TSTP Solution File: GRP091-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP091-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n003.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 10:34:40 EDT 2022
% Result : Unsatisfiable 0.41s 0.62s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 96
% Number of leaves : 159
% Syntax : Number of clauses : 646 ( 334 unt; 0 nHn; 330 RR)
% Number of literals : 1106 (1105 equ; 468 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 1239 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(X,divide(divide(X,Y),Z)),Y) = Z ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)) ).
cnf(inverse,axiom,
inverse(X) = divide(divide(Z,Z),X) ).
cnf(identity,axiom,
identity = divide(X,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( $equal(X0,X0) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( identity != divide(X,X)
| divide(X,X) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(X,X)))]]) ).
cnf(refute_0_4,plain,
divide(X,X) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X,X)) )],[identity,refute_0_3]) ).
cnf(refute_0_5,plain,
divide(a1,a1) = identity,
inference(subst,[],[refute_0_4:[bind(X,$fot(a1))]]) ).
cnf(refute_0_6,plain,
( inverse(X) != divide(divide(Z,Z),X)
| divide(divide(Z,Z),X) = inverse(X) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X))),bind(Y0,$fot(divide(divide(Z,Z),X)))]]) ).
cnf(refute_0_7,plain,
divide(divide(Z,Z),X) = inverse(X),
inference(resolve,[$cnf( $equal(inverse(X),divide(divide(Z,Z),X)) )],[inverse,refute_0_6]) ).
cnf(refute_0_8,plain,
divide(divide(Z,Z),Y) = inverse(Y),
inference(subst,[],[refute_0_7:[bind(X,$fot(Y))]]) ).
cnf(refute_0_9,plain,
divide(X,divide(divide(Z,Z),Y)) = divide(X,divide(divide(Z,Z),Y)),
introduced(tautology,[refl,[$fot(divide(X,divide(divide(Z,Z),Y)))]]) ).
cnf(refute_0_10,plain,
( divide(X,divide(divide(Z,Z),Y)) != divide(X,divide(divide(Z,Z),Y))
| divide(divide(Z,Z),Y) != inverse(Y)
| divide(X,divide(divide(Z,Z),Y)) = divide(X,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(divide(Z,Z),Y)),divide(X,divide(divide(Z,Z),Y))) ),[1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_11,plain,
( divide(divide(Z,Z),Y) != inverse(Y)
| divide(X,divide(divide(Z,Z),Y)) = divide(X,inverse(Y)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(Z,Z),Y)),divide(X,divide(divide(Z,Z),Y))) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
divide(X,divide(divide(Z,Z),Y)) = divide(X,inverse(Y)),
inference(resolve,[$cnf( $equal(divide(divide(Z,Z),Y),inverse(Y)) )],[refute_0_8,refute_0_11]) ).
cnf(refute_0_13,plain,
( multiply(X,Y) != divide(X,divide(divide(Z,Z),Y))
| divide(X,divide(divide(Z,Z),Y)) != divide(X,inverse(Y))
| multiply(X,Y) = divide(X,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,Y),divide(X,inverse(Y))) ),[0],$fot(divide(X,divide(divide(Z,Z),Y)))]]) ).
cnf(refute_0_14,plain,
( multiply(X,Y) != divide(X,divide(divide(Z,Z),Y))
| multiply(X,Y) = divide(X,inverse(Y)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(Z,Z),Y)),divide(X,inverse(Y))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
multiply(X,Y) = divide(X,inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,divide(divide(Z,Z),Y))) )],[multiply,refute_0_14]) ).
cnf(refute_0_16,plain,
multiply(X_15,inverse(divide(X_10,identity))) = divide(X_15,inverse(inverse(divide(X_10,identity)))),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_15)),bind(Y,$fot(inverse(divide(X_10,identity))))]]) ).
cnf(refute_0_17,plain,
divide(divide(identity,divide(divide(identity,X_3),X_4)),X_3) = X_4,
inference(subst,[],[single_axiom:[bind(X,$fot(identity)),bind(Y,$fot(X_3)),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_18,plain,
divide(Z,Z) = identity,
inference(subst,[],[refute_0_4:[bind(X,$fot(Z))]]) ).
cnf(refute_0_19,plain,
divide(divide(Z,Z),X) = divide(divide(Z,Z),X),
introduced(tautology,[refl,[$fot(divide(divide(Z,Z),X))]]) ).
cnf(refute_0_20,plain,
( divide(Z,Z) != identity
| divide(divide(Z,Z),X) != divide(divide(Z,Z),X)
| divide(divide(Z,Z),X) = divide(identity,X) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(Z,Z),X),divide(divide(Z,Z),X)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_21,plain,
( divide(Z,Z) != identity
| divide(divide(Z,Z),X) = divide(identity,X) ),
inference(resolve,[$cnf( $equal(divide(divide(Z,Z),X),divide(divide(Z,Z),X)) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
divide(divide(Z,Z),X) = divide(identity,X),
inference(resolve,[$cnf( $equal(divide(Z,Z),identity) )],[refute_0_18,refute_0_21]) ).
cnf(refute_0_23,plain,
( divide(divide(Z,Z),X) != divide(identity,X)
| inverse(X) != divide(divide(Z,Z),X)
| inverse(X) = divide(identity,X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),divide(divide(Z,Z),X)) ),[1],$fot(divide(identity,X))]]) ).
cnf(refute_0_24,plain,
( inverse(X) != divide(divide(Z,Z),X)
| inverse(X) = divide(identity,X) ),
inference(resolve,[$cnf( $equal(divide(divide(Z,Z),X),divide(identity,X)) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
inverse(X) = divide(identity,X),
inference(resolve,[$cnf( $equal(inverse(X),divide(divide(Z,Z),X)) )],[inverse,refute_0_24]) ).
cnf(refute_0_26,plain,
inverse(X_3) = divide(identity,X_3),
inference(subst,[],[refute_0_25:[bind(X,$fot(X_3))]]) ).
cnf(refute_0_27,plain,
( inverse(X_3) != divide(identity,X_3)
| divide(identity,X_3) = inverse(X_3) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_3))),bind(Y0,$fot(divide(identity,X_3)))]]) ).
cnf(refute_0_28,plain,
divide(identity,X_3) = inverse(X_3),
inference(resolve,[$cnf( $equal(inverse(X_3),divide(identity,X_3)) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( divide(divide(identity,divide(divide(identity,X_3),X_4)),X_3) != X_4
| divide(identity,X_3) != inverse(X_3)
| divide(divide(identity,divide(inverse(X_3),X_4)),X_3) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(divide(identity,X_3),X_4)),X_3),X_4) ),[0,0,1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_30,plain,
( divide(divide(identity,divide(divide(identity,X_3),X_4)),X_3) != X_4
| divide(divide(identity,divide(inverse(X_3),X_4)),X_3) = X_4 ),
inference(resolve,[$cnf( $equal(divide(identity,X_3),inverse(X_3)) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
divide(divide(identity,divide(inverse(X_3),X_4)),X_3) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(divide(identity,X_3),X_4)),X_3),X_4) )],[refute_0_17,refute_0_30]) ).
cnf(refute_0_32,plain,
( inverse(X) != divide(identity,X)
| divide(identity,X) = inverse(X) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X))),bind(Y0,$fot(divide(identity,X)))]]) ).
cnf(refute_0_33,plain,
divide(identity,X) = inverse(X),
inference(resolve,[$cnf( $equal(inverse(X),divide(identity,X)) )],[refute_0_25,refute_0_32]) ).
cnf(refute_0_34,plain,
divide(identity,divide(inverse(X_3),X_4)) = inverse(divide(inverse(X_3),X_4)),
inference(subst,[],[refute_0_33:[bind(X,$fot(divide(inverse(X_3),X_4)))]]) ).
cnf(refute_0_35,plain,
divide(divide(identity,divide(inverse(X_3),X_4)),X_3) = divide(divide(identity,divide(inverse(X_3),X_4)),X_3),
introduced(tautology,[refl,[$fot(divide(divide(identity,divide(inverse(X_3),X_4)),X_3))]]) ).
cnf(refute_0_36,plain,
( divide(divide(identity,divide(inverse(X_3),X_4)),X_3) != divide(divide(identity,divide(inverse(X_3),X_4)),X_3)
| divide(identity,divide(inverse(X_3),X_4)) != inverse(divide(inverse(X_3),X_4))
| divide(divide(identity,divide(inverse(X_3),X_4)),X_3) = divide(inverse(divide(inverse(X_3),X_4)),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(inverse(X_3),X_4)),X_3),divide(divide(identity,divide(inverse(X_3),X_4)),X_3)) ),[1,0],$fot(inverse(divide(inverse(X_3),X_4)))]]) ).
cnf(refute_0_37,plain,
( divide(identity,divide(inverse(X_3),X_4)) != inverse(divide(inverse(X_3),X_4))
| divide(divide(identity,divide(inverse(X_3),X_4)),X_3) = divide(inverse(divide(inverse(X_3),X_4)),X_3) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(inverse(X_3),X_4)),X_3),divide(divide(identity,divide(inverse(X_3),X_4)),X_3)) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
divide(divide(identity,divide(inverse(X_3),X_4)),X_3) = divide(inverse(divide(inverse(X_3),X_4)),X_3),
inference(resolve,[$cnf( $equal(divide(identity,divide(inverse(X_3),X_4)),inverse(divide(inverse(X_3),X_4))) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
( divide(divide(identity,divide(inverse(X_3),X_4)),X_3) != X_4
| divide(divide(identity,divide(inverse(X_3),X_4)),X_3) != divide(inverse(divide(inverse(X_3),X_4)),X_3)
| divide(inverse(divide(inverse(X_3),X_4)),X_3) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(inverse(X_3),X_4)),X_3),X_4) ),[0],$fot(divide(inverse(divide(inverse(X_3),X_4)),X_3))]]) ).
cnf(refute_0_40,plain,
( divide(divide(identity,divide(inverse(X_3),X_4)),X_3) != X_4
| divide(inverse(divide(inverse(X_3),X_4)),X_3) = X_4 ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(inverse(X_3),X_4)),X_3),divide(inverse(divide(inverse(X_3),X_4)),X_3)) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
divide(inverse(divide(inverse(X_3),X_4)),X_3) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(inverse(X_3),X_4)),X_3),X_4) )],[refute_0_31,refute_0_40]) ).
cnf(refute_0_42,plain,
divide(inverse(divide(inverse(divide(inverse(X_4),X_6)),X_4)),divide(inverse(X_4),X_6)) = X_4,
inference(subst,[],[refute_0_41:[bind(X_3,$fot(divide(inverse(X_4),X_6)))]]) ).
cnf(refute_0_43,plain,
divide(inverse(divide(inverse(X_4),X_6)),X_4) = X_6,
inference(subst,[],[refute_0_41:[bind(X_3,$fot(X_4)),bind(X_4,$fot(X_6))]]) ).
cnf(refute_0_44,plain,
( divide(inverse(divide(inverse(X_4),X_6)),X_4) != X_6
| divide(inverse(divide(inverse(divide(inverse(X_4),X_6)),X_4)),divide(inverse(X_4),X_6)) != X_4
| divide(inverse(X_6),divide(inverse(X_4),X_6)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(divide(inverse(X_4),X_6)),X_4)),divide(inverse(X_4),X_6)),X_4) ),[0,0,0],$fot(X_6)]]) ).
cnf(refute_0_45,plain,
( divide(inverse(divide(inverse(divide(inverse(X_4),X_6)),X_4)),divide(inverse(X_4),X_6)) != X_4
| divide(inverse(X_6),divide(inverse(X_4),X_6)) = X_4 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(X_4),X_6)),X_4),X_6) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
divide(inverse(X_6),divide(inverse(X_4),X_6)) = X_4,
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(divide(inverse(X_4),X_6)),X_4)),divide(inverse(X_4),X_6)),X_4) )],[refute_0_42,refute_0_45]) ).
cnf(refute_0_47,plain,
divide(inverse(identity),divide(inverse(X_10),identity)) = X_10,
inference(subst,[],[refute_0_46:[bind(X_4,$fot(X_10)),bind(X_6,$fot(identity))]]) ).
cnf(refute_0_48,plain,
identity = divide(identity,identity),
inference(subst,[],[identity:[bind(X,$fot(identity))]]) ).
cnf(refute_0_49,plain,
inverse(identity) = divide(identity,identity),
inference(subst,[],[refute_0_25:[bind(X,$fot(identity))]]) ).
cnf(refute_0_50,plain,
( inverse(identity) != divide(identity,identity)
| divide(identity,identity) = inverse(identity) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(identity))),bind(Y0,$fot(divide(identity,identity)))]]) ).
cnf(refute_0_51,plain,
divide(identity,identity) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),divide(identity,identity)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
( divide(identity,identity) != inverse(identity)
| identity != divide(identity,identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(identity,divide(identity,identity)) ),[1],$fot(inverse(identity))]]) ).
cnf(refute_0_53,plain,
( identity != divide(identity,identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(divide(identity,identity),inverse(identity)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(identity,divide(identity,identity)) )],[refute_0_48,refute_0_53]) ).
cnf(refute_0_55,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(inverse(identity)))]]) ).
cnf(refute_0_56,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
( divide(inverse(identity),divide(inverse(X_10),identity)) != X_10
| inverse(identity) != identity
| divide(identity,divide(inverse(X_10),identity)) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(identity),divide(inverse(X_10),identity)),X_10) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_58,plain,
( divide(inverse(identity),divide(inverse(X_10),identity)) != X_10
| divide(identity,divide(inverse(X_10),identity)) = X_10 ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
divide(identity,divide(inverse(X_10),identity)) = X_10,
inference(resolve,[$cnf( $equal(divide(inverse(identity),divide(inverse(X_10),identity)),X_10) )],[refute_0_47,refute_0_58]) ).
cnf(refute_0_60,plain,
divide(identity,divide(inverse(X_10),identity)) = inverse(divide(inverse(X_10),identity)),
inference(subst,[],[refute_0_33:[bind(X,$fot(divide(inverse(X_10),identity)))]]) ).
cnf(refute_0_61,plain,
( divide(identity,divide(inverse(X_10),identity)) != X_10
| divide(identity,divide(inverse(X_10),identity)) != inverse(divide(inverse(X_10),identity))
| inverse(divide(inverse(X_10),identity)) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(divide(identity,divide(inverse(X_10),identity)),X_10) ),[0],$fot(inverse(divide(inverse(X_10),identity)))]]) ).
cnf(refute_0_62,plain,
( divide(identity,divide(inverse(X_10),identity)) != X_10
| inverse(divide(inverse(X_10),identity)) = X_10 ),
inference(resolve,[$cnf( $equal(divide(identity,divide(inverse(X_10),identity)),inverse(divide(inverse(X_10),identity))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
inverse(divide(inverse(X_10),identity)) = X_10,
inference(resolve,[$cnf( $equal(divide(identity,divide(inverse(X_10),identity)),X_10) )],[refute_0_59,refute_0_62]) ).
cnf(refute_0_64,plain,
inverse(divide(inverse(divide(inverse(X_12),identity)),identity)) = divide(inverse(X_12),identity),
inference(subst,[],[refute_0_63:[bind(X_10,$fot(divide(inverse(X_12),identity)))]]) ).
cnf(refute_0_65,plain,
inverse(divide(inverse(X_12),identity)) = X_12,
inference(subst,[],[refute_0_63:[bind(X_10,$fot(X_12))]]) ).
cnf(refute_0_66,plain,
( inverse(divide(inverse(X_12),identity)) != X_12
| inverse(divide(inverse(divide(inverse(X_12),identity)),identity)) != divide(inverse(X_12),identity)
| inverse(divide(X_12,identity)) = divide(inverse(X_12),identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(divide(inverse(X_12),identity)),identity)),divide(inverse(X_12),identity)) ),[0,0,0],$fot(X_12)]]) ).
cnf(refute_0_67,plain,
( inverse(divide(inverse(divide(inverse(X_12),identity)),identity)) != divide(inverse(X_12),identity)
| inverse(divide(X_12,identity)) = divide(inverse(X_12),identity) ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_12),identity)),X_12) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
inverse(divide(X_12,identity)) = divide(inverse(X_12),identity),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(divide(inverse(X_12),identity)),identity)),divide(inverse(X_12),identity)) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
( inverse(divide(X_12,identity)) != divide(inverse(X_12),identity)
| divide(inverse(X_12),identity) = inverse(divide(X_12,identity)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(divide(X_12,identity)))),bind(Y0,$fot(divide(inverse(X_12),identity)))]]) ).
cnf(refute_0_70,plain,
divide(inverse(X_12),identity) = inverse(divide(X_12,identity)),
inference(resolve,[$cnf( $equal(inverse(divide(X_12,identity)),divide(inverse(X_12),identity)) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
divide(inverse(X_10),identity) = inverse(divide(X_10,identity)),
inference(subst,[],[refute_0_70:[bind(X_12,$fot(X_10))]]) ).
cnf(refute_0_72,plain,
inverse(divide(inverse(X_10),identity)) = inverse(divide(inverse(X_10),identity)),
introduced(tautology,[refl,[$fot(inverse(divide(inverse(X_10),identity)))]]) ).
cnf(refute_0_73,plain,
( divide(inverse(X_10),identity) != inverse(divide(X_10,identity))
| inverse(divide(inverse(X_10),identity)) != inverse(divide(inverse(X_10),identity))
| inverse(divide(inverse(X_10),identity)) = inverse(inverse(divide(X_10,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(X_10),identity)),inverse(divide(inverse(X_10),identity))) ),[1,0],$fot(inverse(divide(X_10,identity)))]]) ).
cnf(refute_0_74,plain,
( divide(inverse(X_10),identity) != inverse(divide(X_10,identity))
| inverse(divide(inverse(X_10),identity)) = inverse(inverse(divide(X_10,identity))) ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_10),identity)),inverse(divide(inverse(X_10),identity))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
inverse(divide(inverse(X_10),identity)) = inverse(inverse(divide(X_10,identity))),
inference(resolve,[$cnf( $equal(divide(inverse(X_10),identity),inverse(divide(X_10,identity))) )],[refute_0_71,refute_0_74]) ).
cnf(refute_0_76,plain,
( inverse(divide(inverse(X_10),identity)) != X_10
| inverse(divide(inverse(X_10),identity)) != inverse(inverse(divide(X_10,identity)))
| inverse(inverse(divide(X_10,identity))) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(X_10),identity)),X_10) ),[0],$fot(inverse(inverse(divide(X_10,identity))))]]) ).
cnf(refute_0_77,plain,
( inverse(divide(inverse(X_10),identity)) != X_10
| inverse(inverse(divide(X_10,identity))) = X_10 ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_10),identity)),inverse(inverse(divide(X_10,identity)))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
inverse(inverse(divide(X_10,identity))) = X_10,
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_10),identity)),X_10) )],[refute_0_63,refute_0_77]) ).
cnf(refute_0_79,plain,
( multiply(X_15,inverse(divide(X_10,identity))) != divide(X_15,inverse(inverse(divide(X_10,identity))))
| inverse(inverse(divide(X_10,identity))) != X_10
| multiply(X_15,inverse(divide(X_10,identity))) = divide(X_15,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,inverse(divide(X_10,identity))),divide(X_15,inverse(inverse(divide(X_10,identity))))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_80,plain,
( multiply(X_15,inverse(divide(X_10,identity))) != divide(X_15,inverse(inverse(divide(X_10,identity))))
| multiply(X_15,inverse(divide(X_10,identity))) = divide(X_15,X_10) ),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_10,identity))),X_10) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
multiply(X_15,inverse(divide(X_10,identity))) = divide(X_15,X_10),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(divide(X_10,identity))),divide(X_15,inverse(inverse(divide(X_10,identity))))) )],[refute_0_16,refute_0_80]) ).
cnf(refute_0_82,plain,
multiply(X_15,identity) = divide(X_15,inverse(identity)),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_15)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_83,plain,
( multiply(X_15,identity) != divide(X_15,inverse(identity))
| inverse(identity) != identity
| multiply(X_15,identity) = divide(X_15,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,identity),divide(X_15,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_84,plain,
( multiply(X_15,identity) != divide(X_15,inverse(identity))
| multiply(X_15,identity) = divide(X_15,identity) ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_56,refute_0_83]) ).
cnf(refute_0_85,plain,
multiply(X_15,identity) = divide(X_15,identity),
inference(resolve,[$cnf( $equal(multiply(X_15,identity),divide(X_15,inverse(identity))) )],[refute_0_82,refute_0_84]) ).
cnf(refute_0_86,plain,
( multiply(X_15,identity) != divide(X_15,identity)
| divide(X_15,identity) = multiply(X_15,identity) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_15,identity))),bind(Y0,$fot(divide(X_15,identity)))]]) ).
cnf(refute_0_87,plain,
divide(X_15,identity) = multiply(X_15,identity),
inference(resolve,[$cnf( $equal(multiply(X_15,identity),divide(X_15,identity)) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
divide(X_10,identity) = multiply(X_10,identity),
inference(subst,[],[refute_0_87:[bind(X_15,$fot(X_10))]]) ).
cnf(refute_0_89,plain,
inverse(divide(X_10,identity)) = inverse(divide(X_10,identity)),
introduced(tautology,[refl,[$fot(inverse(divide(X_10,identity)))]]) ).
cnf(refute_0_90,plain,
( divide(X_10,identity) != multiply(X_10,identity)
| inverse(divide(X_10,identity)) != inverse(divide(X_10,identity))
| inverse(divide(X_10,identity)) = inverse(multiply(X_10,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_10,identity)),inverse(divide(X_10,identity))) ),[1,0],$fot(multiply(X_10,identity))]]) ).
cnf(refute_0_91,plain,
( divide(X_10,identity) != multiply(X_10,identity)
| inverse(divide(X_10,identity)) = inverse(multiply(X_10,identity)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_10,identity)),inverse(divide(X_10,identity))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
inverse(divide(X_10,identity)) = inverse(multiply(X_10,identity)),
inference(resolve,[$cnf( $equal(divide(X_10,identity),multiply(X_10,identity)) )],[refute_0_88,refute_0_91]) ).
cnf(refute_0_93,plain,
multiply(X_15,inverse(divide(X_10,identity))) = multiply(X_15,inverse(divide(X_10,identity))),
introduced(tautology,[refl,[$fot(multiply(X_15,inverse(divide(X_10,identity))))]]) ).
cnf(refute_0_94,plain,
( multiply(X_15,inverse(divide(X_10,identity))) != multiply(X_15,inverse(divide(X_10,identity)))
| inverse(divide(X_10,identity)) != inverse(multiply(X_10,identity))
| multiply(X_15,inverse(divide(X_10,identity))) = multiply(X_15,inverse(multiply(X_10,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,inverse(divide(X_10,identity))),multiply(X_15,inverse(divide(X_10,identity)))) ),[1,1],$fot(inverse(multiply(X_10,identity)))]]) ).
cnf(refute_0_95,plain,
( inverse(divide(X_10,identity)) != inverse(multiply(X_10,identity))
| multiply(X_15,inverse(divide(X_10,identity))) = multiply(X_15,inverse(multiply(X_10,identity))) ),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(divide(X_10,identity))),multiply(X_15,inverse(divide(X_10,identity)))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
multiply(X_15,inverse(divide(X_10,identity))) = multiply(X_15,inverse(multiply(X_10,identity))),
inference(resolve,[$cnf( $equal(inverse(divide(X_10,identity)),inverse(multiply(X_10,identity))) )],[refute_0_92,refute_0_95]) ).
cnf(refute_0_97,plain,
( multiply(X_15,inverse(divide(X_10,identity))) != multiply(X_15,inverse(multiply(X_10,identity)))
| multiply(X_15,inverse(divide(X_10,identity))) != divide(X_15,X_10)
| multiply(X_15,inverse(multiply(X_10,identity))) = divide(X_15,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,inverse(divide(X_10,identity))),divide(X_15,X_10)) ),[0],$fot(multiply(X_15,inverse(multiply(X_10,identity))))]]) ).
cnf(refute_0_98,plain,
( multiply(X_15,inverse(divide(X_10,identity))) != divide(X_15,X_10)
| multiply(X_15,inverse(multiply(X_10,identity))) = divide(X_15,X_10) ),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(divide(X_10,identity))),multiply(X_15,inverse(multiply(X_10,identity)))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
multiply(X_15,inverse(multiply(X_10,identity))) = divide(X_15,X_10),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(divide(X_10,identity))),divide(X_15,X_10)) )],[refute_0_81,refute_0_98]) ).
cnf(refute_0_100,plain,
divide(divide(inverse(inverse(X_7)),divide(divide(inverse(inverse(X_7)),identity),Z)),identity) = Z,
inference(subst,[],[single_axiom:[bind(X,$fot(inverse(inverse(X_7)))),bind(Y,$fot(identity))]]) ).
cnf(refute_0_101,plain,
divide(inverse(divide(inverse(identity),X_6)),identity) = X_6,
inference(subst,[],[refute_0_41:[bind(X_3,$fot(identity)),bind(X_4,$fot(X_6))]]) ).
cnf(refute_0_102,plain,
( divide(inverse(divide(inverse(identity),X_6)),identity) != X_6
| inverse(identity) != identity
| divide(inverse(divide(identity,X_6)),identity) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(identity),X_6)),identity),X_6) ),[0,0,0,0],$fot(identity)]]) ).
cnf(refute_0_103,plain,
( divide(inverse(divide(inverse(identity),X_6)),identity) != X_6
| divide(inverse(divide(identity,X_6)),identity) = X_6 ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_56,refute_0_102]) ).
cnf(refute_0_104,plain,
divide(inverse(divide(identity,X_6)),identity) = X_6,
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(identity),X_6)),identity),X_6) )],[refute_0_101,refute_0_103]) ).
cnf(refute_0_105,plain,
divide(identity,X_6) = inverse(X_6),
inference(subst,[],[refute_0_33:[bind(X,$fot(X_6))]]) ).
cnf(refute_0_106,plain,
inverse(divide(identity,X_6)) = inverse(divide(identity,X_6)),
introduced(tautology,[refl,[$fot(inverse(divide(identity,X_6)))]]) ).
cnf(refute_0_107,plain,
( divide(identity,X_6) != inverse(X_6)
| inverse(divide(identity,X_6)) != inverse(divide(identity,X_6))
| inverse(divide(identity,X_6)) = inverse(inverse(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(identity,X_6)),inverse(divide(identity,X_6))) ),[1,0],$fot(inverse(X_6))]]) ).
cnf(refute_0_108,plain,
( divide(identity,X_6) != inverse(X_6)
| inverse(divide(identity,X_6)) = inverse(inverse(X_6)) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_6)),inverse(divide(identity,X_6))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
inverse(divide(identity,X_6)) = inverse(inverse(X_6)),
inference(resolve,[$cnf( $equal(divide(identity,X_6),inverse(X_6)) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
divide(inverse(divide(identity,X_6)),identity) = divide(inverse(divide(identity,X_6)),identity),
introduced(tautology,[refl,[$fot(divide(inverse(divide(identity,X_6)),identity))]]) ).
cnf(refute_0_111,plain,
( divide(inverse(divide(identity,X_6)),identity) != divide(inverse(divide(identity,X_6)),identity)
| inverse(divide(identity,X_6)) != inverse(inverse(X_6))
| divide(inverse(divide(identity,X_6)),identity) = divide(inverse(inverse(X_6)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(identity,X_6)),identity),divide(inverse(divide(identity,X_6)),identity)) ),[1,0],$fot(inverse(inverse(X_6)))]]) ).
cnf(refute_0_112,plain,
( inverse(divide(identity,X_6)) != inverse(inverse(X_6))
| divide(inverse(divide(identity,X_6)),identity) = divide(inverse(inverse(X_6)),identity) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,X_6)),identity),divide(inverse(divide(identity,X_6)),identity)) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
divide(inverse(divide(identity,X_6)),identity) = divide(inverse(inverse(X_6)),identity),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_6)),inverse(inverse(X_6))) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
( divide(inverse(divide(identity,X_6)),identity) != X_6
| divide(inverse(divide(identity,X_6)),identity) != divide(inverse(inverse(X_6)),identity)
| divide(inverse(inverse(X_6)),identity) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(identity,X_6)),identity),X_6) ),[0],$fot(divide(inverse(inverse(X_6)),identity))]]) ).
cnf(refute_0_115,plain,
( divide(inverse(divide(identity,X_6)),identity) != X_6
| divide(inverse(inverse(X_6)),identity) = X_6 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,X_6)),identity),divide(inverse(inverse(X_6)),identity)) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
divide(inverse(inverse(X_6)),identity) = X_6,
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,X_6)),identity),X_6) )],[refute_0_104,refute_0_115]) ).
cnf(refute_0_117,plain,
divide(inverse(inverse(X_7)),identity) = X_7,
inference(subst,[],[refute_0_116:[bind(X_6,$fot(X_7))]]) ).
cnf(refute_0_118,plain,
( divide(divide(inverse(inverse(X_7)),divide(divide(inverse(inverse(X_7)),identity),Z)),identity) != Z
| divide(inverse(inverse(X_7)),identity) != X_7
| divide(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(inverse(inverse(X_7)),divide(divide(inverse(inverse(X_7)),identity),Z)),identity),Z) ),[0,0,1,0],$fot(X_7)]]) ).
cnf(refute_0_119,plain,
( divide(divide(inverse(inverse(X_7)),divide(divide(inverse(inverse(X_7)),identity),Z)),identity) != Z
| divide(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity) = Z ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_7)),identity),X_7) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
divide(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity) = Z,
inference(resolve,[$cnf( $equal(divide(divide(inverse(inverse(X_7)),divide(divide(inverse(inverse(X_7)),identity),Z)),identity),Z) )],[refute_0_100,refute_0_119]) ).
cnf(refute_0_121,plain,
divide(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity) = multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity),
inference(subst,[],[refute_0_87:[bind(X_15,$fot(divide(inverse(inverse(X_7)),divide(X_7,Z))))]]) ).
cnf(refute_0_122,plain,
( divide(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity) != Z
| divide(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity) != multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity)
| multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity),Z) ),[0],$fot(multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity))]]) ).
cnf(refute_0_123,plain,
( divide(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity) != Z
| multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity) = Z ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity),multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity)) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity) = Z,
inference(resolve,[$cnf( $equal(divide(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity),Z) )],[refute_0_120,refute_0_123]) ).
cnf(refute_0_125,plain,
divide(divide(X_3,divide(divide(X_3,X_3),X_4)),X_3) = X_4,
inference(subst,[],[single_axiom:[bind(X,$fot(X_3)),bind(Y,$fot(X_3)),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_126,plain,
identity = divide(X_3,X_3),
inference(subst,[],[identity:[bind(X,$fot(X_3))]]) ).
cnf(refute_0_127,plain,
( identity != divide(X_3,X_3)
| divide(X_3,X_3) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(X_3,X_3)))]]) ).
cnf(refute_0_128,plain,
divide(X_3,X_3) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_3,X_3)) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
( divide(X_3,X_3) != identity
| divide(divide(X_3,divide(divide(X_3,X_3),X_4)),X_3) != X_4
| divide(divide(X_3,divide(identity,X_4)),X_3) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_3,divide(divide(X_3,X_3),X_4)),X_3),X_4) ),[0,0,1,0],$fot(identity)]]) ).
cnf(refute_0_130,plain,
( divide(divide(X_3,divide(divide(X_3,X_3),X_4)),X_3) != X_4
| divide(divide(X_3,divide(identity,X_4)),X_3) = X_4 ),
inference(resolve,[$cnf( $equal(divide(X_3,X_3),identity) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
divide(divide(X_3,divide(identity,X_4)),X_3) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(X_3,divide(divide(X_3,X_3),X_4)),X_3),X_4) )],[refute_0_125,refute_0_130]) ).
cnf(refute_0_132,plain,
( multiply(X,Y) != divide(X,inverse(Y))
| divide(X,inverse(Y)) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(divide(X,inverse(Y))))]]) ).
cnf(refute_0_133,plain,
divide(X,inverse(Y)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,inverse(Y))) )],[refute_0_15,refute_0_132]) ).
cnf(refute_0_134,plain,
divide(X_3,inverse(X_4)) = multiply(X_3,X_4),
inference(subst,[],[refute_0_133:[bind(X,$fot(X_3)),bind(Y,$fot(X_4))]]) ).
cnf(refute_0_135,plain,
divide(identity,X_4) = inverse(X_4),
inference(subst,[],[refute_0_33:[bind(X,$fot(X_4))]]) ).
cnf(refute_0_136,plain,
divide(X_3,divide(identity,X_4)) = divide(X_3,divide(identity,X_4)),
introduced(tautology,[refl,[$fot(divide(X_3,divide(identity,X_4)))]]) ).
cnf(refute_0_137,plain,
( divide(X_3,divide(identity,X_4)) != divide(X_3,divide(identity,X_4))
| divide(identity,X_4) != inverse(X_4)
| divide(X_3,divide(identity,X_4)) = divide(X_3,inverse(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_3,divide(identity,X_4)),divide(X_3,divide(identity,X_4))) ),[1,1],$fot(inverse(X_4))]]) ).
cnf(refute_0_138,plain,
( divide(identity,X_4) != inverse(X_4)
| divide(X_3,divide(identity,X_4)) = divide(X_3,inverse(X_4)) ),
inference(resolve,[$cnf( $equal(divide(X_3,divide(identity,X_4)),divide(X_3,divide(identity,X_4))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
divide(X_3,divide(identity,X_4)) = divide(X_3,inverse(X_4)),
inference(resolve,[$cnf( $equal(divide(identity,X_4),inverse(X_4)) )],[refute_0_135,refute_0_138]) ).
cnf(refute_0_140,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_141,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_140]) ).
cnf(refute_0_142,plain,
( divide(X_3,divide(identity,X_4)) != divide(X_3,inverse(X_4))
| divide(X_3,inverse(X_4)) != multiply(X_3,X_4)
| divide(X_3,divide(identity,X_4)) = multiply(X_3,X_4) ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(divide(X_3,divide(identity,X_4)))),bind(Y0,$fot(divide(X_3,inverse(X_4)))),bind(Z0,$fot(multiply(X_3,X_4)))]]) ).
cnf(refute_0_143,plain,
( divide(X_3,inverse(X_4)) != multiply(X_3,X_4)
| divide(X_3,divide(identity,X_4)) = multiply(X_3,X_4) ),
inference(resolve,[$cnf( $equal(divide(X_3,divide(identity,X_4)),divide(X_3,inverse(X_4))) )],[refute_0_139,refute_0_142]) ).
cnf(refute_0_144,plain,
divide(X_3,divide(identity,X_4)) = multiply(X_3,X_4),
inference(resolve,[$cnf( $equal(divide(X_3,inverse(X_4)),multiply(X_3,X_4)) )],[refute_0_134,refute_0_143]) ).
cnf(refute_0_145,plain,
divide(divide(X_3,divide(identity,X_4)),X_3) = divide(divide(X_3,divide(identity,X_4)),X_3),
introduced(tautology,[refl,[$fot(divide(divide(X_3,divide(identity,X_4)),X_3))]]) ).
cnf(refute_0_146,plain,
( divide(X_3,divide(identity,X_4)) != multiply(X_3,X_4)
| divide(divide(X_3,divide(identity,X_4)),X_3) != divide(divide(X_3,divide(identity,X_4)),X_3)
| divide(divide(X_3,divide(identity,X_4)),X_3) = divide(multiply(X_3,X_4),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_3,divide(identity,X_4)),X_3),divide(divide(X_3,divide(identity,X_4)),X_3)) ),[1,0],$fot(multiply(X_3,X_4))]]) ).
cnf(refute_0_147,plain,
( divide(X_3,divide(identity,X_4)) != multiply(X_3,X_4)
| divide(divide(X_3,divide(identity,X_4)),X_3) = divide(multiply(X_3,X_4),X_3) ),
inference(resolve,[$cnf( $equal(divide(divide(X_3,divide(identity,X_4)),X_3),divide(divide(X_3,divide(identity,X_4)),X_3)) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
divide(divide(X_3,divide(identity,X_4)),X_3) = divide(multiply(X_3,X_4),X_3),
inference(resolve,[$cnf( $equal(divide(X_3,divide(identity,X_4)),multiply(X_3,X_4)) )],[refute_0_144,refute_0_147]) ).
cnf(refute_0_149,plain,
( divide(divide(X_3,divide(identity,X_4)),X_3) != X_4
| divide(divide(X_3,divide(identity,X_4)),X_3) != divide(multiply(X_3,X_4),X_3)
| divide(multiply(X_3,X_4),X_3) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_3,divide(identity,X_4)),X_3),X_4) ),[0],$fot(divide(multiply(X_3,X_4),X_3))]]) ).
cnf(refute_0_150,plain,
( divide(divide(X_3,divide(identity,X_4)),X_3) != X_4
| divide(multiply(X_3,X_4),X_3) = X_4 ),
inference(resolve,[$cnf( $equal(divide(divide(X_3,divide(identity,X_4)),X_3),divide(multiply(X_3,X_4),X_3)) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
divide(multiply(X_3,X_4),X_3) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(X_3,divide(identity,X_4)),X_3),X_4) )],[refute_0_131,refute_0_150]) ).
cnf(refute_0_152,plain,
divide(multiply(inverse(X_4),X_4),inverse(X_4)) = X_4,
inference(subst,[],[refute_0_151:[bind(X_3,$fot(inverse(X_4)))]]) ).
cnf(refute_0_153,plain,
identity = divide(inverse(X_16),inverse(X_16)),
inference(subst,[],[identity:[bind(X,$fot(inverse(X_16)))]]) ).
cnf(refute_0_154,plain,
multiply(inverse(X_16),X_16) = divide(inverse(X_16),inverse(X_16)),
inference(subst,[],[refute_0_15:[bind(X,$fot(inverse(X_16))),bind(Y,$fot(X_16))]]) ).
cnf(refute_0_155,plain,
( multiply(inverse(X_16),X_16) != divide(inverse(X_16),inverse(X_16))
| divide(inverse(X_16),inverse(X_16)) = multiply(inverse(X_16),X_16) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_16),X_16))),bind(Y0,$fot(divide(inverse(X_16),inverse(X_16))))]]) ).
cnf(refute_0_156,plain,
divide(inverse(X_16),inverse(X_16)) = multiply(inverse(X_16),X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),X_16),divide(inverse(X_16),inverse(X_16))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
( divide(inverse(X_16),inverse(X_16)) != multiply(inverse(X_16),X_16)
| identity != divide(inverse(X_16),inverse(X_16))
| identity = multiply(inverse(X_16),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(identity,divide(inverse(X_16),inverse(X_16))) ),[1],$fot(multiply(inverse(X_16),X_16))]]) ).
cnf(refute_0_158,plain,
( identity != divide(inverse(X_16),inverse(X_16))
| identity = multiply(inverse(X_16),X_16) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_16),inverse(X_16)),multiply(inverse(X_16),X_16)) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
identity = multiply(inverse(X_16),X_16),
inference(resolve,[$cnf( $equal(identity,divide(inverse(X_16),inverse(X_16))) )],[refute_0_153,refute_0_158]) ).
cnf(refute_0_160,plain,
identity = multiply(inverse(X_4),X_4),
inference(subst,[],[refute_0_159:[bind(X_16,$fot(X_4))]]) ).
cnf(refute_0_161,plain,
( identity != multiply(inverse(X_4),X_4)
| multiply(inverse(X_4),X_4) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(multiply(inverse(X_4),X_4)))]]) ).
cnf(refute_0_162,plain,
multiply(inverse(X_4),X_4) = identity,
inference(resolve,[$cnf( $equal(identity,multiply(inverse(X_4),X_4)) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
( multiply(inverse(X_4),X_4) != identity
| divide(multiply(inverse(X_4),X_4),inverse(X_4)) != X_4
| divide(identity,inverse(X_4)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(X_4),X_4),inverse(X_4)),X_4) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_164,plain,
( divide(multiply(inverse(X_4),X_4),inverse(X_4)) != X_4
| divide(identity,inverse(X_4)) = X_4 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),X_4),identity) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
divide(identity,inverse(X_4)) = X_4,
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_4),X_4),inverse(X_4)),X_4) )],[refute_0_152,refute_0_164]) ).
cnf(refute_0_166,plain,
divide(identity,inverse(X_4)) = inverse(inverse(X_4)),
inference(subst,[],[refute_0_33:[bind(X,$fot(inverse(X_4)))]]) ).
cnf(refute_0_167,plain,
( divide(identity,inverse(X_4)) != X_4
| divide(identity,inverse(X_4)) != inverse(inverse(X_4))
| inverse(inverse(X_4)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(identity,inverse(X_4)),X_4) ),[0],$fot(inverse(inverse(X_4)))]]) ).
cnf(refute_0_168,plain,
( divide(identity,inverse(X_4)) != X_4
| inverse(inverse(X_4)) = X_4 ),
inference(resolve,[$cnf( $equal(divide(identity,inverse(X_4)),inverse(inverse(X_4))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
inverse(inverse(X_4)) = X_4,
inference(resolve,[$cnf( $equal(divide(identity,inverse(X_4)),X_4) )],[refute_0_165,refute_0_168]) ).
cnf(refute_0_170,plain,
inverse(inverse(Z)) = Z,
inference(subst,[],[refute_0_169:[bind(X_4,$fot(Z))]]) ).
cnf(refute_0_171,plain,
inverse(inverse(divide(divide(X,divide(divide(X,identity),Z)),identity))) = divide(X,divide(divide(X,identity),Z)),
inference(subst,[],[refute_0_78:[bind(X_10,$fot(divide(X,divide(divide(X,identity),Z))))]]) ).
cnf(refute_0_172,plain,
divide(divide(X,divide(divide(X,identity),Z)),identity) = Z,
inference(subst,[],[single_axiom:[bind(Y,$fot(identity))]]) ).
cnf(refute_0_173,plain,
( divide(divide(X,divide(divide(X,identity),Z)),identity) != Z
| inverse(inverse(divide(divide(X,divide(divide(X,identity),Z)),identity))) != divide(X,divide(divide(X,identity),Z))
| inverse(inverse(Z)) = divide(X,divide(divide(X,identity),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(divide(X,divide(divide(X,identity),Z)),identity))),divide(X,divide(divide(X,identity),Z))) ),[0,0,0],$fot(Z)]]) ).
cnf(refute_0_174,plain,
( inverse(inverse(divide(divide(X,divide(divide(X,identity),Z)),identity))) != divide(X,divide(divide(X,identity),Z))
| inverse(inverse(Z)) = divide(X,divide(divide(X,identity),Z)) ),
inference(resolve,[$cnf( $equal(divide(divide(X,divide(divide(X,identity),Z)),identity),Z) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
inverse(inverse(Z)) = divide(X,divide(divide(X,identity),Z)),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(divide(X,divide(divide(X,identity),Z)),identity))),divide(X,divide(divide(X,identity),Z))) )],[refute_0_171,refute_0_174]) ).
cnf(refute_0_176,plain,
divide(divide(X_2,divide(divide(X_2,X_3),divide(X_2,X_3))),X_3) = divide(X_2,X_3),
inference(subst,[],[single_axiom:[bind(X,$fot(X_2)),bind(Y,$fot(X_3)),bind(Z,$fot(divide(X_2,X_3)))]]) ).
cnf(refute_0_177,plain,
identity = divide(divide(X_2,X_3),divide(X_2,X_3)),
inference(subst,[],[identity:[bind(X,$fot(divide(X_2,X_3)))]]) ).
cnf(refute_0_178,plain,
( identity != divide(divide(X_2,X_3),divide(X_2,X_3))
| divide(divide(X_2,X_3),divide(X_2,X_3)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(divide(X_2,X_3),divide(X_2,X_3))))]]) ).
cnf(refute_0_179,plain,
divide(divide(X_2,X_3),divide(X_2,X_3)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(divide(X_2,X_3),divide(X_2,X_3))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
( divide(divide(X_2,X_3),divide(X_2,X_3)) != identity
| divide(divide(X_2,divide(divide(X_2,X_3),divide(X_2,X_3))),X_3) != divide(X_2,X_3)
| divide(divide(X_2,identity),X_3) = divide(X_2,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_2,divide(divide(X_2,X_3),divide(X_2,X_3))),X_3),divide(X_2,X_3)) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_181,plain,
( divide(divide(X_2,divide(divide(X_2,X_3),divide(X_2,X_3))),X_3) != divide(X_2,X_3)
| divide(divide(X_2,identity),X_3) = divide(X_2,X_3) ),
inference(resolve,[$cnf( $equal(divide(divide(X_2,X_3),divide(X_2,X_3)),identity) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
divide(divide(X_2,identity),X_3) = divide(X_2,X_3),
inference(resolve,[$cnf( $equal(divide(divide(X_2,divide(divide(X_2,X_3),divide(X_2,X_3))),X_3),divide(X_2,X_3)) )],[refute_0_176,refute_0_181]) ).
cnf(refute_0_183,plain,
divide(divide(X,identity),Z) = divide(X,Z),
inference(subst,[],[refute_0_182:[bind(X_2,$fot(X)),bind(X_3,$fot(Z))]]) ).
cnf(refute_0_184,plain,
divide(X,divide(divide(X,identity),Z)) = divide(X,divide(divide(X,identity),Z)),
introduced(tautology,[refl,[$fot(divide(X,divide(divide(X,identity),Z)))]]) ).
cnf(refute_0_185,plain,
( divide(X,divide(divide(X,identity),Z)) != divide(X,divide(divide(X,identity),Z))
| divide(divide(X,identity),Z) != divide(X,Z)
| divide(X,divide(divide(X,identity),Z)) = divide(X,divide(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(divide(X,identity),Z)),divide(X,divide(divide(X,identity),Z))) ),[1,1],$fot(divide(X,Z))]]) ).
cnf(refute_0_186,plain,
( divide(divide(X,identity),Z) != divide(X,Z)
| divide(X,divide(divide(X,identity),Z)) = divide(X,divide(X,Z)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(X,identity),Z)),divide(X,divide(divide(X,identity),Z))) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
divide(X,divide(divide(X,identity),Z)) = divide(X,divide(X,Z)),
inference(resolve,[$cnf( $equal(divide(divide(X,identity),Z),divide(X,Z)) )],[refute_0_183,refute_0_186]) ).
cnf(refute_0_188,plain,
( divide(X,divide(divide(X,identity),Z)) != divide(X,divide(X,Z))
| inverse(inverse(Z)) != divide(X,divide(divide(X,identity),Z))
| inverse(inverse(Z)) = divide(X,divide(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(Z)),divide(X,divide(divide(X,identity),Z))) ),[1],$fot(divide(X,divide(X,Z)))]]) ).
cnf(refute_0_189,plain,
( inverse(inverse(Z)) != divide(X,divide(divide(X,identity),Z))
| inverse(inverse(Z)) = divide(X,divide(X,Z)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(X,identity),Z)),divide(X,divide(X,Z))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
inverse(inverse(Z)) = divide(X,divide(X,Z)),
inference(resolve,[$cnf( $equal(inverse(inverse(Z)),divide(X,divide(divide(X,identity),Z))) )],[refute_0_175,refute_0_189]) ).
cnf(refute_0_191,plain,
( inverse(inverse(Z)) != divide(X,divide(X,Z))
| divide(X,divide(X,Z)) = inverse(inverse(Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(inverse(Z)))),bind(Y0,$fot(divide(X,divide(X,Z))))]]) ).
cnf(refute_0_192,plain,
divide(X,divide(X,Z)) = inverse(inverse(Z)),
inference(resolve,[$cnf( $equal(inverse(inverse(Z)),divide(X,divide(X,Z))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
divide(X_7,divide(X_7,Z)) = inverse(inverse(Z)),
inference(subst,[],[refute_0_192:[bind(X,$fot(X_7))]]) ).
cnf(refute_0_194,plain,
( divide(X_7,divide(X_7,Z)) != inverse(inverse(Z))
| inverse(inverse(Z)) != Z
| divide(X_7,divide(X_7,Z)) = Z ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(divide(X_7,divide(X_7,Z)))),bind(Y0,$fot(inverse(inverse(Z)))),bind(Z0,$fot(Z))]]) ).
cnf(refute_0_195,plain,
( inverse(inverse(Z)) != Z
| divide(X_7,divide(X_7,Z)) = Z ),
inference(resolve,[$cnf( $equal(divide(X_7,divide(X_7,Z)),inverse(inverse(Z))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
divide(X_7,divide(X_7,Z)) = Z,
inference(resolve,[$cnf( $equal(inverse(inverse(Z)),Z) )],[refute_0_170,refute_0_195]) ).
cnf(refute_0_197,plain,
inverse(inverse(X_7)) = X_7,
inference(subst,[],[refute_0_169:[bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_198,plain,
divide(inverse(inverse(X_7)),divide(X_7,Z)) = divide(inverse(inverse(X_7)),divide(X_7,Z)),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(X_7)),divide(X_7,Z)))]]) ).
cnf(refute_0_199,plain,
( divide(inverse(inverse(X_7)),divide(X_7,Z)) != divide(inverse(inverse(X_7)),divide(X_7,Z))
| inverse(inverse(X_7)) != X_7
| divide(inverse(inverse(X_7)),divide(X_7,Z)) = divide(X_7,divide(X_7,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_7)),divide(X_7,Z)),divide(inverse(inverse(X_7)),divide(X_7,Z))) ),[1,0],$fot(X_7)]]) ).
cnf(refute_0_200,plain,
( inverse(inverse(X_7)) != X_7
| divide(inverse(inverse(X_7)),divide(X_7,Z)) = divide(X_7,divide(X_7,Z)) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_7)),divide(X_7,Z)),divide(inverse(inverse(X_7)),divide(X_7,Z))) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
divide(inverse(inverse(X_7)),divide(X_7,Z)) = divide(X_7,divide(X_7,Z)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_7)),X_7) )],[refute_0_197,refute_0_200]) ).
cnf(refute_0_202,plain,
( divide(X_7,divide(X_7,Z)) != Z
| divide(inverse(inverse(X_7)),divide(X_7,Z)) != divide(X_7,divide(X_7,Z))
| divide(inverse(inverse(X_7)),divide(X_7,Z)) = Z ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(divide(inverse(inverse(X_7)),divide(X_7,Z)))),bind(Y0,$fot(divide(X_7,divide(X_7,Z)))),bind(Z0,$fot(Z))]]) ).
cnf(refute_0_203,plain,
( divide(X_7,divide(X_7,Z)) != Z
| divide(inverse(inverse(X_7)),divide(X_7,Z)) = Z ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_7)),divide(X_7,Z)),divide(X_7,divide(X_7,Z))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
divide(inverse(inverse(X_7)),divide(X_7,Z)) = Z,
inference(resolve,[$cnf( $equal(divide(X_7,divide(X_7,Z)),Z) )],[refute_0_196,refute_0_203]) ).
cnf(refute_0_205,plain,
multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity) = multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity),
introduced(tautology,[refl,[$fot(multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity))]]) ).
cnf(refute_0_206,plain,
( multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity) != multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity)
| divide(inverse(inverse(X_7)),divide(X_7,Z)) != Z
| multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity) = multiply(Z,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity),multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity)) ),[1,0],$fot(Z)]]) ).
cnf(refute_0_207,plain,
( divide(inverse(inverse(X_7)),divide(X_7,Z)) != Z
| multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity) = multiply(Z,identity) ),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity),multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity)) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity) = multiply(Z,identity),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_7)),divide(X_7,Z)),Z) )],[refute_0_204,refute_0_207]) ).
cnf(refute_0_209,plain,
( multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity) != Z
| multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity) != multiply(Z,identity)
| multiply(Z,identity) = Z ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity),Z) ),[0],$fot(multiply(Z,identity))]]) ).
cnf(refute_0_210,plain,
( multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity) != Z
| multiply(Z,identity) = Z ),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity),multiply(Z,identity)) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
multiply(Z,identity) = Z,
inference(resolve,[$cnf( $equal(multiply(divide(inverse(inverse(X_7)),divide(X_7,Z)),identity),Z) )],[refute_0_124,refute_0_210]) ).
cnf(refute_0_212,plain,
multiply(X_10,identity) = X_10,
inference(subst,[],[refute_0_211:[bind(Z,$fot(X_10))]]) ).
cnf(refute_0_213,plain,
inverse(multiply(X_10,identity)) = inverse(multiply(X_10,identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(X_10,identity)))]]) ).
cnf(refute_0_214,plain,
( multiply(X_10,identity) != X_10
| inverse(multiply(X_10,identity)) != inverse(multiply(X_10,identity))
| inverse(multiply(X_10,identity)) = inverse(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,identity)),inverse(multiply(X_10,identity))) ),[1,0],$fot(X_10)]]) ).
cnf(refute_0_215,plain,
( multiply(X_10,identity) != X_10
| inverse(multiply(X_10,identity)) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,identity)),inverse(multiply(X_10,identity))) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
inverse(multiply(X_10,identity)) = inverse(X_10),
inference(resolve,[$cnf( $equal(multiply(X_10,identity),X_10) )],[refute_0_212,refute_0_215]) ).
cnf(refute_0_217,plain,
multiply(X_15,inverse(multiply(X_10,identity))) = multiply(X_15,inverse(multiply(X_10,identity))),
introduced(tautology,[refl,[$fot(multiply(X_15,inverse(multiply(X_10,identity))))]]) ).
cnf(refute_0_218,plain,
( multiply(X_15,inverse(multiply(X_10,identity))) != multiply(X_15,inverse(multiply(X_10,identity)))
| inverse(multiply(X_10,identity)) != inverse(X_10)
| multiply(X_15,inverse(multiply(X_10,identity))) = multiply(X_15,inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,inverse(multiply(X_10,identity))),multiply(X_15,inverse(multiply(X_10,identity)))) ),[1,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_219,plain,
( inverse(multiply(X_10,identity)) != inverse(X_10)
| multiply(X_15,inverse(multiply(X_10,identity))) = multiply(X_15,inverse(X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(multiply(X_10,identity))),multiply(X_15,inverse(multiply(X_10,identity)))) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
multiply(X_15,inverse(multiply(X_10,identity))) = multiply(X_15,inverse(X_10)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,identity)),inverse(X_10)) )],[refute_0_216,refute_0_219]) ).
cnf(refute_0_221,plain,
( multiply(X_15,inverse(multiply(X_10,identity))) != multiply(X_15,inverse(X_10))
| multiply(X_15,inverse(multiply(X_10,identity))) != divide(X_15,X_10)
| multiply(X_15,inverse(X_10)) = divide(X_15,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,inverse(multiply(X_10,identity))),divide(X_15,X_10)) ),[0],$fot(multiply(X_15,inverse(X_10)))]]) ).
cnf(refute_0_222,plain,
( multiply(X_15,inverse(multiply(X_10,identity))) != divide(X_15,X_10)
| multiply(X_15,inverse(X_10)) = divide(X_15,X_10) ),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(multiply(X_10,identity))),multiply(X_15,inverse(X_10))) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
multiply(X_15,inverse(X_10)) = divide(X_15,X_10),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(multiply(X_10,identity))),divide(X_15,X_10)) )],[refute_0_99,refute_0_222]) ).
cnf(refute_0_224,plain,
multiply(a1,inverse(a1)) = divide(a1,a1),
inference(subst,[],[refute_0_223:[bind(X_10,$fot(a1)),bind(X_15,$fot(a1))]]) ).
cnf(refute_0_225,plain,
( multiply(a1,inverse(a1)) != divide(a1,a1)
| divide(a1,a1) != identity
| multiply(a1,inverse(a1)) = identity ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(multiply(a1,inverse(a1)))),bind(Y0,$fot(divide(a1,a1))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_226,plain,
( divide(a1,a1) != identity
| multiply(a1,inverse(a1)) = identity ),
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),divide(a1,a1)) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
multiply(a1,inverse(a1)) = identity,
inference(resolve,[$cnf( $equal(divide(a1,a1),identity) )],[refute_0_5,refute_0_226]) ).
cnf(refute_0_228,plain,
divide(divide(X,divide(divide(X,inverse(X_16)),Z)),inverse(X_16)) = Z,
inference(subst,[],[single_axiom:[bind(Y,$fot(inverse(X_16)))]]) ).
cnf(refute_0_229,plain,
multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16) = divide(divide(X,divide(divide(X,inverse(X_16)),Z)),inverse(X_16)),
inference(subst,[],[refute_0_15:[bind(X,$fot(divide(X,divide(divide(X,inverse(X_16)),Z)))),bind(Y,$fot(X_16))]]) ).
cnf(refute_0_230,plain,
( multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16) != divide(divide(X,divide(divide(X,inverse(X_16)),Z)),inverse(X_16))
| divide(divide(X,divide(divide(X,inverse(X_16)),Z)),inverse(X_16)) = multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16))),bind(Y0,$fot(divide(divide(X,divide(divide(X,inverse(X_16)),Z)),inverse(X_16))))]]) ).
cnf(refute_0_231,plain,
divide(divide(X,divide(divide(X,inverse(X_16)),Z)),inverse(X_16)) = multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16),
inference(resolve,[$cnf( $equal(multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16),divide(divide(X,divide(divide(X,inverse(X_16)),Z)),inverse(X_16))) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
( divide(divide(X,divide(divide(X,inverse(X_16)),Z)),inverse(X_16)) != Z
| divide(divide(X,divide(divide(X,inverse(X_16)),Z)),inverse(X_16)) != multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16)
| multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,divide(divide(X,inverse(X_16)),Z)),inverse(X_16)),Z) ),[0],$fot(multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16))]]) ).
cnf(refute_0_233,plain,
( divide(divide(X,divide(divide(X,inverse(X_16)),Z)),inverse(X_16)) != Z
| multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16) = Z ),
inference(resolve,[$cnf( $equal(divide(divide(X,divide(divide(X,inverse(X_16)),Z)),inverse(X_16)),multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16)) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16) = Z,
inference(resolve,[$cnf( $equal(divide(divide(X,divide(divide(X,inverse(X_16)),Z)),inverse(X_16)),Z) )],[refute_0_228,refute_0_233]) ).
cnf(refute_0_235,plain,
divide(X,inverse(X_16)) = multiply(X,X_16),
inference(subst,[],[refute_0_133:[bind(Y,$fot(X_16))]]) ).
cnf(refute_0_236,plain,
divide(divide(X,inverse(X_16)),Z) = divide(divide(X,inverse(X_16)),Z),
introduced(tautology,[refl,[$fot(divide(divide(X,inverse(X_16)),Z))]]) ).
cnf(refute_0_237,plain,
( divide(X,inverse(X_16)) != multiply(X,X_16)
| divide(divide(X,inverse(X_16)),Z) != divide(divide(X,inverse(X_16)),Z)
| divide(divide(X,inverse(X_16)),Z) = divide(multiply(X,X_16),Z) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,inverse(X_16)),Z),divide(divide(X,inverse(X_16)),Z)) ),[1,0],$fot(multiply(X,X_16))]]) ).
cnf(refute_0_238,plain,
( divide(X,inverse(X_16)) != multiply(X,X_16)
| divide(divide(X,inverse(X_16)),Z) = divide(multiply(X,X_16),Z) ),
inference(resolve,[$cnf( $equal(divide(divide(X,inverse(X_16)),Z),divide(divide(X,inverse(X_16)),Z)) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
divide(divide(X,inverse(X_16)),Z) = divide(multiply(X,X_16),Z),
inference(resolve,[$cnf( $equal(divide(X,inverse(X_16)),multiply(X,X_16)) )],[refute_0_235,refute_0_238]) ).
cnf(refute_0_240,plain,
divide(X,divide(divide(X,inverse(X_16)),Z)) = divide(X,divide(divide(X,inverse(X_16)),Z)),
introduced(tautology,[refl,[$fot(divide(X,divide(divide(X,inverse(X_16)),Z)))]]) ).
cnf(refute_0_241,plain,
( divide(X,divide(divide(X,inverse(X_16)),Z)) != divide(X,divide(divide(X,inverse(X_16)),Z))
| divide(divide(X,inverse(X_16)),Z) != divide(multiply(X,X_16),Z)
| divide(X,divide(divide(X,inverse(X_16)),Z)) = divide(X,divide(multiply(X,X_16),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(divide(X,inverse(X_16)),Z)),divide(X,divide(divide(X,inverse(X_16)),Z))) ),[1,1],$fot(divide(multiply(X,X_16),Z))]]) ).
cnf(refute_0_242,plain,
( divide(divide(X,inverse(X_16)),Z) != divide(multiply(X,X_16),Z)
| divide(X,divide(divide(X,inverse(X_16)),Z)) = divide(X,divide(multiply(X,X_16),Z)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(X,inverse(X_16)),Z)),divide(X,divide(divide(X,inverse(X_16)),Z))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
divide(X,divide(divide(X,inverse(X_16)),Z)) = divide(X,divide(multiply(X,X_16),Z)),
inference(resolve,[$cnf( $equal(divide(divide(X,inverse(X_16)),Z),divide(multiply(X,X_16),Z)) )],[refute_0_239,refute_0_242]) ).
cnf(refute_0_244,plain,
multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16) = multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16),
introduced(tautology,[refl,[$fot(multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16))]]) ).
cnf(refute_0_245,plain,
( multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16) != multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16)
| divide(X,divide(divide(X,inverse(X_16)),Z)) != divide(X,divide(multiply(X,X_16),Z))
| multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16) = multiply(divide(X,divide(multiply(X,X_16),Z)),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16),multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16)) ),[1,0],$fot(divide(X,divide(multiply(X,X_16),Z)))]]) ).
cnf(refute_0_246,plain,
( divide(X,divide(divide(X,inverse(X_16)),Z)) != divide(X,divide(multiply(X,X_16),Z))
| multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16) = multiply(divide(X,divide(multiply(X,X_16),Z)),X_16) ),
inference(resolve,[$cnf( $equal(multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16),multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16)) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16) = multiply(divide(X,divide(multiply(X,X_16),Z)),X_16),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(X,inverse(X_16)),Z)),divide(X,divide(multiply(X,X_16),Z))) )],[refute_0_243,refute_0_246]) ).
cnf(refute_0_248,plain,
( multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16) != Z
| multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16) != multiply(divide(X,divide(multiply(X,X_16),Z)),X_16)
| multiply(divide(X,divide(multiply(X,X_16),Z)),X_16) = Z ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16),Z) ),[0],$fot(multiply(divide(X,divide(multiply(X,X_16),Z)),X_16))]]) ).
cnf(refute_0_249,plain,
( multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16) != Z
| multiply(divide(X,divide(multiply(X,X_16),Z)),X_16) = Z ),
inference(resolve,[$cnf( $equal(multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16),multiply(divide(X,divide(multiply(X,X_16),Z)),X_16)) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
multiply(divide(X,divide(multiply(X,X_16),Z)),X_16) = Z,
inference(resolve,[$cnf( $equal(multiply(divide(X,divide(divide(X,inverse(X_16)),Z)),X_16),Z) )],[refute_0_234,refute_0_249]) ).
cnf(refute_0_251,plain,
divide(divide(X,divide(divide(X,divide(divide(X,Z),X_4)),Z)),divide(divide(X,Z),X_4)) = Z,
inference(subst,[],[single_axiom:[bind(Y,$fot(divide(divide(X,Z),X_4)))]]) ).
cnf(refute_0_252,plain,
divide(divide(X,divide(divide(X,Z),X_4)),Z) = X_4,
inference(subst,[],[single_axiom:[bind(Y,$fot(Z)),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_253,plain,
( divide(divide(X,divide(divide(X,Z),X_4)),Z) != X_4
| divide(divide(X,divide(divide(X,divide(divide(X,Z),X_4)),Z)),divide(divide(X,Z),X_4)) != Z
| divide(divide(X,X_4),divide(divide(X,Z),X_4)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,divide(divide(X,divide(divide(X,Z),X_4)),Z)),divide(divide(X,Z),X_4)),Z) ),[0,0,1],$fot(X_4)]]) ).
cnf(refute_0_254,plain,
( divide(divide(X,divide(divide(X,divide(divide(X,Z),X_4)),Z)),divide(divide(X,Z),X_4)) != Z
| divide(divide(X,X_4),divide(divide(X,Z),X_4)) = Z ),
inference(resolve,[$cnf( $equal(divide(divide(X,divide(divide(X,Z),X_4)),Z),X_4) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
divide(divide(X,X_4),divide(divide(X,Z),X_4)) = Z,
inference(resolve,[$cnf( $equal(divide(divide(X,divide(divide(X,divide(divide(X,Z),X_4)),Z)),divide(divide(X,Z),X_4)),Z) )],[refute_0_251,refute_0_254]) ).
cnf(refute_0_256,plain,
divide(divide(X_35,X_36),divide(divide(X_35,X_35),X_36)) = X_35,
inference(subst,[],[refute_0_255:[bind(X,$fot(X_35)),bind(Z,$fot(X_35)),bind(X_4,$fot(X_36))]]) ).
cnf(refute_0_257,plain,
identity = divide(X_35,X_35),
inference(subst,[],[identity:[bind(X,$fot(X_35))]]) ).
cnf(refute_0_258,plain,
( identity != divide(X_35,X_35)
| divide(X_35,X_35) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(X_35,X_35)))]]) ).
cnf(refute_0_259,plain,
divide(X_35,X_35) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_35,X_35)) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
( divide(X_35,X_35) != identity
| divide(divide(X_35,X_36),divide(divide(X_35,X_35),X_36)) != X_35
| divide(divide(X_35,X_36),divide(identity,X_36)) = X_35 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_35,X_36),divide(divide(X_35,X_35),X_36)),X_35) ),[0,1,0],$fot(identity)]]) ).
cnf(refute_0_261,plain,
( divide(divide(X_35,X_36),divide(divide(X_35,X_35),X_36)) != X_35
| divide(divide(X_35,X_36),divide(identity,X_36)) = X_35 ),
inference(resolve,[$cnf( $equal(divide(X_35,X_35),identity) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
divide(divide(X_35,X_36),divide(identity,X_36)) = X_35,
inference(resolve,[$cnf( $equal(divide(divide(X_35,X_36),divide(divide(X_35,X_35),X_36)),X_35) )],[refute_0_256,refute_0_261]) ).
cnf(refute_0_263,plain,
divide(divide(X_35,X_36),inverse(X_36)) = multiply(divide(X_35,X_36),X_36),
inference(subst,[],[refute_0_133:[bind(X,$fot(divide(X_35,X_36))),bind(Y,$fot(X_36))]]) ).
cnf(refute_0_264,plain,
divide(identity,X_36) = inverse(X_36),
inference(subst,[],[refute_0_33:[bind(X,$fot(X_36))]]) ).
cnf(refute_0_265,plain,
divide(divide(X_35,X_36),divide(identity,X_36)) = divide(divide(X_35,X_36),divide(identity,X_36)),
introduced(tautology,[refl,[$fot(divide(divide(X_35,X_36),divide(identity,X_36)))]]) ).
cnf(refute_0_266,plain,
( divide(divide(X_35,X_36),divide(identity,X_36)) != divide(divide(X_35,X_36),divide(identity,X_36))
| divide(identity,X_36) != inverse(X_36)
| divide(divide(X_35,X_36),divide(identity,X_36)) = divide(divide(X_35,X_36),inverse(X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_35,X_36),divide(identity,X_36)),divide(divide(X_35,X_36),divide(identity,X_36))) ),[1,1],$fot(inverse(X_36))]]) ).
cnf(refute_0_267,plain,
( divide(identity,X_36) != inverse(X_36)
| divide(divide(X_35,X_36),divide(identity,X_36)) = divide(divide(X_35,X_36),inverse(X_36)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_35,X_36),divide(identity,X_36)),divide(divide(X_35,X_36),divide(identity,X_36))) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
divide(divide(X_35,X_36),divide(identity,X_36)) = divide(divide(X_35,X_36),inverse(X_36)),
inference(resolve,[$cnf( $equal(divide(identity,X_36),inverse(X_36)) )],[refute_0_264,refute_0_267]) ).
cnf(refute_0_269,plain,
( divide(divide(X_35,X_36),divide(identity,X_36)) != divide(divide(X_35,X_36),inverse(X_36))
| divide(divide(X_35,X_36),inverse(X_36)) != multiply(divide(X_35,X_36),X_36)
| divide(divide(X_35,X_36),divide(identity,X_36)) = multiply(divide(X_35,X_36),X_36) ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(divide(divide(X_35,X_36),divide(identity,X_36)))),bind(Y0,$fot(divide(divide(X_35,X_36),inverse(X_36)))),bind(Z0,$fot(multiply(divide(X_35,X_36),X_36)))]]) ).
cnf(refute_0_270,plain,
( divide(divide(X_35,X_36),inverse(X_36)) != multiply(divide(X_35,X_36),X_36)
| divide(divide(X_35,X_36),divide(identity,X_36)) = multiply(divide(X_35,X_36),X_36) ),
inference(resolve,[$cnf( $equal(divide(divide(X_35,X_36),divide(identity,X_36)),divide(divide(X_35,X_36),inverse(X_36))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
divide(divide(X_35,X_36),divide(identity,X_36)) = multiply(divide(X_35,X_36),X_36),
inference(resolve,[$cnf( $equal(divide(divide(X_35,X_36),inverse(X_36)),multiply(divide(X_35,X_36),X_36)) )],[refute_0_263,refute_0_270]) ).
cnf(refute_0_272,plain,
( divide(divide(X_35,X_36),divide(identity,X_36)) != X_35
| divide(divide(X_35,X_36),divide(identity,X_36)) != multiply(divide(X_35,X_36),X_36)
| multiply(divide(X_35,X_36),X_36) = X_35 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_35,X_36),divide(identity,X_36)),X_35) ),[0],$fot(multiply(divide(X_35,X_36),X_36))]]) ).
cnf(refute_0_273,plain,
( divide(divide(X_35,X_36),divide(identity,X_36)) != X_35
| multiply(divide(X_35,X_36),X_36) = X_35 ),
inference(resolve,[$cnf( $equal(divide(divide(X_35,X_36),divide(identity,X_36)),multiply(divide(X_35,X_36),X_36)) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
multiply(divide(X_35,X_36),X_36) = X_35,
inference(resolve,[$cnf( $equal(divide(divide(X_35,X_36),divide(identity,X_36)),X_35) )],[refute_0_262,refute_0_273]) ).
cnf(refute_0_275,plain,
multiply(divide(multiply(X_38,X_4),X_38),X_38) = multiply(X_38,X_4),
inference(subst,[],[refute_0_274:[bind(X_35,$fot(multiply(X_38,X_4))),bind(X_36,$fot(X_38))]]) ).
cnf(refute_0_276,plain,
divide(multiply(X_38,X_4),X_38) = X_4,
inference(subst,[],[refute_0_151:[bind(X_3,$fot(X_38))]]) ).
cnf(refute_0_277,plain,
( multiply(divide(multiply(X_38,X_4),X_38),X_38) != multiply(X_38,X_4)
| divide(multiply(X_38,X_4),X_38) != X_4
| multiply(X_4,X_38) = multiply(X_38,X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(multiply(X_38,X_4),X_38),X_38),multiply(X_38,X_4)) ),[0,0],$fot(X_4)]]) ).
cnf(refute_0_278,plain,
( multiply(divide(multiply(X_38,X_4),X_38),X_38) != multiply(X_38,X_4)
| multiply(X_4,X_38) = multiply(X_38,X_4) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_38,X_4),X_38),X_4) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
multiply(X_4,X_38) = multiply(X_38,X_4),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(X_38,X_4),X_38),X_38),multiply(X_38,X_4)) )],[refute_0_275,refute_0_278]) ).
cnf(refute_0_280,plain,
( multiply(X_4,X_38) != multiply(X_38,X_4)
| multiply(X_38,X_4) = multiply(X_4,X_38) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_4,X_38))),bind(Y0,$fot(multiply(X_38,X_4)))]]) ).
cnf(refute_0_281,plain,
multiply(X_38,X_4) = multiply(X_4,X_38),
inference(resolve,[$cnf( $equal(multiply(X_4,X_38),multiply(X_38,X_4)) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
multiply(divide(X,divide(multiply(X,X_16),Z)),X_16) = multiply(X_16,divide(X,divide(multiply(X,X_16),Z))),
inference(subst,[],[refute_0_281:[bind(X_38,$fot(divide(X,divide(multiply(X,X_16),Z)))),bind(X_4,$fot(X_16))]]) ).
cnf(refute_0_283,plain,
( multiply(divide(X,divide(multiply(X,X_16),Z)),X_16) != Z
| multiply(divide(X,divide(multiply(X,X_16),Z)),X_16) != multiply(X_16,divide(X,divide(multiply(X,X_16),Z)))
| multiply(X_16,divide(X,divide(multiply(X,X_16),Z))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X,divide(multiply(X,X_16),Z)),X_16),Z) ),[0],$fot(multiply(X_16,divide(X,divide(multiply(X,X_16),Z))))]]) ).
cnf(refute_0_284,plain,
( multiply(divide(X,divide(multiply(X,X_16),Z)),X_16) != Z
| multiply(X_16,divide(X,divide(multiply(X,X_16),Z))) = Z ),
inference(resolve,[$cnf( $equal(multiply(divide(X,divide(multiply(X,X_16),Z)),X_16),multiply(X_16,divide(X,divide(multiply(X,X_16),Z)))) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
multiply(X_16,divide(X,divide(multiply(X,X_16),Z))) = Z,
inference(resolve,[$cnf( $equal(multiply(divide(X,divide(multiply(X,X_16),Z)),X_16),Z) )],[refute_0_250,refute_0_284]) ).
cnf(refute_0_286,plain,
multiply(X_50,divide(X_48,divide(multiply(X_48,X_50),multiply(X_48,X_50)))) = multiply(X_48,X_50),
inference(subst,[],[refute_0_285:[bind(X,$fot(X_48)),bind(Z,$fot(multiply(X_48,X_50))),bind(X_16,$fot(X_50))]]) ).
cnf(refute_0_287,plain,
identity = divide(multiply(X_48,X_50),multiply(X_48,X_50)),
inference(subst,[],[identity:[bind(X,$fot(multiply(X_48,X_50)))]]) ).
cnf(refute_0_288,plain,
( identity != divide(multiply(X_48,X_50),multiply(X_48,X_50))
| divide(multiply(X_48,X_50),multiply(X_48,X_50)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(multiply(X_48,X_50),multiply(X_48,X_50))))]]) ).
cnf(refute_0_289,plain,
divide(multiply(X_48,X_50),multiply(X_48,X_50)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(multiply(X_48,X_50),multiply(X_48,X_50))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
( multiply(X_50,divide(X_48,divide(multiply(X_48,X_50),multiply(X_48,X_50)))) != multiply(X_48,X_50)
| divide(multiply(X_48,X_50),multiply(X_48,X_50)) != identity
| multiply(X_50,divide(X_48,identity)) = multiply(X_48,X_50) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_50,divide(X_48,divide(multiply(X_48,X_50),multiply(X_48,X_50)))),multiply(X_48,X_50)) ),[0,1,1],$fot(identity)]]) ).
cnf(refute_0_291,plain,
( multiply(X_50,divide(X_48,divide(multiply(X_48,X_50),multiply(X_48,X_50)))) != multiply(X_48,X_50)
| multiply(X_50,divide(X_48,identity)) = multiply(X_48,X_50) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_48,X_50),multiply(X_48,X_50)),identity) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
multiply(X_50,divide(X_48,identity)) = multiply(X_48,X_50),
inference(resolve,[$cnf( $equal(multiply(X_50,divide(X_48,divide(multiply(X_48,X_50),multiply(X_48,X_50)))),multiply(X_48,X_50)) )],[refute_0_286,refute_0_291]) ).
cnf(refute_0_293,plain,
multiply(X_15,identity) = X_15,
inference(subst,[],[refute_0_211:[bind(Z,$fot(X_15))]]) ).
cnf(refute_0_294,plain,
( multiply(X_15,identity) != X_15
| multiply(X_15,identity) != divide(X_15,identity)
| X_15 = divide(X_15,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,identity),divide(X_15,identity)) ),[0],$fot(X_15)]]) ).
cnf(refute_0_295,plain,
( multiply(X_15,identity) != divide(X_15,identity)
| X_15 = divide(X_15,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_15,identity),X_15) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
X_15 = divide(X_15,identity),
inference(resolve,[$cnf( $equal(multiply(X_15,identity),divide(X_15,identity)) )],[refute_0_85,refute_0_295]) ).
cnf(refute_0_297,plain,
( X_15 != divide(X_15,identity)
| divide(X_15,identity) = X_15 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_15)),bind(Y0,$fot(divide(X_15,identity)))]]) ).
cnf(refute_0_298,plain,
divide(X_15,identity) = X_15,
inference(resolve,[$cnf( $equal(X_15,divide(X_15,identity)) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
divide(X_48,identity) = X_48,
inference(subst,[],[refute_0_298:[bind(X_15,$fot(X_48))]]) ).
cnf(refute_0_300,plain,
multiply(X_50,divide(X_48,identity)) = multiply(X_50,divide(X_48,identity)),
introduced(tautology,[refl,[$fot(multiply(X_50,divide(X_48,identity)))]]) ).
cnf(refute_0_301,plain,
( multiply(X_50,divide(X_48,identity)) != multiply(X_50,divide(X_48,identity))
| divide(X_48,identity) != X_48
| multiply(X_50,divide(X_48,identity)) = multiply(X_50,X_48) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_50,divide(X_48,identity)),multiply(X_50,divide(X_48,identity))) ),[1,1],$fot(X_48)]]) ).
cnf(refute_0_302,plain,
( divide(X_48,identity) != X_48
| multiply(X_50,divide(X_48,identity)) = multiply(X_50,X_48) ),
inference(resolve,[$cnf( $equal(multiply(X_50,divide(X_48,identity)),multiply(X_50,divide(X_48,identity))) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
multiply(X_50,divide(X_48,identity)) = multiply(X_50,X_48),
inference(resolve,[$cnf( $equal(divide(X_48,identity),X_48) )],[refute_0_299,refute_0_302]) ).
cnf(refute_0_304,plain,
( multiply(X_50,divide(X_48,identity)) != multiply(X_48,X_50)
| multiply(X_50,divide(X_48,identity)) != multiply(X_50,X_48)
| multiply(X_50,X_48) = multiply(X_48,X_50) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_50,divide(X_48,identity)),multiply(X_48,X_50)) ),[0],$fot(multiply(X_50,X_48))]]) ).
cnf(refute_0_305,plain,
( multiply(X_50,divide(X_48,identity)) != multiply(X_48,X_50)
| multiply(X_50,X_48) = multiply(X_48,X_50) ),
inference(resolve,[$cnf( $equal(multiply(X_50,divide(X_48,identity)),multiply(X_50,X_48)) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
multiply(X_50,X_48) = multiply(X_48,X_50),
inference(resolve,[$cnf( $equal(multiply(X_50,divide(X_48,identity)),multiply(X_48,X_50)) )],[refute_0_292,refute_0_305]) ).
cnf(refute_0_307,plain,
( multiply(X_50,X_48) != multiply(X_48,X_50)
| multiply(X_48,X_50) = multiply(X_50,X_48) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_50,X_48))),bind(Y0,$fot(multiply(X_48,X_50)))]]) ).
cnf(refute_0_308,plain,
multiply(X_48,X_50) = multiply(X_50,X_48),
inference(resolve,[$cnf( $equal(multiply(X_50,X_48),multiply(X_48,X_50)) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(subst,[],[refute_0_308:[bind(X_48,$fot(inverse(a1))),bind(X_50,$fot(a1))]]) ).
cnf(refute_0_310,plain,
( multiply(a1,inverse(a1)) != identity
| multiply(inverse(a1),a1) != multiply(a1,inverse(a1))
| multiply(inverse(a1),a1) = identity ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(multiply(inverse(a1),a1))),bind(Y0,$fot(multiply(a1,inverse(a1)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_311,plain,
( multiply(a1,inverse(a1)) != identity
| multiply(inverse(a1),a1) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
multiply(inverse(a1),a1) = identity,
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),identity) )],[refute_0_227,refute_0_311]) ).
cnf(refute_0_313,plain,
( multiply(inverse(a1),a1) != identity
| identity != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) ),[0],$fot(identity)]]) ).
cnf(refute_0_314,plain,
( identity != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
divide(b1,b1) = identity,
inference(subst,[],[refute_0_4:[bind(X,$fot(b1))]]) ).
cnf(refute_0_316,plain,
multiply(b1,inverse(b1)) = divide(b1,b1),
inference(subst,[],[refute_0_223:[bind(X_10,$fot(b1)),bind(X_15,$fot(b1))]]) ).
cnf(refute_0_317,plain,
( multiply(b1,inverse(b1)) != divide(b1,b1)
| divide(b1,b1) != identity
| multiply(b1,inverse(b1)) = identity ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(multiply(b1,inverse(b1)))),bind(Y0,$fot(divide(b1,b1))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_318,plain,
( divide(b1,b1) != identity
| multiply(b1,inverse(b1)) = identity ),
inference(resolve,[$cnf( $equal(multiply(b1,inverse(b1)),divide(b1,b1)) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
multiply(b1,inverse(b1)) = identity,
inference(resolve,[$cnf( $equal(divide(b1,b1),identity) )],[refute_0_315,refute_0_318]) ).
cnf(refute_0_320,plain,
multiply(inverse(b1),b1) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_308:[bind(X_48,$fot(inverse(b1))),bind(X_50,$fot(b1))]]) ).
cnf(refute_0_321,plain,
( multiply(b1,inverse(b1)) != identity
| multiply(inverse(b1),b1) != multiply(b1,inverse(b1))
| multiply(inverse(b1),b1) = identity ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(multiply(inverse(b1),b1))),bind(Y0,$fot(multiply(b1,inverse(b1)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_322,plain,
( multiply(b1,inverse(b1)) != identity
| multiply(inverse(b1),b1) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),multiply(b1,inverse(b1))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
multiply(inverse(b1),b1) = identity,
inference(resolve,[$cnf( $equal(multiply(b1,inverse(b1)),identity) )],[refute_0_319,refute_0_322]) ).
cnf(refute_0_324,plain,
( multiply(inverse(b1),b1) != identity
| identity != identity
| identity = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(identity,multiply(inverse(b1),b1)) ),[1],$fot(identity)]]) ).
cnf(refute_0_325,plain,
( identity != identity
| identity = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),identity) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
( identity != identity
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(identity,multiply(inverse(b1),b1)) )],[refute_0_325,refute_0_314]) ).
cnf(refute_0_327,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a4,b4) != multiply(b4,a4)
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_326,prove_these_axioms]) ).
cnf(refute_0_328,plain,
multiply(b4,a4) = multiply(a4,b4),
inference(subst,[],[refute_0_308:[bind(X_48,$fot(b4)),bind(X_50,$fot(a4))]]) ).
cnf(refute_0_329,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(b4,a4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a4,b4),multiply(b4,a4)) ),[1],$fot(multiply(a4,b4))]]) ).
cnf(refute_0_330,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(b4,a4),multiply(a4,b4)) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a4,b4) != multiply(a4,b4)
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(b4,a4)) )],[refute_0_330,refute_0_327]) ).
cnf(refute_0_332,plain,
multiply(a2,identity) = a2,
inference(subst,[],[refute_0_211:[bind(Z,$fot(a2))]]) ).
cnf(refute_0_333,plain,
divide(b2,b2) = identity,
inference(subst,[],[refute_0_4:[bind(X,$fot(b2))]]) ).
cnf(refute_0_334,plain,
multiply(b2,inverse(b2)) = divide(b2,b2),
inference(subst,[],[refute_0_223:[bind(X_10,$fot(b2)),bind(X_15,$fot(b2))]]) ).
cnf(refute_0_335,plain,
( multiply(b2,inverse(b2)) != divide(b2,b2)
| divide(b2,b2) != identity
| multiply(b2,inverse(b2)) = identity ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(multiply(b2,inverse(b2)))),bind(Y0,$fot(divide(b2,b2))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_336,plain,
( divide(b2,b2) != identity
| multiply(b2,inverse(b2)) = identity ),
inference(resolve,[$cnf( $equal(multiply(b2,inverse(b2)),divide(b2,b2)) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
multiply(b2,inverse(b2)) = identity,
inference(resolve,[$cnf( $equal(divide(b2,b2),identity) )],[refute_0_333,refute_0_336]) ).
cnf(refute_0_338,plain,
multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,multiply(b2,inverse(b2))),
introduced(tautology,[refl,[$fot(multiply(a2,multiply(b2,inverse(b2))))]]) ).
cnf(refute_0_339,plain,
( multiply(a2,multiply(b2,inverse(b2))) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(b2,inverse(b2)) != identity
| multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),multiply(a2,multiply(b2,inverse(b2)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_340,plain,
( multiply(b2,inverse(b2)) != identity
| multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,identity) ),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,identity),
inference(resolve,[$cnf( $equal(multiply(b2,inverse(b2)),identity) )],[refute_0_337,refute_0_340]) ).
cnf(refute_0_342,plain,
( multiply(a2,multiply(b2,inverse(b2))) != multiply(a2,identity)
| multiply(a2,identity) != a2
| multiply(a2,multiply(b2,inverse(b2))) = a2 ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(multiply(a2,multiply(b2,inverse(b2))))),bind(Y0,$fot(multiply(a2,identity))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_343,plain,
( multiply(a2,identity) != a2
| multiply(a2,multiply(b2,inverse(b2))) = a2 ),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),multiply(a2,identity)) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
multiply(a2,multiply(b2,inverse(b2))) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,identity),a2) )],[refute_0_332,refute_0_343]) ).
cnf(refute_0_345,plain,
multiply(X_15,inverse(divide(X_51,X_52))) = divide(X_15,divide(X_51,X_52)),
inference(subst,[],[refute_0_223:[bind(X_10,$fot(divide(X_51,X_52)))]]) ).
cnf(refute_0_346,plain,
multiply(divide(inverse(Y),X_43),Y) = divide(divide(inverse(Y),X_43),inverse(Y)),
inference(subst,[],[refute_0_15:[bind(X,$fot(divide(inverse(Y),X_43)))]]) ).
cnf(refute_0_347,plain,
divide(multiply(X_3,inverse(X_32)),X_3) = inverse(X_32),
inference(subst,[],[refute_0_151:[bind(X_4,$fot(inverse(X_32)))]]) ).
cnf(refute_0_348,plain,
multiply(X_3,inverse(X_32)) = divide(X_3,X_32),
inference(subst,[],[refute_0_223:[bind(X_10,$fot(X_32)),bind(X_15,$fot(X_3))]]) ).
cnf(refute_0_349,plain,
( multiply(X_3,inverse(X_32)) != divide(X_3,X_32)
| divide(multiply(X_3,inverse(X_32)),X_3) != inverse(X_32)
| divide(divide(X_3,X_32),X_3) = inverse(X_32) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_3,inverse(X_32)),X_3),inverse(X_32)) ),[0,0],$fot(divide(X_3,X_32))]]) ).
cnf(refute_0_350,plain,
( divide(multiply(X_3,inverse(X_32)),X_3) != inverse(X_32)
| divide(divide(X_3,X_32),X_3) = inverse(X_32) ),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(X_32)),divide(X_3,X_32)) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
divide(divide(X_3,X_32),X_3) = inverse(X_32),
inference(resolve,[$cnf( $equal(divide(multiply(X_3,inverse(X_32)),X_3),inverse(X_32)) )],[refute_0_347,refute_0_350]) ).
cnf(refute_0_352,plain,
divide(divide(inverse(Y),X_43),inverse(Y)) = inverse(X_43),
inference(subst,[],[refute_0_351:[bind(X_3,$fot(inverse(Y))),bind(X_32,$fot(X_43))]]) ).
cnf(refute_0_353,plain,
( multiply(divide(inverse(Y),X_43),Y) != divide(divide(inverse(Y),X_43),inverse(Y))
| divide(divide(inverse(Y),X_43),inverse(Y)) != inverse(X_43)
| multiply(divide(inverse(Y),X_43),Y) = inverse(X_43) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(divide(inverse(Y),X_43),Y),inverse(X_43)) ),[0],$fot(divide(divide(inverse(Y),X_43),inverse(Y)))]]) ).
cnf(refute_0_354,plain,
( multiply(divide(inverse(Y),X_43),Y) != divide(divide(inverse(Y),X_43),inverse(Y))
| multiply(divide(inverse(Y),X_43),Y) = inverse(X_43) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(Y),X_43),inverse(Y)),inverse(X_43)) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
multiply(divide(inverse(Y),X_43),Y) = inverse(X_43),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(Y),X_43),Y),divide(divide(inverse(Y),X_43),inverse(Y))) )],[refute_0_346,refute_0_354]) ).
cnf(refute_0_356,plain,
multiply(Y,inverse(multiply(Y,X_43))) = divide(Y,multiply(Y,X_43)),
inference(subst,[],[refute_0_223:[bind(X_10,$fot(multiply(Y,X_43))),bind(X_15,$fot(Y))]]) ).
cnf(refute_0_357,plain,
multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y) = divide(inverse(multiply(inverse(inverse(Y)),X_24)),inverse(Y)),
inference(subst,[],[refute_0_15:[bind(X,$fot(inverse(multiply(inverse(inverse(Y)),X_24))))]]) ).
cnf(refute_0_358,plain,
divide(inverse(divide(inverse(X_3),inverse(X_16))),X_3) = inverse(X_16),
inference(subst,[],[refute_0_41:[bind(X_4,$fot(inverse(X_16)))]]) ).
cnf(refute_0_359,plain,
multiply(inverse(X_3),X_16) = divide(inverse(X_3),inverse(X_16)),
inference(subst,[],[refute_0_15:[bind(X,$fot(inverse(X_3))),bind(Y,$fot(X_16))]]) ).
cnf(refute_0_360,plain,
( multiply(inverse(X_3),X_16) != divide(inverse(X_3),inverse(X_16))
| divide(inverse(X_3),inverse(X_16)) = multiply(inverse(X_3),X_16) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_3),X_16))),bind(Y0,$fot(divide(inverse(X_3),inverse(X_16))))]]) ).
cnf(refute_0_361,plain,
divide(inverse(X_3),inverse(X_16)) = multiply(inverse(X_3),X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_16),divide(inverse(X_3),inverse(X_16))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
( divide(inverse(X_3),inverse(X_16)) != multiply(inverse(X_3),X_16)
| divide(inverse(divide(inverse(X_3),inverse(X_16))),X_3) != inverse(X_16)
| divide(inverse(multiply(inverse(X_3),X_16)),X_3) = inverse(X_16) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(X_3),inverse(X_16))),X_3),inverse(X_16)) ),[0,0,0],$fot(multiply(inverse(X_3),X_16))]]) ).
cnf(refute_0_363,plain,
( divide(inverse(divide(inverse(X_3),inverse(X_16))),X_3) != inverse(X_16)
| divide(inverse(multiply(inverse(X_3),X_16)),X_3) = inverse(X_16) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_3),inverse(X_16)),multiply(inverse(X_3),X_16)) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
divide(inverse(multiply(inverse(X_3),X_16)),X_3) = inverse(X_16),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(X_3),inverse(X_16))),X_3),inverse(X_16)) )],[refute_0_358,refute_0_363]) ).
cnf(refute_0_365,plain,
divide(inverse(multiply(inverse(inverse(Y)),X_24)),inverse(Y)) = inverse(X_24),
inference(subst,[],[refute_0_364:[bind(X_16,$fot(X_24)),bind(X_3,$fot(inverse(Y)))]]) ).
cnf(refute_0_366,plain,
( multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y) != divide(inverse(multiply(inverse(inverse(Y)),X_24)),inverse(Y))
| divide(inverse(multiply(inverse(inverse(Y)),X_24)),inverse(Y)) != inverse(X_24)
| multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y) = inverse(X_24) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y),inverse(X_24)) ),[0],$fot(divide(inverse(multiply(inverse(inverse(Y)),X_24)),inverse(Y)))]]) ).
cnf(refute_0_367,plain,
( multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y) != divide(inverse(multiply(inverse(inverse(Y)),X_24)),inverse(Y))
| multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y) = inverse(X_24) ),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(inverse(inverse(Y)),X_24)),inverse(Y)),inverse(X_24)) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y) = inverse(X_24),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y),divide(inverse(multiply(inverse(inverse(Y)),X_24)),inverse(Y))) )],[refute_0_357,refute_0_367]) ).
cnf(refute_0_369,plain,
inverse(inverse(Y)) = Y,
inference(subst,[],[refute_0_169:[bind(X_4,$fot(Y))]]) ).
cnf(refute_0_370,plain,
multiply(inverse(inverse(Y)),X_24) = multiply(inverse(inverse(Y)),X_24),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(Y)),X_24))]]) ).
cnf(refute_0_371,plain,
( multiply(inverse(inverse(Y)),X_24) != multiply(inverse(inverse(Y)),X_24)
| inverse(inverse(Y)) != Y
| multiply(inverse(inverse(Y)),X_24) = multiply(Y,X_24) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(Y)),X_24),multiply(inverse(inverse(Y)),X_24)) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_372,plain,
( inverse(inverse(Y)) != Y
| multiply(inverse(inverse(Y)),X_24) = multiply(Y,X_24) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),X_24),multiply(inverse(inverse(Y)),X_24)) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
multiply(inverse(inverse(Y)),X_24) = multiply(Y,X_24),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_369,refute_0_372]) ).
cnf(refute_0_374,plain,
inverse(multiply(inverse(inverse(Y)),X_24)) = inverse(multiply(inverse(inverse(Y)),X_24)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(inverse(Y)),X_24)))]]) ).
cnf(refute_0_375,plain,
( multiply(inverse(inverse(Y)),X_24) != multiply(Y,X_24)
| inverse(multiply(inverse(inverse(Y)),X_24)) != inverse(multiply(inverse(inverse(Y)),X_24))
| inverse(multiply(inverse(inverse(Y)),X_24)) = inverse(multiply(Y,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(Y)),X_24)),inverse(multiply(inverse(inverse(Y)),X_24))) ),[1,0],$fot(multiply(Y,X_24))]]) ).
cnf(refute_0_376,plain,
( multiply(inverse(inverse(Y)),X_24) != multiply(Y,X_24)
| inverse(multiply(inverse(inverse(Y)),X_24)) = inverse(multiply(Y,X_24)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(Y)),X_24)),inverse(multiply(inverse(inverse(Y)),X_24))) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
inverse(multiply(inverse(inverse(Y)),X_24)) = inverse(multiply(Y,X_24)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),X_24),multiply(Y,X_24)) )],[refute_0_373,refute_0_376]) ).
cnf(refute_0_378,plain,
multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y) = multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y))]]) ).
cnf(refute_0_379,plain,
( multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y) != multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y)
| inverse(multiply(inverse(inverse(Y)),X_24)) != inverse(multiply(Y,X_24))
| multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y) = multiply(inverse(multiply(Y,X_24)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y),multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y)) ),[1,0],$fot(inverse(multiply(Y,X_24)))]]) ).
cnf(refute_0_380,plain,
( inverse(multiply(inverse(inverse(Y)),X_24)) != inverse(multiply(Y,X_24))
| multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y) = multiply(inverse(multiply(Y,X_24)),Y) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y),multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y)) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y) = multiply(inverse(multiply(Y,X_24)),Y),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(Y)),X_24)),inverse(multiply(Y,X_24))) )],[refute_0_377,refute_0_380]) ).
cnf(refute_0_382,plain,
( multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y) != multiply(inverse(multiply(Y,X_24)),Y)
| multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y) != inverse(X_24)
| multiply(inverse(multiply(Y,X_24)),Y) = inverse(X_24) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y),inverse(X_24)) ),[0],$fot(multiply(inverse(multiply(Y,X_24)),Y))]]) ).
cnf(refute_0_383,plain,
( multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y) != inverse(X_24)
| multiply(inverse(multiply(Y,X_24)),Y) = inverse(X_24) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y),multiply(inverse(multiply(Y,X_24)),Y)) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
multiply(inverse(multiply(Y,X_24)),Y) = inverse(X_24),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(inverse(Y)),X_24)),Y),inverse(X_24)) )],[refute_0_368,refute_0_383]) ).
cnf(refute_0_385,plain,
multiply(inverse(multiply(inverse(X_28),multiply(X_29,X_28))),inverse(X_28)) = inverse(multiply(X_29,X_28)),
inference(subst,[],[refute_0_384:[bind(Y,$fot(inverse(X_28))),bind(X_24,$fot(multiply(X_29,X_28)))]]) ).
cnf(refute_0_386,plain,
divide(multiply(inverse(multiply(X_4,X_27)),X_4),inverse(multiply(X_4,X_27))) = X_4,
inference(subst,[],[refute_0_151:[bind(X_3,$fot(inverse(multiply(X_4,X_27))))]]) ).
cnf(refute_0_387,plain,
multiply(inverse(multiply(X_4,X_27)),X_4) = inverse(X_27),
inference(subst,[],[refute_0_384:[bind(Y,$fot(X_4)),bind(X_24,$fot(X_27))]]) ).
cnf(refute_0_388,plain,
( multiply(inverse(multiply(X_4,X_27)),X_4) != inverse(X_27)
| divide(multiply(inverse(multiply(X_4,X_27)),X_4),inverse(multiply(X_4,X_27))) != X_4
| divide(inverse(X_27),inverse(multiply(X_4,X_27))) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(multiply(X_4,X_27)),X_4),inverse(multiply(X_4,X_27))),X_4) ),[0,0],$fot(inverse(X_27))]]) ).
cnf(refute_0_389,plain,
( divide(multiply(inverse(multiply(X_4,X_27)),X_4),inverse(multiply(X_4,X_27))) != X_4
| divide(inverse(X_27),inverse(multiply(X_4,X_27))) = X_4 ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_4,X_27)),X_4),inverse(X_27)) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
divide(inverse(X_27),inverse(multiply(X_4,X_27))) = X_4,
inference(resolve,[$cnf( $equal(divide(multiply(inverse(multiply(X_4,X_27)),X_4),inverse(multiply(X_4,X_27))),X_4) )],[refute_0_386,refute_0_389]) ).
cnf(refute_0_391,plain,
divide(inverse(X_27),inverse(multiply(X_4,X_27))) = multiply(inverse(X_27),multiply(X_4,X_27)),
inference(subst,[],[refute_0_133:[bind(X,$fot(inverse(X_27))),bind(Y,$fot(multiply(X_4,X_27)))]]) ).
cnf(refute_0_392,plain,
( divide(inverse(X_27),inverse(multiply(X_4,X_27))) != X_4
| divide(inverse(X_27),inverse(multiply(X_4,X_27))) != multiply(inverse(X_27),multiply(X_4,X_27))
| multiply(inverse(X_27),multiply(X_4,X_27)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_27),inverse(multiply(X_4,X_27))),X_4) ),[0],$fot(multiply(inverse(X_27),multiply(X_4,X_27)))]]) ).
cnf(refute_0_393,plain,
( divide(inverse(X_27),inverse(multiply(X_4,X_27))) != X_4
| multiply(inverse(X_27),multiply(X_4,X_27)) = X_4 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_27),inverse(multiply(X_4,X_27))),multiply(inverse(X_27),multiply(X_4,X_27))) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
multiply(inverse(X_27),multiply(X_4,X_27)) = X_4,
inference(resolve,[$cnf( $equal(divide(inverse(X_27),inverse(multiply(X_4,X_27))),X_4) )],[refute_0_390,refute_0_393]) ).
cnf(refute_0_395,plain,
multiply(inverse(X_28),multiply(X_29,X_28)) = X_29,
inference(subst,[],[refute_0_394:[bind(X_27,$fot(X_28)),bind(X_4,$fot(X_29))]]) ).
cnf(refute_0_396,plain,
( multiply(inverse(X_28),multiply(X_29,X_28)) != X_29
| multiply(inverse(multiply(inverse(X_28),multiply(X_29,X_28))),inverse(X_28)) != inverse(multiply(X_29,X_28))
| multiply(inverse(X_29),inverse(X_28)) = inverse(multiply(X_29,X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_28),multiply(X_29,X_28))),inverse(X_28)),inverse(multiply(X_29,X_28))) ),[0,0,0],$fot(X_29)]]) ).
cnf(refute_0_397,plain,
( multiply(inverse(multiply(inverse(X_28),multiply(X_29,X_28))),inverse(X_28)) != inverse(multiply(X_29,X_28))
| multiply(inverse(X_29),inverse(X_28)) = inverse(multiply(X_29,X_28)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_28),multiply(X_29,X_28)),X_29) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
multiply(inverse(X_29),inverse(X_28)) = inverse(multiply(X_29,X_28)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_28),multiply(X_29,X_28))),inverse(X_28)),inverse(multiply(X_29,X_28))) )],[refute_0_385,refute_0_397]) ).
cnf(refute_0_399,plain,
multiply(inverse(X_29),inverse(X_28)) = divide(inverse(X_29),X_28),
inference(subst,[],[refute_0_223:[bind(X_10,$fot(X_28)),bind(X_15,$fot(inverse(X_29)))]]) ).
cnf(refute_0_400,plain,
( multiply(inverse(X_29),inverse(X_28)) != divide(inverse(X_29),X_28)
| multiply(inverse(X_29),inverse(X_28)) != inverse(multiply(X_29,X_28))
| divide(inverse(X_29),X_28) = inverse(multiply(X_29,X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_29),inverse(X_28)),inverse(multiply(X_29,X_28))) ),[0],$fot(divide(inverse(X_29),X_28))]]) ).
cnf(refute_0_401,plain,
( multiply(inverse(X_29),inverse(X_28)) != inverse(multiply(X_29,X_28))
| divide(inverse(X_29),X_28) = inverse(multiply(X_29,X_28)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_29),inverse(X_28)),divide(inverse(X_29),X_28)) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
divide(inverse(X_29),X_28) = inverse(multiply(X_29,X_28)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_29),inverse(X_28)),inverse(multiply(X_29,X_28))) )],[refute_0_398,refute_0_401]) ).
cnf(refute_0_403,plain,
divide(inverse(Y),X_43) = inverse(multiply(Y,X_43)),
inference(subst,[],[refute_0_402:[bind(X_28,$fot(X_43)),bind(X_29,$fot(Y))]]) ).
cnf(refute_0_404,plain,
multiply(Y,divide(inverse(Y),X_43)) = multiply(Y,divide(inverse(Y),X_43)),
introduced(tautology,[refl,[$fot(multiply(Y,divide(inverse(Y),X_43)))]]) ).
cnf(refute_0_405,plain,
( multiply(Y,divide(inverse(Y),X_43)) != multiply(Y,divide(inverse(Y),X_43))
| divide(inverse(Y),X_43) != inverse(multiply(Y,X_43))
| multiply(Y,divide(inverse(Y),X_43)) = multiply(Y,inverse(multiply(Y,X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,divide(inverse(Y),X_43)),multiply(Y,divide(inverse(Y),X_43))) ),[1,1],$fot(inverse(multiply(Y,X_43)))]]) ).
cnf(refute_0_406,plain,
( divide(inverse(Y),X_43) != inverse(multiply(Y,X_43))
| multiply(Y,divide(inverse(Y),X_43)) = multiply(Y,inverse(multiply(Y,X_43))) ),
inference(resolve,[$cnf( $equal(multiply(Y,divide(inverse(Y),X_43)),multiply(Y,divide(inverse(Y),X_43))) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
multiply(Y,divide(inverse(Y),X_43)) = multiply(Y,inverse(multiply(Y,X_43))),
inference(resolve,[$cnf( $equal(divide(inverse(Y),X_43),inverse(multiply(Y,X_43))) )],[refute_0_403,refute_0_406]) ).
cnf(refute_0_408,plain,
( multiply(Y,divide(inverse(Y),X_43)) != multiply(Y,inverse(multiply(Y,X_43)))
| multiply(Y,inverse(multiply(Y,X_43))) != divide(Y,multiply(Y,X_43))
| multiply(Y,divide(inverse(Y),X_43)) = divide(Y,multiply(Y,X_43)) ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(multiply(Y,divide(inverse(Y),X_43)))),bind(Y0,$fot(multiply(Y,inverse(multiply(Y,X_43))))),bind(Z0,$fot(divide(Y,multiply(Y,X_43))))]]) ).
cnf(refute_0_409,plain,
( multiply(Y,inverse(multiply(Y,X_43))) != divide(Y,multiply(Y,X_43))
| multiply(Y,divide(inverse(Y),X_43)) = divide(Y,multiply(Y,X_43)) ),
inference(resolve,[$cnf( $equal(multiply(Y,divide(inverse(Y),X_43)),multiply(Y,inverse(multiply(Y,X_43)))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
multiply(Y,divide(inverse(Y),X_43)) = divide(Y,multiply(Y,X_43)),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(multiply(Y,X_43))),divide(Y,multiply(Y,X_43))) )],[refute_0_356,refute_0_409]) ).
cnf(refute_0_411,plain,
multiply(divide(inverse(Y),X_43),Y) = multiply(Y,divide(inverse(Y),X_43)),
inference(subst,[],[refute_0_281:[bind(X_38,$fot(divide(inverse(Y),X_43))),bind(X_4,$fot(Y))]]) ).
cnf(refute_0_412,plain,
( multiply(Y,divide(inverse(Y),X_43)) != divide(Y,multiply(Y,X_43))
| multiply(divide(inverse(Y),X_43),Y) != multiply(Y,divide(inverse(Y),X_43))
| multiply(divide(inverse(Y),X_43),Y) = divide(Y,multiply(Y,X_43)) ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(multiply(divide(inverse(Y),X_43),Y))),bind(Y0,$fot(multiply(Y,divide(inverse(Y),X_43)))),bind(Z0,$fot(divide(Y,multiply(Y,X_43))))]]) ).
cnf(refute_0_413,plain,
( multiply(Y,divide(inverse(Y),X_43)) != divide(Y,multiply(Y,X_43))
| multiply(divide(inverse(Y),X_43),Y) = divide(Y,multiply(Y,X_43)) ),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(Y),X_43),Y),multiply(Y,divide(inverse(Y),X_43))) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
multiply(divide(inverse(Y),X_43),Y) = divide(Y,multiply(Y,X_43)),
inference(resolve,[$cnf( $equal(multiply(Y,divide(inverse(Y),X_43)),divide(Y,multiply(Y,X_43))) )],[refute_0_410,refute_0_413]) ).
cnf(refute_0_415,plain,
( multiply(divide(inverse(Y),X_43),Y) != divide(Y,multiply(Y,X_43))
| multiply(divide(inverse(Y),X_43),Y) != inverse(X_43)
| divide(Y,multiply(Y,X_43)) = inverse(X_43) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(Y),X_43),Y),inverse(X_43)) ),[0],$fot(divide(Y,multiply(Y,X_43)))]]) ).
cnf(refute_0_416,plain,
( multiply(divide(inverse(Y),X_43),Y) != inverse(X_43)
| divide(Y,multiply(Y,X_43)) = inverse(X_43) ),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(Y),X_43),Y),divide(Y,multiply(Y,X_43))) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
divide(Y,multiply(Y,X_43)) = inverse(X_43),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(Y),X_43),Y),inverse(X_43)) )],[refute_0_355,refute_0_416]) ).
cnf(refute_0_418,plain,
divide(X_44,multiply(X_44,divide(X_29,X_44))) = inverse(divide(X_29,X_44)),
inference(subst,[],[refute_0_417:[bind(Y,$fot(X_44)),bind(X_43,$fot(divide(X_29,X_44)))]]) ).
cnf(refute_0_419,plain,
multiply(inverse(inverse(X_4)),multiply(X_29,inverse(X_4))) = X_29,
inference(subst,[],[refute_0_394:[bind(X_27,$fot(inverse(X_4))),bind(X_4,$fot(X_29))]]) ).
cnf(refute_0_420,plain,
( multiply(inverse(inverse(X_4)),multiply(X_29,inverse(X_4))) != X_29
| inverse(inverse(X_4)) != X_4
| multiply(X_4,multiply(X_29,inverse(X_4))) = X_29 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_4)),multiply(X_29,inverse(X_4))),X_29) ),[0,0],$fot(X_4)]]) ).
cnf(refute_0_421,plain,
( multiply(inverse(inverse(X_4)),multiply(X_29,inverse(X_4))) != X_29
| multiply(X_4,multiply(X_29,inverse(X_4))) = X_29 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_4)),X_4) )],[refute_0_169,refute_0_420]) ).
cnf(refute_0_422,plain,
multiply(X_4,multiply(X_29,inverse(X_4))) = X_29,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_4)),multiply(X_29,inverse(X_4))),X_29) )],[refute_0_419,refute_0_421]) ).
cnf(refute_0_423,plain,
multiply(X_29,inverse(X_4)) = divide(X_29,X_4),
inference(subst,[],[refute_0_223:[bind(X_10,$fot(X_4)),bind(X_15,$fot(X_29))]]) ).
cnf(refute_0_424,plain,
multiply(X_4,multiply(X_29,inverse(X_4))) = multiply(X_4,multiply(X_29,inverse(X_4))),
introduced(tautology,[refl,[$fot(multiply(X_4,multiply(X_29,inverse(X_4))))]]) ).
cnf(refute_0_425,plain,
( multiply(X_29,inverse(X_4)) != divide(X_29,X_4)
| multiply(X_4,multiply(X_29,inverse(X_4))) != multiply(X_4,multiply(X_29,inverse(X_4)))
| multiply(X_4,multiply(X_29,inverse(X_4))) = multiply(X_4,divide(X_29,X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_4,multiply(X_29,inverse(X_4))),multiply(X_4,multiply(X_29,inverse(X_4)))) ),[1,1],$fot(divide(X_29,X_4))]]) ).
cnf(refute_0_426,plain,
( multiply(X_29,inverse(X_4)) != divide(X_29,X_4)
| multiply(X_4,multiply(X_29,inverse(X_4))) = multiply(X_4,divide(X_29,X_4)) ),
inference(resolve,[$cnf( $equal(multiply(X_4,multiply(X_29,inverse(X_4))),multiply(X_4,multiply(X_29,inverse(X_4)))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
multiply(X_4,multiply(X_29,inverse(X_4))) = multiply(X_4,divide(X_29,X_4)),
inference(resolve,[$cnf( $equal(multiply(X_29,inverse(X_4)),divide(X_29,X_4)) )],[refute_0_423,refute_0_426]) ).
cnf(refute_0_428,plain,
( multiply(X_4,multiply(X_29,inverse(X_4))) != X_29
| multiply(X_4,multiply(X_29,inverse(X_4))) != multiply(X_4,divide(X_29,X_4))
| multiply(X_4,divide(X_29,X_4)) = X_29 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_4,multiply(X_29,inverse(X_4))),X_29) ),[0],$fot(multiply(X_4,divide(X_29,X_4)))]]) ).
cnf(refute_0_429,plain,
( multiply(X_4,multiply(X_29,inverse(X_4))) != X_29
| multiply(X_4,divide(X_29,X_4)) = X_29 ),
inference(resolve,[$cnf( $equal(multiply(X_4,multiply(X_29,inverse(X_4))),multiply(X_4,divide(X_29,X_4))) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
multiply(X_4,divide(X_29,X_4)) = X_29,
inference(resolve,[$cnf( $equal(multiply(X_4,multiply(X_29,inverse(X_4))),X_29) )],[refute_0_422,refute_0_429]) ).
cnf(refute_0_431,plain,
multiply(X_44,divide(X_29,X_44)) = X_29,
inference(subst,[],[refute_0_430:[bind(X_4,$fot(X_44))]]) ).
cnf(refute_0_432,plain,
( multiply(X_44,divide(X_29,X_44)) != X_29
| divide(X_44,multiply(X_44,divide(X_29,X_44))) != inverse(divide(X_29,X_44))
| divide(X_44,X_29) = inverse(divide(X_29,X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_44,multiply(X_44,divide(X_29,X_44))),inverse(divide(X_29,X_44))) ),[0,1],$fot(X_29)]]) ).
cnf(refute_0_433,plain,
( divide(X_44,multiply(X_44,divide(X_29,X_44))) != inverse(divide(X_29,X_44))
| divide(X_44,X_29) = inverse(divide(X_29,X_44)) ),
inference(resolve,[$cnf( $equal(multiply(X_44,divide(X_29,X_44)),X_29) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
divide(X_44,X_29) = inverse(divide(X_29,X_44)),
inference(resolve,[$cnf( $equal(divide(X_44,multiply(X_44,divide(X_29,X_44))),inverse(divide(X_29,X_44))) )],[refute_0_418,refute_0_433]) ).
cnf(refute_0_435,plain,
divide(X_52,X_51) = inverse(divide(X_51,X_52)),
inference(subst,[],[refute_0_434:[bind(X_29,$fot(X_51)),bind(X_44,$fot(X_52))]]) ).
cnf(refute_0_436,plain,
( divide(X_52,X_51) != inverse(divide(X_51,X_52))
| inverse(divide(X_51,X_52)) = divide(X_52,X_51) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(divide(X_52,X_51))),bind(Y0,$fot(inverse(divide(X_51,X_52))))]]) ).
cnf(refute_0_437,plain,
inverse(divide(X_51,X_52)) = divide(X_52,X_51),
inference(resolve,[$cnf( $equal(divide(X_52,X_51),inverse(divide(X_51,X_52))) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
( multiply(X_15,inverse(divide(X_51,X_52))) != divide(X_15,divide(X_51,X_52))
| inverse(divide(X_51,X_52)) != divide(X_52,X_51)
| multiply(X_15,divide(X_52,X_51)) = divide(X_15,divide(X_51,X_52)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,inverse(divide(X_51,X_52))),divide(X_15,divide(X_51,X_52))) ),[0,1],$fot(divide(X_52,X_51))]]) ).
cnf(refute_0_439,plain,
( multiply(X_15,inverse(divide(X_51,X_52))) != divide(X_15,divide(X_51,X_52))
| multiply(X_15,divide(X_52,X_51)) = divide(X_15,divide(X_51,X_52)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_51,X_52)),divide(X_52,X_51)) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
multiply(X_15,divide(X_52,X_51)) = divide(X_15,divide(X_51,X_52)),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(divide(X_51,X_52))),divide(X_15,divide(X_51,X_52))) )],[refute_0_345,refute_0_439]) ).
cnf(refute_0_441,plain,
multiply(X_88,divide(X_90,inverse(X_29))) = divide(X_88,divide(inverse(X_29),X_90)),
inference(subst,[],[refute_0_440:[bind(X_15,$fot(X_88)),bind(X_51,$fot(inverse(X_29))),bind(X_52,$fot(X_90))]]) ).
cnf(refute_0_442,plain,
divide(inverse(X_29),X_90) = inverse(multiply(X_29,X_90)),
inference(subst,[],[refute_0_402:[bind(X_28,$fot(X_90))]]) ).
cnf(refute_0_443,plain,
( multiply(X_88,divide(X_90,inverse(X_29))) != divide(X_88,divide(inverse(X_29),X_90))
| divide(inverse(X_29),X_90) != inverse(multiply(X_29,X_90))
| multiply(X_88,divide(X_90,inverse(X_29))) = divide(X_88,inverse(multiply(X_29,X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_88,divide(X_90,inverse(X_29))),divide(X_88,divide(inverse(X_29),X_90))) ),[1,1],$fot(inverse(multiply(X_29,X_90)))]]) ).
cnf(refute_0_444,plain,
( multiply(X_88,divide(X_90,inverse(X_29))) != divide(X_88,divide(inverse(X_29),X_90))
| multiply(X_88,divide(X_90,inverse(X_29))) = divide(X_88,inverse(multiply(X_29,X_90))) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_29),X_90),inverse(multiply(X_29,X_90))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
multiply(X_88,divide(X_90,inverse(X_29))) = divide(X_88,inverse(multiply(X_29,X_90))),
inference(resolve,[$cnf( $equal(multiply(X_88,divide(X_90,inverse(X_29))),divide(X_88,divide(inverse(X_29),X_90))) )],[refute_0_441,refute_0_444]) ).
cnf(refute_0_446,plain,
divide(X_90,inverse(X_29)) = multiply(X_90,X_29),
inference(subst,[],[refute_0_133:[bind(X,$fot(X_90)),bind(Y,$fot(X_29))]]) ).
cnf(refute_0_447,plain,
multiply(X_88,divide(X_90,inverse(X_29))) = multiply(X_88,divide(X_90,inverse(X_29))),
introduced(tautology,[refl,[$fot(multiply(X_88,divide(X_90,inverse(X_29))))]]) ).
cnf(refute_0_448,plain,
( multiply(X_88,divide(X_90,inverse(X_29))) != multiply(X_88,divide(X_90,inverse(X_29)))
| divide(X_90,inverse(X_29)) != multiply(X_90,X_29)
| multiply(X_88,divide(X_90,inverse(X_29))) = multiply(X_88,multiply(X_90,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_88,divide(X_90,inverse(X_29))),multiply(X_88,divide(X_90,inverse(X_29)))) ),[1,1],$fot(multiply(X_90,X_29))]]) ).
cnf(refute_0_449,plain,
( divide(X_90,inverse(X_29)) != multiply(X_90,X_29)
| multiply(X_88,divide(X_90,inverse(X_29))) = multiply(X_88,multiply(X_90,X_29)) ),
inference(resolve,[$cnf( $equal(multiply(X_88,divide(X_90,inverse(X_29))),multiply(X_88,divide(X_90,inverse(X_29)))) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
multiply(X_88,divide(X_90,inverse(X_29))) = multiply(X_88,multiply(X_90,X_29)),
inference(resolve,[$cnf( $equal(divide(X_90,inverse(X_29)),multiply(X_90,X_29)) )],[refute_0_446,refute_0_449]) ).
cnf(refute_0_451,plain,
( multiply(X_88,divide(X_90,inverse(X_29))) != multiply(X_88,multiply(X_90,X_29))
| multiply(X_88,divide(X_90,inverse(X_29))) != divide(X_88,inverse(multiply(X_29,X_90)))
| multiply(X_88,multiply(X_90,X_29)) = divide(X_88,inverse(multiply(X_29,X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_88,divide(X_90,inverse(X_29))),divide(X_88,inverse(multiply(X_29,X_90)))) ),[0],$fot(multiply(X_88,multiply(X_90,X_29)))]]) ).
cnf(refute_0_452,plain,
( multiply(X_88,divide(X_90,inverse(X_29))) != divide(X_88,inverse(multiply(X_29,X_90)))
| multiply(X_88,multiply(X_90,X_29)) = divide(X_88,inverse(multiply(X_29,X_90))) ),
inference(resolve,[$cnf( $equal(multiply(X_88,divide(X_90,inverse(X_29))),multiply(X_88,multiply(X_90,X_29))) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
divide(X_88,inverse(multiply(X_29,X_90))) = multiply(X_88,multiply(X_29,X_90)),
inference(subst,[],[refute_0_133:[bind(X,$fot(X_88)),bind(Y,$fot(multiply(X_29,X_90)))]]) ).
cnf(refute_0_454,plain,
( multiply(X_88,multiply(X_90,X_29)) != divide(X_88,inverse(multiply(X_29,X_90)))
| divide(X_88,inverse(multiply(X_29,X_90))) != multiply(X_88,multiply(X_29,X_90))
| multiply(X_88,multiply(X_90,X_29)) = multiply(X_88,multiply(X_29,X_90)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_88,multiply(X_90,X_29)),multiply(X_88,multiply(X_29,X_90))) ),[0],$fot(divide(X_88,inverse(multiply(X_29,X_90))))]]) ).
cnf(refute_0_455,plain,
( multiply(X_88,multiply(X_90,X_29)) != divide(X_88,inverse(multiply(X_29,X_90)))
| multiply(X_88,multiply(X_90,X_29)) = multiply(X_88,multiply(X_29,X_90)) ),
inference(resolve,[$cnf( $equal(divide(X_88,inverse(multiply(X_29,X_90))),multiply(X_88,multiply(X_29,X_90))) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
( multiply(X_88,divide(X_90,inverse(X_29))) != divide(X_88,inverse(multiply(X_29,X_90)))
| multiply(X_88,multiply(X_90,X_29)) = multiply(X_88,multiply(X_29,X_90)) ),
inference(resolve,[$cnf( $equal(multiply(X_88,multiply(X_90,X_29)),divide(X_88,inverse(multiply(X_29,X_90)))) )],[refute_0_452,refute_0_455]) ).
cnf(refute_0_457,plain,
multiply(X_88,multiply(X_90,X_29)) = multiply(X_88,multiply(X_29,X_90)),
inference(resolve,[$cnf( $equal(multiply(X_88,divide(X_90,inverse(X_29))),divide(X_88,inverse(multiply(X_29,X_90)))) )],[refute_0_445,refute_0_456]) ).
cnf(refute_0_458,plain,
( multiply(X_88,multiply(X_90,X_29)) != multiply(X_88,multiply(X_29,X_90))
| multiply(X_88,multiply(X_29,X_90)) = multiply(X_88,multiply(X_90,X_29)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_88,multiply(X_90,X_29)))),bind(Y0,$fot(multiply(X_88,multiply(X_29,X_90))))]]) ).
cnf(refute_0_459,plain,
multiply(X_88,multiply(X_29,X_90)) = multiply(X_88,multiply(X_90,X_29)),
inference(resolve,[$cnf( $equal(multiply(X_88,multiply(X_90,X_29)),multiply(X_88,multiply(X_29,X_90))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
multiply(a2,multiply(inverse(b2),b2)) = multiply(a2,multiply(b2,inverse(b2))),
inference(subst,[],[refute_0_459:[bind(X_29,$fot(inverse(b2))),bind(X_88,$fot(a2)),bind(X_90,$fot(b2))]]) ).
cnf(refute_0_461,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(inverse(b2),b2)),
inference(subst,[],[refute_0_308:[bind(X_48,$fot(multiply(inverse(b2),b2))),bind(X_50,$fot(a2))]]) ).
cnf(refute_0_462,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(a2,multiply(inverse(b2),b2))
| multiply(a2,multiply(inverse(b2),b2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y0,$fot(multiply(a2,multiply(inverse(b2),b2)))),bind(Z0,$fot(multiply(a2,multiply(b2,inverse(b2)))))]]) ).
cnf(refute_0_463,plain,
( multiply(a2,multiply(inverse(b2),b2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(a2,multiply(inverse(b2),b2))) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(inverse(b2),b2)),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_460,refute_0_463]) ).
cnf(refute_0_465,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(a2,multiply(b2,inverse(b2))) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y0,$fot(multiply(a2,multiply(b2,inverse(b2))))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_466,plain,
( multiply(a2,multiply(b2,inverse(b2))) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
multiply(multiply(inverse(b2),b2),a2) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),a2) )],[refute_0_344,refute_0_466]) ).
cnf(refute_0_468,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_469,plain,
( a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4)
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_469,refute_0_331]) ).
cnf(refute_0_471,plain,
divide(multiply(X_3,divide(X_48,divide(multiply(X_48,X_3),X_49))),X_3) = divide(X_48,divide(multiply(X_48,X_3),X_49)),
inference(subst,[],[refute_0_151:[bind(X_4,$fot(divide(X_48,divide(multiply(X_48,X_3),X_49))))]]) ).
cnf(refute_0_472,plain,
multiply(X_3,divide(X_48,divide(multiply(X_48,X_3),X_49))) = X_49,
inference(subst,[],[refute_0_285:[bind(X,$fot(X_48)),bind(Z,$fot(X_49)),bind(X_16,$fot(X_3))]]) ).
cnf(refute_0_473,plain,
( multiply(X_3,divide(X_48,divide(multiply(X_48,X_3),X_49))) != X_49
| divide(multiply(X_3,divide(X_48,divide(multiply(X_48,X_3),X_49))),X_3) != divide(X_48,divide(multiply(X_48,X_3),X_49))
| divide(X_49,X_3) = divide(X_48,divide(multiply(X_48,X_3),X_49)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_3,divide(X_48,divide(multiply(X_48,X_3),X_49))),X_3),divide(X_48,divide(multiply(X_48,X_3),X_49))) ),[0,0],$fot(X_49)]]) ).
cnf(refute_0_474,plain,
( divide(multiply(X_3,divide(X_48,divide(multiply(X_48,X_3),X_49))),X_3) != divide(X_48,divide(multiply(X_48,X_3),X_49))
| divide(X_49,X_3) = divide(X_48,divide(multiply(X_48,X_3),X_49)) ),
inference(resolve,[$cnf( $equal(multiply(X_3,divide(X_48,divide(multiply(X_48,X_3),X_49))),X_49) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
divide(X_49,X_3) = divide(X_48,divide(multiply(X_48,X_3),X_49)),
inference(resolve,[$cnf( $equal(divide(multiply(X_3,divide(X_48,divide(multiply(X_48,X_3),X_49))),X_3),divide(X_48,divide(multiply(X_48,X_3),X_49))) )],[refute_0_471,refute_0_474]) ).
cnf(refute_0_476,plain,
( multiply(X_15,divide(X_52,X_51)) != divide(X_15,divide(X_51,X_52))
| divide(X_15,divide(X_51,X_52)) = multiply(X_15,divide(X_52,X_51)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_15,divide(X_52,X_51)))),bind(Y0,$fot(divide(X_15,divide(X_51,X_52))))]]) ).
cnf(refute_0_477,plain,
divide(X_15,divide(X_51,X_52)) = multiply(X_15,divide(X_52,X_51)),
inference(resolve,[$cnf( $equal(multiply(X_15,divide(X_52,X_51)),divide(X_15,divide(X_51,X_52))) )],[refute_0_440,refute_0_476]) ).
cnf(refute_0_478,plain,
divide(X_48,divide(multiply(X_48,X_3),X_49)) = multiply(X_48,divide(X_49,multiply(X_48,X_3))),
inference(subst,[],[refute_0_477:[bind(X_15,$fot(X_48)),bind(X_51,$fot(multiply(X_48,X_3))),bind(X_52,$fot(X_49))]]) ).
cnf(refute_0_479,plain,
( divide(X_48,divide(multiply(X_48,X_3),X_49)) != multiply(X_48,divide(X_49,multiply(X_48,X_3)))
| divide(X_49,X_3) != divide(X_48,divide(multiply(X_48,X_3),X_49))
| divide(X_49,X_3) = multiply(X_48,divide(X_49,multiply(X_48,X_3))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_49,X_3),divide(X_48,divide(multiply(X_48,X_3),X_49))) ),[1],$fot(multiply(X_48,divide(X_49,multiply(X_48,X_3))))]]) ).
cnf(refute_0_480,plain,
( divide(X_49,X_3) != divide(X_48,divide(multiply(X_48,X_3),X_49))
| divide(X_49,X_3) = multiply(X_48,divide(X_49,multiply(X_48,X_3))) ),
inference(resolve,[$cnf( $equal(divide(X_48,divide(multiply(X_48,X_3),X_49)),multiply(X_48,divide(X_49,multiply(X_48,X_3)))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
divide(X_49,X_3) = multiply(X_48,divide(X_49,multiply(X_48,X_3))),
inference(resolve,[$cnf( $equal(divide(X_49,X_3),divide(X_48,divide(multiply(X_48,X_3),X_49))) )],[refute_0_475,refute_0_480]) ).
cnf(refute_0_482,plain,
divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))) = multiply(X_48,divide(X_49,multiply(X_48,divide(X_95,multiply(X_94,multiply(X_48,X_95)))))),
inference(subst,[],[refute_0_481:[bind(X_3,$fot(divide(X_95,multiply(X_94,multiply(X_48,X_95)))))]]) ).
cnf(refute_0_483,plain,
inverse(inverse(multiply(X_62,divide(X_61,multiply(X_60,multiply(X_61,X_62)))))) = multiply(X_62,divide(X_61,multiply(X_60,multiply(X_61,X_62)))),
inference(subst,[],[refute_0_169:[bind(X_4,$fot(multiply(X_62,divide(X_61,multiply(X_60,multiply(X_61,X_62))))))]]) ).
cnf(refute_0_484,plain,
divide(divide(divide(X_4,X_43),X_4),divide(divide(divide(X_4,X_43),Z),X_4)) = Z,
inference(subst,[],[refute_0_255:[bind(X,$fot(divide(X_4,X_43)))]]) ).
cnf(refute_0_485,plain,
divide(divide(X_4,X_43),X_4) = inverse(X_43),
inference(subst,[],[refute_0_351:[bind(X_3,$fot(X_4)),bind(X_32,$fot(X_43))]]) ).
cnf(refute_0_486,plain,
( divide(divide(X_4,X_43),X_4) != inverse(X_43)
| divide(divide(divide(X_4,X_43),X_4),divide(divide(divide(X_4,X_43),Z),X_4)) != Z
| divide(inverse(X_43),divide(divide(divide(X_4,X_43),Z),X_4)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_4,X_43),X_4),divide(divide(divide(X_4,X_43),Z),X_4)),Z) ),[0,0],$fot(inverse(X_43))]]) ).
cnf(refute_0_487,plain,
( divide(divide(divide(X_4,X_43),X_4),divide(divide(divide(X_4,X_43),Z),X_4)) != Z
| divide(inverse(X_43),divide(divide(divide(X_4,X_43),Z),X_4)) = Z ),
inference(resolve,[$cnf( $equal(divide(divide(X_4,X_43),X_4),inverse(X_43)) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
divide(inverse(X_43),divide(divide(divide(X_4,X_43),Z),X_4)) = Z,
inference(resolve,[$cnf( $equal(divide(divide(divide(X_4,X_43),X_4),divide(divide(divide(X_4,X_43),Z),X_4)),Z) )],[refute_0_484,refute_0_487]) ).
cnf(refute_0_489,plain,
divide(inverse(X_43),divide(divide(divide(X_4,X_43),Z),X_4)) = inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))),
inference(subst,[],[refute_0_402:[bind(X_28,$fot(divide(divide(divide(X_4,X_43),Z),X_4))),bind(X_29,$fot(X_43))]]) ).
cnf(refute_0_490,plain,
( divide(inverse(X_43),divide(divide(divide(X_4,X_43),Z),X_4)) != Z
| divide(inverse(X_43),divide(divide(divide(X_4,X_43),Z),X_4)) != inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4)))
| inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_43),divide(divide(divide(X_4,X_43),Z),X_4)),Z) ),[0],$fot(inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))))]]) ).
cnf(refute_0_491,plain,
( divide(inverse(X_43),divide(divide(divide(X_4,X_43),Z),X_4)) != Z
| inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))) = Z ),
inference(resolve,[$cnf( $equal(divide(inverse(X_43),divide(divide(divide(X_4,X_43),Z),X_4)),inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4)))) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))) = Z,
inference(resolve,[$cnf( $equal(divide(inverse(X_43),divide(divide(divide(X_4,X_43),Z),X_4)),Z) )],[refute_0_488,refute_0_491]) ).
cnf(refute_0_493,plain,
multiply(X_50,divide(X_48,divide(multiply(X_48,X_50),multiply(multiply(X_48,X_50),X_43)))) = multiply(multiply(X_48,X_50),X_43),
inference(subst,[],[refute_0_285:[bind(X,$fot(X_48)),bind(Z,$fot(multiply(multiply(X_48,X_50),X_43))),bind(X_16,$fot(X_50))]]) ).
cnf(refute_0_494,plain,
divide(multiply(X_48,X_50),multiply(multiply(X_48,X_50),X_43)) = inverse(X_43),
inference(subst,[],[refute_0_417:[bind(Y,$fot(multiply(X_48,X_50)))]]) ).
cnf(refute_0_495,plain,
( multiply(X_50,divide(X_48,divide(multiply(X_48,X_50),multiply(multiply(X_48,X_50),X_43)))) != multiply(multiply(X_48,X_50),X_43)
| divide(multiply(X_48,X_50),multiply(multiply(X_48,X_50),X_43)) != inverse(X_43)
| multiply(X_50,divide(X_48,inverse(X_43))) = multiply(multiply(X_48,X_50),X_43) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_50,divide(X_48,divide(multiply(X_48,X_50),multiply(multiply(X_48,X_50),X_43)))),multiply(multiply(X_48,X_50),X_43)) ),[0,1,1],$fot(inverse(X_43))]]) ).
cnf(refute_0_496,plain,
( multiply(X_50,divide(X_48,divide(multiply(X_48,X_50),multiply(multiply(X_48,X_50),X_43)))) != multiply(multiply(X_48,X_50),X_43)
| multiply(X_50,divide(X_48,inverse(X_43))) = multiply(multiply(X_48,X_50),X_43) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_48,X_50),multiply(multiply(X_48,X_50),X_43)),inverse(X_43)) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
multiply(X_50,divide(X_48,inverse(X_43))) = multiply(multiply(X_48,X_50),X_43),
inference(resolve,[$cnf( $equal(multiply(X_50,divide(X_48,divide(multiply(X_48,X_50),multiply(multiply(X_48,X_50),X_43)))),multiply(multiply(X_48,X_50),X_43)) )],[refute_0_493,refute_0_496]) ).
cnf(refute_0_498,plain,
divide(X_48,inverse(X_43)) = multiply(X_48,X_43),
inference(subst,[],[refute_0_133:[bind(X,$fot(X_48)),bind(Y,$fot(X_43))]]) ).
cnf(refute_0_499,plain,
multiply(X_50,divide(X_48,inverse(X_43))) = multiply(X_50,divide(X_48,inverse(X_43))),
introduced(tautology,[refl,[$fot(multiply(X_50,divide(X_48,inverse(X_43))))]]) ).
cnf(refute_0_500,plain,
( multiply(X_50,divide(X_48,inverse(X_43))) != multiply(X_50,divide(X_48,inverse(X_43)))
| divide(X_48,inverse(X_43)) != multiply(X_48,X_43)
| multiply(X_50,divide(X_48,inverse(X_43))) = multiply(X_50,multiply(X_48,X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_50,divide(X_48,inverse(X_43))),multiply(X_50,divide(X_48,inverse(X_43)))) ),[1,1],$fot(multiply(X_48,X_43))]]) ).
cnf(refute_0_501,plain,
( divide(X_48,inverse(X_43)) != multiply(X_48,X_43)
| multiply(X_50,divide(X_48,inverse(X_43))) = multiply(X_50,multiply(X_48,X_43)) ),
inference(resolve,[$cnf( $equal(multiply(X_50,divide(X_48,inverse(X_43))),multiply(X_50,divide(X_48,inverse(X_43)))) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
multiply(X_50,divide(X_48,inverse(X_43))) = multiply(X_50,multiply(X_48,X_43)),
inference(resolve,[$cnf( $equal(divide(X_48,inverse(X_43)),multiply(X_48,X_43)) )],[refute_0_498,refute_0_501]) ).
cnf(refute_0_503,plain,
( multiply(X_50,divide(X_48,inverse(X_43))) != multiply(X_50,multiply(X_48,X_43))
| multiply(X_50,divide(X_48,inverse(X_43))) != multiply(multiply(X_48,X_50),X_43)
| multiply(X_50,multiply(X_48,X_43)) = multiply(multiply(X_48,X_50),X_43) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_50,divide(X_48,inverse(X_43))),multiply(multiply(X_48,X_50),X_43)) ),[0],$fot(multiply(X_50,multiply(X_48,X_43)))]]) ).
cnf(refute_0_504,plain,
( multiply(X_50,divide(X_48,inverse(X_43))) != multiply(multiply(X_48,X_50),X_43)
| multiply(X_50,multiply(X_48,X_43)) = multiply(multiply(X_48,X_50),X_43) ),
inference(resolve,[$cnf( $equal(multiply(X_50,divide(X_48,inverse(X_43))),multiply(X_50,multiply(X_48,X_43))) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
multiply(X_50,multiply(X_48,X_43)) = multiply(multiply(X_48,X_50),X_43),
inference(resolve,[$cnf( $equal(multiply(X_50,divide(X_48,inverse(X_43))),multiply(multiply(X_48,X_50),X_43)) )],[refute_0_497,refute_0_504]) ).
cnf(refute_0_506,plain,
( multiply(X_50,multiply(X_48,X_43)) != multiply(multiply(X_48,X_50),X_43)
| multiply(multiply(X_48,X_50),X_43) = multiply(X_50,multiply(X_48,X_43)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_50,multiply(X_48,X_43)))),bind(Y0,$fot(multiply(multiply(X_48,X_50),X_43)))]]) ).
cnf(refute_0_507,plain,
multiply(multiply(X_48,X_50),X_43) = multiply(X_50,multiply(X_48,X_43)),
inference(resolve,[$cnf( $equal(multiply(X_50,multiply(X_48,X_43)),multiply(multiply(X_48,X_50),X_43)) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
multiply(multiply(X_4,Z),X_43) = multiply(Z,multiply(X_4,X_43)),
inference(subst,[],[refute_0_507:[bind(X_48,$fot(X_4)),bind(X_50,$fot(Z))]]) ).
cnf(refute_0_509,plain,
divide(X_4,multiply(multiply(X_4,Z),X_43)) = divide(X_4,multiply(multiply(X_4,Z),X_43)),
introduced(tautology,[refl,[$fot(divide(X_4,multiply(multiply(X_4,Z),X_43)))]]) ).
cnf(refute_0_510,plain,
( multiply(multiply(X_4,Z),X_43) != multiply(Z,multiply(X_4,X_43))
| divide(X_4,multiply(multiply(X_4,Z),X_43)) != divide(X_4,multiply(multiply(X_4,Z),X_43))
| divide(X_4,multiply(multiply(X_4,Z),X_43)) = divide(X_4,multiply(Z,multiply(X_4,X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_4,multiply(multiply(X_4,Z),X_43)),divide(X_4,multiply(multiply(X_4,Z),X_43))) ),[1,1],$fot(multiply(Z,multiply(X_4,X_43)))]]) ).
cnf(refute_0_511,plain,
( multiply(multiply(X_4,Z),X_43) != multiply(Z,multiply(X_4,X_43))
| divide(X_4,multiply(multiply(X_4,Z),X_43)) = divide(X_4,multiply(Z,multiply(X_4,X_43))) ),
inference(resolve,[$cnf( $equal(divide(X_4,multiply(multiply(X_4,Z),X_43)),divide(X_4,multiply(multiply(X_4,Z),X_43))) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
divide(X_4,multiply(multiply(X_4,Z),X_43)) = divide(X_4,multiply(Z,multiply(X_4,X_43))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_4,Z),X_43),multiply(Z,multiply(X_4,X_43))) )],[refute_0_508,refute_0_511]) ).
cnf(refute_0_513,plain,
divide(divide(X_58,X_59),multiply(divide(X_58,X_59),divide(multiply(X_57,X_59),X_58))) = inverse(divide(multiply(X_57,X_59),X_58)),
inference(subst,[],[refute_0_417:[bind(Y,$fot(divide(X_58,X_59))),bind(X_43,$fot(divide(multiply(X_57,X_59),X_58)))]]) ).
cnf(refute_0_514,plain,
divide(divide(multiply(X_35,X_4),X_36),divide(divide(multiply(X_35,X_4),X_35),X_36)) = X_35,
inference(subst,[],[refute_0_255:[bind(X,$fot(multiply(X_35,X_4))),bind(Z,$fot(X_35)),bind(X_4,$fot(X_36))]]) ).
cnf(refute_0_515,plain,
divide(multiply(X_35,X_4),X_35) = X_4,
inference(subst,[],[refute_0_151:[bind(X_3,$fot(X_35))]]) ).
cnf(refute_0_516,plain,
( divide(multiply(X_35,X_4),X_35) != X_4
| divide(divide(multiply(X_35,X_4),X_36),divide(divide(multiply(X_35,X_4),X_35),X_36)) != X_35
| divide(divide(multiply(X_35,X_4),X_36),divide(X_4,X_36)) = X_35 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(multiply(X_35,X_4),X_36),divide(divide(multiply(X_35,X_4),X_35),X_36)),X_35) ),[0,1,0],$fot(X_4)]]) ).
cnf(refute_0_517,plain,
( divide(divide(multiply(X_35,X_4),X_36),divide(divide(multiply(X_35,X_4),X_35),X_36)) != X_35
| divide(divide(multiply(X_35,X_4),X_36),divide(X_4,X_36)) = X_35 ),
inference(resolve,[$cnf( $equal(divide(multiply(X_35,X_4),X_35),X_4) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
divide(divide(multiply(X_35,X_4),X_36),divide(X_4,X_36)) = X_35,
inference(resolve,[$cnf( $equal(divide(divide(multiply(X_35,X_4),X_36),divide(divide(multiply(X_35,X_4),X_35),X_36)),X_35) )],[refute_0_514,refute_0_517]) ).
cnf(refute_0_519,plain,
multiply(divide(multiply(X_35,X_4),X_36),divide(X_36,X_4)) = multiply(divide(X_36,X_4),divide(multiply(X_35,X_4),X_36)),
inference(subst,[],[refute_0_308:[bind(X_48,$fot(divide(multiply(X_35,X_4),X_36))),bind(X_50,$fot(divide(X_36,X_4)))]]) ).
cnf(refute_0_520,plain,
divide(divide(multiply(X_35,X_4),X_36),divide(X_4,X_36)) = multiply(divide(multiply(X_35,X_4),X_36),divide(X_36,X_4)),
inference(subst,[],[refute_0_477:[bind(X_15,$fot(divide(multiply(X_35,X_4),X_36))),bind(X_51,$fot(X_4)),bind(X_52,$fot(X_36))]]) ).
cnf(refute_0_521,plain,
( multiply(divide(multiply(X_35,X_4),X_36),divide(X_36,X_4)) != multiply(divide(X_36,X_4),divide(multiply(X_35,X_4),X_36))
| divide(divide(multiply(X_35,X_4),X_36),divide(X_4,X_36)) != multiply(divide(multiply(X_35,X_4),X_36),divide(X_36,X_4))
| divide(divide(multiply(X_35,X_4),X_36),divide(X_4,X_36)) = multiply(divide(X_36,X_4),divide(multiply(X_35,X_4),X_36)) ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(divide(divide(multiply(X_35,X_4),X_36),divide(X_4,X_36)))),bind(Y0,$fot(multiply(divide(multiply(X_35,X_4),X_36),divide(X_36,X_4)))),bind(Z0,$fot(multiply(divide(X_36,X_4),divide(multiply(X_35,X_4),X_36))))]]) ).
cnf(refute_0_522,plain,
( multiply(divide(multiply(X_35,X_4),X_36),divide(X_36,X_4)) != multiply(divide(X_36,X_4),divide(multiply(X_35,X_4),X_36))
| divide(divide(multiply(X_35,X_4),X_36),divide(X_4,X_36)) = multiply(divide(X_36,X_4),divide(multiply(X_35,X_4),X_36)) ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(X_35,X_4),X_36),divide(X_4,X_36)),multiply(divide(multiply(X_35,X_4),X_36),divide(X_36,X_4))) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
divide(divide(multiply(X_35,X_4),X_36),divide(X_4,X_36)) = multiply(divide(X_36,X_4),divide(multiply(X_35,X_4),X_36)),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(X_35,X_4),X_36),divide(X_36,X_4)),multiply(divide(X_36,X_4),divide(multiply(X_35,X_4),X_36))) )],[refute_0_519,refute_0_522]) ).
cnf(refute_0_524,plain,
( divide(divide(multiply(X_35,X_4),X_36),divide(X_4,X_36)) != X_35
| divide(divide(multiply(X_35,X_4),X_36),divide(X_4,X_36)) != multiply(divide(X_36,X_4),divide(multiply(X_35,X_4),X_36))
| multiply(divide(X_36,X_4),divide(multiply(X_35,X_4),X_36)) = X_35 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(multiply(X_35,X_4),X_36),divide(X_4,X_36)),X_35) ),[0],$fot(multiply(divide(X_36,X_4),divide(multiply(X_35,X_4),X_36)))]]) ).
cnf(refute_0_525,plain,
( divide(divide(multiply(X_35,X_4),X_36),divide(X_4,X_36)) != X_35
| multiply(divide(X_36,X_4),divide(multiply(X_35,X_4),X_36)) = X_35 ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(X_35,X_4),X_36),divide(X_4,X_36)),multiply(divide(X_36,X_4),divide(multiply(X_35,X_4),X_36))) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
multiply(divide(X_36,X_4),divide(multiply(X_35,X_4),X_36)) = X_35,
inference(resolve,[$cnf( $equal(divide(divide(multiply(X_35,X_4),X_36),divide(X_4,X_36)),X_35) )],[refute_0_518,refute_0_525]) ).
cnf(refute_0_527,plain,
multiply(divide(X_58,X_59),divide(multiply(X_57,X_59),X_58)) = X_57,
inference(subst,[],[refute_0_526:[bind(X_35,$fot(X_57)),bind(X_36,$fot(X_58)),bind(X_4,$fot(X_59))]]) ).
cnf(refute_0_528,plain,
( multiply(divide(X_58,X_59),divide(multiply(X_57,X_59),X_58)) != X_57
| divide(divide(X_58,X_59),multiply(divide(X_58,X_59),divide(multiply(X_57,X_59),X_58))) != inverse(divide(multiply(X_57,X_59),X_58))
| divide(divide(X_58,X_59),X_57) = inverse(divide(multiply(X_57,X_59),X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_58,X_59),multiply(divide(X_58,X_59),divide(multiply(X_57,X_59),X_58))),inverse(divide(multiply(X_57,X_59),X_58))) ),[0,1],$fot(X_57)]]) ).
cnf(refute_0_529,plain,
( divide(divide(X_58,X_59),multiply(divide(X_58,X_59),divide(multiply(X_57,X_59),X_58))) != inverse(divide(multiply(X_57,X_59),X_58))
| divide(divide(X_58,X_59),X_57) = inverse(divide(multiply(X_57,X_59),X_58)) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_58,X_59),divide(multiply(X_57,X_59),X_58)),X_57) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
divide(divide(X_58,X_59),X_57) = inverse(divide(multiply(X_57,X_59),X_58)),
inference(resolve,[$cnf( $equal(divide(divide(X_58,X_59),multiply(divide(X_58,X_59),divide(multiply(X_57,X_59),X_58))),inverse(divide(multiply(X_57,X_59),X_58))) )],[refute_0_513,refute_0_529]) ).
cnf(refute_0_531,plain,
( divide(X_44,X_29) != inverse(divide(X_29,X_44))
| inverse(divide(X_29,X_44)) = divide(X_44,X_29) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(divide(X_44,X_29))),bind(Y0,$fot(inverse(divide(X_29,X_44))))]]) ).
cnf(refute_0_532,plain,
inverse(divide(X_29,X_44)) = divide(X_44,X_29),
inference(resolve,[$cnf( $equal(divide(X_44,X_29),inverse(divide(X_29,X_44))) )],[refute_0_434,refute_0_531]) ).
cnf(refute_0_533,plain,
inverse(divide(multiply(X_57,X_59),X_58)) = divide(X_58,multiply(X_57,X_59)),
inference(subst,[],[refute_0_532:[bind(X_29,$fot(multiply(X_57,X_59))),bind(X_44,$fot(X_58))]]) ).
cnf(refute_0_534,plain,
( divide(divide(X_58,X_59),X_57) != inverse(divide(multiply(X_57,X_59),X_58))
| inverse(divide(multiply(X_57,X_59),X_58)) != divide(X_58,multiply(X_57,X_59))
| divide(divide(X_58,X_59),X_57) = divide(X_58,multiply(X_57,X_59)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(X_58,X_59),X_57),divide(X_58,multiply(X_57,X_59))) ),[0],$fot(inverse(divide(multiply(X_57,X_59),X_58)))]]) ).
cnf(refute_0_535,plain,
( divide(divide(X_58,X_59),X_57) != inverse(divide(multiply(X_57,X_59),X_58))
| divide(divide(X_58,X_59),X_57) = divide(X_58,multiply(X_57,X_59)) ),
inference(resolve,[$cnf( $equal(inverse(divide(multiply(X_57,X_59),X_58)),divide(X_58,multiply(X_57,X_59))) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
divide(divide(X_58,X_59),X_57) = divide(X_58,multiply(X_57,X_59)),
inference(resolve,[$cnf( $equal(divide(divide(X_58,X_59),X_57),inverse(divide(multiply(X_57,X_59),X_58))) )],[refute_0_530,refute_0_535]) ).
cnf(refute_0_537,plain,
divide(divide(X_4,X_43),multiply(X_4,Z)) = divide(X_4,multiply(multiply(X_4,Z),X_43)),
inference(subst,[],[refute_0_536:[bind(X_57,$fot(multiply(X_4,Z))),bind(X_58,$fot(X_4)),bind(X_59,$fot(X_43))]]) ).
cnf(refute_0_538,plain,
divide(divide(divide(X_4,X_43),Z),X_4) = divide(divide(X_4,X_43),multiply(X_4,Z)),
inference(subst,[],[refute_0_536:[bind(X_57,$fot(X_4)),bind(X_58,$fot(divide(X_4,X_43))),bind(X_59,$fot(Z))]]) ).
cnf(refute_0_539,plain,
( divide(divide(X_4,X_43),multiply(X_4,Z)) != divide(X_4,multiply(multiply(X_4,Z),X_43))
| divide(divide(divide(X_4,X_43),Z),X_4) != divide(divide(X_4,X_43),multiply(X_4,Z))
| divide(divide(divide(X_4,X_43),Z),X_4) = divide(X_4,multiply(multiply(X_4,Z),X_43)) ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(divide(divide(divide(X_4,X_43),Z),X_4))),bind(Y0,$fot(divide(divide(X_4,X_43),multiply(X_4,Z)))),bind(Z0,$fot(divide(X_4,multiply(multiply(X_4,Z),X_43))))]]) ).
cnf(refute_0_540,plain,
( divide(divide(X_4,X_43),multiply(X_4,Z)) != divide(X_4,multiply(multiply(X_4,Z),X_43))
| divide(divide(divide(X_4,X_43),Z),X_4) = divide(X_4,multiply(multiply(X_4,Z),X_43)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_4,X_43),Z),X_4),divide(divide(X_4,X_43),multiply(X_4,Z))) )],[refute_0_538,refute_0_539]) ).
cnf(refute_0_541,plain,
divide(divide(divide(X_4,X_43),Z),X_4) = divide(X_4,multiply(multiply(X_4,Z),X_43)),
inference(resolve,[$cnf( $equal(divide(divide(X_4,X_43),multiply(X_4,Z)),divide(X_4,multiply(multiply(X_4,Z),X_43))) )],[refute_0_537,refute_0_540]) ).
cnf(refute_0_542,plain,
( divide(X_4,multiply(multiply(X_4,Z),X_43)) != divide(X_4,multiply(Z,multiply(X_4,X_43)))
| divide(divide(divide(X_4,X_43),Z),X_4) != divide(X_4,multiply(multiply(X_4,Z),X_43))
| divide(divide(divide(X_4,X_43),Z),X_4) = divide(X_4,multiply(Z,multiply(X_4,X_43))) ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(divide(divide(divide(X_4,X_43),Z),X_4))),bind(Y0,$fot(divide(X_4,multiply(multiply(X_4,Z),X_43)))),bind(Z0,$fot(divide(X_4,multiply(Z,multiply(X_4,X_43)))))]]) ).
cnf(refute_0_543,plain,
( divide(X_4,multiply(multiply(X_4,Z),X_43)) != divide(X_4,multiply(Z,multiply(X_4,X_43)))
| divide(divide(divide(X_4,X_43),Z),X_4) = divide(X_4,multiply(Z,multiply(X_4,X_43))) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_4,X_43),Z),X_4),divide(X_4,multiply(multiply(X_4,Z),X_43))) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
divide(divide(divide(X_4,X_43),Z),X_4) = divide(X_4,multiply(Z,multiply(X_4,X_43))),
inference(resolve,[$cnf( $equal(divide(X_4,multiply(multiply(X_4,Z),X_43)),divide(X_4,multiply(Z,multiply(X_4,X_43)))) )],[refute_0_512,refute_0_543]) ).
cnf(refute_0_545,plain,
multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4)) = multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4)),
introduced(tautology,[refl,[$fot(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4)))]]) ).
cnf(refute_0_546,plain,
( multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4)) != multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))
| divide(divide(divide(X_4,X_43),Z),X_4) != divide(X_4,multiply(Z,multiply(X_4,X_43)))
| multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4)) = multiply(X_43,divide(X_4,multiply(Z,multiply(X_4,X_43)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4)),multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))) ),[1,1],$fot(divide(X_4,multiply(Z,multiply(X_4,X_43))))]]) ).
cnf(refute_0_547,plain,
( divide(divide(divide(X_4,X_43),Z),X_4) != divide(X_4,multiply(Z,multiply(X_4,X_43)))
| multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4)) = multiply(X_43,divide(X_4,multiply(Z,multiply(X_4,X_43)))) ),
inference(resolve,[$cnf( $equal(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4)),multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4)) = multiply(X_43,divide(X_4,multiply(Z,multiply(X_4,X_43)))),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_4,X_43),Z),X_4),divide(X_4,multiply(Z,multiply(X_4,X_43)))) )],[refute_0_544,refute_0_547]) ).
cnf(refute_0_549,plain,
inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))) = inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))))]]) ).
cnf(refute_0_550,plain,
( multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4)) != multiply(X_43,divide(X_4,multiply(Z,multiply(X_4,X_43))))
| inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))) != inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4)))
| inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))) = inverse(multiply(X_43,divide(X_4,multiply(Z,multiply(X_4,X_43))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))),inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4)))) ),[1,0],$fot(multiply(X_43,divide(X_4,multiply(Z,multiply(X_4,X_43)))))]]) ).
cnf(refute_0_551,plain,
( multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4)) != multiply(X_43,divide(X_4,multiply(Z,multiply(X_4,X_43))))
| inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))) = inverse(multiply(X_43,divide(X_4,multiply(Z,multiply(X_4,X_43))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))),inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4)))) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))) = inverse(multiply(X_43,divide(X_4,multiply(Z,multiply(X_4,X_43))))),
inference(resolve,[$cnf( $equal(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4)),multiply(X_43,divide(X_4,multiply(Z,multiply(X_4,X_43))))) )],[refute_0_548,refute_0_551]) ).
cnf(refute_0_553,plain,
( inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))) != Z
| inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))) != inverse(multiply(X_43,divide(X_4,multiply(Z,multiply(X_4,X_43)))))
| inverse(multiply(X_43,divide(X_4,multiply(Z,multiply(X_4,X_43))))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))),Z) ),[0],$fot(inverse(multiply(X_43,divide(X_4,multiply(Z,multiply(X_4,X_43))))))]]) ).
cnf(refute_0_554,plain,
( inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))) != Z
| inverse(multiply(X_43,divide(X_4,multiply(Z,multiply(X_4,X_43))))) = Z ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))),inverse(multiply(X_43,divide(X_4,multiply(Z,multiply(X_4,X_43)))))) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
inverse(multiply(X_43,divide(X_4,multiply(Z,multiply(X_4,X_43))))) = Z,
inference(resolve,[$cnf( $equal(inverse(multiply(X_43,divide(divide(divide(X_4,X_43),Z),X_4))),Z) )],[refute_0_492,refute_0_554]) ).
cnf(refute_0_556,plain,
inverse(multiply(X_62,divide(X_61,multiply(X_60,multiply(X_61,X_62))))) = X_60,
inference(subst,[],[refute_0_555:[bind(Z,$fot(X_60)),bind(X_4,$fot(X_61)),bind(X_43,$fot(X_62))]]) ).
cnf(refute_0_557,plain,
( inverse(multiply(X_62,divide(X_61,multiply(X_60,multiply(X_61,X_62))))) != X_60
| inverse(inverse(multiply(X_62,divide(X_61,multiply(X_60,multiply(X_61,X_62)))))) != multiply(X_62,divide(X_61,multiply(X_60,multiply(X_61,X_62))))
| inverse(X_60) = multiply(X_62,divide(X_61,multiply(X_60,multiply(X_61,X_62)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_62,divide(X_61,multiply(X_60,multiply(X_61,X_62)))))),multiply(X_62,divide(X_61,multiply(X_60,multiply(X_61,X_62))))) ),[0,0],$fot(X_60)]]) ).
cnf(refute_0_558,plain,
( inverse(inverse(multiply(X_62,divide(X_61,multiply(X_60,multiply(X_61,X_62)))))) != multiply(X_62,divide(X_61,multiply(X_60,multiply(X_61,X_62))))
| inverse(X_60) = multiply(X_62,divide(X_61,multiply(X_60,multiply(X_61,X_62)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_62,divide(X_61,multiply(X_60,multiply(X_61,X_62))))),X_60) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
inverse(X_60) = multiply(X_62,divide(X_61,multiply(X_60,multiply(X_61,X_62)))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_62,divide(X_61,multiply(X_60,multiply(X_61,X_62)))))),multiply(X_62,divide(X_61,multiply(X_60,multiply(X_61,X_62))))) )],[refute_0_483,refute_0_558]) ).
cnf(refute_0_560,plain,
inverse(X_72) = multiply(X_74,divide(X_73,multiply(X_72,multiply(X_73,X_74)))),
inference(subst,[],[refute_0_559:[bind(X_60,$fot(X_72)),bind(X_61,$fot(X_73)),bind(X_62,$fot(X_74))]]) ).
cnf(refute_0_561,plain,
multiply(X_74,X_73) = multiply(X_73,X_74),
inference(subst,[],[refute_0_306:[bind(X_48,$fot(X_73)),bind(X_50,$fot(X_74))]]) ).
cnf(refute_0_562,plain,
( multiply(X_74,X_73) != multiply(X_73,X_74)
| multiply(X_73,X_74) = multiply(X_74,X_73) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_74,X_73))),bind(Y0,$fot(multiply(X_73,X_74)))]]) ).
cnf(refute_0_563,plain,
multiply(X_73,X_74) = multiply(X_74,X_73),
inference(resolve,[$cnf( $equal(multiply(X_74,X_73),multiply(X_73,X_74)) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
( multiply(X_73,X_74) != multiply(X_74,X_73)
| inverse(X_72) != multiply(X_74,divide(X_73,multiply(X_72,multiply(X_73,X_74))))
| inverse(X_72) = multiply(X_74,divide(X_73,multiply(X_72,multiply(X_74,X_73)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_72),multiply(X_74,divide(X_73,multiply(X_72,multiply(X_73,X_74))))) ),[1,1,1,1],$fot(multiply(X_74,X_73))]]) ).
cnf(refute_0_565,plain,
( inverse(X_72) != multiply(X_74,divide(X_73,multiply(X_72,multiply(X_73,X_74))))
| inverse(X_72) = multiply(X_74,divide(X_73,multiply(X_72,multiply(X_74,X_73)))) ),
inference(resolve,[$cnf( $equal(multiply(X_73,X_74),multiply(X_74,X_73)) )],[refute_0_563,refute_0_564]) ).
cnf(refute_0_566,plain,
inverse(X_72) = multiply(X_74,divide(X_73,multiply(X_72,multiply(X_74,X_73)))),
inference(resolve,[$cnf( $equal(inverse(X_72),multiply(X_74,divide(X_73,multiply(X_72,multiply(X_73,X_74))))) )],[refute_0_560,refute_0_565]) ).
cnf(refute_0_567,plain,
inverse(X_94) = multiply(X_48,divide(X_95,multiply(X_94,multiply(X_48,X_95)))),
inference(subst,[],[refute_0_566:[bind(X_72,$fot(X_94)),bind(X_73,$fot(X_95)),bind(X_74,$fot(X_48))]]) ).
cnf(refute_0_568,plain,
( inverse(X_94) != multiply(X_48,divide(X_95,multiply(X_94,multiply(X_48,X_95))))
| multiply(X_48,divide(X_95,multiply(X_94,multiply(X_48,X_95)))) = inverse(X_94) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_94))),bind(Y0,$fot(multiply(X_48,divide(X_95,multiply(X_94,multiply(X_48,X_95))))))]]) ).
cnf(refute_0_569,plain,
multiply(X_48,divide(X_95,multiply(X_94,multiply(X_48,X_95)))) = inverse(X_94),
inference(resolve,[$cnf( $equal(inverse(X_94),multiply(X_48,divide(X_95,multiply(X_94,multiply(X_48,X_95))))) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
( multiply(X_48,divide(X_95,multiply(X_94,multiply(X_48,X_95)))) != inverse(X_94)
| divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))) != multiply(X_48,divide(X_49,multiply(X_48,divide(X_95,multiply(X_94,multiply(X_48,X_95))))))
| divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))) = multiply(X_48,divide(X_49,inverse(X_94))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))),multiply(X_48,divide(X_49,multiply(X_48,divide(X_95,multiply(X_94,multiply(X_48,X_95))))))) ),[1,1,1],$fot(inverse(X_94))]]) ).
cnf(refute_0_571,plain,
( divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))) != multiply(X_48,divide(X_49,multiply(X_48,divide(X_95,multiply(X_94,multiply(X_48,X_95))))))
| divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))) = multiply(X_48,divide(X_49,inverse(X_94))) ),
inference(resolve,[$cnf( $equal(multiply(X_48,divide(X_95,multiply(X_94,multiply(X_48,X_95)))),inverse(X_94)) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))) = multiply(X_48,divide(X_49,inverse(X_94))),
inference(resolve,[$cnf( $equal(divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))),multiply(X_48,divide(X_49,multiply(X_48,divide(X_95,multiply(X_94,multiply(X_48,X_95))))))) )],[refute_0_482,refute_0_571]) ).
cnf(refute_0_573,plain,
multiply(X_48,identity) = X_48,
inference(subst,[],[refute_0_211:[bind(Z,$fot(X_48))]]) ).
cnf(refute_0_574,plain,
divide(X_95,X_95) = identity,
inference(subst,[],[refute_0_4:[bind(X,$fot(X_95))]]) ).
cnf(refute_0_575,plain,
multiply(X_48,divide(X_95,X_95)) = multiply(X_48,divide(X_95,X_95)),
introduced(tautology,[refl,[$fot(multiply(X_48,divide(X_95,X_95)))]]) ).
cnf(refute_0_576,plain,
( multiply(X_48,divide(X_95,X_95)) != multiply(X_48,divide(X_95,X_95))
| divide(X_95,X_95) != identity
| multiply(X_48,divide(X_95,X_95)) = multiply(X_48,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_48,divide(X_95,X_95)),multiply(X_48,divide(X_95,X_95))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_577,plain,
( divide(X_95,X_95) != identity
| multiply(X_48,divide(X_95,X_95)) = multiply(X_48,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_48,divide(X_95,X_95)),multiply(X_48,divide(X_95,X_95))) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
multiply(X_48,divide(X_95,X_95)) = multiply(X_48,identity),
inference(resolve,[$cnf( $equal(divide(X_95,X_95),identity) )],[refute_0_574,refute_0_577]) ).
cnf(refute_0_579,plain,
( multiply(X_48,divide(X_95,X_95)) != multiply(X_48,identity)
| multiply(X_48,identity) != X_48
| multiply(X_48,divide(X_95,X_95)) = X_48 ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(multiply(X_48,divide(X_95,X_95)))),bind(Y0,$fot(multiply(X_48,identity))),bind(Z0,$fot(X_48))]]) ).
cnf(refute_0_580,plain,
( multiply(X_48,identity) != X_48
| multiply(X_48,divide(X_95,X_95)) = X_48 ),
inference(resolve,[$cnf( $equal(multiply(X_48,divide(X_95,X_95)),multiply(X_48,identity)) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
multiply(X_48,divide(X_95,X_95)) = X_48,
inference(resolve,[$cnf( $equal(multiply(X_48,identity),X_48) )],[refute_0_573,refute_0_580]) ).
cnf(refute_0_582,plain,
divide(multiply(divide(X_58,X_59),divide(multiply(X_57,X_59),X_58)),divide(X_58,X_59)) = divide(multiply(X_57,X_59),X_58),
inference(subst,[],[refute_0_151:[bind(X_3,$fot(divide(X_58,X_59))),bind(X_4,$fot(divide(multiply(X_57,X_59),X_58)))]]) ).
cnf(refute_0_583,plain,
( multiply(divide(X_58,X_59),divide(multiply(X_57,X_59),X_58)) != X_57
| divide(multiply(divide(X_58,X_59),divide(multiply(X_57,X_59),X_58)),divide(X_58,X_59)) != divide(multiply(X_57,X_59),X_58)
| divide(X_57,divide(X_58,X_59)) = divide(multiply(X_57,X_59),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(X_58,X_59),divide(multiply(X_57,X_59),X_58)),divide(X_58,X_59)),divide(multiply(X_57,X_59),X_58)) ),[0,0],$fot(X_57)]]) ).
cnf(refute_0_584,plain,
( divide(multiply(divide(X_58,X_59),divide(multiply(X_57,X_59),X_58)),divide(X_58,X_59)) != divide(multiply(X_57,X_59),X_58)
| divide(X_57,divide(X_58,X_59)) = divide(multiply(X_57,X_59),X_58) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_58,X_59),divide(multiply(X_57,X_59),X_58)),X_57) )],[refute_0_527,refute_0_583]) ).
cnf(refute_0_585,plain,
divide(X_57,divide(X_58,X_59)) = divide(multiply(X_57,X_59),X_58),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_58,X_59),divide(multiply(X_57,X_59),X_58)),divide(X_58,X_59)),divide(multiply(X_57,X_59),X_58)) )],[refute_0_582,refute_0_584]) ).
cnf(refute_0_586,plain,
divide(X_57,divide(X_58,X_59)) = multiply(X_57,divide(X_59,X_58)),
inference(subst,[],[refute_0_477:[bind(X_15,$fot(X_57)),bind(X_51,$fot(X_58)),bind(X_52,$fot(X_59))]]) ).
cnf(refute_0_587,plain,
( divide(X_57,divide(X_58,X_59)) != multiply(X_57,divide(X_59,X_58))
| divide(X_57,divide(X_58,X_59)) != divide(multiply(X_57,X_59),X_58)
| multiply(X_57,divide(X_59,X_58)) = divide(multiply(X_57,X_59),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_57,divide(X_58,X_59)),divide(multiply(X_57,X_59),X_58)) ),[0],$fot(multiply(X_57,divide(X_59,X_58)))]]) ).
cnf(refute_0_588,plain,
( divide(X_57,divide(X_58,X_59)) != divide(multiply(X_57,X_59),X_58)
| multiply(X_57,divide(X_59,X_58)) = divide(multiply(X_57,X_59),X_58) ),
inference(resolve,[$cnf( $equal(divide(X_57,divide(X_58,X_59)),multiply(X_57,divide(X_59,X_58))) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
multiply(X_57,divide(X_59,X_58)) = divide(multiply(X_57,X_59),X_58),
inference(resolve,[$cnf( $equal(divide(X_57,divide(X_58,X_59)),divide(multiply(X_57,X_59),X_58)) )],[refute_0_585,refute_0_588]) ).
cnf(refute_0_590,plain,
( multiply(X_57,divide(X_59,X_58)) != divide(multiply(X_57,X_59),X_58)
| divide(multiply(X_57,X_59),X_58) = multiply(X_57,divide(X_59,X_58)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_57,divide(X_59,X_58)))),bind(Y0,$fot(divide(multiply(X_57,X_59),X_58)))]]) ).
cnf(refute_0_591,plain,
divide(multiply(X_57,X_59),X_58) = multiply(X_57,divide(X_59,X_58)),
inference(resolve,[$cnf( $equal(multiply(X_57,divide(X_59,X_58)),divide(multiply(X_57,X_59),X_58)) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
divide(multiply(X_48,X_95),X_95) = multiply(X_48,divide(X_95,X_95)),
inference(subst,[],[refute_0_591:[bind(X_57,$fot(X_48)),bind(X_58,$fot(X_95)),bind(X_59,$fot(X_95))]]) ).
cnf(refute_0_593,plain,
( multiply(X_48,divide(X_95,X_95)) != X_48
| divide(multiply(X_48,X_95),X_95) != multiply(X_48,divide(X_95,X_95))
| divide(multiply(X_48,X_95),X_95) = X_48 ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(divide(multiply(X_48,X_95),X_95))),bind(Y0,$fot(multiply(X_48,divide(X_95,X_95)))),bind(Z0,$fot(X_48))]]) ).
cnf(refute_0_594,plain,
( multiply(X_48,divide(X_95,X_95)) != X_48
| divide(multiply(X_48,X_95),X_95) = X_48 ),
inference(resolve,[$cnf( $equal(divide(multiply(X_48,X_95),X_95),multiply(X_48,divide(X_95,X_95))) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
divide(multiply(X_48,X_95),X_95) = X_48,
inference(resolve,[$cnf( $equal(multiply(X_48,divide(X_95,X_95)),X_48) )],[refute_0_581,refute_0_594]) ).
cnf(refute_0_596,plain,
multiply(X_94,divide(multiply(X_48,X_95),X_95)) = multiply(X_94,divide(multiply(X_48,X_95),X_95)),
introduced(tautology,[refl,[$fot(multiply(X_94,divide(multiply(X_48,X_95),X_95)))]]) ).
cnf(refute_0_597,plain,
( multiply(X_94,divide(multiply(X_48,X_95),X_95)) != multiply(X_94,divide(multiply(X_48,X_95),X_95))
| divide(multiply(X_48,X_95),X_95) != X_48
| multiply(X_94,divide(multiply(X_48,X_95),X_95)) = multiply(X_94,X_48) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_94,divide(multiply(X_48,X_95),X_95)),multiply(X_94,divide(multiply(X_48,X_95),X_95))) ),[1,1],$fot(X_48)]]) ).
cnf(refute_0_598,plain,
( divide(multiply(X_48,X_95),X_95) != X_48
| multiply(X_94,divide(multiply(X_48,X_95),X_95)) = multiply(X_94,X_48) ),
inference(resolve,[$cnf( $equal(multiply(X_94,divide(multiply(X_48,X_95),X_95)),multiply(X_94,divide(multiply(X_48,X_95),X_95))) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
multiply(X_94,divide(multiply(X_48,X_95),X_95)) = multiply(X_94,X_48),
inference(resolve,[$cnf( $equal(divide(multiply(X_48,X_95),X_95),X_48) )],[refute_0_595,refute_0_598]) ).
cnf(refute_0_600,plain,
divide(multiply(X_94,multiply(X_48,X_95)),X_95) = multiply(X_94,divide(multiply(X_48,X_95),X_95)),
inference(subst,[],[refute_0_591:[bind(X_57,$fot(X_94)),bind(X_58,$fot(X_95)),bind(X_59,$fot(multiply(X_48,X_95)))]]) ).
cnf(refute_0_601,plain,
( multiply(X_94,divide(multiply(X_48,X_95),X_95)) != multiply(X_94,X_48)
| divide(multiply(X_94,multiply(X_48,X_95)),X_95) != multiply(X_94,divide(multiply(X_48,X_95),X_95))
| divide(multiply(X_94,multiply(X_48,X_95)),X_95) = multiply(X_94,X_48) ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(divide(multiply(X_94,multiply(X_48,X_95)),X_95))),bind(Y0,$fot(multiply(X_94,divide(multiply(X_48,X_95),X_95)))),bind(Z0,$fot(multiply(X_94,X_48)))]]) ).
cnf(refute_0_602,plain,
( multiply(X_94,divide(multiply(X_48,X_95),X_95)) != multiply(X_94,X_48)
| divide(multiply(X_94,multiply(X_48,X_95)),X_95) = multiply(X_94,X_48) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_94,multiply(X_48,X_95)),X_95),multiply(X_94,divide(multiply(X_48,X_95),X_95))) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
divide(multiply(X_94,multiply(X_48,X_95)),X_95) = multiply(X_94,X_48),
inference(resolve,[$cnf( $equal(multiply(X_94,divide(multiply(X_48,X_95),X_95)),multiply(X_94,X_48)) )],[refute_0_599,refute_0_602]) ).
cnf(refute_0_604,plain,
multiply(X_49,divide(multiply(X_94,multiply(X_48,X_95)),X_95)) = multiply(X_49,divide(multiply(X_94,multiply(X_48,X_95)),X_95)),
introduced(tautology,[refl,[$fot(multiply(X_49,divide(multiply(X_94,multiply(X_48,X_95)),X_95)))]]) ).
cnf(refute_0_605,plain,
( multiply(X_49,divide(multiply(X_94,multiply(X_48,X_95)),X_95)) != multiply(X_49,divide(multiply(X_94,multiply(X_48,X_95)),X_95))
| divide(multiply(X_94,multiply(X_48,X_95)),X_95) != multiply(X_94,X_48)
| multiply(X_49,divide(multiply(X_94,multiply(X_48,X_95)),X_95)) = multiply(X_49,multiply(X_94,X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_49,divide(multiply(X_94,multiply(X_48,X_95)),X_95)),multiply(X_49,divide(multiply(X_94,multiply(X_48,X_95)),X_95))) ),[1,1],$fot(multiply(X_94,X_48))]]) ).
cnf(refute_0_606,plain,
( divide(multiply(X_94,multiply(X_48,X_95)),X_95) != multiply(X_94,X_48)
| multiply(X_49,divide(multiply(X_94,multiply(X_48,X_95)),X_95)) = multiply(X_49,multiply(X_94,X_48)) ),
inference(resolve,[$cnf( $equal(multiply(X_49,divide(multiply(X_94,multiply(X_48,X_95)),X_95)),multiply(X_49,divide(multiply(X_94,multiply(X_48,X_95)),X_95))) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
multiply(X_49,divide(multiply(X_94,multiply(X_48,X_95)),X_95)) = multiply(X_49,multiply(X_94,X_48)),
inference(resolve,[$cnf( $equal(divide(multiply(X_94,multiply(X_48,X_95)),X_95),multiply(X_94,X_48)) )],[refute_0_603,refute_0_606]) ).
cnf(refute_0_608,plain,
divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))) = multiply(X_49,divide(multiply(X_94,multiply(X_48,X_95)),X_95)),
inference(subst,[],[refute_0_477:[bind(X_15,$fot(X_49)),bind(X_51,$fot(X_95)),bind(X_52,$fot(multiply(X_94,multiply(X_48,X_95))))]]) ).
cnf(refute_0_609,plain,
( multiply(X_49,divide(multiply(X_94,multiply(X_48,X_95)),X_95)) != multiply(X_49,multiply(X_94,X_48))
| divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))) != multiply(X_49,divide(multiply(X_94,multiply(X_48,X_95)),X_95))
| divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))) = multiply(X_49,multiply(X_94,X_48)) ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))))),bind(Y0,$fot(multiply(X_49,divide(multiply(X_94,multiply(X_48,X_95)),X_95)))),bind(Z0,$fot(multiply(X_49,multiply(X_94,X_48))))]]) ).
cnf(refute_0_610,plain,
( multiply(X_49,divide(multiply(X_94,multiply(X_48,X_95)),X_95)) != multiply(X_49,multiply(X_94,X_48))
| divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))) = multiply(X_49,multiply(X_94,X_48)) ),
inference(resolve,[$cnf( $equal(divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))),multiply(X_49,divide(multiply(X_94,multiply(X_48,X_95)),X_95))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))) = multiply(X_49,multiply(X_94,X_48)),
inference(resolve,[$cnf( $equal(multiply(X_49,divide(multiply(X_94,multiply(X_48,X_95)),X_95)),multiply(X_49,multiply(X_94,X_48))) )],[refute_0_607,refute_0_610]) ).
cnf(refute_0_612,plain,
( divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))) != multiply(X_48,divide(X_49,inverse(X_94)))
| divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))) != multiply(X_49,multiply(X_94,X_48))
| multiply(X_49,multiply(X_94,X_48)) = multiply(X_48,divide(X_49,inverse(X_94))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))),multiply(X_48,divide(X_49,inverse(X_94)))) ),[0],$fot(multiply(X_49,multiply(X_94,X_48)))]]) ).
cnf(refute_0_613,plain,
( divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))) != multiply(X_48,divide(X_49,inverse(X_94)))
| multiply(X_49,multiply(X_94,X_48)) = multiply(X_48,divide(X_49,inverse(X_94))) ),
inference(resolve,[$cnf( $equal(divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))),multiply(X_49,multiply(X_94,X_48))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
divide(X_49,inverse(X_94)) = multiply(X_49,X_94),
inference(subst,[],[refute_0_133:[bind(X,$fot(X_49)),bind(Y,$fot(X_94))]]) ).
cnf(refute_0_615,plain,
multiply(X_48,divide(X_49,inverse(X_94))) = multiply(X_48,divide(X_49,inverse(X_94))),
introduced(tautology,[refl,[$fot(multiply(X_48,divide(X_49,inverse(X_94))))]]) ).
cnf(refute_0_616,plain,
( multiply(X_48,divide(X_49,inverse(X_94))) != multiply(X_48,divide(X_49,inverse(X_94)))
| divide(X_49,inverse(X_94)) != multiply(X_49,X_94)
| multiply(X_48,divide(X_49,inverse(X_94))) = multiply(X_48,multiply(X_49,X_94)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_48,divide(X_49,inverse(X_94))),multiply(X_48,divide(X_49,inverse(X_94)))) ),[1,1],$fot(multiply(X_49,X_94))]]) ).
cnf(refute_0_617,plain,
( divide(X_49,inverse(X_94)) != multiply(X_49,X_94)
| multiply(X_48,divide(X_49,inverse(X_94))) = multiply(X_48,multiply(X_49,X_94)) ),
inference(resolve,[$cnf( $equal(multiply(X_48,divide(X_49,inverse(X_94))),multiply(X_48,divide(X_49,inverse(X_94)))) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
multiply(X_48,divide(X_49,inverse(X_94))) = multiply(X_48,multiply(X_49,X_94)),
inference(resolve,[$cnf( $equal(divide(X_49,inverse(X_94)),multiply(X_49,X_94)) )],[refute_0_614,refute_0_617]) ).
cnf(refute_0_619,plain,
( multiply(X_48,divide(X_49,inverse(X_94))) != multiply(X_48,multiply(X_49,X_94))
| multiply(X_49,multiply(X_94,X_48)) != multiply(X_48,divide(X_49,inverse(X_94)))
| multiply(X_49,multiply(X_94,X_48)) = multiply(X_48,multiply(X_49,X_94)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_49,multiply(X_94,X_48)),multiply(X_48,divide(X_49,inverse(X_94)))) ),[1],$fot(multiply(X_48,multiply(X_49,X_94)))]]) ).
cnf(refute_0_620,plain,
( multiply(X_49,multiply(X_94,X_48)) != multiply(X_48,divide(X_49,inverse(X_94)))
| multiply(X_49,multiply(X_94,X_48)) = multiply(X_48,multiply(X_49,X_94)) ),
inference(resolve,[$cnf( $equal(multiply(X_48,divide(X_49,inverse(X_94))),multiply(X_48,multiply(X_49,X_94))) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
( divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))) != multiply(X_48,divide(X_49,inverse(X_94)))
| multiply(X_49,multiply(X_94,X_48)) = multiply(X_48,multiply(X_49,X_94)) ),
inference(resolve,[$cnf( $equal(multiply(X_49,multiply(X_94,X_48)),multiply(X_48,divide(X_49,inverse(X_94)))) )],[refute_0_613,refute_0_620]) ).
cnf(refute_0_622,plain,
multiply(X_49,multiply(X_94,X_48)) = multiply(X_48,multiply(X_49,X_94)),
inference(resolve,[$cnf( $equal(divide(X_49,divide(X_95,multiply(X_94,multiply(X_48,X_95)))),multiply(X_48,divide(X_49,inverse(X_94)))) )],[refute_0_572,refute_0_621]) ).
cnf(refute_0_623,plain,
( multiply(X_49,multiply(X_94,X_48)) != multiply(X_48,multiply(X_49,X_94))
| multiply(X_48,multiply(X_49,X_94)) = multiply(X_49,multiply(X_94,X_48)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_49,multiply(X_94,X_48)))),bind(Y0,$fot(multiply(X_48,multiply(X_49,X_94))))]]) ).
cnf(refute_0_624,plain,
multiply(X_48,multiply(X_49,X_94)) = multiply(X_49,multiply(X_94,X_48)),
inference(resolve,[$cnf( $equal(multiply(X_49,multiply(X_94,X_48)),multiply(X_48,multiply(X_49,X_94))) )],[refute_0_622,refute_0_623]) ).
cnf(refute_0_625,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_624:[bind(X_48,$fot(c3)),bind(X_49,$fot(a3)),bind(X_94,$fot(b3))]]) ).
cnf(refute_0_626,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_308:[bind(X_48,$fot(multiply(a3,b3))),bind(X_50,$fot(c3))]]) ).
cnf(refute_0_627,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(subst,[],[refute_0_141:[bind(X0,$fot(multiply(multiply(a3,b3),c3))),bind(Y0,$fot(multiply(c3,multiply(a3,b3)))),bind(Z0,$fot(multiply(a3,multiply(b3,c3))))]]) ).
cnf(refute_0_628,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_625,refute_0_628]) ).
cnf(refute_0_630,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_631,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_629,refute_0_630]) ).
cnf(refute_0_632,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4)
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_631,refute_0_470]) ).
cnf(refute_0_633,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_634,plain,
( multiply(a4,b4) != multiply(a4,b4)
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_633,refute_0_632]) ).
cnf(refute_0_635,plain,
multiply(a4,b4) = multiply(a4,b4),
introduced(tautology,[refl,[$fot(multiply(a4,b4))]]) ).
cnf(refute_0_636,plain,
( a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(a4,b4)) )],[refute_0_635,refute_0_634]) ).
cnf(refute_0_637,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_638,plain,
identity != identity,
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_637,refute_0_636]) ).
cnf(refute_0_639,plain,
identity = identity,
introduced(tautology,[refl,[$fot(identity)]]) ).
cnf(refute_0_640,plain,
$false,
inference(resolve,[$cnf( $equal(identity,identity) )],[refute_0_639,refute_0_638]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP091-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.32 % Computer : n003.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 00:34:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.41/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.62
% 0.41/0.62 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.49/0.69
%------------------------------------------------------------------------------