TSTP Solution File: GRP587-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP587-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 10:42:39 EDT 2022
% Result : Unsatisfiable 0.41s 0.60s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 98
% Number of leaves : 118
% Syntax : Number of clauses : 480 ( 250 unt; 0 nHn; 220 RR)
% Number of literals : 819 ( 818 equ; 342 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 1297 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = C ).
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,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(inverse(double_divide(B,A))))]]) ).
cnf(refute_0_4,plain,
inverse(double_divide(B,A)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[multiply,refute_0_3]) ).
cnf(refute_0_5,plain,
inverse(double_divide(double_divide(A,B),inverse(C))) = multiply(inverse(C),double_divide(A,B)),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(C))),bind(B,$fot(double_divide(A,B)))]]) ).
cnf(refute_0_6,plain,
multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) = multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))),
introduced(tautology,[refl,[$fot(multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))))]]) ).
cnf(refute_0_7,plain,
( multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) != multiply(B,inverse(double_divide(double_divide(A,B),inverse(C))))
| inverse(double_divide(double_divide(A,B),inverse(C))) != multiply(inverse(C),double_divide(A,B))
| multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) = multiply(B,multiply(inverse(C),double_divide(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))),multiply(B,inverse(double_divide(double_divide(A,B),inverse(C))))) ),[1,1],$fot(multiply(inverse(C),double_divide(A,B)))]]) ).
cnf(refute_0_8,plain,
( inverse(double_divide(double_divide(A,B),inverse(C))) != multiply(inverse(C),double_divide(A,B))
| multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) = multiply(B,multiply(inverse(C),double_divide(A,B))) ),
inference(resolve,[$cnf( $equal(multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))),multiply(B,inverse(double_divide(double_divide(A,B),inverse(C))))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) = multiply(B,multiply(inverse(C),double_divide(A,B))),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(A,B),inverse(C))),multiply(inverse(C),double_divide(A,B))) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) = multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(B)),bind(B,$fot(inverse(double_divide(double_divide(A,B),inverse(C)))))]]) ).
cnf(refute_0_11,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_12,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_11]) ).
cnf(refute_0_13,plain,
( multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) != multiply(B,multiply(inverse(C),double_divide(A,B)))
| inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) != multiply(B,inverse(double_divide(double_divide(A,B),inverse(C))))
| inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) = multiply(B,multiply(inverse(C),double_divide(A,B))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)))),bind(Y,$fot(multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))))),bind(Z,$fot(multiply(B,multiply(inverse(C),double_divide(A,B)))))]]) ).
cnf(refute_0_14,plain,
( multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) != multiply(B,multiply(inverse(C),double_divide(A,B)))
| inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) = multiply(B,multiply(inverse(C),double_divide(A,B))) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)),multiply(B,inverse(double_divide(double_divide(A,B),inverse(C))))) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) = multiply(B,multiply(inverse(C),double_divide(A,B))),
inference(resolve,[$cnf( $equal(multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))),multiply(B,multiply(inverse(C),double_divide(A,B)))) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))),
introduced(tautology,[refl,[$fot(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))))]]) ).
cnf(refute_0_17,plain,
( double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) != double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)))
| inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) != multiply(B,multiply(inverse(C),double_divide(A,B)))
| double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))),double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)))) ),[1,1],$fot(multiply(B,multiply(inverse(C),double_divide(A,B))))]]) ).
cnf(refute_0_18,plain,
( inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) != multiply(B,multiply(inverse(C),double_divide(A,B)))
| double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))) ),
inference(resolve,[$cnf( $equal(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))),double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)),multiply(B,multiply(inverse(C),double_divide(A,B)))) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
( double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) != C
| double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) != double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B))))
| double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))),C) ),[0],$fot(double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))))]]) ).
cnf(refute_0_21,plain,
( double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) != C
| double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))) = C ),
inference(resolve,[$cnf( $equal(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))),double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B))))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))) = C,
inference(resolve,[$cnf( $equal(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))),C) )],[single_axiom,refute_0_21]) ).
cnf(refute_0_23,plain,
double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))))))) = C,
inference(subst,[],[refute_0_22:[bind(B,$fot(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3)))))]]) ).
cnf(refute_0_24,plain,
double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3)))) = X_4,
inference(subst,[],[refute_0_22:[bind(B,$fot(X_3)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_25,plain,
( double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3)))) != X_4
| double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))))))) != C
| double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),X_4))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))))))),C) ),[0,1,1,1],$fot(X_4)]]) ).
cnf(refute_0_26,plain,
( double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))))))) != C
| double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),X_4))) = C ),
inference(resolve,[$cnf( $equal(double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3)))),X_4) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),X_4))) = C,
inference(resolve,[$cnf( $equal(double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))))))),C) )],[refute_0_23,refute_0_26]) ).
cnf(refute_0_28,plain,
double_divide(multiply(inverse(X_13),X_15),multiply(multiply(X_14,multiply(inverse(X_15),double_divide(multiply(inverse(X_13),X_15),X_14))),multiply(inverse(X_13),X_15))) = X_13,
inference(subst,[],[refute_0_27:[bind(A,$fot(multiply(inverse(X_13),X_15))),bind(C,$fot(X_13)),bind(X_3,$fot(X_14)),bind(X_4,$fot(X_15))]]) ).
cnf(refute_0_29,plain,
multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B) = inverse(double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))))),
inference(subst,[],[multiply:[bind(A,$fot(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))))]]) ).
cnf(refute_0_30,plain,
double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))) = X_4,
inference(subst,[],[refute_0_22:[bind(A,$fot(B)),bind(B,$fot(X_3)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_31,plain,
( multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B) != inverse(double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))))
| double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))) != X_4
| multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B),inverse(double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))))) ),[1,0],$fot(X_4)]]) ).
cnf(refute_0_32,plain,
( multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B) != inverse(double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))))
| multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))),X_4) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B),inverse(double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))))) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
multiply(multiply(X_14,multiply(inverse(X_15),double_divide(multiply(inverse(X_13),X_15),X_14))),multiply(inverse(X_13),X_15)) = inverse(X_15),
inference(subst,[],[refute_0_33:[bind(B,$fot(multiply(inverse(X_13),X_15))),bind(X_3,$fot(X_14)),bind(X_4,$fot(X_15))]]) ).
cnf(refute_0_35,plain,
( multiply(multiply(X_14,multiply(inverse(X_15),double_divide(multiply(inverse(X_13),X_15),X_14))),multiply(inverse(X_13),X_15)) != inverse(X_15)
| double_divide(multiply(inverse(X_13),X_15),multiply(multiply(X_14,multiply(inverse(X_15),double_divide(multiply(inverse(X_13),X_15),X_14))),multiply(inverse(X_13),X_15))) != X_13
| double_divide(multiply(inverse(X_13),X_15),inverse(X_15)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_13),X_15),multiply(multiply(X_14,multiply(inverse(X_15),double_divide(multiply(inverse(X_13),X_15),X_14))),multiply(inverse(X_13),X_15))),X_13) ),[0,1],$fot(inverse(X_15))]]) ).
cnf(refute_0_36,plain,
( double_divide(multiply(inverse(X_13),X_15),multiply(multiply(X_14,multiply(inverse(X_15),double_divide(multiply(inverse(X_13),X_15),X_14))),multiply(inverse(X_13),X_15))) != X_13
| double_divide(multiply(inverse(X_13),X_15),inverse(X_15)) = X_13 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,multiply(inverse(X_15),double_divide(multiply(inverse(X_13),X_15),X_14))),multiply(inverse(X_13),X_15)),inverse(X_15)) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
double_divide(multiply(inverse(X_13),X_15),inverse(X_15)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_13),X_15),multiply(multiply(X_14,multiply(inverse(X_15),double_divide(multiply(inverse(X_13),X_15),X_14))),multiply(inverse(X_13),X_15))),X_13) )],[refute_0_28,refute_0_36]) ).
cnf(refute_0_38,plain,
double_divide(multiply(inverse(multiply(inverse(X_25),X_24)),inverse(X_25)),inverse(inverse(X_25))) = multiply(inverse(X_25),X_24),
inference(subst,[],[refute_0_37:[bind(X_13,$fot(multiply(inverse(X_25),X_24))),bind(X_15,$fot(inverse(X_25)))]]) ).
cnf(refute_0_39,plain,
multiply(inverse(X_17),multiply(inverse(X_16),X_17)) = inverse(double_divide(multiply(inverse(X_16),X_17),inverse(X_17))),
inference(subst,[],[multiply:[bind(A,$fot(inverse(X_17))),bind(B,$fot(multiply(inverse(X_16),X_17)))]]) ).
cnf(refute_0_40,plain,
double_divide(multiply(inverse(X_16),X_17),inverse(X_17)) = X_16,
inference(subst,[],[refute_0_37:[bind(X_13,$fot(X_16)),bind(X_15,$fot(X_17))]]) ).
cnf(refute_0_41,plain,
( multiply(inverse(X_17),multiply(inverse(X_16),X_17)) != inverse(double_divide(multiply(inverse(X_16),X_17),inverse(X_17)))
| double_divide(multiply(inverse(X_16),X_17),inverse(X_17)) != X_16
| multiply(inverse(X_17),multiply(inverse(X_16),X_17)) = inverse(X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_17),multiply(inverse(X_16),X_17)),inverse(double_divide(multiply(inverse(X_16),X_17),inverse(X_17)))) ),[1,0],$fot(X_16)]]) ).
cnf(refute_0_42,plain,
( multiply(inverse(X_17),multiply(inverse(X_16),X_17)) != inverse(double_divide(multiply(inverse(X_16),X_17),inverse(X_17)))
| multiply(inverse(X_17),multiply(inverse(X_16),X_17)) = inverse(X_16) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_16),X_17),inverse(X_17)),X_16) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
multiply(inverse(X_17),multiply(inverse(X_16),X_17)) = inverse(X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(X_17),multiply(inverse(X_16),X_17)),inverse(double_divide(multiply(inverse(X_16),X_17),inverse(X_17)))) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
multiply(inverse(multiply(inverse(X_22),X_16)),multiply(inverse(X_16),multiply(inverse(X_22),X_16))) = inverse(X_16),
inference(subst,[],[refute_0_43:[bind(X_17,$fot(multiply(inverse(X_22),X_16)))]]) ).
cnf(refute_0_45,plain,
multiply(inverse(X_16),multiply(inverse(X_22),X_16)) = inverse(X_22),
inference(subst,[],[refute_0_43:[bind(X_16,$fot(X_22)),bind(X_17,$fot(X_16))]]) ).
cnf(refute_0_46,plain,
( multiply(inverse(X_16),multiply(inverse(X_22),X_16)) != inverse(X_22)
| multiply(inverse(multiply(inverse(X_22),X_16)),multiply(inverse(X_16),multiply(inverse(X_22),X_16))) != inverse(X_16)
| multiply(inverse(multiply(inverse(X_22),X_16)),inverse(X_22)) = inverse(X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_22),X_16)),multiply(inverse(X_16),multiply(inverse(X_22),X_16))),inverse(X_16)) ),[0,1],$fot(inverse(X_22))]]) ).
cnf(refute_0_47,plain,
( multiply(inverse(multiply(inverse(X_22),X_16)),multiply(inverse(X_16),multiply(inverse(X_22),X_16))) != inverse(X_16)
| multiply(inverse(multiply(inverse(X_22),X_16)),inverse(X_22)) = inverse(X_16) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),multiply(inverse(X_22),X_16)),inverse(X_22)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(inverse(multiply(inverse(X_22),X_16)),inverse(X_22)) = inverse(X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_22),X_16)),multiply(inverse(X_16),multiply(inverse(X_22),X_16))),inverse(X_16)) )],[refute_0_44,refute_0_47]) ).
cnf(refute_0_49,plain,
multiply(inverse(multiply(inverse(X_25),X_24)),inverse(X_25)) = inverse(X_24),
inference(subst,[],[refute_0_48:[bind(X_16,$fot(X_24)),bind(X_22,$fot(X_25))]]) ).
cnf(refute_0_50,plain,
( multiply(inverse(multiply(inverse(X_25),X_24)),inverse(X_25)) != inverse(X_24)
| double_divide(multiply(inverse(multiply(inverse(X_25),X_24)),inverse(X_25)),inverse(inverse(X_25))) != multiply(inverse(X_25),X_24)
| double_divide(inverse(X_24),inverse(inverse(X_25))) = multiply(inverse(X_25),X_24) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_25),X_24)),inverse(X_25)),inverse(inverse(X_25))),multiply(inverse(X_25),X_24)) ),[0,0],$fot(inverse(X_24))]]) ).
cnf(refute_0_51,plain,
( double_divide(multiply(inverse(multiply(inverse(X_25),X_24)),inverse(X_25)),inverse(inverse(X_25))) != multiply(inverse(X_25),X_24)
| double_divide(inverse(X_24),inverse(inverse(X_25))) = multiply(inverse(X_25),X_24) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_25),X_24)),inverse(X_25)),inverse(X_24)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
double_divide(inverse(X_24),inverse(inverse(X_25))) = multiply(inverse(X_25),X_24),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_25),X_24)),inverse(X_25)),inverse(inverse(X_25))),multiply(inverse(X_25),X_24)) )],[refute_0_38,refute_0_51]) ).
cnf(refute_0_53,plain,
double_divide(inverse(X_29),inverse(inverse(double_divide(B,A)))) = multiply(inverse(double_divide(B,A)),X_29),
inference(subst,[],[refute_0_52:[bind(X_24,$fot(X_29)),bind(X_25,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_54,plain,
( double_divide(inverse(X_29),inverse(inverse(double_divide(B,A)))) != multiply(inverse(double_divide(B,A)),X_29)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(inverse(X_29),inverse(multiply(A,B))) = multiply(inverse(double_divide(B,A)),X_29) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_29),inverse(inverse(double_divide(B,A)))),multiply(inverse(double_divide(B,A)),X_29)) ),[0,1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_55,plain,
( double_divide(inverse(X_29),inverse(inverse(double_divide(B,A)))) != multiply(inverse(double_divide(B,A)),X_29)
| double_divide(inverse(X_29),inverse(multiply(A,B))) = multiply(inverse(double_divide(B,A)),X_29) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_54]) ).
cnf(refute_0_56,plain,
double_divide(inverse(X_29),inverse(multiply(A,B))) = multiply(inverse(double_divide(B,A)),X_29),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_29),inverse(inverse(double_divide(B,A)))),multiply(inverse(double_divide(B,A)),X_29)) )],[refute_0_53,refute_0_55]) ).
cnf(refute_0_57,plain,
multiply(inverse(double_divide(B,A)),X_29) = multiply(inverse(double_divide(B,A)),X_29),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(B,A)),X_29))]]) ).
cnf(refute_0_58,plain,
( multiply(inverse(double_divide(B,A)),X_29) != multiply(inverse(double_divide(B,A)),X_29)
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(double_divide(B,A)),X_29) = multiply(multiply(A,B),X_29) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(B,A)),X_29),multiply(inverse(double_divide(B,A)),X_29)) ),[1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_59,plain,
( inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(double_divide(B,A)),X_29) = multiply(multiply(A,B),X_29) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),X_29),multiply(inverse(double_divide(B,A)),X_29)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
multiply(inverse(double_divide(B,A)),X_29) = multiply(multiply(A,B),X_29),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_59]) ).
cnf(refute_0_61,plain,
( multiply(inverse(double_divide(B,A)),X_29) != multiply(multiply(A,B),X_29)
| double_divide(inverse(X_29),inverse(multiply(A,B))) != multiply(inverse(double_divide(B,A)),X_29)
| double_divide(inverse(X_29),inverse(multiply(A,B))) = multiply(multiply(A,B),X_29) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_29),inverse(multiply(A,B))),multiply(inverse(double_divide(B,A)),X_29)) ),[1],$fot(multiply(multiply(A,B),X_29))]]) ).
cnf(refute_0_62,plain,
( double_divide(inverse(X_29),inverse(multiply(A,B))) != multiply(inverse(double_divide(B,A)),X_29)
| double_divide(inverse(X_29),inverse(multiply(A,B))) = multiply(multiply(A,B),X_29) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),X_29),multiply(multiply(A,B),X_29)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
double_divide(inverse(X_29),inverse(multiply(A,B))) = multiply(multiply(A,B),X_29),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_29),inverse(multiply(A,B))),multiply(inverse(double_divide(B,A)),X_29)) )],[refute_0_56,refute_0_62]) ).
cnf(refute_0_64,plain,
double_divide(X_2,multiply(X_3,multiply(inverse(double_divide(B,A)),double_divide(X_2,X_3)))) = double_divide(B,A),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_65,plain,
( double_divide(X_2,multiply(X_3,multiply(inverse(double_divide(B,A)),double_divide(X_2,X_3)))) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(X_2,multiply(X_3,multiply(multiply(A,B),double_divide(X_2,X_3)))) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_2,multiply(X_3,multiply(inverse(double_divide(B,A)),double_divide(X_2,X_3)))),double_divide(B,A)) ),[0,1,1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_66,plain,
( double_divide(X_2,multiply(X_3,multiply(inverse(double_divide(B,A)),double_divide(X_2,X_3)))) != double_divide(B,A)
| double_divide(X_2,multiply(X_3,multiply(multiply(A,B),double_divide(X_2,X_3)))) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_65]) ).
cnf(refute_0_67,plain,
double_divide(X_2,multiply(X_3,multiply(multiply(A,B),double_divide(X_2,X_3)))) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(X_2,multiply(X_3,multiply(inverse(double_divide(B,A)),double_divide(X_2,X_3)))),double_divide(B,A)) )],[refute_0_64,refute_0_66]) ).
cnf(refute_0_68,plain,
double_divide(X_10,multiply(X_11,multiply(multiply(X_8,multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8))),double_divide(X_10,X_11)))) = double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8),
inference(subst,[],[refute_0_67:[bind(A,$fot(X_8)),bind(B,$fot(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)))),bind(X_2,$fot(X_10)),bind(X_3,$fot(X_11))]]) ).
cnf(refute_0_69,plain,
multiply(multiply(X_8,multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8))),double_divide(X_10,X_11)) = inverse(X_4),
inference(subst,[],[refute_0_33:[bind(B,$fot(double_divide(X_10,X_11))),bind(X_3,$fot(X_8))]]) ).
cnf(refute_0_70,plain,
( multiply(multiply(X_8,multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8))),double_divide(X_10,X_11)) != inverse(X_4)
| double_divide(X_10,multiply(X_11,multiply(multiply(X_8,multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8))),double_divide(X_10,X_11)))) != double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8)
| double_divide(X_10,multiply(X_11,inverse(X_4))) = double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,multiply(X_11,multiply(multiply(X_8,multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8))),double_divide(X_10,X_11)))),double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8)) ),[0,1,1],$fot(inverse(X_4))]]) ).
cnf(refute_0_71,plain,
( double_divide(X_10,multiply(X_11,multiply(multiply(X_8,multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8))),double_divide(X_10,X_11)))) != double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8)
| double_divide(X_10,multiply(X_11,inverse(X_4))) = double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_8,multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8))),double_divide(X_10,X_11)),inverse(X_4)) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
double_divide(X_10,multiply(X_11,inverse(X_4))) = double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8),
inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(X_11,multiply(multiply(X_8,multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8))),double_divide(X_10,X_11)))),double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8)) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
inverse(double_divide(X_10,X_11)) = multiply(X_11,X_10),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_11)),bind(B,$fot(X_10))]]) ).
cnf(refute_0_74,plain,
double_divide(inverse(X_4),inverse(double_divide(X_10,X_11))) = double_divide(inverse(X_4),inverse(double_divide(X_10,X_11))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_4),inverse(double_divide(X_10,X_11))))]]) ).
cnf(refute_0_75,plain,
( double_divide(inverse(X_4),inverse(double_divide(X_10,X_11))) != double_divide(inverse(X_4),inverse(double_divide(X_10,X_11)))
| inverse(double_divide(X_10,X_11)) != multiply(X_11,X_10)
| double_divide(inverse(X_4),inverse(double_divide(X_10,X_11))) = double_divide(inverse(X_4),multiply(X_11,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_4),inverse(double_divide(X_10,X_11))),double_divide(inverse(X_4),inverse(double_divide(X_10,X_11)))) ),[1,1],$fot(multiply(X_11,X_10))]]) ).
cnf(refute_0_76,plain,
( inverse(double_divide(X_10,X_11)) != multiply(X_11,X_10)
| double_divide(inverse(X_4),inverse(double_divide(X_10,X_11))) = double_divide(inverse(X_4),multiply(X_11,X_10)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_4),inverse(double_divide(X_10,X_11))),double_divide(inverse(X_4),inverse(double_divide(X_10,X_11)))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
double_divide(inverse(X_4),inverse(double_divide(X_10,X_11))) = double_divide(inverse(X_4),multiply(X_11,X_10)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,X_11)),multiply(X_11,X_10)) )],[refute_0_73,refute_0_76]) ).
cnf(refute_0_78,plain,
double_divide(multiply(inverse(double_divide(B,A)),X_17),inverse(X_17)) = double_divide(B,A),
inference(subst,[],[refute_0_37:[bind(X_13,$fot(double_divide(B,A))),bind(X_15,$fot(X_17))]]) ).
cnf(refute_0_79,plain,
( double_divide(multiply(inverse(double_divide(B,A)),X_17),inverse(X_17)) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(multiply(A,B),X_17),inverse(X_17)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(double_divide(B,A)),X_17),inverse(X_17)),double_divide(B,A)) ),[0,0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_80,plain,
( double_divide(multiply(inverse(double_divide(B,A)),X_17),inverse(X_17)) != double_divide(B,A)
| double_divide(multiply(multiply(A,B),X_17),inverse(X_17)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_79]) ).
cnf(refute_0_81,plain,
double_divide(multiply(multiply(A,B),X_17),inverse(X_17)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(double_divide(B,A)),X_17),inverse(X_17)),double_divide(B,A)) )],[refute_0_78,refute_0_80]) ).
cnf(refute_0_82,plain,
double_divide(multiply(multiply(X_26,multiply(inverse(X_4),double_divide(X_28,X_26))),X_28),inverse(X_28)) = double_divide(multiply(inverse(X_4),double_divide(X_28,X_26)),X_26),
inference(subst,[],[refute_0_81:[bind(A,$fot(X_26)),bind(B,$fot(multiply(inverse(X_4),double_divide(X_28,X_26)))),bind(X_17,$fot(X_28))]]) ).
cnf(refute_0_83,plain,
multiply(multiply(X_26,multiply(inverse(X_4),double_divide(X_28,X_26))),X_28) = inverse(X_4),
inference(subst,[],[refute_0_33:[bind(B,$fot(X_28)),bind(X_3,$fot(X_26))]]) ).
cnf(refute_0_84,plain,
( multiply(multiply(X_26,multiply(inverse(X_4),double_divide(X_28,X_26))),X_28) != inverse(X_4)
| double_divide(multiply(multiply(X_26,multiply(inverse(X_4),double_divide(X_28,X_26))),X_28),inverse(X_28)) != double_divide(multiply(inverse(X_4),double_divide(X_28,X_26)),X_26)
| double_divide(inverse(X_4),inverse(X_28)) = double_divide(multiply(inverse(X_4),double_divide(X_28,X_26)),X_26) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_26,multiply(inverse(X_4),double_divide(X_28,X_26))),X_28),inverse(X_28)),double_divide(multiply(inverse(X_4),double_divide(X_28,X_26)),X_26)) ),[0,0],$fot(inverse(X_4))]]) ).
cnf(refute_0_85,plain,
( double_divide(multiply(multiply(X_26,multiply(inverse(X_4),double_divide(X_28,X_26))),X_28),inverse(X_28)) != double_divide(multiply(inverse(X_4),double_divide(X_28,X_26)),X_26)
| double_divide(inverse(X_4),inverse(X_28)) = double_divide(multiply(inverse(X_4),double_divide(X_28,X_26)),X_26) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_26,multiply(inverse(X_4),double_divide(X_28,X_26))),X_28),inverse(X_4)) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
double_divide(inverse(X_4),inverse(X_28)) = double_divide(multiply(inverse(X_4),double_divide(X_28,X_26)),X_26),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_26,multiply(inverse(X_4),double_divide(X_28,X_26))),X_28),inverse(X_28)),double_divide(multiply(inverse(X_4),double_divide(X_28,X_26)),X_26)) )],[refute_0_82,refute_0_85]) ).
cnf(refute_0_87,plain,
( double_divide(inverse(X_4),inverse(X_28)) != double_divide(multiply(inverse(X_4),double_divide(X_28,X_26)),X_26)
| double_divide(multiply(inverse(X_4),double_divide(X_28,X_26)),X_26) = double_divide(inverse(X_4),inverse(X_28)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(inverse(X_4),inverse(X_28)))),bind(Y,$fot(double_divide(multiply(inverse(X_4),double_divide(X_28,X_26)),X_26)))]]) ).
cnf(refute_0_88,plain,
double_divide(multiply(inverse(X_4),double_divide(X_28,X_26)),X_26) = double_divide(inverse(X_4),inverse(X_28)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_4),inverse(X_28)),double_divide(multiply(inverse(X_4),double_divide(X_28,X_26)),X_26)) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8) = double_divide(inverse(X_4),inverse(double_divide(X_10,X_11))),
inference(subst,[],[refute_0_88:[bind(X_26,$fot(X_8)),bind(X_28,$fot(double_divide(X_10,X_11)))]]) ).
cnf(refute_0_90,plain,
( double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8) != double_divide(inverse(X_4),inverse(double_divide(X_10,X_11)))
| double_divide(inverse(X_4),inverse(double_divide(X_10,X_11))) != double_divide(inverse(X_4),multiply(X_11,X_10))
| double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8) = double_divide(inverse(X_4),multiply(X_11,X_10)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8))),bind(Y,$fot(double_divide(inverse(X_4),inverse(double_divide(X_10,X_11))))),bind(Z,$fot(double_divide(inverse(X_4),multiply(X_11,X_10))))]]) ).
cnf(refute_0_91,plain,
( double_divide(inverse(X_4),inverse(double_divide(X_10,X_11))) != double_divide(inverse(X_4),multiply(X_11,X_10))
| double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8) = double_divide(inverse(X_4),multiply(X_11,X_10)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8),double_divide(inverse(X_4),inverse(double_divide(X_10,X_11)))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8) = double_divide(inverse(X_4),multiply(X_11,X_10)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_4),inverse(double_divide(X_10,X_11))),double_divide(inverse(X_4),multiply(X_11,X_10))) )],[refute_0_77,refute_0_91]) ).
cnf(refute_0_93,plain,
( double_divide(X_10,multiply(X_11,inverse(X_4))) != double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8)
| double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8) != double_divide(inverse(X_4),multiply(X_11,X_10))
| double_divide(X_10,multiply(X_11,inverse(X_4))) = double_divide(inverse(X_4),multiply(X_11,X_10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_10,multiply(X_11,inverse(X_4))),double_divide(inverse(X_4),multiply(X_11,X_10))) ),[0],$fot(double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8))]]) ).
cnf(refute_0_94,plain,
( double_divide(X_10,multiply(X_11,inverse(X_4))) != double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8)
| double_divide(X_10,multiply(X_11,inverse(X_4))) = double_divide(inverse(X_4),multiply(X_11,X_10)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8),double_divide(inverse(X_4),multiply(X_11,X_10))) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
double_divide(X_10,multiply(X_11,inverse(X_4))) = double_divide(inverse(X_4),multiply(X_11,X_10)),
inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(X_11,inverse(X_4))),double_divide(multiply(inverse(X_4),double_divide(double_divide(X_10,X_11),X_8)),X_8)) )],[refute_0_72,refute_0_94]) ).
cnf(refute_0_96,plain,
double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))) = double_divide(inverse(X_4),multiply(inverse(X_44),multiply(inverse(X_43),X_43))),
inference(subst,[],[refute_0_95:[bind(X_10,$fot(multiply(inverse(X_43),X_43))),bind(X_11,$fot(inverse(X_44)))]]) ).
cnf(refute_0_97,plain,
multiply(multiply(inverse(X_17),multiply(inverse(X_4),double_divide(multiply(inverse(X_16),X_17),inverse(X_17)))),multiply(inverse(X_16),X_17)) = inverse(X_4),
inference(subst,[],[refute_0_33:[bind(B,$fot(multiply(inverse(X_16),X_17))),bind(X_3,$fot(inverse(X_17)))]]) ).
cnf(refute_0_98,plain,
( multiply(multiply(inverse(X_17),multiply(inverse(X_4),double_divide(multiply(inverse(X_16),X_17),inverse(X_17)))),multiply(inverse(X_16),X_17)) != inverse(X_4)
| double_divide(multiply(inverse(X_16),X_17),inverse(X_17)) != X_16
| multiply(multiply(inverse(X_17),multiply(inverse(X_4),X_16)),multiply(inverse(X_16),X_17)) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_17),multiply(inverse(X_4),double_divide(multiply(inverse(X_16),X_17),inverse(X_17)))),multiply(inverse(X_16),X_17)),inverse(X_4)) ),[0,0,1,1],$fot(X_16)]]) ).
cnf(refute_0_99,plain,
( multiply(multiply(inverse(X_17),multiply(inverse(X_4),double_divide(multiply(inverse(X_16),X_17),inverse(X_17)))),multiply(inverse(X_16),X_17)) != inverse(X_4)
| multiply(multiply(inverse(X_17),multiply(inverse(X_4),X_16)),multiply(inverse(X_16),X_17)) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_16),X_17),inverse(X_17)),X_16) )],[refute_0_40,refute_0_98]) ).
cnf(refute_0_100,plain,
multiply(multiply(inverse(X_17),multiply(inverse(X_4),X_16)),multiply(inverse(X_16),X_17)) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_17),multiply(inverse(X_4),double_divide(multiply(inverse(X_16),X_17),inverse(X_17)))),multiply(inverse(X_16),X_17)),inverse(X_4)) )],[refute_0_97,refute_0_99]) ).
cnf(refute_0_101,plain,
multiply(multiply(inverse(X_38),multiply(inverse(X_40),X_38)),multiply(inverse(X_38),X_38)) = inverse(X_40),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(X_38)),bind(X_17,$fot(X_38)),bind(X_4,$fot(X_40))]]) ).
cnf(refute_0_102,plain,
multiply(inverse(X_38),multiply(inverse(X_40),X_38)) = inverse(X_40),
inference(subst,[],[refute_0_43:[bind(X_16,$fot(X_40)),bind(X_17,$fot(X_38))]]) ).
cnf(refute_0_103,plain,
( multiply(multiply(inverse(X_38),multiply(inverse(X_40),X_38)),multiply(inverse(X_38),X_38)) != inverse(X_40)
| multiply(inverse(X_38),multiply(inverse(X_40),X_38)) != inverse(X_40)
| multiply(inverse(X_40),multiply(inverse(X_38),X_38)) = inverse(X_40) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_38),multiply(inverse(X_40),X_38)),multiply(inverse(X_38),X_38)),inverse(X_40)) ),[0,0],$fot(inverse(X_40))]]) ).
cnf(refute_0_104,plain,
( multiply(multiply(inverse(X_38),multiply(inverse(X_40),X_38)),multiply(inverse(X_38),X_38)) != inverse(X_40)
| multiply(inverse(X_40),multiply(inverse(X_38),X_38)) = inverse(X_40) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_38),multiply(inverse(X_40),X_38)),inverse(X_40)) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
multiply(inverse(X_40),multiply(inverse(X_38),X_38)) = inverse(X_40),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_38),multiply(inverse(X_40),X_38)),multiply(inverse(X_38),X_38)),inverse(X_40)) )],[refute_0_101,refute_0_104]) ).
cnf(refute_0_106,plain,
multiply(inverse(X_44),multiply(inverse(X_43),X_43)) = inverse(X_44),
inference(subst,[],[refute_0_105:[bind(X_38,$fot(X_43)),bind(X_40,$fot(X_44))]]) ).
cnf(refute_0_107,plain,
( multiply(inverse(X_44),multiply(inverse(X_43),X_43)) != inverse(X_44)
| double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))) != double_divide(inverse(X_4),multiply(inverse(X_44),multiply(inverse(X_43),X_43)))
| double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))) = double_divide(inverse(X_4),inverse(X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))),double_divide(inverse(X_4),multiply(inverse(X_44),multiply(inverse(X_43),X_43)))) ),[1,1],$fot(inverse(X_44))]]) ).
cnf(refute_0_108,plain,
( double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))) != double_divide(inverse(X_4),multiply(inverse(X_44),multiply(inverse(X_43),X_43)))
| double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))) = double_divide(inverse(X_4),inverse(X_44)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_44),multiply(inverse(X_43),X_43)),inverse(X_44)) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))) = double_divide(inverse(X_4),inverse(X_44)),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))),double_divide(inverse(X_4),multiply(inverse(X_44),multiply(inverse(X_43),X_43)))) )],[refute_0_96,refute_0_108]) ).
cnf(refute_0_110,plain,
double_divide(multiply(multiply(inverse(X_39),multiply(inverse(X_40),X_38)),multiply(inverse(X_38),X_39)),inverse(multiply(inverse(X_38),X_39))) = double_divide(multiply(inverse(X_40),X_38),inverse(X_39)),
inference(subst,[],[refute_0_81:[bind(A,$fot(inverse(X_39))),bind(B,$fot(multiply(inverse(X_40),X_38))),bind(X_17,$fot(multiply(inverse(X_38),X_39)))]]) ).
cnf(refute_0_111,plain,
multiply(multiply(inverse(X_39),multiply(inverse(X_40),X_38)),multiply(inverse(X_38),X_39)) = inverse(X_40),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(X_38)),bind(X_17,$fot(X_39)),bind(X_4,$fot(X_40))]]) ).
cnf(refute_0_112,plain,
( multiply(multiply(inverse(X_39),multiply(inverse(X_40),X_38)),multiply(inverse(X_38),X_39)) != inverse(X_40)
| double_divide(multiply(multiply(inverse(X_39),multiply(inverse(X_40),X_38)),multiply(inverse(X_38),X_39)),inverse(multiply(inverse(X_38),X_39))) != double_divide(multiply(inverse(X_40),X_38),inverse(X_39))
| double_divide(inverse(X_40),inverse(multiply(inverse(X_38),X_39))) = double_divide(multiply(inverse(X_40),X_38),inverse(X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_39),multiply(inverse(X_40),X_38)),multiply(inverse(X_38),X_39)),inverse(multiply(inverse(X_38),X_39))),double_divide(multiply(inverse(X_40),X_38),inverse(X_39))) ),[0,0],$fot(inverse(X_40))]]) ).
cnf(refute_0_113,plain,
( double_divide(multiply(multiply(inverse(X_39),multiply(inverse(X_40),X_38)),multiply(inverse(X_38),X_39)),inverse(multiply(inverse(X_38),X_39))) != double_divide(multiply(inverse(X_40),X_38),inverse(X_39))
| double_divide(inverse(X_40),inverse(multiply(inverse(X_38),X_39))) = double_divide(multiply(inverse(X_40),X_38),inverse(X_39)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_39),multiply(inverse(X_40),X_38)),multiply(inverse(X_38),X_39)),inverse(X_40)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
double_divide(inverse(X_40),inverse(multiply(inverse(X_38),X_39))) = double_divide(multiply(inverse(X_40),X_38),inverse(X_39)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_39),multiply(inverse(X_40),X_38)),multiply(inverse(X_38),X_39)),inverse(multiply(inverse(X_38),X_39))),double_divide(multiply(inverse(X_40),X_38),inverse(X_39))) )],[refute_0_110,refute_0_113]) ).
cnf(refute_0_115,plain,
double_divide(inverse(X_40),inverse(multiply(inverse(X_38),X_39))) = multiply(multiply(inverse(X_38),X_39),X_40),
inference(subst,[],[refute_0_63:[bind(A,$fot(inverse(X_38))),bind(B,$fot(X_39)),bind(X_29,$fot(X_40))]]) ).
cnf(refute_0_116,plain,
( double_divide(inverse(X_40),inverse(multiply(inverse(X_38),X_39))) != multiply(multiply(inverse(X_38),X_39),X_40)
| double_divide(inverse(X_40),inverse(multiply(inverse(X_38),X_39))) != double_divide(multiply(inverse(X_40),X_38),inverse(X_39))
| multiply(multiply(inverse(X_38),X_39),X_40) = double_divide(multiply(inverse(X_40),X_38),inverse(X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_40),inverse(multiply(inverse(X_38),X_39))),double_divide(multiply(inverse(X_40),X_38),inverse(X_39))) ),[0],$fot(multiply(multiply(inverse(X_38),X_39),X_40))]]) ).
cnf(refute_0_117,plain,
( double_divide(inverse(X_40),inverse(multiply(inverse(X_38),X_39))) != double_divide(multiply(inverse(X_40),X_38),inverse(X_39))
| multiply(multiply(inverse(X_38),X_39),X_40) = double_divide(multiply(inverse(X_40),X_38),inverse(X_39)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_40),inverse(multiply(inverse(X_38),X_39))),multiply(multiply(inverse(X_38),X_39),X_40)) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
multiply(multiply(inverse(X_38),X_39),X_40) = double_divide(multiply(inverse(X_40),X_38),inverse(X_39)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_40),inverse(multiply(inverse(X_38),X_39))),double_divide(multiply(inverse(X_40),X_38),inverse(X_39))) )],[refute_0_114,refute_0_117]) ).
cnf(refute_0_119,plain,
( multiply(multiply(inverse(X_38),X_39),X_40) != double_divide(multiply(inverse(X_40),X_38),inverse(X_39))
| double_divide(multiply(inverse(X_40),X_38),inverse(X_39)) = multiply(multiply(inverse(X_38),X_39),X_40) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(multiply(inverse(X_38),X_39),X_40))),bind(Y,$fot(double_divide(multiply(inverse(X_40),X_38),inverse(X_39))))]]) ).
cnf(refute_0_120,plain,
double_divide(multiply(inverse(X_40),X_38),inverse(X_39)) = multiply(multiply(inverse(X_38),X_39),X_40),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_38),X_39),X_40),double_divide(multiply(inverse(X_40),X_38),inverse(X_39))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
double_divide(multiply(inverse(X_13),X_15),inverse(X_15)) = multiply(multiply(inverse(X_15),X_15),X_13),
inference(subst,[],[refute_0_120:[bind(X_38,$fot(X_15)),bind(X_39,$fot(X_15)),bind(X_40,$fot(X_13))]]) ).
cnf(refute_0_122,plain,
( double_divide(multiply(inverse(X_13),X_15),inverse(X_15)) != X_13
| double_divide(multiply(inverse(X_13),X_15),inverse(X_15)) != multiply(multiply(inverse(X_15),X_15),X_13)
| multiply(multiply(inverse(X_15),X_15),X_13) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_13),X_15),inverse(X_15)),X_13) ),[0],$fot(multiply(multiply(inverse(X_15),X_15),X_13))]]) ).
cnf(refute_0_123,plain,
( double_divide(multiply(inverse(X_13),X_15),inverse(X_15)) != X_13
| multiply(multiply(inverse(X_15),X_15),X_13) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_13),X_15),inverse(X_15)),multiply(multiply(inverse(X_15),X_15),X_13)) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
multiply(multiply(inverse(X_15),X_15),X_13) = X_13,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_13),X_15),inverse(X_15)),X_13) )],[refute_0_37,refute_0_123]) ).
cnf(refute_0_125,plain,
multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),X_41) = X_41,
inference(subst,[],[refute_0_124:[bind(X_13,$fot(X_41)),bind(X_15,$fot(inverse(X_25)))]]) ).
cnf(refute_0_126,plain,
multiply(inverse(inverse(X_25)),multiply(inverse(multiply(inverse(X_25),X_24)),inverse(X_25))) = inverse(multiply(inverse(X_25),X_24)),
inference(subst,[],[refute_0_43:[bind(X_16,$fot(multiply(inverse(X_25),X_24))),bind(X_17,$fot(inverse(X_25)))]]) ).
cnf(refute_0_127,plain,
( multiply(inverse(multiply(inverse(X_25),X_24)),inverse(X_25)) != inverse(X_24)
| multiply(inverse(inverse(X_25)),multiply(inverse(multiply(inverse(X_25),X_24)),inverse(X_25))) != inverse(multiply(inverse(X_25),X_24))
| multiply(inverse(inverse(X_25)),inverse(X_24)) = inverse(multiply(inverse(X_25),X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_25)),multiply(inverse(multiply(inverse(X_25),X_24)),inverse(X_25))),inverse(multiply(inverse(X_25),X_24))) ),[0,1],$fot(inverse(X_24))]]) ).
cnf(refute_0_128,plain,
( multiply(inverse(inverse(X_25)),multiply(inverse(multiply(inverse(X_25),X_24)),inverse(X_25))) != inverse(multiply(inverse(X_25),X_24))
| multiply(inverse(inverse(X_25)),inverse(X_24)) = inverse(multiply(inverse(X_25),X_24)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_25),X_24)),inverse(X_25)),inverse(X_24)) )],[refute_0_49,refute_0_127]) ).
cnf(refute_0_129,plain,
multiply(inverse(inverse(X_25)),inverse(X_24)) = inverse(multiply(inverse(X_25),X_24)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_25)),multiply(inverse(multiply(inverse(X_25),X_24)),inverse(X_25))),inverse(multiply(inverse(X_25),X_24))) )],[refute_0_126,refute_0_128]) ).
cnf(refute_0_130,plain,
multiply(inverse(inverse(X_25)),inverse(X_25)) = inverse(multiply(inverse(X_25),X_25)),
inference(subst,[],[refute_0_129:[bind(X_24,$fot(X_25))]]) ).
cnf(refute_0_131,plain,
( multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),X_41) != X_41
| multiply(inverse(inverse(X_25)),inverse(X_25)) != inverse(multiply(inverse(X_25),X_25))
| multiply(inverse(multiply(inverse(X_25),X_25)),X_41) = X_41 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),X_41),X_41) ),[0,0],$fot(inverse(multiply(inverse(X_25),X_25)))]]) ).
cnf(refute_0_132,plain,
( multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),X_41) != X_41
| multiply(inverse(multiply(inverse(X_25),X_25)),X_41) = X_41 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(X_25),X_25))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
multiply(inverse(multiply(inverse(X_25),X_25)),X_41) = X_41,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),X_41),X_41) )],[refute_0_125,refute_0_132]) ).
cnf(refute_0_134,plain,
multiply(inverse(multiply(inverse(X_43),X_43)),X_4) = X_4,
inference(subst,[],[refute_0_133:[bind(X_25,$fot(X_43)),bind(X_41,$fot(X_4))]]) ).
cnf(refute_0_135,plain,
multiply(multiply(inverse(multiply(inverse(X_43),X_43)),X_4),X_44) = multiply(multiply(inverse(multiply(inverse(X_43),X_43)),X_4),X_44),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(multiply(inverse(X_43),X_43)),X_4),X_44))]]) ).
cnf(refute_0_136,plain,
( multiply(multiply(inverse(multiply(inverse(X_43),X_43)),X_4),X_44) != multiply(multiply(inverse(multiply(inverse(X_43),X_43)),X_4),X_44)
| multiply(inverse(multiply(inverse(X_43),X_43)),X_4) != X_4
| multiply(multiply(inverse(multiply(inverse(X_43),X_43)),X_4),X_44) = multiply(X_4,X_44) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(multiply(inverse(X_43),X_43)),X_4),X_44),multiply(multiply(inverse(multiply(inverse(X_43),X_43)),X_4),X_44)) ),[1,0],$fot(X_4)]]) ).
cnf(refute_0_137,plain,
( multiply(inverse(multiply(inverse(X_43),X_43)),X_4) != X_4
| multiply(multiply(inverse(multiply(inverse(X_43),X_43)),X_4),X_44) = multiply(X_4,X_44) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(inverse(X_43),X_43)),X_4),X_44),multiply(multiply(inverse(multiply(inverse(X_43),X_43)),X_4),X_44)) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
multiply(multiply(inverse(multiply(inverse(X_43),X_43)),X_4),X_44) = multiply(X_4,X_44),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_43),X_43)),X_4),X_4) )],[refute_0_134,refute_0_137]) ).
cnf(refute_0_139,plain,
double_divide(X_10,multiply(multiply(inverse(X_42),X_42),inverse(X_4))) = double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10)),
inference(subst,[],[refute_0_95:[bind(X_11,$fot(multiply(inverse(X_42),X_42)))]]) ).
cnf(refute_0_140,plain,
multiply(multiply(inverse(X_42),X_42),inverse(X_4)) = inverse(X_4),
inference(subst,[],[refute_0_124:[bind(X_13,$fot(inverse(X_4))),bind(X_15,$fot(X_42))]]) ).
cnf(refute_0_141,plain,
( multiply(multiply(inverse(X_42),X_42),inverse(X_4)) != inverse(X_4)
| double_divide(X_10,multiply(multiply(inverse(X_42),X_42),inverse(X_4))) != double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10))
| double_divide(X_10,inverse(X_4)) = double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,multiply(multiply(inverse(X_42),X_42),inverse(X_4))),double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10))) ),[0,1],$fot(inverse(X_4))]]) ).
cnf(refute_0_142,plain,
( double_divide(X_10,multiply(multiply(inverse(X_42),X_42),inverse(X_4))) != double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10))
| double_divide(X_10,inverse(X_4)) = double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_42),X_42),inverse(X_4)),inverse(X_4)) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
double_divide(X_10,inverse(X_4)) = double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10)),
inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(multiply(inverse(X_42),X_42),inverse(X_4))),double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10))) )],[refute_0_139,refute_0_142]) ).
cnf(refute_0_144,plain,
multiply(multiply(inverse(X_42),X_42),X_10) = X_10,
inference(subst,[],[refute_0_124:[bind(X_13,$fot(X_10)),bind(X_15,$fot(X_42))]]) ).
cnf(refute_0_145,plain,
double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10)) = double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10)),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10)))]]) ).
cnf(refute_0_146,plain,
( multiply(multiply(inverse(X_42),X_42),X_10) != X_10
| double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10)) != double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10))
| double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10)) = double_divide(inverse(X_4),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10)),double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_147,plain,
( multiply(multiply(inverse(X_42),X_42),X_10) != X_10
| double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10)) = double_divide(inverse(X_4),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10)),double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10)) = double_divide(inverse(X_4),X_10),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_42),X_42),X_10),X_10) )],[refute_0_144,refute_0_147]) ).
cnf(refute_0_149,plain,
( double_divide(X_10,inverse(X_4)) != double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10))
| double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10)) != double_divide(inverse(X_4),X_10)
| double_divide(X_10,inverse(X_4)) = double_divide(inverse(X_4),X_10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_10,inverse(X_4)),double_divide(inverse(X_4),X_10)) ),[0],$fot(double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10)))]]) ).
cnf(refute_0_150,plain,
( double_divide(X_10,inverse(X_4)) != double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10))
| double_divide(X_10,inverse(X_4)) = double_divide(inverse(X_4),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10)),double_divide(inverse(X_4),X_10)) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
double_divide(X_10,inverse(X_4)) = double_divide(inverse(X_4),X_10),
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(X_4)),double_divide(inverse(X_4),multiply(multiply(inverse(X_42),X_42),X_10))) )],[refute_0_143,refute_0_150]) ).
cnf(refute_0_152,plain,
double_divide(multiply(X_11,X_10),inverse(X_4)) = double_divide(inverse(X_4),multiply(X_11,X_10)),
inference(subst,[],[refute_0_151:[bind(X_10,$fot(multiply(X_11,X_10)))]]) ).
cnf(refute_0_153,plain,
( double_divide(multiply(X_11,X_10),inverse(X_4)) != double_divide(inverse(X_4),multiply(X_11,X_10))
| double_divide(inverse(X_4),multiply(X_11,X_10)) = double_divide(multiply(X_11,X_10),inverse(X_4)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(multiply(X_11,X_10),inverse(X_4)))),bind(Y,$fot(double_divide(inverse(X_4),multiply(X_11,X_10))))]]) ).
cnf(refute_0_154,plain,
double_divide(inverse(X_4),multiply(X_11,X_10)) = double_divide(multiply(X_11,X_10),inverse(X_4)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_11,X_10),inverse(X_4)),double_divide(inverse(X_4),multiply(X_11,X_10))) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
( double_divide(X_10,multiply(X_11,inverse(X_4))) != double_divide(inverse(X_4),multiply(X_11,X_10))
| double_divide(inverse(X_4),multiply(X_11,X_10)) != double_divide(multiply(X_11,X_10),inverse(X_4))
| double_divide(X_10,multiply(X_11,inverse(X_4))) = double_divide(multiply(X_11,X_10),inverse(X_4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_10,multiply(X_11,inverse(X_4))),double_divide(multiply(X_11,X_10),inverse(X_4))) ),[0],$fot(double_divide(inverse(X_4),multiply(X_11,X_10)))]]) ).
cnf(refute_0_156,plain,
( double_divide(X_10,multiply(X_11,inverse(X_4))) != double_divide(inverse(X_4),multiply(X_11,X_10))
| double_divide(X_10,multiply(X_11,inverse(X_4))) = double_divide(multiply(X_11,X_10),inverse(X_4)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_4),multiply(X_11,X_10)),double_divide(multiply(X_11,X_10),inverse(X_4))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
double_divide(X_10,multiply(X_11,inverse(X_4))) = double_divide(multiply(X_11,X_10),inverse(X_4)),
inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(X_11,inverse(X_4))),double_divide(inverse(X_4),multiply(X_11,X_10))) )],[refute_0_95,refute_0_156]) ).
cnf(refute_0_158,plain,
( double_divide(X_10,multiply(X_11,inverse(X_4))) != double_divide(multiply(X_11,X_10),inverse(X_4))
| double_divide(multiply(X_11,X_10),inverse(X_4)) = double_divide(X_10,multiply(X_11,inverse(X_4))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(X_10,multiply(X_11,inverse(X_4))))),bind(Y,$fot(double_divide(multiply(X_11,X_10),inverse(X_4))))]]) ).
cnf(refute_0_159,plain,
double_divide(multiply(X_11,X_10),inverse(X_4)) = double_divide(X_10,multiply(X_11,inverse(X_4))),
inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(X_11,inverse(X_4))),double_divide(multiply(X_11,X_10),inverse(X_4))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
double_divide(multiply(inverse(X_40),X_38),inverse(X_39)) = double_divide(X_38,multiply(inverse(X_40),inverse(X_39))),
inference(subst,[],[refute_0_159:[bind(X_10,$fot(X_38)),bind(X_11,$fot(inverse(X_40))),bind(X_4,$fot(X_39))]]) ).
cnf(refute_0_161,plain,
( multiply(multiply(inverse(X_38),X_39),X_40) != double_divide(multiply(inverse(X_40),X_38),inverse(X_39))
| double_divide(multiply(inverse(X_40),X_38),inverse(X_39)) != double_divide(X_38,multiply(inverse(X_40),inverse(X_39)))
| multiply(multiply(inverse(X_38),X_39),X_40) = double_divide(X_38,multiply(inverse(X_40),inverse(X_39))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(X_38),X_39),X_40),double_divide(X_38,multiply(inverse(X_40),inverse(X_39)))) ),[0],$fot(double_divide(multiply(inverse(X_40),X_38),inverse(X_39)))]]) ).
cnf(refute_0_162,plain,
( multiply(multiply(inverse(X_38),X_39),X_40) != double_divide(multiply(inverse(X_40),X_38),inverse(X_39))
| multiply(multiply(inverse(X_38),X_39),X_40) = double_divide(X_38,multiply(inverse(X_40),inverse(X_39))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_40),X_38),inverse(X_39)),double_divide(X_38,multiply(inverse(X_40),inverse(X_39)))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
multiply(multiply(inverse(X_38),X_39),X_40) = double_divide(X_38,multiply(inverse(X_40),inverse(X_39))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_38),X_39),X_40),double_divide(multiply(inverse(X_40),X_38),inverse(X_39))) )],[refute_0_118,refute_0_162]) ).
cnf(refute_0_164,plain,
( multiply(multiply(inverse(X_38),X_39),X_40) != double_divide(X_38,multiply(inverse(X_40),inverse(X_39)))
| double_divide(X_38,multiply(inverse(X_40),inverse(X_39))) = multiply(multiply(inverse(X_38),X_39),X_40) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(multiply(inverse(X_38),X_39),X_40))),bind(Y,$fot(double_divide(X_38,multiply(inverse(X_40),inverse(X_39)))))]]) ).
cnf(refute_0_165,plain,
double_divide(X_38,multiply(inverse(X_40),inverse(X_39))) = multiply(multiply(inverse(X_38),X_39),X_40),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_38),X_39),X_40),double_divide(X_38,multiply(inverse(X_40),inverse(X_39)))) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))) = multiply(multiply(inverse(multiply(inverse(X_43),X_43)),X_4),X_44),
inference(subst,[],[refute_0_165:[bind(X_38,$fot(multiply(inverse(X_43),X_43))),bind(X_39,$fot(X_4)),bind(X_40,$fot(X_44))]]) ).
cnf(refute_0_167,plain,
( multiply(multiply(inverse(multiply(inverse(X_43),X_43)),X_4),X_44) != multiply(X_4,X_44)
| double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))) != multiply(multiply(inverse(multiply(inverse(X_43),X_43)),X_4),X_44)
| double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))) = multiply(X_4,X_44) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))))),bind(Y,$fot(multiply(multiply(inverse(multiply(inverse(X_43),X_43)),X_4),X_44))),bind(Z,$fot(multiply(X_4,X_44)))]]) ).
cnf(refute_0_168,plain,
( multiply(multiply(inverse(multiply(inverse(X_43),X_43)),X_4),X_44) != multiply(X_4,X_44)
| double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))) = multiply(X_4,X_44) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))),multiply(multiply(inverse(multiply(inverse(X_43),X_43)),X_4),X_44)) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))) = multiply(X_4,X_44),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(inverse(X_43),X_43)),X_4),X_44),multiply(X_4,X_44)) )],[refute_0_138,refute_0_168]) ).
cnf(refute_0_170,plain,
( double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))) != multiply(X_4,X_44)
| double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))) != double_divide(inverse(X_4),inverse(X_44))
| multiply(X_4,X_44) = double_divide(inverse(X_4),inverse(X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))),double_divide(inverse(X_4),inverse(X_44))) ),[0],$fot(multiply(X_4,X_44))]]) ).
cnf(refute_0_171,plain,
( double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))) != double_divide(inverse(X_4),inverse(X_44))
| multiply(X_4,X_44) = double_divide(inverse(X_4),inverse(X_44)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))),multiply(X_4,X_44)) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
multiply(X_4,X_44) = double_divide(inverse(X_4),inverse(X_44)),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_43),X_43),multiply(inverse(X_44),inverse(X_4))),double_divide(inverse(X_4),inverse(X_44))) )],[refute_0_109,refute_0_171]) ).
cnf(refute_0_173,plain,
( multiply(X_4,X_44) != double_divide(inverse(X_4),inverse(X_44))
| double_divide(inverse(X_4),inverse(X_44)) = multiply(X_4,X_44) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_4,X_44))),bind(Y,$fot(double_divide(inverse(X_4),inverse(X_44))))]]) ).
cnf(refute_0_174,plain,
double_divide(inverse(X_4),inverse(X_44)) = multiply(X_4,X_44),
inference(resolve,[$cnf( $equal(multiply(X_4,X_44),double_divide(inverse(X_4),inverse(X_44))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
double_divide(inverse(X_29),inverse(multiply(A,B))) = multiply(X_29,multiply(A,B)),
inference(subst,[],[refute_0_174:[bind(X_4,$fot(X_29)),bind(X_44,$fot(multiply(A,B)))]]) ).
cnf(refute_0_176,plain,
( double_divide(inverse(X_29),inverse(multiply(A,B))) != multiply(X_29,multiply(A,B))
| double_divide(inverse(X_29),inverse(multiply(A,B))) != multiply(multiply(A,B),X_29)
| multiply(X_29,multiply(A,B)) = multiply(multiply(A,B),X_29) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_29),inverse(multiply(A,B))),multiply(multiply(A,B),X_29)) ),[0],$fot(multiply(X_29,multiply(A,B)))]]) ).
cnf(refute_0_177,plain,
( double_divide(inverse(X_29),inverse(multiply(A,B))) != multiply(multiply(A,B),X_29)
| multiply(X_29,multiply(A,B)) = multiply(multiply(A,B),X_29) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_29),inverse(multiply(A,B))),multiply(X_29,multiply(A,B))) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
multiply(X_29,multiply(A,B)) = multiply(multiply(A,B),X_29),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_29),inverse(multiply(A,B))),multiply(multiply(A,B),X_29)) )],[refute_0_63,refute_0_177]) ).
cnf(refute_0_179,plain,
( multiply(X_29,multiply(A,B)) != multiply(multiply(A,B),X_29)
| multiply(multiply(A,B),X_29) = multiply(X_29,multiply(A,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_29,multiply(A,B)))),bind(Y,$fot(multiply(multiply(A,B),X_29)))]]) ).
cnf(refute_0_180,plain,
multiply(multiply(A,B),X_29) = multiply(X_29,multiply(A,B)),
inference(resolve,[$cnf( $equal(multiply(X_29,multiply(A,B)),multiply(multiply(A,B),X_29)) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_180:[bind(A,$fot(a3)),bind(B,$fot(b3)),bind(X_29,$fot(c3))]]) ).
cnf(refute_0_182,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_183,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_183,prove_these_axioms_3]) ).
cnf(refute_0_185,plain,
double_divide(X_31,multiply(inverse(multiply(inverse(X_33),X_16)),inverse(X_33))) = double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31)),
inference(subst,[],[refute_0_95:[bind(X_10,$fot(X_31)),bind(X_11,$fot(inverse(multiply(inverse(X_33),X_16)))),bind(X_4,$fot(X_33))]]) ).
cnf(refute_0_186,plain,
multiply(inverse(multiply(inverse(X_33),X_16)),inverse(X_33)) = inverse(X_16),
inference(subst,[],[refute_0_48:[bind(X_22,$fot(X_33))]]) ).
cnf(refute_0_187,plain,
( multiply(inverse(multiply(inverse(X_33),X_16)),inverse(X_33)) != inverse(X_16)
| double_divide(X_31,multiply(inverse(multiply(inverse(X_33),X_16)),inverse(X_33))) != double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31))
| double_divide(X_31,inverse(X_16)) = double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_31,multiply(inverse(multiply(inverse(X_33),X_16)),inverse(X_33))),double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31))) ),[0,1],$fot(inverse(X_16))]]) ).
cnf(refute_0_188,plain,
( double_divide(X_31,multiply(inverse(multiply(inverse(X_33),X_16)),inverse(X_33))) != double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31))
| double_divide(X_31,inverse(X_16)) = double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_33),X_16)),inverse(X_33)),inverse(X_16)) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
double_divide(X_31,inverse(X_16)) = double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31)),
inference(resolve,[$cnf( $equal(double_divide(X_31,multiply(inverse(multiply(inverse(X_33),X_16)),inverse(X_33))),double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31))) )],[refute_0_185,refute_0_188]) ).
cnf(refute_0_190,plain,
double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(inverse(C),inverse(inverse(C))))) = C,
inference(subst,[],[refute_0_27:[bind(X_4,$fot(inverse(inverse(C))))]]) ).
cnf(refute_0_191,plain,
multiply(inverse(X_23),multiply(inverse(double_divide(B,A)),X_23)) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_43:[bind(X_16,$fot(double_divide(B,A))),bind(X_17,$fot(X_23))]]) ).
cnf(refute_0_192,plain,
( multiply(inverse(X_23),multiply(inverse(double_divide(B,A)),X_23)) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(X_23),multiply(multiply(A,B),X_23)) = inverse(double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_23),multiply(inverse(double_divide(B,A)),X_23)),inverse(double_divide(B,A))) ),[0,1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_193,plain,
( multiply(inverse(X_23),multiply(inverse(double_divide(B,A)),X_23)) != inverse(double_divide(B,A))
| multiply(inverse(X_23),multiply(multiply(A,B),X_23)) = inverse(double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_192]) ).
cnf(refute_0_194,plain,
multiply(inverse(X_23),multiply(multiply(A,B),X_23)) = inverse(double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_23),multiply(inverse(double_divide(B,A)),X_23)),inverse(double_divide(B,A))) )],[refute_0_191,refute_0_193]) ).
cnf(refute_0_195,plain,
( multiply(inverse(X_23),multiply(multiply(A,B),X_23)) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(X_23),multiply(multiply(A,B),X_23)) = multiply(A,B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_23),multiply(multiply(A,B),X_23)),multiply(A,B)) ),[0],$fot(inverse(double_divide(B,A)))]]) ).
cnf(refute_0_196,plain,
( multiply(inverse(X_23),multiply(multiply(A,B),X_23)) != inverse(double_divide(B,A))
| multiply(inverse(X_23),multiply(multiply(A,B),X_23)) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_195]) ).
cnf(refute_0_197,plain,
multiply(inverse(X_23),multiply(multiply(A,B),X_23)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(inverse(X_23),multiply(multiply(A,B),X_23)),inverse(double_divide(B,A))) )],[refute_0_194,refute_0_196]) ).
cnf(refute_0_198,plain,
multiply(inverse(X_56),multiply(multiply(X_54,inverse(X_54)),X_56)) = multiply(X_54,inverse(X_54)),
inference(subst,[],[refute_0_197:[bind(A,$fot(X_54)),bind(B,$fot(inverse(X_54))),bind(X_23,$fot(X_56))]]) ).
cnf(refute_0_199,plain,
multiply(inverse(X_46),B) = inverse(double_divide(B,inverse(X_46))),
inference(subst,[],[multiply:[bind(A,$fot(inverse(X_46)))]]) ).
cnf(refute_0_200,plain,
double_divide(B,inverse(X_46)) = double_divide(inverse(X_46),B),
inference(subst,[],[refute_0_151:[bind(X_10,$fot(B)),bind(X_4,$fot(X_46))]]) ).
cnf(refute_0_201,plain,
( multiply(inverse(X_46),B) != inverse(double_divide(B,inverse(X_46)))
| double_divide(B,inverse(X_46)) != double_divide(inverse(X_46),B)
| multiply(inverse(X_46),B) = inverse(double_divide(inverse(X_46),B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_46),B),inverse(double_divide(B,inverse(X_46)))) ),[1,0],$fot(double_divide(inverse(X_46),B))]]) ).
cnf(refute_0_202,plain,
( multiply(inverse(X_46),B) != inverse(double_divide(B,inverse(X_46)))
| multiply(inverse(X_46),B) = inverse(double_divide(inverse(X_46),B)) ),
inference(resolve,[$cnf( $equal(double_divide(B,inverse(X_46)),double_divide(inverse(X_46),B)) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
multiply(inverse(X_46),B) = inverse(double_divide(inverse(X_46),B)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_46),B),inverse(double_divide(B,inverse(X_46)))) )],[refute_0_199,refute_0_202]) ).
cnf(refute_0_204,plain,
inverse(double_divide(inverse(X_46),B)) = multiply(B,inverse(X_46)),
inference(subst,[],[refute_0_4:[bind(A,$fot(B)),bind(B,$fot(inverse(X_46)))]]) ).
cnf(refute_0_205,plain,
( multiply(inverse(X_46),B) != inverse(double_divide(inverse(X_46),B))
| inverse(double_divide(inverse(X_46),B)) != multiply(B,inverse(X_46))
| multiply(inverse(X_46),B) = multiply(B,inverse(X_46)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_46),B),multiply(B,inverse(X_46))) ),[0],$fot(inverse(double_divide(inverse(X_46),B)))]]) ).
cnf(refute_0_206,plain,
( multiply(inverse(X_46),B) != inverse(double_divide(inverse(X_46),B))
| multiply(inverse(X_46),B) = multiply(B,inverse(X_46)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_46),B)),multiply(B,inverse(X_46))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
multiply(inverse(X_46),B) = multiply(B,inverse(X_46)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_46),B),inverse(double_divide(inverse(X_46),B))) )],[refute_0_203,refute_0_206]) ).
cnf(refute_0_208,plain,
multiply(inverse(X_15),X_15) = multiply(X_15,inverse(X_15)),
inference(subst,[],[refute_0_207:[bind(B,$fot(X_15)),bind(X_46,$fot(X_15))]]) ).
cnf(refute_0_209,plain,
multiply(multiply(inverse(X_15),X_15),X_13) = multiply(multiply(inverse(X_15),X_15),X_13),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_15),X_15),X_13))]]) ).
cnf(refute_0_210,plain,
( multiply(multiply(inverse(X_15),X_15),X_13) != multiply(multiply(inverse(X_15),X_15),X_13)
| multiply(inverse(X_15),X_15) != multiply(X_15,inverse(X_15))
| multiply(multiply(inverse(X_15),X_15),X_13) = multiply(multiply(X_15,inverse(X_15)),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_15),X_15),X_13),multiply(multiply(inverse(X_15),X_15),X_13)) ),[1,0],$fot(multiply(X_15,inverse(X_15)))]]) ).
cnf(refute_0_211,plain,
( multiply(inverse(X_15),X_15) != multiply(X_15,inverse(X_15))
| multiply(multiply(inverse(X_15),X_15),X_13) = multiply(multiply(X_15,inverse(X_15)),X_13) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_15),X_15),X_13),multiply(multiply(inverse(X_15),X_15),X_13)) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
multiply(multiply(inverse(X_15),X_15),X_13) = multiply(multiply(X_15,inverse(X_15)),X_13),
inference(resolve,[$cnf( $equal(multiply(inverse(X_15),X_15),multiply(X_15,inverse(X_15))) )],[refute_0_208,refute_0_211]) ).
cnf(refute_0_213,plain,
( multiply(multiply(inverse(X_15),X_15),X_13) != X_13
| multiply(multiply(inverse(X_15),X_15),X_13) != multiply(multiply(X_15,inverse(X_15)),X_13)
| multiply(multiply(X_15,inverse(X_15)),X_13) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_15),X_15),X_13),X_13) ),[0],$fot(multiply(multiply(X_15,inverse(X_15)),X_13))]]) ).
cnf(refute_0_214,plain,
( multiply(multiply(inverse(X_15),X_15),X_13) != X_13
| multiply(multiply(X_15,inverse(X_15)),X_13) = X_13 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_15),X_15),X_13),multiply(multiply(X_15,inverse(X_15)),X_13)) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
multiply(multiply(X_15,inverse(X_15)),X_13) = X_13,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_15),X_15),X_13),X_13) )],[refute_0_124,refute_0_214]) ).
cnf(refute_0_216,plain,
multiply(multiply(X_54,inverse(X_54)),X_56) = X_56,
inference(subst,[],[refute_0_215:[bind(X_13,$fot(X_56)),bind(X_15,$fot(X_54))]]) ).
cnf(refute_0_217,plain,
( multiply(multiply(X_54,inverse(X_54)),X_56) != X_56
| multiply(inverse(X_56),multiply(multiply(X_54,inverse(X_54)),X_56)) != multiply(X_54,inverse(X_54))
| multiply(inverse(X_56),X_56) = multiply(X_54,inverse(X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_56),multiply(multiply(X_54,inverse(X_54)),X_56)),multiply(X_54,inverse(X_54))) ),[0,1],$fot(X_56)]]) ).
cnf(refute_0_218,plain,
( multiply(inverse(X_56),multiply(multiply(X_54,inverse(X_54)),X_56)) != multiply(X_54,inverse(X_54))
| multiply(inverse(X_56),X_56) = multiply(X_54,inverse(X_54)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_54,inverse(X_54)),X_56),X_56) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
multiply(inverse(X_56),X_56) = multiply(X_54,inverse(X_54)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),multiply(multiply(X_54,inverse(X_54)),X_56)),multiply(X_54,inverse(X_54))) )],[refute_0_198,refute_0_218]) ).
cnf(refute_0_220,plain,
multiply(inverse(X_56),X_56) = multiply(X_56,inverse(X_56)),
inference(subst,[],[refute_0_207:[bind(B,$fot(X_56)),bind(X_46,$fot(X_56))]]) ).
cnf(refute_0_221,plain,
( multiply(inverse(X_56),X_56) != multiply(X_54,inverse(X_54))
| multiply(inverse(X_56),X_56) != multiply(X_56,inverse(X_56))
| multiply(X_56,inverse(X_56)) = multiply(X_54,inverse(X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_56),X_56),multiply(X_54,inverse(X_54))) ),[0],$fot(multiply(X_56,inverse(X_56)))]]) ).
cnf(refute_0_222,plain,
( multiply(inverse(X_56),X_56) != multiply(X_54,inverse(X_54))
| multiply(X_56,inverse(X_56)) = multiply(X_54,inverse(X_54)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),X_56),multiply(X_56,inverse(X_56))) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
multiply(X_56,inverse(X_56)) = multiply(X_54,inverse(X_54)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),X_56),multiply(X_54,inverse(X_54))) )],[refute_0_219,refute_0_222]) ).
cnf(refute_0_224,plain,
multiply(inverse(C),inverse(inverse(C))) = multiply(X_59,inverse(X_59)),
inference(subst,[],[refute_0_223:[bind(X_54,$fot(X_59)),bind(X_56,$fot(inverse(C)))]]) ).
cnf(refute_0_225,plain,
( multiply(inverse(C),inverse(inverse(C))) != multiply(X_59,inverse(X_59))
| double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(inverse(C),inverse(inverse(C))))) != C
| double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(inverse(C),inverse(inverse(C))))),C) ),[0,1,1],$fot(multiply(X_59,inverse(X_59)))]]) ).
cnf(refute_0_226,plain,
( double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(inverse(C),inverse(inverse(C))))) != C
| double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))) = C ),
inference(resolve,[$cnf( $equal(multiply(inverse(C),inverse(inverse(C))),multiply(X_59,inverse(X_59))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))) = C,
inference(resolve,[$cnf( $equal(double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(inverse(C),inverse(inverse(C))))),C) )],[refute_0_190,refute_0_226]) ).
cnf(refute_0_228,plain,
double_divide(X_2,multiply(X_3,multiply(multiply(multiply(inverse(X_39),multiply(inverse(X_40),X_38)),multiply(inverse(X_38),X_39)),double_divide(X_2,X_3)))) = double_divide(multiply(inverse(X_38),X_39),multiply(inverse(X_39),multiply(inverse(X_40),X_38))),
inference(subst,[],[refute_0_67:[bind(A,$fot(multiply(inverse(X_39),multiply(inverse(X_40),X_38)))),bind(B,$fot(multiply(inverse(X_38),X_39)))]]) ).
cnf(refute_0_229,plain,
( multiply(multiply(inverse(X_39),multiply(inverse(X_40),X_38)),multiply(inverse(X_38),X_39)) != inverse(X_40)
| double_divide(X_2,multiply(X_3,multiply(multiply(multiply(inverse(X_39),multiply(inverse(X_40),X_38)),multiply(inverse(X_38),X_39)),double_divide(X_2,X_3)))) != double_divide(multiply(inverse(X_38),X_39),multiply(inverse(X_39),multiply(inverse(X_40),X_38)))
| double_divide(X_2,multiply(X_3,multiply(inverse(X_40),double_divide(X_2,X_3)))) = double_divide(multiply(inverse(X_38),X_39),multiply(inverse(X_39),multiply(inverse(X_40),X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_2,multiply(X_3,multiply(multiply(multiply(inverse(X_39),multiply(inverse(X_40),X_38)),multiply(inverse(X_38),X_39)),double_divide(X_2,X_3)))),double_divide(multiply(inverse(X_38),X_39),multiply(inverse(X_39),multiply(inverse(X_40),X_38)))) ),[0,1,1,0],$fot(inverse(X_40))]]) ).
cnf(refute_0_230,plain,
( double_divide(X_2,multiply(X_3,multiply(multiply(multiply(inverse(X_39),multiply(inverse(X_40),X_38)),multiply(inverse(X_38),X_39)),double_divide(X_2,X_3)))) != double_divide(multiply(inverse(X_38),X_39),multiply(inverse(X_39),multiply(inverse(X_40),X_38)))
| double_divide(X_2,multiply(X_3,multiply(inverse(X_40),double_divide(X_2,X_3)))) = double_divide(multiply(inverse(X_38),X_39),multiply(inverse(X_39),multiply(inverse(X_40),X_38))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_39),multiply(inverse(X_40),X_38)),multiply(inverse(X_38),X_39)),inverse(X_40)) )],[refute_0_111,refute_0_229]) ).
cnf(refute_0_231,plain,
double_divide(X_2,multiply(X_3,multiply(inverse(X_40),double_divide(X_2,X_3)))) = double_divide(multiply(inverse(X_38),X_39),multiply(inverse(X_39),multiply(inverse(X_40),X_38))),
inference(resolve,[$cnf( $equal(double_divide(X_2,multiply(X_3,multiply(multiply(multiply(inverse(X_39),multiply(inverse(X_40),X_38)),multiply(inverse(X_38),X_39)),double_divide(X_2,X_3)))),double_divide(multiply(inverse(X_38),X_39),multiply(inverse(X_39),multiply(inverse(X_40),X_38)))) )],[refute_0_228,refute_0_230]) ).
cnf(refute_0_232,plain,
double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),double_divide(multiply(inverse(X_16),X_17),inverse(X_17))))) = C,
inference(subst,[],[refute_0_22:[bind(A,$fot(multiply(inverse(X_16),X_17))),bind(B,$fot(inverse(X_17)))]]) ).
cnf(refute_0_233,plain,
( double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),double_divide(multiply(inverse(X_16),X_17),inverse(X_17))))) != C
| double_divide(multiply(inverse(X_16),X_17),inverse(X_17)) != X_16
| double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),X_16))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),double_divide(multiply(inverse(X_16),X_17),inverse(X_17))))),C) ),[0,1,1,1],$fot(X_16)]]) ).
cnf(refute_0_234,plain,
( double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),double_divide(multiply(inverse(X_16),X_17),inverse(X_17))))) != C
| double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),X_16))) = C ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_16),X_17),inverse(X_17)),X_16) )],[refute_0_40,refute_0_233]) ).
cnf(refute_0_235,plain,
double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),X_16))) = C,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),double_divide(multiply(inverse(X_16),X_17),inverse(X_17))))),C) )],[refute_0_232,refute_0_234]) ).
cnf(refute_0_236,plain,
double_divide(multiply(inverse(X_38),X_39),multiply(inverse(X_39),multiply(inverse(X_40),X_38))) = X_40,
inference(subst,[],[refute_0_235:[bind(C,$fot(X_40)),bind(X_16,$fot(X_38)),bind(X_17,$fot(X_39))]]) ).
cnf(refute_0_237,plain,
( double_divide(X_2,multiply(X_3,multiply(inverse(X_40),double_divide(X_2,X_3)))) != double_divide(multiply(inverse(X_38),X_39),multiply(inverse(X_39),multiply(inverse(X_40),X_38)))
| double_divide(multiply(inverse(X_38),X_39),multiply(inverse(X_39),multiply(inverse(X_40),X_38))) != X_40
| double_divide(X_2,multiply(X_3,multiply(inverse(X_40),double_divide(X_2,X_3)))) = X_40 ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_2,multiply(X_3,multiply(inverse(X_40),double_divide(X_2,X_3)))),X_40) ),[0],$fot(double_divide(multiply(inverse(X_38),X_39),multiply(inverse(X_39),multiply(inverse(X_40),X_38))))]]) ).
cnf(refute_0_238,plain,
( double_divide(X_2,multiply(X_3,multiply(inverse(X_40),double_divide(X_2,X_3)))) != double_divide(multiply(inverse(X_38),X_39),multiply(inverse(X_39),multiply(inverse(X_40),X_38)))
| double_divide(X_2,multiply(X_3,multiply(inverse(X_40),double_divide(X_2,X_3)))) = X_40 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_38),X_39),multiply(inverse(X_39),multiply(inverse(X_40),X_38))),X_40) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
double_divide(X_2,multiply(X_3,multiply(inverse(X_40),double_divide(X_2,X_3)))) = X_40,
inference(resolve,[$cnf( $equal(double_divide(X_2,multiply(X_3,multiply(inverse(X_40),double_divide(X_2,X_3)))),double_divide(multiply(inverse(X_38),X_39),multiply(inverse(X_39),multiply(inverse(X_40),X_38)))) )],[refute_0_231,refute_0_238]) ).
cnf(refute_0_240,plain,
double_divide(A,multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3)))) = inverse(inverse(C)),
inference(subst,[],[refute_0_239:[bind(X_2,$fot(A)),bind(X_40,$fot(inverse(inverse(C))))]]) ).
cnf(refute_0_241,plain,
multiply(inverse(double_divide(B,A)),multiply(inverse(X_43),X_43)) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_105:[bind(X_38,$fot(X_43)),bind(X_40,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_242,plain,
( multiply(inverse(double_divide(B,A)),multiply(inverse(X_43),X_43)) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(multiply(A,B),multiply(inverse(X_43),X_43)) = inverse(double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(B,A)),multiply(inverse(X_43),X_43)),inverse(double_divide(B,A))) ),[0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_243,plain,
( multiply(inverse(double_divide(B,A)),multiply(inverse(X_43),X_43)) != inverse(double_divide(B,A))
| multiply(multiply(A,B),multiply(inverse(X_43),X_43)) = inverse(double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_242]) ).
cnf(refute_0_244,plain,
multiply(multiply(A,B),multiply(inverse(X_43),X_43)) = inverse(double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),multiply(inverse(X_43),X_43)),inverse(double_divide(B,A))) )],[refute_0_241,refute_0_243]) ).
cnf(refute_0_245,plain,
( multiply(multiply(A,B),multiply(inverse(X_43),X_43)) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(multiply(A,B),multiply(inverse(X_43),X_43)) = multiply(A,B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(A,B),multiply(inverse(X_43),X_43)),multiply(A,B)) ),[0],$fot(inverse(double_divide(B,A)))]]) ).
cnf(refute_0_246,plain,
( multiply(multiply(A,B),multiply(inverse(X_43),X_43)) != inverse(double_divide(B,A))
| multiply(multiply(A,B),multiply(inverse(X_43),X_43)) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_245]) ).
cnf(refute_0_247,plain,
multiply(multiply(A,B),multiply(inverse(X_43),X_43)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),multiply(inverse(X_43),X_43)),inverse(double_divide(B,A))) )],[refute_0_244,refute_0_246]) ).
cnf(refute_0_248,plain,
multiply(inverse(X_43),X_43) = multiply(X_43,inverse(X_43)),
inference(subst,[],[refute_0_207:[bind(B,$fot(X_43)),bind(X_46,$fot(X_43))]]) ).
cnf(refute_0_249,plain,
multiply(multiply(A,B),multiply(inverse(X_43),X_43)) = multiply(multiply(A,B),multiply(inverse(X_43),X_43)),
introduced(tautology,[refl,[$fot(multiply(multiply(A,B),multiply(inverse(X_43),X_43)))]]) ).
cnf(refute_0_250,plain,
( multiply(multiply(A,B),multiply(inverse(X_43),X_43)) != multiply(multiply(A,B),multiply(inverse(X_43),X_43))
| multiply(inverse(X_43),X_43) != multiply(X_43,inverse(X_43))
| multiply(multiply(A,B),multiply(inverse(X_43),X_43)) = multiply(multiply(A,B),multiply(X_43,inverse(X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,B),multiply(inverse(X_43),X_43)),multiply(multiply(A,B),multiply(inverse(X_43),X_43))) ),[1,1],$fot(multiply(X_43,inverse(X_43)))]]) ).
cnf(refute_0_251,plain,
( multiply(inverse(X_43),X_43) != multiply(X_43,inverse(X_43))
| multiply(multiply(A,B),multiply(inverse(X_43),X_43)) = multiply(multiply(A,B),multiply(X_43,inverse(X_43))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),multiply(inverse(X_43),X_43)),multiply(multiply(A,B),multiply(inverse(X_43),X_43))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
multiply(multiply(A,B),multiply(inverse(X_43),X_43)) = multiply(multiply(A,B),multiply(X_43,inverse(X_43))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_43),X_43),multiply(X_43,inverse(X_43))) )],[refute_0_248,refute_0_251]) ).
cnf(refute_0_253,plain,
( multiply(multiply(A,B),multiply(inverse(X_43),X_43)) != multiply(A,B)
| multiply(multiply(A,B),multiply(inverse(X_43),X_43)) != multiply(multiply(A,B),multiply(X_43,inverse(X_43)))
| multiply(multiply(A,B),multiply(X_43,inverse(X_43))) = multiply(A,B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,B),multiply(inverse(X_43),X_43)),multiply(A,B)) ),[0],$fot(multiply(multiply(A,B),multiply(X_43,inverse(X_43))))]]) ).
cnf(refute_0_254,plain,
( multiply(multiply(A,B),multiply(inverse(X_43),X_43)) != multiply(A,B)
| multiply(multiply(A,B),multiply(X_43,inverse(X_43))) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),multiply(inverse(X_43),X_43)),multiply(multiply(A,B),multiply(X_43,inverse(X_43)))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
multiply(multiply(A,B),multiply(X_43,inverse(X_43))) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),multiply(inverse(X_43),X_43)),multiply(A,B)) )],[refute_0_247,refute_0_254]) ).
cnf(refute_0_256,plain,
multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59))) = multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),
inference(subst,[],[refute_0_255:[bind(A,$fot(X_3)),bind(B,$fot(multiply(inverse(inverse(inverse(C))),double_divide(A,X_3)))),bind(X_43,$fot(X_59))]]) ).
cnf(refute_0_257,plain,
double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))) = double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))),
introduced(tautology,[refl,[$fot(double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))))]]) ).
cnf(refute_0_258,plain,
( multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59))) != multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3)))
| double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))) != double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59))))
| double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))) = double_divide(A,multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))),double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59))))) ),[1,1],$fot(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))))]]) ).
cnf(refute_0_259,plain,
( multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59))) != multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3)))
| double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))) = double_divide(A,multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3)))) ),
inference(resolve,[$cnf( $equal(double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))),double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59))))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))) = double_divide(A,multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59))),multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3)))) )],[refute_0_256,refute_0_259]) ).
cnf(refute_0_261,plain,
( double_divide(A,multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3)))) != inverse(inverse(C))
| double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))) != double_divide(A,multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))))
| double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))) = inverse(inverse(C)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))))),bind(Y,$fot(double_divide(A,multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3)))))),bind(Z,$fot(inverse(inverse(C))))]]) ).
cnf(refute_0_262,plain,
( double_divide(A,multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3)))) != inverse(inverse(C))
| double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))) = inverse(inverse(C)) ),
inference(resolve,[$cnf( $equal(double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))),double_divide(A,multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))) = inverse(inverse(C)),
inference(resolve,[$cnf( $equal(double_divide(A,multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3)))),inverse(inverse(C))) )],[refute_0_240,refute_0_262]) ).
cnf(refute_0_264,plain,
( double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))) != C
| double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))) != inverse(inverse(C))
| inverse(inverse(C)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))),C) ),[0],$fot(inverse(inverse(C)))]]) ).
cnf(refute_0_265,plain,
( double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))) != C
| inverse(inverse(C)) = C ),
inference(resolve,[$cnf( $equal(double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))),inverse(inverse(C))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
inverse(inverse(C)) = C,
inference(resolve,[$cnf( $equal(double_divide(A,multiply(multiply(X_3,multiply(inverse(inverse(inverse(C))),double_divide(A,X_3))),multiply(X_59,inverse(X_59)))),C) )],[refute_0_227,refute_0_265]) ).
cnf(refute_0_267,plain,
inverse(inverse(X_25)) = X_25,
inference(subst,[],[refute_0_266:[bind(C,$fot(X_25))]]) ).
cnf(refute_0_268,plain,
multiply(inverse(inverse(X_25)),inverse(X_24)) = multiply(inverse(inverse(X_25)),inverse(X_24)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_25)),inverse(X_24)))]]) ).
cnf(refute_0_269,plain,
( multiply(inverse(inverse(X_25)),inverse(X_24)) != multiply(inverse(inverse(X_25)),inverse(X_24))
| inverse(inverse(X_25)) != X_25
| multiply(inverse(inverse(X_25)),inverse(X_24)) = multiply(X_25,inverse(X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_25)),inverse(X_24)),multiply(inverse(inverse(X_25)),inverse(X_24))) ),[1,0],$fot(X_25)]]) ).
cnf(refute_0_270,plain,
( inverse(inverse(X_25)) != X_25
| multiply(inverse(inverse(X_25)),inverse(X_24)) = multiply(X_25,inverse(X_24)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_25)),inverse(X_24)),multiply(inverse(inverse(X_25)),inverse(X_24))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
multiply(inverse(inverse(X_25)),inverse(X_24)) = multiply(X_25,inverse(X_24)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_25)),X_25) )],[refute_0_267,refute_0_270]) ).
cnf(refute_0_272,plain,
( multiply(inverse(inverse(X_25)),inverse(X_24)) != multiply(X_25,inverse(X_24))
| multiply(inverse(inverse(X_25)),inverse(X_24)) != inverse(multiply(inverse(X_25),X_24))
| multiply(X_25,inverse(X_24)) = inverse(multiply(inverse(X_25),X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_25)),inverse(X_24)),inverse(multiply(inverse(X_25),X_24))) ),[0],$fot(multiply(X_25,inverse(X_24)))]]) ).
cnf(refute_0_273,plain,
( multiply(inverse(inverse(X_25)),inverse(X_24)) != inverse(multiply(inverse(X_25),X_24))
| multiply(X_25,inverse(X_24)) = inverse(multiply(inverse(X_25),X_24)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_25)),inverse(X_24)),multiply(X_25,inverse(X_24))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
multiply(X_25,inverse(X_24)) = inverse(multiply(inverse(X_25),X_24)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_25)),inverse(X_24)),inverse(multiply(inverse(X_25),X_24))) )],[refute_0_129,refute_0_273]) ).
cnf(refute_0_275,plain,
double_divide(X_2,multiply(X_3,multiply(multiply(inverse(double_divide(X_2,X_3)),B),double_divide(X_2,X_3)))) = double_divide(B,inverse(double_divide(X_2,X_3))),
inference(subst,[],[refute_0_67:[bind(A,$fot(inverse(double_divide(X_2,X_3))))]]) ).
cnf(refute_0_276,plain,
double_divide(multiply(inverse(X_13),multiply(inverse(X_22),X_13)),inverse(multiply(inverse(X_22),X_13))) = X_13,
inference(subst,[],[refute_0_37:[bind(X_15,$fot(multiply(inverse(X_22),X_13)))]]) ).
cnf(refute_0_277,plain,
multiply(inverse(X_13),multiply(inverse(X_22),X_13)) = inverse(X_22),
inference(subst,[],[refute_0_43:[bind(X_16,$fot(X_22)),bind(X_17,$fot(X_13))]]) ).
cnf(refute_0_278,plain,
( multiply(inverse(X_13),multiply(inverse(X_22),X_13)) != inverse(X_22)
| double_divide(multiply(inverse(X_13),multiply(inverse(X_22),X_13)),inverse(multiply(inverse(X_22),X_13))) != X_13
| double_divide(inverse(X_22),inverse(multiply(inverse(X_22),X_13))) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_13),multiply(inverse(X_22),X_13)),inverse(multiply(inverse(X_22),X_13))),X_13) ),[0,0],$fot(inverse(X_22))]]) ).
cnf(refute_0_279,plain,
( double_divide(multiply(inverse(X_13),multiply(inverse(X_22),X_13)),inverse(multiply(inverse(X_22),X_13))) != X_13
| double_divide(inverse(X_22),inverse(multiply(inverse(X_22),X_13))) = X_13 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),multiply(inverse(X_22),X_13)),inverse(X_22)) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
double_divide(inverse(X_22),inverse(multiply(inverse(X_22),X_13))) = X_13,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_13),multiply(inverse(X_22),X_13)),inverse(multiply(inverse(X_22),X_13))),X_13) )],[refute_0_276,refute_0_279]) ).
cnf(refute_0_281,plain,
double_divide(inverse(X_22),inverse(multiply(inverse(X_22),X_13))) = multiply(multiply(inverse(X_22),X_13),X_22),
inference(subst,[],[refute_0_63:[bind(A,$fot(inverse(X_22))),bind(B,$fot(X_13)),bind(X_29,$fot(X_22))]]) ).
cnf(refute_0_282,plain,
( double_divide(inverse(X_22),inverse(multiply(inverse(X_22),X_13))) != X_13
| double_divide(inverse(X_22),inverse(multiply(inverse(X_22),X_13))) != multiply(multiply(inverse(X_22),X_13),X_22)
| multiply(multiply(inverse(X_22),X_13),X_22) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_22),inverse(multiply(inverse(X_22),X_13))),X_13) ),[0],$fot(multiply(multiply(inverse(X_22),X_13),X_22))]]) ).
cnf(refute_0_283,plain,
( double_divide(inverse(X_22),inverse(multiply(inverse(X_22),X_13))) != X_13
| multiply(multiply(inverse(X_22),X_13),X_22) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_22),inverse(multiply(inverse(X_22),X_13))),multiply(multiply(inverse(X_22),X_13),X_22)) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
multiply(multiply(inverse(X_22),X_13),X_22) = X_13,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_22),inverse(multiply(inverse(X_22),X_13))),X_13) )],[refute_0_280,refute_0_283]) ).
cnf(refute_0_285,plain,
multiply(multiply(inverse(double_divide(X_2,X_3)),B),double_divide(X_2,X_3)) = B,
inference(subst,[],[refute_0_284:[bind(X_13,$fot(B)),bind(X_22,$fot(double_divide(X_2,X_3)))]]) ).
cnf(refute_0_286,plain,
( multiply(multiply(inverse(double_divide(X_2,X_3)),B),double_divide(X_2,X_3)) != B
| double_divide(X_2,multiply(X_3,multiply(multiply(inverse(double_divide(X_2,X_3)),B),double_divide(X_2,X_3)))) != double_divide(B,inverse(double_divide(X_2,X_3)))
| double_divide(X_2,multiply(X_3,B)) = double_divide(B,inverse(double_divide(X_2,X_3))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_2,multiply(X_3,multiply(multiply(inverse(double_divide(X_2,X_3)),B),double_divide(X_2,X_3)))),double_divide(B,inverse(double_divide(X_2,X_3)))) ),[0,1,1],$fot(B)]]) ).
cnf(refute_0_287,plain,
( double_divide(X_2,multiply(X_3,multiply(multiply(inverse(double_divide(X_2,X_3)),B),double_divide(X_2,X_3)))) != double_divide(B,inverse(double_divide(X_2,X_3)))
| double_divide(X_2,multiply(X_3,B)) = double_divide(B,inverse(double_divide(X_2,X_3))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(double_divide(X_2,X_3)),B),double_divide(X_2,X_3)),B) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
double_divide(X_2,multiply(X_3,B)) = double_divide(B,inverse(double_divide(X_2,X_3))),
inference(resolve,[$cnf( $equal(double_divide(X_2,multiply(X_3,multiply(multiply(inverse(double_divide(X_2,X_3)),B),double_divide(X_2,X_3)))),double_divide(B,inverse(double_divide(X_2,X_3)))) )],[refute_0_275,refute_0_287]) ).
cnf(refute_0_289,plain,
inverse(double_divide(X_2,X_3)) = multiply(X_3,X_2),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_3)),bind(B,$fot(X_2))]]) ).
cnf(refute_0_290,plain,
double_divide(B,inverse(double_divide(X_2,X_3))) = double_divide(B,inverse(double_divide(X_2,X_3))),
introduced(tautology,[refl,[$fot(double_divide(B,inverse(double_divide(X_2,X_3))))]]) ).
cnf(refute_0_291,plain,
( double_divide(B,inverse(double_divide(X_2,X_3))) != double_divide(B,inverse(double_divide(X_2,X_3)))
| inverse(double_divide(X_2,X_3)) != multiply(X_3,X_2)
| double_divide(B,inverse(double_divide(X_2,X_3))) = double_divide(B,multiply(X_3,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(B,inverse(double_divide(X_2,X_3))),double_divide(B,inverse(double_divide(X_2,X_3)))) ),[1,1],$fot(multiply(X_3,X_2))]]) ).
cnf(refute_0_292,plain,
( inverse(double_divide(X_2,X_3)) != multiply(X_3,X_2)
| double_divide(B,inverse(double_divide(X_2,X_3))) = double_divide(B,multiply(X_3,X_2)) ),
inference(resolve,[$cnf( $equal(double_divide(B,inverse(double_divide(X_2,X_3))),double_divide(B,inverse(double_divide(X_2,X_3)))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
double_divide(B,inverse(double_divide(X_2,X_3))) = double_divide(B,multiply(X_3,X_2)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_2,X_3)),multiply(X_3,X_2)) )],[refute_0_289,refute_0_292]) ).
cnf(refute_0_294,plain,
( double_divide(B,inverse(double_divide(X_2,X_3))) != double_divide(B,multiply(X_3,X_2))
| double_divide(X_2,multiply(X_3,B)) != double_divide(B,inverse(double_divide(X_2,X_3)))
| double_divide(X_2,multiply(X_3,B)) = double_divide(B,multiply(X_3,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_2,multiply(X_3,B)),double_divide(B,inverse(double_divide(X_2,X_3)))) ),[1],$fot(double_divide(B,multiply(X_3,X_2)))]]) ).
cnf(refute_0_295,plain,
( double_divide(X_2,multiply(X_3,B)) != double_divide(B,inverse(double_divide(X_2,X_3)))
| double_divide(X_2,multiply(X_3,B)) = double_divide(B,multiply(X_3,X_2)) ),
inference(resolve,[$cnf( $equal(double_divide(B,inverse(double_divide(X_2,X_3))),double_divide(B,multiply(X_3,X_2))) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
double_divide(X_2,multiply(X_3,B)) = double_divide(B,multiply(X_3,X_2)),
inference(resolve,[$cnf( $equal(double_divide(X_2,multiply(X_3,B)),double_divide(B,inverse(double_divide(X_2,X_3)))) )],[refute_0_288,refute_0_295]) ).
cnf(refute_0_297,plain,
( double_divide(X_2,multiply(X_3,B)) != double_divide(B,multiply(X_3,X_2))
| double_divide(B,multiply(X_3,X_2)) = double_divide(X_2,multiply(X_3,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(X_2,multiply(X_3,B)))),bind(Y,$fot(double_divide(B,multiply(X_3,X_2))))]]) ).
cnf(refute_0_298,plain,
double_divide(B,multiply(X_3,X_2)) = double_divide(X_2,multiply(X_3,B)),
inference(resolve,[$cnf( $equal(double_divide(X_2,multiply(X_3,B)),double_divide(B,multiply(X_3,X_2))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
double_divide(inverse(X_17),multiply(multiply(A,B),X_17)) = double_divide(X_17,multiply(multiply(A,B),inverse(X_17))),
inference(subst,[],[refute_0_298:[bind(B,$fot(inverse(X_17))),bind(X_2,$fot(X_17)),bind(X_3,$fot(multiply(A,B)))]]) ).
cnf(refute_0_300,plain,
double_divide(multiply(multiply(A,B),X_17),inverse(X_17)) = double_divide(inverse(X_17),multiply(multiply(A,B),X_17)),
inference(subst,[],[refute_0_151:[bind(X_10,$fot(multiply(multiply(A,B),X_17))),bind(X_4,$fot(X_17))]]) ).
cnf(refute_0_301,plain,
( double_divide(multiply(multiply(A,B),X_17),inverse(X_17)) != double_divide(inverse(X_17),multiply(multiply(A,B),X_17))
| double_divide(inverse(X_17),multiply(multiply(A,B),X_17)) != double_divide(X_17,multiply(multiply(A,B),inverse(X_17)))
| double_divide(multiply(multiply(A,B),X_17),inverse(X_17)) = double_divide(X_17,multiply(multiply(A,B),inverse(X_17))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(multiply(multiply(A,B),X_17),inverse(X_17)))),bind(Y,$fot(double_divide(inverse(X_17),multiply(multiply(A,B),X_17)))),bind(Z,$fot(double_divide(X_17,multiply(multiply(A,B),inverse(X_17)))))]]) ).
cnf(refute_0_302,plain,
( double_divide(inverse(X_17),multiply(multiply(A,B),X_17)) != double_divide(X_17,multiply(multiply(A,B),inverse(X_17)))
| double_divide(multiply(multiply(A,B),X_17),inverse(X_17)) = double_divide(X_17,multiply(multiply(A,B),inverse(X_17))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(A,B),X_17),inverse(X_17)),double_divide(inverse(X_17),multiply(multiply(A,B),X_17))) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
double_divide(multiply(multiply(A,B),X_17),inverse(X_17)) = double_divide(X_17,multiply(multiply(A,B),inverse(X_17))),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),multiply(multiply(A,B),X_17)),double_divide(X_17,multiply(multiply(A,B),inverse(X_17)))) )],[refute_0_299,refute_0_302]) ).
cnf(refute_0_304,plain,
( double_divide(multiply(multiply(A,B),X_17),inverse(X_17)) != double_divide(B,A)
| double_divide(multiply(multiply(A,B),X_17),inverse(X_17)) != double_divide(X_17,multiply(multiply(A,B),inverse(X_17)))
| double_divide(X_17,multiply(multiply(A,B),inverse(X_17))) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(A,B),X_17),inverse(X_17)),double_divide(B,A)) ),[0],$fot(double_divide(X_17,multiply(multiply(A,B),inverse(X_17))))]]) ).
cnf(refute_0_305,plain,
( double_divide(multiply(multiply(A,B),X_17),inverse(X_17)) != double_divide(B,A)
| double_divide(X_17,multiply(multiply(A,B),inverse(X_17))) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(A,B),X_17),inverse(X_17)),double_divide(X_17,multiply(multiply(A,B),inverse(X_17)))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
double_divide(X_17,multiply(multiply(A,B),inverse(X_17))) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(A,B),X_17),inverse(X_17)),double_divide(B,A)) )],[refute_0_81,refute_0_305]) ).
cnf(refute_0_307,plain,
double_divide(multiply(multiply(multiply(inverse(B),X_36),B),X_17),inverse(X_17)) = double_divide(B,multiply(inverse(B),X_36)),
inference(subst,[],[refute_0_81:[bind(A,$fot(multiply(inverse(B),X_36)))]]) ).
cnf(refute_0_308,plain,
multiply(multiply(inverse(B),X_36),B) = X_36,
inference(subst,[],[refute_0_284:[bind(X_13,$fot(X_36)),bind(X_22,$fot(B))]]) ).
cnf(refute_0_309,plain,
( multiply(multiply(inverse(B),X_36),B) != X_36
| double_divide(multiply(multiply(multiply(inverse(B),X_36),B),X_17),inverse(X_17)) != double_divide(B,multiply(inverse(B),X_36))
| double_divide(multiply(X_36,X_17),inverse(X_17)) = double_divide(B,multiply(inverse(B),X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(multiply(inverse(B),X_36),B),X_17),inverse(X_17)),double_divide(B,multiply(inverse(B),X_36))) ),[0,0,0],$fot(X_36)]]) ).
cnf(refute_0_310,plain,
( double_divide(multiply(multiply(multiply(inverse(B),X_36),B),X_17),inverse(X_17)) != double_divide(B,multiply(inverse(B),X_36))
| double_divide(multiply(X_36,X_17),inverse(X_17)) = double_divide(B,multiply(inverse(B),X_36)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),X_36),B),X_36) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
double_divide(multiply(X_36,X_17),inverse(X_17)) = double_divide(B,multiply(inverse(B),X_36)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(multiply(inverse(B),X_36),B),X_17),inverse(X_17)),double_divide(B,multiply(inverse(B),X_36))) )],[refute_0_307,refute_0_310]) ).
cnf(refute_0_312,plain,
double_divide(inverse(X_17),multiply(X_36,X_17)) = double_divide(X_17,multiply(X_36,inverse(X_17))),
inference(subst,[],[refute_0_298:[bind(B,$fot(inverse(X_17))),bind(X_2,$fot(X_17)),bind(X_3,$fot(X_36))]]) ).
cnf(refute_0_313,plain,
double_divide(multiply(X_36,X_17),inverse(X_17)) = double_divide(inverse(X_17),multiply(X_36,X_17)),
inference(subst,[],[refute_0_151:[bind(X_10,$fot(multiply(X_36,X_17))),bind(X_4,$fot(X_17))]]) ).
cnf(refute_0_314,plain,
( double_divide(multiply(X_36,X_17),inverse(X_17)) != double_divide(inverse(X_17),multiply(X_36,X_17))
| double_divide(inverse(X_17),multiply(X_36,X_17)) != double_divide(X_17,multiply(X_36,inverse(X_17)))
| double_divide(multiply(X_36,X_17),inverse(X_17)) = double_divide(X_17,multiply(X_36,inverse(X_17))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(multiply(X_36,X_17),inverse(X_17)))),bind(Y,$fot(double_divide(inverse(X_17),multiply(X_36,X_17)))),bind(Z,$fot(double_divide(X_17,multiply(X_36,inverse(X_17)))))]]) ).
cnf(refute_0_315,plain,
( double_divide(inverse(X_17),multiply(X_36,X_17)) != double_divide(X_17,multiply(X_36,inverse(X_17)))
| double_divide(multiply(X_36,X_17),inverse(X_17)) = double_divide(X_17,multiply(X_36,inverse(X_17))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_36,X_17),inverse(X_17)),double_divide(inverse(X_17),multiply(X_36,X_17))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
double_divide(multiply(X_36,X_17),inverse(X_17)) = double_divide(X_17,multiply(X_36,inverse(X_17))),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_36,X_17)),double_divide(X_17,multiply(X_36,inverse(X_17)))) )],[refute_0_312,refute_0_315]) ).
cnf(refute_0_317,plain,
( double_divide(multiply(X_36,X_17),inverse(X_17)) != double_divide(B,multiply(inverse(B),X_36))
| double_divide(multiply(X_36,X_17),inverse(X_17)) != double_divide(X_17,multiply(X_36,inverse(X_17)))
| double_divide(X_17,multiply(X_36,inverse(X_17))) = double_divide(B,multiply(inverse(B),X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_36,X_17),inverse(X_17)),double_divide(B,multiply(inverse(B),X_36))) ),[0],$fot(double_divide(X_17,multiply(X_36,inverse(X_17))))]]) ).
cnf(refute_0_318,plain,
( double_divide(multiply(X_36,X_17),inverse(X_17)) != double_divide(B,multiply(inverse(B),X_36))
| double_divide(X_17,multiply(X_36,inverse(X_17))) = double_divide(B,multiply(inverse(B),X_36)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_36,X_17),inverse(X_17)),double_divide(X_17,multiply(X_36,inverse(X_17)))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
double_divide(X_17,multiply(X_36,inverse(X_17))) = double_divide(B,multiply(inverse(B),X_36)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_36,X_17),inverse(X_17)),double_divide(B,multiply(inverse(B),X_36))) )],[refute_0_311,refute_0_318]) ).
cnf(refute_0_320,plain,
multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(B,inverse(B)))),B) = inverse(X_4),
inference(subst,[],[refute_0_33:[bind(X_3,$fot(inverse(B)))]]) ).
cnf(refute_0_321,plain,
multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(B,inverse(B)))),B) = multiply(inverse(X_4),double_divide(B,inverse(B))),
inference(subst,[],[refute_0_284:[bind(X_13,$fot(multiply(inverse(X_4),double_divide(B,inverse(B))))),bind(X_22,$fot(B))]]) ).
cnf(refute_0_322,plain,
( multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(B,inverse(B)))),B) != multiply(inverse(X_4),double_divide(B,inverse(B)))
| multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(B,inverse(B)))),B) != inverse(X_4)
| multiply(inverse(X_4),double_divide(B,inverse(B))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(B,inverse(B)))),B),inverse(X_4)) ),[0],$fot(multiply(inverse(X_4),double_divide(B,inverse(B))))]]) ).
cnf(refute_0_323,plain,
( multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(B,inverse(B)))),B) != inverse(X_4)
| multiply(inverse(X_4),double_divide(B,inverse(B))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(B,inverse(B)))),B),multiply(inverse(X_4),double_divide(B,inverse(B)))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
multiply(inverse(X_4),double_divide(B,inverse(B))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(B,inverse(B)))),B),inverse(X_4)) )],[refute_0_320,refute_0_323]) ).
cnf(refute_0_325,plain,
double_divide(inverse(double_divide(B,A)),inverse(inverse(X_30))) = multiply(inverse(X_30),double_divide(B,A)),
inference(subst,[],[refute_0_52:[bind(X_24,$fot(double_divide(B,A))),bind(X_25,$fot(X_30))]]) ).
cnf(refute_0_326,plain,
( double_divide(inverse(double_divide(B,A)),inverse(inverse(X_30))) != multiply(inverse(X_30),double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(A,B),inverse(inverse(X_30))) = multiply(inverse(X_30),double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),inverse(inverse(X_30))),multiply(inverse(X_30),double_divide(B,A))) ),[0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_327,plain,
( double_divide(inverse(double_divide(B,A)),inverse(inverse(X_30))) != multiply(inverse(X_30),double_divide(B,A))
| double_divide(multiply(A,B),inverse(inverse(X_30))) = multiply(inverse(X_30),double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_326]) ).
cnf(refute_0_328,plain,
double_divide(multiply(A,B),inverse(inverse(X_30))) = multiply(inverse(X_30),double_divide(B,A)),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),inverse(inverse(X_30))),multiply(inverse(X_30),double_divide(B,A))) )],[refute_0_325,refute_0_327]) ).
cnf(refute_0_329,plain,
double_divide(multiply(A,B),inverse(inverse(X_30))) = double_divide(B,multiply(A,inverse(inverse(X_30)))),
inference(subst,[],[refute_0_159:[bind(X_10,$fot(B)),bind(X_11,$fot(A)),bind(X_4,$fot(inverse(X_30)))]]) ).
cnf(refute_0_330,plain,
( double_divide(multiply(A,B),inverse(inverse(X_30))) != multiply(inverse(X_30),double_divide(B,A))
| double_divide(multiply(A,B),inverse(inverse(X_30))) != double_divide(B,multiply(A,inverse(inverse(X_30))))
| double_divide(B,multiply(A,inverse(inverse(X_30)))) = multiply(inverse(X_30),double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(A,B),inverse(inverse(X_30))),multiply(inverse(X_30),double_divide(B,A))) ),[0],$fot(double_divide(B,multiply(A,inverse(inverse(X_30)))))]]) ).
cnf(refute_0_331,plain,
( double_divide(multiply(A,B),inverse(inverse(X_30))) != multiply(inverse(X_30),double_divide(B,A))
| double_divide(B,multiply(A,inverse(inverse(X_30)))) = multiply(inverse(X_30),double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),inverse(inverse(X_30))),double_divide(B,multiply(A,inverse(inverse(X_30))))) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
double_divide(B,multiply(A,inverse(inverse(X_30)))) = multiply(inverse(X_30),double_divide(B,A)),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),inverse(inverse(X_30))),multiply(inverse(X_30),double_divide(B,A))) )],[refute_0_328,refute_0_331]) ).
cnf(refute_0_333,plain,
inverse(inverse(X_30)) = X_30,
inference(subst,[],[refute_0_266:[bind(C,$fot(X_30))]]) ).
cnf(refute_0_334,plain,
multiply(A,inverse(inverse(X_30))) = multiply(A,inverse(inverse(X_30))),
introduced(tautology,[refl,[$fot(multiply(A,inverse(inverse(X_30))))]]) ).
cnf(refute_0_335,plain,
( multiply(A,inverse(inverse(X_30))) != multiply(A,inverse(inverse(X_30)))
| inverse(inverse(X_30)) != X_30
| multiply(A,inverse(inverse(X_30))) = multiply(A,X_30) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(inverse(X_30))),multiply(A,inverse(inverse(X_30)))) ),[1,1],$fot(X_30)]]) ).
cnf(refute_0_336,plain,
( inverse(inverse(X_30)) != X_30
| multiply(A,inverse(inverse(X_30))) = multiply(A,X_30) ),
inference(resolve,[$cnf( $equal(multiply(A,inverse(inverse(X_30))),multiply(A,inverse(inverse(X_30)))) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
multiply(A,inverse(inverse(X_30))) = multiply(A,X_30),
inference(resolve,[$cnf( $equal(inverse(inverse(X_30)),X_30) )],[refute_0_333,refute_0_336]) ).
cnf(refute_0_338,plain,
double_divide(B,multiply(A,inverse(inverse(X_30)))) = double_divide(B,multiply(A,inverse(inverse(X_30)))),
introduced(tautology,[refl,[$fot(double_divide(B,multiply(A,inverse(inverse(X_30)))))]]) ).
cnf(refute_0_339,plain,
( multiply(A,inverse(inverse(X_30))) != multiply(A,X_30)
| double_divide(B,multiply(A,inverse(inverse(X_30)))) != double_divide(B,multiply(A,inverse(inverse(X_30))))
| double_divide(B,multiply(A,inverse(inverse(X_30)))) = double_divide(B,multiply(A,X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(B,multiply(A,inverse(inverse(X_30)))),double_divide(B,multiply(A,inverse(inverse(X_30))))) ),[1,1],$fot(multiply(A,X_30))]]) ).
cnf(refute_0_340,plain,
( multiply(A,inverse(inverse(X_30))) != multiply(A,X_30)
| double_divide(B,multiply(A,inverse(inverse(X_30)))) = double_divide(B,multiply(A,X_30)) ),
inference(resolve,[$cnf( $equal(double_divide(B,multiply(A,inverse(inverse(X_30)))),double_divide(B,multiply(A,inverse(inverse(X_30))))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
double_divide(B,multiply(A,inverse(inverse(X_30)))) = double_divide(B,multiply(A,X_30)),
inference(resolve,[$cnf( $equal(multiply(A,inverse(inverse(X_30))),multiply(A,X_30)) )],[refute_0_337,refute_0_340]) ).
cnf(refute_0_342,plain,
( double_divide(B,multiply(A,inverse(inverse(X_30)))) != multiply(inverse(X_30),double_divide(B,A))
| double_divide(B,multiply(A,inverse(inverse(X_30)))) != double_divide(B,multiply(A,X_30))
| double_divide(B,multiply(A,X_30)) = multiply(inverse(X_30),double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(B,multiply(A,inverse(inverse(X_30)))),multiply(inverse(X_30),double_divide(B,A))) ),[0],$fot(double_divide(B,multiply(A,X_30)))]]) ).
cnf(refute_0_343,plain,
( double_divide(B,multiply(A,inverse(inverse(X_30)))) != multiply(inverse(X_30),double_divide(B,A))
| double_divide(B,multiply(A,X_30)) = multiply(inverse(X_30),double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(double_divide(B,multiply(A,inverse(inverse(X_30)))),double_divide(B,multiply(A,X_30))) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
double_divide(B,multiply(A,X_30)) = multiply(inverse(X_30),double_divide(B,A)),
inference(resolve,[$cnf( $equal(double_divide(B,multiply(A,inverse(inverse(X_30)))),multiply(inverse(X_30),double_divide(B,A))) )],[refute_0_332,refute_0_343]) ).
cnf(refute_0_345,plain,
( double_divide(B,multiply(A,X_30)) != multiply(inverse(X_30),double_divide(B,A))
| multiply(inverse(X_30),double_divide(B,A)) = double_divide(B,multiply(A,X_30)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(B,multiply(A,X_30)))),bind(Y,$fot(multiply(inverse(X_30),double_divide(B,A))))]]) ).
cnf(refute_0_346,plain,
multiply(inverse(X_30),double_divide(B,A)) = double_divide(B,multiply(A,X_30)),
inference(resolve,[$cnf( $equal(double_divide(B,multiply(A,X_30)),multiply(inverse(X_30),double_divide(B,A))) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
multiply(inverse(X_4),double_divide(B,inverse(B))) = double_divide(B,multiply(inverse(B),X_4)),
inference(subst,[],[refute_0_346:[bind(A,$fot(inverse(B))),bind(X_30,$fot(X_4))]]) ).
cnf(refute_0_348,plain,
( multiply(inverse(X_4),double_divide(B,inverse(B))) != double_divide(B,multiply(inverse(B),X_4))
| multiply(inverse(X_4),double_divide(B,inverse(B))) != inverse(X_4)
| double_divide(B,multiply(inverse(B),X_4)) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_4),double_divide(B,inverse(B))),inverse(X_4)) ),[0],$fot(double_divide(B,multiply(inverse(B),X_4)))]]) ).
cnf(refute_0_349,plain,
( multiply(inverse(X_4),double_divide(B,inverse(B))) != inverse(X_4)
| double_divide(B,multiply(inverse(B),X_4)) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),double_divide(B,inverse(B))),double_divide(B,multiply(inverse(B),X_4))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
double_divide(B,multiply(inverse(B),X_4)) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),double_divide(B,inverse(B))),inverse(X_4)) )],[refute_0_324,refute_0_349]) ).
cnf(refute_0_351,plain,
double_divide(B,multiply(inverse(B),X_36)) = inverse(X_36),
inference(subst,[],[refute_0_350:[bind(X_4,$fot(X_36))]]) ).
cnf(refute_0_352,plain,
( double_divide(B,multiply(inverse(B),X_36)) != inverse(X_36)
| double_divide(X_17,multiply(X_36,inverse(X_17))) != double_divide(B,multiply(inverse(B),X_36))
| double_divide(X_17,multiply(X_36,inverse(X_17))) = inverse(X_36) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_17,multiply(X_36,inverse(X_17))),double_divide(B,multiply(inverse(B),X_36))) ),[1],$fot(inverse(X_36))]]) ).
cnf(refute_0_353,plain,
( double_divide(X_17,multiply(X_36,inverse(X_17))) != double_divide(B,multiply(inverse(B),X_36))
| double_divide(X_17,multiply(X_36,inverse(X_17))) = inverse(X_36) ),
inference(resolve,[$cnf( $equal(double_divide(B,multiply(inverse(B),X_36)),inverse(X_36)) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
double_divide(X_17,multiply(X_36,inverse(X_17))) = inverse(X_36),
inference(resolve,[$cnf( $equal(double_divide(X_17,multiply(X_36,inverse(X_17))),double_divide(B,multiply(inverse(B),X_36))) )],[refute_0_319,refute_0_353]) ).
cnf(refute_0_355,plain,
double_divide(X_17,multiply(multiply(A,B),inverse(X_17))) = inverse(multiply(A,B)),
inference(subst,[],[refute_0_354:[bind(X_36,$fot(multiply(A,B)))]]) ).
cnf(refute_0_356,plain,
( double_divide(X_17,multiply(multiply(A,B),inverse(X_17))) != double_divide(B,A)
| double_divide(X_17,multiply(multiply(A,B),inverse(X_17))) != inverse(multiply(A,B))
| inverse(multiply(A,B)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_17,multiply(multiply(A,B),inverse(X_17))),double_divide(B,A)) ),[0],$fot(inverse(multiply(A,B)))]]) ).
cnf(refute_0_357,plain,
( double_divide(X_17,multiply(multiply(A,B),inverse(X_17))) != double_divide(B,A)
| inverse(multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(X_17,multiply(multiply(A,B),inverse(X_17))),inverse(multiply(A,B))) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
inverse(multiply(A,B)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(X_17,multiply(multiply(A,B),inverse(X_17))),double_divide(B,A)) )],[refute_0_306,refute_0_357]) ).
cnf(refute_0_359,plain,
inverse(multiply(inverse(X_25),X_24)) = double_divide(X_24,inverse(X_25)),
inference(subst,[],[refute_0_358:[bind(A,$fot(inverse(X_25))),bind(B,$fot(X_24))]]) ).
cnf(refute_0_360,plain,
( multiply(X_25,inverse(X_24)) != inverse(multiply(inverse(X_25),X_24))
| inverse(multiply(inverse(X_25),X_24)) != double_divide(X_24,inverse(X_25))
| multiply(X_25,inverse(X_24)) = double_divide(X_24,inverse(X_25)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_25,inverse(X_24)),double_divide(X_24,inverse(X_25))) ),[0],$fot(inverse(multiply(inverse(X_25),X_24)))]]) ).
cnf(refute_0_361,plain,
( multiply(X_25,inverse(X_24)) != inverse(multiply(inverse(X_25),X_24))
| multiply(X_25,inverse(X_24)) = double_divide(X_24,inverse(X_25)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_25),X_24)),double_divide(X_24,inverse(X_25))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
multiply(X_25,inverse(X_24)) = double_divide(X_24,inverse(X_25)),
inference(resolve,[$cnf( $equal(multiply(X_25,inverse(X_24)),inverse(multiply(inverse(X_25),X_24))) )],[refute_0_274,refute_0_361]) ).
cnf(refute_0_363,plain,
( multiply(X_25,inverse(X_24)) != double_divide(X_24,inverse(X_25))
| double_divide(X_24,inverse(X_25)) = multiply(X_25,inverse(X_24)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_25,inverse(X_24)))),bind(Y,$fot(double_divide(X_24,inverse(X_25))))]]) ).
cnf(refute_0_364,plain,
double_divide(X_24,inverse(X_25)) = multiply(X_25,inverse(X_24)),
inference(resolve,[$cnf( $equal(multiply(X_25,inverse(X_24)),double_divide(X_24,inverse(X_25))) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
double_divide(X_31,inverse(X_16)) = multiply(X_16,inverse(X_31)),
inference(subst,[],[refute_0_364:[bind(X_24,$fot(X_31)),bind(X_25,$fot(X_16))]]) ).
cnf(refute_0_366,plain,
( double_divide(X_31,inverse(X_16)) != multiply(X_16,inverse(X_31))
| double_divide(X_31,inverse(X_16)) != double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31))
| multiply(X_16,inverse(X_31)) = double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_31,inverse(X_16)),double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31))) ),[0],$fot(multiply(X_16,inverse(X_31)))]]) ).
cnf(refute_0_367,plain,
( double_divide(X_31,inverse(X_16)) != double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31))
| multiply(X_16,inverse(X_31)) = double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) ),
inference(resolve,[$cnf( $equal(double_divide(X_31,inverse(X_16)),multiply(X_16,inverse(X_31))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
inverse(multiply(X_11,X_10)) = double_divide(X_10,X_11),
inference(subst,[],[refute_0_358:[bind(A,$fot(X_11)),bind(B,$fot(X_10))]]) ).
cnf(refute_0_369,plain,
multiply(X_4,inverse(multiply(X_11,X_10))) = multiply(X_4,inverse(multiply(X_11,X_10))),
introduced(tautology,[refl,[$fot(multiply(X_4,inverse(multiply(X_11,X_10))))]]) ).
cnf(refute_0_370,plain,
( multiply(X_4,inverse(multiply(X_11,X_10))) != multiply(X_4,inverse(multiply(X_11,X_10)))
| inverse(multiply(X_11,X_10)) != double_divide(X_10,X_11)
| multiply(X_4,inverse(multiply(X_11,X_10))) = multiply(X_4,double_divide(X_10,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_4,inverse(multiply(X_11,X_10))),multiply(X_4,inverse(multiply(X_11,X_10)))) ),[1,1],$fot(double_divide(X_10,X_11))]]) ).
cnf(refute_0_371,plain,
( inverse(multiply(X_11,X_10)) != double_divide(X_10,X_11)
| multiply(X_4,inverse(multiply(X_11,X_10))) = multiply(X_4,double_divide(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(X_4,inverse(multiply(X_11,X_10))),multiply(X_4,inverse(multiply(X_11,X_10)))) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
multiply(X_4,inverse(multiply(X_11,X_10))) = multiply(X_4,double_divide(X_10,X_11)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_11,X_10)),double_divide(X_10,X_11)) )],[refute_0_368,refute_0_371]) ).
cnf(refute_0_373,plain,
double_divide(multiply(X_11,X_10),inverse(X_4)) = multiply(X_4,inverse(multiply(X_11,X_10))),
inference(subst,[],[refute_0_364:[bind(X_24,$fot(multiply(X_11,X_10))),bind(X_25,$fot(X_4))]]) ).
cnf(refute_0_374,plain,
( multiply(X_4,inverse(multiply(X_11,X_10))) != multiply(X_4,double_divide(X_10,X_11))
| double_divide(multiply(X_11,X_10),inverse(X_4)) != multiply(X_4,inverse(multiply(X_11,X_10)))
| double_divide(multiply(X_11,X_10),inverse(X_4)) = multiply(X_4,double_divide(X_10,X_11)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(multiply(X_11,X_10),inverse(X_4)))),bind(Y,$fot(multiply(X_4,inverse(multiply(X_11,X_10))))),bind(Z,$fot(multiply(X_4,double_divide(X_10,X_11))))]]) ).
cnf(refute_0_375,plain,
( multiply(X_4,inverse(multiply(X_11,X_10))) != multiply(X_4,double_divide(X_10,X_11))
| double_divide(multiply(X_11,X_10),inverse(X_4)) = multiply(X_4,double_divide(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_11,X_10),inverse(X_4)),multiply(X_4,inverse(multiply(X_11,X_10)))) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
double_divide(multiply(X_11,X_10),inverse(X_4)) = multiply(X_4,double_divide(X_10,X_11)),
inference(resolve,[$cnf( $equal(multiply(X_4,inverse(multiply(X_11,X_10))),multiply(X_4,double_divide(X_10,X_11))) )],[refute_0_372,refute_0_375]) ).
cnf(refute_0_377,plain,
( double_divide(X_10,multiply(X_11,inverse(X_4))) != double_divide(multiply(X_11,X_10),inverse(X_4))
| double_divide(multiply(X_11,X_10),inverse(X_4)) != multiply(X_4,double_divide(X_10,X_11))
| double_divide(X_10,multiply(X_11,inverse(X_4))) = multiply(X_4,double_divide(X_10,X_11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_10,multiply(X_11,inverse(X_4))),multiply(X_4,double_divide(X_10,X_11))) ),[0],$fot(double_divide(multiply(X_11,X_10),inverse(X_4)))]]) ).
cnf(refute_0_378,plain,
( double_divide(X_10,multiply(X_11,inverse(X_4))) != double_divide(multiply(X_11,X_10),inverse(X_4))
| double_divide(X_10,multiply(X_11,inverse(X_4))) = multiply(X_4,double_divide(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_11,X_10),inverse(X_4)),multiply(X_4,double_divide(X_10,X_11))) )],[refute_0_376,refute_0_377]) ).
cnf(refute_0_379,plain,
double_divide(X_10,multiply(X_11,inverse(X_4))) = multiply(X_4,double_divide(X_10,X_11)),
inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(X_11,inverse(X_4))),double_divide(multiply(X_11,X_10),inverse(X_4))) )],[refute_0_157,refute_0_378]) ).
cnf(refute_0_380,plain,
double_divide(X_31,multiply(X_33,inverse(X_16))) = multiply(X_16,double_divide(X_31,X_33)),
inference(subst,[],[refute_0_379:[bind(X_10,$fot(X_31)),bind(X_11,$fot(X_33)),bind(X_4,$fot(X_16))]]) ).
cnf(refute_0_381,plain,
double_divide(X_16,inverse(X_33)) = multiply(X_33,inverse(X_16)),
inference(subst,[],[refute_0_364:[bind(X_24,$fot(X_16)),bind(X_25,$fot(X_33))]]) ).
cnf(refute_0_382,plain,
double_divide(X_31,double_divide(X_16,inverse(X_33))) = double_divide(X_31,double_divide(X_16,inverse(X_33))),
introduced(tautology,[refl,[$fot(double_divide(X_31,double_divide(X_16,inverse(X_33))))]]) ).
cnf(refute_0_383,plain,
( double_divide(X_16,inverse(X_33)) != multiply(X_33,inverse(X_16))
| double_divide(X_31,double_divide(X_16,inverse(X_33))) != double_divide(X_31,double_divide(X_16,inverse(X_33)))
| double_divide(X_31,double_divide(X_16,inverse(X_33))) = double_divide(X_31,multiply(X_33,inverse(X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_31,double_divide(X_16,inverse(X_33))),double_divide(X_31,double_divide(X_16,inverse(X_33)))) ),[1,1],$fot(multiply(X_33,inverse(X_16)))]]) ).
cnf(refute_0_384,plain,
( double_divide(X_16,inverse(X_33)) != multiply(X_33,inverse(X_16))
| double_divide(X_31,double_divide(X_16,inverse(X_33))) = double_divide(X_31,multiply(X_33,inverse(X_16))) ),
inference(resolve,[$cnf( $equal(double_divide(X_31,double_divide(X_16,inverse(X_33))),double_divide(X_31,double_divide(X_16,inverse(X_33)))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
double_divide(X_31,double_divide(X_16,inverse(X_33))) = double_divide(X_31,multiply(X_33,inverse(X_16))),
inference(resolve,[$cnf( $equal(double_divide(X_16,inverse(X_33)),multiply(X_33,inverse(X_16))) )],[refute_0_381,refute_0_384]) ).
cnf(refute_0_386,plain,
( double_divide(X_31,multiply(X_33,inverse(X_16))) != multiply(X_16,double_divide(X_31,X_33))
| double_divide(X_31,double_divide(X_16,inverse(X_33))) != double_divide(X_31,multiply(X_33,inverse(X_16)))
| double_divide(X_31,double_divide(X_16,inverse(X_33))) = multiply(X_16,double_divide(X_31,X_33)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(X_31,double_divide(X_16,inverse(X_33))))),bind(Y,$fot(double_divide(X_31,multiply(X_33,inverse(X_16))))),bind(Z,$fot(multiply(X_16,double_divide(X_31,X_33))))]]) ).
cnf(refute_0_387,plain,
( double_divide(X_31,multiply(X_33,inverse(X_16))) != multiply(X_16,double_divide(X_31,X_33))
| double_divide(X_31,double_divide(X_16,inverse(X_33))) = multiply(X_16,double_divide(X_31,X_33)) ),
inference(resolve,[$cnf( $equal(double_divide(X_31,double_divide(X_16,inverse(X_33))),double_divide(X_31,multiply(X_33,inverse(X_16)))) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
double_divide(X_31,double_divide(X_16,inverse(X_33))) = multiply(X_16,double_divide(X_31,X_33)),
inference(resolve,[$cnf( $equal(double_divide(X_31,multiply(X_33,inverse(X_16))),multiply(X_16,double_divide(X_31,X_33))) )],[refute_0_380,refute_0_387]) ).
cnf(refute_0_389,plain,
multiply(inverse(C),inverse(X_62)) = double_divide(X_62,inverse(inverse(C))),
inference(subst,[],[refute_0_362:[bind(X_24,$fot(X_62)),bind(X_25,$fot(inverse(C)))]]) ).
cnf(refute_0_390,plain,
( multiply(inverse(C),inverse(X_62)) != double_divide(X_62,inverse(inverse(C)))
| inverse(inverse(C)) != C
| multiply(inverse(C),inverse(X_62)) = double_divide(X_62,C) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(C),inverse(X_62)),double_divide(X_62,inverse(inverse(C)))) ),[1,1],$fot(C)]]) ).
cnf(refute_0_391,plain,
( multiply(inverse(C),inverse(X_62)) != double_divide(X_62,inverse(inverse(C)))
| multiply(inverse(C),inverse(X_62)) = double_divide(X_62,C) ),
inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_266,refute_0_390]) ).
cnf(refute_0_392,plain,
multiply(inverse(C),inverse(X_62)) = double_divide(X_62,C),
inference(resolve,[$cnf( $equal(multiply(inverse(C),inverse(X_62)),double_divide(X_62,inverse(inverse(C)))) )],[refute_0_389,refute_0_391]) ).
cnf(refute_0_393,plain,
multiply(inverse(double_divide(B,A)),inverse(X_65)) = double_divide(X_65,double_divide(B,A)),
inference(subst,[],[refute_0_392:[bind(C,$fot(double_divide(B,A))),bind(X_62,$fot(X_65))]]) ).
cnf(refute_0_394,plain,
( multiply(inverse(double_divide(B,A)),inverse(X_65)) != double_divide(X_65,double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(multiply(A,B),inverse(X_65)) = double_divide(X_65,double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(B,A)),inverse(X_65)),double_divide(X_65,double_divide(B,A))) ),[0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_395,plain,
( multiply(inverse(double_divide(B,A)),inverse(X_65)) != double_divide(X_65,double_divide(B,A))
| multiply(multiply(A,B),inverse(X_65)) = double_divide(X_65,double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_394]) ).
cnf(refute_0_396,plain,
multiply(multiply(A,B),inverse(X_65)) = double_divide(X_65,double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),inverse(X_65)),double_divide(X_65,double_divide(B,A))) )],[refute_0_393,refute_0_395]) ).
cnf(refute_0_397,plain,
multiply(multiply(inverse(X_33),X_16),inverse(X_31)) = double_divide(X_31,double_divide(X_16,inverse(X_33))),
inference(subst,[],[refute_0_396:[bind(A,$fot(inverse(X_33))),bind(B,$fot(X_16)),bind(X_65,$fot(X_31))]]) ).
cnf(refute_0_398,plain,
double_divide(X_31,inverse(multiply(inverse(X_33),X_16))) = multiply(multiply(inverse(X_33),X_16),inverse(X_31)),
inference(subst,[],[refute_0_364:[bind(X_24,$fot(X_31)),bind(X_25,$fot(multiply(inverse(X_33),X_16)))]]) ).
cnf(refute_0_399,plain,
( multiply(multiply(inverse(X_33),X_16),inverse(X_31)) != double_divide(X_31,double_divide(X_16,inverse(X_33)))
| double_divide(X_31,inverse(multiply(inverse(X_33),X_16))) != multiply(multiply(inverse(X_33),X_16),inverse(X_31))
| double_divide(X_31,inverse(multiply(inverse(X_33),X_16))) = double_divide(X_31,double_divide(X_16,inverse(X_33))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(X_31,inverse(multiply(inverse(X_33),X_16))))),bind(Y,$fot(multiply(multiply(inverse(X_33),X_16),inverse(X_31)))),bind(Z,$fot(double_divide(X_31,double_divide(X_16,inverse(X_33)))))]]) ).
cnf(refute_0_400,plain,
( multiply(multiply(inverse(X_33),X_16),inverse(X_31)) != double_divide(X_31,double_divide(X_16,inverse(X_33)))
| double_divide(X_31,inverse(multiply(inverse(X_33),X_16))) = double_divide(X_31,double_divide(X_16,inverse(X_33))) ),
inference(resolve,[$cnf( $equal(double_divide(X_31,inverse(multiply(inverse(X_33),X_16))),multiply(multiply(inverse(X_33),X_16),inverse(X_31))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
double_divide(X_31,inverse(multiply(inverse(X_33),X_16))) = double_divide(X_31,double_divide(X_16,inverse(X_33))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_33),X_16),inverse(X_31)),double_divide(X_31,double_divide(X_16,inverse(X_33)))) )],[refute_0_397,refute_0_400]) ).
cnf(refute_0_402,plain,
inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) = double_divide(X_31,inverse(multiply(inverse(X_33),X_16))),
inference(subst,[],[refute_0_358:[bind(A,$fot(inverse(multiply(inverse(X_33),X_16)))),bind(B,$fot(X_31))]]) ).
cnf(refute_0_403,plain,
( double_divide(X_31,inverse(multiply(inverse(X_33),X_16))) != double_divide(X_31,double_divide(X_16,inverse(X_33)))
| inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) != double_divide(X_31,inverse(multiply(inverse(X_33),X_16)))
| inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) = double_divide(X_31,double_divide(X_16,inverse(X_33))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)))),bind(Y,$fot(double_divide(X_31,inverse(multiply(inverse(X_33),X_16))))),bind(Z,$fot(double_divide(X_31,double_divide(X_16,inverse(X_33)))))]]) ).
cnf(refute_0_404,plain,
( double_divide(X_31,inverse(multiply(inverse(X_33),X_16))) != double_divide(X_31,double_divide(X_16,inverse(X_33)))
| inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) = double_divide(X_31,double_divide(X_16,inverse(X_33))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)),double_divide(X_31,inverse(multiply(inverse(X_33),X_16)))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) = double_divide(X_31,double_divide(X_16,inverse(X_33))),
inference(resolve,[$cnf( $equal(double_divide(X_31,inverse(multiply(inverse(X_33),X_16))),double_divide(X_31,double_divide(X_16,inverse(X_33)))) )],[refute_0_401,refute_0_404]) ).
cnf(refute_0_406,plain,
( double_divide(X_31,double_divide(X_16,inverse(X_33))) != multiply(X_16,double_divide(X_31,X_33))
| inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) != double_divide(X_31,double_divide(X_16,inverse(X_33)))
| inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) = multiply(X_16,double_divide(X_31,X_33)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)))),bind(Y,$fot(double_divide(X_31,double_divide(X_16,inverse(X_33))))),bind(Z,$fot(multiply(X_16,double_divide(X_31,X_33))))]]) ).
cnf(refute_0_407,plain,
( double_divide(X_31,double_divide(X_16,inverse(X_33))) != multiply(X_16,double_divide(X_31,X_33))
| inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) = multiply(X_16,double_divide(X_31,X_33)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)),double_divide(X_31,double_divide(X_16,inverse(X_33)))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) = multiply(X_16,double_divide(X_31,X_33)),
inference(resolve,[$cnf( $equal(double_divide(X_31,double_divide(X_16,inverse(X_33))),multiply(X_16,double_divide(X_31,X_33))) )],[refute_0_388,refute_0_407]) ).
cnf(refute_0_409,plain,
multiply(X_33,inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31))) = multiply(X_33,inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31))),
introduced(tautology,[refl,[$fot(multiply(X_33,inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31))))]]) ).
cnf(refute_0_410,plain,
( multiply(X_33,inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31))) != multiply(X_33,inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)))
| inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) != multiply(X_16,double_divide(X_31,X_33))
| multiply(X_33,inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31))) = multiply(X_33,multiply(X_16,double_divide(X_31,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_33,inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31))),multiply(X_33,inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)))) ),[1,1],$fot(multiply(X_16,double_divide(X_31,X_33)))]]) ).
cnf(refute_0_411,plain,
( inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) != multiply(X_16,double_divide(X_31,X_33))
| multiply(X_33,inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31))) = multiply(X_33,multiply(X_16,double_divide(X_31,X_33))) ),
inference(resolve,[$cnf( $equal(multiply(X_33,inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31))),multiply(X_33,inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)))) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
multiply(X_33,inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31))) = multiply(X_33,multiply(X_16,double_divide(X_31,X_33))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)),multiply(X_16,double_divide(X_31,X_33))) )],[refute_0_408,refute_0_411]) ).
cnf(refute_0_413,plain,
double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))) = double_divide(inverse(X_4),multiply(multiply(inverse(X_10),X_36),X_10)),
inference(subst,[],[refute_0_95:[bind(X_11,$fot(multiply(inverse(X_10),X_36)))]]) ).
cnf(refute_0_414,plain,
multiply(multiply(inverse(X_10),X_36),X_10) = X_36,
inference(subst,[],[refute_0_284:[bind(X_13,$fot(X_36)),bind(X_22,$fot(X_10))]]) ).
cnf(refute_0_415,plain,
( multiply(multiply(inverse(X_10),X_36),X_10) != X_36
| double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))) != double_divide(inverse(X_4),multiply(multiply(inverse(X_10),X_36),X_10))
| double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))) = double_divide(inverse(X_4),X_36) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))),double_divide(inverse(X_4),multiply(multiply(inverse(X_10),X_36),X_10))) ),[1,1],$fot(X_36)]]) ).
cnf(refute_0_416,plain,
( double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))) != double_divide(inverse(X_4),multiply(multiply(inverse(X_10),X_36),X_10))
| double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))) = double_divide(inverse(X_4),X_36) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_10),X_36),X_10),X_36) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))) = double_divide(inverse(X_4),X_36),
inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))),double_divide(inverse(X_4),multiply(multiply(inverse(X_10),X_36),X_10))) )],[refute_0_413,refute_0_416]) ).
cnf(refute_0_418,plain,
double_divide(X_10,multiply(inverse(X_10),X_36)) = inverse(X_36),
inference(subst,[],[refute_0_350:[bind(B,$fot(X_10)),bind(X_4,$fot(X_36))]]) ).
cnf(refute_0_419,plain,
multiply(X_4,double_divide(X_10,multiply(inverse(X_10),X_36))) = multiply(X_4,double_divide(X_10,multiply(inverse(X_10),X_36))),
introduced(tautology,[refl,[$fot(multiply(X_4,double_divide(X_10,multiply(inverse(X_10),X_36))))]]) ).
cnf(refute_0_420,plain,
( multiply(X_4,double_divide(X_10,multiply(inverse(X_10),X_36))) != multiply(X_4,double_divide(X_10,multiply(inverse(X_10),X_36)))
| double_divide(X_10,multiply(inverse(X_10),X_36)) != inverse(X_36)
| multiply(X_4,double_divide(X_10,multiply(inverse(X_10),X_36))) = multiply(X_4,inverse(X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_4,double_divide(X_10,multiply(inverse(X_10),X_36))),multiply(X_4,double_divide(X_10,multiply(inverse(X_10),X_36)))) ),[1,1],$fot(inverse(X_36))]]) ).
cnf(refute_0_421,plain,
( double_divide(X_10,multiply(inverse(X_10),X_36)) != inverse(X_36)
| multiply(X_4,double_divide(X_10,multiply(inverse(X_10),X_36))) = multiply(X_4,inverse(X_36)) ),
inference(resolve,[$cnf( $equal(multiply(X_4,double_divide(X_10,multiply(inverse(X_10),X_36))),multiply(X_4,double_divide(X_10,multiply(inverse(X_10),X_36)))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
multiply(X_4,double_divide(X_10,multiply(inverse(X_10),X_36))) = multiply(X_4,inverse(X_36)),
inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(inverse(X_10),X_36)),inverse(X_36)) )],[refute_0_418,refute_0_421]) ).
cnf(refute_0_423,plain,
double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))) = multiply(X_4,double_divide(X_10,multiply(inverse(X_10),X_36))),
inference(subst,[],[refute_0_379:[bind(X_11,$fot(multiply(inverse(X_10),X_36)))]]) ).
cnf(refute_0_424,plain,
( multiply(X_4,double_divide(X_10,multiply(inverse(X_10),X_36))) != multiply(X_4,inverse(X_36))
| double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))) != multiply(X_4,double_divide(X_10,multiply(inverse(X_10),X_36)))
| double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))) = multiply(X_4,inverse(X_36)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))))),bind(Y,$fot(multiply(X_4,double_divide(X_10,multiply(inverse(X_10),X_36))))),bind(Z,$fot(multiply(X_4,inverse(X_36))))]]) ).
cnf(refute_0_425,plain,
( multiply(X_4,double_divide(X_10,multiply(inverse(X_10),X_36))) != multiply(X_4,inverse(X_36))
| double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))) = multiply(X_4,inverse(X_36)) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))),multiply(X_4,double_divide(X_10,multiply(inverse(X_10),X_36)))) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))) = multiply(X_4,inverse(X_36)),
inference(resolve,[$cnf( $equal(multiply(X_4,double_divide(X_10,multiply(inverse(X_10),X_36))),multiply(X_4,inverse(X_36))) )],[refute_0_422,refute_0_425]) ).
cnf(refute_0_427,plain,
( double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))) != multiply(X_4,inverse(X_36))
| double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))) != double_divide(inverse(X_4),X_36)
| multiply(X_4,inverse(X_36)) = double_divide(inverse(X_4),X_36) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))),double_divide(inverse(X_4),X_36)) ),[0],$fot(multiply(X_4,inverse(X_36)))]]) ).
cnf(refute_0_428,plain,
( double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))) != double_divide(inverse(X_4),X_36)
| multiply(X_4,inverse(X_36)) = double_divide(inverse(X_4),X_36) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))),multiply(X_4,inverse(X_36))) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
multiply(X_4,inverse(X_36)) = double_divide(inverse(X_4),X_36),
inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(multiply(inverse(X_10),X_36),inverse(X_4))),double_divide(inverse(X_4),X_36)) )],[refute_0_417,refute_0_428]) ).
cnf(refute_0_430,plain,
( multiply(X_4,inverse(X_36)) != double_divide(inverse(X_4),X_36)
| double_divide(inverse(X_4),X_36) = multiply(X_4,inverse(X_36)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_4,inverse(X_36)))),bind(Y,$fot(double_divide(inverse(X_4),X_36)))]]) ).
cnf(refute_0_431,plain,
double_divide(inverse(X_4),X_36) = multiply(X_4,inverse(X_36)),
inference(resolve,[$cnf( $equal(multiply(X_4,inverse(X_36)),double_divide(inverse(X_4),X_36)) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) = multiply(X_33,inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31))),
inference(subst,[],[refute_0_431:[bind(X_36,$fot(multiply(inverse(multiply(inverse(X_33),X_16)),X_31))),bind(X_4,$fot(X_33))]]) ).
cnf(refute_0_433,plain,
( multiply(X_33,inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31))) != multiply(X_33,multiply(X_16,double_divide(X_31,X_33)))
| double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) != multiply(X_33,inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)))
| double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) = multiply(X_33,multiply(X_16,double_divide(X_31,X_33))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31)))),bind(Y,$fot(multiply(X_33,inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31))))),bind(Z,$fot(multiply(X_33,multiply(X_16,double_divide(X_31,X_33)))))]]) ).
cnf(refute_0_434,plain,
( multiply(X_33,inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31))) != multiply(X_33,multiply(X_16,double_divide(X_31,X_33)))
| double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) = multiply(X_33,multiply(X_16,double_divide(X_31,X_33))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31)),multiply(X_33,inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31)))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) = multiply(X_33,multiply(X_16,double_divide(X_31,X_33))),
inference(resolve,[$cnf( $equal(multiply(X_33,inverse(multiply(inverse(multiply(inverse(X_33),X_16)),X_31))),multiply(X_33,multiply(X_16,double_divide(X_31,X_33)))) )],[refute_0_412,refute_0_434]) ).
cnf(refute_0_436,plain,
( multiply(X_16,inverse(X_31)) != double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31))
| double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31)) != multiply(X_33,multiply(X_16,double_divide(X_31,X_33)))
| multiply(X_16,inverse(X_31)) = multiply(X_33,multiply(X_16,double_divide(X_31,X_33))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_16,inverse(X_31)),multiply(X_33,multiply(X_16,double_divide(X_31,X_33)))) ),[0],$fot(double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31)))]]) ).
cnf(refute_0_437,plain,
( multiply(X_16,inverse(X_31)) != double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31))
| multiply(X_16,inverse(X_31)) = multiply(X_33,multiply(X_16,double_divide(X_31,X_33))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31)),multiply(X_33,multiply(X_16,double_divide(X_31,X_33)))) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
( double_divide(X_31,inverse(X_16)) != double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31))
| multiply(X_16,inverse(X_31)) = multiply(X_33,multiply(X_16,double_divide(X_31,X_33))) ),
inference(resolve,[$cnf( $equal(multiply(X_16,inverse(X_31)),double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31))) )],[refute_0_367,refute_0_437]) ).
cnf(refute_0_439,plain,
multiply(X_16,inverse(X_31)) = multiply(X_33,multiply(X_16,double_divide(X_31,X_33))),
inference(resolve,[$cnf( $equal(double_divide(X_31,inverse(X_16)),double_divide(inverse(X_33),multiply(inverse(multiply(inverse(X_33),X_16)),X_31))) )],[refute_0_189,refute_0_438]) ).
cnf(refute_0_440,plain,
multiply(X_68,inverse(double_divide(X_70,X_55))) = multiply(X_70,multiply(X_68,double_divide(double_divide(X_70,X_55),X_70))),
inference(subst,[],[refute_0_439:[bind(X_16,$fot(X_68)),bind(X_31,$fot(double_divide(X_70,X_55))),bind(X_33,$fot(X_70))]]) ).
cnf(refute_0_441,plain,
multiply(inverse(X_56),multiply(multiply(multiply(X_15,inverse(X_15)),X_55),X_56)) = multiply(multiply(X_15,inverse(X_15)),X_55),
inference(subst,[],[refute_0_197:[bind(A,$fot(multiply(X_15,inverse(X_15)))),bind(B,$fot(X_55)),bind(X_23,$fot(X_56))]]) ).
cnf(refute_0_442,plain,
multiply(multiply(X_15,inverse(X_15)),X_55) = X_55,
inference(subst,[],[refute_0_215:[bind(X_13,$fot(X_55))]]) ).
cnf(refute_0_443,plain,
( multiply(multiply(X_15,inverse(X_15)),X_55) != X_55
| multiply(inverse(X_56),multiply(multiply(multiply(X_15,inverse(X_15)),X_55),X_56)) != multiply(multiply(X_15,inverse(X_15)),X_55)
| multiply(inverse(X_56),multiply(X_55,X_56)) = multiply(multiply(X_15,inverse(X_15)),X_55) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_56),multiply(multiply(multiply(X_15,inverse(X_15)),X_55),X_56)),multiply(multiply(X_15,inverse(X_15)),X_55)) ),[0,1,0],$fot(X_55)]]) ).
cnf(refute_0_444,plain,
( multiply(inverse(X_56),multiply(multiply(multiply(X_15,inverse(X_15)),X_55),X_56)) != multiply(multiply(X_15,inverse(X_15)),X_55)
| multiply(inverse(X_56),multiply(X_55,X_56)) = multiply(multiply(X_15,inverse(X_15)),X_55) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,inverse(X_15)),X_55),X_55) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
multiply(inverse(X_56),multiply(X_55,X_56)) = multiply(multiply(X_15,inverse(X_15)),X_55),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),multiply(multiply(multiply(X_15,inverse(X_15)),X_55),X_56)),multiply(multiply(X_15,inverse(X_15)),X_55)) )],[refute_0_441,refute_0_444]) ).
cnf(refute_0_446,plain,
( multiply(multiply(X_15,inverse(X_15)),X_55) != X_55
| multiply(inverse(X_56),multiply(X_55,X_56)) != multiply(multiply(X_15,inverse(X_15)),X_55)
| multiply(inverse(X_56),multiply(X_55,X_56)) = X_55 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_56),multiply(X_55,X_56)),multiply(multiply(X_15,inverse(X_15)),X_55)) ),[1],$fot(X_55)]]) ).
cnf(refute_0_447,plain,
( multiply(inverse(X_56),multiply(X_55,X_56)) != multiply(multiply(X_15,inverse(X_15)),X_55)
| multiply(inverse(X_56),multiply(X_55,X_56)) = X_55 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,inverse(X_15)),X_55),X_55) )],[refute_0_442,refute_0_446]) ).
cnf(refute_0_448,plain,
multiply(inverse(X_56),multiply(X_55,X_56)) = X_55,
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),multiply(X_55,X_56)),multiply(multiply(X_15,inverse(X_15)),X_55)) )],[refute_0_445,refute_0_447]) ).
cnf(refute_0_449,plain,
multiply(inverse(X_64),inverse(double_divide(B,A))) = double_divide(double_divide(B,A),X_64),
inference(subst,[],[refute_0_392:[bind(C,$fot(X_64)),bind(X_62,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_450,plain,
( multiply(inverse(X_64),inverse(double_divide(B,A))) != double_divide(double_divide(B,A),X_64)
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(X_64),multiply(A,B)) = double_divide(double_divide(B,A),X_64) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_64),inverse(double_divide(B,A))),double_divide(double_divide(B,A),X_64)) ),[0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_451,plain,
( multiply(inverse(X_64),inverse(double_divide(B,A))) != double_divide(double_divide(B,A),X_64)
| multiply(inverse(X_64),multiply(A,B)) = double_divide(double_divide(B,A),X_64) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_450]) ).
cnf(refute_0_452,plain,
multiply(inverse(X_64),multiply(A,B)) = double_divide(double_divide(B,A),X_64),
inference(resolve,[$cnf( $equal(multiply(inverse(X_64),inverse(double_divide(B,A))),double_divide(double_divide(B,A),X_64)) )],[refute_0_449,refute_0_451]) ).
cnf(refute_0_453,plain,
multiply(inverse(X_56),multiply(X_55,X_56)) = double_divide(double_divide(X_56,X_55),X_56),
inference(subst,[],[refute_0_452:[bind(A,$fot(X_55)),bind(B,$fot(X_56)),bind(X_64,$fot(X_56))]]) ).
cnf(refute_0_454,plain,
( multiply(inverse(X_56),multiply(X_55,X_56)) != X_55
| multiply(inverse(X_56),multiply(X_55,X_56)) != double_divide(double_divide(X_56,X_55),X_56)
| double_divide(double_divide(X_56,X_55),X_56) = X_55 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_56),multiply(X_55,X_56)),X_55) ),[0],$fot(double_divide(double_divide(X_56,X_55),X_56))]]) ).
cnf(refute_0_455,plain,
( multiply(inverse(X_56),multiply(X_55,X_56)) != X_55
| double_divide(double_divide(X_56,X_55),X_56) = X_55 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),multiply(X_55,X_56)),double_divide(double_divide(X_56,X_55),X_56)) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
double_divide(double_divide(X_56,X_55),X_56) = X_55,
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),multiply(X_55,X_56)),X_55) )],[refute_0_448,refute_0_455]) ).
cnf(refute_0_457,plain,
double_divide(double_divide(X_70,X_55),X_70) = X_55,
inference(subst,[],[refute_0_456:[bind(X_56,$fot(X_70))]]) ).
cnf(refute_0_458,plain,
( multiply(X_68,inverse(double_divide(X_70,X_55))) != multiply(X_70,multiply(X_68,double_divide(double_divide(X_70,X_55),X_70)))
| double_divide(double_divide(X_70,X_55),X_70) != X_55
| multiply(X_68,inverse(double_divide(X_70,X_55))) = multiply(X_70,multiply(X_68,X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_68,inverse(double_divide(X_70,X_55))),multiply(X_70,multiply(X_68,double_divide(double_divide(X_70,X_55),X_70)))) ),[1,1,1],$fot(X_55)]]) ).
cnf(refute_0_459,plain,
( multiply(X_68,inverse(double_divide(X_70,X_55))) != multiply(X_70,multiply(X_68,double_divide(double_divide(X_70,X_55),X_70)))
| multiply(X_68,inverse(double_divide(X_70,X_55))) = multiply(X_70,multiply(X_68,X_55)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_70,X_55),X_70),X_55) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
multiply(X_68,inverse(double_divide(X_70,X_55))) = multiply(X_70,multiply(X_68,X_55)),
inference(resolve,[$cnf( $equal(multiply(X_68,inverse(double_divide(X_70,X_55))),multiply(X_70,multiply(X_68,double_divide(double_divide(X_70,X_55),X_70)))) )],[refute_0_440,refute_0_459]) ).
cnf(refute_0_461,plain,
inverse(double_divide(X_70,X_55)) = multiply(X_55,X_70),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_55)),bind(B,$fot(X_70))]]) ).
cnf(refute_0_462,plain,
multiply(X_68,inverse(double_divide(X_70,X_55))) = multiply(X_68,inverse(double_divide(X_70,X_55))),
introduced(tautology,[refl,[$fot(multiply(X_68,inverse(double_divide(X_70,X_55))))]]) ).
cnf(refute_0_463,plain,
( multiply(X_68,inverse(double_divide(X_70,X_55))) != multiply(X_68,inverse(double_divide(X_70,X_55)))
| inverse(double_divide(X_70,X_55)) != multiply(X_55,X_70)
| multiply(X_68,inverse(double_divide(X_70,X_55))) = multiply(X_68,multiply(X_55,X_70)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_68,inverse(double_divide(X_70,X_55))),multiply(X_68,inverse(double_divide(X_70,X_55)))) ),[1,1],$fot(multiply(X_55,X_70))]]) ).
cnf(refute_0_464,plain,
( inverse(double_divide(X_70,X_55)) != multiply(X_55,X_70)
| multiply(X_68,inverse(double_divide(X_70,X_55))) = multiply(X_68,multiply(X_55,X_70)) ),
inference(resolve,[$cnf( $equal(multiply(X_68,inverse(double_divide(X_70,X_55))),multiply(X_68,inverse(double_divide(X_70,X_55)))) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
multiply(X_68,inverse(double_divide(X_70,X_55))) = multiply(X_68,multiply(X_55,X_70)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_70,X_55)),multiply(X_55,X_70)) )],[refute_0_461,refute_0_464]) ).
cnf(refute_0_466,plain,
( multiply(X_68,inverse(double_divide(X_70,X_55))) != multiply(X_68,multiply(X_55,X_70))
| multiply(X_68,inverse(double_divide(X_70,X_55))) != multiply(X_70,multiply(X_68,X_55))
| multiply(X_68,multiply(X_55,X_70)) = multiply(X_70,multiply(X_68,X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_68,inverse(double_divide(X_70,X_55))),multiply(X_70,multiply(X_68,X_55))) ),[0],$fot(multiply(X_68,multiply(X_55,X_70)))]]) ).
cnf(refute_0_467,plain,
( multiply(X_68,inverse(double_divide(X_70,X_55))) != multiply(X_70,multiply(X_68,X_55))
| multiply(X_68,multiply(X_55,X_70)) = multiply(X_70,multiply(X_68,X_55)) ),
inference(resolve,[$cnf( $equal(multiply(X_68,inverse(double_divide(X_70,X_55))),multiply(X_68,multiply(X_55,X_70))) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
multiply(X_68,multiply(X_55,X_70)) = multiply(X_70,multiply(X_68,X_55)),
inference(resolve,[$cnf( $equal(multiply(X_68,inverse(double_divide(X_70,X_55))),multiply(X_70,multiply(X_68,X_55))) )],[refute_0_460,refute_0_467]) ).
cnf(refute_0_469,plain,
( multiply(X_68,multiply(X_55,X_70)) != multiply(X_70,multiply(X_68,X_55))
| multiply(X_70,multiply(X_68,X_55)) = multiply(X_68,multiply(X_55,X_70)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_68,multiply(X_55,X_70)))),bind(Y,$fot(multiply(X_70,multiply(X_68,X_55))))]]) ).
cnf(refute_0_470,plain,
multiply(X_70,multiply(X_68,X_55)) = multiply(X_68,multiply(X_55,X_70)),
inference(resolve,[$cnf( $equal(multiply(X_68,multiply(X_55,X_70)),multiply(X_70,multiply(X_68,X_55))) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_470:[bind(X_55,$fot(b3)),bind(X_68,$fot(a3)),bind(X_70,$fot(c3))]]) ).
cnf(refute_0_472,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_473,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_473,refute_0_184]) ).
cnf(refute_0_475,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_476,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_475,refute_0_474]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP587-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 08:10:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.41/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.60
% 0.41/0.60 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.48/0.67
%------------------------------------------------------------------------------