multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)) = multiply(double_divide(X_57,inverse(X_58)),inverse(X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)),multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58))) ),[1,0],$fot(double_divide(X_57,inverse(X_58)))]]) ).
cnf(refute_0_505,plain,
( double_divide(inverse(inverse(X_57)),inverse(X_58)) != double_divide(X_57,inverse(X_58))
| multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)) = multiply(double_divide(X_57,inverse(X_58)),inverse(X_58)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)),multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58))) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)) = multiply(double_divide(X_57,inverse(X_58)),inverse(X_58)),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_57)),inverse(X_58)),double_divide(X_57,inverse(X_58))) )],[refute_0_502,refute_0_505]) ).
cnf(refute_0_507,plain,
( multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)) != multiply(double_divide(X_57,inverse(X_58)),inverse(X_58))
| multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)) != inverse(X_57)
| multiply(double_divide(X_57,inverse(X_58)),inverse(X_58)) = inverse(X_57) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)),inverse(X_57)) ),[0],$fot(multiply(double_divide(X_57,inverse(X_58)),inverse(X_58)))]]) ).
cnf(refute_0_508,plain,
( multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)) != inverse(X_57)
| multiply(double_divide(X_57,inverse(X_58)),inverse(X_58)) = inverse(X_57) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)),multiply(double_divide(X_57,inverse(X_58)),inverse(X_58))) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
multiply(double_divide(X_57,inverse(X_58)),inverse(X_58)) = inverse(X_57),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_57)),inverse(X_58)),inverse(X_58)),inverse(X_57)) )],[refute_0_497,refute_0_508]) ).
cnf(refute_0_510,plain,
multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98)) = inverse(multiply(inverse(inverse(X_97)),inverse(inverse(B)))),
inference(subst,[],[refute_0_509:[bind(X_57,$fot(multiply(inverse(inverse(X_97)),inverse(inverse(B))))),bind(X_58,$fot(X_98))]]) ).
cnf(refute_0_511,plain,
( multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98)) != inverse(multiply(inverse(inverse(X_97)),inverse(inverse(B))))
| inverse(multiply(inverse(inverse(X_97)),inverse(inverse(B)))) != double_divide(inverse(inverse(B)),inverse(inverse(X_97)))
| multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98)) = double_divide(inverse(inverse(B)),inverse(inverse(X_97))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98)))),bind(Y,$fot(inverse(multiply(inverse(inverse(X_97)),inverse(inverse(B)))))),bind(Z,$fot(double_divide(inverse(inverse(B)),inverse(inverse(X_97)))))]]) ).
cnf(refute_0_512,plain,
( inverse(multiply(inverse(inverse(X_97)),inverse(inverse(B)))) != double_divide(inverse(inverse(B)),inverse(inverse(X_97)))
| multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98)) = double_divide(inverse(inverse(B)),inverse(inverse(X_97))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98)),inverse(multiply(inverse(inverse(X_97)),inverse(inverse(B))))) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98)) = double_divide(inverse(inverse(B)),inverse(inverse(X_97))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_97)),inverse(inverse(B)))),double_divide(inverse(inverse(B)),inverse(inverse(X_97)))) )],[refute_0_483,refute_0_512]) ).
cnf(refute_0_514,plain,
( multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98)) != double_divide(inverse(inverse(B)),inverse(inverse(X_97)))
| double_divide(inverse(inverse(B)),inverse(inverse(X_97))) != double_divide(B,X_97)
| multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98)) = double_divide(B,X_97) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98)))),bind(Y,$fot(double_divide(inverse(inverse(B)),inverse(inverse(X_97))))),bind(Z,$fot(double_divide(B,X_97)))]]) ).
cnf(refute_0_515,plain,
( double_divide(inverse(inverse(B)),inverse(inverse(X_97))) != double_divide(B,X_97)
| multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98)) = double_divide(B,X_97) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98)),double_divide(inverse(inverse(B)),inverse(inverse(X_97)))) )],[refute_0_513,refute_0_514]) ).
cnf(refute_0_516,plain,
multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98)) = double_divide(B,X_97),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(B)),inverse(inverse(X_97))),double_divide(B,X_97)) )],[refute_0_482,refute_0_515]) ).
cnf(refute_0_517,plain,
multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))) = multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))),
introduced(tautology,[refl,[$fot(multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))))]]) ).
cnf(refute_0_518,plain,
( multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))) != multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98)))
| multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98)) != double_divide(B,X_97)
| multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))) = multiply(B,double_divide(B,X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))),multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98)))) ),[1,1],$fot(double_divide(B,X_97))]]) ).
cnf(refute_0_519,plain,
( multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98)) != double_divide(B,X_97)
| multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))) = multiply(B,double_divide(B,X_97)) ),
inference(resolve,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))),multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98)))) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))) = multiply(B,double_divide(B,X_97)),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98)),double_divide(B,X_97)) )],[refute_0_516,refute_0_519]) ).
cnf(refute_0_521,plain,
( multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))) != multiply(B,double_divide(B,X_97))
| multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))) != inverse(X_97)
| multiply(B,double_divide(B,X_97)) = inverse(X_97) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))),inverse(X_97)) ),[0],$fot(multiply(B,double_divide(B,X_97)))]]) ).
cnf(refute_0_522,plain,
( multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))) != inverse(X_97)
| multiply(B,double_divide(B,X_97)) = inverse(X_97) ),
inference(resolve,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))),multiply(B,double_divide(B,X_97))) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
multiply(B,double_divide(B,X_97)) = inverse(X_97),
inference(resolve,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(inverse(inverse(X_97)),inverse(inverse(B))),inverse(X_98)),inverse(X_98))),inverse(X_97)) )],[refute_0_470,refute_0_522]) ).
cnf(refute_0_524,plain,
multiply(X_109,double_divide(X_109,X_122)) = inverse(X_122),
inference(subst,[],[refute_0_523:[bind(B,$fot(X_109)),bind(X_97,$fot(X_122))]]) ).
cnf(refute_0_525,plain,
inverse(multiply(X_122,X_109)) = double_divide(X_109,X_122),
inference(subst,[],[refute_0_192:[bind(X_8,$fot(X_122)),bind(X_9,$fot(X_109))]]) ).
cnf(refute_0_526,plain,
multiply(X_109,inverse(multiply(X_122,X_109))) = multiply(X_109,inverse(multiply(X_122,X_109))),
introduced(tautology,[refl,[$fot(multiply(X_109,inverse(multiply(X_122,X_109))))]]) ).
cnf(refute_0_527,plain,
( multiply(X_109,inverse(multiply(X_122,X_109))) != multiply(X_109,inverse(multiply(X_122,X_109)))
| inverse(multiply(X_122,X_109)) != double_divide(X_109,X_122)
| multiply(X_109,inverse(multiply(X_122,X_109))) = multiply(X_109,double_divide(X_109,X_122)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_109,inverse(multiply(X_122,X_109))),multiply(X_109,inverse(multiply(X_122,X_109)))) ),[1,1],$fot(double_divide(X_109,X_122))]]) ).
cnf(refute_0_528,plain,
( inverse(multiply(X_122,X_109)) != double_divide(X_109,X_122)
| multiply(X_109,inverse(multiply(X_122,X_109))) = multiply(X_109,double_divide(X_109,X_122)) ),
inference(resolve,[$cnf( $equal(multiply(X_109,inverse(multiply(X_122,X_109))),multiply(X_109,inverse(multiply(X_122,X_109)))) )],[refute_0_526,refute_0_527]) ).
cnf(refute_0_529,plain,
multiply(X_109,inverse(multiply(X_122,X_109))) = multiply(X_109,double_divide(X_109,X_122)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_122,X_109)),double_divide(X_109,X_122)) )],[refute_0_525,refute_0_528]) ).
cnf(refute_0_530,plain,
( multiply(X_109,double_divide(X_109,X_122)) != inverse(X_122)
| multiply(X_109,inverse(multiply(X_122,X_109))) != multiply(X_109,double_divide(X_109,X_122))
| multiply(X_109,inverse(multiply(X_122,X_109))) = inverse(X_122) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(X_109,inverse(multiply(X_122,X_109))))),bind(Y,$fot(multiply(X_109,double_divide(X_109,X_122)))),bind(Z,$fot(inverse(X_122)))]]) ).
cnf(refute_0_531,plain,
( multiply(X_109,double_divide(X_109,X_122)) != inverse(X_122)
| multiply(X_109,inverse(multiply(X_122,X_109))) = inverse(X_122) ),
inference(resolve,[$cnf( $equal(multiply(X_109,inverse(multiply(X_122,X_109))),multiply(X_109,double_divide(X_109,X_122))) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
multiply(X_109,inverse(multiply(X_122,X_109))) = inverse(X_122),
inference(resolve,[$cnf( $equal(multiply(X_109,double_divide(X_109,X_122)),inverse(X_122)) )],[refute_0_524,refute_0_531]) ).
cnf(refute_0_533,plain,
double_divide(inverse(X_109),multiply(X_122,X_109)) = multiply(X_109,inverse(multiply(X_122,X_109))),
inference(subst,[],[refute_0_304:[bind(X_115,$fot(multiply(X_122,X_109))),bind(X_121,$fot(X_109))]]) ).
cnf(refute_0_534,plain,
double_divide(multiply(X_122,X_109),inverse(X_109)) = double_divide(inverse(X_109),multiply(X_122,X_109)),
inference(subst,[],[refute_0_347:[bind(X_109,$fot(inverse(X_109))),bind(X_131,$fot(multiply(X_122,X_109)))]]) ).
cnf(refute_0_535,plain,
( double_divide(multiply(X_122,X_109),inverse(X_109)) != double_divide(inverse(X_109),multiply(X_122,X_109))
| double_divide(inverse(X_109),multiply(X_122,X_109)) != multiply(X_109,inverse(multiply(X_122,X_109)))
| double_divide(multiply(X_122,X_109),inverse(X_109)) = multiply(X_109,inverse(multiply(X_122,X_109))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(multiply(X_122,X_109),inverse(X_109)))),bind(Y,$fot(double_divide(inverse(X_109),multiply(X_122,X_109)))),bind(Z,$fot(multiply(X_109,inverse(multiply(X_122,X_109)))))]]) ).
cnf(refute_0_536,plain,
( double_divide(inverse(X_109),multiply(X_122,X_109)) != multiply(X_109,inverse(multiply(X_122,X_109)))
| double_divide(multiply(X_122,X_109),inverse(X_109)) = multiply(X_109,inverse(multiply(X_122,X_109))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_122,X_109),inverse(X_109)),double_divide(inverse(X_109),multiply(X_122,X_109))) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
double_divide(multiply(X_122,X_109),inverse(X_109)) = multiply(X_109,inverse(multiply(X_122,X_109))),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_109),multiply(X_122,X_109)),multiply(X_109,inverse(multiply(X_122,X_109)))) )],[refute_0_533,refute_0_536]) ).
cnf(refute_0_538,plain,
( multiply(X_109,inverse(multiply(X_122,X_109))) != inverse(X_122)
| double_divide(multiply(X_122,X_109),inverse(X_109)) != multiply(X_109,inverse(multiply(X_122,X_109)))
| double_divide(multiply(X_122,X_109),inverse(X_109)) = inverse(X_122) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(multiply(X_122,X_109),inverse(X_109)))),bind(Y,$fot(multiply(X_109,inverse(multiply(X_122,X_109))))),bind(Z,$fot(inverse(X_122)))]]) ).
cnf(refute_0_539,plain,
( multiply(X_109,inverse(multiply(X_122,X_109))) != inverse(X_122)
| double_divide(multiply(X_122,X_109),inverse(X_109)) = inverse(X_122) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_122,X_109),inverse(X_109)),multiply(X_109,inverse(multiply(X_122,X_109)))) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
double_divide(multiply(X_122,X_109),inverse(X_109)) = inverse(X_122),
inference(resolve,[$cnf( $equal(multiply(X_109,inverse(multiply(X_122,X_109))),inverse(X_122)) )],[refute_0_532,refute_0_539]) ).
cnf(refute_0_541,plain,
( multiply(X_139,multiply(inverse(X_142),double_divide(multiply(inverse(X_142),X_139),X_122))) != double_divide(multiply(X_122,X_109),inverse(X_109))
| double_divide(multiply(X_122,X_109),inverse(X_109)) != inverse(X_122)
| multiply(X_139,multiply(inverse(X_142),double_divide(multiply(inverse(X_142),X_139),X_122))) = inverse(X_122) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_139,multiply(inverse(X_142),double_divide(multiply(inverse(X_142),X_139),X_122))),inverse(X_122)) ),[0],$fot(double_divide(multiply(X_122,X_109),inverse(X_109)))]]) ).
cnf(refute_0_542,plain,
( multiply(X_139,multiply(inverse(X_142),double_divide(multiply(inverse(X_142),X_139),X_122))) != double_divide(multiply(X_122,X_109),inverse(X_109))
| multiply(X_139,multiply(inverse(X_142),double_divide(multiply(inverse(X_142),X_139),X_122))) = inverse(X_122) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_122,X_109),inverse(X_109)),inverse(X_122)) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
multiply(X_139,multiply(inverse(X_142),double_divide(multiply(inverse(X_142),X_139),X_122))) = inverse(X_122),
inference(resolve,[$cnf( $equal(multiply(X_139,multiply(inverse(X_142),double_divide(multiply(inverse(X_142),X_139),X_122))),double_divide(multiply(X_122,X_109),inverse(X_109))) )],[refute_0_455,refute_0_542]) ).
cnf(refute_0_544,plain,
multiply(X_146,multiply(inverse(X_147),double_divide(multiply(inverse(X_147),X_146),X_145))) = inverse(X_145),
inference(subst,[],[refute_0_543:[bind(X_122,$fot(X_145)),bind(X_139,$fot(X_146)),bind(X_142,$fot(X_147))]]) ).
cnf(refute_0_545,plain,
double_divide(X_145,multiply(inverse(X_147),X_146)) = double_divide(multiply(inverse(X_147),X_146),X_145),
inference(subst,[],[refute_0_252:[bind(X_109,$fot(X_145)),bind(X_131,$fot(multiply(inverse(X_147),X_146)))]]) ).
cnf(refute_0_546,plain,
( double_divide(X_145,multiply(inverse(X_147),X_146)) != double_divide(multiply(inverse(X_147),X_146),X_145)
| double_divide(multiply(inverse(X_147),X_146),X_145) = double_divide(X_145,multiply(inverse(X_147),X_146)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(double_divide(X_145,multiply(inverse(X_147),X_146)))),bind(Y,$fot(double_divide(multiply(inverse(X_147),X_146),X_145)))]]) ).
cnf(refute_0_547,plain,
double_divide(multiply(inverse(X_147),X_146),X_145) = double_divide(X_145,multiply(inverse(X_147),X_146)),
inference(resolve,[$cnf( $equal(double_divide(X_145,multiply(inverse(X_147),X_146)),double_divide(multiply(inverse(X_147),X_146),X_145)) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
( multiply(X_146,multiply(inverse(X_147),double_divide(multiply(inverse(X_147),X_146),X_145))) != inverse(X_145)
| double_divide(multiply(inverse(X_147),X_146),X_145) != double_divide(X_145,multiply(inverse(X_147),X_146))
| multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146)))) = inverse(X_145) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_146,multiply(inverse(X_147),double_divide(multiply(inverse(X_147),X_146),X_145))),inverse(X_145)) ),[0,1,1],$fot(double_divide(X_145,multiply(inverse(X_147),X_146)))]]) ).
cnf(refute_0_549,plain,
( multiply(X_146,multiply(inverse(X_147),double_divide(multiply(inverse(X_147),X_146),X_145))) != inverse(X_145)
| multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146)))) = inverse(X_145) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_147),X_146),X_145),double_divide(X_145,multiply(inverse(X_147),X_146))) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146)))) = inverse(X_145),
inference(resolve,[$cnf( $equal(multiply(X_146,multiply(inverse(X_147),double_divide(multiply(inverse(X_147),X_146),X_145))),inverse(X_145)) )],[refute_0_544,refute_0_549]) ).
cnf(refute_0_551,plain,
multiply(inverse(multiply(X_114,X_147)),multiply(multiply(X_114,X_147),multiply(inverse(X_147),double_divide(X_114,X_145)))) = multiply(inverse(X_147),double_divide(X_114,X_145)),
inference(subst,[],[refute_0_416:[bind(X_109,$fot(multiply(X_114,X_147))),bind(X_122,$fot(multiply(inverse(X_147),double_divide(X_114,X_145))))]]) ).
cnf(refute_0_552,plain,
multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(multiply(inverse(X_147),multiply(X_114,inverse(inverse(X_147)))),X_145))) = inverse(X_145),
inference(subst,[],[refute_0_543:[bind(X_122,$fot(X_145)),bind(X_139,$fot(multiply(X_114,inverse(inverse(X_147))))),bind(X_142,$fot(X_147))]]) ).
cnf(refute_0_553,plain,
multiply(inverse(X_147),multiply(X_114,inverse(inverse(X_147)))) = X_114,
inference(subst,[],[refute_0_136:[bind(B,$fot(inverse(X_147)))]]) ).
cnf(refute_0_554,plain,
( multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(multiply(inverse(X_147),multiply(X_114,inverse(inverse(X_147)))),X_145))) != inverse(X_145)
| multiply(inverse(X_147),multiply(X_114,inverse(inverse(X_147)))) != X_114
| multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145))) = inverse(X_145) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(multiply(inverse(X_147),multiply(X_114,inverse(inverse(X_147)))),X_145))),inverse(X_145)) ),[0,1,1,0],$fot(X_114)]]) ).
cnf(refute_0_555,plain,
( multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(multiply(inverse(X_147),multiply(X_114,inverse(inverse(X_147)))),X_145))) != inverse(X_145)
| multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145))) = inverse(X_145) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_147),multiply(X_114,inverse(inverse(X_147)))),X_114) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145))) = inverse(X_145),
inference(resolve,[$cnf( $equal(multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(multiply(inverse(X_147),multiply(X_114,inverse(inverse(X_147)))),X_145))),inverse(X_145)) )],[refute_0_552,refute_0_555]) ).
cnf(refute_0_557,plain,
inverse(inverse(X_147)) = X_147,
inference(subst,[],[refute_0_139:[bind(X_109,$fot(X_147))]]) ).
cnf(refute_0_558,plain,
multiply(X_114,inverse(inverse(X_147))) = multiply(X_114,inverse(inverse(X_147))),
introduced(tautology,[refl,[$fot(multiply(X_114,inverse(inverse(X_147))))]]) ).
cnf(refute_0_559,plain,
( multiply(X_114,inverse(inverse(X_147))) != multiply(X_114,inverse(inverse(X_147)))
| inverse(inverse(X_147)) != X_147
| multiply(X_114,inverse(inverse(X_147))) = multiply(X_114,X_147) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_114,inverse(inverse(X_147))),multiply(X_114,inverse(inverse(X_147)))) ),[1,1],$fot(X_147)]]) ).
cnf(refute_0_560,plain,
( inverse(inverse(X_147)) != X_147
| multiply(X_114,inverse(inverse(X_147))) = multiply(X_114,X_147) ),
inference(resolve,[$cnf( $equal(multiply(X_114,inverse(inverse(X_147))),multiply(X_114,inverse(inverse(X_147)))) )],[refute_0_558,refute_0_559]) ).
cnf(refute_0_561,plain,
multiply(X_114,inverse(inverse(X_147))) = multiply(X_114,X_147),
inference(resolve,[$cnf( $equal(inverse(inverse(X_147)),X_147) )],[refute_0_557,refute_0_560]) ).
cnf(refute_0_562,plain,
multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145))) = multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145))))]]) ).
cnf(refute_0_563,plain,
( multiply(X_114,inverse(inverse(X_147))) != multiply(X_114,X_147)
| multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145))) != multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145)))
| multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145))) = multiply(multiply(X_114,X_147),multiply(inverse(X_147),double_divide(X_114,X_145))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145))),multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145)))) ),[1,0],$fot(multiply(X_114,X_147))]]) ).
cnf(refute_0_564,plain,
( multiply(X_114,inverse(inverse(X_147))) != multiply(X_114,X_147)
| multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145))) = multiply(multiply(X_114,X_147),multiply(inverse(X_147),double_divide(X_114,X_145))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145))),multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145)))) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145))) = multiply(multiply(X_114,X_147),multiply(inverse(X_147),double_divide(X_114,X_145))),
inference(resolve,[$cnf( $equal(multiply(X_114,inverse(inverse(X_147))),multiply(X_114,X_147)) )],[refute_0_561,refute_0_564]) ).
cnf(refute_0_566,plain,
( multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145))) != multiply(multiply(X_114,X_147),multiply(inverse(X_147),double_divide(X_114,X_145)))
| multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145))) != inverse(X_145)
| multiply(multiply(X_114,X_147),multiply(inverse(X_147),double_divide(X_114,X_145))) = inverse(X_145) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145))),inverse(X_145)) ),[0],$fot(multiply(multiply(X_114,X_147),multiply(inverse(X_147),double_divide(X_114,X_145))))]]) ).
cnf(refute_0_567,plain,
( multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145))) != inverse(X_145)
| multiply(multiply(X_114,X_147),multiply(inverse(X_147),double_divide(X_114,X_145))) = inverse(X_145) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145))),multiply(multiply(X_114,X_147),multiply(inverse(X_147),double_divide(X_114,X_145)))) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
multiply(multiply(X_114,X_147),multiply(inverse(X_147),double_divide(X_114,X_145))) = inverse(X_145),
inference(resolve,[$cnf( $equal(multiply(multiply(X_114,inverse(inverse(X_147))),multiply(inverse(X_147),double_divide(X_114,X_145))),inverse(X_145)) )],[refute_0_556,refute_0_567]) ).
cnf(refute_0_569,plain,
( multiply(multiply(X_114,X_147),multiply(inverse(X_147),double_divide(X_114,X_145))) != inverse(X_145)
| multiply(inverse(multiply(X_114,X_147)),multiply(multiply(X_114,X_147),multiply(inverse(X_147),double_divide(X_114,X_145)))) != multiply(inverse(X_147),double_divide(X_114,X_145))
| multiply(inverse(multiply(X_114,X_147)),inverse(X_145)) = multiply(inverse(X_147),double_divide(X_114,X_145)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_114,X_147)),multiply(multiply(X_114,X_147),multiply(inverse(X_147),double_divide(X_114,X_145)))),multiply(inverse(X_147),double_divide(X_114,X_145))) ),[0,1],$fot(inverse(X_145))]]) ).
cnf(refute_0_570,plain,
( multiply(inverse(multiply(X_114,X_147)),multiply(multiply(X_114,X_147),multiply(inverse(X_147),double_divide(X_114,X_145)))) != multiply(inverse(X_147),double_divide(X_114,X_145))
| multiply(inverse(multiply(X_114,X_147)),inverse(X_145)) = multiply(inverse(X_147),double_divide(X_114,X_145)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_114,X_147),multiply(inverse(X_147),double_divide(X_114,X_145))),inverse(X_145)) )],[refute_0_568,refute_0_569]) ).
cnf(refute_0_571,plain,
multiply(inverse(multiply(X_114,X_147)),inverse(X_145)) = multiply(inverse(X_147),double_divide(X_114,X_145)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_114,X_147)),multiply(multiply(X_114,X_147),multiply(inverse(X_147),double_divide(X_114,X_145)))),multiply(inverse(X_147),double_divide(X_114,X_145))) )],[refute_0_551,refute_0_570]) ).
cnf(refute_0_572,plain,
multiply(inverse(multiply(X_114,X_147)),inverse(X_145)) = double_divide(multiply(X_114,X_147),X_145),
inference(subst,[],[refute_0_248:[bind(X_115,$fot(X_145)),bind(X_125,$fot(multiply(X_114,X_147)))]]) ).
cnf(refute_0_573,plain,
( multiply(inverse(multiply(X_114,X_147)),inverse(X_145)) != multiply(inverse(X_147),double_divide(X_114,X_145))
| multiply(inverse(multiply(X_114,X_147)),inverse(X_145)) != double_divide(multiply(X_114,X_147),X_145)
| double_divide(multiply(X_114,X_147),X_145) = multiply(inverse(X_147),double_divide(X_114,X_145)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_114,X_147)),inverse(X_145)),multiply(inverse(X_147),double_divide(X_114,X_145))) ),[0],$fot(double_divide(multiply(X_114,X_147),X_145))]]) ).
cnf(refute_0_574,plain,
( multiply(inverse(multiply(X_114,X_147)),inverse(X_145)) != multiply(inverse(X_147),double_divide(X_114,X_145))
| double_divide(multiply(X_114,X_147),X_145) = multiply(inverse(X_147),double_divide(X_114,X_145)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_114,X_147)),inverse(X_145)),double_divide(multiply(X_114,X_147),X_145)) )],[refute_0_572,refute_0_573]) ).
cnf(refute_0_575,plain,
double_divide(multiply(X_114,X_147),X_145) = multiply(inverse(X_147),double_divide(X_114,X_145)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_114,X_147)),inverse(X_145)),multiply(inverse(X_147),double_divide(X_114,X_145))) )],[refute_0_571,refute_0_574]) ).
cnf(refute_0_576,plain,
( double_divide(multiply(X_114,X_147),X_145) != multiply(inverse(X_147),double_divide(X_114,X_145))
| multiply(inverse(X_147),double_divide(X_114,X_145)) = double_divide(multiply(X_114,X_147),X_145) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(double_divide(multiply(X_114,X_147),X_145))),bind(Y,$fot(multiply(inverse(X_147),double_divide(X_114,X_145))))]]) ).
cnf(refute_0_577,plain,
multiply(inverse(X_147),double_divide(X_114,X_145)) = double_divide(multiply(X_114,X_147),X_145),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_114,X_147),X_145),multiply(inverse(X_147),double_divide(X_114,X_145))) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146))) = double_divide(multiply(X_145,X_147),multiply(inverse(X_147),X_146)),
inference(subst,[],[refute_0_577:[bind(X_114,$fot(X_145)),bind(X_145,$fot(multiply(inverse(X_147),X_146)))]]) ).
cnf(refute_0_579,plain,
multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146)))) = multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146)))),
introduced(tautology,[refl,[$fot(multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146)))))]]) ).
cnf(refute_0_580,plain,
( multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146)))) != multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146))))
| multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146))) != double_divide(multiply(X_145,X_147),multiply(inverse(X_147),X_146))
| multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146)))) = multiply(X_146,double_divide(multiply(X_145,X_147),multiply(inverse(X_147),X_146))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146)))),multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146))))) ),[1,1],$fot(double_divide(multiply(X_145,X_147),multiply(inverse(X_147),X_146)))]]) ).
cnf(refute_0_581,plain,
( multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146))) != double_divide(multiply(X_145,X_147),multiply(inverse(X_147),X_146))
| multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146)))) = multiply(X_146,double_divide(multiply(X_145,X_147),multiply(inverse(X_147),X_146))) ),
inference(resolve,[$cnf( $equal(multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146)))),multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146))))) )],[refute_0_579,refute_0_580]) ).
cnf(refute_0_582,plain,
multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146)))) = multiply(X_146,double_divide(multiply(X_145,X_147),multiply(inverse(X_147),X_146))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146))),double_divide(multiply(X_145,X_147),multiply(inverse(X_147),X_146))) )],[refute_0_578,refute_0_581]) ).
cnf(refute_0_583,plain,
( multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146)))) != multiply(X_146,double_divide(multiply(X_145,X_147),multiply(inverse(X_147),X_146)))
| multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146)))) != inverse(X_145)
| multiply(X_146,double_divide(multiply(X_145,X_147),multiply(inverse(X_147),X_146))) = inverse(X_145) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146)))),inverse(X_145)) ),[0],$fot(multiply(X_146,double_divide(multiply(X_145,X_147),multiply(inverse(X_147),X_146))))]]) ).
cnf(refute_0_584,plain,
( multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146)))) != inverse(X_145)
| multiply(X_146,double_divide(multiply(X_145,X_147),multiply(inverse(X_147),X_146))) = inverse(X_145) ),
inference(resolve,[$cnf( $equal(multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146)))),multiply(X_146,double_divide(multiply(X_145,X_147),multiply(inverse(X_147),X_146)))) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
multiply(X_146,double_divide(multiply(X_145,X_147),multiply(inverse(X_147),X_146))) = inverse(X_145),
inference(resolve,[$cnf( $equal(multiply(X_146,multiply(inverse(X_147),double_divide(X_145,multiply(inverse(X_147),X_146)))),inverse(X_145)) )],[refute_0_550,refute_0_584]) ).
cnf(refute_0_586,plain,
multiply(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),multiply(inverse(X_166),multiply(X_166,X_122)))) = inverse(X_164),
inference(subst,[],[refute_0_585:[bind(X_145,$fot(X_164)),bind(X_146,$fot(multiply(X_166,X_122))),bind(X_147,$fot(X_166))]]) ).
cnf(refute_0_587,plain,
multiply(inverse(X_166),multiply(X_166,X_122)) = X_122,
inference(subst,[],[refute_0_416:[bind(X_109,$fot(X_166))]]) ).
cnf(refute_0_588,plain,
( multiply(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),multiply(inverse(X_166),multiply(X_166,X_122)))) != inverse(X_164)
| multiply(inverse(X_166),multiply(X_166,X_122)) != X_122
| multiply(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),X_122)) = inverse(X_164) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),multiply(inverse(X_166),multiply(X_166,X_122)))),inverse(X_164)) ),[0,1,1],$fot(X_122)]]) ).
cnf(refute_0_589,plain,
( multiply(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),multiply(inverse(X_166),multiply(X_166,X_122)))) != inverse(X_164)
| multiply(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),X_122)) = inverse(X_164) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_166),multiply(X_166,X_122)),X_122) )],[refute_0_587,refute_0_588]) ).
cnf(refute_0_590,plain,
multiply(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),X_122)) = inverse(X_164),
inference(resolve,[$cnf( $equal(multiply(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),multiply(inverse(X_166),multiply(X_166,X_122)))),inverse(X_164)) )],[refute_0_586,refute_0_589]) ).
cnf(refute_0_591,plain,
( multiply(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),X_122)) != inverse(X_164)
| multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,multiply(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),X_122)))))) != double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122))
| multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,inverse(X_164))))) = double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,multiply(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),X_122)))))),double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122))) ),[0,1,1,1,1],$fot(inverse(X_164))]]) ).
cnf(refute_0_592,plain,
( multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,multiply(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),X_122)))))) != double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122))
| multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,inverse(X_164))))) = double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),X_122)),inverse(X_164)) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,inverse(X_164))))) = double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,multiply(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),X_122)))))),double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122))) )],[refute_0_451,refute_0_592]) ).
cnf(refute_0_594,plain,
inverse(inverse(X_164)) = X_164,
inference(subst,[],[refute_0_139:[bind(X_109,$fot(X_164))]]) ).
cnf(refute_0_595,plain,
multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),X_213))))) = double_divide(X_213,multiply(multiply(X_174,X_175),double_divide(X_174,X_175))),
inference(subst,[],[refute_0_450:[bind(X_109,$fot(X_210)),bind(X_127,$fot(X_211)),bind(X_129,$fot(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)))),bind(X_130,$fot(X_213))]]) ).
cnf(refute_0_596,plain,
multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),B) = inverse(double_divide(B,multiply(multiply(X_174,X_175),double_divide(X_174,X_175)))),
inference(subst,[],[multiply:[bind(A,$fot(multiply(multiply(X_174,X_175),double_divide(X_174,X_175))))]]) ).
cnf(refute_0_597,plain,
multiply(multiply(X_157,X_158),double_divide(X_157,X_158)) = multiply(C,inverse(C)),
inference(subst,[],[refute_0_393:[bind(X_148,$fot(X_157)),bind(X_149,$fot(X_158)),bind(X_150,$fot(C))]]) ).
cnf(refute_0_598,plain,
( multiply(multiply(X_157,X_158),double_divide(X_157,X_158)) != multiply(C,inverse(C))
| multiply(C,inverse(C)) = multiply(multiply(X_157,X_158),double_divide(X_157,X_158)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(multiply(X_157,X_158),double_divide(X_157,X_158)))),bind(Y,$fot(multiply(C,inverse(C))))]]) ).
cnf(refute_0_599,plain,
multiply(C,inverse(C)) = multiply(multiply(X_157,X_158),double_divide(X_157,X_158)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_157,X_158),double_divide(X_157,X_158)),multiply(C,inverse(C))) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
( multiply(C,inverse(C)) != multiply(multiply(X_157,X_158),double_divide(X_157,X_158))
| double_divide(X_114,multiply(C,inverse(C))) != inverse(X_114)
| double_divide(X_114,multiply(multiply(X_157,X_158),double_divide(X_157,X_158))) = inverse(X_114) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_114,multiply(C,inverse(C))),inverse(X_114)) ),[0,1],$fot(multiply(multiply(X_157,X_158),double_divide(X_157,X_158)))]]) ).
cnf(refute_0_601,plain,
( double_divide(X_114,multiply(C,inverse(C))) != inverse(X_114)
| double_divide(X_114,multiply(multiply(X_157,X_158),double_divide(X_157,X_158))) = inverse(X_114) ),
inference(resolve,[$cnf( $equal(multiply(C,inverse(C)),multiply(multiply(X_157,X_158),double_divide(X_157,X_158))) )],[refute_0_599,refute_0_600]) ).
cnf(refute_0_602,plain,
double_divide(X_114,multiply(multiply(X_157,X_158),double_divide(X_157,X_158))) = inverse(X_114),
inference(resolve,[$cnf( $equal(double_divide(X_114,multiply(C,inverse(C))),inverse(X_114)) )],[refute_0_337,refute_0_601]) ).
cnf(refute_0_603,plain,
double_divide(B,multiply(multiply(X_174,X_175),double_divide(X_174,X_175))) = inverse(B),
inference(subst,[],[refute_0_602:[bind(X_114,$fot(B)),bind(X_157,$fot(X_174)),bind(X_158,$fot(X_175))]]) ).
cnf(refute_0_604,plain,
( multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),B) != inverse(double_divide(B,multiply(multiply(X_174,X_175),double_divide(X_174,X_175))))
| double_divide(B,multiply(multiply(X_174,X_175),double_divide(X_174,X_175))) != inverse(B)
| multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),B) = inverse(inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),B),inverse(double_divide(B,multiply(multiply(X_174,X_175),double_divide(X_174,X_175))))) ),[1,0],$fot(inverse(B))]]) ).
cnf(refute_0_605,plain,
( multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),B) != inverse(double_divide(B,multiply(multiply(X_174,X_175),double_divide(X_174,X_175))))
| multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),B) = inverse(inverse(B)) ),
inference(resolve,[$cnf( $equal(double_divide(B,multiply(multiply(X_174,X_175),double_divide(X_174,X_175))),inverse(B)) )],[refute_0_603,refute_0_604]) ).
cnf(refute_0_606,plain,
multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),B) = inverse(inverse(B)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),B),inverse(double_divide(B,multiply(multiply(X_174,X_175),double_divide(X_174,X_175))))) )],[refute_0_596,refute_0_605]) ).
cnf(refute_0_607,plain,
( multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),B) != inverse(inverse(B))
| inverse(inverse(B)) != B
| multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),B) = B ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),B),B) ),[0],$fot(inverse(inverse(B)))]]) ).
cnf(refute_0_608,plain,
( multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),B) != inverse(inverse(B))
| multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),B) = B ),
inference(resolve,[$cnf( $equal(inverse(inverse(B)),B) )],[refute_0_169,refute_0_607]) ).
cnf(refute_0_609,plain,
multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),B) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),B),inverse(inverse(B))) )],[refute_0_606,refute_0_608]) ).
cnf(refute_0_610,plain,
multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),X_213) = X_213,
inference(subst,[],[refute_0_609:[bind(B,$fot(X_213))]]) ).
cnf(refute_0_611,plain,
( multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),X_213) != X_213
| multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),X_213))))) != double_divide(X_213,multiply(multiply(X_174,X_175),double_divide(X_174,X_175)))
| multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,X_213)))) = double_divide(X_213,multiply(multiply(X_174,X_175),double_divide(X_174,X_175))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),X_213))))),double_divide(X_213,multiply(multiply(X_174,X_175),double_divide(X_174,X_175)))) ),[0,1,1,1,1],$fot(X_213)]]) ).
cnf(refute_0_612,plain,
( multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),X_213))))) != double_divide(X_213,multiply(multiply(X_174,X_175),double_divide(X_174,X_175)))
| multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,X_213)))) = double_divide(X_213,multiply(multiply(X_174,X_175),double_divide(X_174,X_175))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),X_213),X_213) )],[refute_0_610,refute_0_611]) ).
cnf(refute_0_613,plain,
multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,X_213)))) = double_divide(X_213,multiply(multiply(X_174,X_175),double_divide(X_174,X_175))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,multiply(multiply(multiply(X_174,X_175),double_divide(X_174,X_175)),X_213))))),double_divide(X_213,multiply(multiply(X_174,X_175),double_divide(X_174,X_175)))) )],[refute_0_595,refute_0_612]) ).
cnf(refute_0_614,plain,
double_divide(X_213,multiply(multiply(X_174,X_175),double_divide(X_174,X_175))) = inverse(X_213),
inference(subst,[],[refute_0_602:[bind(X_114,$fot(X_213)),bind(X_157,$fot(X_174)),bind(X_158,$fot(X_175))]]) ).
cnf(refute_0_615,plain,
( multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,X_213)))) != double_divide(X_213,multiply(multiply(X_174,X_175),double_divide(X_174,X_175)))
| double_divide(X_213,multiply(multiply(X_174,X_175),double_divide(X_174,X_175))) != inverse(X_213)
| multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,X_213)))) = inverse(X_213) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,X_213)))),inverse(X_213)) ),[0],$fot(double_divide(X_213,multiply(multiply(X_174,X_175),double_divide(X_174,X_175))))]]) ).
cnf(refute_0_616,plain,
( multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,X_213)))) != double_divide(X_213,multiply(multiply(X_174,X_175),double_divide(X_174,X_175)))
| multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,X_213)))) = inverse(X_213) ),
inference(resolve,[$cnf( $equal(double_divide(X_213,multiply(multiply(X_174,X_175),double_divide(X_174,X_175))),inverse(X_213)) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,X_213)))) = inverse(X_213),
inference(resolve,[$cnf( $equal(multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,X_213)))),double_divide(X_213,multiply(multiply(X_174,X_175),double_divide(X_174,X_175)))) )],[refute_0_613,refute_0_616]) ).
cnf(refute_0_618,plain,
multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,inverse(X_164))))) = inverse(inverse(X_164)),
inference(subst,[],[refute_0_617:[bind(X_213,$fot(inverse(X_164)))]]) ).
cnf(refute_0_619,plain,
( multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,inverse(X_164))))) != inverse(inverse(X_164))
| inverse(inverse(X_164)) != X_164
| multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,inverse(X_164))))) = X_164 ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,inverse(X_164))))))),bind(Y,$fot(inverse(inverse(X_164)))),bind(Z,$fot(X_164))]]) ).
cnf(refute_0_620,plain,
( inverse(inverse(X_164)) != X_164
| multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,inverse(X_164))))) = X_164 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,inverse(X_164))))),inverse(inverse(X_164))) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,inverse(X_164))))) = X_164,
inference(resolve,[$cnf( $equal(inverse(inverse(X_164)),X_164) )],[refute_0_594,refute_0_620]) ).
cnf(refute_0_622,plain,
( multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,inverse(X_164))))) != X_164
| multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,inverse(X_164))))) != double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122))
| X_164 = double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,inverse(X_164))))),double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122))) ),[0],$fot(X_164)]]) ).
cnf(refute_0_623,plain,
( multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,inverse(X_164))))) != double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122))
| X_164 = double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,inverse(X_164))))),X_164) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122)) = double_divide(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),X_122)),
inference(subst,[],[refute_0_347:[bind(X_109,$fot(multiply(X_166,X_122))),bind(X_131,$fot(double_divide(multiply(X_164,X_166),X_122)))]]) ).
cnf(refute_0_625,plain,
( X_164 != double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122))
| double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122)) != double_divide(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),X_122))
| X_164 = double_divide(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),X_122)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_164,double_divide(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),X_122))) ),[0],$fot(double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122)))]]) ).
cnf(refute_0_626,plain,
( X_164 != double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122))
| X_164 = double_divide(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),X_122)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122)),double_divide(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),X_122))) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
( multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,inverse(X_164))))) != double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122))
| X_164 = double_divide(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),X_122)) ),
inference(resolve,[$cnf( $equal(X_164,double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122))) )],[refute_0_623,refute_0_626]) ).
cnf(refute_0_628,plain,
X_164 = double_divide(multiply(X_166,X_122),double_divide(multiply(X_164,X_166),X_122)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_210),multiply(X_211,multiply(X_210,double_divide(X_211,inverse(X_164))))),double_divide(double_divide(multiply(X_164,X_166),X_122),multiply(X_166,X_122))) )],[refute_0_593,refute_0_627]) ).
cnf(refute_0_629,plain,
X_215 = double_divide(multiply(multiply(X_148,X_149),double_divide(X_148,X_149)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))),
inference(subst,[],[refute_0_628:[bind(X_122,$fot(double_divide(X_148,X_149))),bind(X_164,$fot(X_215)),bind(X_166,$fot(multiply(X_148,X_149)))]]) ).
cnf(refute_0_630,plain,
( X_215 != double_divide(multiply(multiply(X_148,X_149),double_divide(X_148,X_149)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))
| multiply(multiply(X_148,X_149),double_divide(X_148,X_149)) != multiply(X_150,inverse(X_150))
| X_215 = double_divide(multiply(X_150,inverse(X_150)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))) ),
introduced(tautology,[equality,[$cnf( $equal(X_215,double_divide(multiply(multiply(X_148,X_149),double_divide(X_148,X_149)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))) ),[1,0],$fot(multiply(X_150,inverse(X_150)))]]) ).
cnf(refute_0_631,plain,
( X_215 != double_divide(multiply(multiply(X_148,X_149),double_divide(X_148,X_149)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))
| X_215 = double_divide(multiply(X_150,inverse(X_150)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_148,X_149),double_divide(X_148,X_149)),multiply(X_150,inverse(X_150))) )],[refute_0_393,refute_0_630]) ).
cnf(refute_0_632,plain,
X_215 = double_divide(multiply(X_150,inverse(X_150)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))),
inference(resolve,[$cnf( $equal(X_215,double_divide(multiply(multiply(X_148,X_149),double_divide(X_148,X_149)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))) )],[refute_0_629,refute_0_631]) ).
cnf(refute_0_633,plain,
inverse(double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))) = multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149))),
inference(subst,[],[refute_0_5:[bind(A,$fot(double_divide(X_148,X_149))),bind(B,$fot(multiply(X_215,multiply(X_148,X_149))))]]) ).
cnf(refute_0_634,plain,
multiply(X_150,double_divide(X_150,double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))) = inverse(double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))),
inference(subst,[],[refute_0_523:[bind(B,$fot(X_150)),bind(X_97,$fot(double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))))]]) ).
cnf(refute_0_635,plain,
( multiply(X_150,double_divide(X_150,double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))) != inverse(double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))
| inverse(double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))) != multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149)))
| multiply(X_150,double_divide(X_150,double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))) = multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(X_150,double_divide(X_150,double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))))),bind(Y,$fot(inverse(double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))))),bind(Z,$fot(multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149)))))]]) ).
cnf(refute_0_636,plain,
( inverse(double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))) != multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149)))
| multiply(X_150,double_divide(X_150,double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))) = multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149))) ),
inference(resolve,[$cnf( $equal(multiply(X_150,double_divide(X_150,double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))),inverse(double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
multiply(X_150,double_divide(X_150,double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))) = multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149))),
inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))),multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149)))) )],[refute_0_633,refute_0_636]) ).
cnf(refute_0_638,plain,
multiply(inverse(multiply(X_194,inverse(X_193))),multiply(multiply(X_194,inverse(X_193)),multiply(X_193,double_divide(X_194,X_195)))) = multiply(X_193,double_divide(X_194,X_195)),
inference(subst,[],[refute_0_416:[bind(X_109,$fot(multiply(X_194,inverse(X_193)))),bind(X_122,$fot(multiply(X_193,double_divide(X_194,X_195))))]]) ).
cnf(refute_0_639,plain,
multiply(multiply(X_151,inverse(X_109)),multiply(inverse(inverse(X_109)),double_divide(X_151,X_152))) = inverse(X_152),
inference(subst,[],[refute_0_568:[bind(X_114,$fot(X_151)),bind(X_145,$fot(X_152)),bind(X_147,$fot(inverse(X_109)))]]) ).
cnf(refute_0_640,plain,
( multiply(multiply(X_151,inverse(X_109)),multiply(inverse(inverse(X_109)),double_divide(X_151,X_152))) != inverse(X_152)
| inverse(inverse(X_109)) != X_109
| multiply(multiply(X_151,inverse(X_109)),multiply(X_109,double_divide(X_151,X_152))) = inverse(X_152) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_151,inverse(X_109)),multiply(inverse(inverse(X_109)),double_divide(X_151,X_152))),inverse(X_152)) ),[0,1,0],$fot(X_109)]]) ).
cnf(refute_0_641,plain,
( multiply(multiply(X_151,inverse(X_109)),multiply(inverse(inverse(X_109)),double_divide(X_151,X_152))) != inverse(X_152)
| multiply(multiply(X_151,inverse(X_109)),multiply(X_109,double_divide(X_151,X_152))) = inverse(X_152) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_109)),X_109) )],[refute_0_139,refute_0_640]) ).
cnf(refute_0_642,plain,
multiply(multiply(X_151,inverse(X_109)),multiply(X_109,double_divide(X_151,X_152))) = inverse(X_152),
inference(resolve,[$cnf( $equal(multiply(multiply(X_151,inverse(X_109)),multiply(inverse(inverse(X_109)),double_divide(X_151,X_152))),inverse(X_152)) )],[refute_0_639,refute_0_641]) ).
cnf(refute_0_643,plain,
multiply(multiply(X_194,inverse(X_193)),multiply(X_193,double_divide(X_194,X_195))) = inverse(X_195),
inference(subst,[],[refute_0_642:[bind(X_109,$fot(X_193)),bind(X_151,$fot(X_194)),bind(X_152,$fot(X_195))]]) ).
cnf(refute_0_644,plain,
( multiply(multiply(X_194,inverse(X_193)),multiply(X_193,double_divide(X_194,X_195))) != inverse(X_195)
| multiply(inverse(multiply(X_194,inverse(X_193))),multiply(multiply(X_194,inverse(X_193)),multiply(X_193,double_divide(X_194,X_195)))) != multiply(X_193,double_divide(X_194,X_195))
| multiply(inverse(multiply(X_194,inverse(X_193))),inverse(X_195)) = multiply(X_193,double_divide(X_194,X_195)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_194,inverse(X_193))),multiply(multiply(X_194,inverse(X_193)),multiply(X_193,double_divide(X_194,X_195)))),multiply(X_193,double_divide(X_194,X_195))) ),[0,1],$fot(inverse(X_195))]]) ).
cnf(refute_0_645,plain,
( multiply(inverse(multiply(X_194,inverse(X_193))),multiply(multiply(X_194,inverse(X_193)),multiply(X_193,double_divide(X_194,X_195)))) != multiply(X_193,double_divide(X_194,X_195))
| multiply(inverse(multiply(X_194,inverse(X_193))),inverse(X_195)) = multiply(X_193,double_divide(X_194,X_195)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_194,inverse(X_193)),multiply(X_193,double_divide(X_194,X_195))),inverse(X_195)) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
multiply(inverse(multiply(X_194,inverse(X_193))),inverse(X_195)) = multiply(X_193,double_divide(X_194,X_195)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_194,inverse(X_193))),multiply(multiply(X_194,inverse(X_193)),multiply(X_193,double_divide(X_194,X_195)))),multiply(X_193,double_divide(X_194,X_195))) )],[refute_0_638,refute_0_645]) ).
cnf(refute_0_647,plain,
multiply(inverse(multiply(X_194,inverse(X_193))),inverse(X_195)) = double_divide(multiply(X_194,inverse(X_193)),X_195),
inference(subst,[],[refute_0_248:[bind(X_115,$fot(X_195)),bind(X_125,$fot(multiply(X_194,inverse(X_193))))]]) ).
cnf(refute_0_648,plain,
( multiply(inverse(multiply(X_194,inverse(X_193))),inverse(X_195)) != multiply(X_193,double_divide(X_194,X_195))
| multiply(inverse(multiply(X_194,inverse(X_193))),inverse(X_195)) != double_divide(multiply(X_194,inverse(X_193)),X_195)
| double_divide(multiply(X_194,inverse(X_193)),X_195) = multiply(X_193,double_divide(X_194,X_195)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_194,inverse(X_193))),inverse(X_195)),multiply(X_193,double_divide(X_194,X_195))) ),[0],$fot(double_divide(multiply(X_194,inverse(X_193)),X_195))]]) ).
cnf(refute_0_649,plain,
( multiply(inverse(multiply(X_194,inverse(X_193))),inverse(X_195)) != multiply(X_193,double_divide(X_194,X_195))
| double_divide(multiply(X_194,inverse(X_193)),X_195) = multiply(X_193,double_divide(X_194,X_195)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_194,inverse(X_193))),inverse(X_195)),double_divide(multiply(X_194,inverse(X_193)),X_195)) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
double_divide(multiply(X_194,inverse(X_193)),X_195) = multiply(X_193,double_divide(X_194,X_195)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_194,inverse(X_193))),inverse(X_195)),multiply(X_193,double_divide(X_194,X_195))) )],[refute_0_646,refute_0_649]) ).
cnf(refute_0_651,plain,
double_divide(multiply(X_150,inverse(X_150)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))) = multiply(X_150,double_divide(X_150,double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))),
inference(subst,[],[refute_0_650:[bind(X_193,$fot(X_150)),bind(X_194,$fot(X_150)),bind(X_195,$fot(double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))))]]) ).
cnf(refute_0_652,plain,
( multiply(X_150,double_divide(X_150,double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))) != multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149)))
| double_divide(multiply(X_150,inverse(X_150)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))) != multiply(X_150,double_divide(X_150,double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))))
| double_divide(multiply(X_150,inverse(X_150)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))) = multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(multiply(X_150,inverse(X_150)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))))),bind(Y,$fot(multiply(X_150,double_divide(X_150,double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))))),bind(Z,$fot(multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149)))))]]) ).
cnf(refute_0_653,plain,
( multiply(X_150,double_divide(X_150,double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))) != multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149)))
| double_divide(multiply(X_150,inverse(X_150)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))) = multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_150,inverse(X_150)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))),multiply(X_150,double_divide(X_150,double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))))) )],[refute_0_651,refute_0_652]) ).
cnf(refute_0_654,plain,
double_divide(multiply(X_150,inverse(X_150)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))) = multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149))),
inference(resolve,[$cnf( $equal(multiply(X_150,double_divide(X_150,double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))),multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149)))) )],[refute_0_637,refute_0_653]) ).
cnf(refute_0_655,plain,
( X_215 != double_divide(multiply(X_150,inverse(X_150)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))
| double_divide(multiply(X_150,inverse(X_150)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))) != multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149)))
| X_215 = multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_215,multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149)))) ),[0],$fot(double_divide(multiply(X_150,inverse(X_150)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))))]]) ).
cnf(refute_0_656,plain,
( X_215 != double_divide(multiply(X_150,inverse(X_150)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))
| X_215 = multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_150,inverse(X_150)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149))),multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149)))) )],[refute_0_654,refute_0_655]) ).
cnf(refute_0_657,plain,
X_215 = multiply(double_divide(X_148,X_149),multiply(X_215,multiply(X_148,X_149))),
inference(resolve,[$cnf( $equal(X_215,double_divide(multiply(X_150,inverse(X_150)),double_divide(multiply(X_215,multiply(X_148,X_149)),double_divide(X_148,X_149)))) )],[refute_0_632,refute_0_656]) ).
cnf(refute_0_658,plain,
X_246 = multiply(double_divide(X_244,X_245),multiply(X_246,multiply(X_244,X_245))),
inference(subst,[],[refute_0_657:[bind(X_148,$fot(X_244)),bind(X_149,$fot(X_245)),bind(X_215,$fot(X_246))]]) ).
cnf(refute_0_659,plain,
( X_246 != multiply(double_divide(X_244,X_245),multiply(X_246,multiply(X_244,X_245)))
| multiply(double_divide(X_244,X_245),multiply(X_246,multiply(X_244,X_245))) = X_246 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_246)),bind(Y,$fot(multiply(double_divide(X_244,X_245),multiply(X_246,multiply(X_244,X_245)))))]]) ).
cnf(refute_0_660,plain,
multiply(double_divide(X_244,X_245),multiply(X_246,multiply(X_244,X_245))) = X_246,
inference(resolve,[$cnf( $equal(X_246,multiply(double_divide(X_244,X_245),multiply(X_246,multiply(X_244,X_245)))) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
( multiply(double_divide(X_244,X_245),multiply(X_246,multiply(X_244,X_245))) != X_246
| multiply(inverse(double_divide(X_244,X_245)),multiply(double_divide(X_244,X_245),multiply(X_246,multiply(X_244,X_245)))) != multiply(X_246,multiply(X_244,X_245))
| multiply(inverse(double_divide(X_244,X_245)),X_246) = multiply(X_246,multiply(X_244,X_245)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_244,X_245)),multiply(double_divide(X_244,X_245),multiply(X_246,multiply(X_244,X_245)))),multiply(X_246,multiply(X_244,X_245))) ),[0,1],$fot(X_246)]]) ).
cnf(refute_0_662,plain,
( multiply(inverse(double_divide(X_244,X_245)),multiply(double_divide(X_244,X_245),multiply(X_246,multiply(X_244,X_245)))) != multiply(X_246,multiply(X_244,X_245))
| multiply(inverse(double_divide(X_244,X_245)),X_246) = multiply(X_246,multiply(X_244,X_245)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_244,X_245),multiply(X_246,multiply(X_244,X_245))),X_246) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
multiply(inverse(double_divide(X_244,X_245)),X_246) = multiply(X_246,multiply(X_244,X_245)),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_244,X_245)),multiply(double_divide(X_244,X_245),multiply(X_246,multiply(X_244,X_245)))),multiply(X_246,multiply(X_244,X_245))) )],[refute_0_417,refute_0_662]) ).
cnf(refute_0_664,plain,
multiply(multiply(multiply(X_157,X_158),double_divide(X_157,X_158)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))) = inverse(X_145),
inference(subst,[],[refute_0_568:[bind(X_114,$fot(multiply(X_157,X_158))),bind(X_147,$fot(double_divide(X_157,X_158)))]]) ).
cnf(refute_0_665,plain,
( multiply(multiply(X_157,X_158),double_divide(X_157,X_158)) != multiply(X_159,inverse(X_159))
| multiply(multiply(multiply(X_157,X_158),double_divide(X_157,X_158)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))) != inverse(X_145)
| multiply(multiply(X_159,inverse(X_159)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))) = inverse(X_145) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_157,X_158),double_divide(X_157,X_158)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))),inverse(X_145)) ),[0,0],$fot(multiply(X_159,inverse(X_159)))]]) ).
cnf(refute_0_666,plain,
( multiply(multiply(multiply(X_157,X_158),double_divide(X_157,X_158)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))) != inverse(X_145)
| multiply(multiply(X_159,inverse(X_159)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))) = inverse(X_145) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_157,X_158),double_divide(X_157,X_158)),multiply(X_159,inverse(X_159))) )],[refute_0_394,refute_0_665]) ).
cnf(refute_0_667,plain,
multiply(multiply(X_159,inverse(X_159)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))) = inverse(X_145),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_157,X_158),double_divide(X_157,X_158)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))),inverse(X_145)) )],[refute_0_664,refute_0_666]) ).
cnf(refute_0_668,plain,
multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145)) = multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145)),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145)))]]) ).
cnf(refute_0_669,plain,
( multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145)) != multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))
| inverse(double_divide(X_157,X_158)) != multiply(X_158,X_157)
| multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145)) = multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),X_145)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))) ),[1,0],$fot(multiply(X_158,X_157))]]) ).
cnf(refute_0_670,plain,
( inverse(double_divide(X_157,X_158)) != multiply(X_158,X_157)
| multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145)) = multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),X_145)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145)) = multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),X_145)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_157,X_158)),multiply(X_158,X_157)) )],[refute_0_398,refute_0_670]) ).
cnf(refute_0_672,plain,
multiply(double_divide(inverse(X_4),X_4),inverse(inverse(X_114))) = inverse(inverse(X_114)),
inference(subst,[],[refute_0_64:[bind(X_3,$fot(inverse(X_114)))]]) ).
cnf(refute_0_673,plain,
( multiply(double_divide(inverse(X_4),X_4),inverse(inverse(X_114))) != inverse(inverse(X_114))
| inverse(inverse(X_114)) != X_114
| multiply(double_divide(inverse(X_4),X_4),X_114) = inverse(inverse(X_114)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_4),X_4),inverse(inverse(X_114))),inverse(inverse(X_114))) ),[0,1],$fot(X_114)]]) ).
cnf(refute_0_674,plain,
( multiply(double_divide(inverse(X_4),X_4),inverse(inverse(X_114))) != inverse(inverse(X_114))
| multiply(double_divide(inverse(X_4),X_4),X_114) = inverse(inverse(X_114)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_114)),X_114) )],[refute_0_130,refute_0_673]) ).
cnf(refute_0_675,plain,
multiply(double_divide(inverse(X_4),X_4),X_114) = inverse(inverse(X_114)),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_4),X_4),inverse(inverse(X_114))),inverse(inverse(X_114))) )],[refute_0_672,refute_0_674]) ).
cnf(refute_0_676,plain,
( multiply(double_divide(inverse(X_4),X_4),X_114) != inverse(inverse(X_114))
| inverse(inverse(X_114)) != X_114
| multiply(double_divide(inverse(X_4),X_4),X_114) = X_114 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(inverse(X_4),X_4),X_114),X_114) ),[0],$fot(inverse(inverse(X_114)))]]) ).
cnf(refute_0_677,plain,
( multiply(double_divide(inverse(X_4),X_4),X_114) != inverse(inverse(X_114))
| multiply(double_divide(inverse(X_4),X_4),X_114) = X_114 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_114)),X_114) )],[refute_0_130,refute_0_676]) ).
cnf(refute_0_678,plain,
multiply(double_divide(inverse(X_4),X_4),X_114) = X_114,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_4),X_4),X_114),inverse(inverse(X_114))) )],[refute_0_675,refute_0_677]) ).
cnf(refute_0_679,plain,
double_divide(inverse(X_4),X_4) = multiply(X_4,inverse(X_4)),
inference(subst,[],[refute_0_304:[bind(X_115,$fot(X_4)),bind(X_121,$fot(X_4))]]) ).
cnf(refute_0_680,plain,
multiply(double_divide(inverse(X_4),X_4),X_114) = multiply(double_divide(inverse(X_4),X_4),X_114),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_4),X_4),X_114))]]) ).
cnf(refute_0_681,plain,
( multiply(double_divide(inverse(X_4),X_4),X_114) != multiply(double_divide(inverse(X_4),X_4),X_114)
| double_divide(inverse(X_4),X_4) != multiply(X_4,inverse(X_4))
| multiply(double_divide(inverse(X_4),X_4),X_114) = multiply(multiply(X_4,inverse(X_4)),X_114) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_4),X_4),X_114),multiply(double_divide(inverse(X_4),X_4),X_114)) ),[1,0],$fot(multiply(X_4,inverse(X_4)))]]) ).
cnf(refute_0_682,plain,
( double_divide(inverse(X_4),X_4) != multiply(X_4,inverse(X_4))
| multiply(double_divide(inverse(X_4),X_4),X_114) = multiply(multiply(X_4,inverse(X_4)),X_114) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_4),X_4),X_114),multiply(double_divide(inverse(X_4),X_4),X_114)) )],[refute_0_680,refute_0_681]) ).
cnf(refute_0_683,plain,
multiply(double_divide(inverse(X_4),X_4),X_114) = multiply(multiply(X_4,inverse(X_4)),X_114),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_4),X_4),multiply(X_4,inverse(X_4))) )],[refute_0_679,refute_0_682]) ).
cnf(refute_0_684,plain,
( multiply(double_divide(inverse(X_4),X_4),X_114) != X_114
| multiply(double_divide(inverse(X_4),X_4),X_114) != multiply(multiply(X_4,inverse(X_4)),X_114)
| multiply(multiply(X_4,inverse(X_4)),X_114) = X_114 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_4),X_4),X_114),X_114) ),[0],$fot(multiply(multiply(X_4,inverse(X_4)),X_114))]]) ).
cnf(refute_0_685,plain,
( multiply(double_divide(inverse(X_4),X_4),X_114) != X_114
| multiply(multiply(X_4,inverse(X_4)),X_114) = X_114 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_4),X_4),X_114),multiply(multiply(X_4,inverse(X_4)),X_114)) )],[refute_0_683,refute_0_684]) ).
cnf(refute_0_686,plain,
multiply(multiply(X_4,inverse(X_4)),X_114) = X_114,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_4),X_4),X_114),X_114) )],[refute_0_678,refute_0_685]) ).
cnf(refute_0_687,plain,
multiply(multiply(X_159,inverse(X_159)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))) = multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145)),
inference(subst,[],[refute_0_686:[bind(X_114,$fot(multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145)))),bind(X_4,$fot(X_159))]]) ).
cnf(refute_0_688,plain,
( multiply(multiply(X_159,inverse(X_159)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))) != multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))
| multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145)) != multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),X_145))
| multiply(multiply(X_159,inverse(X_159)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))) = multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),X_145)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(multiply(X_159,inverse(X_159)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))))),bind(Y,$fot(multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145)))),bind(Z,$fot(multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),X_145))))]]) ).
cnf(refute_0_689,plain,
( multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145)) != multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),X_145))
| multiply(multiply(X_159,inverse(X_159)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))) = multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),X_145)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_159,inverse(X_159)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))) )],[refute_0_687,refute_0_688]) ).
cnf(refute_0_690,plain,
multiply(multiply(X_159,inverse(X_159)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))) = multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),X_145)),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145)),multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),X_145))) )],[refute_0_671,refute_0_689]) ).
cnf(refute_0_691,plain,
( multiply(multiply(X_159,inverse(X_159)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))) != multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),X_145))
| multiply(multiply(X_159,inverse(X_159)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))) != inverse(X_145)
| multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),X_145)) = inverse(X_145) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_159,inverse(X_159)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))),inverse(X_145)) ),[0],$fot(multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),X_145)))]]) ).
cnf(refute_0_692,plain,
( multiply(multiply(X_159,inverse(X_159)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))) != inverse(X_145)
| multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),X_145)) = inverse(X_145) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_159,inverse(X_159)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))),multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),X_145))) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),X_145)) = inverse(X_145),
inference(resolve,[$cnf( $equal(multiply(multiply(X_159,inverse(X_159)),multiply(inverse(double_divide(X_157,X_158)),double_divide(multiply(X_157,X_158),X_145))),inverse(X_145)) )],[refute_0_667,refute_0_692]) ).
cnf(refute_0_694,plain,
multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),double_divide(multiply(X_215,X_157),X_158))) = inverse(double_divide(multiply(X_215,X_157),X_158)),
inference(subst,[],[refute_0_693:[bind(X_145,$fot(double_divide(multiply(X_215,X_157),X_158)))]]) ).
cnf(refute_0_695,plain,
X_215 = double_divide(multiply(X_157,X_158),double_divide(multiply(X_215,X_157),X_158)),
inference(subst,[],[refute_0_628:[bind(X_122,$fot(X_158)),bind(X_164,$fot(X_215)),bind(X_166,$fot(X_157))]]) ).
cnf(refute_0_696,plain,
( X_215 != double_divide(multiply(X_157,X_158),double_divide(multiply(X_215,X_157),X_158))
| double_divide(multiply(X_157,X_158),double_divide(multiply(X_215,X_157),X_158)) = X_215 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_215)),bind(Y,$fot(double_divide(multiply(X_157,X_158),double_divide(multiply(X_215,X_157),X_158))))]]) ).
cnf(refute_0_697,plain,
double_divide(multiply(X_157,X_158),double_divide(multiply(X_215,X_157),X_158)) = X_215,
inference(resolve,[$cnf( $equal(X_215,double_divide(multiply(X_157,X_158),double_divide(multiply(X_215,X_157),X_158))) )],[refute_0_695,refute_0_696]) ).
cnf(refute_0_698,plain,
( multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),double_divide(multiply(X_215,X_157),X_158))) != inverse(double_divide(multiply(X_215,X_157),X_158))
| double_divide(multiply(X_157,X_158),double_divide(multiply(X_215,X_157),X_158)) != X_215
| multiply(multiply(X_158,X_157),X_215) = inverse(double_divide(multiply(X_215,X_157),X_158)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),double_divide(multiply(X_215,X_157),X_158))),inverse(double_divide(multiply(X_215,X_157),X_158))) ),[0,1],$fot(X_215)]]) ).
cnf(refute_0_699,plain,
( multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),double_divide(multiply(X_215,X_157),X_158))) != inverse(double_divide(multiply(X_215,X_157),X_158))
| multiply(multiply(X_158,X_157),X_215) = inverse(double_divide(multiply(X_215,X_157),X_158)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_157,X_158),double_divide(multiply(X_215,X_157),X_158)),X_215) )],[refute_0_697,refute_0_698]) ).
cnf(refute_0_700,plain,
multiply(multiply(X_158,X_157),X_215) = inverse(double_divide(multiply(X_215,X_157),X_158)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_158,X_157),double_divide(multiply(X_157,X_158),double_divide(multiply(X_215,X_157),X_158))),inverse(double_divide(multiply(X_215,X_157),X_158))) )],[refute_0_694,refute_0_699]) ).
cnf(refute_0_701,plain,
inverse(double_divide(multiply(X_215,X_157),X_158)) = multiply(X_158,multiply(X_215,X_157)),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_158)),bind(B,$fot(multiply(X_215,X_157)))]]) ).
cnf(refute_0_702,plain,
( multiply(multiply(X_158,X_157),X_215) != inverse(double_divide(multiply(X_215,X_157),X_158))
| inverse(double_divide(multiply(X_215,X_157),X_158)) != multiply(X_158,multiply(X_215,X_157))
| multiply(multiply(X_158,X_157),X_215) = multiply(X_158,multiply(X_215,X_157)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_158,X_157),X_215),multiply(X_158,multiply(X_215,X_157))) ),[0],$fot(inverse(double_divide(multiply(X_215,X_157),X_158)))]]) ).
cnf(refute_0_703,plain,
( multiply(multiply(X_158,X_157),X_215) != inverse(double_divide(multiply(X_215,X_157),X_158))
| multiply(multiply(X_158,X_157),X_215) = multiply(X_158,multiply(X_215,X_157)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(X_215,X_157),X_158)),multiply(X_158,multiply(X_215,X_157))) )],[refute_0_701,refute_0_702]) ).
cnf(refute_0_704,plain,
multiply(multiply(X_158,X_157),X_215) = multiply(X_158,multiply(X_215,X_157)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_158,X_157),X_215),inverse(double_divide(multiply(X_215,X_157),X_158))) )],[refute_0_700,refute_0_703]) ).
cnf(refute_0_705,plain,
multiply(multiply(X_245,X_244),X_246) = multiply(X_245,multiply(X_246,X_244)),
inference(subst,[],[refute_0_704:[bind(X_157,$fot(X_244)),bind(X_158,$fot(X_245)),bind(X_215,$fot(X_246))]]) ).
cnf(refute_0_706,plain,
inverse(double_divide(X_244,X_245)) = multiply(X_245,X_244),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_245)),bind(B,$fot(X_244))]]) ).
cnf(refute_0_707,plain,
multiply(inverse(double_divide(X_244,X_245)),X_246) = multiply(inverse(double_divide(X_244,X_245)),X_246),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_244,X_245)),X_246))]]) ).
cnf(refute_0_708,plain,
( multiply(inverse(double_divide(X_244,X_245)),X_246) != multiply(inverse(double_divide(X_244,X_245)),X_246)
| inverse(double_divide(X_244,X_245)) != multiply(X_245,X_244)
| multiply(inverse(double_divide(X_244,X_245)),X_246) = multiply(multiply(X_245,X_244),X_246) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_244,X_245)),X_246),multiply(inverse(double_divide(X_244,X_245)),X_246)) ),[1,0],$fot(multiply(X_245,X_244))]]) ).
cnf(refute_0_709,plain,
( inverse(double_divide(X_244,X_245)) != multiply(X_245,X_244)
| multiply(inverse(double_divide(X_244,X_245)),X_246) = multiply(multiply(X_245,X_244),X_246) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_244,X_245)),X_246),multiply(inverse(double_divide(X_244,X_245)),X_246)) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
multiply(inverse(double_divide(X_244,X_245)),X_246) = multiply(multiply(X_245,X_244),X_246),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_244,X_245)),multiply(X_245,X_244)) )],[refute_0_706,refute_0_709]) ).
cnf(refute_0_711,plain,
( multiply(multiply(X_245,X_244),X_246) != multiply(X_245,multiply(X_246,X_244))
| multiply(inverse(double_divide(X_244,X_245)),X_246) != multiply(multiply(X_245,X_244),X_246)
| multiply(inverse(double_divide(X_244,X_245)),X_246) = multiply(X_245,multiply(X_246,X_244)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(inverse(double_divide(X_244,X_245)),X_246))),bind(Y,$fot(multiply(multiply(X_245,X_244),X_246))),bind(Z,$fot(multiply(X_245,multiply(X_246,X_244))))]]) ).
cnf(refute_0_712,plain,
( multiply(multiply(X_245,X_244),X_246) != multiply(X_245,multiply(X_246,X_244))
| multiply(inverse(double_divide(X_244,X_245)),X_246) = multiply(X_245,multiply(X_246,X_244)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_244,X_245)),X_246),multiply(multiply(X_245,X_244),X_246)) )],[refute_0_710,refute_0_711]) ).
cnf(refute_0_713,plain,
multiply(inverse(double_divide(X_244,X_245)),X_246) = multiply(X_245,multiply(X_246,X_244)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_245,X_244),X_246),multiply(X_245,multiply(X_246,X_244))) )],[refute_0_705,refute_0_712]) ).
cnf(refute_0_714,plain,
( multiply(inverse(double_divide(X_244,X_245)),X_246) != multiply(X_245,multiply(X_246,X_244))
| multiply(inverse(double_divide(X_244,X_245)),X_246) != multiply(X_246,multiply(X_244,X_245))
| multiply(X_245,multiply(X_246,X_244)) = multiply(X_246,multiply(X_244,X_245)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_244,X_245)),X_246),multiply(X_246,multiply(X_244,X_245))) ),[0],$fot(multiply(X_245,multiply(X_246,X_244)))]]) ).
cnf(refute_0_715,plain,
( multiply(inverse(double_divide(X_244,X_245)),X_246) != multiply(X_246,multiply(X_244,X_245))
| multiply(X_245,multiply(X_246,X_244)) = multiply(X_246,multiply(X_244,X_245)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_244,X_245)),X_246),multiply(X_245,multiply(X_246,X_244))) )],[refute_0_713,refute_0_714]) ).
cnf(refute_0_716,plain,
multiply(X_245,multiply(X_246,X_244)) = multiply(X_246,multiply(X_244,X_245)),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_244,X_245)),X_246),multiply(X_246,multiply(X_244,X_245))) )],[refute_0_663,refute_0_715]) ).
cnf(refute_0_717,plain,
( multiply(X_245,multiply(X_246,X_244)) != multiply(X_246,multiply(X_244,X_245))
| multiply(X_246,multiply(X_244,X_245)) = multiply(X_245,multiply(X_246,X_244)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_245,multiply(X_246,X_244)))),bind(Y,$fot(multiply(X_246,multiply(X_244,X_245))))]]) ).
cnf(refute_0_718,plain,
multiply(X_246,multiply(X_244,X_245)) = multiply(X_245,multiply(X_246,X_244)),
inference(resolve,[$cnf( $equal(multiply(X_245,multiply(X_246,X_244)),multiply(X_246,multiply(X_244,X_245))) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
multiply(b3,multiply(c3,a3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_718:[bind(X_244,$fot(c3)),bind(X_245,$fot(a3)),bind(X_246,$fot(b3))]]) ).
cnf(refute_0_720,plain,
multiply(c3,multiply(a3,b3)) = multiply(b3,multiply(c3,a3)),
inference(subst,[],[refute_0_718:[bind(X_244,$fot(a3)),bind(X_245,$fot(b3)),bind(X_246,$fot(c3))]]) ).
cnf(refute_0_721,plain,
( multiply(b3,multiply(c3,a3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(b3,multiply(c3,a3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(c3,multiply(a3,b3)))),bind(Y,$fot(multiply(b3,multiply(c3,a3)))),bind(Z,$fot(multiply(a3,multiply(b3,c3))))]]) ).
cnf(refute_0_722,plain,
( multiply(b3,multiply(c3,a3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(b3,multiply(c3,a3))) )],[refute_0_720,refute_0_721]) ).
cnf(refute_0_723,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(b3,multiply(c3,a3)),multiply(a3,multiply(b3,c3))) )],[refute_0_719,refute_0_722]) ).
cnf(refute_0_724,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_725,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_723,refute_0_724]) ).
cnf(refute_0_726,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_725,refute_0_266]) ).
cnf(refute_0_727,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_728,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_727,refute_0_726]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP615-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 12:34:02 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.70/1.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.70/1.89
% 1.70/1.89 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.82/1.98
%------------------------------------------------------------------------------