TSTP Solution File: GRP109-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP109-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 10:35:17 EDT 2022
% Result : Unsatisfiable 0.76s 0.93s
% Output : CNFRefutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 95
% Number of leaves : 152
% Syntax : Number of clauses : 619 ( 312 unt; 0 nHn; 308 RR)
% Number of literals : 1076 (1075 equ; 466 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 1544 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),Z) = Y ).
cnf(multiply,axiom,
multiply(X,Y) = inverse(double_divide(Y,X)) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ) ).
cnf(refute_0_0,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_1,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_2,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( multiply(X,Y) != inverse(double_divide(Y,X))
| inverse(double_divide(Y,X)) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(inverse(double_divide(Y,X))))]]) ).
cnf(refute_0_4,plain,
inverse(double_divide(Y,X)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),inverse(double_divide(Y,X))) )],[multiply,refute_0_3]) ).
cnf(refute_0_5,plain,
inverse(double_divide(inverse(Y),double_divide(X,Z))) = multiply(double_divide(X,Z),inverse(Y)),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(X,Z))),bind(Y,$fot(inverse(Y)))]]) ).
cnf(refute_0_6,plain,
multiply(inverse(double_divide(inverse(Y),double_divide(X,Z))),X) = multiply(inverse(double_divide(inverse(Y),double_divide(X,Z))),X),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(inverse(Y),double_divide(X,Z))),X))]]) ).
cnf(refute_0_7,plain,
( multiply(inverse(double_divide(inverse(Y),double_divide(X,Z))),X) != multiply(inverse(double_divide(inverse(Y),double_divide(X,Z))),X)
| inverse(double_divide(inverse(Y),double_divide(X,Z))) != multiply(double_divide(X,Z),inverse(Y))
| multiply(inverse(double_divide(inverse(Y),double_divide(X,Z))),X) = multiply(multiply(double_divide(X,Z),inverse(Y)),X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(inverse(Y),double_divide(X,Z))),X),multiply(inverse(double_divide(inverse(Y),double_divide(X,Z))),X)) ),[1,0],$fot(multiply(double_divide(X,Z),inverse(Y)))]]) ).
cnf(refute_0_8,plain,
( inverse(double_divide(inverse(Y),double_divide(X,Z))) != multiply(double_divide(X,Z),inverse(Y))
| multiply(inverse(double_divide(inverse(Y),double_divide(X,Z))),X) = multiply(multiply(double_divide(X,Z),inverse(Y)),X) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(inverse(Y),double_divide(X,Z))),X),multiply(inverse(double_divide(inverse(Y),double_divide(X,Z))),X)) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(inverse(double_divide(inverse(Y),double_divide(X,Z))),X) = multiply(multiply(double_divide(X,Z),inverse(Y)),X),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(Y),double_divide(X,Z))),multiply(double_divide(X,Z),inverse(Y))) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))) = multiply(inverse(double_divide(inverse(Y),double_divide(X,Z))),X),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(double_divide(inverse(Y),double_divide(X,Z))))),bind(Y,$fot(X))]]) ).
cnf(refute_0_11,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_12,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_11]) ).
cnf(refute_0_13,plain,
( multiply(inverse(double_divide(inverse(Y),double_divide(X,Z))),X) != multiply(multiply(double_divide(X,Z),inverse(Y)),X)
| inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))) != multiply(inverse(double_divide(inverse(Y),double_divide(X,Z))),X)
| inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))) = multiply(multiply(double_divide(X,Z),inverse(Y)),X) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))))),bind(Y0,$fot(multiply(inverse(double_divide(inverse(Y),double_divide(X,Z))),X))),bind(Z0,$fot(multiply(multiply(double_divide(X,Z),inverse(Y)),X)))]]) ).
cnf(refute_0_14,plain,
( multiply(inverse(double_divide(inverse(Y),double_divide(X,Z))),X) != multiply(multiply(double_divide(X,Z),inverse(Y)),X)
| inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))) = multiply(multiply(double_divide(X,Z),inverse(Y)),X) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),multiply(inverse(double_divide(inverse(Y),double_divide(X,Z))),X)) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))) = multiply(multiply(double_divide(X,Z),inverse(Y)),X),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(inverse(Y),double_divide(X,Z))),X),multiply(multiply(double_divide(X,Z),inverse(Y)),X)) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
double_divide(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),Z) = double_divide(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),Z),
introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),Z))]]) ).
cnf(refute_0_17,plain,
( double_divide(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),Z) != double_divide(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),Z)
| inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))) != multiply(multiply(double_divide(X,Z),inverse(Y)),X)
| double_divide(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),Z) = double_divide(multiply(multiply(double_divide(X,Z),inverse(Y)),X),Z) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),Z),double_divide(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),Z)) ),[1,0],$fot(multiply(multiply(double_divide(X,Z),inverse(Y)),X))]]) ).
cnf(refute_0_18,plain,
( inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))) != multiply(multiply(double_divide(X,Z),inverse(Y)),X)
| double_divide(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),Z) = double_divide(multiply(multiply(double_divide(X,Z),inverse(Y)),X),Z) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),Z),double_divide(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),Z)) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
double_divide(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),Z) = double_divide(multiply(multiply(double_divide(X,Z),inverse(Y)),X),Z),
inference(resolve,[$cnf( $equal(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),multiply(multiply(double_divide(X,Z),inverse(Y)),X)) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
( double_divide(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),Z) != Y
| double_divide(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),Z) != double_divide(multiply(multiply(double_divide(X,Z),inverse(Y)),X),Z)
| double_divide(multiply(multiply(double_divide(X,Z),inverse(Y)),X),Z) = Y ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),Z),Y) ),[0],$fot(double_divide(multiply(multiply(double_divide(X,Z),inverse(Y)),X),Z))]]) ).
cnf(refute_0_21,plain,
( double_divide(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),Z) != Y
| double_divide(multiply(multiply(double_divide(X,Z),inverse(Y)),X),Z) = Y ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),Z),double_divide(multiply(multiply(double_divide(X,Z),inverse(Y)),X),Z)) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
double_divide(multiply(multiply(double_divide(X,Z),inverse(Y)),X),Z) = Y,
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),Z),Y) )],[single_axiom,refute_0_21]) ).
cnf(refute_0_23,plain,
double_divide(multiply(multiply(double_divide(inverse(X_17),multiply(X_17,inverse(X_16))),inverse(Y)),inverse(X_17)),multiply(X_17,inverse(X_16))) = Y,
inference(subst,[],[refute_0_22:[bind(X,$fot(inverse(X_17))),bind(Z,$fot(multiply(X_17,inverse(X_16))))]]) ).
cnf(refute_0_24,plain,
double_divide(multiply(multiply(double_divide(multiply(multiply(double_divide(X_2,Z),inverse(X_3)),X_2),Z),inverse(Y)),multiply(multiply(double_divide(X_2,Z),inverse(X_3)),X_2)),Z) = Y,
inference(subst,[],[refute_0_22:[bind(X,$fot(multiply(multiply(double_divide(X_2,Z),inverse(X_3)),X_2)))]]) ).
cnf(refute_0_25,plain,
double_divide(multiply(multiply(double_divide(X_2,Z),inverse(X_3)),X_2),Z) = X_3,
inference(subst,[],[refute_0_22:[bind(X,$fot(X_2)),bind(Y,$fot(X_3))]]) ).
cnf(refute_0_26,plain,
( double_divide(multiply(multiply(double_divide(X_2,Z),inverse(X_3)),X_2),Z) != X_3
| double_divide(multiply(multiply(double_divide(multiply(multiply(double_divide(X_2,Z),inverse(X_3)),X_2),Z),inverse(Y)),multiply(multiply(double_divide(X_2,Z),inverse(X_3)),X_2)),Z) != Y
| double_divide(multiply(multiply(X_3,inverse(Y)),multiply(multiply(double_divide(X_2,Z),inverse(X_3)),X_2)),Z) = Y ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(double_divide(multiply(multiply(double_divide(X_2,Z),inverse(X_3)),X_2),Z),inverse(Y)),multiply(multiply(double_divide(X_2,Z),inverse(X_3)),X_2)),Z),Y) ),[0,0,0,0],$fot(X_3)]]) ).
cnf(refute_0_27,plain,
( double_divide(multiply(multiply(double_divide(multiply(multiply(double_divide(X_2,Z),inverse(X_3)),X_2),Z),inverse(Y)),multiply(multiply(double_divide(X_2,Z),inverse(X_3)),X_2)),Z) != Y
| double_divide(multiply(multiply(X_3,inverse(Y)),multiply(multiply(double_divide(X_2,Z),inverse(X_3)),X_2)),Z) = Y ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,Z),inverse(X_3)),X_2),Z),X_3) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
double_divide(multiply(multiply(X_3,inverse(Y)),multiply(multiply(double_divide(X_2,Z),inverse(X_3)),X_2)),Z) = Y,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(multiply(multiply(double_divide(X_2,Z),inverse(X_3)),X_2),Z),inverse(Y)),multiply(multiply(double_divide(X_2,Z),inverse(X_3)),X_2)),Z),Y) )],[refute_0_24,refute_0_27]) ).
cnf(refute_0_29,plain,
double_divide(multiply(multiply(X_15,inverse(X_12)),multiply(multiply(double_divide(X_14,multiply(X_15,inverse(X_12))),inverse(X_15)),X_14)),multiply(X_15,inverse(X_12))) = X_12,
inference(subst,[],[refute_0_28:[bind(Y,$fot(X_12)),bind(Z,$fot(multiply(X_15,inverse(X_12)))),bind(X_2,$fot(X_14)),bind(X_3,$fot(X_15))]]) ).
cnf(refute_0_30,plain,
multiply(X,multiply(multiply(double_divide(X_2,X),inverse(X_3)),X_2)) = inverse(double_divide(multiply(multiply(double_divide(X_2,X),inverse(X_3)),X_2),X)),
inference(subst,[],[multiply:[bind(Y,$fot(multiply(multiply(double_divide(X_2,X),inverse(X_3)),X_2)))]]) ).
cnf(refute_0_31,plain,
double_divide(multiply(multiply(double_divide(X_2,X),inverse(X_3)),X_2),X) = X_3,
inference(subst,[],[refute_0_22:[bind(X,$fot(X_2)),bind(Y,$fot(X_3)),bind(Z,$fot(X))]]) ).
cnf(refute_0_32,plain,
( multiply(X,multiply(multiply(double_divide(X_2,X),inverse(X_3)),X_2)) != inverse(double_divide(multiply(multiply(double_divide(X_2,X),inverse(X_3)),X_2),X))
| double_divide(multiply(multiply(double_divide(X_2,X),inverse(X_3)),X_2),X) != X_3
| multiply(X,multiply(multiply(double_divide(X_2,X),inverse(X_3)),X_2)) = inverse(X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(double_divide(X_2,X),inverse(X_3)),X_2)),inverse(double_divide(multiply(multiply(double_divide(X_2,X),inverse(X_3)),X_2),X))) ),[1,0],$fot(X_3)]]) ).
cnf(refute_0_33,plain,
( multiply(X,multiply(multiply(double_divide(X_2,X),inverse(X_3)),X_2)) != inverse(double_divide(multiply(multiply(double_divide(X_2,X),inverse(X_3)),X_2),X))
| multiply(X,multiply(multiply(double_divide(X_2,X),inverse(X_3)),X_2)) = inverse(X_3) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X),inverse(X_3)),X_2),X),X_3) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
multiply(X,multiply(multiply(double_divide(X_2,X),inverse(X_3)),X_2)) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(double_divide(X_2,X),inverse(X_3)),X_2)),inverse(double_divide(multiply(multiply(double_divide(X_2,X),inverse(X_3)),X_2),X))) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
multiply(multiply(X_15,inverse(X_12)),multiply(multiply(double_divide(X_14,multiply(X_15,inverse(X_12))),inverse(X_15)),X_14)) = inverse(X_15),
inference(subst,[],[refute_0_34:[bind(X,$fot(multiply(X_15,inverse(X_12)))),bind(X_2,$fot(X_14)),bind(X_3,$fot(X_15))]]) ).
cnf(refute_0_36,plain,
( multiply(multiply(X_15,inverse(X_12)),multiply(multiply(double_divide(X_14,multiply(X_15,inverse(X_12))),inverse(X_15)),X_14)) != inverse(X_15)
| double_divide(multiply(multiply(X_15,inverse(X_12)),multiply(multiply(double_divide(X_14,multiply(X_15,inverse(X_12))),inverse(X_15)),X_14)),multiply(X_15,inverse(X_12))) != X_12
| double_divide(inverse(X_15),multiply(X_15,inverse(X_12))) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_15,inverse(X_12)),multiply(multiply(double_divide(X_14,multiply(X_15,inverse(X_12))),inverse(X_15)),X_14)),multiply(X_15,inverse(X_12))),X_12) ),[0,0],$fot(inverse(X_15))]]) ).
cnf(refute_0_37,plain,
( double_divide(multiply(multiply(X_15,inverse(X_12)),multiply(multiply(double_divide(X_14,multiply(X_15,inverse(X_12))),inverse(X_15)),X_14)),multiply(X_15,inverse(X_12))) != X_12
| double_divide(inverse(X_15),multiply(X_15,inverse(X_12))) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,inverse(X_12)),multiply(multiply(double_divide(X_14,multiply(X_15,inverse(X_12))),inverse(X_15)),X_14)),inverse(X_15)) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
double_divide(inverse(X_15),multiply(X_15,inverse(X_12))) = X_12,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_15,inverse(X_12)),multiply(multiply(double_divide(X_14,multiply(X_15,inverse(X_12))),inverse(X_15)),X_14)),multiply(X_15,inverse(X_12))),X_12) )],[refute_0_29,refute_0_37]) ).
cnf(refute_0_39,plain,
double_divide(inverse(X_17),multiply(X_17,inverse(X_16))) = X_16,
inference(subst,[],[refute_0_38:[bind(X_12,$fot(X_16)),bind(X_15,$fot(X_17))]]) ).
cnf(refute_0_40,plain,
( double_divide(multiply(multiply(double_divide(inverse(X_17),multiply(X_17,inverse(X_16))),inverse(Y)),inverse(X_17)),multiply(X_17,inverse(X_16))) != Y
| double_divide(inverse(X_17),multiply(X_17,inverse(X_16))) != X_16
| double_divide(multiply(multiply(X_16,inverse(Y)),inverse(X_17)),multiply(X_17,inverse(X_16))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(double_divide(inverse(X_17),multiply(X_17,inverse(X_16))),inverse(Y)),inverse(X_17)),multiply(X_17,inverse(X_16))),Y) ),[0,0,0,0],$fot(X_16)]]) ).
cnf(refute_0_41,plain,
( double_divide(multiply(multiply(double_divide(inverse(X_17),multiply(X_17,inverse(X_16))),inverse(Y)),inverse(X_17)),multiply(X_17,inverse(X_16))) != Y
| double_divide(multiply(multiply(X_16,inverse(Y)),inverse(X_17)),multiply(X_17,inverse(X_16))) = Y ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,inverse(X_16))),X_16) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
double_divide(multiply(multiply(X_16,inverse(Y)),inverse(X_17)),multiply(X_17,inverse(X_16))) = Y,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(inverse(X_17),multiply(X_17,inverse(X_16))),inverse(Y)),inverse(X_17)),multiply(X_17,inverse(X_16))),Y) )],[refute_0_23,refute_0_41]) ).
cnf(refute_0_43,plain,
double_divide(multiply(multiply(inverse(X_38),inverse(multiply(X_37,inverse(X_38)))),inverse(X_17)),multiply(X_17,inverse(inverse(X_38)))) = multiply(X_37,inverse(X_38)),
inference(subst,[],[refute_0_42:[bind(Y,$fot(multiply(X_37,inverse(X_38)))),bind(X_16,$fot(inverse(X_38)))]]) ).
cnf(refute_0_44,plain,
multiply(multiply(X_17,inverse(X_16)),inverse(X_17)) = inverse(double_divide(inverse(X_17),multiply(X_17,inverse(X_16)))),
inference(subst,[],[multiply:[bind(X,$fot(multiply(X_17,inverse(X_16)))),bind(Y,$fot(inverse(X_17)))]]) ).
cnf(refute_0_45,plain,
( multiply(multiply(X_17,inverse(X_16)),inverse(X_17)) != inverse(double_divide(inverse(X_17),multiply(X_17,inverse(X_16))))
| double_divide(inverse(X_17),multiply(X_17,inverse(X_16))) != X_16
| multiply(multiply(X_17,inverse(X_16)),inverse(X_17)) = inverse(X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_17,inverse(X_16)),inverse(X_17)),inverse(double_divide(inverse(X_17),multiply(X_17,inverse(X_16))))) ),[1,0],$fot(X_16)]]) ).
cnf(refute_0_46,plain,
( multiply(multiply(X_17,inverse(X_16)),inverse(X_17)) != inverse(double_divide(inverse(X_17),multiply(X_17,inverse(X_16))))
| multiply(multiply(X_17,inverse(X_16)),inverse(X_17)) = inverse(X_16) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,inverse(X_16))),X_16) )],[refute_0_39,refute_0_45]) ).
cnf(refute_0_47,plain,
multiply(multiply(X_17,inverse(X_16)),inverse(X_17)) = inverse(X_16),
inference(resolve,[$cnf( $equal(multiply(multiply(X_17,inverse(X_16)),inverse(X_17)),inverse(double_divide(inverse(X_17),multiply(X_17,inverse(X_16))))) )],[refute_0_44,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(multiply(multiply(X_16,inverse(X_35)),inverse(X_16)),inverse(multiply(X_16,inverse(X_35)))) = inverse(X_16),
inference(subst,[],[refute_0_47:[bind(X_17,$fot(multiply(X_16,inverse(X_35))))]]) ).
cnf(refute_0_49,plain,
multiply(multiply(X_16,inverse(X_35)),inverse(X_16)) = inverse(X_35),
inference(subst,[],[refute_0_47:[bind(X_16,$fot(X_35)),bind(X_17,$fot(X_16))]]) ).
cnf(refute_0_50,plain,
( multiply(multiply(X_16,inverse(X_35)),inverse(X_16)) != inverse(X_35)
| multiply(multiply(multiply(X_16,inverse(X_35)),inverse(X_16)),inverse(multiply(X_16,inverse(X_35)))) != inverse(X_16)
| multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35)))) = inverse(X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_16,inverse(X_35)),inverse(X_16)),inverse(multiply(X_16,inverse(X_35)))),inverse(X_16)) ),[0,0],$fot(inverse(X_35))]]) ).
cnf(refute_0_51,plain,
( multiply(multiply(multiply(X_16,inverse(X_35)),inverse(X_16)),inverse(multiply(X_16,inverse(X_35)))) != inverse(X_16)
| multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35)))) = inverse(X_16) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_16,inverse(X_35)),inverse(X_16)),inverse(X_35)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35)))) = inverse(X_16),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_16,inverse(X_35)),inverse(X_16)),inverse(multiply(X_16,inverse(X_35)))),inverse(X_16)) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
multiply(inverse(X_38),inverse(multiply(X_37,inverse(X_38)))) = inverse(X_37),
inference(subst,[],[refute_0_52:[bind(X_16,$fot(X_37)),bind(X_35,$fot(X_38))]]) ).
cnf(refute_0_54,plain,
( multiply(inverse(X_38),inverse(multiply(X_37,inverse(X_38)))) != inverse(X_37)
| double_divide(multiply(multiply(inverse(X_38),inverse(multiply(X_37,inverse(X_38)))),inverse(X_17)),multiply(X_17,inverse(inverse(X_38)))) != multiply(X_37,inverse(X_38))
| double_divide(multiply(inverse(X_37),inverse(X_17)),multiply(X_17,inverse(inverse(X_38)))) = multiply(X_37,inverse(X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_38),inverse(multiply(X_37,inverse(X_38)))),inverse(X_17)),multiply(X_17,inverse(inverse(X_38)))),multiply(X_37,inverse(X_38))) ),[0,0,0],$fot(inverse(X_37))]]) ).
cnf(refute_0_55,plain,
( double_divide(multiply(multiply(inverse(X_38),inverse(multiply(X_37,inverse(X_38)))),inverse(X_17)),multiply(X_17,inverse(inverse(X_38)))) != multiply(X_37,inverse(X_38))
| double_divide(multiply(inverse(X_37),inverse(X_17)),multiply(X_17,inverse(inverse(X_38)))) = multiply(X_37,inverse(X_38)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_38),inverse(multiply(X_37,inverse(X_38)))),inverse(X_37)) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
double_divide(multiply(inverse(X_37),inverse(X_17)),multiply(X_17,inverse(inverse(X_38)))) = multiply(X_37,inverse(X_38)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_38),inverse(multiply(X_37,inverse(X_38)))),inverse(X_17)),multiply(X_17,inverse(inverse(X_38)))),multiply(X_37,inverse(X_38))) )],[refute_0_43,refute_0_55]) ).
cnf(refute_0_57,plain,
double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(double_divide(Y,X))),X_2),X_4) = double_divide(Y,X),
inference(subst,[],[refute_0_22:[bind(X,$fot(X_2)),bind(Y,$fot(double_divide(Y,X))),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_58,plain,
( double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(double_divide(Y,X))),X_2),X_4) != double_divide(Y,X)
| inverse(double_divide(Y,X)) != multiply(X,Y)
| double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(X,Y)),X_2),X_4) = double_divide(Y,X) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(double_divide(Y,X))),X_2),X_4),double_divide(Y,X)) ),[0,0,0,1],$fot(multiply(X,Y))]]) ).
cnf(refute_0_59,plain,
( double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(double_divide(Y,X))),X_2),X_4) != double_divide(Y,X)
| double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(X,Y)),X_2),X_4) = double_divide(Y,X) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_4,refute_0_58]) ).
cnf(refute_0_60,plain,
double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(X,Y)),X_2),X_4) = double_divide(Y,X),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(double_divide(Y,X))),X_2),X_4),double_divide(Y,X)) )],[refute_0_57,refute_0_59]) ).
cnf(refute_0_61,plain,
double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(multiply(double_divide(Y,double_divide(X_2,X_4)),inverse(X_11)),Y)),X_2),X_4) = double_divide(Y,multiply(double_divide(Y,double_divide(X_2,X_4)),inverse(X_11))),
inference(subst,[],[refute_0_60:[bind(X,$fot(multiply(double_divide(Y,double_divide(X_2,X_4)),inverse(X_11))))]]) ).
cnf(refute_0_62,plain,
multiply(double_divide(X_2,X_4),multiply(multiply(double_divide(Y,double_divide(X_2,X_4)),inverse(X_11)),Y)) = inverse(X_11),
inference(subst,[],[refute_0_34:[bind(X,$fot(double_divide(X_2,X_4))),bind(X_2,$fot(Y)),bind(X_3,$fot(X_11))]]) ).
cnf(refute_0_63,plain,
( multiply(double_divide(X_2,X_4),multiply(multiply(double_divide(Y,double_divide(X_2,X_4)),inverse(X_11)),Y)) != inverse(X_11)
| double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(multiply(double_divide(Y,double_divide(X_2,X_4)),inverse(X_11)),Y)),X_2),X_4) != double_divide(Y,multiply(double_divide(Y,double_divide(X_2,X_4)),inverse(X_11)))
| double_divide(multiply(inverse(X_11),X_2),X_4) = double_divide(Y,multiply(double_divide(Y,double_divide(X_2,X_4)),inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(multiply(double_divide(Y,double_divide(X_2,X_4)),inverse(X_11)),Y)),X_2),X_4),double_divide(Y,multiply(double_divide(Y,double_divide(X_2,X_4)),inverse(X_11)))) ),[0,0,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_64,plain,
( double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(multiply(double_divide(Y,double_divide(X_2,X_4)),inverse(X_11)),Y)),X_2),X_4) != double_divide(Y,multiply(double_divide(Y,double_divide(X_2,X_4)),inverse(X_11)))
| double_divide(multiply(inverse(X_11),X_2),X_4) = double_divide(Y,multiply(double_divide(Y,double_divide(X_2,X_4)),inverse(X_11))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_2,X_4),multiply(multiply(double_divide(Y,double_divide(X_2,X_4)),inverse(X_11)),Y)),inverse(X_11)) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
double_divide(multiply(inverse(X_11),X_2),X_4) = double_divide(Y,multiply(double_divide(Y,double_divide(X_2,X_4)),inverse(X_11))),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(multiply(double_divide(Y,double_divide(X_2,X_4)),inverse(X_11)),Y)),X_2),X_4),double_divide(Y,multiply(double_divide(Y,double_divide(X_2,X_4)),inverse(X_11)))) )],[refute_0_61,refute_0_64]) ).
cnf(refute_0_66,plain,
double_divide(multiply(inverse(X_23),inverse(X_15)),multiply(X_15,inverse(X_12))) = double_divide(X_22,multiply(double_divide(X_22,double_divide(inverse(X_15),multiply(X_15,inverse(X_12)))),inverse(X_23))),
inference(subst,[],[refute_0_65:[bind(Y,$fot(X_22)),bind(X_11,$fot(X_23)),bind(X_2,$fot(inverse(X_15))),bind(X_4,$fot(multiply(X_15,inverse(X_12))))]]) ).
cnf(refute_0_67,plain,
( double_divide(multiply(inverse(X_23),inverse(X_15)),multiply(X_15,inverse(X_12))) != double_divide(X_22,multiply(double_divide(X_22,double_divide(inverse(X_15),multiply(X_15,inverse(X_12)))),inverse(X_23)))
| double_divide(inverse(X_15),multiply(X_15,inverse(X_12))) != X_12
| double_divide(multiply(inverse(X_23),inverse(X_15)),multiply(X_15,inverse(X_12))) = double_divide(X_22,multiply(double_divide(X_22,X_12),inverse(X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_23),inverse(X_15)),multiply(X_15,inverse(X_12))),double_divide(X_22,multiply(double_divide(X_22,double_divide(inverse(X_15),multiply(X_15,inverse(X_12)))),inverse(X_23)))) ),[1,1,0,1],$fot(X_12)]]) ).
cnf(refute_0_68,plain,
( double_divide(multiply(inverse(X_23),inverse(X_15)),multiply(X_15,inverse(X_12))) != double_divide(X_22,multiply(double_divide(X_22,double_divide(inverse(X_15),multiply(X_15,inverse(X_12)))),inverse(X_23)))
| double_divide(multiply(inverse(X_23),inverse(X_15)),multiply(X_15,inverse(X_12))) = double_divide(X_22,multiply(double_divide(X_22,X_12),inverse(X_23))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),multiply(X_15,inverse(X_12))),X_12) )],[refute_0_38,refute_0_67]) ).
cnf(refute_0_69,plain,
double_divide(multiply(inverse(X_23),inverse(X_15)),multiply(X_15,inverse(X_12))) = double_divide(X_22,multiply(double_divide(X_22,X_12),inverse(X_23))),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_23),inverse(X_15)),multiply(X_15,inverse(X_12))),double_divide(X_22,multiply(double_divide(X_22,double_divide(inverse(X_15),multiply(X_15,inverse(X_12)))),inverse(X_23)))) )],[refute_0_66,refute_0_68]) ).
cnf(refute_0_70,plain,
double_divide(inverse(X_17),multiply(X_17,inverse(double_divide(Y,X)))) = double_divide(Y,X),
inference(subst,[],[refute_0_38:[bind(X_12,$fot(double_divide(Y,X))),bind(X_15,$fot(X_17))]]) ).
cnf(refute_0_71,plain,
( double_divide(inverse(X_17),multiply(X_17,inverse(double_divide(Y,X)))) != double_divide(Y,X)
| inverse(double_divide(Y,X)) != multiply(X,Y)
| double_divide(inverse(X_17),multiply(X_17,multiply(X,Y))) = double_divide(Y,X) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,inverse(double_divide(Y,X)))),double_divide(Y,X)) ),[0,1,1],$fot(multiply(X,Y))]]) ).
cnf(refute_0_72,plain,
( double_divide(inverse(X_17),multiply(X_17,inverse(double_divide(Y,X)))) != double_divide(Y,X)
| double_divide(inverse(X_17),multiply(X_17,multiply(X,Y))) = double_divide(Y,X) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_4,refute_0_71]) ).
cnf(refute_0_73,plain,
double_divide(inverse(X_17),multiply(X_17,multiply(X,Y))) = double_divide(Y,X),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,inverse(double_divide(Y,X)))),double_divide(Y,X)) )],[refute_0_70,refute_0_72]) ).
cnf(refute_0_74,plain,
double_divide(inverse(X_28),multiply(X_28,multiply(multiply(double_divide(X_27,X_28),inverse(X_3)),X_27))) = double_divide(X_27,multiply(double_divide(X_27,X_28),inverse(X_3))),
inference(subst,[],[refute_0_73:[bind(X,$fot(multiply(double_divide(X_27,X_28),inverse(X_3)))),bind(Y,$fot(X_27)),bind(X_17,$fot(X_28))]]) ).
cnf(refute_0_75,plain,
multiply(X_28,multiply(multiply(double_divide(X_27,X_28),inverse(X_3)),X_27)) = inverse(X_3),
inference(subst,[],[refute_0_34:[bind(X,$fot(X_28)),bind(X_2,$fot(X_27))]]) ).
cnf(refute_0_76,plain,
( multiply(X_28,multiply(multiply(double_divide(X_27,X_28),inverse(X_3)),X_27)) != inverse(X_3)
| double_divide(inverse(X_28),multiply(X_28,multiply(multiply(double_divide(X_27,X_28),inverse(X_3)),X_27))) != double_divide(X_27,multiply(double_divide(X_27,X_28),inverse(X_3)))
| double_divide(inverse(X_28),inverse(X_3)) = double_divide(X_27,multiply(double_divide(X_27,X_28),inverse(X_3))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_28),multiply(X_28,multiply(multiply(double_divide(X_27,X_28),inverse(X_3)),X_27))),double_divide(X_27,multiply(double_divide(X_27,X_28),inverse(X_3)))) ),[0,1],$fot(inverse(X_3))]]) ).
cnf(refute_0_77,plain,
( double_divide(inverse(X_28),multiply(X_28,multiply(multiply(double_divide(X_27,X_28),inverse(X_3)),X_27))) != double_divide(X_27,multiply(double_divide(X_27,X_28),inverse(X_3)))
| double_divide(inverse(X_28),inverse(X_3)) = double_divide(X_27,multiply(double_divide(X_27,X_28),inverse(X_3))) ),
inference(resolve,[$cnf( $equal(multiply(X_28,multiply(multiply(double_divide(X_27,X_28),inverse(X_3)),X_27)),inverse(X_3)) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
double_divide(inverse(X_28),inverse(X_3)) = double_divide(X_27,multiply(double_divide(X_27,X_28),inverse(X_3))),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_28),multiply(X_28,multiply(multiply(double_divide(X_27,X_28),inverse(X_3)),X_27))),double_divide(X_27,multiply(double_divide(X_27,X_28),inverse(X_3)))) )],[refute_0_74,refute_0_77]) ).
cnf(refute_0_79,plain,
( double_divide(inverse(X_28),inverse(X_3)) != double_divide(X_27,multiply(double_divide(X_27,X_28),inverse(X_3)))
| double_divide(X_27,multiply(double_divide(X_27,X_28),inverse(X_3))) = double_divide(inverse(X_28),inverse(X_3)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(double_divide(inverse(X_28),inverse(X_3)))),bind(Y0,$fot(double_divide(X_27,multiply(double_divide(X_27,X_28),inverse(X_3)))))]]) ).
cnf(refute_0_80,plain,
double_divide(X_27,multiply(double_divide(X_27,X_28),inverse(X_3))) = double_divide(inverse(X_28),inverse(X_3)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_28),inverse(X_3)),double_divide(X_27,multiply(double_divide(X_27,X_28),inverse(X_3)))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
double_divide(X_22,multiply(double_divide(X_22,X_12),inverse(X_23))) = double_divide(inverse(X_12),inverse(X_23)),
inference(subst,[],[refute_0_80:[bind(X_27,$fot(X_22)),bind(X_28,$fot(X_12)),bind(X_3,$fot(X_23))]]) ).
cnf(refute_0_82,plain,
( double_divide(X_22,multiply(double_divide(X_22,X_12),inverse(X_23))) != double_divide(inverse(X_12),inverse(X_23))
| double_divide(multiply(inverse(X_23),inverse(X_15)),multiply(X_15,inverse(X_12))) != double_divide(X_22,multiply(double_divide(X_22,X_12),inverse(X_23)))
| double_divide(multiply(inverse(X_23),inverse(X_15)),multiply(X_15,inverse(X_12))) = double_divide(inverse(X_12),inverse(X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_23),inverse(X_15)),multiply(X_15,inverse(X_12))),double_divide(X_22,multiply(double_divide(X_22,X_12),inverse(X_23)))) ),[1],$fot(double_divide(inverse(X_12),inverse(X_23)))]]) ).
cnf(refute_0_83,plain,
( double_divide(multiply(inverse(X_23),inverse(X_15)),multiply(X_15,inverse(X_12))) != double_divide(X_22,multiply(double_divide(X_22,X_12),inverse(X_23)))
| double_divide(multiply(inverse(X_23),inverse(X_15)),multiply(X_15,inverse(X_12))) = double_divide(inverse(X_12),inverse(X_23)) ),
inference(resolve,[$cnf( $equal(double_divide(X_22,multiply(double_divide(X_22,X_12),inverse(X_23))),double_divide(inverse(X_12),inverse(X_23))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
double_divide(multiply(inverse(X_23),inverse(X_15)),multiply(X_15,inverse(X_12))) = double_divide(inverse(X_12),inverse(X_23)),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_23),inverse(X_15)),multiply(X_15,inverse(X_12))),double_divide(X_22,multiply(double_divide(X_22,X_12),inverse(X_23)))) )],[refute_0_69,refute_0_83]) ).
cnf(refute_0_85,plain,
double_divide(multiply(inverse(X_37),inverse(X_17)),multiply(X_17,inverse(inverse(X_38)))) = double_divide(inverse(inverse(X_38)),inverse(X_37)),
inference(subst,[],[refute_0_84:[bind(X_12,$fot(inverse(X_38))),bind(X_15,$fot(X_17)),bind(X_23,$fot(X_37))]]) ).
cnf(refute_0_86,plain,
( double_divide(multiply(inverse(X_37),inverse(X_17)),multiply(X_17,inverse(inverse(X_38)))) != multiply(X_37,inverse(X_38))
| double_divide(multiply(inverse(X_37),inverse(X_17)),multiply(X_17,inverse(inverse(X_38)))) != double_divide(inverse(inverse(X_38)),inverse(X_37))
| double_divide(inverse(inverse(X_38)),inverse(X_37)) = multiply(X_37,inverse(X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_37),inverse(X_17)),multiply(X_17,inverse(inverse(X_38)))),multiply(X_37,inverse(X_38))) ),[0],$fot(double_divide(inverse(inverse(X_38)),inverse(X_37)))]]) ).
cnf(refute_0_87,plain,
( double_divide(multiply(inverse(X_37),inverse(X_17)),multiply(X_17,inverse(inverse(X_38)))) != multiply(X_37,inverse(X_38))
| double_divide(inverse(inverse(X_38)),inverse(X_37)) = multiply(X_37,inverse(X_38)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_37),inverse(X_17)),multiply(X_17,inverse(inverse(X_38)))),double_divide(inverse(inverse(X_38)),inverse(X_37))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
double_divide(inverse(inverse(X_38)),inverse(X_37)) = multiply(X_37,inverse(X_38)),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_37),inverse(X_17)),multiply(X_17,inverse(inverse(X_38)))),multiply(X_37,inverse(X_38))) )],[refute_0_56,refute_0_87]) ).
cnf(refute_0_89,plain,
double_divide(inverse(double_divide(Y,X)),multiply(double_divide(Y,X),inverse(X_16))) = X_16,
inference(subst,[],[refute_0_38:[bind(X_12,$fot(X_16)),bind(X_15,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_90,plain,
( double_divide(inverse(double_divide(Y,X)),multiply(double_divide(Y,X),inverse(X_16))) != X_16
| inverse(double_divide(Y,X)) != multiply(X,Y)
| double_divide(multiply(X,Y),multiply(double_divide(Y,X),inverse(X_16))) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(Y,X)),multiply(double_divide(Y,X),inverse(X_16))),X_16) ),[0,0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_91,plain,
( double_divide(inverse(double_divide(Y,X)),multiply(double_divide(Y,X),inverse(X_16))) != X_16
| double_divide(multiply(X,Y),multiply(double_divide(Y,X),inverse(X_16))) = X_16 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_4,refute_0_90]) ).
cnf(refute_0_92,plain,
double_divide(multiply(X,Y),multiply(double_divide(Y,X),inverse(X_16))) = X_16,
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(Y,X)),multiply(double_divide(Y,X),inverse(X_16))),X_16) )],[refute_0_89,refute_0_91]) ).
cnf(refute_0_93,plain,
double_divide(multiply(double_divide(inverse(X_45),X_45),inverse(X_46)),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))) = X_16,
inference(subst,[],[refute_0_92:[bind(X,$fot(double_divide(inverse(X_45),X_45))),bind(Y,$fot(inverse(X_46)))]]) ).
cnf(refute_0_94,plain,
multiply(X,multiply(multiply(double_divide(inverse(X),X),inverse(X_3)),inverse(X))) = inverse(X_3),
inference(subst,[],[refute_0_34:[bind(X_2,$fot(inverse(X)))]]) ).
cnf(refute_0_95,plain,
double_divide(multiply(multiply(multiply(Y,inverse(X_35)),inverse(Y)),inverse(X_17)),multiply(X_17,inverse(multiply(Y,inverse(X_35))))) = Y,
inference(subst,[],[refute_0_42:[bind(X_16,$fot(multiply(Y,inverse(X_35))))]]) ).
cnf(refute_0_96,plain,
multiply(multiply(Y,inverse(X_35)),inverse(Y)) = inverse(X_35),
inference(subst,[],[refute_0_47:[bind(X_16,$fot(X_35)),bind(X_17,$fot(Y))]]) ).
cnf(refute_0_97,plain,
( multiply(multiply(Y,inverse(X_35)),inverse(Y)) != inverse(X_35)
| double_divide(multiply(multiply(multiply(Y,inverse(X_35)),inverse(Y)),inverse(X_17)),multiply(X_17,inverse(multiply(Y,inverse(X_35))))) != Y
| double_divide(multiply(inverse(X_35),inverse(X_17)),multiply(X_17,inverse(multiply(Y,inverse(X_35))))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(multiply(Y,inverse(X_35)),inverse(Y)),inverse(X_17)),multiply(X_17,inverse(multiply(Y,inverse(X_35))))),Y) ),[0,0,0],$fot(inverse(X_35))]]) ).
cnf(refute_0_98,plain,
( double_divide(multiply(multiply(multiply(Y,inverse(X_35)),inverse(Y)),inverse(X_17)),multiply(X_17,inverse(multiply(Y,inverse(X_35))))) != Y
| double_divide(multiply(inverse(X_35),inverse(X_17)),multiply(X_17,inverse(multiply(Y,inverse(X_35))))) = Y ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,inverse(X_35)),inverse(Y)),inverse(X_35)) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
double_divide(multiply(inverse(X_35),inverse(X_17)),multiply(X_17,inverse(multiply(Y,inverse(X_35))))) = Y,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(multiply(Y,inverse(X_35)),inverse(Y)),inverse(X_17)),multiply(X_17,inverse(multiply(Y,inverse(X_35))))),Y) )],[refute_0_95,refute_0_98]) ).
cnf(refute_0_100,plain,
double_divide(multiply(inverse(X_35),inverse(X_17)),multiply(X_17,inverse(multiply(Y,inverse(X_35))))) = double_divide(inverse(multiply(Y,inverse(X_35))),inverse(X_35)),
inference(subst,[],[refute_0_84:[bind(X_12,$fot(multiply(Y,inverse(X_35)))),bind(X_15,$fot(X_17)),bind(X_23,$fot(X_35))]]) ).
cnf(refute_0_101,plain,
( double_divide(multiply(inverse(X_35),inverse(X_17)),multiply(X_17,inverse(multiply(Y,inverse(X_35))))) != Y
| double_divide(multiply(inverse(X_35),inverse(X_17)),multiply(X_17,inverse(multiply(Y,inverse(X_35))))) != double_divide(inverse(multiply(Y,inverse(X_35))),inverse(X_35))
| double_divide(inverse(multiply(Y,inverse(X_35))),inverse(X_35)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_35),inverse(X_17)),multiply(X_17,inverse(multiply(Y,inverse(X_35))))),Y) ),[0],$fot(double_divide(inverse(multiply(Y,inverse(X_35))),inverse(X_35)))]]) ).
cnf(refute_0_102,plain,
( double_divide(multiply(inverse(X_35),inverse(X_17)),multiply(X_17,inverse(multiply(Y,inverse(X_35))))) != Y
| double_divide(inverse(multiply(Y,inverse(X_35))),inverse(X_35)) = Y ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_35),inverse(X_17)),multiply(X_17,inverse(multiply(Y,inverse(X_35))))),double_divide(inverse(multiply(Y,inverse(X_35))),inverse(X_35))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
double_divide(inverse(multiply(Y,inverse(X_35))),inverse(X_35)) = Y,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_35),inverse(X_17)),multiply(X_17,inverse(multiply(Y,inverse(X_35))))),Y) )],[refute_0_99,refute_0_102]) ).
cnf(refute_0_104,plain,
double_divide(inverse(inverse(double_divide(Y,X))),inverse(X_39)) = multiply(X_39,inverse(double_divide(Y,X))),
inference(subst,[],[refute_0_88:[bind(X_37,$fot(X_39)),bind(X_38,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_105,plain,
( double_divide(inverse(inverse(double_divide(Y,X))),inverse(X_39)) != multiply(X_39,inverse(double_divide(Y,X)))
| inverse(double_divide(Y,X)) != multiply(X,Y)
| double_divide(inverse(multiply(X,Y)),inverse(X_39)) = multiply(X_39,inverse(double_divide(Y,X))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(double_divide(Y,X))),inverse(X_39)),multiply(X_39,inverse(double_divide(Y,X)))) ),[0,0,0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_106,plain,
( double_divide(inverse(inverse(double_divide(Y,X))),inverse(X_39)) != multiply(X_39,inverse(double_divide(Y,X)))
| double_divide(inverse(multiply(X,Y)),inverse(X_39)) = multiply(X_39,inverse(double_divide(Y,X))) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_4,refute_0_105]) ).
cnf(refute_0_107,plain,
double_divide(inverse(multiply(X,Y)),inverse(X_39)) = multiply(X_39,inverse(double_divide(Y,X))),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(double_divide(Y,X))),inverse(X_39)),multiply(X_39,inverse(double_divide(Y,X)))) )],[refute_0_104,refute_0_106]) ).
cnf(refute_0_108,plain,
multiply(X_39,inverse(double_divide(Y,X))) = multiply(X_39,inverse(double_divide(Y,X))),
introduced(tautology,[refl,[$fot(multiply(X_39,inverse(double_divide(Y,X))))]]) ).
cnf(refute_0_109,plain,
( multiply(X_39,inverse(double_divide(Y,X))) != multiply(X_39,inverse(double_divide(Y,X)))
| inverse(double_divide(Y,X)) != multiply(X,Y)
| multiply(X_39,inverse(double_divide(Y,X))) = multiply(X_39,multiply(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,inverse(double_divide(Y,X))),multiply(X_39,inverse(double_divide(Y,X)))) ),[1,1],$fot(multiply(X,Y))]]) ).
cnf(refute_0_110,plain,
( inverse(double_divide(Y,X)) != multiply(X,Y)
| multiply(X_39,inverse(double_divide(Y,X))) = multiply(X_39,multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_39,inverse(double_divide(Y,X))),multiply(X_39,inverse(double_divide(Y,X)))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
multiply(X_39,inverse(double_divide(Y,X))) = multiply(X_39,multiply(X,Y)),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_4,refute_0_110]) ).
cnf(refute_0_112,plain,
( multiply(X_39,inverse(double_divide(Y,X))) != multiply(X_39,multiply(X,Y))
| double_divide(inverse(multiply(X,Y)),inverse(X_39)) != multiply(X_39,inverse(double_divide(Y,X)))
| double_divide(inverse(multiply(X,Y)),inverse(X_39)) = multiply(X_39,multiply(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(X,Y)),inverse(X_39)),multiply(X_39,inverse(double_divide(Y,X)))) ),[1],$fot(multiply(X_39,multiply(X,Y)))]]) ).
cnf(refute_0_113,plain,
( double_divide(inverse(multiply(X,Y)),inverse(X_39)) != multiply(X_39,inverse(double_divide(Y,X)))
| double_divide(inverse(multiply(X,Y)),inverse(X_39)) = multiply(X_39,multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_39,inverse(double_divide(Y,X))),multiply(X_39,multiply(X,Y))) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
double_divide(inverse(multiply(X,Y)),inverse(X_39)) = multiply(X_39,multiply(X,Y)),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X,Y)),inverse(X_39)),multiply(X_39,inverse(double_divide(Y,X)))) )],[refute_0_107,refute_0_113]) ).
cnf(refute_0_115,plain,
double_divide(inverse(multiply(Y,inverse(X_35))),inverse(X_35)) = multiply(X_35,multiply(Y,inverse(X_35))),
inference(subst,[],[refute_0_114:[bind(X,$fot(Y)),bind(Y,$fot(inverse(X_35))),bind(X_39,$fot(X_35))]]) ).
cnf(refute_0_116,plain,
( double_divide(inverse(multiply(Y,inverse(X_35))),inverse(X_35)) != Y
| double_divide(inverse(multiply(Y,inverse(X_35))),inverse(X_35)) != multiply(X_35,multiply(Y,inverse(X_35)))
| multiply(X_35,multiply(Y,inverse(X_35))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(Y,inverse(X_35))),inverse(X_35)),Y) ),[0],$fot(multiply(X_35,multiply(Y,inverse(X_35))))]]) ).
cnf(refute_0_117,plain,
( double_divide(inverse(multiply(Y,inverse(X_35))),inverse(X_35)) != Y
| multiply(X_35,multiply(Y,inverse(X_35))) = Y ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(Y,inverse(X_35))),inverse(X_35)),multiply(X_35,multiply(Y,inverse(X_35)))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
multiply(X_35,multiply(Y,inverse(X_35))) = Y,
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(Y,inverse(X_35))),inverse(X_35)),Y) )],[refute_0_103,refute_0_117]) ).
cnf(refute_0_119,plain,
multiply(X,multiply(multiply(double_divide(inverse(X),X),inverse(X_3)),inverse(X))) = multiply(double_divide(inverse(X),X),inverse(X_3)),
inference(subst,[],[refute_0_118:[bind(Y,$fot(multiply(double_divide(inverse(X),X),inverse(X_3)))),bind(X_35,$fot(X))]]) ).
cnf(refute_0_120,plain,
( multiply(X,multiply(multiply(double_divide(inverse(X),X),inverse(X_3)),inverse(X))) != multiply(double_divide(inverse(X),X),inverse(X_3))
| multiply(X,multiply(multiply(double_divide(inverse(X),X),inverse(X_3)),inverse(X))) != inverse(X_3)
| multiply(double_divide(inverse(X),X),inverse(X_3)) = inverse(X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(double_divide(inverse(X),X),inverse(X_3)),inverse(X))),inverse(X_3)) ),[0],$fot(multiply(double_divide(inverse(X),X),inverse(X_3)))]]) ).
cnf(refute_0_121,plain,
( multiply(X,multiply(multiply(double_divide(inverse(X),X),inverse(X_3)),inverse(X))) != inverse(X_3)
| multiply(double_divide(inverse(X),X),inverse(X_3)) = inverse(X_3) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(double_divide(inverse(X),X),inverse(X_3)),inverse(X))),multiply(double_divide(inverse(X),X),inverse(X_3))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
multiply(double_divide(inverse(X),X),inverse(X_3)) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(double_divide(inverse(X),X),inverse(X_3)),inverse(X))),inverse(X_3)) )],[refute_0_94,refute_0_121]) ).
cnf(refute_0_123,plain,
multiply(double_divide(inverse(X_45),X_45),inverse(X_46)) = inverse(X_46),
inference(subst,[],[refute_0_122:[bind(X,$fot(X_45)),bind(X_3,$fot(X_46))]]) ).
cnf(refute_0_124,plain,
( multiply(double_divide(inverse(X_45),X_45),inverse(X_46)) != inverse(X_46)
| double_divide(multiply(double_divide(inverse(X_45),X_45),inverse(X_46)),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))) != X_16
| double_divide(inverse(X_46),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(inverse(X_45),X_45),inverse(X_46)),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))),X_16) ),[0,0],$fot(inverse(X_46))]]) ).
cnf(refute_0_125,plain,
( double_divide(multiply(double_divide(inverse(X_45),X_45),inverse(X_46)),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))) != X_16
| double_divide(inverse(X_46),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))) = X_16 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_45),X_45),inverse(X_46)),inverse(X_46)) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
double_divide(inverse(X_46),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))) = X_16,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(inverse(X_45),X_45),inverse(X_46)),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))),X_16) )],[refute_0_93,refute_0_125]) ).
cnf(refute_0_127,plain,
inverse(double_divide(inverse(X_45),X_45)) = multiply(X_45,inverse(X_45)),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_45)),bind(Y,$fot(inverse(X_45)))]]) ).
cnf(refute_0_128,plain,
double_divide(inverse(double_divide(inverse(X_45),X_45)),inverse(X_16)) = double_divide(inverse(double_divide(inverse(X_45),X_45)),inverse(X_16)),
introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(inverse(X_45),X_45)),inverse(X_16)))]]) ).
cnf(refute_0_129,plain,
( double_divide(inverse(double_divide(inverse(X_45),X_45)),inverse(X_16)) != double_divide(inverse(double_divide(inverse(X_45),X_45)),inverse(X_16))
| inverse(double_divide(inverse(X_45),X_45)) != multiply(X_45,inverse(X_45))
| double_divide(inverse(double_divide(inverse(X_45),X_45)),inverse(X_16)) = double_divide(multiply(X_45,inverse(X_45)),inverse(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(inverse(X_45),X_45)),inverse(X_16)),double_divide(inverse(double_divide(inverse(X_45),X_45)),inverse(X_16))) ),[1,0],$fot(multiply(X_45,inverse(X_45)))]]) ).
cnf(refute_0_130,plain,
( inverse(double_divide(inverse(X_45),X_45)) != multiply(X_45,inverse(X_45))
| double_divide(inverse(double_divide(inverse(X_45),X_45)),inverse(X_16)) = double_divide(multiply(X_45,inverse(X_45)),inverse(X_16)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(inverse(X_45),X_45)),inverse(X_16)),double_divide(inverse(double_divide(inverse(X_45),X_45)),inverse(X_16))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
double_divide(inverse(double_divide(inverse(X_45),X_45)),inverse(X_16)) = double_divide(multiply(X_45,inverse(X_45)),inverse(X_16)),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_45),X_45)),multiply(X_45,inverse(X_45))) )],[refute_0_127,refute_0_130]) ).
cnf(refute_0_132,plain,
double_divide(inverse(X_46),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))) = double_divide(inverse(double_divide(inverse(X_45),X_45)),inverse(X_16)),
inference(subst,[],[refute_0_80:[bind(X_27,$fot(inverse(X_46))),bind(X_28,$fot(double_divide(inverse(X_45),X_45))),bind(X_3,$fot(X_16))]]) ).
cnf(refute_0_133,plain,
( double_divide(inverse(X_46),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))) != double_divide(inverse(double_divide(inverse(X_45),X_45)),inverse(X_16))
| double_divide(inverse(double_divide(inverse(X_45),X_45)),inverse(X_16)) != double_divide(multiply(X_45,inverse(X_45)),inverse(X_16))
| double_divide(inverse(X_46),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))) = double_divide(multiply(X_45,inverse(X_45)),inverse(X_16)) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(double_divide(inverse(X_46),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))))),bind(Y0,$fot(double_divide(inverse(double_divide(inverse(X_45),X_45)),inverse(X_16)))),bind(Z0,$fot(double_divide(multiply(X_45,inverse(X_45)),inverse(X_16))))]]) ).
cnf(refute_0_134,plain,
( double_divide(inverse(double_divide(inverse(X_45),X_45)),inverse(X_16)) != double_divide(multiply(X_45,inverse(X_45)),inverse(X_16))
| double_divide(inverse(X_46),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))) = double_divide(multiply(X_45,inverse(X_45)),inverse(X_16)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_46),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))),double_divide(inverse(double_divide(inverse(X_45),X_45)),inverse(X_16))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
double_divide(inverse(X_46),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))) = double_divide(multiply(X_45,inverse(X_45)),inverse(X_16)),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(inverse(X_45),X_45)),inverse(X_16)),double_divide(multiply(X_45,inverse(X_45)),inverse(X_16))) )],[refute_0_131,refute_0_134]) ).
cnf(refute_0_136,plain,
( double_divide(inverse(X_46),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))) != X_16
| double_divide(inverse(X_46),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))) != double_divide(multiply(X_45,inverse(X_45)),inverse(X_16))
| double_divide(multiply(X_45,inverse(X_45)),inverse(X_16)) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_46),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))),X_16) ),[0],$fot(double_divide(multiply(X_45,inverse(X_45)),inverse(X_16)))]]) ).
cnf(refute_0_137,plain,
( double_divide(inverse(X_46),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))) != X_16
| double_divide(multiply(X_45,inverse(X_45)),inverse(X_16)) = X_16 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_46),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))),double_divide(multiply(X_45,inverse(X_45)),inverse(X_16))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
double_divide(multiply(X_45,inverse(X_45)),inverse(X_16)) = X_16,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_46),multiply(double_divide(inverse(X_46),double_divide(inverse(X_45),X_45)),inverse(X_16))),X_16) )],[refute_0_126,refute_0_137]) ).
cnf(refute_0_139,plain,
double_divide(multiply(double_divide(Y,X),inverse(double_divide(Y,X))),inverse(X_47)) = X_47,
inference(subst,[],[refute_0_138:[bind(X_16,$fot(X_47)),bind(X_45,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_140,plain,
( double_divide(multiply(double_divide(Y,X),inverse(double_divide(Y,X))),inverse(X_47)) != X_47
| inverse(double_divide(Y,X)) != multiply(X,Y)
| double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47)) = X_47 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(Y,X),inverse(double_divide(Y,X))),inverse(X_47)),X_47) ),[0,0,1],$fot(multiply(X,Y))]]) ).
cnf(refute_0_141,plain,
( double_divide(multiply(double_divide(Y,X),inverse(double_divide(Y,X))),inverse(X_47)) != X_47
| double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47)) = X_47 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_4,refute_0_140]) ).
cnf(refute_0_142,plain,
double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47)) = X_47,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(Y,X),inverse(double_divide(Y,X))),inverse(X_47)),X_47) )],[refute_0_139,refute_0_141]) ).
cnf(refute_0_143,plain,
multiply(X,multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7)) = inverse(double_divide(multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7),X)),
inference(subst,[],[multiply:[bind(Y,$fot(multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7)))]]) ).
cnf(refute_0_144,plain,
double_divide(multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7),X) = double_divide(X_6,X_5),
inference(subst,[],[refute_0_60:[bind(X,$fot(X_5)),bind(Y,$fot(X_6)),bind(X_2,$fot(X_7)),bind(X_4,$fot(X))]]) ).
cnf(refute_0_145,plain,
( multiply(X,multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7)) != inverse(double_divide(multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7),X))
| double_divide(multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7),X) != double_divide(X_6,X_5)
| multiply(X,multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7)) = inverse(double_divide(X_6,X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7)),inverse(double_divide(multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7),X))) ),[1,0],$fot(double_divide(X_6,X_5))]]) ).
cnf(refute_0_146,plain,
( multiply(X,multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7)) != inverse(double_divide(multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7),X))
| multiply(X,multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7)) = inverse(double_divide(X_6,X_5)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7),X),double_divide(X_6,X_5)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
multiply(X,multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7)) = inverse(double_divide(X_6,X_5)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7)),inverse(double_divide(multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7),X))) )],[refute_0_143,refute_0_146]) ).
cnf(refute_0_148,plain,
inverse(double_divide(X_6,X_5)) = multiply(X_5,X_6),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_5)),bind(Y,$fot(X_6))]]) ).
cnf(refute_0_149,plain,
( multiply(X,multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7)) != inverse(double_divide(X_6,X_5))
| inverse(double_divide(X_6,X_5)) != multiply(X_5,X_6)
| multiply(X,multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7)) = multiply(X_5,X_6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7)),multiply(X_5,X_6)) ),[0],$fot(inverse(double_divide(X_6,X_5)))]]) ).
cnf(refute_0_150,plain,
( multiply(X,multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7)) != inverse(double_divide(X_6,X_5))
| multiply(X,multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7)) = multiply(X_5,X_6) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_6,X_5)),multiply(X_5,X_6)) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
multiply(X,multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7)) = multiply(X_5,X_6),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(double_divide(X_7,X),multiply(X_5,X_6)),X_7)),inverse(double_divide(X_6,X_5))) )],[refute_0_147,refute_0_150]) ).
cnf(refute_0_152,plain,
multiply(X,multiply(multiply(double_divide(X_7,X),multiply(X_5,inverse(double_divide(X_7,X)))),X_7)) = multiply(X_5,inverse(double_divide(X_7,X))),
inference(subst,[],[refute_0_151:[bind(X_6,$fot(inverse(double_divide(X_7,X))))]]) ).
cnf(refute_0_153,plain,
multiply(double_divide(X_7,X),multiply(X_5,inverse(double_divide(X_7,X)))) = X_5,
inference(subst,[],[refute_0_118:[bind(Y,$fot(X_5)),bind(X_35,$fot(double_divide(X_7,X)))]]) ).
cnf(refute_0_154,plain,
( multiply(X,multiply(multiply(double_divide(X_7,X),multiply(X_5,inverse(double_divide(X_7,X)))),X_7)) != multiply(X_5,inverse(double_divide(X_7,X)))
| multiply(double_divide(X_7,X),multiply(X_5,inverse(double_divide(X_7,X)))) != X_5
| multiply(X,multiply(X_5,X_7)) = multiply(X_5,inverse(double_divide(X_7,X))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(double_divide(X_7,X),multiply(X_5,inverse(double_divide(X_7,X)))),X_7)),multiply(X_5,inverse(double_divide(X_7,X)))) ),[0,1,0],$fot(X_5)]]) ).
cnf(refute_0_155,plain,
( multiply(X,multiply(multiply(double_divide(X_7,X),multiply(X_5,inverse(double_divide(X_7,X)))),X_7)) != multiply(X_5,inverse(double_divide(X_7,X)))
| multiply(X,multiply(X_5,X_7)) = multiply(X_5,inverse(double_divide(X_7,X))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_7,X),multiply(X_5,inverse(double_divide(X_7,X)))),X_5) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
multiply(X,multiply(X_5,X_7)) = multiply(X_5,inverse(double_divide(X_7,X))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(double_divide(X_7,X),multiply(X_5,inverse(double_divide(X_7,X)))),X_7)),multiply(X_5,inverse(double_divide(X_7,X)))) )],[refute_0_152,refute_0_155]) ).
cnf(refute_0_157,plain,
inverse(double_divide(X_7,X)) = multiply(X,X_7),
inference(subst,[],[refute_0_4:[bind(Y,$fot(X_7))]]) ).
cnf(refute_0_158,plain,
multiply(X_5,inverse(double_divide(X_7,X))) = multiply(X_5,inverse(double_divide(X_7,X))),
introduced(tautology,[refl,[$fot(multiply(X_5,inverse(double_divide(X_7,X))))]]) ).
cnf(refute_0_159,plain,
( multiply(X_5,inverse(double_divide(X_7,X))) != multiply(X_5,inverse(double_divide(X_7,X)))
| inverse(double_divide(X_7,X)) != multiply(X,X_7)
| multiply(X_5,inverse(double_divide(X_7,X))) = multiply(X_5,multiply(X,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_5,inverse(double_divide(X_7,X))),multiply(X_5,inverse(double_divide(X_7,X)))) ),[1,1],$fot(multiply(X,X_7))]]) ).
cnf(refute_0_160,plain,
( inverse(double_divide(X_7,X)) != multiply(X,X_7)
| multiply(X_5,inverse(double_divide(X_7,X))) = multiply(X_5,multiply(X,X_7)) ),
inference(resolve,[$cnf( $equal(multiply(X_5,inverse(double_divide(X_7,X))),multiply(X_5,inverse(double_divide(X_7,X)))) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
multiply(X_5,inverse(double_divide(X_7,X))) = multiply(X_5,multiply(X,X_7)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_7,X)),multiply(X,X_7)) )],[refute_0_157,refute_0_160]) ).
cnf(refute_0_162,plain,
( multiply(X,multiply(X_5,X_7)) != multiply(X_5,inverse(double_divide(X_7,X)))
| multiply(X_5,inverse(double_divide(X_7,X))) != multiply(X_5,multiply(X,X_7))
| multiply(X,multiply(X_5,X_7)) = multiply(X_5,multiply(X,X_7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,multiply(X_5,X_7)),multiply(X_5,multiply(X,X_7))) ),[0],$fot(multiply(X_5,inverse(double_divide(X_7,X))))]]) ).
cnf(refute_0_163,plain,
( multiply(X,multiply(X_5,X_7)) != multiply(X_5,inverse(double_divide(X_7,X)))
| multiply(X,multiply(X_5,X_7)) = multiply(X_5,multiply(X,X_7)) ),
inference(resolve,[$cnf( $equal(multiply(X_5,inverse(double_divide(X_7,X))),multiply(X_5,multiply(X,X_7))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
multiply(X,multiply(X_5,X_7)) = multiply(X_5,multiply(X,X_7)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_5,X_7)),multiply(X_5,inverse(double_divide(X_7,X)))) )],[refute_0_156,refute_0_163]) ).
cnf(refute_0_165,plain,
( multiply(X,multiply(X_5,X_7)) != multiply(X_5,multiply(X,X_7))
| multiply(X_5,multiply(X,X_7)) = multiply(X,multiply(X_5,X_7)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,multiply(X_5,X_7)))),bind(Y0,$fot(multiply(X_5,multiply(X,X_7))))]]) ).
cnf(refute_0_166,plain,
multiply(X_5,multiply(X,X_7)) = multiply(X,multiply(X_5,X_7)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_5,X_7)),multiply(X_5,multiply(X,X_7))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
multiply(double_divide(Y,X),multiply(X,Y)) = multiply(X,multiply(double_divide(Y,X),Y)),
inference(subst,[],[refute_0_166:[bind(X_5,$fot(double_divide(Y,X))),bind(X_7,$fot(Y))]]) ).
cnf(refute_0_168,plain,
double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47)) = double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47)),
introduced(tautology,[refl,[$fot(double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47)))]]) ).
cnf(refute_0_169,plain,
( multiply(double_divide(Y,X),multiply(X,Y)) != multiply(X,multiply(double_divide(Y,X),Y))
| double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47)) != double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47))
| double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47)) = double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47)),double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47))) ),[1,0],$fot(multiply(X,multiply(double_divide(Y,X),Y)))]]) ).
cnf(refute_0_170,plain,
( multiply(double_divide(Y,X),multiply(X,Y)) != multiply(X,multiply(double_divide(Y,X),Y))
| double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47)) = double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47)),double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47)) = double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)),
inference(resolve,[$cnf( $equal(multiply(double_divide(Y,X),multiply(X,Y)),multiply(X,multiply(double_divide(Y,X),Y))) )],[refute_0_167,refute_0_170]) ).
cnf(refute_0_172,plain,
( double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47)) != X_47
| double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47)) != double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47))
| double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)) = X_47 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47)),X_47) ),[0],$fot(double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)))]]) ).
cnf(refute_0_173,plain,
( double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47)) != X_47
| double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)) = X_47 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47)),double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)) = X_47,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(Y,X),multiply(X,Y)),inverse(X_47)),X_47) )],[refute_0_142,refute_0_173]) ).
cnf(refute_0_175,plain,
double_divide(inverse(X_17),multiply(X_17,multiply(double_divide(Y,X_17),Y))) = double_divide(Y,double_divide(Y,X_17)),
inference(subst,[],[refute_0_73:[bind(X,$fot(double_divide(Y,X_17)))]]) ).
cnf(refute_0_176,plain,
double_divide(multiply(multiply(X_17,inverse(Y)),inverse(X_17)),multiply(X_17,inverse(X_17))) = Y,
inference(subst,[],[refute_0_42:[bind(X_16,$fot(X_17))]]) ).
cnf(refute_0_177,plain,
multiply(multiply(X_17,inverse(Y)),inverse(X_17)) = inverse(Y),
inference(subst,[],[refute_0_47:[bind(X_16,$fot(Y))]]) ).
cnf(refute_0_178,plain,
( multiply(multiply(X_17,inverse(Y)),inverse(X_17)) != inverse(Y)
| double_divide(multiply(multiply(X_17,inverse(Y)),inverse(X_17)),multiply(X_17,inverse(X_17))) != Y
| double_divide(inverse(Y),multiply(X_17,inverse(X_17))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_17,inverse(Y)),inverse(X_17)),multiply(X_17,inverse(X_17))),Y) ),[0,0],$fot(inverse(Y))]]) ).
cnf(refute_0_179,plain,
( double_divide(multiply(multiply(X_17,inverse(Y)),inverse(X_17)),multiply(X_17,inverse(X_17))) != Y
| double_divide(inverse(Y),multiply(X_17,inverse(X_17))) = Y ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_17,inverse(Y)),inverse(X_17)),inverse(Y)) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
double_divide(inverse(Y),multiply(X_17,inverse(X_17))) = Y,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_17,inverse(Y)),inverse(X_17)),multiply(X_17,inverse(X_17))),Y) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
double_divide(inverse(X_41),multiply(double_divide(Y,X),inverse(double_divide(Y,X)))) = X_41,
inference(subst,[],[refute_0_180:[bind(Y,$fot(X_41)),bind(X_17,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_182,plain,
( double_divide(inverse(X_41),multiply(double_divide(Y,X),inverse(double_divide(Y,X)))) != X_41
| inverse(double_divide(Y,X)) != multiply(X,Y)
| double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y))) = X_41 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_41),multiply(double_divide(Y,X),inverse(double_divide(Y,X)))),X_41) ),[0,1,1],$fot(multiply(X,Y))]]) ).
cnf(refute_0_183,plain,
( double_divide(inverse(X_41),multiply(double_divide(Y,X),inverse(double_divide(Y,X)))) != X_41
| double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y))) = X_41 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_4,refute_0_182]) ).
cnf(refute_0_184,plain,
double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y))) = X_41,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_41),multiply(double_divide(Y,X),inverse(double_divide(Y,X)))),X_41) )],[refute_0_181,refute_0_183]) ).
cnf(refute_0_185,plain,
double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y))) = double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y))))]]) ).
cnf(refute_0_186,plain,
( multiply(double_divide(Y,X),multiply(X,Y)) != multiply(X,multiply(double_divide(Y,X),Y))
| double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y))) != double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y)))
| double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y))) = double_divide(inverse(X_41),multiply(X,multiply(double_divide(Y,X),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y))),double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y)))) ),[1,1],$fot(multiply(X,multiply(double_divide(Y,X),Y)))]]) ).
cnf(refute_0_187,plain,
( multiply(double_divide(Y,X),multiply(X,Y)) != multiply(X,multiply(double_divide(Y,X),Y))
| double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y))) = double_divide(inverse(X_41),multiply(X,multiply(double_divide(Y,X),Y))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y))),double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y)))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y))) = double_divide(inverse(X_41),multiply(X,multiply(double_divide(Y,X),Y))),
inference(resolve,[$cnf( $equal(multiply(double_divide(Y,X),multiply(X,Y)),multiply(X,multiply(double_divide(Y,X),Y))) )],[refute_0_167,refute_0_187]) ).
cnf(refute_0_189,plain,
( double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y))) != X_41
| double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y))) != double_divide(inverse(X_41),multiply(X,multiply(double_divide(Y,X),Y)))
| double_divide(inverse(X_41),multiply(X,multiply(double_divide(Y,X),Y))) = X_41 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y))),X_41) ),[0],$fot(double_divide(inverse(X_41),multiply(X,multiply(double_divide(Y,X),Y))))]]) ).
cnf(refute_0_190,plain,
( double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y))) != X_41
| double_divide(inverse(X_41),multiply(X,multiply(double_divide(Y,X),Y))) = X_41 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y))),double_divide(inverse(X_41),multiply(X,multiply(double_divide(Y,X),Y)))) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
double_divide(inverse(X_41),multiply(X,multiply(double_divide(Y,X),Y))) = X_41,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_41),multiply(double_divide(Y,X),multiply(X,Y))),X_41) )],[refute_0_184,refute_0_190]) ).
cnf(refute_0_192,plain,
double_divide(inverse(X_17),multiply(X_17,multiply(double_divide(Y,X_17),Y))) = X_17,
inference(subst,[],[refute_0_191:[bind(X,$fot(X_17)),bind(X_41,$fot(X_17))]]) ).
cnf(refute_0_193,plain,
( double_divide(inverse(X_17),multiply(X_17,multiply(double_divide(Y,X_17),Y))) != X_17
| double_divide(inverse(X_17),multiply(X_17,multiply(double_divide(Y,X_17),Y))) != double_divide(Y,double_divide(Y,X_17))
| X_17 = double_divide(Y,double_divide(Y,X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,multiply(double_divide(Y,X_17),Y))),double_divide(Y,double_divide(Y,X_17))) ),[0],$fot(X_17)]]) ).
cnf(refute_0_194,plain,
( double_divide(inverse(X_17),multiply(X_17,multiply(double_divide(Y,X_17),Y))) != double_divide(Y,double_divide(Y,X_17))
| X_17 = double_divide(Y,double_divide(Y,X_17)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,multiply(double_divide(Y,X_17),Y))),X_17) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
X_17 = double_divide(Y,double_divide(Y,X_17)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,multiply(double_divide(Y,X_17),Y))),double_divide(Y,double_divide(Y,X_17))) )],[refute_0_175,refute_0_194]) ).
cnf(refute_0_196,plain,
inverse(X_16) = double_divide(multiply(X_45,inverse(X_45)),double_divide(multiply(X_45,inverse(X_45)),inverse(X_16))),
inference(subst,[],[refute_0_195:[bind(Y,$fot(multiply(X_45,inverse(X_45)))),bind(X_17,$fot(inverse(X_16)))]]) ).
cnf(refute_0_197,plain,
( double_divide(multiply(X_45,inverse(X_45)),inverse(X_16)) != X_16
| inverse(X_16) != double_divide(multiply(X_45,inverse(X_45)),double_divide(multiply(X_45,inverse(X_45)),inverse(X_16)))
| inverse(X_16) = double_divide(multiply(X_45,inverse(X_45)),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_16),double_divide(multiply(X_45,inverse(X_45)),double_divide(multiply(X_45,inverse(X_45)),inverse(X_16)))) ),[1,1],$fot(X_16)]]) ).
cnf(refute_0_198,plain,
( inverse(X_16) != double_divide(multiply(X_45,inverse(X_45)),double_divide(multiply(X_45,inverse(X_45)),inverse(X_16)))
| inverse(X_16) = double_divide(multiply(X_45,inverse(X_45)),X_16) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_45,inverse(X_45)),inverse(X_16)),X_16) )],[refute_0_138,refute_0_197]) ).
cnf(refute_0_199,plain,
inverse(X_16) = double_divide(multiply(X_45,inverse(X_45)),X_16),
inference(resolve,[$cnf( $equal(inverse(X_16),double_divide(multiply(X_45,inverse(X_45)),double_divide(multiply(X_45,inverse(X_45)),inverse(X_16)))) )],[refute_0_196,refute_0_198]) ).
cnf(refute_0_200,plain,
( inverse(X_16) != double_divide(multiply(X_45,inverse(X_45)),X_16)
| double_divide(multiply(X_45,inverse(X_45)),X_16) = inverse(X_16) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_16))),bind(Y0,$fot(double_divide(multiply(X_45,inverse(X_45)),X_16)))]]) ).
cnf(refute_0_201,plain,
double_divide(multiply(X_45,inverse(X_45)),X_16) = inverse(X_16),
inference(resolve,[$cnf( $equal(inverse(X_16),double_divide(multiply(X_45,inverse(X_45)),X_16)) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
double_divide(multiply(X,inverse(X)),inverse(X_47)) = inverse(inverse(X_47)),
inference(subst,[],[refute_0_201:[bind(X_16,$fot(inverse(X_47))),bind(X_45,$fot(X))]]) ).
cnf(refute_0_203,plain,
multiply(double_divide(Y,X_71),Y) = inverse(double_divide(Y,double_divide(Y,X_71))),
inference(subst,[],[multiply:[bind(X,$fot(double_divide(Y,X_71)))]]) ).
cnf(refute_0_204,plain,
X_71 = double_divide(Y,double_divide(Y,X_71)),
inference(subst,[],[refute_0_195:[bind(X_17,$fot(X_71))]]) ).
cnf(refute_0_205,plain,
( X_71 != double_divide(Y,double_divide(Y,X_71))
| double_divide(Y,double_divide(Y,X_71)) = X_71 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_71)),bind(Y0,$fot(double_divide(Y,double_divide(Y,X_71))))]]) ).
cnf(refute_0_206,plain,
double_divide(Y,double_divide(Y,X_71)) = X_71,
inference(resolve,[$cnf( $equal(X_71,double_divide(Y,double_divide(Y,X_71))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
( multiply(double_divide(Y,X_71),Y) != inverse(double_divide(Y,double_divide(Y,X_71)))
| double_divide(Y,double_divide(Y,X_71)) != X_71
| multiply(double_divide(Y,X_71),Y) = inverse(X_71) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(Y,X_71),Y),inverse(double_divide(Y,double_divide(Y,X_71)))) ),[1,0],$fot(X_71)]]) ).
cnf(refute_0_208,plain,
( multiply(double_divide(Y,X_71),Y) != inverse(double_divide(Y,double_divide(Y,X_71)))
| multiply(double_divide(Y,X_71),Y) = inverse(X_71) ),
inference(resolve,[$cnf( $equal(double_divide(Y,double_divide(Y,X_71)),X_71) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
multiply(double_divide(Y,X_71),Y) = inverse(X_71),
inference(resolve,[$cnf( $equal(multiply(double_divide(Y,X_71),Y),inverse(double_divide(Y,double_divide(Y,X_71)))) )],[refute_0_203,refute_0_208]) ).
cnf(refute_0_210,plain,
multiply(double_divide(Y,X),Y) = inverse(X),
inference(subst,[],[refute_0_209:[bind(X_71,$fot(X))]]) ).
cnf(refute_0_211,plain,
multiply(X,multiply(double_divide(Y,X),Y)) = multiply(X,multiply(double_divide(Y,X),Y)),
introduced(tautology,[refl,[$fot(multiply(X,multiply(double_divide(Y,X),Y)))]]) ).
cnf(refute_0_212,plain,
( multiply(X,multiply(double_divide(Y,X),Y)) != multiply(X,multiply(double_divide(Y,X),Y))
| multiply(double_divide(Y,X),Y) != inverse(X)
| multiply(X,multiply(double_divide(Y,X),Y)) = multiply(X,inverse(X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(double_divide(Y,X),Y)),multiply(X,multiply(double_divide(Y,X),Y))) ),[1,1],$fot(inverse(X))]]) ).
cnf(refute_0_213,plain,
( multiply(double_divide(Y,X),Y) != inverse(X)
| multiply(X,multiply(double_divide(Y,X),Y)) = multiply(X,inverse(X)) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(double_divide(Y,X),Y)),multiply(X,multiply(double_divide(Y,X),Y))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
multiply(X,multiply(double_divide(Y,X),Y)) = multiply(X,inverse(X)),
inference(resolve,[$cnf( $equal(multiply(double_divide(Y,X),Y),inverse(X)) )],[refute_0_210,refute_0_213]) ).
cnf(refute_0_215,plain,
double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)) = double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)),
introduced(tautology,[refl,[$fot(double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)))]]) ).
cnf(refute_0_216,plain,
( multiply(X,multiply(double_divide(Y,X),Y)) != multiply(X,inverse(X))
| double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)) != double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47))
| double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)) = double_divide(multiply(X,inverse(X)),inverse(X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)),double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47))) ),[1,0],$fot(multiply(X,inverse(X)))]]) ).
cnf(refute_0_217,plain,
( multiply(X,multiply(double_divide(Y,X),Y)) != multiply(X,inverse(X))
| double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)) = double_divide(multiply(X,inverse(X)),inverse(X_47)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)),double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47))) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)) = double_divide(multiply(X,inverse(X)),inverse(X_47)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(double_divide(Y,X),Y)),multiply(X,inverse(X))) )],[refute_0_214,refute_0_217]) ).
cnf(refute_0_219,plain,
( double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)) != double_divide(multiply(X,inverse(X)),inverse(X_47))
| double_divide(multiply(X,inverse(X)),inverse(X_47)) != inverse(inverse(X_47))
| double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)) = inverse(inverse(X_47)) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)))),bind(Y0,$fot(double_divide(multiply(X,inverse(X)),inverse(X_47)))),bind(Z0,$fot(inverse(inverse(X_47))))]]) ).
cnf(refute_0_220,plain,
( double_divide(multiply(X,inverse(X)),inverse(X_47)) != inverse(inverse(X_47))
| double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)) = inverse(inverse(X_47)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)),double_divide(multiply(X,inverse(X)),inverse(X_47))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)) = inverse(inverse(X_47)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X,inverse(X)),inverse(X_47)),inverse(inverse(X_47))) )],[refute_0_202,refute_0_220]) ).
cnf(refute_0_222,plain,
( double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)) != X_47
| double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)) != inverse(inverse(X_47))
| inverse(inverse(X_47)) = X_47 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)),X_47) ),[0],$fot(inverse(inverse(X_47)))]]) ).
cnf(refute_0_223,plain,
( double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)) != X_47
| inverse(inverse(X_47)) = X_47 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)),inverse(inverse(X_47))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
inverse(inverse(X_47)) = X_47,
inference(resolve,[$cnf( $equal(double_divide(multiply(X,multiply(double_divide(Y,X),Y)),inverse(X_47)),X_47) )],[refute_0_174,refute_0_223]) ).
cnf(refute_0_225,plain,
inverse(inverse(X_37)) = X_37,
inference(subst,[],[refute_0_224:[bind(X_47,$fot(X_37))]]) ).
cnf(refute_0_226,plain,
multiply(inverse(X_38),inverse(inverse(X_37))) = multiply(inverse(X_38),inverse(inverse(X_37))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_38),inverse(inverse(X_37))))]]) ).
cnf(refute_0_227,plain,
( multiply(inverse(X_38),inverse(inverse(X_37))) != multiply(inverse(X_38),inverse(inverse(X_37)))
| inverse(inverse(X_37)) != X_37
| multiply(inverse(X_38),inverse(inverse(X_37))) = multiply(inverse(X_38),X_37) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_38),inverse(inverse(X_37))),multiply(inverse(X_38),inverse(inverse(X_37)))) ),[1,1],$fot(X_37)]]) ).
cnf(refute_0_228,plain,
( inverse(inverse(X_37)) != X_37
| multiply(inverse(X_38),inverse(inverse(X_37))) = multiply(inverse(X_38),X_37) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_38),inverse(inverse(X_37))),multiply(inverse(X_38),inverse(inverse(X_37)))) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
multiply(inverse(X_38),inverse(inverse(X_37))) = multiply(inverse(X_38),X_37),
inference(resolve,[$cnf( $equal(inverse(inverse(X_37)),X_37) )],[refute_0_225,refute_0_228]) ).
cnf(refute_0_230,plain,
multiply(X_15,inverse(X_12)) = double_divide(inverse(X_15),double_divide(inverse(X_15),multiply(X_15,inverse(X_12)))),
inference(subst,[],[refute_0_195:[bind(Y,$fot(inverse(X_15))),bind(X_17,$fot(multiply(X_15,inverse(X_12))))]]) ).
cnf(refute_0_231,plain,
( multiply(X_15,inverse(X_12)) != double_divide(inverse(X_15),double_divide(inverse(X_15),multiply(X_15,inverse(X_12))))
| double_divide(inverse(X_15),multiply(X_15,inverse(X_12))) != X_12
| multiply(X_15,inverse(X_12)) = double_divide(inverse(X_15),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,inverse(X_12)),double_divide(inverse(X_15),double_divide(inverse(X_15),multiply(X_15,inverse(X_12))))) ),[1,1],$fot(X_12)]]) ).
cnf(refute_0_232,plain,
( multiply(X_15,inverse(X_12)) != double_divide(inverse(X_15),double_divide(inverse(X_15),multiply(X_15,inverse(X_12))))
| multiply(X_15,inverse(X_12)) = double_divide(inverse(X_15),X_12) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),multiply(X_15,inverse(X_12))),X_12) )],[refute_0_38,refute_0_231]) ).
cnf(refute_0_233,plain,
multiply(X_15,inverse(X_12)) = double_divide(inverse(X_15),X_12),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(X_12)),double_divide(inverse(X_15),double_divide(inverse(X_15),multiply(X_15,inverse(X_12))))) )],[refute_0_230,refute_0_232]) ).
cnf(refute_0_234,plain,
( multiply(X_15,inverse(X_12)) != double_divide(inverse(X_15),X_12)
| double_divide(inverse(X_15),X_12) = multiply(X_15,inverse(X_12)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_15,inverse(X_12)))),bind(Y0,$fot(double_divide(inverse(X_15),X_12)))]]) ).
cnf(refute_0_235,plain,
double_divide(inverse(X_15),X_12) = multiply(X_15,inverse(X_12)),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(X_12)),double_divide(inverse(X_15),X_12)) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
double_divide(inverse(inverse(X_38)),inverse(X_37)) = multiply(inverse(X_38),inverse(inverse(X_37))),
inference(subst,[],[refute_0_235:[bind(X_12,$fot(inverse(X_37))),bind(X_15,$fot(inverse(X_38)))]]) ).
cnf(refute_0_237,plain,
( multiply(inverse(X_38),inverse(inverse(X_37))) != multiply(inverse(X_38),X_37)
| double_divide(inverse(inverse(X_38)),inverse(X_37)) != multiply(inverse(X_38),inverse(inverse(X_37)))
| double_divide(inverse(inverse(X_38)),inverse(X_37)) = multiply(inverse(X_38),X_37) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(double_divide(inverse(inverse(X_38)),inverse(X_37)))),bind(Y0,$fot(multiply(inverse(X_38),inverse(inverse(X_37))))),bind(Z0,$fot(multiply(inverse(X_38),X_37)))]]) ).
cnf(refute_0_238,plain,
( multiply(inverse(X_38),inverse(inverse(X_37))) != multiply(inverse(X_38),X_37)
| double_divide(inverse(inverse(X_38)),inverse(X_37)) = multiply(inverse(X_38),X_37) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_38)),inverse(X_37)),multiply(inverse(X_38),inverse(inverse(X_37)))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
double_divide(inverse(inverse(X_38)),inverse(X_37)) = multiply(inverse(X_38),X_37),
inference(resolve,[$cnf( $equal(multiply(inverse(X_38),inverse(inverse(X_37))),multiply(inverse(X_38),X_37)) )],[refute_0_229,refute_0_238]) ).
cnf(refute_0_240,plain,
( double_divide(inverse(inverse(X_38)),inverse(X_37)) != multiply(X_37,inverse(X_38))
| double_divide(inverse(inverse(X_38)),inverse(X_37)) != multiply(inverse(X_38),X_37)
| multiply(inverse(X_38),X_37) = multiply(X_37,inverse(X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_38)),inverse(X_37)),multiply(X_37,inverse(X_38))) ),[0],$fot(multiply(inverse(X_38),X_37))]]) ).
cnf(refute_0_241,plain,
( double_divide(inverse(inverse(X_38)),inverse(X_37)) != multiply(X_37,inverse(X_38))
| multiply(inverse(X_38),X_37) = multiply(X_37,inverse(X_38)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_38)),inverse(X_37)),multiply(inverse(X_38),X_37)) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
multiply(inverse(X_38),X_37) = multiply(X_37,inverse(X_38)),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_38)),inverse(X_37)),multiply(X_37,inverse(X_38))) )],[refute_0_88,refute_0_241]) ).
cnf(refute_0_243,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(subst,[],[refute_0_242:[bind(X_37,$fot(a1)),bind(X_38,$fot(a1))]]) ).
cnf(refute_0_244,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) != multiply(a1,inverse(a1))
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) ),[1],$fot(multiply(inverse(b1),b1))]]) ).
cnf(refute_0_245,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
multiply(inverse(b1),b1) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_242:[bind(X_37,$fot(b1)),bind(X_38,$fot(b1))]]) ).
cnf(refute_0_247,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(inverse(b1),b1) != multiply(b1,inverse(b1))
| multiply(a1,inverse(a1)) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a1,inverse(a1)),multiply(inverse(b1),b1)) ),[1],$fot(multiply(b1,inverse(b1)))]]) ).
cnf(refute_0_248,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(a1,inverse(a1)) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),multiply(b1,inverse(b1))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),multiply(inverse(b1),b1)) )],[refute_0_248,refute_0_245]) ).
cnf(refute_0_250,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_249,prove_these_axioms]) ).
cnf(refute_0_251,plain,
multiply(X_35,multiply(X_35,inverse(X_35))) = X_35,
inference(subst,[],[refute_0_118:[bind(Y,$fot(X_35))]]) ).
cnf(refute_0_252,plain,
multiply(X_35,multiply(double_divide(inverse(X_45),X_45),inverse(X_35))) = double_divide(inverse(X_45),X_45),
inference(subst,[],[refute_0_118:[bind(Y,$fot(double_divide(inverse(X_45),X_45)))]]) ).
cnf(refute_0_253,plain,
multiply(double_divide(inverse(X_45),X_45),inverse(X_35)) = inverse(X_35),
inference(subst,[],[refute_0_122:[bind(X,$fot(X_45)),bind(X_3,$fot(X_35))]]) ).
cnf(refute_0_254,plain,
( multiply(X_35,multiply(double_divide(inverse(X_45),X_45),inverse(X_35))) != double_divide(inverse(X_45),X_45)
| multiply(double_divide(inverse(X_45),X_45),inverse(X_35)) != inverse(X_35)
| multiply(X_35,inverse(X_35)) = double_divide(inverse(X_45),X_45) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_35,multiply(double_divide(inverse(X_45),X_45),inverse(X_35))),double_divide(inverse(X_45),X_45)) ),[0,1],$fot(inverse(X_35))]]) ).
cnf(refute_0_255,plain,
( multiply(X_35,multiply(double_divide(inverse(X_45),X_45),inverse(X_35))) != double_divide(inverse(X_45),X_45)
| multiply(X_35,inverse(X_35)) = double_divide(inverse(X_45),X_45) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_45),X_45),inverse(X_35)),inverse(X_35)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
multiply(X_35,inverse(X_35)) = double_divide(inverse(X_45),X_45),
inference(resolve,[$cnf( $equal(multiply(X_35,multiply(double_divide(inverse(X_45),X_45),inverse(X_35))),double_divide(inverse(X_45),X_45)) )],[refute_0_252,refute_0_255]) ).
cnf(refute_0_257,plain,
multiply(X_35,inverse(X_35)) = double_divide(inverse(X_52),X_52),
inference(subst,[],[refute_0_256:[bind(X_45,$fot(X_52))]]) ).
cnf(refute_0_258,plain,
( multiply(X_35,multiply(X_35,inverse(X_35))) != X_35
| multiply(X_35,inverse(X_35)) != double_divide(inverse(X_52),X_52)
| multiply(X_35,double_divide(inverse(X_52),X_52)) = X_35 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_35,multiply(X_35,inverse(X_35))),X_35) ),[0,1],$fot(double_divide(inverse(X_52),X_52))]]) ).
cnf(refute_0_259,plain,
( multiply(X_35,multiply(X_35,inverse(X_35))) != X_35
| multiply(X_35,double_divide(inverse(X_52),X_52)) = X_35 ),
inference(resolve,[$cnf( $equal(multiply(X_35,inverse(X_35)),double_divide(inverse(X_52),X_52)) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
multiply(X_35,double_divide(inverse(X_52),X_52)) = X_35,
inference(resolve,[$cnf( $equal(multiply(X_35,multiply(X_35,inverse(X_35))),X_35) )],[refute_0_251,refute_0_259]) ).
cnf(refute_0_261,plain,
multiply(X_53,double_divide(inverse(inverse(X_38)),inverse(X_38))) = X_53,
inference(subst,[],[refute_0_260:[bind(X_35,$fot(X_53)),bind(X_52,$fot(inverse(X_38)))]]) ).
cnf(refute_0_262,plain,
double_divide(inverse(inverse(X_38)),inverse(X_38)) = multiply(X_38,inverse(X_38)),
inference(subst,[],[refute_0_88:[bind(X_37,$fot(X_38))]]) ).
cnf(refute_0_263,plain,
( multiply(X_53,double_divide(inverse(inverse(X_38)),inverse(X_38))) != X_53
| double_divide(inverse(inverse(X_38)),inverse(X_38)) != multiply(X_38,inverse(X_38))
| multiply(X_53,multiply(X_38,inverse(X_38))) = X_53 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_53,double_divide(inverse(inverse(X_38)),inverse(X_38))),X_53) ),[0,1],$fot(multiply(X_38,inverse(X_38)))]]) ).
cnf(refute_0_264,plain,
( multiply(X_53,double_divide(inverse(inverse(X_38)),inverse(X_38))) != X_53
| multiply(X_53,multiply(X_38,inverse(X_38))) = X_53 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_38)),inverse(X_38)),multiply(X_38,inverse(X_38))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
multiply(X_53,multiply(X_38,inverse(X_38))) = X_53,
inference(resolve,[$cnf( $equal(multiply(X_53,double_divide(inverse(inverse(X_38)),inverse(X_38))),X_53) )],[refute_0_261,refute_0_264]) ).
cnf(refute_0_266,plain,
multiply(a2,multiply(b2,inverse(b2))) = a2,
inference(subst,[],[refute_0_265:[bind(X_38,$fot(b2)),bind(X_53,$fot(a2))]]) ).
cnf(refute_0_267,plain,
multiply(inverse(b2),b2) = multiply(b2,inverse(b2)),
inference(subst,[],[refute_0_242:[bind(X_37,$fot(b2)),bind(X_38,$fot(b2))]]) ).
cnf(refute_0_268,plain,
multiply(a2,multiply(inverse(b2),b2)) = multiply(a2,multiply(inverse(b2),b2)),
introduced(tautology,[refl,[$fot(multiply(a2,multiply(inverse(b2),b2)))]]) ).
cnf(refute_0_269,plain,
( multiply(a2,multiply(inverse(b2),b2)) != multiply(a2,multiply(inverse(b2),b2))
| multiply(inverse(b2),b2) != multiply(b2,inverse(b2))
| multiply(a2,multiply(inverse(b2),b2)) = multiply(a2,multiply(b2,inverse(b2))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a2,multiply(inverse(b2),b2)),multiply(a2,multiply(inverse(b2),b2))) ),[1,1],$fot(multiply(b2,inverse(b2)))]]) ).
cnf(refute_0_270,plain,
( multiply(inverse(b2),b2) != multiply(b2,inverse(b2))
| multiply(a2,multiply(inverse(b2),b2)) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(inverse(b2),b2)),multiply(a2,multiply(inverse(b2),b2))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
multiply(a2,multiply(inverse(b2),b2)) = multiply(a2,multiply(b2,inverse(b2))),
inference(resolve,[$cnf( $equal(multiply(inverse(b2),b2),multiply(b2,inverse(b2))) )],[refute_0_267,refute_0_270]) ).
cnf(refute_0_272,plain,
( multiply(a2,multiply(b2,inverse(b2))) != a2
| multiply(a2,multiply(inverse(b2),b2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(a2,multiply(inverse(b2),b2)) = a2 ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(multiply(a2,multiply(inverse(b2),b2)))),bind(Y0,$fot(multiply(a2,multiply(b2,inverse(b2))))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_273,plain,
( multiply(a2,multiply(b2,inverse(b2))) != a2
| multiply(a2,multiply(inverse(b2),b2)) = a2 ),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(inverse(b2),b2)),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
multiply(a2,multiply(inverse(b2),b2)) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),a2) )],[refute_0_266,refute_0_273]) ).
cnf(refute_0_275,plain,
inverse(inverse(X_39)) = X_39,
inference(subst,[],[refute_0_224:[bind(X_47,$fot(X_39))]]) ).
cnf(refute_0_276,plain,
multiply(multiply(X,Y),inverse(inverse(X_39))) = multiply(multiply(X,Y),inverse(inverse(X_39))),
introduced(tautology,[refl,[$fot(multiply(multiply(X,Y),inverse(inverse(X_39))))]]) ).
cnf(refute_0_277,plain,
( multiply(multiply(X,Y),inverse(inverse(X_39))) != multiply(multiply(X,Y),inverse(inverse(X_39)))
| inverse(inverse(X_39)) != X_39
| multiply(multiply(X,Y),inverse(inverse(X_39))) = multiply(multiply(X,Y),X_39) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,Y),inverse(inverse(X_39))),multiply(multiply(X,Y),inverse(inverse(X_39)))) ),[1,1],$fot(X_39)]]) ).
cnf(refute_0_278,plain,
( inverse(inverse(X_39)) != X_39
| multiply(multiply(X,Y),inverse(inverse(X_39))) = multiply(multiply(X,Y),X_39) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),inverse(inverse(X_39))),multiply(multiply(X,Y),inverse(inverse(X_39)))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
multiply(multiply(X,Y),inverse(inverse(X_39))) = multiply(multiply(X,Y),X_39),
inference(resolve,[$cnf( $equal(inverse(inverse(X_39)),X_39) )],[refute_0_275,refute_0_278]) ).
cnf(refute_0_280,plain,
double_divide(inverse(multiply(X,Y)),inverse(X_39)) = multiply(multiply(X,Y),inverse(inverse(X_39))),
inference(subst,[],[refute_0_235:[bind(X_12,$fot(inverse(X_39))),bind(X_15,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_281,plain,
( multiply(multiply(X,Y),inverse(inverse(X_39))) != multiply(multiply(X,Y),X_39)
| double_divide(inverse(multiply(X,Y)),inverse(X_39)) != multiply(multiply(X,Y),inverse(inverse(X_39)))
| double_divide(inverse(multiply(X,Y)),inverse(X_39)) = multiply(multiply(X,Y),X_39) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(double_divide(inverse(multiply(X,Y)),inverse(X_39)))),bind(Y0,$fot(multiply(multiply(X,Y),inverse(inverse(X_39))))),bind(Z0,$fot(multiply(multiply(X,Y),X_39)))]]) ).
cnf(refute_0_282,plain,
( multiply(multiply(X,Y),inverse(inverse(X_39))) != multiply(multiply(X,Y),X_39)
| double_divide(inverse(multiply(X,Y)),inverse(X_39)) = multiply(multiply(X,Y),X_39) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X,Y)),inverse(X_39)),multiply(multiply(X,Y),inverse(inverse(X_39)))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
double_divide(inverse(multiply(X,Y)),inverse(X_39)) = multiply(multiply(X,Y),X_39),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),inverse(inverse(X_39))),multiply(multiply(X,Y),X_39)) )],[refute_0_279,refute_0_282]) ).
cnf(refute_0_284,plain,
( double_divide(inverse(multiply(X,Y)),inverse(X_39)) != multiply(X_39,multiply(X,Y))
| double_divide(inverse(multiply(X,Y)),inverse(X_39)) != multiply(multiply(X,Y),X_39)
| multiply(multiply(X,Y),X_39) = multiply(X_39,multiply(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(X,Y)),inverse(X_39)),multiply(X_39,multiply(X,Y))) ),[0],$fot(multiply(multiply(X,Y),X_39))]]) ).
cnf(refute_0_285,plain,
( double_divide(inverse(multiply(X,Y)),inverse(X_39)) != multiply(X_39,multiply(X,Y))
| multiply(multiply(X,Y),X_39) = multiply(X_39,multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X,Y)),inverse(X_39)),multiply(multiply(X,Y),X_39)) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
multiply(multiply(X,Y),X_39) = multiply(X_39,multiply(X,Y)),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X,Y)),inverse(X_39)),multiply(X_39,multiply(X,Y))) )],[refute_0_114,refute_0_285]) ).
cnf(refute_0_287,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(inverse(b2),b2)),
inference(subst,[],[refute_0_286:[bind(X,$fot(inverse(b2))),bind(Y,$fot(b2)),bind(X_39,$fot(a2))]]) ).
cnf(refute_0_288,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(a2,multiply(inverse(b2),b2))
| multiply(a2,multiply(inverse(b2),b2)) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y0,$fot(multiply(a2,multiply(inverse(b2),b2)))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_289,plain,
( multiply(a2,multiply(inverse(b2),b2)) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(a2,multiply(inverse(b2),b2))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
multiply(multiply(inverse(b2),b2),a2) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,multiply(inverse(b2),b2)),a2) )],[refute_0_274,refute_0_289]) ).
cnf(refute_0_291,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_292,plain,
( a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(a4,b4) != multiply(b4,a4)
| a2 != a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_292,refute_0_250]) ).
cnf(refute_0_294,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(c3,b3)),
inference(subst,[],[refute_0_166:[bind(X,$fot(a3)),bind(X_5,$fot(c3)),bind(X_7,$fot(b3))]]) ).
cnf(refute_0_295,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_286:[bind(X,$fot(a3)),bind(Y,$fot(b3)),bind(X_39,$fot(c3))]]) ).
cnf(refute_0_296,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(c3,b3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(c3,b3)) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(multiply(multiply(a3,b3),c3))),bind(Y0,$fot(multiply(c3,multiply(a3,b3)))),bind(Z0,$fot(multiply(a3,multiply(c3,b3))))]]) ).
cnf(refute_0_297,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(c3,b3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(c3,b3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(c3,b3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(c3,b3))) )],[refute_0_294,refute_0_297]) ).
cnf(refute_0_299,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(c3,b3))
| multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(a3,multiply(c3,b3)))]]) ).
cnf(refute_0_300,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(c3,b3))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4)
| a2 != a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_300,refute_0_293]) ).
cnf(refute_0_302,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_303,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_302,refute_0_301]) ).
cnf(refute_0_304,plain,
multiply(X,inverse(X)) = inverse(double_divide(inverse(X),X)),
inference(subst,[],[multiply:[bind(Y,$fot(inverse(X)))]]) ).
cnf(refute_0_305,plain,
( multiply(X_35,inverse(X_35)) != double_divide(inverse(X_45),X_45)
| multiply(X_35,inverse(X_35)) != double_divide(inverse(X_52),X_52)
| double_divide(inverse(X_52),X_52) = double_divide(inverse(X_45),X_45) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_35,inverse(X_35)),double_divide(inverse(X_45),X_45)) ),[0],$fot(double_divide(inverse(X_52),X_52))]]) ).
cnf(refute_0_306,plain,
( multiply(X_35,inverse(X_35)) != double_divide(inverse(X_45),X_45)
| double_divide(inverse(X_52),X_52) = double_divide(inverse(X_45),X_45) ),
inference(resolve,[$cnf( $equal(multiply(X_35,inverse(X_35)),double_divide(inverse(X_52),X_52)) )],[refute_0_257,refute_0_305]) ).
cnf(refute_0_307,plain,
double_divide(inverse(X_52),X_52) = double_divide(inverse(X_45),X_45),
inference(resolve,[$cnf( $equal(multiply(X_35,inverse(X_35)),double_divide(inverse(X_45),X_45)) )],[refute_0_256,refute_0_306]) ).
cnf(refute_0_308,plain,
double_divide(inverse(X),X) = double_divide(inverse(X_57),X_57),
inference(subst,[],[refute_0_307:[bind(X_45,$fot(X_57)),bind(X_52,$fot(X))]]) ).
cnf(refute_0_309,plain,
( multiply(X,inverse(X)) != inverse(double_divide(inverse(X),X))
| double_divide(inverse(X),X) != double_divide(inverse(X_57),X_57)
| multiply(X,inverse(X)) = inverse(double_divide(inverse(X_57),X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(X)),inverse(double_divide(inverse(X),X))) ),[1,0],$fot(double_divide(inverse(X_57),X_57))]]) ).
cnf(refute_0_310,plain,
( multiply(X,inverse(X)) != inverse(double_divide(inverse(X),X))
| multiply(X,inverse(X)) = inverse(double_divide(inverse(X_57),X_57)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X),X),double_divide(inverse(X_57),X_57)) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
multiply(X,inverse(X)) = inverse(double_divide(inverse(X_57),X_57)),
inference(resolve,[$cnf( $equal(multiply(X,inverse(X)),inverse(double_divide(inverse(X),X))) )],[refute_0_304,refute_0_310]) ).
cnf(refute_0_312,plain,
inverse(double_divide(inverse(X_57),X_57)) = multiply(X_57,inverse(X_57)),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_57)),bind(Y,$fot(inverse(X_57)))]]) ).
cnf(refute_0_313,plain,
( multiply(X,inverse(X)) != inverse(double_divide(inverse(X_57),X_57))
| inverse(double_divide(inverse(X_57),X_57)) != multiply(X_57,inverse(X_57))
| multiply(X,inverse(X)) = multiply(X_57,inverse(X_57)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,inverse(X)),multiply(X_57,inverse(X_57))) ),[0],$fot(inverse(double_divide(inverse(X_57),X_57)))]]) ).
cnf(refute_0_314,plain,
( multiply(X,inverse(X)) != inverse(double_divide(inverse(X_57),X_57))
| multiply(X,inverse(X)) = multiply(X_57,inverse(X_57)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_57),X_57)),multiply(X_57,inverse(X_57))) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
multiply(X,inverse(X)) = multiply(X_57,inverse(X_57)),
inference(resolve,[$cnf( $equal(multiply(X,inverse(X)),inverse(double_divide(inverse(X_57),X_57))) )],[refute_0_311,refute_0_314]) ).
cnf(refute_0_316,plain,
( multiply(X,inverse(X)) != multiply(X_57,inverse(X_57))
| multiply(X_57,inverse(X_57)) = multiply(X,inverse(X)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,inverse(X)))),bind(Y0,$fot(multiply(X_57,inverse(X_57))))]]) ).
cnf(refute_0_317,plain,
multiply(X_57,inverse(X_57)) = multiply(X,inverse(X)),
inference(resolve,[$cnf( $equal(multiply(X,inverse(X)),multiply(X_57,inverse(X_57))) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
multiply(a1,inverse(a1)) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_317:[bind(X,$fot(b1)),bind(X_57,$fot(a1))]]) ).
cnf(refute_0_319,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),multiply(b1,inverse(b1))) )],[refute_0_318,refute_0_303]) ).
cnf(refute_0_320,plain,
double_divide(multiply(multiply(double_divide(multiply(multiply(double_divide(X,X_8),inverse(Y)),X),X_8),multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8) = double_divide(X_6,X_5),
inference(subst,[],[refute_0_60:[bind(X,$fot(X_5)),bind(Y,$fot(X_6)),bind(X_2,$fot(multiply(multiply(double_divide(X,X_8),inverse(Y)),X))),bind(X_4,$fot(X_8))]]) ).
cnf(refute_0_321,plain,
double_divide(multiply(multiply(double_divide(X,X_8),inverse(Y)),X),X_8) = Y,
inference(subst,[],[refute_0_22:[bind(Z,$fot(X_8))]]) ).
cnf(refute_0_322,plain,
( double_divide(multiply(multiply(double_divide(X,X_8),inverse(Y)),X),X_8) != Y
| double_divide(multiply(multiply(double_divide(multiply(multiply(double_divide(X,X_8),inverse(Y)),X),X_8),multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8) != double_divide(X_6,X_5)
| double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8) = double_divide(X_6,X_5) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(double_divide(multiply(multiply(double_divide(X,X_8),inverse(Y)),X),X_8),multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8),double_divide(X_6,X_5)) ),[0,0,0,0],$fot(Y)]]) ).
cnf(refute_0_323,plain,
( double_divide(multiply(multiply(double_divide(multiply(multiply(double_divide(X,X_8),inverse(Y)),X),X_8),multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8) != double_divide(X_6,X_5)
| double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8) = double_divide(X_6,X_5) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X,X_8),inverse(Y)),X),X_8),Y) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8) = double_divide(X_6,X_5),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(multiply(multiply(double_divide(X,X_8),inverse(Y)),X),X_8),multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8),double_divide(X_6,X_5)) )],[refute_0_320,refute_0_323]) ).
cnf(refute_0_325,plain,
multiply(double_divide(Y,X),inverse(X_16)) = double_divide(multiply(X,Y),double_divide(multiply(X,Y),multiply(double_divide(Y,X),inverse(X_16)))),
inference(subst,[],[refute_0_195:[bind(Y,$fot(multiply(X,Y))),bind(X_17,$fot(multiply(double_divide(Y,X),inverse(X_16))))]]) ).
cnf(refute_0_326,plain,
( multiply(double_divide(Y,X),inverse(X_16)) != double_divide(multiply(X,Y),double_divide(multiply(X,Y),multiply(double_divide(Y,X),inverse(X_16))))
| double_divide(multiply(X,Y),multiply(double_divide(Y,X),inverse(X_16))) != X_16
| multiply(double_divide(Y,X),inverse(X_16)) = double_divide(multiply(X,Y),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(Y,X),inverse(X_16)),double_divide(multiply(X,Y),double_divide(multiply(X,Y),multiply(double_divide(Y,X),inverse(X_16))))) ),[1,1],$fot(X_16)]]) ).
cnf(refute_0_327,plain,
( multiply(double_divide(Y,X),inverse(X_16)) != double_divide(multiply(X,Y),double_divide(multiply(X,Y),multiply(double_divide(Y,X),inverse(X_16))))
| multiply(double_divide(Y,X),inverse(X_16)) = double_divide(multiply(X,Y),X_16) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X,Y),multiply(double_divide(Y,X),inverse(X_16))),X_16) )],[refute_0_92,refute_0_326]) ).
cnf(refute_0_328,plain,
multiply(double_divide(Y,X),inverse(X_16)) = double_divide(multiply(X,Y),X_16),
inference(resolve,[$cnf( $equal(multiply(double_divide(Y,X),inverse(X_16)),double_divide(multiply(X,Y),double_divide(multiply(X,Y),multiply(double_divide(Y,X),inverse(X_16))))) )],[refute_0_325,refute_0_327]) ).
cnf(refute_0_329,plain,
multiply(double_divide(X,X_8),inverse(Y)) = double_divide(multiply(X_8,X),Y),
inference(subst,[],[refute_0_328:[bind(X,$fot(X_8)),bind(Y,$fot(X)),bind(X_16,$fot(Y))]]) ).
cnf(refute_0_330,plain,
multiply(X,multiply(double_divide(X,X_8),inverse(Y))) = multiply(X,multiply(double_divide(X,X_8),inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(double_divide(X,X_8),inverse(Y))))]]) ).
cnf(refute_0_331,plain,
( multiply(X,multiply(double_divide(X,X_8),inverse(Y))) != multiply(X,multiply(double_divide(X,X_8),inverse(Y)))
| multiply(double_divide(X,X_8),inverse(Y)) != double_divide(multiply(X_8,X),Y)
| multiply(X,multiply(double_divide(X,X_8),inverse(Y))) = multiply(X,double_divide(multiply(X_8,X),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(double_divide(X,X_8),inverse(Y))),multiply(X,multiply(double_divide(X,X_8),inverse(Y)))) ),[1,1],$fot(double_divide(multiply(X_8,X),Y))]]) ).
cnf(refute_0_332,plain,
( multiply(double_divide(X,X_8),inverse(Y)) != double_divide(multiply(X_8,X),Y)
| multiply(X,multiply(double_divide(X,X_8),inverse(Y))) = multiply(X,double_divide(multiply(X_8,X),Y)) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(double_divide(X,X_8),inverse(Y))),multiply(X,multiply(double_divide(X,X_8),inverse(Y)))) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
multiply(X,multiply(double_divide(X,X_8),inverse(Y))) = multiply(X,double_divide(multiply(X_8,X),Y)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X,X_8),inverse(Y)),double_divide(multiply(X_8,X),Y)) )],[refute_0_329,refute_0_332]) ).
cnf(refute_0_334,plain,
multiply(multiply(double_divide(X,X_8),inverse(Y)),X) = multiply(X,multiply(double_divide(X,X_8),inverse(Y))),
inference(subst,[],[refute_0_286:[bind(X,$fot(double_divide(X,X_8))),bind(Y,$fot(inverse(Y))),bind(X_39,$fot(X))]]) ).
cnf(refute_0_335,plain,
( multiply(X,multiply(double_divide(X,X_8),inverse(Y))) != multiply(X,double_divide(multiply(X_8,X),Y))
| multiply(multiply(double_divide(X,X_8),inverse(Y)),X) != multiply(X,multiply(double_divide(X,X_8),inverse(Y)))
| multiply(multiply(double_divide(X,X_8),inverse(Y)),X) = multiply(X,double_divide(multiply(X_8,X),Y)) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(multiply(multiply(double_divide(X,X_8),inverse(Y)),X))),bind(Y0,$fot(multiply(X,multiply(double_divide(X,X_8),inverse(Y))))),bind(Z0,$fot(multiply(X,double_divide(multiply(X_8,X),Y))))]]) ).
cnf(refute_0_336,plain,
( multiply(X,multiply(double_divide(X,X_8),inverse(Y))) != multiply(X,double_divide(multiply(X_8,X),Y))
| multiply(multiply(double_divide(X,X_8),inverse(Y)),X) = multiply(X,double_divide(multiply(X_8,X),Y)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X,X_8),inverse(Y)),X),multiply(X,multiply(double_divide(X,X_8),inverse(Y)))) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
multiply(multiply(double_divide(X,X_8),inverse(Y)),X) = multiply(X,double_divide(multiply(X_8,X),Y)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(double_divide(X,X_8),inverse(Y))),multiply(X,double_divide(multiply(X_8,X),Y))) )],[refute_0_333,refute_0_336]) ).
cnf(refute_0_338,plain,
multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)) = multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),
introduced(tautology,[refl,[$fot(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)))]]) ).
cnf(refute_0_339,plain,
( multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)) != multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X))
| multiply(multiply(double_divide(X,X_8),inverse(Y)),X) != multiply(X,double_divide(multiply(X_8,X),Y))
| multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)) = multiply(multiply(Y,multiply(X_5,X_6)),multiply(X,double_divide(multiply(X_8,X),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X))) ),[1,1],$fot(multiply(X,double_divide(multiply(X_8,X),Y)))]]) ).
cnf(refute_0_340,plain,
( multiply(multiply(double_divide(X,X_8),inverse(Y)),X) != multiply(X,double_divide(multiply(X_8,X),Y))
| multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)) = multiply(multiply(Y,multiply(X_5,X_6)),multiply(X,double_divide(multiply(X_8,X),Y))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)) = multiply(multiply(Y,multiply(X_5,X_6)),multiply(X,double_divide(multiply(X_8,X),Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X,X_8),inverse(Y)),X),multiply(X,double_divide(multiply(X_8,X),Y))) )],[refute_0_337,refute_0_340]) ).
cnf(refute_0_342,plain,
double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8) = double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8),
introduced(tautology,[refl,[$fot(double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8))]]) ).
cnf(refute_0_343,plain,
( multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)) != multiply(multiply(Y,multiply(X_5,X_6)),multiply(X,double_divide(multiply(X_8,X),Y)))
| double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8) != double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8)
| double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8) = double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(X,double_divide(multiply(X_8,X),Y))),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8),double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8)) ),[1,0],$fot(multiply(multiply(Y,multiply(X_5,X_6)),multiply(X,double_divide(multiply(X_8,X),Y))))]]) ).
cnf(refute_0_344,plain,
( multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)) != multiply(multiply(Y,multiply(X_5,X_6)),multiply(X,double_divide(multiply(X_8,X),Y)))
| double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8) = double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(X,double_divide(multiply(X_8,X),Y))),X_8) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8),double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8)) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8) = double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(X,double_divide(multiply(X_8,X),Y))),X_8),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),multiply(multiply(Y,multiply(X_5,X_6)),multiply(X,double_divide(multiply(X_8,X),Y)))) )],[refute_0_341,refute_0_344]) ).
cnf(refute_0_346,plain,
( double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8) != double_divide(X_6,X_5)
| double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8) != double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(X,double_divide(multiply(X_8,X),Y))),X_8)
| double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(X,double_divide(multiply(X_8,X),Y))),X_8) = double_divide(X_6,X_5) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8),double_divide(X_6,X_5)) ),[0],$fot(double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(X,double_divide(multiply(X_8,X),Y))),X_8))]]) ).
cnf(refute_0_347,plain,
( double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8) != double_divide(X_6,X_5)
| double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(X,double_divide(multiply(X_8,X),Y))),X_8) = double_divide(X_6,X_5) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8),double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(X,double_divide(multiply(X_8,X),Y))),X_8)) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(X,double_divide(multiply(X_8,X),Y))),X_8) = double_divide(X_6,X_5),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(Y,multiply(X_5,X_6)),multiply(multiply(double_divide(X,X_8),inverse(Y)),X)),X_8),double_divide(X_6,X_5)) )],[refute_0_324,refute_0_347]) ).
cnf(refute_0_349,plain,
double_divide(multiply(multiply(X_81,multiply(inverse(X_35),multiply(inverse(X_16),X_35))),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) = double_divide(multiply(inverse(X_16),X_35),inverse(X_35)),
inference(subst,[],[refute_0_348:[bind(X,$fot(X_80)),bind(Y,$fot(X_81)),bind(X_5,$fot(inverse(X_35))),bind(X_6,$fot(multiply(inverse(X_16),X_35))),bind(X_8,$fot(X_84))]]) ).
cnf(refute_0_350,plain,
multiply(multiply(inverse(X_38),inverse(multiply(X_37,inverse(X_38)))),inverse(inverse(X_38))) = inverse(multiply(X_37,inverse(X_38))),
inference(subst,[],[refute_0_47:[bind(X_16,$fot(multiply(X_37,inverse(X_38)))),bind(X_17,$fot(inverse(X_38)))]]) ).
cnf(refute_0_351,plain,
( multiply(multiply(inverse(X_38),inverse(multiply(X_37,inverse(X_38)))),inverse(inverse(X_38))) != inverse(multiply(X_37,inverse(X_38)))
| multiply(inverse(X_38),inverse(multiply(X_37,inverse(X_38)))) != inverse(X_37)
| multiply(inverse(X_37),inverse(inverse(X_38))) = inverse(multiply(X_37,inverse(X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_38),inverse(multiply(X_37,inverse(X_38)))),inverse(inverse(X_38))),inverse(multiply(X_37,inverse(X_38)))) ),[0,0],$fot(inverse(X_37))]]) ).
cnf(refute_0_352,plain,
( multiply(multiply(inverse(X_38),inverse(multiply(X_37,inverse(X_38)))),inverse(inverse(X_38))) != inverse(multiply(X_37,inverse(X_38)))
| multiply(inverse(X_37),inverse(inverse(X_38))) = inverse(multiply(X_37,inverse(X_38))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_38),inverse(multiply(X_37,inverse(X_38)))),inverse(X_37)) )],[refute_0_53,refute_0_351]) ).
cnf(refute_0_353,plain,
multiply(inverse(X_37),inverse(inverse(X_38))) = inverse(multiply(X_37,inverse(X_38))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_38),inverse(multiply(X_37,inverse(X_38)))),inverse(inverse(X_38))),inverse(multiply(X_37,inverse(X_38)))) )],[refute_0_350,refute_0_352]) ).
cnf(refute_0_354,plain,
inverse(inverse(X_38)) = X_38,
inference(subst,[],[refute_0_224:[bind(X_47,$fot(X_38))]]) ).
cnf(refute_0_355,plain,
multiply(inverse(X_37),inverse(inverse(X_38))) = multiply(inverse(X_37),inverse(inverse(X_38))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_37),inverse(inverse(X_38))))]]) ).
cnf(refute_0_356,plain,
( multiply(inverse(X_37),inverse(inverse(X_38))) != multiply(inverse(X_37),inverse(inverse(X_38)))
| inverse(inverse(X_38)) != X_38
| multiply(inverse(X_37),inverse(inverse(X_38))) = multiply(inverse(X_37),X_38) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_37),inverse(inverse(X_38))),multiply(inverse(X_37),inverse(inverse(X_38)))) ),[1,1],$fot(X_38)]]) ).
cnf(refute_0_357,plain,
( inverse(inverse(X_38)) != X_38
| multiply(inverse(X_37),inverse(inverse(X_38))) = multiply(inverse(X_37),X_38) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_37),inverse(inverse(X_38))),multiply(inverse(X_37),inverse(inverse(X_38)))) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
multiply(inverse(X_37),inverse(inverse(X_38))) = multiply(inverse(X_37),X_38),
inference(resolve,[$cnf( $equal(inverse(inverse(X_38)),X_38) )],[refute_0_354,refute_0_357]) ).
cnf(refute_0_359,plain,
( multiply(inverse(X_37),inverse(inverse(X_38))) != multiply(inverse(X_37),X_38)
| multiply(inverse(X_37),inverse(inverse(X_38))) != inverse(multiply(X_37,inverse(X_38)))
| multiply(inverse(X_37),X_38) = inverse(multiply(X_37,inverse(X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_37),inverse(inverse(X_38))),inverse(multiply(X_37,inverse(X_38)))) ),[0],$fot(multiply(inverse(X_37),X_38))]]) ).
cnf(refute_0_360,plain,
( multiply(inverse(X_37),inverse(inverse(X_38))) != inverse(multiply(X_37,inverse(X_38)))
| multiply(inverse(X_37),X_38) = inverse(multiply(X_37,inverse(X_38))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_37),inverse(inverse(X_38))),multiply(inverse(X_37),X_38)) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
multiply(inverse(X_37),X_38) = inverse(multiply(X_37,inverse(X_38))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_37),inverse(inverse(X_38))),inverse(multiply(X_37,inverse(X_38)))) )],[refute_0_353,refute_0_360]) ).
cnf(refute_0_362,plain,
( multiply(inverse(X_37),X_38) != inverse(multiply(X_37,inverse(X_38)))
| inverse(multiply(X_37,inverse(X_38))) = multiply(inverse(X_37),X_38) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_37),X_38))),bind(Y0,$fot(inverse(multiply(X_37,inverse(X_38)))))]]) ).
cnf(refute_0_363,plain,
inverse(multiply(X_37,inverse(X_38))) = multiply(inverse(X_37),X_38),
inference(resolve,[$cnf( $equal(multiply(inverse(X_37),X_38),inverse(multiply(X_37,inverse(X_38)))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
inverse(multiply(X_16,inverse(X_35))) = multiply(inverse(X_16),X_35),
inference(subst,[],[refute_0_363:[bind(X_37,$fot(X_16)),bind(X_38,$fot(X_35))]]) ).
cnf(refute_0_365,plain,
multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35)))) = multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35)))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35)))))]]) ).
cnf(refute_0_366,plain,
( multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35)))) != multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35))))
| inverse(multiply(X_16,inverse(X_35))) != multiply(inverse(X_16),X_35)
| multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35)))) = multiply(inverse(X_35),multiply(inverse(X_16),X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35)))),multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35))))) ),[1,1],$fot(multiply(inverse(X_16),X_35))]]) ).
cnf(refute_0_367,plain,
( inverse(multiply(X_16,inverse(X_35))) != multiply(inverse(X_16),X_35)
| multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35)))) = multiply(inverse(X_35),multiply(inverse(X_16),X_35)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35)))),multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35))))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35)))) = multiply(inverse(X_35),multiply(inverse(X_16),X_35)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_16,inverse(X_35))),multiply(inverse(X_16),X_35)) )],[refute_0_364,refute_0_367]) ).
cnf(refute_0_369,plain,
( multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35)))) != multiply(inverse(X_35),multiply(inverse(X_16),X_35))
| multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35)))) != inverse(X_16)
| multiply(inverse(X_35),multiply(inverse(X_16),X_35)) = inverse(X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35)))),inverse(X_16)) ),[0],$fot(multiply(inverse(X_35),multiply(inverse(X_16),X_35)))]]) ).
cnf(refute_0_370,plain,
( multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35)))) != inverse(X_16)
| multiply(inverse(X_35),multiply(inverse(X_16),X_35)) = inverse(X_16) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35)))),multiply(inverse(X_35),multiply(inverse(X_16),X_35))) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
multiply(inverse(X_35),multiply(inverse(X_16),X_35)) = inverse(X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(X_35),inverse(multiply(X_16,inverse(X_35)))),inverse(X_16)) )],[refute_0_52,refute_0_370]) ).
cnf(refute_0_372,plain,
( multiply(inverse(X_35),multiply(inverse(X_16),X_35)) != inverse(X_16)
| double_divide(multiply(multiply(X_81,multiply(inverse(X_35),multiply(inverse(X_16),X_35))),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) != double_divide(multiply(inverse(X_16),X_35),inverse(X_35))
| double_divide(multiply(multiply(X_81,inverse(X_16)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) = double_divide(multiply(inverse(X_16),X_35),inverse(X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_81,multiply(inverse(X_35),multiply(inverse(X_16),X_35))),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84),double_divide(multiply(inverse(X_16),X_35),inverse(X_35))) ),[0,0,0,1],$fot(inverse(X_16))]]) ).
cnf(refute_0_373,plain,
( double_divide(multiply(multiply(X_81,multiply(inverse(X_35),multiply(inverse(X_16),X_35))),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) != double_divide(multiply(inverse(X_16),X_35),inverse(X_35))
| double_divide(multiply(multiply(X_81,inverse(X_16)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) = double_divide(multiply(inverse(X_16),X_35),inverse(X_35)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_35),multiply(inverse(X_16),X_35)),inverse(X_16)) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
double_divide(multiply(multiply(X_81,inverse(X_16)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) = double_divide(multiply(inverse(X_16),X_35),inverse(X_35)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_81,multiply(inverse(X_35),multiply(inverse(X_16),X_35))),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84),double_divide(multiply(inverse(X_16),X_35),inverse(X_35))) )],[refute_0_349,refute_0_373]) ).
cnf(refute_0_375,plain,
inverse(inverse(X_16)) = X_16,
inference(subst,[],[refute_0_224:[bind(X_47,$fot(X_16))]]) ).
cnf(refute_0_376,plain,
double_divide(multiply(multiply(X_81,multiply(multiply(X_62,inverse(X_62)),X_83)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) = double_divide(X_83,multiply(X_62,inverse(X_62))),
inference(subst,[],[refute_0_348:[bind(X,$fot(X_80)),bind(Y,$fot(X_81)),bind(X_5,$fot(multiply(X_62,inverse(X_62)))),bind(X_6,$fot(X_83)),bind(X_8,$fot(X_84))]]) ).
cnf(refute_0_377,plain,
multiply(multiply(X_62,inverse(X_62)),multiply(Y,inverse(multiply(X_62,inverse(X_62))))) = Y,
inference(subst,[],[refute_0_118:[bind(X_35,$fot(multiply(X_62,inverse(X_62))))]]) ).
cnf(refute_0_378,plain,
double_divide(inverse(inverse(multiply(X_55,inverse(X_55)))),inverse(X_37)) = multiply(X_37,inverse(multiply(X_55,inverse(X_55)))),
inference(subst,[],[refute_0_88:[bind(X_38,$fot(multiply(X_55,inverse(X_55))))]]) ).
cnf(refute_0_379,plain,
multiply(inverse(X_35),inverse(multiply(double_divide(inverse(X_45),X_45),inverse(X_35)))) = inverse(double_divide(inverse(X_45),X_45)),
inference(subst,[],[refute_0_52:[bind(X_16,$fot(double_divide(inverse(X_45),X_45)))]]) ).
cnf(refute_0_380,plain,
( multiply(double_divide(inverse(X_45),X_45),inverse(X_35)) != inverse(X_35)
| multiply(inverse(X_35),inverse(multiply(double_divide(inverse(X_45),X_45),inverse(X_35)))) != inverse(double_divide(inverse(X_45),X_45))
| multiply(inverse(X_35),inverse(inverse(X_35))) = inverse(double_divide(inverse(X_45),X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_35),inverse(multiply(double_divide(inverse(X_45),X_45),inverse(X_35)))),inverse(double_divide(inverse(X_45),X_45))) ),[0,1,0],$fot(inverse(X_35))]]) ).
cnf(refute_0_381,plain,
( multiply(inverse(X_35),inverse(multiply(double_divide(inverse(X_45),X_45),inverse(X_35)))) != inverse(double_divide(inverse(X_45),X_45))
| multiply(inverse(X_35),inverse(inverse(X_35))) = inverse(double_divide(inverse(X_45),X_45)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_45),X_45),inverse(X_35)),inverse(X_35)) )],[refute_0_253,refute_0_380]) ).
cnf(refute_0_382,plain,
multiply(inverse(X_35),inverse(inverse(X_35))) = inverse(double_divide(inverse(X_45),X_45)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_35),inverse(multiply(double_divide(inverse(X_45),X_45),inverse(X_35)))),inverse(double_divide(inverse(X_45),X_45))) )],[refute_0_379,refute_0_381]) ).
cnf(refute_0_383,plain,
multiply(inverse(X_35),inverse(inverse(X_35))) = inverse(multiply(X_35,inverse(X_35))),
inference(subst,[],[refute_0_353:[bind(X_37,$fot(X_35)),bind(X_38,$fot(X_35))]]) ).
cnf(refute_0_384,plain,
( multiply(inverse(X_35),inverse(inverse(X_35))) != inverse(multiply(X_35,inverse(X_35)))
| multiply(inverse(X_35),inverse(inverse(X_35))) != inverse(double_divide(inverse(X_45),X_45))
| inverse(multiply(X_35,inverse(X_35))) = inverse(double_divide(inverse(X_45),X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_35),inverse(inverse(X_35))),inverse(double_divide(inverse(X_45),X_45))) ),[0],$fot(inverse(multiply(X_35,inverse(X_35))))]]) ).
cnf(refute_0_385,plain,
( multiply(inverse(X_35),inverse(inverse(X_35))) != inverse(double_divide(inverse(X_45),X_45))
| inverse(multiply(X_35,inverse(X_35))) = inverse(double_divide(inverse(X_45),X_45)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_35),inverse(inverse(X_35))),inverse(multiply(X_35,inverse(X_35)))) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
( inverse(multiply(X_35,inverse(X_35))) != inverse(double_divide(inverse(X_45),X_45))
| inverse(double_divide(inverse(X_45),X_45)) != multiply(X_45,inverse(X_45))
| inverse(multiply(X_35,inverse(X_35))) = multiply(X_45,inverse(X_45)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(multiply(X_35,inverse(X_35))),multiply(X_45,inverse(X_45))) ),[0],$fot(inverse(double_divide(inverse(X_45),X_45)))]]) ).
cnf(refute_0_387,plain,
( inverse(multiply(X_35,inverse(X_35))) != inverse(double_divide(inverse(X_45),X_45))
| inverse(multiply(X_35,inverse(X_35))) = multiply(X_45,inverse(X_45)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_45),X_45)),multiply(X_45,inverse(X_45))) )],[refute_0_127,refute_0_386]) ).
cnf(refute_0_388,plain,
( multiply(inverse(X_35),inverse(inverse(X_35))) != inverse(double_divide(inverse(X_45),X_45))
| inverse(multiply(X_35,inverse(X_35))) = multiply(X_45,inverse(X_45)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_35,inverse(X_35))),inverse(double_divide(inverse(X_45),X_45))) )],[refute_0_385,refute_0_387]) ).
cnf(refute_0_389,plain,
inverse(multiply(X_35,inverse(X_35))) = multiply(X_45,inverse(X_45)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_35),inverse(inverse(X_35))),inverse(double_divide(inverse(X_45),X_45))) )],[refute_0_382,refute_0_388]) ).
cnf(refute_0_390,plain,
inverse(multiply(X_55,inverse(X_55))) = multiply(X_56,inverse(X_56)),
inference(subst,[],[refute_0_389:[bind(X_35,$fot(X_55)),bind(X_45,$fot(X_56))]]) ).
cnf(refute_0_391,plain,
( double_divide(inverse(inverse(multiply(X_55,inverse(X_55)))),inverse(X_37)) != multiply(X_37,inverse(multiply(X_55,inverse(X_55))))
| inverse(multiply(X_55,inverse(X_55))) != multiply(X_56,inverse(X_56))
| double_divide(inverse(inverse(multiply(X_55,inverse(X_55)))),inverse(X_37)) = multiply(X_37,multiply(X_56,inverse(X_56))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(multiply(X_55,inverse(X_55)))),inverse(X_37)),multiply(X_37,inverse(multiply(X_55,inverse(X_55))))) ),[1,1],$fot(multiply(X_56,inverse(X_56)))]]) ).
cnf(refute_0_392,plain,
( double_divide(inverse(inverse(multiply(X_55,inverse(X_55)))),inverse(X_37)) != multiply(X_37,inverse(multiply(X_55,inverse(X_55))))
| double_divide(inverse(inverse(multiply(X_55,inverse(X_55)))),inverse(X_37)) = multiply(X_37,multiply(X_56,inverse(X_56))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_55,inverse(X_55))),multiply(X_56,inverse(X_56))) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
double_divide(inverse(inverse(multiply(X_55,inverse(X_55)))),inverse(X_37)) = multiply(X_37,multiply(X_56,inverse(X_56))),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(X_55,inverse(X_55)))),inverse(X_37)),multiply(X_37,inverse(multiply(X_55,inverse(X_55))))) )],[refute_0_378,refute_0_392]) ).
cnf(refute_0_394,plain,
( double_divide(inverse(inverse(multiply(X_55,inverse(X_55)))),inverse(X_37)) != multiply(X_37,multiply(X_56,inverse(X_56)))
| double_divide(inverse(inverse(multiply(X_55,inverse(X_55)))),inverse(X_37)) != multiply(X_37,inverse(multiply(X_55,inverse(X_55))))
| multiply(X_37,inverse(multiply(X_55,inverse(X_55)))) = multiply(X_37,multiply(X_56,inverse(X_56))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(multiply(X_55,inverse(X_55)))),inverse(X_37)),multiply(X_37,multiply(X_56,inverse(X_56)))) ),[0],$fot(multiply(X_37,inverse(multiply(X_55,inverse(X_55)))))]]) ).
cnf(refute_0_395,plain,
( double_divide(inverse(inverse(multiply(X_55,inverse(X_55)))),inverse(X_37)) != multiply(X_37,multiply(X_56,inverse(X_56)))
| multiply(X_37,inverse(multiply(X_55,inverse(X_55)))) = multiply(X_37,multiply(X_56,inverse(X_56))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(X_55,inverse(X_55)))),inverse(X_37)),multiply(X_37,inverse(multiply(X_55,inverse(X_55))))) )],[refute_0_378,refute_0_394]) ).
cnf(refute_0_396,plain,
multiply(X_37,multiply(X_56,inverse(X_56))) = X_37,
inference(subst,[],[refute_0_265:[bind(X_38,$fot(X_56)),bind(X_53,$fot(X_37))]]) ).
cnf(refute_0_397,plain,
( multiply(X_37,multiply(X_56,inverse(X_56))) != X_37
| multiply(X_37,inverse(multiply(X_55,inverse(X_55)))) != multiply(X_37,multiply(X_56,inverse(X_56)))
| multiply(X_37,inverse(multiply(X_55,inverse(X_55)))) = X_37 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_37,inverse(multiply(X_55,inverse(X_55)))),multiply(X_37,multiply(X_56,inverse(X_56)))) ),[1],$fot(X_37)]]) ).
cnf(refute_0_398,plain,
( multiply(X_37,inverse(multiply(X_55,inverse(X_55)))) != multiply(X_37,multiply(X_56,inverse(X_56)))
| multiply(X_37,inverse(multiply(X_55,inverse(X_55)))) = X_37 ),
inference(resolve,[$cnf( $equal(multiply(X_37,multiply(X_56,inverse(X_56))),X_37) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
( double_divide(inverse(inverse(multiply(X_55,inverse(X_55)))),inverse(X_37)) != multiply(X_37,multiply(X_56,inverse(X_56)))
| multiply(X_37,inverse(multiply(X_55,inverse(X_55)))) = X_37 ),
inference(resolve,[$cnf( $equal(multiply(X_37,inverse(multiply(X_55,inverse(X_55)))),multiply(X_37,multiply(X_56,inverse(X_56)))) )],[refute_0_395,refute_0_398]) ).
cnf(refute_0_400,plain,
multiply(X_37,inverse(multiply(X_55,inverse(X_55)))) = X_37,
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(X_55,inverse(X_55)))),inverse(X_37)),multiply(X_37,multiply(X_56,inverse(X_56)))) )],[refute_0_393,refute_0_399]) ).
cnf(refute_0_401,plain,
multiply(Y,inverse(multiply(X_62,inverse(X_62)))) = Y,
inference(subst,[],[refute_0_400:[bind(X_37,$fot(Y)),bind(X_55,$fot(X_62))]]) ).
cnf(refute_0_402,plain,
( multiply(Y,inverse(multiply(X_62,inverse(X_62)))) != Y
| multiply(multiply(X_62,inverse(X_62)),multiply(Y,inverse(multiply(X_62,inverse(X_62))))) != Y
| multiply(multiply(X_62,inverse(X_62)),Y) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_62,inverse(X_62)),multiply(Y,inverse(multiply(X_62,inverse(X_62))))),Y) ),[0,1],$fot(Y)]]) ).
cnf(refute_0_403,plain,
( multiply(multiply(X_62,inverse(X_62)),multiply(Y,inverse(multiply(X_62,inverse(X_62))))) != Y
| multiply(multiply(X_62,inverse(X_62)),Y) = Y ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(multiply(X_62,inverse(X_62)))),Y) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
multiply(multiply(X_62,inverse(X_62)),Y) = Y,
inference(resolve,[$cnf( $equal(multiply(multiply(X_62,inverse(X_62)),multiply(Y,inverse(multiply(X_62,inverse(X_62))))),Y) )],[refute_0_377,refute_0_403]) ).
cnf(refute_0_405,plain,
multiply(multiply(X_62,inverse(X_62)),X_83) = X_83,
inference(subst,[],[refute_0_404:[bind(Y,$fot(X_83))]]) ).
cnf(refute_0_406,plain,
( multiply(multiply(X_62,inverse(X_62)),X_83) != X_83
| double_divide(multiply(multiply(X_81,multiply(multiply(X_62,inverse(X_62)),X_83)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) != double_divide(X_83,multiply(X_62,inverse(X_62)))
| double_divide(multiply(multiply(X_81,X_83),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) = double_divide(X_83,multiply(X_62,inverse(X_62))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_81,multiply(multiply(X_62,inverse(X_62)),X_83)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84),double_divide(X_83,multiply(X_62,inverse(X_62)))) ),[0,0,0,1],$fot(X_83)]]) ).
cnf(refute_0_407,plain,
( double_divide(multiply(multiply(X_81,multiply(multiply(X_62,inverse(X_62)),X_83)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) != double_divide(X_83,multiply(X_62,inverse(X_62)))
| double_divide(multiply(multiply(X_81,X_83),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) = double_divide(X_83,multiply(X_62,inverse(X_62))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_62,inverse(X_62)),X_83),X_83) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
double_divide(multiply(multiply(X_81,X_83),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) = double_divide(X_83,multiply(X_62,inverse(X_62))),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_81,multiply(multiply(X_62,inverse(X_62)),X_83)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84),double_divide(X_83,multiply(X_62,inverse(X_62)))) )],[refute_0_376,refute_0_407]) ).
cnf(refute_0_409,plain,
double_divide(inverse(X_17),multiply(X_17,multiply(multiply(X_64,inverse(X_64)),Y))) = double_divide(Y,multiply(X_64,inverse(X_64))),
inference(subst,[],[refute_0_73:[bind(X,$fot(multiply(X_64,inverse(X_64))))]]) ).
cnf(refute_0_410,plain,
multiply(multiply(X_64,inverse(X_64)),Y) = Y,
inference(subst,[],[refute_0_404:[bind(X_62,$fot(X_64))]]) ).
cnf(refute_0_411,plain,
( multiply(multiply(X_64,inverse(X_64)),Y) != Y
| double_divide(inverse(X_17),multiply(X_17,multiply(multiply(X_64,inverse(X_64)),Y))) != double_divide(Y,multiply(X_64,inverse(X_64)))
| double_divide(inverse(X_17),multiply(X_17,Y)) = double_divide(Y,multiply(X_64,inverse(X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,multiply(multiply(X_64,inverse(X_64)),Y))),double_divide(Y,multiply(X_64,inverse(X_64)))) ),[0,1,1],$fot(Y)]]) ).
cnf(refute_0_412,plain,
( double_divide(inverse(X_17),multiply(X_17,multiply(multiply(X_64,inverse(X_64)),Y))) != double_divide(Y,multiply(X_64,inverse(X_64)))
| double_divide(inverse(X_17),multiply(X_17,Y)) = double_divide(Y,multiply(X_64,inverse(X_64))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_64,inverse(X_64)),Y),Y) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
double_divide(inverse(X_17),multiply(X_17,Y)) = double_divide(Y,multiply(X_64,inverse(X_64))),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,multiply(multiply(X_64,inverse(X_64)),Y))),double_divide(Y,multiply(X_64,inverse(X_64)))) )],[refute_0_409,refute_0_412]) ).
cnf(refute_0_414,plain,
double_divide(inverse(X_17),multiply(X_17,multiply(X,inverse(multiply(X_62,inverse(X_62)))))) = double_divide(inverse(multiply(X_62,inverse(X_62))),X),
inference(subst,[],[refute_0_73:[bind(Y,$fot(inverse(multiply(X_62,inverse(X_62)))))]]) ).
cnf(refute_0_415,plain,
multiply(X,inverse(multiply(X_62,inverse(X_62)))) = X,
inference(subst,[],[refute_0_400:[bind(X_37,$fot(X)),bind(X_55,$fot(X_62))]]) ).
cnf(refute_0_416,plain,
( multiply(X,inverse(multiply(X_62,inverse(X_62)))) != X
| double_divide(inverse(X_17),multiply(X_17,multiply(X,inverse(multiply(X_62,inverse(X_62)))))) != double_divide(inverse(multiply(X_62,inverse(X_62))),X)
| double_divide(inverse(X_17),multiply(X_17,X)) = double_divide(inverse(multiply(X_62,inverse(X_62))),X) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,multiply(X,inverse(multiply(X_62,inverse(X_62)))))),double_divide(inverse(multiply(X_62,inverse(X_62))),X)) ),[0,1,1],$fot(X)]]) ).
cnf(refute_0_417,plain,
( double_divide(inverse(X_17),multiply(X_17,multiply(X,inverse(multiply(X_62,inverse(X_62)))))) != double_divide(inverse(multiply(X_62,inverse(X_62))),X)
| double_divide(inverse(X_17),multiply(X_17,X)) = double_divide(inverse(multiply(X_62,inverse(X_62))),X) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(multiply(X_62,inverse(X_62)))),X) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
double_divide(inverse(X_17),multiply(X_17,X)) = double_divide(inverse(multiply(X_62,inverse(X_62))),X),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,multiply(X,inverse(multiply(X_62,inverse(X_62)))))),double_divide(inverse(multiply(X_62,inverse(X_62))),X)) )],[refute_0_414,refute_0_417]) ).
cnf(refute_0_419,plain,
double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(multiply(X_64,inverse(X_64)),multiply(X,Y))) = double_divide(Y,X),
inference(subst,[],[refute_0_73:[bind(X_17,$fot(multiply(X_64,inverse(X_64))))]]) ).
cnf(refute_0_420,plain,
multiply(multiply(X_64,inverse(X_64)),multiply(X,Y)) = multiply(X,Y),
inference(subst,[],[refute_0_404:[bind(Y,$fot(multiply(X,Y))),bind(X_62,$fot(X_64))]]) ).
cnf(refute_0_421,plain,
( multiply(multiply(X_64,inverse(X_64)),multiply(X,Y)) != multiply(X,Y)
| double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(multiply(X_64,inverse(X_64)),multiply(X,Y))) != double_divide(Y,X)
| double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(X,Y)) = double_divide(Y,X) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(multiply(X_64,inverse(X_64)),multiply(X,Y))),double_divide(Y,X)) ),[0,1],$fot(multiply(X,Y))]]) ).
cnf(refute_0_422,plain,
( double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(multiply(X_64,inverse(X_64)),multiply(X,Y))) != double_divide(Y,X)
| double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(X,Y)) = double_divide(Y,X) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_64,inverse(X_64)),multiply(X,Y)),multiply(X,Y)) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(X,Y)) = double_divide(Y,X),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(multiply(X_64,inverse(X_64)),multiply(X,Y))),double_divide(Y,X)) )],[refute_0_419,refute_0_422]) ).
cnf(refute_0_424,plain,
multiply(multiply(X_64,inverse(X_64)),inverse(multiply(X,Y))) = inverse(multiply(X,Y)),
inference(subst,[],[refute_0_404:[bind(Y,$fot(inverse(multiply(X,Y)))),bind(X_62,$fot(X_64))]]) ).
cnf(refute_0_425,plain,
double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(X,Y)) = multiply(multiply(X_64,inverse(X_64)),inverse(multiply(X,Y))),
inference(subst,[],[refute_0_235:[bind(X_12,$fot(multiply(X,Y))),bind(X_15,$fot(multiply(X_64,inverse(X_64))))]]) ).
cnf(refute_0_426,plain,
( multiply(multiply(X_64,inverse(X_64)),inverse(multiply(X,Y))) != inverse(multiply(X,Y))
| double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(X,Y)) != multiply(multiply(X_64,inverse(X_64)),inverse(multiply(X,Y)))
| double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(X,Y)) = inverse(multiply(X,Y)) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(X,Y)))),bind(Y0,$fot(multiply(multiply(X_64,inverse(X_64)),inverse(multiply(X,Y))))),bind(Z0,$fot(inverse(multiply(X,Y))))]]) ).
cnf(refute_0_427,plain,
( multiply(multiply(X_64,inverse(X_64)),inverse(multiply(X,Y))) != inverse(multiply(X,Y))
| double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(X,Y)) = inverse(multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(X,Y)),multiply(multiply(X_64,inverse(X_64)),inverse(multiply(X,Y)))) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(X,Y)) = inverse(multiply(X,Y)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_64,inverse(X_64)),inverse(multiply(X,Y))),inverse(multiply(X,Y))) )],[refute_0_424,refute_0_427]) ).
cnf(refute_0_429,plain,
( double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(X,Y)) != double_divide(Y,X)
| double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(X,Y)) != inverse(multiply(X,Y))
| inverse(multiply(X,Y)) = double_divide(Y,X) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(X,Y)),double_divide(Y,X)) ),[0],$fot(inverse(multiply(X,Y)))]]) ).
cnf(refute_0_430,plain,
( double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(X,Y)) != double_divide(Y,X)
| inverse(multiply(X,Y)) = double_divide(Y,X) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(X,Y)),inverse(multiply(X,Y))) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
inverse(multiply(X,Y)) = double_divide(Y,X),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X_64,inverse(X_64))),multiply(X,Y)),double_divide(Y,X)) )],[refute_0_423,refute_0_430]) ).
cnf(refute_0_432,plain,
inverse(multiply(X_17,X)) = double_divide(X,X_17),
inference(subst,[],[refute_0_431:[bind(X,$fot(X_17)),bind(Y,$fot(X))]]) ).
cnf(refute_0_433,plain,
multiply(X_17,inverse(multiply(X_17,X))) = multiply(X_17,inverse(multiply(X_17,X))),
introduced(tautology,[refl,[$fot(multiply(X_17,inverse(multiply(X_17,X))))]]) ).
cnf(refute_0_434,plain,
( multiply(X_17,inverse(multiply(X_17,X))) != multiply(X_17,inverse(multiply(X_17,X)))
| inverse(multiply(X_17,X)) != double_divide(X,X_17)
| multiply(X_17,inverse(multiply(X_17,X))) = multiply(X_17,double_divide(X,X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_17,inverse(multiply(X_17,X))),multiply(X_17,inverse(multiply(X_17,X)))) ),[1,1],$fot(double_divide(X,X_17))]]) ).
cnf(refute_0_435,plain,
( inverse(multiply(X_17,X)) != double_divide(X,X_17)
| multiply(X_17,inverse(multiply(X_17,X))) = multiply(X_17,double_divide(X,X_17)) ),
inference(resolve,[$cnf( $equal(multiply(X_17,inverse(multiply(X_17,X))),multiply(X_17,inverse(multiply(X_17,X)))) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
multiply(X_17,inverse(multiply(X_17,X))) = multiply(X_17,double_divide(X,X_17)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_17,X)),double_divide(X,X_17)) )],[refute_0_432,refute_0_435]) ).
cnf(refute_0_437,plain,
double_divide(inverse(X_17),multiply(X_17,X)) = multiply(X_17,inverse(multiply(X_17,X))),
inference(subst,[],[refute_0_235:[bind(X_12,$fot(multiply(X_17,X))),bind(X_15,$fot(X_17))]]) ).
cnf(refute_0_438,plain,
( multiply(X_17,inverse(multiply(X_17,X))) != multiply(X_17,double_divide(X,X_17))
| double_divide(inverse(X_17),multiply(X_17,X)) != multiply(X_17,inverse(multiply(X_17,X)))
| double_divide(inverse(X_17),multiply(X_17,X)) = multiply(X_17,double_divide(X,X_17)) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(double_divide(inverse(X_17),multiply(X_17,X)))),bind(Y0,$fot(multiply(X_17,inverse(multiply(X_17,X))))),bind(Z0,$fot(multiply(X_17,double_divide(X,X_17))))]]) ).
cnf(refute_0_439,plain,
( multiply(X_17,inverse(multiply(X_17,X))) != multiply(X_17,double_divide(X,X_17))
| double_divide(inverse(X_17),multiply(X_17,X)) = multiply(X_17,double_divide(X,X_17)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,X)),multiply(X_17,inverse(multiply(X_17,X)))) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
double_divide(inverse(X_17),multiply(X_17,X)) = multiply(X_17,double_divide(X,X_17)),
inference(resolve,[$cnf( $equal(multiply(X_17,inverse(multiply(X_17,X))),multiply(X_17,double_divide(X,X_17))) )],[refute_0_436,refute_0_439]) ).
cnf(refute_0_441,plain,
( double_divide(inverse(X_17),multiply(X_17,X)) != multiply(X_17,double_divide(X,X_17))
| double_divide(inverse(X_17),multiply(X_17,X)) != double_divide(inverse(multiply(X_62,inverse(X_62))),X)
| multiply(X_17,double_divide(X,X_17)) = double_divide(inverse(multiply(X_62,inverse(X_62))),X) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,X)),double_divide(inverse(multiply(X_62,inverse(X_62))),X)) ),[0],$fot(multiply(X_17,double_divide(X,X_17)))]]) ).
cnf(refute_0_442,plain,
( double_divide(inverse(X_17),multiply(X_17,X)) != double_divide(inverse(multiply(X_62,inverse(X_62))),X)
| multiply(X_17,double_divide(X,X_17)) = double_divide(inverse(multiply(X_62,inverse(X_62))),X) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,X)),multiply(X_17,double_divide(X,X_17))) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
multiply(multiply(X_62,inverse(X_62)),inverse(X)) = inverse(X),
inference(subst,[],[refute_0_404:[bind(Y,$fot(inverse(X)))]]) ).
cnf(refute_0_444,plain,
double_divide(inverse(multiply(X_62,inverse(X_62))),X) = multiply(multiply(X_62,inverse(X_62)),inverse(X)),
inference(subst,[],[refute_0_235:[bind(X_12,$fot(X)),bind(X_15,$fot(multiply(X_62,inverse(X_62))))]]) ).
cnf(refute_0_445,plain,
( multiply(multiply(X_62,inverse(X_62)),inverse(X)) != inverse(X)
| double_divide(inverse(multiply(X_62,inverse(X_62))),X) != multiply(multiply(X_62,inverse(X_62)),inverse(X))
| double_divide(inverse(multiply(X_62,inverse(X_62))),X) = inverse(X) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(double_divide(inverse(multiply(X_62,inverse(X_62))),X))),bind(Y0,$fot(multiply(multiply(X_62,inverse(X_62)),inverse(X)))),bind(Z0,$fot(inverse(X)))]]) ).
cnf(refute_0_446,plain,
( multiply(multiply(X_62,inverse(X_62)),inverse(X)) != inverse(X)
| double_divide(inverse(multiply(X_62,inverse(X_62))),X) = inverse(X) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X_62,inverse(X_62))),X),multiply(multiply(X_62,inverse(X_62)),inverse(X))) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
double_divide(inverse(multiply(X_62,inverse(X_62))),X) = inverse(X),
inference(resolve,[$cnf( $equal(multiply(multiply(X_62,inverse(X_62)),inverse(X)),inverse(X)) )],[refute_0_443,refute_0_446]) ).
cnf(refute_0_448,plain,
( multiply(X_17,double_divide(X,X_17)) != double_divide(inverse(multiply(X_62,inverse(X_62))),X)
| double_divide(inverse(multiply(X_62,inverse(X_62))),X) != inverse(X)
| multiply(X_17,double_divide(X,X_17)) = inverse(X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_17,double_divide(X,X_17)),inverse(X)) ),[0],$fot(double_divide(inverse(multiply(X_62,inverse(X_62))),X))]]) ).
cnf(refute_0_449,plain,
( multiply(X_17,double_divide(X,X_17)) != double_divide(inverse(multiply(X_62,inverse(X_62))),X)
| multiply(X_17,double_divide(X,X_17)) = inverse(X) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X_62,inverse(X_62))),X),inverse(X)) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
( double_divide(inverse(X_17),multiply(X_17,X)) != double_divide(inverse(multiply(X_62,inverse(X_62))),X)
| multiply(X_17,double_divide(X,X_17)) = inverse(X) ),
inference(resolve,[$cnf( $equal(multiply(X_17,double_divide(X,X_17)),double_divide(inverse(multiply(X_62,inverse(X_62))),X)) )],[refute_0_442,refute_0_449]) ).
cnf(refute_0_451,plain,
multiply(X_17,double_divide(X,X_17)) = inverse(X),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,X)),double_divide(inverse(multiply(X_62,inverse(X_62))),X)) )],[refute_0_418,refute_0_450]) ).
cnf(refute_0_452,plain,
multiply(X_17,double_divide(Y,X_17)) = inverse(Y),
inference(subst,[],[refute_0_451:[bind(X,$fot(Y))]]) ).
cnf(refute_0_453,plain,
inverse(multiply(X_17,Y)) = double_divide(Y,X_17),
inference(subst,[],[refute_0_431:[bind(X,$fot(X_17))]]) ).
cnf(refute_0_454,plain,
multiply(X_17,inverse(multiply(X_17,Y))) = multiply(X_17,inverse(multiply(X_17,Y))),
introduced(tautology,[refl,[$fot(multiply(X_17,inverse(multiply(X_17,Y))))]]) ).
cnf(refute_0_455,plain,
( multiply(X_17,inverse(multiply(X_17,Y))) != multiply(X_17,inverse(multiply(X_17,Y)))
| inverse(multiply(X_17,Y)) != double_divide(Y,X_17)
| multiply(X_17,inverse(multiply(X_17,Y))) = multiply(X_17,double_divide(Y,X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_17,inverse(multiply(X_17,Y))),multiply(X_17,inverse(multiply(X_17,Y)))) ),[1,1],$fot(double_divide(Y,X_17))]]) ).
cnf(refute_0_456,plain,
( inverse(multiply(X_17,Y)) != double_divide(Y,X_17)
| multiply(X_17,inverse(multiply(X_17,Y))) = multiply(X_17,double_divide(Y,X_17)) ),
inference(resolve,[$cnf( $equal(multiply(X_17,inverse(multiply(X_17,Y))),multiply(X_17,inverse(multiply(X_17,Y)))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
multiply(X_17,inverse(multiply(X_17,Y))) = multiply(X_17,double_divide(Y,X_17)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_17,Y)),double_divide(Y,X_17)) )],[refute_0_453,refute_0_456]) ).
cnf(refute_0_458,plain,
( multiply(X_17,double_divide(Y,X_17)) != inverse(Y)
| multiply(X_17,inverse(multiply(X_17,Y))) != multiply(X_17,double_divide(Y,X_17))
| multiply(X_17,inverse(multiply(X_17,Y))) = inverse(Y) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(multiply(X_17,inverse(multiply(X_17,Y))))),bind(Y0,$fot(multiply(X_17,double_divide(Y,X_17)))),bind(Z0,$fot(inverse(Y)))]]) ).
cnf(refute_0_459,plain,
( multiply(X_17,double_divide(Y,X_17)) != inverse(Y)
| multiply(X_17,inverse(multiply(X_17,Y))) = inverse(Y) ),
inference(resolve,[$cnf( $equal(multiply(X_17,inverse(multiply(X_17,Y))),multiply(X_17,double_divide(Y,X_17))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
multiply(X_17,inverse(multiply(X_17,Y))) = inverse(Y),
inference(resolve,[$cnf( $equal(multiply(X_17,double_divide(Y,X_17)),inverse(Y)) )],[refute_0_452,refute_0_459]) ).
cnf(refute_0_461,plain,
double_divide(inverse(X_17),multiply(X_17,Y)) = multiply(X_17,inverse(multiply(X_17,Y))),
inference(subst,[],[refute_0_235:[bind(X_12,$fot(multiply(X_17,Y))),bind(X_15,$fot(X_17))]]) ).
cnf(refute_0_462,plain,
( multiply(X_17,inverse(multiply(X_17,Y))) != inverse(Y)
| double_divide(inverse(X_17),multiply(X_17,Y)) != multiply(X_17,inverse(multiply(X_17,Y)))
| double_divide(inverse(X_17),multiply(X_17,Y)) = inverse(Y) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(double_divide(inverse(X_17),multiply(X_17,Y)))),bind(Y0,$fot(multiply(X_17,inverse(multiply(X_17,Y))))),bind(Z0,$fot(inverse(Y)))]]) ).
cnf(refute_0_463,plain,
( multiply(X_17,inverse(multiply(X_17,Y))) != inverse(Y)
| double_divide(inverse(X_17),multiply(X_17,Y)) = inverse(Y) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,Y)),multiply(X_17,inverse(multiply(X_17,Y)))) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
double_divide(inverse(X_17),multiply(X_17,Y)) = inverse(Y),
inference(resolve,[$cnf( $equal(multiply(X_17,inverse(multiply(X_17,Y))),inverse(Y)) )],[refute_0_460,refute_0_463]) ).
cnf(refute_0_465,plain,
( double_divide(inverse(X_17),multiply(X_17,Y)) != double_divide(Y,multiply(X_64,inverse(X_64)))
| double_divide(inverse(X_17),multiply(X_17,Y)) != inverse(Y)
| inverse(Y) = double_divide(Y,multiply(X_64,inverse(X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,Y)),double_divide(Y,multiply(X_64,inverse(X_64)))) ),[0],$fot(inverse(Y))]]) ).
cnf(refute_0_466,plain,
( double_divide(inverse(X_17),multiply(X_17,Y)) != double_divide(Y,multiply(X_64,inverse(X_64)))
| inverse(Y) = double_divide(Y,multiply(X_64,inverse(X_64))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,Y)),inverse(Y)) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
inverse(Y) = double_divide(Y,multiply(X_64,inverse(X_64))),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,Y)),double_divide(Y,multiply(X_64,inverse(X_64)))) )],[refute_0_413,refute_0_466]) ).
cnf(refute_0_468,plain,
( inverse(Y) != double_divide(Y,multiply(X_64,inverse(X_64)))
| double_divide(Y,multiply(X_64,inverse(X_64))) = inverse(Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(Y))),bind(Y0,$fot(double_divide(Y,multiply(X_64,inverse(X_64)))))]]) ).
cnf(refute_0_469,plain,
double_divide(Y,multiply(X_64,inverse(X_64))) = inverse(Y),
inference(resolve,[$cnf( $equal(inverse(Y),double_divide(Y,multiply(X_64,inverse(X_64)))) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
double_divide(X_83,multiply(X_62,inverse(X_62))) = inverse(X_83),
inference(subst,[],[refute_0_469:[bind(Y,$fot(X_83)),bind(X_64,$fot(X_62))]]) ).
cnf(refute_0_471,plain,
( double_divide(X_83,multiply(X_62,inverse(X_62))) != inverse(X_83)
| double_divide(multiply(multiply(X_81,X_83),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) != double_divide(X_83,multiply(X_62,inverse(X_62)))
| double_divide(multiply(multiply(X_81,X_83),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) = inverse(X_83) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_81,X_83),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84),double_divide(X_83,multiply(X_62,inverse(X_62)))) ),[1],$fot(inverse(X_83))]]) ).
cnf(refute_0_472,plain,
( double_divide(multiply(multiply(X_81,X_83),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) != double_divide(X_83,multiply(X_62,inverse(X_62)))
| double_divide(multiply(multiply(X_81,X_83),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) = inverse(X_83) ),
inference(resolve,[$cnf( $equal(double_divide(X_83,multiply(X_62,inverse(X_62))),inverse(X_83)) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
double_divide(multiply(multiply(X_81,X_83),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) = inverse(X_83),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_81,X_83),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84),double_divide(X_83,multiply(X_62,inverse(X_62)))) )],[refute_0_408,refute_0_472]) ).
cnf(refute_0_474,plain,
double_divide(multiply(multiply(X_81,inverse(X_16)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) = inverse(inverse(X_16)),
inference(subst,[],[refute_0_473:[bind(X_83,$fot(inverse(X_16)))]]) ).
cnf(refute_0_475,plain,
( double_divide(multiply(multiply(X_81,inverse(X_16)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) != inverse(inverse(X_16))
| inverse(inverse(X_16)) != X_16
| double_divide(multiply(multiply(X_81,inverse(X_16)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) = X_16 ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(double_divide(multiply(multiply(X_81,inverse(X_16)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84))),bind(Y0,$fot(inverse(inverse(X_16)))),bind(Z0,$fot(X_16))]]) ).
cnf(refute_0_476,plain,
( inverse(inverse(X_16)) != X_16
| double_divide(multiply(multiply(X_81,inverse(X_16)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) = X_16 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_81,inverse(X_16)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84),inverse(inverse(X_16))) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
double_divide(multiply(multiply(X_81,inverse(X_16)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) = X_16,
inference(resolve,[$cnf( $equal(inverse(inverse(X_16)),X_16) )],[refute_0_375,refute_0_476]) ).
cnf(refute_0_478,plain,
( double_divide(multiply(multiply(X_81,inverse(X_16)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) != X_16
| double_divide(multiply(multiply(X_81,inverse(X_16)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) != double_divide(multiply(inverse(X_16),X_35),inverse(X_35))
| X_16 = double_divide(multiply(inverse(X_16),X_35),inverse(X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_81,inverse(X_16)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84),double_divide(multiply(inverse(X_16),X_35),inverse(X_35))) ),[0],$fot(X_16)]]) ).
cnf(refute_0_479,plain,
( double_divide(multiply(multiply(X_81,inverse(X_16)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) != double_divide(multiply(inverse(X_16),X_35),inverse(X_35))
| X_16 = double_divide(multiply(inverse(X_16),X_35),inverse(X_35)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_81,inverse(X_16)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84),X_16) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
X_16 = double_divide(multiply(inverse(X_16),X_35),inverse(X_35)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_81,inverse(X_16)),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84),double_divide(multiply(inverse(X_16),X_35),inverse(X_35))) )],[refute_0_374,refute_0_479]) ).
cnf(refute_0_481,plain,
double_divide(multiply(multiply(inverse(X_83),multiply(inverse(X_16),X_83)),multiply(X_80,double_divide(multiply(X_84,X_80),inverse(X_83)))),X_84) = double_divide(X_83,inverse(X_16)),
inference(subst,[],[refute_0_348:[bind(X,$fot(X_80)),bind(Y,$fot(inverse(X_83))),bind(X_5,$fot(inverse(X_16))),bind(X_6,$fot(X_83)),bind(X_8,$fot(X_84))]]) ).
cnf(refute_0_482,plain,
multiply(inverse(X_83),multiply(inverse(X_16),X_83)) = inverse(X_16),
inference(subst,[],[refute_0_371:[bind(X_35,$fot(X_83))]]) ).
cnf(refute_0_483,plain,
( multiply(inverse(X_83),multiply(inverse(X_16),X_83)) != inverse(X_16)
| double_divide(multiply(multiply(inverse(X_83),multiply(inverse(X_16),X_83)),multiply(X_80,double_divide(multiply(X_84,X_80),inverse(X_83)))),X_84) != double_divide(X_83,inverse(X_16))
| double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),inverse(X_83)))),X_84) = double_divide(X_83,inverse(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_83),multiply(inverse(X_16),X_83)),multiply(X_80,double_divide(multiply(X_84,X_80),inverse(X_83)))),X_84),double_divide(X_83,inverse(X_16))) ),[0,0,0],$fot(inverse(X_16))]]) ).
cnf(refute_0_484,plain,
( double_divide(multiply(multiply(inverse(X_83),multiply(inverse(X_16),X_83)),multiply(X_80,double_divide(multiply(X_84,X_80),inverse(X_83)))),X_84) != double_divide(X_83,inverse(X_16))
| double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),inverse(X_83)))),X_84) = double_divide(X_83,inverse(X_16)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_83),multiply(inverse(X_16),X_83)),inverse(X_16)) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),inverse(X_83)))),X_84) = double_divide(X_83,inverse(X_16)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_83),multiply(inverse(X_16),X_83)),multiply(X_80,double_divide(multiply(X_84,X_80),inverse(X_83)))),X_84),double_divide(X_83,inverse(X_16))) )],[refute_0_481,refute_0_484]) ).
cnf(refute_0_486,plain,
double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25) = double_divide(X_22,multiply(double_divide(X_22,double_divide(multiply(multiply(double_divide(X,X_25),inverse(Y)),X),X_25)),inverse(X_23))),
inference(subst,[],[refute_0_65:[bind(Y,$fot(X_22)),bind(X_11,$fot(X_23)),bind(X_2,$fot(multiply(multiply(double_divide(X,X_25),inverse(Y)),X))),bind(X_4,$fot(X_25))]]) ).
cnf(refute_0_487,plain,
double_divide(multiply(multiply(double_divide(X,X_25),inverse(Y)),X),X_25) = Y,
inference(subst,[],[refute_0_22:[bind(Z,$fot(X_25))]]) ).
cnf(refute_0_488,plain,
( double_divide(multiply(multiply(double_divide(X,X_25),inverse(Y)),X),X_25) != Y
| double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25) != double_divide(X_22,multiply(double_divide(X_22,double_divide(multiply(multiply(double_divide(X,X_25),inverse(Y)),X),X_25)),inverse(X_23)))
| double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25) = double_divide(X_22,multiply(double_divide(X_22,Y),inverse(X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25),double_divide(X_22,multiply(double_divide(X_22,double_divide(multiply(multiply(double_divide(X,X_25),inverse(Y)),X),X_25)),inverse(X_23)))) ),[1,1,0,1],$fot(Y)]]) ).
cnf(refute_0_489,plain,
( double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25) != double_divide(X_22,multiply(double_divide(X_22,double_divide(multiply(multiply(double_divide(X,X_25),inverse(Y)),X),X_25)),inverse(X_23)))
| double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25) = double_divide(X_22,multiply(double_divide(X_22,Y),inverse(X_23))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X,X_25),inverse(Y)),X),X_25),Y) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25) = double_divide(X_22,multiply(double_divide(X_22,Y),inverse(X_23))),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25),double_divide(X_22,multiply(double_divide(X_22,double_divide(multiply(multiply(double_divide(X,X_25),inverse(Y)),X),X_25)),inverse(X_23)))) )],[refute_0_486,refute_0_489]) ).
cnf(refute_0_491,plain,
double_divide(X_22,multiply(double_divide(X_22,Y),inverse(X_23))) = double_divide(inverse(Y),inverse(X_23)),
inference(subst,[],[refute_0_80:[bind(X_27,$fot(X_22)),bind(X_28,$fot(Y)),bind(X_3,$fot(X_23))]]) ).
cnf(refute_0_492,plain,
( double_divide(X_22,multiply(double_divide(X_22,Y),inverse(X_23))) != double_divide(inverse(Y),inverse(X_23))
| double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25) != double_divide(X_22,multiply(double_divide(X_22,Y),inverse(X_23)))
| double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25) = double_divide(inverse(Y),inverse(X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25),double_divide(X_22,multiply(double_divide(X_22,Y),inverse(X_23)))) ),[1],$fot(double_divide(inverse(Y),inverse(X_23)))]]) ).
cnf(refute_0_493,plain,
( double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25) != double_divide(X_22,multiply(double_divide(X_22,Y),inverse(X_23)))
| double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25) = double_divide(inverse(Y),inverse(X_23)) ),
inference(resolve,[$cnf( $equal(double_divide(X_22,multiply(double_divide(X_22,Y),inverse(X_23))),double_divide(inverse(Y),inverse(X_23))) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25) = double_divide(inverse(Y),inverse(X_23)),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25),double_divide(X_22,multiply(double_divide(X_22,Y),inverse(X_23)))) )],[refute_0_490,refute_0_493]) ).
cnf(refute_0_495,plain,
multiply(double_divide(X,X_25),inverse(Y)) = double_divide(multiply(X_25,X),Y),
inference(subst,[],[refute_0_328:[bind(X,$fot(X_25)),bind(Y,$fot(X)),bind(X_16,$fot(Y))]]) ).
cnf(refute_0_496,plain,
multiply(X,multiply(double_divide(X,X_25),inverse(Y))) = multiply(X,multiply(double_divide(X,X_25),inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(double_divide(X,X_25),inverse(Y))))]]) ).
cnf(refute_0_497,plain,
( multiply(X,multiply(double_divide(X,X_25),inverse(Y))) != multiply(X,multiply(double_divide(X,X_25),inverse(Y)))
| multiply(double_divide(X,X_25),inverse(Y)) != double_divide(multiply(X_25,X),Y)
| multiply(X,multiply(double_divide(X,X_25),inverse(Y))) = multiply(X,double_divide(multiply(X_25,X),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(double_divide(X,X_25),inverse(Y))),multiply(X,multiply(double_divide(X,X_25),inverse(Y)))) ),[1,1],$fot(double_divide(multiply(X_25,X),Y))]]) ).
cnf(refute_0_498,plain,
( multiply(double_divide(X,X_25),inverse(Y)) != double_divide(multiply(X_25,X),Y)
| multiply(X,multiply(double_divide(X,X_25),inverse(Y))) = multiply(X,double_divide(multiply(X_25,X),Y)) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(double_divide(X,X_25),inverse(Y))),multiply(X,multiply(double_divide(X,X_25),inverse(Y)))) )],[refute_0_496,refute_0_497]) ).
cnf(refute_0_499,plain,
multiply(X,multiply(double_divide(X,X_25),inverse(Y))) = multiply(X,double_divide(multiply(X_25,X),Y)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X,X_25),inverse(Y)),double_divide(multiply(X_25,X),Y)) )],[refute_0_495,refute_0_498]) ).
cnf(refute_0_500,plain,
multiply(multiply(double_divide(X,X_25),inverse(Y)),X) = multiply(X,multiply(double_divide(X,X_25),inverse(Y))),
inference(subst,[],[refute_0_286:[bind(X,$fot(double_divide(X,X_25))),bind(Y,$fot(inverse(Y))),bind(X_39,$fot(X))]]) ).
cnf(refute_0_501,plain,
( multiply(X,multiply(double_divide(X,X_25),inverse(Y))) != multiply(X,double_divide(multiply(X_25,X),Y))
| multiply(multiply(double_divide(X,X_25),inverse(Y)),X) != multiply(X,multiply(double_divide(X,X_25),inverse(Y)))
| multiply(multiply(double_divide(X,X_25),inverse(Y)),X) = multiply(X,double_divide(multiply(X_25,X),Y)) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(multiply(multiply(double_divide(X,X_25),inverse(Y)),X))),bind(Y0,$fot(multiply(X,multiply(double_divide(X,X_25),inverse(Y))))),bind(Z0,$fot(multiply(X,double_divide(multiply(X_25,X),Y))))]]) ).
cnf(refute_0_502,plain,
( multiply(X,multiply(double_divide(X,X_25),inverse(Y))) != multiply(X,double_divide(multiply(X_25,X),Y))
| multiply(multiply(double_divide(X,X_25),inverse(Y)),X) = multiply(X,double_divide(multiply(X_25,X),Y)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X,X_25),inverse(Y)),X),multiply(X,multiply(double_divide(X,X_25),inverse(Y)))) )],[refute_0_500,refute_0_501]) ).
cnf(refute_0_503,plain,
multiply(multiply(double_divide(X,X_25),inverse(Y)),X) = multiply(X,double_divide(multiply(X_25,X),Y)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(double_divide(X,X_25),inverse(Y))),multiply(X,double_divide(multiply(X_25,X),Y))) )],[refute_0_499,refute_0_502]) ).
cnf(refute_0_504,plain,
multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)) = multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)))]]) ).
cnf(refute_0_505,plain,
( multiply(multiply(double_divide(X,X_25),inverse(Y)),X) != multiply(X,double_divide(multiply(X_25,X),Y))
| multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)) != multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X))
| multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)) = multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X))) ),[1,1],$fot(multiply(X,double_divide(multiply(X_25,X),Y)))]]) ).
cnf(refute_0_506,plain,
( multiply(multiply(double_divide(X,X_25),inverse(Y)),X) != multiply(X,double_divide(multiply(X_25,X),Y))
| multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)) = multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X))) )],[refute_0_504,refute_0_505]) ).
cnf(refute_0_507,plain,
multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)) = multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X,X_25),inverse(Y)),X),multiply(X,double_divide(multiply(X_25,X),Y))) )],[refute_0_503,refute_0_506]) ).
cnf(refute_0_508,plain,
double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25) = double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25),
introduced(tautology,[refl,[$fot(double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25))]]) ).
cnf(refute_0_509,plain,
( multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)) != multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y)))
| double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25) != double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25)
| double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25) = double_divide(multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y))),X_25) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25),double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25)) ),[1,0],$fot(multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y))))]]) ).
cnf(refute_0_510,plain,
( multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)) != multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y)))
| double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25) = double_divide(multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y))),X_25) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25),double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25)) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25) = double_divide(multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y))),X_25),
inference(resolve,[$cnf( $equal(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y)))) )],[refute_0_507,refute_0_510]) ).
cnf(refute_0_512,plain,
( double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25) != double_divide(multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y))),X_25)
| double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25) != double_divide(inverse(Y),inverse(X_23))
| double_divide(multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y))),X_25) = double_divide(inverse(Y),inverse(X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25),double_divide(inverse(Y),inverse(X_23))) ),[0],$fot(double_divide(multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y))),X_25))]]) ).
cnf(refute_0_513,plain,
( double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25) != double_divide(inverse(Y),inverse(X_23))
| double_divide(multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y))),X_25) = double_divide(inverse(Y),inverse(X_23)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25),double_divide(multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y))),X_25)) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
inverse(inverse(X_23)) = X_23,
inference(subst,[],[refute_0_224:[bind(X_47,$fot(X_23))]]) ).
cnf(refute_0_515,plain,
multiply(Y,inverse(inverse(X_23))) = multiply(Y,inverse(inverse(X_23))),
introduced(tautology,[refl,[$fot(multiply(Y,inverse(inverse(X_23))))]]) ).
cnf(refute_0_516,plain,
( multiply(Y,inverse(inverse(X_23))) != multiply(Y,inverse(inverse(X_23)))
| inverse(inverse(X_23)) != X_23
| multiply(Y,inverse(inverse(X_23))) = multiply(Y,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,inverse(inverse(X_23))),multiply(Y,inverse(inverse(X_23)))) ),[1,1],$fot(X_23)]]) ).
cnf(refute_0_517,plain,
( inverse(inverse(X_23)) != X_23
| multiply(Y,inverse(inverse(X_23))) = multiply(Y,X_23) ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(inverse(X_23))),multiply(Y,inverse(inverse(X_23)))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
multiply(Y,inverse(inverse(X_23))) = multiply(Y,X_23),
inference(resolve,[$cnf( $equal(inverse(inverse(X_23)),X_23) )],[refute_0_514,refute_0_517]) ).
cnf(refute_0_519,plain,
double_divide(inverse(Y),inverse(X_23)) = multiply(Y,inverse(inverse(X_23))),
inference(subst,[],[refute_0_235:[bind(X_12,$fot(inverse(X_23))),bind(X_15,$fot(Y))]]) ).
cnf(refute_0_520,plain,
( multiply(Y,inverse(inverse(X_23))) != multiply(Y,X_23)
| double_divide(inverse(Y),inverse(X_23)) != multiply(Y,inverse(inverse(X_23)))
| double_divide(inverse(Y),inverse(X_23)) = multiply(Y,X_23) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(double_divide(inverse(Y),inverse(X_23)))),bind(Y0,$fot(multiply(Y,inverse(inverse(X_23))))),bind(Z0,$fot(multiply(Y,X_23)))]]) ).
cnf(refute_0_521,plain,
( multiply(Y,inverse(inverse(X_23))) != multiply(Y,X_23)
| double_divide(inverse(Y),inverse(X_23)) = multiply(Y,X_23) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(Y),inverse(X_23)),multiply(Y,inverse(inverse(X_23)))) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
double_divide(inverse(Y),inverse(X_23)) = multiply(Y,X_23),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(inverse(X_23))),multiply(Y,X_23)) )],[refute_0_518,refute_0_521]) ).
cnf(refute_0_523,plain,
( double_divide(multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y))),X_25) != double_divide(inverse(Y),inverse(X_23))
| double_divide(inverse(Y),inverse(X_23)) != multiply(Y,X_23)
| double_divide(multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y))),X_25) = multiply(Y,X_23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y))),X_25),multiply(Y,X_23)) ),[0],$fot(double_divide(inverse(Y),inverse(X_23)))]]) ).
cnf(refute_0_524,plain,
( double_divide(multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y))),X_25) != double_divide(inverse(Y),inverse(X_23))
| double_divide(multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y))),X_25) = multiply(Y,X_23) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(Y),inverse(X_23)),multiply(Y,X_23)) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
( double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25) != double_divide(inverse(Y),inverse(X_23))
| double_divide(multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y))),X_25) = multiply(Y,X_23) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y))),X_25),double_divide(inverse(Y),inverse(X_23))) )],[refute_0_513,refute_0_524]) ).
cnf(refute_0_526,plain,
double_divide(multiply(inverse(X_23),multiply(X,double_divide(multiply(X_25,X),Y))),X_25) = multiply(Y,X_23),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_23),multiply(multiply(double_divide(X,X_25),inverse(Y)),X)),X_25),double_divide(inverse(Y),inverse(X_23))) )],[refute_0_494,refute_0_525]) ).
cnf(refute_0_527,plain,
double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),inverse(X_83)))),X_84) = multiply(inverse(X_83),X_16),
inference(subst,[],[refute_0_526:[bind(X,$fot(X_80)),bind(Y,$fot(inverse(X_83))),bind(X_23,$fot(X_16)),bind(X_25,$fot(X_84))]]) ).
cnf(refute_0_528,plain,
( double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),inverse(X_83)))),X_84) != multiply(inverse(X_83),X_16)
| double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),inverse(X_83)))),X_84) != double_divide(X_83,inverse(X_16))
| multiply(inverse(X_83),X_16) = double_divide(X_83,inverse(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),inverse(X_83)))),X_84),double_divide(X_83,inverse(X_16))) ),[0],$fot(multiply(inverse(X_83),X_16))]]) ).
cnf(refute_0_529,plain,
( double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),inverse(X_83)))),X_84) != double_divide(X_83,inverse(X_16))
| multiply(inverse(X_83),X_16) = double_divide(X_83,inverse(X_16)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),inverse(X_83)))),X_84),multiply(inverse(X_83),X_16)) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
multiply(inverse(X_83),X_16) = double_divide(X_83,inverse(X_16)),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),inverse(X_83)))),X_84),double_divide(X_83,inverse(X_16))) )],[refute_0_485,refute_0_529]) ).
cnf(refute_0_531,plain,
( multiply(inverse(X_83),X_16) != double_divide(X_83,inverse(X_16))
| double_divide(X_83,inverse(X_16)) = multiply(inverse(X_83),X_16) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_83),X_16))),bind(Y0,$fot(double_divide(X_83,inverse(X_16))))]]) ).
cnf(refute_0_532,plain,
double_divide(X_83,inverse(X_16)) = multiply(inverse(X_83),X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(X_83),X_16),double_divide(X_83,inverse(X_16))) )],[refute_0_530,refute_0_531]) ).
cnf(refute_0_533,plain,
double_divide(X_35,inverse(X_16)) = multiply(inverse(X_35),X_16),
inference(subst,[],[refute_0_532:[bind(X_83,$fot(X_35))]]) ).
cnf(refute_0_534,plain,
inverse(multiply(inverse(X_16),X_35)) = double_divide(X_35,inverse(X_16)),
inference(subst,[],[refute_0_431:[bind(X,$fot(inverse(X_16))),bind(Y,$fot(X_35))]]) ).
cnf(refute_0_535,plain,
( double_divide(X_35,inverse(X_16)) != multiply(inverse(X_35),X_16)
| inverse(multiply(inverse(X_16),X_35)) != double_divide(X_35,inverse(X_16))
| inverse(multiply(inverse(X_16),X_35)) = multiply(inverse(X_35),X_16) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(inverse(multiply(inverse(X_16),X_35)))),bind(Y0,$fot(double_divide(X_35,inverse(X_16)))),bind(Z0,$fot(multiply(inverse(X_35),X_16)))]]) ).
cnf(refute_0_536,plain,
( double_divide(X_35,inverse(X_16)) != multiply(inverse(X_35),X_16)
| inverse(multiply(inverse(X_16),X_35)) = multiply(inverse(X_35),X_16) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_16),X_35)),double_divide(X_35,inverse(X_16))) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
inverse(multiply(inverse(X_16),X_35)) = multiply(inverse(X_35),X_16),
inference(resolve,[$cnf( $equal(double_divide(X_35,inverse(X_16)),multiply(inverse(X_35),X_16)) )],[refute_0_533,refute_0_536]) ).
cnf(refute_0_538,plain,
multiply(X_35,inverse(multiply(inverse(X_16),X_35))) = multiply(X_35,inverse(multiply(inverse(X_16),X_35))),
introduced(tautology,[refl,[$fot(multiply(X_35,inverse(multiply(inverse(X_16),X_35))))]]) ).
cnf(refute_0_539,plain,
( multiply(X_35,inverse(multiply(inverse(X_16),X_35))) != multiply(X_35,inverse(multiply(inverse(X_16),X_35)))
| inverse(multiply(inverse(X_16),X_35)) != multiply(inverse(X_35),X_16)
| multiply(X_35,inverse(multiply(inverse(X_16),X_35))) = multiply(X_35,multiply(inverse(X_35),X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_35,inverse(multiply(inverse(X_16),X_35))),multiply(X_35,inverse(multiply(inverse(X_16),X_35)))) ),[1,1],$fot(multiply(inverse(X_35),X_16))]]) ).
cnf(refute_0_540,plain,
( inverse(multiply(inverse(X_16),X_35)) != multiply(inverse(X_35),X_16)
| multiply(X_35,inverse(multiply(inverse(X_16),X_35))) = multiply(X_35,multiply(inverse(X_35),X_16)) ),
inference(resolve,[$cnf( $equal(multiply(X_35,inverse(multiply(inverse(X_16),X_35))),multiply(X_35,inverse(multiply(inverse(X_16),X_35)))) )],[refute_0_538,refute_0_539]) ).
cnf(refute_0_541,plain,
multiply(X_35,inverse(multiply(inverse(X_16),X_35))) = multiply(X_35,multiply(inverse(X_35),X_16)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_16),X_35)),multiply(inverse(X_35),X_16)) )],[refute_0_537,refute_0_540]) ).
cnf(refute_0_542,plain,
double_divide(multiply(multiply(X_81,multiply(inverse(X_81),inverse(X_16))),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) = double_divide(inverse(X_16),inverse(X_81)),
inference(subst,[],[refute_0_348:[bind(X,$fot(X_80)),bind(Y,$fot(X_81)),bind(X_5,$fot(inverse(X_81))),bind(X_6,$fot(inverse(X_16))),bind(X_8,$fot(X_84))]]) ).
cnf(refute_0_543,plain,
multiply(inverse(X_17),multiply(X_17,inverse(X_16))) = multiply(X_17,multiply(inverse(X_17),inverse(X_16))),
inference(subst,[],[refute_0_166:[bind(X,$fot(X_17)),bind(X_5,$fot(inverse(X_17))),bind(X_7,$fot(inverse(X_16)))]]) ).
cnf(refute_0_544,plain,
( multiply(inverse(X_38),X_37) != multiply(X_37,inverse(X_38))
| multiply(X_37,inverse(X_38)) = multiply(inverse(X_38),X_37) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_38),X_37))),bind(Y0,$fot(multiply(X_37,inverse(X_38))))]]) ).
cnf(refute_0_545,plain,
multiply(X_37,inverse(X_38)) = multiply(inverse(X_38),X_37),
inference(resolve,[$cnf( $equal(multiply(inverse(X_38),X_37),multiply(X_37,inverse(X_38))) )],[refute_0_242,refute_0_544]) ).
cnf(refute_0_546,plain,
multiply(multiply(X_17,inverse(X_16)),inverse(X_17)) = multiply(inverse(X_17),multiply(X_17,inverse(X_16))),
inference(subst,[],[refute_0_545:[bind(X_37,$fot(multiply(X_17,inverse(X_16)))),bind(X_38,$fot(X_17))]]) ).
cnf(refute_0_547,plain,
( multiply(multiply(X_17,inverse(X_16)),inverse(X_17)) != multiply(inverse(X_17),multiply(X_17,inverse(X_16)))
| multiply(inverse(X_17),multiply(X_17,inverse(X_16))) != multiply(X_17,multiply(inverse(X_17),inverse(X_16)))
| multiply(multiply(X_17,inverse(X_16)),inverse(X_17)) = multiply(X_17,multiply(inverse(X_17),inverse(X_16))) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(multiply(multiply(X_17,inverse(X_16)),inverse(X_17)))),bind(Y0,$fot(multiply(inverse(X_17),multiply(X_17,inverse(X_16))))),bind(Z0,$fot(multiply(X_17,multiply(inverse(X_17),inverse(X_16)))))]]) ).
cnf(refute_0_548,plain,
( multiply(inverse(X_17),multiply(X_17,inverse(X_16))) != multiply(X_17,multiply(inverse(X_17),inverse(X_16)))
| multiply(multiply(X_17,inverse(X_16)),inverse(X_17)) = multiply(X_17,multiply(inverse(X_17),inverse(X_16))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_17,inverse(X_16)),inverse(X_17)),multiply(inverse(X_17),multiply(X_17,inverse(X_16)))) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
multiply(multiply(X_17,inverse(X_16)),inverse(X_17)) = multiply(X_17,multiply(inverse(X_17),inverse(X_16))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_17),multiply(X_17,inverse(X_16))),multiply(X_17,multiply(inverse(X_17),inverse(X_16)))) )],[refute_0_543,refute_0_548]) ).
cnf(refute_0_550,plain,
( multiply(multiply(X_17,inverse(X_16)),inverse(X_17)) != multiply(X_17,multiply(inverse(X_17),inverse(X_16)))
| multiply(multiply(X_17,inverse(X_16)),inverse(X_17)) != inverse(X_16)
| multiply(X_17,multiply(inverse(X_17),inverse(X_16))) = inverse(X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_17,inverse(X_16)),inverse(X_17)),inverse(X_16)) ),[0],$fot(multiply(X_17,multiply(inverse(X_17),inverse(X_16))))]]) ).
cnf(refute_0_551,plain,
( multiply(multiply(X_17,inverse(X_16)),inverse(X_17)) != inverse(X_16)
| multiply(X_17,multiply(inverse(X_17),inverse(X_16))) = inverse(X_16) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_17,inverse(X_16)),inverse(X_17)),multiply(X_17,multiply(inverse(X_17),inverse(X_16)))) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
multiply(X_17,multiply(inverse(X_17),inverse(X_16))) = inverse(X_16),
inference(resolve,[$cnf( $equal(multiply(multiply(X_17,inverse(X_16)),inverse(X_17)),inverse(X_16)) )],[refute_0_47,refute_0_551]) ).
cnf(refute_0_553,plain,
multiply(X_81,multiply(inverse(X_81),inverse(X_16))) = inverse(X_16),
inference(subst,[],[refute_0_552:[bind(X_17,$fot(X_81))]]) ).
cnf(refute_0_554,plain,
( multiply(X_81,multiply(inverse(X_81),inverse(X_16))) != inverse(X_16)
| double_divide(multiply(multiply(X_81,multiply(inverse(X_81),inverse(X_16))),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) != double_divide(inverse(X_16),inverse(X_81))
| double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) = double_divide(inverse(X_16),inverse(X_81)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_81,multiply(inverse(X_81),inverse(X_16))),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84),double_divide(inverse(X_16),inverse(X_81))) ),[0,0,0],$fot(inverse(X_16))]]) ).
cnf(refute_0_555,plain,
( double_divide(multiply(multiply(X_81,multiply(inverse(X_81),inverse(X_16))),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) != double_divide(inverse(X_16),inverse(X_81))
| double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) = double_divide(inverse(X_16),inverse(X_81)) ),
inference(resolve,[$cnf( $equal(multiply(X_81,multiply(inverse(X_81),inverse(X_16))),inverse(X_16)) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) = double_divide(inverse(X_16),inverse(X_81)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_81,multiply(inverse(X_81),inverse(X_16))),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84),double_divide(inverse(X_16),inverse(X_81))) )],[refute_0_542,refute_0_555]) ).
cnf(refute_0_557,plain,
double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) = multiply(X_81,X_16),
inference(subst,[],[refute_0_526:[bind(X,$fot(X_80)),bind(Y,$fot(X_81)),bind(X_23,$fot(X_16)),bind(X_25,$fot(X_84))]]) ).
cnf(refute_0_558,plain,
( double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) != multiply(X_81,X_16)
| double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) != double_divide(inverse(X_16),inverse(X_81))
| multiply(X_81,X_16) = double_divide(inverse(X_16),inverse(X_81)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84),double_divide(inverse(X_16),inverse(X_81))) ),[0],$fot(multiply(X_81,X_16))]]) ).
cnf(refute_0_559,plain,
( double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) != double_divide(inverse(X_16),inverse(X_81))
| multiply(X_81,X_16) = double_divide(inverse(X_16),inverse(X_81)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84),multiply(X_81,X_16)) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
multiply(inverse(inverse(X_16)),X_81) = multiply(inverse(inverse(X_16)),X_81),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_16)),X_81))]]) ).
cnf(refute_0_561,plain,
( multiply(inverse(inverse(X_16)),X_81) != multiply(inverse(inverse(X_16)),X_81)
| inverse(inverse(X_16)) != X_16
| multiply(inverse(inverse(X_16)),X_81) = multiply(X_16,X_81) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_16)),X_81),multiply(inverse(inverse(X_16)),X_81)) ),[1,0],$fot(X_16)]]) ).
cnf(refute_0_562,plain,
( inverse(inverse(X_16)) != X_16
| multiply(inverse(inverse(X_16)),X_81) = multiply(X_16,X_81) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_16)),X_81),multiply(inverse(inverse(X_16)),X_81)) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
multiply(inverse(inverse(X_16)),X_81) = multiply(X_16,X_81),
inference(resolve,[$cnf( $equal(inverse(inverse(X_16)),X_16) )],[refute_0_375,refute_0_562]) ).
cnf(refute_0_564,plain,
double_divide(inverse(X_16),inverse(X_81)) = multiply(inverse(inverse(X_16)),X_81),
inference(subst,[],[refute_0_532:[bind(X_16,$fot(X_81)),bind(X_83,$fot(inverse(X_16)))]]) ).
cnf(refute_0_565,plain,
( multiply(inverse(inverse(X_16)),X_81) != multiply(X_16,X_81)
| double_divide(inverse(X_16),inverse(X_81)) != multiply(inverse(inverse(X_16)),X_81)
| double_divide(inverse(X_16),inverse(X_81)) = multiply(X_16,X_81) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(double_divide(inverse(X_16),inverse(X_81)))),bind(Y0,$fot(multiply(inverse(inverse(X_16)),X_81))),bind(Z0,$fot(multiply(X_16,X_81)))]]) ).
cnf(refute_0_566,plain,
( multiply(inverse(inverse(X_16)),X_81) != multiply(X_16,X_81)
| double_divide(inverse(X_16),inverse(X_81)) = multiply(X_16,X_81) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_16),inverse(X_81)),multiply(inverse(inverse(X_16)),X_81)) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
double_divide(inverse(X_16),inverse(X_81)) = multiply(X_16,X_81),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_16)),X_81),multiply(X_16,X_81)) )],[refute_0_563,refute_0_566]) ).
cnf(refute_0_568,plain,
( multiply(X_81,X_16) != double_divide(inverse(X_16),inverse(X_81))
| double_divide(inverse(X_16),inverse(X_81)) != multiply(X_16,X_81)
| multiply(X_81,X_16) = multiply(X_16,X_81) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_81,X_16),multiply(X_16,X_81)) ),[0],$fot(double_divide(inverse(X_16),inverse(X_81)))]]) ).
cnf(refute_0_569,plain,
( multiply(X_81,X_16) != double_divide(inverse(X_16),inverse(X_81))
| multiply(X_81,X_16) = multiply(X_16,X_81) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_16),inverse(X_81)),multiply(X_16,X_81)) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
( double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84) != double_divide(inverse(X_16),inverse(X_81))
| multiply(X_81,X_16) = multiply(X_16,X_81) ),
inference(resolve,[$cnf( $equal(multiply(X_81,X_16),double_divide(inverse(X_16),inverse(X_81))) )],[refute_0_559,refute_0_569]) ).
cnf(refute_0_571,plain,
multiply(X_81,X_16) = multiply(X_16,X_81),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_16),multiply(X_80,double_divide(multiply(X_84,X_80),X_81))),X_84),double_divide(inverse(X_16),inverse(X_81))) )],[refute_0_556,refute_0_570]) ).
cnf(refute_0_572,plain,
( multiply(X_81,X_16) != multiply(X_16,X_81)
| multiply(X_16,X_81) = multiply(X_81,X_16) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_81,X_16))),bind(Y0,$fot(multiply(X_16,X_81)))]]) ).
cnf(refute_0_573,plain,
multiply(X_16,X_81) = multiply(X_81,X_16),
inference(resolve,[$cnf( $equal(multiply(X_81,X_16),multiply(X_16,X_81)) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
multiply(inverse(multiply(inverse(X_16),X_35)),X_35) = multiply(X_35,inverse(multiply(inverse(X_16),X_35))),
inference(subst,[],[refute_0_573:[bind(X_16,$fot(inverse(multiply(inverse(X_16),X_35)))),bind(X_81,$fot(X_35))]]) ).
cnf(refute_0_575,plain,
double_divide(multiply(inverse(X_16),X_35),inverse(X_35)) = multiply(inverse(multiply(inverse(X_16),X_35)),X_35),
inference(subst,[],[refute_0_532:[bind(X_16,$fot(X_35)),bind(X_83,$fot(multiply(inverse(X_16),X_35)))]]) ).
cnf(refute_0_576,plain,
( multiply(inverse(multiply(inverse(X_16),X_35)),X_35) != multiply(X_35,inverse(multiply(inverse(X_16),X_35)))
| double_divide(multiply(inverse(X_16),X_35),inverse(X_35)) != multiply(inverse(multiply(inverse(X_16),X_35)),X_35)
| double_divide(multiply(inverse(X_16),X_35),inverse(X_35)) = multiply(X_35,inverse(multiply(inverse(X_16),X_35))) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(double_divide(multiply(inverse(X_16),X_35),inverse(X_35)))),bind(Y0,$fot(multiply(inverse(multiply(inverse(X_16),X_35)),X_35))),bind(Z0,$fot(multiply(X_35,inverse(multiply(inverse(X_16),X_35)))))]]) ).
cnf(refute_0_577,plain,
( multiply(inverse(multiply(inverse(X_16),X_35)),X_35) != multiply(X_35,inverse(multiply(inverse(X_16),X_35)))
| double_divide(multiply(inverse(X_16),X_35),inverse(X_35)) = multiply(X_35,inverse(multiply(inverse(X_16),X_35))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_16),X_35),inverse(X_35)),multiply(inverse(multiply(inverse(X_16),X_35)),X_35)) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
double_divide(multiply(inverse(X_16),X_35),inverse(X_35)) = multiply(X_35,inverse(multiply(inverse(X_16),X_35))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_16),X_35)),X_35),multiply(X_35,inverse(multiply(inverse(X_16),X_35)))) )],[refute_0_574,refute_0_577]) ).
cnf(refute_0_579,plain,
( multiply(X_35,inverse(multiply(inverse(X_16),X_35))) != multiply(X_35,multiply(inverse(X_35),X_16))
| double_divide(multiply(inverse(X_16),X_35),inverse(X_35)) != multiply(X_35,inverse(multiply(inverse(X_16),X_35)))
| double_divide(multiply(inverse(X_16),X_35),inverse(X_35)) = multiply(X_35,multiply(inverse(X_35),X_16)) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(double_divide(multiply(inverse(X_16),X_35),inverse(X_35)))),bind(Y0,$fot(multiply(X_35,inverse(multiply(inverse(X_16),X_35))))),bind(Z0,$fot(multiply(X_35,multiply(inverse(X_35),X_16))))]]) ).
cnf(refute_0_580,plain,
( multiply(X_35,inverse(multiply(inverse(X_16),X_35))) != multiply(X_35,multiply(inverse(X_35),X_16))
| double_divide(multiply(inverse(X_16),X_35),inverse(X_35)) = multiply(X_35,multiply(inverse(X_35),X_16)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_16),X_35),inverse(X_35)),multiply(X_35,inverse(multiply(inverse(X_16),X_35)))) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
double_divide(multiply(inverse(X_16),X_35),inverse(X_35)) = multiply(X_35,multiply(inverse(X_35),X_16)),
inference(resolve,[$cnf( $equal(multiply(X_35,inverse(multiply(inverse(X_16),X_35))),multiply(X_35,multiply(inverse(X_35),X_16))) )],[refute_0_541,refute_0_580]) ).
cnf(refute_0_582,plain,
( X_16 != double_divide(multiply(inverse(X_16),X_35),inverse(X_35))
| double_divide(multiply(inverse(X_16),X_35),inverse(X_35)) != multiply(X_35,multiply(inverse(X_35),X_16))
| X_16 = multiply(X_35,multiply(inverse(X_35),X_16)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_16,multiply(X_35,multiply(inverse(X_35),X_16))) ),[0],$fot(double_divide(multiply(inverse(X_16),X_35),inverse(X_35)))]]) ).
cnf(refute_0_583,plain,
( X_16 != double_divide(multiply(inverse(X_16),X_35),inverse(X_35))
| X_16 = multiply(X_35,multiply(inverse(X_35),X_16)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_16),X_35),inverse(X_35)),multiply(X_35,multiply(inverse(X_35),X_16))) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
X_16 = multiply(X_35,multiply(inverse(X_35),X_16)),
inference(resolve,[$cnf( $equal(X_16,double_divide(multiply(inverse(X_16),X_35),inverse(X_35))) )],[refute_0_480,refute_0_583]) ).
cnf(refute_0_585,plain,
multiply(Y,inverse(inverse(X_92))) = multiply(X_92,multiply(inverse(X_92),multiply(Y,inverse(inverse(X_92))))),
inference(subst,[],[refute_0_584:[bind(X_16,$fot(multiply(Y,inverse(inverse(X_92))))),bind(X_35,$fot(X_92))]]) ).
cnf(refute_0_586,plain,
multiply(inverse(X_92),multiply(Y,inverse(inverse(X_92)))) = Y,
inference(subst,[],[refute_0_118:[bind(X_35,$fot(inverse(X_92)))]]) ).
cnf(refute_0_587,plain,
( multiply(Y,inverse(inverse(X_92))) != multiply(X_92,multiply(inverse(X_92),multiply(Y,inverse(inverse(X_92)))))
| multiply(inverse(X_92),multiply(Y,inverse(inverse(X_92)))) != Y
| multiply(Y,inverse(inverse(X_92))) = multiply(X_92,Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,inverse(inverse(X_92))),multiply(X_92,multiply(inverse(X_92),multiply(Y,inverse(inverse(X_92)))))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_588,plain,
( multiply(Y,inverse(inverse(X_92))) != multiply(X_92,multiply(inverse(X_92),multiply(Y,inverse(inverse(X_92)))))
| multiply(Y,inverse(inverse(X_92))) = multiply(X_92,Y) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_92),multiply(Y,inverse(inverse(X_92)))),Y) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
multiply(Y,inverse(inverse(X_92))) = multiply(X_92,Y),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(inverse(X_92))),multiply(X_92,multiply(inverse(X_92),multiply(Y,inverse(inverse(X_92)))))) )],[refute_0_585,refute_0_588]) ).
cnf(refute_0_590,plain,
inverse(inverse(X_92)) = X_92,
inference(subst,[],[refute_0_224:[bind(X_47,$fot(X_92))]]) ).
cnf(refute_0_591,plain,
multiply(Y,inverse(inverse(X_92))) = multiply(Y,inverse(inverse(X_92))),
introduced(tautology,[refl,[$fot(multiply(Y,inverse(inverse(X_92))))]]) ).
cnf(refute_0_592,plain,
( multiply(Y,inverse(inverse(X_92))) != multiply(Y,inverse(inverse(X_92)))
| inverse(inverse(X_92)) != X_92
| multiply(Y,inverse(inverse(X_92))) = multiply(Y,X_92) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,inverse(inverse(X_92))),multiply(Y,inverse(inverse(X_92)))) ),[1,1],$fot(X_92)]]) ).
cnf(refute_0_593,plain,
( inverse(inverse(X_92)) != X_92
| multiply(Y,inverse(inverse(X_92))) = multiply(Y,X_92) ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(inverse(X_92))),multiply(Y,inverse(inverse(X_92)))) )],[refute_0_591,refute_0_592]) ).
cnf(refute_0_594,plain,
multiply(Y,inverse(inverse(X_92))) = multiply(Y,X_92),
inference(resolve,[$cnf( $equal(inverse(inverse(X_92)),X_92) )],[refute_0_590,refute_0_593]) ).
cnf(refute_0_595,plain,
( multiply(Y,inverse(inverse(X_92))) != multiply(Y,X_92)
| multiply(Y,inverse(inverse(X_92))) != multiply(X_92,Y)
| multiply(Y,X_92) = multiply(X_92,Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,inverse(inverse(X_92))),multiply(X_92,Y)) ),[0],$fot(multiply(Y,X_92))]]) ).
cnf(refute_0_596,plain,
( multiply(Y,inverse(inverse(X_92))) != multiply(X_92,Y)
| multiply(Y,X_92) = multiply(X_92,Y) ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(inverse(X_92))),multiply(Y,X_92)) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
multiply(Y,X_92) = multiply(X_92,Y),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(inverse(X_92))),multiply(X_92,Y)) )],[refute_0_589,refute_0_596]) ).
cnf(refute_0_598,plain,
( multiply(Y,X_92) != multiply(X_92,Y)
| multiply(X_92,Y) = multiply(Y,X_92) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(Y,X_92))),bind(Y0,$fot(multiply(X_92,Y)))]]) ).
cnf(refute_0_599,plain,
multiply(X_92,Y) = multiply(Y,X_92),
inference(resolve,[$cnf( $equal(multiply(Y,X_92),multiply(X_92,Y)) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
multiply(b4,a4) = multiply(a4,b4),
inference(subst,[],[refute_0_599:[bind(Y,$fot(a4)),bind(X_92,$fot(b4))]]) ).
cnf(refute_0_601,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(b4,a4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a4,b4),multiply(b4,a4)) ),[1],$fot(multiply(a4,b4))]]) ).
cnf(refute_0_602,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(b4,a4),multiply(a4,b4)) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4) ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(b4,a4)) )],[refute_0_602,refute_0_319]) ).
cnf(refute_0_604,plain,
multiply(c3,b3) = multiply(b3,c3),
inference(subst,[],[refute_0_599:[bind(Y,$fot(b3)),bind(X_92,$fot(c3))]]) ).
cnf(refute_0_605,plain,
multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(c3,b3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(c3,b3)))]]) ).
cnf(refute_0_606,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(c3,b3))
| multiply(c3,b3) != multiply(b3,c3)
| multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(c3,b3))) ),[1,1],$fot(multiply(b3,c3))]]) ).
cnf(refute_0_607,plain,
( multiply(c3,b3) != multiply(b3,c3)
| multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(c3,b3))) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,b3),multiply(b3,c3)) )],[refute_0_604,refute_0_607]) ).
cnf(refute_0_609,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_610,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4) ),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_610,refute_0_603]) ).
cnf(refute_0_612,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_613,plain,
multiply(a4,b4) != multiply(a4,b4),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_612,refute_0_611]) ).
cnf(refute_0_614,plain,
multiply(a4,b4) = multiply(a4,b4),
introduced(tautology,[refl,[$fot(multiply(a4,b4))]]) ).
cnf(refute_0_615,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(a4,b4)) )],[refute_0_614,refute_0_613]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : GRP109-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.10 % Command : metis --show proof --show saturation %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Tue Jun 14 00:40:12 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.09/0.29 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.76/0.93 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.76/0.93
% 0.76/0.93 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.79/1.01
%------------------------------------------------------------------------------