TSTP Solution File: GRP094-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP094-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.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 10:34:41 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 72
% Number of leaves : 144
% Syntax : Number of clauses : 620 ( 320 unt; 0 nHn; 322 RR)
% Number of literals : 1063 (1062 equ; 451 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 : 1342 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X)) = Z ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,divide(identity,Y)) ).
cnf(inverse,axiom,
inverse(X) = divide(identity,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(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_7,plain,
divide(identity,X) = inverse(X),
inference(resolve,[$cnf( $equal(inverse(X),divide(identity,X)) )],[inverse,refute_0_6]) ).
cnf(refute_0_8,plain,
divide(identity,Y) = inverse(Y),
inference(subst,[],[refute_0_7:[bind(X,$fot(Y))]]) ).
cnf(refute_0_9,plain,
divide(X,divide(identity,Y)) = divide(X,divide(identity,Y)),
introduced(tautology,[refl,[$fot(divide(X,divide(identity,Y)))]]) ).
cnf(refute_0_10,plain,
( divide(X,divide(identity,Y)) != divide(X,divide(identity,Y))
| divide(identity,Y) != inverse(Y)
| divide(X,divide(identity,Y)) = divide(X,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(identity,Y)),divide(X,divide(identity,Y))) ),[1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_11,plain,
( divide(identity,Y) != inverse(Y)
| divide(X,divide(identity,Y)) = divide(X,inverse(Y)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(identity,Y)),divide(X,divide(identity,Y))) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
divide(X,divide(identity,Y)) = divide(X,inverse(Y)),
inference(resolve,[$cnf( $equal(divide(identity,Y),inverse(Y)) )],[refute_0_8,refute_0_11]) ).
cnf(refute_0_13,plain,
( multiply(X,Y) != divide(X,divide(identity,Y))
| divide(X,divide(identity,Y)) != divide(X,inverse(Y))
| multiply(X,Y) = divide(X,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,Y),divide(X,inverse(Y))) ),[0],$fot(divide(X,divide(identity,Y)))]]) ).
cnf(refute_0_14,plain,
( multiply(X,Y) != divide(X,divide(identity,Y))
| multiply(X,Y) = divide(X,inverse(Y)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(identity,Y)),divide(X,inverse(Y))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
multiply(X,Y) = divide(X,inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,divide(identity,Y))) )],[multiply,refute_0_14]) ).
cnf(refute_0_16,plain,
multiply(X,inverse(X_13)) = divide(X,inverse(inverse(X_13))),
inference(subst,[],[refute_0_15:[bind(Y,$fot(inverse(X_13)))]]) ).
cnf(refute_0_17,plain,
divide(identity,divide(X,Y)) = inverse(divide(X,Y)),
inference(subst,[],[refute_0_7:[bind(X,$fot(divide(X,Y)))]]) ).
cnf(refute_0_18,plain,
divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X)) = divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X)),
introduced(tautology,[refl,[$fot(divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X)))]]) ).
cnf(refute_0_19,plain,
( divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X)) != divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X))
| divide(identity,divide(X,Y)) != inverse(divide(X,Y))
| divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X)) = divide(inverse(divide(X,Y)),divide(divide(Y,Z),X)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X)),divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X))) ),[1,0],$fot(inverse(divide(X,Y)))]]) ).
cnf(refute_0_20,plain,
( divide(identity,divide(X,Y)) != inverse(divide(X,Y))
| divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X)) = divide(inverse(divide(X,Y)),divide(divide(Y,Z),X)) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X)),divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X)) = divide(inverse(divide(X,Y)),divide(divide(Y,Z),X)),
inference(resolve,[$cnf( $equal(divide(identity,divide(X,Y)),inverse(divide(X,Y))) )],[refute_0_17,refute_0_20]) ).
cnf(refute_0_22,plain,
( divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X)) != Z
| divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X)) != divide(inverse(divide(X,Y)),divide(divide(Y,Z),X))
| divide(inverse(divide(X,Y)),divide(divide(Y,Z),X)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X)),Z) ),[0],$fot(divide(inverse(divide(X,Y)),divide(divide(Y,Z),X)))]]) ).
cnf(refute_0_23,plain,
( divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X)) != Z
| divide(inverse(divide(X,Y)),divide(divide(Y,Z),X)) = Z ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X)),divide(inverse(divide(X,Y)),divide(divide(Y,Z),X))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
divide(inverse(divide(X,Y)),divide(divide(Y,Z),X)) = Z,
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X)),Z) )],[single_axiom,refute_0_23]) ).
cnf(refute_0_25,plain,
divide(inverse(divide(X_7,X_9)),divide(divide(X_9,X_9),X_7)) = X_9,
inference(subst,[],[refute_0_24:[bind(X,$fot(X_7)),bind(Y,$fot(X_9)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_26,plain,
identity = divide(X_9,X_9),
inference(subst,[],[identity:[bind(X,$fot(X_9))]]) ).
cnf(refute_0_27,plain,
( identity != divide(X_9,X_9)
| divide(X_9,X_9) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(X_9,X_9)))]]) ).
cnf(refute_0_28,plain,
divide(X_9,X_9) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_9,X_9)) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( divide(X_9,X_9) != identity
| divide(inverse(divide(X_7,X_9)),divide(divide(X_9,X_9),X_7)) != X_9
| divide(inverse(divide(X_7,X_9)),divide(identity,X_7)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_7,X_9)),divide(divide(X_9,X_9),X_7)),X_9) ),[0,1,0],$fot(identity)]]) ).
cnf(refute_0_30,plain,
( divide(inverse(divide(X_7,X_9)),divide(divide(X_9,X_9),X_7)) != X_9
| divide(inverse(divide(X_7,X_9)),divide(identity,X_7)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(X_9,X_9),identity) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
divide(inverse(divide(X_7,X_9)),divide(identity,X_7)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,X_9)),divide(divide(X_9,X_9),X_7)),X_9) )],[refute_0_25,refute_0_30]) ).
cnf(refute_0_32,plain,
( multiply(X,Y) != divide(X,inverse(Y))
| divide(X,inverse(Y)) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(divide(X,inverse(Y))))]]) ).
cnf(refute_0_33,plain,
divide(X,inverse(Y)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,inverse(Y))) )],[refute_0_15,refute_0_32]) ).
cnf(refute_0_34,plain,
divide(inverse(divide(X_7,X_9)),inverse(X_7)) = multiply(inverse(divide(X_7,X_9)),X_7),
inference(subst,[],[refute_0_33:[bind(X,$fot(inverse(divide(X_7,X_9)))),bind(Y,$fot(X_7))]]) ).
cnf(refute_0_35,plain,
divide(identity,X_7) = inverse(X_7),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_7))]]) ).
cnf(refute_0_36,plain,
divide(inverse(divide(X_7,X_9)),divide(identity,X_7)) = divide(inverse(divide(X_7,X_9)),divide(identity,X_7)),
introduced(tautology,[refl,[$fot(divide(inverse(divide(X_7,X_9)),divide(identity,X_7)))]]) ).
cnf(refute_0_37,plain,
( divide(identity,X_7) != inverse(X_7)
| divide(inverse(divide(X_7,X_9)),divide(identity,X_7)) != divide(inverse(divide(X_7,X_9)),divide(identity,X_7))
| divide(inverse(divide(X_7,X_9)),divide(identity,X_7)) = divide(inverse(divide(X_7,X_9)),inverse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_7,X_9)),divide(identity,X_7)),divide(inverse(divide(X_7,X_9)),divide(identity,X_7))) ),[1,1],$fot(inverse(X_7))]]) ).
cnf(refute_0_38,plain,
( divide(identity,X_7) != inverse(X_7)
| divide(inverse(divide(X_7,X_9)),divide(identity,X_7)) = divide(inverse(divide(X_7,X_9)),inverse(X_7)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,X_9)),divide(identity,X_7)),divide(inverse(divide(X_7,X_9)),divide(identity,X_7))) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
divide(inverse(divide(X_7,X_9)),divide(identity,X_7)) = divide(inverse(divide(X_7,X_9)),inverse(X_7)),
inference(resolve,[$cnf( $equal(divide(identity,X_7),inverse(X_7)) )],[refute_0_35,refute_0_38]) ).
cnf(refute_0_40,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_41,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_40]) ).
cnf(refute_0_42,plain,
( divide(inverse(divide(X_7,X_9)),divide(identity,X_7)) != divide(inverse(divide(X_7,X_9)),inverse(X_7))
| divide(inverse(divide(X_7,X_9)),inverse(X_7)) != multiply(inverse(divide(X_7,X_9)),X_7)
| divide(inverse(divide(X_7,X_9)),divide(identity,X_7)) = multiply(inverse(divide(X_7,X_9)),X_7) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(divide(inverse(divide(X_7,X_9)),divide(identity,X_7)))),bind(Y0,$fot(divide(inverse(divide(X_7,X_9)),inverse(X_7)))),bind(Z0,$fot(multiply(inverse(divide(X_7,X_9)),X_7)))]]) ).
cnf(refute_0_43,plain,
( divide(inverse(divide(X_7,X_9)),inverse(X_7)) != multiply(inverse(divide(X_7,X_9)),X_7)
| divide(inverse(divide(X_7,X_9)),divide(identity,X_7)) = multiply(inverse(divide(X_7,X_9)),X_7) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,X_9)),divide(identity,X_7)),divide(inverse(divide(X_7,X_9)),inverse(X_7))) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
divide(inverse(divide(X_7,X_9)),divide(identity,X_7)) = multiply(inverse(divide(X_7,X_9)),X_7),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,X_9)),inverse(X_7)),multiply(inverse(divide(X_7,X_9)),X_7)) )],[refute_0_34,refute_0_43]) ).
cnf(refute_0_45,plain,
( divide(inverse(divide(X_7,X_9)),divide(identity,X_7)) != X_9
| divide(inverse(divide(X_7,X_9)),divide(identity,X_7)) != multiply(inverse(divide(X_7,X_9)),X_7)
| multiply(inverse(divide(X_7,X_9)),X_7) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_7,X_9)),divide(identity,X_7)),X_9) ),[0],$fot(multiply(inverse(divide(X_7,X_9)),X_7))]]) ).
cnf(refute_0_46,plain,
( divide(inverse(divide(X_7,X_9)),divide(identity,X_7)) != X_9
| multiply(inverse(divide(X_7,X_9)),X_7) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,X_9)),divide(identity,X_7)),multiply(inverse(divide(X_7,X_9)),X_7)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
multiply(inverse(divide(X_7,X_9)),X_7) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,X_9)),divide(identity,X_7)),X_9) )],[refute_0_31,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(inverse(divide(identity,X_12)),identity) = X_12,
inference(subst,[],[refute_0_47:[bind(X_7,$fot(identity)),bind(X_9,$fot(X_12))]]) ).
cnf(refute_0_49,plain,
inverse(X_12) = divide(identity,X_12),
inference(subst,[],[inverse:[bind(X,$fot(X_12))]]) ).
cnf(refute_0_50,plain,
( inverse(X_12) != divide(identity,X_12)
| divide(identity,X_12) = inverse(X_12) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_12))),bind(Y0,$fot(divide(identity,X_12)))]]) ).
cnf(refute_0_51,plain,
divide(identity,X_12) = inverse(X_12),
inference(resolve,[$cnf( $equal(inverse(X_12),divide(identity,X_12)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
( multiply(inverse(divide(identity,X_12)),identity) != X_12
| divide(identity,X_12) != inverse(X_12)
| multiply(inverse(inverse(X_12)),identity) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(identity,X_12)),identity),X_12) ),[0,0,0],$fot(inverse(X_12))]]) ).
cnf(refute_0_53,plain,
( multiply(inverse(divide(identity,X_12)),identity) != X_12
| multiply(inverse(inverse(X_12)),identity) = X_12 ),
inference(resolve,[$cnf( $equal(divide(identity,X_12),inverse(X_12)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
multiply(inverse(inverse(X_12)),identity) = X_12,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(identity,X_12)),identity),X_12) )],[refute_0_48,refute_0_53]) ).
cnf(refute_0_55,plain,
divide(inverse(divide(divide(X_8,X_9),X_8)),divide(divide(X_8,X_9),divide(X_8,X_9))) = X_9,
inference(subst,[],[refute_0_24:[bind(X,$fot(divide(X_8,X_9))),bind(Y,$fot(X_8)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_56,plain,
identity = divide(divide(X_8,X_9),divide(X_8,X_9)),
inference(subst,[],[identity:[bind(X,$fot(divide(X_8,X_9)))]]) ).
cnf(refute_0_57,plain,
( identity != divide(divide(X_8,X_9),divide(X_8,X_9))
| divide(divide(X_8,X_9),divide(X_8,X_9)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(divide(X_8,X_9),divide(X_8,X_9))))]]) ).
cnf(refute_0_58,plain,
divide(divide(X_8,X_9),divide(X_8,X_9)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(divide(X_8,X_9),divide(X_8,X_9))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
( divide(divide(X_8,X_9),divide(X_8,X_9)) != identity
| divide(inverse(divide(divide(X_8,X_9),X_8)),divide(divide(X_8,X_9),divide(X_8,X_9))) != X_9
| divide(inverse(divide(divide(X_8,X_9),X_8)),identity) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(X_8,X_9),X_8)),divide(divide(X_8,X_9),divide(X_8,X_9))),X_9) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_60,plain,
( divide(inverse(divide(divide(X_8,X_9),X_8)),divide(divide(X_8,X_9),divide(X_8,X_9))) != X_9
| divide(inverse(divide(divide(X_8,X_9),X_8)),identity) = X_9 ),
inference(resolve,[$cnf( $equal(divide(divide(X_8,X_9),divide(X_8,X_9)),identity) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
divide(inverse(divide(divide(X_8,X_9),X_8)),identity) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(X_8,X_9),X_8)),divide(divide(X_8,X_9),divide(X_8,X_9))),X_9) )],[refute_0_55,refute_0_60]) ).
cnf(refute_0_62,plain,
multiply(X_2,identity) = divide(X_2,inverse(identity)),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_2)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_63,plain,
identity = divide(identity,identity),
inference(subst,[],[identity:[bind(X,$fot(identity))]]) ).
cnf(refute_0_64,plain,
inverse(identity) = divide(identity,identity),
inference(subst,[],[inverse:[bind(X,$fot(identity))]]) ).
cnf(refute_0_65,plain,
( inverse(identity) != divide(identity,identity)
| divide(identity,identity) = inverse(identity) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(identity))),bind(Y0,$fot(divide(identity,identity)))]]) ).
cnf(refute_0_66,plain,
divide(identity,identity) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),divide(identity,identity)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
( divide(identity,identity) != inverse(identity)
| identity != divide(identity,identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(identity,divide(identity,identity)) ),[1],$fot(inverse(identity))]]) ).
cnf(refute_0_68,plain,
( identity != divide(identity,identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(divide(identity,identity),inverse(identity)) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(identity,divide(identity,identity)) )],[refute_0_63,refute_0_68]) ).
cnf(refute_0_70,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(inverse(identity)))]]) ).
cnf(refute_0_71,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| inverse(identity) != identity
| multiply(X_2,identity) = divide(X_2,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_73,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| multiply(X_2,identity) = divide(X_2,identity) ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
multiply(X_2,identity) = divide(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) )],[refute_0_62,refute_0_73]) ).
cnf(refute_0_75,plain,
( multiply(X_2,identity) != divide(X_2,identity)
| divide(X_2,identity) = multiply(X_2,identity) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_2,identity))),bind(Y0,$fot(divide(X_2,identity)))]]) ).
cnf(refute_0_76,plain,
divide(X_2,identity) = multiply(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,identity)) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
divide(inverse(divide(divide(X_8,X_9),X_8)),identity) = multiply(inverse(divide(divide(X_8,X_9),X_8)),identity),
inference(subst,[],[refute_0_76:[bind(X_2,$fot(inverse(divide(divide(X_8,X_9),X_8))))]]) ).
cnf(refute_0_78,plain,
( divide(inverse(divide(divide(X_8,X_9),X_8)),identity) != X_9
| divide(inverse(divide(divide(X_8,X_9),X_8)),identity) != multiply(inverse(divide(divide(X_8,X_9),X_8)),identity)
| multiply(inverse(divide(divide(X_8,X_9),X_8)),identity) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(X_8,X_9),X_8)),identity),X_9) ),[0],$fot(multiply(inverse(divide(divide(X_8,X_9),X_8)),identity))]]) ).
cnf(refute_0_79,plain,
( divide(inverse(divide(divide(X_8,X_9),X_8)),identity) != X_9
| multiply(inverse(divide(divide(X_8,X_9),X_8)),identity) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(X_8,X_9),X_8)),identity),multiply(inverse(divide(divide(X_8,X_9),X_8)),identity)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
multiply(inverse(divide(divide(X_8,X_9),X_8)),identity) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(X_8,X_9),X_8)),identity),X_9) )],[refute_0_61,refute_0_79]) ).
cnf(refute_0_81,plain,
divide(inverse(divide(X_8,X_8)),divide(divide(X_8,X_9),X_8)) = X_9,
inference(subst,[],[refute_0_24:[bind(X,$fot(X_8)),bind(Y,$fot(X_8)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_82,plain,
identity = divide(X_8,X_8),
inference(subst,[],[identity:[bind(X,$fot(X_8))]]) ).
cnf(refute_0_83,plain,
( identity != divide(X_8,X_8)
| divide(X_8,X_8) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(X_8,X_8)))]]) ).
cnf(refute_0_84,plain,
divide(X_8,X_8) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_8,X_8)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
( divide(X_8,X_8) != identity
| divide(inverse(divide(X_8,X_8)),divide(divide(X_8,X_9),X_8)) != X_9
| divide(inverse(identity),divide(divide(X_8,X_9),X_8)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_8,X_8)),divide(divide(X_8,X_9),X_8)),X_9) ),[0,0,0],$fot(identity)]]) ).
cnf(refute_0_86,plain,
( divide(inverse(divide(X_8,X_8)),divide(divide(X_8,X_9),X_8)) != X_9
| divide(inverse(identity),divide(divide(X_8,X_9),X_8)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(X_8,X_8),identity) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
divide(inverse(identity),divide(divide(X_8,X_9),X_8)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_8,X_8)),divide(divide(X_8,X_9),X_8)),X_9) )],[refute_0_81,refute_0_86]) ).
cnf(refute_0_88,plain,
divide(identity,divide(divide(X_8,X_9),X_8)) = inverse(divide(divide(X_8,X_9),X_8)),
inference(subst,[],[refute_0_7:[bind(X,$fot(divide(divide(X_8,X_9),X_8)))]]) ).
cnf(refute_0_89,plain,
divide(inverse(identity),divide(divide(X_8,X_9),X_8)) = divide(inverse(identity),divide(divide(X_8,X_9),X_8)),
introduced(tautology,[refl,[$fot(divide(inverse(identity),divide(divide(X_8,X_9),X_8)))]]) ).
cnf(refute_0_90,plain,
( divide(inverse(identity),divide(divide(X_8,X_9),X_8)) != divide(inverse(identity),divide(divide(X_8,X_9),X_8))
| inverse(identity) != identity
| divide(inverse(identity),divide(divide(X_8,X_9),X_8)) = divide(identity,divide(divide(X_8,X_9),X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(identity),divide(divide(X_8,X_9),X_8)),divide(inverse(identity),divide(divide(X_8,X_9),X_8))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_91,plain,
( inverse(identity) != identity
| divide(inverse(identity),divide(divide(X_8,X_9),X_8)) = divide(identity,divide(divide(X_8,X_9),X_8)) ),
inference(resolve,[$cnf( $equal(divide(inverse(identity),divide(divide(X_8,X_9),X_8)),divide(inverse(identity),divide(divide(X_8,X_9),X_8))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
divide(inverse(identity),divide(divide(X_8,X_9),X_8)) = divide(identity,divide(divide(X_8,X_9),X_8)),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_71,refute_0_91]) ).
cnf(refute_0_93,plain,
( divide(identity,divide(divide(X_8,X_9),X_8)) != inverse(divide(divide(X_8,X_9),X_8))
| divide(inverse(identity),divide(divide(X_8,X_9),X_8)) != divide(identity,divide(divide(X_8,X_9),X_8))
| divide(inverse(identity),divide(divide(X_8,X_9),X_8)) = inverse(divide(divide(X_8,X_9),X_8)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(divide(inverse(identity),divide(divide(X_8,X_9),X_8)))),bind(Y0,$fot(divide(identity,divide(divide(X_8,X_9),X_8)))),bind(Z0,$fot(inverse(divide(divide(X_8,X_9),X_8))))]]) ).
cnf(refute_0_94,plain,
( divide(identity,divide(divide(X_8,X_9),X_8)) != inverse(divide(divide(X_8,X_9),X_8))
| divide(inverse(identity),divide(divide(X_8,X_9),X_8)) = inverse(divide(divide(X_8,X_9),X_8)) ),
inference(resolve,[$cnf( $equal(divide(inverse(identity),divide(divide(X_8,X_9),X_8)),divide(identity,divide(divide(X_8,X_9),X_8))) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
divide(inverse(identity),divide(divide(X_8,X_9),X_8)) = inverse(divide(divide(X_8,X_9),X_8)),
inference(resolve,[$cnf( $equal(divide(identity,divide(divide(X_8,X_9),X_8)),inverse(divide(divide(X_8,X_9),X_8))) )],[refute_0_88,refute_0_94]) ).
cnf(refute_0_96,plain,
( divide(inverse(identity),divide(divide(X_8,X_9),X_8)) != X_9
| divide(inverse(identity),divide(divide(X_8,X_9),X_8)) != inverse(divide(divide(X_8,X_9),X_8))
| inverse(divide(divide(X_8,X_9),X_8)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(identity),divide(divide(X_8,X_9),X_8)),X_9) ),[0],$fot(inverse(divide(divide(X_8,X_9),X_8)))]]) ).
cnf(refute_0_97,plain,
( divide(inverse(identity),divide(divide(X_8,X_9),X_8)) != X_9
| inverse(divide(divide(X_8,X_9),X_8)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(identity),divide(divide(X_8,X_9),X_8)),inverse(divide(divide(X_8,X_9),X_8))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
inverse(divide(divide(X_8,X_9),X_8)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(identity),divide(divide(X_8,X_9),X_8)),X_9) )],[refute_0_87,refute_0_97]) ).
cnf(refute_0_99,plain,
multiply(inverse(divide(divide(X_8,X_9),X_8)),identity) = multiply(inverse(divide(divide(X_8,X_9),X_8)),identity),
introduced(tautology,[refl,[$fot(multiply(inverse(divide(divide(X_8,X_9),X_8)),identity))]]) ).
cnf(refute_0_100,plain,
( multiply(inverse(divide(divide(X_8,X_9),X_8)),identity) != multiply(inverse(divide(divide(X_8,X_9),X_8)),identity)
| inverse(divide(divide(X_8,X_9),X_8)) != X_9
| multiply(inverse(divide(divide(X_8,X_9),X_8)),identity) = multiply(X_9,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(divide(X_8,X_9),X_8)),identity),multiply(inverse(divide(divide(X_8,X_9),X_8)),identity)) ),[1,0],$fot(X_9)]]) ).
cnf(refute_0_101,plain,
( inverse(divide(divide(X_8,X_9),X_8)) != X_9
| multiply(inverse(divide(divide(X_8,X_9),X_8)),identity) = multiply(X_9,identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(X_8,X_9),X_8)),identity),multiply(inverse(divide(divide(X_8,X_9),X_8)),identity)) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
multiply(inverse(divide(divide(X_8,X_9),X_8)),identity) = multiply(X_9,identity),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_8,X_9),X_8)),X_9) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
( multiply(inverse(divide(divide(X_8,X_9),X_8)),identity) != X_9
| multiply(inverse(divide(divide(X_8,X_9),X_8)),identity) != multiply(X_9,identity)
| multiply(X_9,identity) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(divide(X_8,X_9),X_8)),identity),X_9) ),[0],$fot(multiply(X_9,identity))]]) ).
cnf(refute_0_104,plain,
( multiply(inverse(divide(divide(X_8,X_9),X_8)),identity) != X_9
| multiply(X_9,identity) = X_9 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(X_8,X_9),X_8)),identity),multiply(X_9,identity)) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
multiply(X_9,identity) = X_9,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(X_8,X_9),X_8)),identity),X_9) )],[refute_0_80,refute_0_104]) ).
cnf(refute_0_106,plain,
multiply(inverse(inverse(X_12)),identity) = inverse(inverse(X_12)),
inference(subst,[],[refute_0_105:[bind(X_9,$fot(inverse(inverse(X_12))))]]) ).
cnf(refute_0_107,plain,
( multiply(inverse(inverse(X_12)),identity) != X_12
| multiply(inverse(inverse(X_12)),identity) != inverse(inverse(X_12))
| inverse(inverse(X_12)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_12)),identity),X_12) ),[0],$fot(inverse(inverse(X_12)))]]) ).
cnf(refute_0_108,plain,
( multiply(inverse(inverse(X_12)),identity) != X_12
| inverse(inverse(X_12)) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_12)),identity),inverse(inverse(X_12))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
inverse(inverse(X_12)) = X_12,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_12)),identity),X_12) )],[refute_0_54,refute_0_108]) ).
cnf(refute_0_110,plain,
inverse(inverse(X_13)) = X_13,
inference(subst,[],[refute_0_109:[bind(X_12,$fot(X_13))]]) ).
cnf(refute_0_111,plain,
( multiply(X,inverse(X_13)) != divide(X,inverse(inverse(X_13)))
| inverse(inverse(X_13)) != X_13
| multiply(X,inverse(X_13)) = divide(X,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(X_13)),divide(X,inverse(inverse(X_13)))) ),[1,1],$fot(X_13)]]) ).
cnf(refute_0_112,plain,
( multiply(X,inverse(X_13)) != divide(X,inverse(inverse(X_13)))
| multiply(X,inverse(X_13)) = divide(X,X_13) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
multiply(X,inverse(X_13)) = divide(X,X_13),
inference(resolve,[$cnf( $equal(multiply(X,inverse(X_13)),divide(X,inverse(inverse(X_13)))) )],[refute_0_16,refute_0_112]) ).
cnf(refute_0_114,plain,
multiply(a1,inverse(a1)) = divide(a1,a1),
inference(subst,[],[refute_0_113:[bind(X,$fot(a1)),bind(X_13,$fot(a1))]]) ).
cnf(refute_0_115,plain,
( multiply(a1,inverse(a1)) != divide(a1,a1)
| divide(a1,a1) != identity
| multiply(a1,inverse(a1)) = identity ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(a1,inverse(a1)))),bind(Y0,$fot(divide(a1,a1))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_116,plain,
( divide(a1,a1) != identity
| multiply(a1,inverse(a1)) = identity ),
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),divide(a1,a1)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
multiply(a1,inverse(a1)) = identity,
inference(resolve,[$cnf( $equal(divide(a1,a1),identity) )],[refute_0_5,refute_0_116]) ).
cnf(refute_0_118,plain,
divide(inverse(divide(X_7,inverse(Y))),divide(divide(inverse(Y),X_9),X_7)) = X_9,
inference(subst,[],[refute_0_24:[bind(X,$fot(X_7)),bind(Y,$fot(inverse(Y))),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_119,plain,
multiply(X_7,Y) = divide(X_7,inverse(Y)),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_7))]]) ).
cnf(refute_0_120,plain,
( multiply(X_7,Y) != divide(X_7,inverse(Y))
| divide(X_7,inverse(Y)) = multiply(X_7,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_7,Y))),bind(Y0,$fot(divide(X_7,inverse(Y))))]]) ).
cnf(refute_0_121,plain,
divide(X_7,inverse(Y)) = multiply(X_7,Y),
inference(resolve,[$cnf( $equal(multiply(X_7,Y),divide(X_7,inverse(Y))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
( divide(X_7,inverse(Y)) != multiply(X_7,Y)
| divide(inverse(divide(X_7,inverse(Y))),divide(divide(inverse(Y),X_9),X_7)) != X_9
| divide(inverse(multiply(X_7,Y)),divide(divide(inverse(Y),X_9),X_7)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_7,inverse(Y))),divide(divide(inverse(Y),X_9),X_7)),X_9) ),[0,0,0],$fot(multiply(X_7,Y))]]) ).
cnf(refute_0_123,plain,
( divide(inverse(divide(X_7,inverse(Y))),divide(divide(inverse(Y),X_9),X_7)) != X_9
| divide(inverse(multiply(X_7,Y)),divide(divide(inverse(Y),X_9),X_7)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(X_7,inverse(Y)),multiply(X_7,Y)) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
divide(inverse(multiply(X_7,Y)),divide(divide(inverse(Y),X_9),X_7)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,inverse(Y))),divide(divide(inverse(Y),X_9),X_7)),X_9) )],[refute_0_118,refute_0_123]) ).
cnf(refute_0_125,plain,
divide(divide(X_9,Y),inverse(Y)) = multiply(divide(X_9,Y),Y),
inference(subst,[],[refute_0_33:[bind(X,$fot(divide(X_9,Y)))]]) ).
cnf(refute_0_126,plain,
multiply(inverse(divide(inverse(divide(X,Y)),divide(divide(Y,Z),X))),inverse(divide(X,Y))) = divide(divide(Y,Z),X),
inference(subst,[],[refute_0_47:[bind(X_7,$fot(inverse(divide(X,Y)))),bind(X_9,$fot(divide(divide(Y,Z),X)))]]) ).
cnf(refute_0_127,plain,
( multiply(inverse(divide(inverse(divide(X,Y)),divide(divide(Y,Z),X))),inverse(divide(X,Y))) != divide(divide(Y,Z),X)
| divide(inverse(divide(X,Y)),divide(divide(Y,Z),X)) != Z
| multiply(inverse(Z),inverse(divide(X,Y))) = divide(divide(Y,Z),X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(inverse(divide(X,Y)),divide(divide(Y,Z),X))),inverse(divide(X,Y))),divide(divide(Y,Z),X)) ),[0,0,0],$fot(Z)]]) ).
cnf(refute_0_128,plain,
( multiply(inverse(divide(inverse(divide(X,Y)),divide(divide(Y,Z),X))),inverse(divide(X,Y))) != divide(divide(Y,Z),X)
| multiply(inverse(Z),inverse(divide(X,Y))) = divide(divide(Y,Z),X) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X,Y)),divide(divide(Y,Z),X)),Z) )],[refute_0_24,refute_0_127]) ).
cnf(refute_0_129,plain,
multiply(inverse(Z),inverse(divide(X,Y))) = divide(divide(Y,Z),X),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(inverse(divide(X,Y)),divide(divide(Y,Z),X))),inverse(divide(X,Y))),divide(divide(Y,Z),X)) )],[refute_0_126,refute_0_128]) ).
cnf(refute_0_130,plain,
multiply(inverse(Z),inverse(divide(X,Y))) = divide(inverse(Z),divide(X,Y)),
inference(subst,[],[refute_0_113:[bind(X,$fot(inverse(Z))),bind(X_13,$fot(divide(X,Y)))]]) ).
cnf(refute_0_131,plain,
( multiply(inverse(Z),inverse(divide(X,Y))) != divide(divide(Y,Z),X)
| multiply(inverse(Z),inverse(divide(X,Y))) != divide(inverse(Z),divide(X,Y))
| divide(inverse(Z),divide(X,Y)) = divide(divide(Y,Z),X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Z),inverse(divide(X,Y))),divide(divide(Y,Z),X)) ),[0],$fot(divide(inverse(Z),divide(X,Y)))]]) ).
cnf(refute_0_132,plain,
( multiply(inverse(Z),inverse(divide(X,Y))) != divide(divide(Y,Z),X)
| divide(inverse(Z),divide(X,Y)) = divide(divide(Y,Z),X) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Z),inverse(divide(X,Y))),divide(inverse(Z),divide(X,Y))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
divide(inverse(Z),divide(X,Y)) = divide(divide(Y,Z),X),
inference(resolve,[$cnf( $equal(multiply(inverse(Z),inverse(divide(X,Y))),divide(divide(Y,Z),X)) )],[refute_0_129,refute_0_132]) ).
cnf(refute_0_134,plain,
divide(inverse(Y),divide(inverse(Y),X_9)) = divide(divide(X_9,Y),inverse(Y)),
inference(subst,[],[refute_0_133:[bind(X,$fot(inverse(Y))),bind(Y,$fot(X_9)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_135,plain,
( divide(divide(X_9,Y),inverse(Y)) != multiply(divide(X_9,Y),Y)
| divide(inverse(Y),divide(inverse(Y),X_9)) != divide(divide(X_9,Y),inverse(Y))
| divide(inverse(Y),divide(inverse(Y),X_9)) = multiply(divide(X_9,Y),Y) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(divide(inverse(Y),divide(inverse(Y),X_9)))),bind(Y0,$fot(divide(divide(X_9,Y),inverse(Y)))),bind(Z0,$fot(multiply(divide(X_9,Y),Y)))]]) ).
cnf(refute_0_136,plain,
( divide(divide(X_9,Y),inverse(Y)) != multiply(divide(X_9,Y),Y)
| divide(inverse(Y),divide(inverse(Y),X_9)) = multiply(divide(X_9,Y),Y) ),
inference(resolve,[$cnf( $equal(divide(inverse(Y),divide(inverse(Y),X_9)),divide(divide(X_9,Y),inverse(Y))) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
divide(inverse(Y),divide(inverse(Y),X_9)) = multiply(divide(X_9,Y),Y),
inference(resolve,[$cnf( $equal(divide(divide(X_9,Y),inverse(Y)),multiply(divide(X_9,Y),Y)) )],[refute_0_125,refute_0_136]) ).
cnf(refute_0_138,plain,
divide(inverse(divide(X_7,X_8)),divide(divide(X_8,inverse(Y)),X_7)) = inverse(Y),
inference(subst,[],[refute_0_24:[bind(X,$fot(X_7)),bind(Y,$fot(X_8)),bind(Z,$fot(inverse(Y)))]]) ).
cnf(refute_0_139,plain,
multiply(X_8,Y) = divide(X_8,inverse(Y)),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_8))]]) ).
cnf(refute_0_140,plain,
( multiply(X_8,Y) != divide(X_8,inverse(Y))
| divide(X_8,inverse(Y)) = multiply(X_8,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_8,Y))),bind(Y0,$fot(divide(X_8,inverse(Y))))]]) ).
cnf(refute_0_141,plain,
divide(X_8,inverse(Y)) = multiply(X_8,Y),
inference(resolve,[$cnf( $equal(multiply(X_8,Y),divide(X_8,inverse(Y))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
( divide(X_8,inverse(Y)) != multiply(X_8,Y)
| divide(inverse(divide(X_7,X_8)),divide(divide(X_8,inverse(Y)),X_7)) != inverse(Y)
| divide(inverse(divide(X_7,X_8)),divide(multiply(X_8,Y),X_7)) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_7,X_8)),divide(divide(X_8,inverse(Y)),X_7)),inverse(Y)) ),[0,1,0],$fot(multiply(X_8,Y))]]) ).
cnf(refute_0_143,plain,
( divide(inverse(divide(X_7,X_8)),divide(divide(X_8,inverse(Y)),X_7)) != inverse(Y)
| divide(inverse(divide(X_7,X_8)),divide(multiply(X_8,Y),X_7)) = inverse(Y) ),
inference(resolve,[$cnf( $equal(divide(X_8,inverse(Y)),multiply(X_8,Y)) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
divide(inverse(divide(X_7,X_8)),divide(multiply(X_8,Y),X_7)) = inverse(Y),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,X_8)),divide(divide(X_8,inverse(Y)),X_7)),inverse(Y)) )],[refute_0_138,refute_0_143]) ).
cnf(refute_0_145,plain,
divide(inverse(divide(identity,X_8)),divide(divide(X_8,X_9),identity)) = X_9,
inference(subst,[],[refute_0_24:[bind(X,$fot(identity)),bind(Y,$fot(X_8)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_146,plain,
multiply(divide(X_8,X_9),identity) = divide(divide(X_8,X_9),identity),
inference(subst,[],[refute_0_74:[bind(X_2,$fot(divide(X_8,X_9)))]]) ).
cnf(refute_0_147,plain,
( multiply(divide(X_8,X_9),identity) != divide(divide(X_8,X_9),identity)
| divide(divide(X_8,X_9),identity) = multiply(divide(X_8,X_9),identity) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(divide(X_8,X_9),identity))),bind(Y0,$fot(divide(divide(X_8,X_9),identity)))]]) ).
cnf(refute_0_148,plain,
divide(divide(X_8,X_9),identity) = multiply(divide(X_8,X_9),identity),
inference(resolve,[$cnf( $equal(multiply(divide(X_8,X_9),identity),divide(divide(X_8,X_9),identity)) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
( divide(divide(X_8,X_9),identity) != multiply(divide(X_8,X_9),identity)
| divide(inverse(divide(identity,X_8)),divide(divide(X_8,X_9),identity)) != X_9
| divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(identity,X_8)),divide(divide(X_8,X_9),identity)),X_9) ),[0,1],$fot(multiply(divide(X_8,X_9),identity))]]) ).
cnf(refute_0_150,plain,
( divide(inverse(divide(identity,X_8)),divide(divide(X_8,X_9),identity)) != X_9
| divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(divide(X_8,X_9),identity),multiply(divide(X_8,X_9),identity)) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,X_8)),divide(divide(X_8,X_9),identity)),X_9) )],[refute_0_145,refute_0_150]) ).
cnf(refute_0_152,plain,
divide(identity,X_8) = inverse(X_8),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_8))]]) ).
cnf(refute_0_153,plain,
inverse(divide(identity,X_8)) = inverse(divide(identity,X_8)),
introduced(tautology,[refl,[$fot(inverse(divide(identity,X_8)))]]) ).
cnf(refute_0_154,plain,
( divide(identity,X_8) != inverse(X_8)
| inverse(divide(identity,X_8)) != inverse(divide(identity,X_8))
| inverse(divide(identity,X_8)) = inverse(inverse(X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(identity,X_8)),inverse(divide(identity,X_8))) ),[1,0],$fot(inverse(X_8))]]) ).
cnf(refute_0_155,plain,
( divide(identity,X_8) != inverse(X_8)
| inverse(divide(identity,X_8)) = inverse(inverse(X_8)) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_8)),inverse(divide(identity,X_8))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
inverse(divide(identity,X_8)) = inverse(inverse(X_8)),
inference(resolve,[$cnf( $equal(divide(identity,X_8),inverse(X_8)) )],[refute_0_152,refute_0_155]) ).
cnf(refute_0_157,plain,
divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity)) = divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity)),
introduced(tautology,[refl,[$fot(divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity)))]]) ).
cnf(refute_0_158,plain,
( divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity)) != divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity))
| inverse(divide(identity,X_8)) != inverse(inverse(X_8))
| divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity)) = divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity)),divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity))) ),[1,0],$fot(inverse(inverse(X_8)))]]) ).
cnf(refute_0_159,plain,
( inverse(divide(identity,X_8)) != inverse(inverse(X_8))
| divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity)) = divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity)),divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity)) = divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_8)),inverse(inverse(X_8))) )],[refute_0_156,refute_0_159]) ).
cnf(refute_0_161,plain,
( divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity)) != X_9
| divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity)) != divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity))
| divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity)),X_9) ),[0],$fot(divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)))]]) ).
cnf(refute_0_162,plain,
( divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity)) != X_9
| divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity)),divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,X_8)),multiply(divide(X_8,X_9),identity)),X_9) )],[refute_0_151,refute_0_162]) ).
cnf(refute_0_164,plain,
multiply(divide(X_8,X_9),identity) = divide(X_8,X_9),
inference(subst,[],[refute_0_105:[bind(X_9,$fot(divide(X_8,X_9)))]]) ).
cnf(refute_0_165,plain,
divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)) = divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)))]]) ).
cnf(refute_0_166,plain,
( multiply(divide(X_8,X_9),identity) != divide(X_8,X_9)
| divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)) != divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity))
| divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)) = divide(inverse(inverse(X_8)),divide(X_8,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)),divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity))) ),[1,1],$fot(divide(X_8,X_9))]]) ).
cnf(refute_0_167,plain,
( multiply(divide(X_8,X_9),identity) != divide(X_8,X_9)
| divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)) = divide(inverse(inverse(X_8)),divide(X_8,X_9)) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)),divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)) = divide(inverse(inverse(X_8)),divide(X_8,X_9)),
inference(resolve,[$cnf( $equal(multiply(divide(X_8,X_9),identity),divide(X_8,X_9)) )],[refute_0_164,refute_0_167]) ).
cnf(refute_0_169,plain,
( divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)) != X_9
| divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)) != divide(inverse(inverse(X_8)),divide(X_8,X_9))
| divide(inverse(inverse(X_8)),divide(X_8,X_9)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)),X_9) ),[0],$fot(divide(inverse(inverse(X_8)),divide(X_8,X_9)))]]) ).
cnf(refute_0_170,plain,
( divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)) != X_9
| divide(inverse(inverse(X_8)),divide(X_8,X_9)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)),divide(inverse(inverse(X_8)),divide(X_8,X_9))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
divide(inverse(inverse(X_8)),divide(X_8,X_9)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_8)),multiply(divide(X_8,X_9),identity)),X_9) )],[refute_0_163,refute_0_170]) ).
cnf(refute_0_172,plain,
inverse(inverse(X_8)) = X_8,
inference(subst,[],[refute_0_109:[bind(X_12,$fot(X_8))]]) ).
cnf(refute_0_173,plain,
divide(inverse(inverse(X_8)),divide(X_8,X_9)) = divide(inverse(inverse(X_8)),divide(X_8,X_9)),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(X_8)),divide(X_8,X_9)))]]) ).
cnf(refute_0_174,plain,
( divide(inverse(inverse(X_8)),divide(X_8,X_9)) != divide(inverse(inverse(X_8)),divide(X_8,X_9))
| inverse(inverse(X_8)) != X_8
| divide(inverse(inverse(X_8)),divide(X_8,X_9)) = divide(X_8,divide(X_8,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_8)),divide(X_8,X_9)),divide(inverse(inverse(X_8)),divide(X_8,X_9))) ),[1,0],$fot(X_8)]]) ).
cnf(refute_0_175,plain,
( inverse(inverse(X_8)) != X_8
| divide(inverse(inverse(X_8)),divide(X_8,X_9)) = divide(X_8,divide(X_8,X_9)) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_8)),divide(X_8,X_9)),divide(inverse(inverse(X_8)),divide(X_8,X_9))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
divide(inverse(inverse(X_8)),divide(X_8,X_9)) = divide(X_8,divide(X_8,X_9)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_8)),X_8) )],[refute_0_172,refute_0_175]) ).
cnf(refute_0_177,plain,
( divide(inverse(inverse(X_8)),divide(X_8,X_9)) != X_9
| divide(inverse(inverse(X_8)),divide(X_8,X_9)) != divide(X_8,divide(X_8,X_9))
| divide(X_8,divide(X_8,X_9)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_8)),divide(X_8,X_9)),X_9) ),[0],$fot(divide(X_8,divide(X_8,X_9)))]]) ).
cnf(refute_0_178,plain,
( divide(inverse(inverse(X_8)),divide(X_8,X_9)) != X_9
| divide(X_8,divide(X_8,X_9)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_8)),divide(X_8,X_9)),divide(X_8,divide(X_8,X_9))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
divide(X_8,divide(X_8,X_9)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_8)),divide(X_8,X_9)),X_9) )],[refute_0_171,refute_0_178]) ).
cnf(refute_0_180,plain,
divide(X_7,divide(X_7,X_8)) = X_8,
inference(subst,[],[refute_0_179:[bind(X_8,$fot(X_7)),bind(X_9,$fot(X_8))]]) ).
cnf(refute_0_181,plain,
divide(divide(X_7,divide(X_7,X_8)),multiply(X_8,Y)) = divide(divide(X_7,divide(X_7,X_8)),multiply(X_8,Y)),
introduced(tautology,[refl,[$fot(divide(divide(X_7,divide(X_7,X_8)),multiply(X_8,Y)))]]) ).
cnf(refute_0_182,plain,
( divide(X_7,divide(X_7,X_8)) != X_8
| divide(divide(X_7,divide(X_7,X_8)),multiply(X_8,Y)) != divide(divide(X_7,divide(X_7,X_8)),multiply(X_8,Y))
| divide(divide(X_7,divide(X_7,X_8)),multiply(X_8,Y)) = divide(X_8,multiply(X_8,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_7,divide(X_7,X_8)),multiply(X_8,Y)),divide(divide(X_7,divide(X_7,X_8)),multiply(X_8,Y))) ),[1,0],$fot(X_8)]]) ).
cnf(refute_0_183,plain,
( divide(X_7,divide(X_7,X_8)) != X_8
| divide(divide(X_7,divide(X_7,X_8)),multiply(X_8,Y)) = divide(X_8,multiply(X_8,Y)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_7,divide(X_7,X_8)),multiply(X_8,Y)),divide(divide(X_7,divide(X_7,X_8)),multiply(X_8,Y))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
divide(divide(X_7,divide(X_7,X_8)),multiply(X_8,Y)) = divide(X_8,multiply(X_8,Y)),
inference(resolve,[$cnf( $equal(divide(X_7,divide(X_7,X_8)),X_8) )],[refute_0_180,refute_0_183]) ).
cnf(refute_0_185,plain,
divide(inverse(divide(X_7,X_8)),divide(multiply(X_8,Y),X_7)) = divide(divide(X_7,divide(X_7,X_8)),multiply(X_8,Y)),
inference(subst,[],[refute_0_133:[bind(X,$fot(multiply(X_8,Y))),bind(Y,$fot(X_7)),bind(Z,$fot(divide(X_7,X_8)))]]) ).
cnf(refute_0_186,plain,
( divide(divide(X_7,divide(X_7,X_8)),multiply(X_8,Y)) != divide(X_8,multiply(X_8,Y))
| divide(inverse(divide(X_7,X_8)),divide(multiply(X_8,Y),X_7)) != divide(divide(X_7,divide(X_7,X_8)),multiply(X_8,Y))
| divide(inverse(divide(X_7,X_8)),divide(multiply(X_8,Y),X_7)) = divide(X_8,multiply(X_8,Y)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(divide(inverse(divide(X_7,X_8)),divide(multiply(X_8,Y),X_7)))),bind(Y0,$fot(divide(divide(X_7,divide(X_7,X_8)),multiply(X_8,Y)))),bind(Z0,$fot(divide(X_8,multiply(X_8,Y))))]]) ).
cnf(refute_0_187,plain,
( divide(divide(X_7,divide(X_7,X_8)),multiply(X_8,Y)) != divide(X_8,multiply(X_8,Y))
| divide(inverse(divide(X_7,X_8)),divide(multiply(X_8,Y),X_7)) = divide(X_8,multiply(X_8,Y)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,X_8)),divide(multiply(X_8,Y),X_7)),divide(divide(X_7,divide(X_7,X_8)),multiply(X_8,Y))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
divide(inverse(divide(X_7,X_8)),divide(multiply(X_8,Y),X_7)) = divide(X_8,multiply(X_8,Y)),
inference(resolve,[$cnf( $equal(divide(divide(X_7,divide(X_7,X_8)),multiply(X_8,Y)),divide(X_8,multiply(X_8,Y))) )],[refute_0_184,refute_0_187]) ).
cnf(refute_0_189,plain,
( divide(inverse(divide(X_7,X_8)),divide(multiply(X_8,Y),X_7)) != divide(X_8,multiply(X_8,Y))
| divide(inverse(divide(X_7,X_8)),divide(multiply(X_8,Y),X_7)) != inverse(Y)
| divide(X_8,multiply(X_8,Y)) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_7,X_8)),divide(multiply(X_8,Y),X_7)),inverse(Y)) ),[0],$fot(divide(X_8,multiply(X_8,Y)))]]) ).
cnf(refute_0_190,plain,
( divide(inverse(divide(X_7,X_8)),divide(multiply(X_8,Y),X_7)) != inverse(Y)
| divide(X_8,multiply(X_8,Y)) = inverse(Y) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,X_8)),divide(multiply(X_8,Y),X_7)),divide(X_8,multiply(X_8,Y))) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
divide(X_8,multiply(X_8,Y)) = inverse(Y),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,X_8)),divide(multiply(X_8,Y),X_7)),inverse(Y)) )],[refute_0_144,refute_0_190]) ).
cnf(refute_0_192,plain,
divide(X_7,multiply(X_7,Y)) = inverse(Y),
inference(subst,[],[refute_0_191:[bind(X_8,$fot(X_7))]]) ).
cnf(refute_0_193,plain,
divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9)) = divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9)),
introduced(tautology,[refl,[$fot(divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9)))]]) ).
cnf(refute_0_194,plain,
( divide(X_7,multiply(X_7,Y)) != inverse(Y)
| divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9)) != divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9))
| divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9)) = divide(inverse(Y),divide(inverse(Y),X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9)),divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9))) ),[1,0],$fot(inverse(Y))]]) ).
cnf(refute_0_195,plain,
( divide(X_7,multiply(X_7,Y)) != inverse(Y)
| divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9)) = divide(inverse(Y),divide(inverse(Y),X_9)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9)),divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9)) = divide(inverse(Y),divide(inverse(Y),X_9)),
inference(resolve,[$cnf( $equal(divide(X_7,multiply(X_7,Y)),inverse(Y)) )],[refute_0_192,refute_0_195]) ).
cnf(refute_0_197,plain,
( divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9)) != divide(inverse(Y),divide(inverse(Y),X_9))
| divide(inverse(Y),divide(inverse(Y),X_9)) != multiply(divide(X_9,Y),Y)
| divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9)) = multiply(divide(X_9,Y),Y) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9)))),bind(Y0,$fot(divide(inverse(Y),divide(inverse(Y),X_9)))),bind(Z0,$fot(multiply(divide(X_9,Y),Y)))]]) ).
cnf(refute_0_198,plain,
( divide(inverse(Y),divide(inverse(Y),X_9)) != multiply(divide(X_9,Y),Y)
| divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9)) = multiply(divide(X_9,Y),Y) ),
inference(resolve,[$cnf( $equal(divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9)),divide(inverse(Y),divide(inverse(Y),X_9))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9)) = multiply(divide(X_9,Y),Y),
inference(resolve,[$cnf( $equal(divide(inverse(Y),divide(inverse(Y),X_9)),multiply(divide(X_9,Y),Y)) )],[refute_0_137,refute_0_198]) ).
cnf(refute_0_200,plain,
divide(inverse(multiply(X_7,Y)),divide(divide(inverse(Y),X_9),X_7)) = divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9)),
inference(subst,[],[refute_0_133:[bind(X,$fot(divide(inverse(Y),X_9))),bind(Y,$fot(X_7)),bind(Z,$fot(multiply(X_7,Y)))]]) ).
cnf(refute_0_201,plain,
( divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9)) != multiply(divide(X_9,Y),Y)
| divide(inverse(multiply(X_7,Y)),divide(divide(inverse(Y),X_9),X_7)) != divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9))
| divide(inverse(multiply(X_7,Y)),divide(divide(inverse(Y),X_9),X_7)) = multiply(divide(X_9,Y),Y) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(divide(inverse(multiply(X_7,Y)),divide(divide(inverse(Y),X_9),X_7)))),bind(Y0,$fot(divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9)))),bind(Z0,$fot(multiply(divide(X_9,Y),Y)))]]) ).
cnf(refute_0_202,plain,
( divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9)) != multiply(divide(X_9,Y),Y)
| divide(inverse(multiply(X_7,Y)),divide(divide(inverse(Y),X_9),X_7)) = multiply(divide(X_9,Y),Y) ),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(X_7,Y)),divide(divide(inverse(Y),X_9),X_7)),divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
divide(inverse(multiply(X_7,Y)),divide(divide(inverse(Y),X_9),X_7)) = multiply(divide(X_9,Y),Y),
inference(resolve,[$cnf( $equal(divide(divide(X_7,multiply(X_7,Y)),divide(inverse(Y),X_9)),multiply(divide(X_9,Y),Y)) )],[refute_0_199,refute_0_202]) ).
cnf(refute_0_204,plain,
( divide(inverse(multiply(X_7,Y)),divide(divide(inverse(Y),X_9),X_7)) != X_9
| divide(inverse(multiply(X_7,Y)),divide(divide(inverse(Y),X_9),X_7)) != multiply(divide(X_9,Y),Y)
| multiply(divide(X_9,Y),Y) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(multiply(X_7,Y)),divide(divide(inverse(Y),X_9),X_7)),X_9) ),[0],$fot(multiply(divide(X_9,Y),Y))]]) ).
cnf(refute_0_205,plain,
( divide(inverse(multiply(X_7,Y)),divide(divide(inverse(Y),X_9),X_7)) != X_9
| multiply(divide(X_9,Y),Y) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(X_7,Y)),divide(divide(inverse(Y),X_9),X_7)),multiply(divide(X_9,Y),Y)) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
multiply(divide(X_9,Y),Y) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(multiply(X_7,Y)),divide(divide(inverse(Y),X_9),X_7)),X_9) )],[refute_0_124,refute_0_205]) ).
cnf(refute_0_207,plain,
multiply(inverse(divide(X_7,divide(X_7,X_16))),X_7) = divide(X_7,X_16),
inference(subst,[],[refute_0_47:[bind(X_9,$fot(divide(X_7,X_16)))]]) ).
cnf(refute_0_208,plain,
divide(X_7,divide(X_7,X_16)) = X_16,
inference(subst,[],[refute_0_179:[bind(X_8,$fot(X_7)),bind(X_9,$fot(X_16))]]) ).
cnf(refute_0_209,plain,
( multiply(inverse(divide(X_7,divide(X_7,X_16))),X_7) != divide(X_7,X_16)
| divide(X_7,divide(X_7,X_16)) != X_16
| multiply(inverse(X_16),X_7) = divide(X_7,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_7,X_16))),X_7),divide(X_7,X_16)) ),[0,0,0],$fot(X_16)]]) ).
cnf(refute_0_210,plain,
( multiply(inverse(divide(X_7,divide(X_7,X_16))),X_7) != divide(X_7,X_16)
| multiply(inverse(X_16),X_7) = divide(X_7,X_16) ),
inference(resolve,[$cnf( $equal(divide(X_7,divide(X_7,X_16)),X_16) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
multiply(inverse(X_16),X_7) = divide(X_7,X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_7,X_16))),X_7),divide(X_7,X_16)) )],[refute_0_207,refute_0_210]) ).
cnf(refute_0_212,plain,
multiply(inverse(inverse(X_12)),X_20) = divide(X_20,inverse(X_12)),
inference(subst,[],[refute_0_211:[bind(X_16,$fot(inverse(X_12))),bind(X_7,$fot(X_20))]]) ).
cnf(refute_0_213,plain,
( multiply(inverse(inverse(X_12)),X_20) != divide(X_20,inverse(X_12))
| inverse(inverse(X_12)) != X_12
| multiply(X_12,X_20) = divide(X_20,inverse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_12)),X_20),divide(X_20,inverse(X_12))) ),[0,0],$fot(X_12)]]) ).
cnf(refute_0_214,plain,
( multiply(inverse(inverse(X_12)),X_20) != divide(X_20,inverse(X_12))
| multiply(X_12,X_20) = divide(X_20,inverse(X_12)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_12)),X_12) )],[refute_0_109,refute_0_213]) ).
cnf(refute_0_215,plain,
multiply(X_12,X_20) = divide(X_20,inverse(X_12)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_12)),X_20),divide(X_20,inverse(X_12))) )],[refute_0_212,refute_0_214]) ).
cnf(refute_0_216,plain,
divide(X_20,inverse(X_12)) = multiply(X_20,X_12),
inference(subst,[],[refute_0_33:[bind(X,$fot(X_20)),bind(Y,$fot(X_12))]]) ).
cnf(refute_0_217,plain,
( multiply(X_12,X_20) != divide(X_20,inverse(X_12))
| divide(X_20,inverse(X_12)) != multiply(X_20,X_12)
| multiply(X_12,X_20) = multiply(X_20,X_12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_12,X_20),multiply(X_20,X_12)) ),[0],$fot(divide(X_20,inverse(X_12)))]]) ).
cnf(refute_0_218,plain,
( multiply(X_12,X_20) != divide(X_20,inverse(X_12))
| multiply(X_12,X_20) = multiply(X_20,X_12) ),
inference(resolve,[$cnf( $equal(divide(X_20,inverse(X_12)),multiply(X_20,X_12)) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
multiply(X_12,X_20) = multiply(X_20,X_12),
inference(resolve,[$cnf( $equal(multiply(X_12,X_20),divide(X_20,inverse(X_12))) )],[refute_0_215,refute_0_218]) ).
cnf(refute_0_220,plain,
( multiply(X_12,X_20) != multiply(X_20,X_12)
| multiply(X_20,X_12) = multiply(X_12,X_20) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_12,X_20))),bind(Y0,$fot(multiply(X_20,X_12)))]]) ).
cnf(refute_0_221,plain,
multiply(X_20,X_12) = multiply(X_12,X_20),
inference(resolve,[$cnf( $equal(multiply(X_12,X_20),multiply(X_20,X_12)) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
multiply(divide(X_9,Y),Y) = multiply(Y,divide(X_9,Y)),
inference(subst,[],[refute_0_221:[bind(X_12,$fot(Y)),bind(X_20,$fot(divide(X_9,Y)))]]) ).
cnf(refute_0_223,plain,
( multiply(divide(X_9,Y),Y) != X_9
| multiply(divide(X_9,Y),Y) != multiply(Y,divide(X_9,Y))
| multiply(Y,divide(X_9,Y)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_9,Y),Y),X_9) ),[0],$fot(multiply(Y,divide(X_9,Y)))]]) ).
cnf(refute_0_224,plain,
( multiply(divide(X_9,Y),Y) != X_9
| multiply(Y,divide(X_9,Y)) = X_9 ),
inference(resolve,[$cnf( $equal(multiply(divide(X_9,Y),Y),multiply(Y,divide(X_9,Y))) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
multiply(Y,divide(X_9,Y)) = X_9,
inference(resolve,[$cnf( $equal(multiply(divide(X_9,Y),Y),X_9) )],[refute_0_206,refute_0_224]) ).
cnf(refute_0_226,plain,
multiply(Y,divide(divide(multiply(X_60,multiply(X_61,Y)),X_61),Y)) = divide(multiply(X_60,multiply(X_61,Y)),X_61),
inference(subst,[],[refute_0_225:[bind(X_9,$fot(divide(multiply(X_60,multiply(X_61,Y)),X_61)))]]) ).
cnf(refute_0_227,plain,
divide(inverse(divide(inverse(divide(X_7,X_8)),divide(divide(X_8,X_9),X_7))),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))) = Z,
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(divide(X_7,X_8)))),bind(Y,$fot(divide(divide(X_8,X_9),X_7)))]]) ).
cnf(refute_0_228,plain,
divide(inverse(divide(X_7,X_8)),divide(divide(X_8,X_9),X_7)) = X_9,
inference(subst,[],[refute_0_24:[bind(X,$fot(X_7)),bind(Y,$fot(X_8)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_229,plain,
( divide(inverse(divide(X_7,X_8)),divide(divide(X_8,X_9),X_7)) != X_9
| divide(inverse(divide(inverse(divide(X_7,X_8)),divide(divide(X_8,X_9),X_7))),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))) != Z
| divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(divide(X_7,X_8)),divide(divide(X_8,X_9),X_7))),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))),Z) ),[0,0,0],$fot(X_9)]]) ).
cnf(refute_0_230,plain,
( divide(inverse(divide(inverse(divide(X_7,X_8)),divide(divide(X_8,X_9),X_7))),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))) != Z
| divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))) = Z ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,X_8)),divide(divide(X_8,X_9),X_7)),X_9) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))) = Z,
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(divide(X_7,X_8)),divide(divide(X_8,X_9),X_7))),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))),Z) )],[refute_0_227,refute_0_230]) ).
cnf(refute_0_232,plain,
divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8))) = multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8)),
inference(subst,[],[refute_0_33:[bind(X,$fot(divide(divide(divide(X_8,X_9),X_7),Z))),bind(Y,$fot(divide(X_7,X_8)))]]) ).
cnf(refute_0_233,plain,
divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))) = divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))),
introduced(tautology,[refl,[$fot(divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))))]]) ).
cnf(refute_0_234,plain,
( divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8))) != multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))
| divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))) != divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8))))
| divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))) = divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))),divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8))))) ),[1,1],$fot(multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8)))]]) ).
cnf(refute_0_235,plain,
( divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8))) != multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))
| divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))) = divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))),divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8))))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))) = divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8))),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))) )],[refute_0_232,refute_0_235]) ).
cnf(refute_0_237,plain,
( divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))) != Z
| divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))) != divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8)))
| divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))),Z) ),[0],$fot(divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))))]]) ).
cnf(refute_0_238,plain,
( divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))) != Z
| divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))) = Z ),
inference(resolve,[$cnf( $equal(divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))),divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8)))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))) = Z,
inference(resolve,[$cnf( $equal(divide(inverse(X_9),divide(divide(divide(divide(X_8,X_9),X_7),Z),inverse(divide(X_7,X_8)))),Z) )],[refute_0_231,refute_0_238]) ).
cnf(refute_0_240,plain,
multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8)) = multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),
inference(subst,[],[refute_0_221:[bind(X_12,$fot(divide(X_7,X_8))),bind(X_20,$fot(divide(divide(divide(X_8,X_9),X_7),Z)))]]) ).
cnf(refute_0_241,plain,
divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))) = divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))),
introduced(tautology,[refl,[$fot(divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))))]]) ).
cnf(refute_0_242,plain,
( multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8)) != multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))
| divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))) != divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8)))
| divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))) = divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))),divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8)))) ),[1,1],$fot(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)))]]) ).
cnf(refute_0_243,plain,
( multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8)) != multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))
| divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))) = divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))),divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8)))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))) = divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))),
inference(resolve,[$cnf( $equal(multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8)),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))) )],[refute_0_240,refute_0_243]) ).
cnf(refute_0_245,plain,
( divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))) != Z
| divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))) != divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)))
| divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))),Z) ),[0],$fot(divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))))]]) ).
cnf(refute_0_246,plain,
( divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))) != Z
| divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))) = Z ),
inference(resolve,[$cnf( $equal(divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))),divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))) = Z,
inference(resolve,[$cnf( $equal(divide(inverse(X_9),multiply(divide(divide(divide(X_8,X_9),X_7),Z),divide(X_7,X_8))),Z) )],[refute_0_239,refute_0_246]) ).
cnf(refute_0_248,plain,
multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9) = multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))),
inference(subst,[],[refute_0_221:[bind(X_12,$fot(X_9)),bind(X_20,$fot(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))))]]) ).
cnf(refute_0_249,plain,
inverse(multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9)) = inverse(multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9)))]]) ).
cnf(refute_0_250,plain,
( multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9) != multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)))
| inverse(multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9)) != inverse(multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9))
| inverse(multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9)) = inverse(multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9)),inverse(multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9))) ),[1,0],$fot(multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))))]]) ).
cnf(refute_0_251,plain,
( multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9) != multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)))
| inverse(multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9)) = inverse(multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9)),inverse(multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
inverse(multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9)) = inverse(multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)))),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9),multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)))) )],[refute_0_248,refute_0_251]) ).
cnf(refute_0_253,plain,
inverse(divide(divide(X_17,divide(X_17,X_9)),X_17)) = divide(X_17,X_9),
inference(subst,[],[refute_0_98:[bind(X_8,$fot(X_17)),bind(X_9,$fot(divide(X_17,X_9)))]]) ).
cnf(refute_0_254,plain,
divide(X_17,divide(X_17,X_9)) = X_9,
inference(subst,[],[refute_0_179:[bind(X_8,$fot(X_17))]]) ).
cnf(refute_0_255,plain,
( divide(X_17,divide(X_17,X_9)) != X_9
| inverse(divide(divide(X_17,divide(X_17,X_9)),X_17)) != divide(X_17,X_9)
| inverse(divide(X_9,X_17)) = divide(X_17,X_9) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_17,divide(X_17,X_9)),X_17)),divide(X_17,X_9)) ),[0,0,0],$fot(X_9)]]) ).
cnf(refute_0_256,plain,
( inverse(divide(divide(X_17,divide(X_17,X_9)),X_17)) != divide(X_17,X_9)
| inverse(divide(X_9,X_17)) = divide(X_17,X_9) ),
inference(resolve,[$cnf( $equal(divide(X_17,divide(X_17,X_9)),X_9) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
inverse(divide(X_9,X_17)) = divide(X_17,X_9),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_17,divide(X_17,X_9)),X_17)),divide(X_17,X_9)) )],[refute_0_253,refute_0_256]) ).
cnf(refute_0_258,plain,
inverse(divide(X_25,inverse(Y))) = divide(inverse(Y),X_25),
inference(subst,[],[refute_0_257:[bind(X_17,$fot(inverse(Y))),bind(X_9,$fot(X_25))]]) ).
cnf(refute_0_259,plain,
multiply(X_25,Y) = divide(X_25,inverse(Y)),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_25))]]) ).
cnf(refute_0_260,plain,
( multiply(X_25,Y) != divide(X_25,inverse(Y))
| divide(X_25,inverse(Y)) = multiply(X_25,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_25,Y))),bind(Y0,$fot(divide(X_25,inverse(Y))))]]) ).
cnf(refute_0_261,plain,
divide(X_25,inverse(Y)) = multiply(X_25,Y),
inference(resolve,[$cnf( $equal(multiply(X_25,Y),divide(X_25,inverse(Y))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
( divide(X_25,inverse(Y)) != multiply(X_25,Y)
| inverse(divide(X_25,inverse(Y))) != divide(inverse(Y),X_25)
| inverse(multiply(X_25,Y)) = divide(inverse(Y),X_25) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_25,inverse(Y))),divide(inverse(Y),X_25)) ),[0,0],$fot(multiply(X_25,Y))]]) ).
cnf(refute_0_263,plain,
( inverse(divide(X_25,inverse(Y))) != divide(inverse(Y),X_25)
| inverse(multiply(X_25,Y)) = divide(inverse(Y),X_25) ),
inference(resolve,[$cnf( $equal(divide(X_25,inverse(Y)),multiply(X_25,Y)) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
inverse(multiply(X_25,Y)) = divide(inverse(Y),X_25),
inference(resolve,[$cnf( $equal(inverse(divide(X_25,inverse(Y))),divide(inverse(Y),X_25)) )],[refute_0_258,refute_0_263]) ).
cnf(refute_0_265,plain,
( inverse(multiply(X_25,Y)) != divide(inverse(Y),X_25)
| divide(inverse(Y),X_25) = inverse(multiply(X_25,Y)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_25,Y)))),bind(Y0,$fot(divide(inverse(Y),X_25)))]]) ).
cnf(refute_0_266,plain,
divide(inverse(Y),X_25) = inverse(multiply(X_25,Y)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_25,Y)),divide(inverse(Y),X_25)) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))) = inverse(multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9)),
inference(subst,[],[refute_0_266:[bind(Y,$fot(X_9)),bind(X_25,$fot(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))))]]) ).
cnf(refute_0_268,plain,
( divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))) != inverse(multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9))
| inverse(multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9)) != inverse(multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))))
| divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))) = inverse(multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)))) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))))),bind(Y0,$fot(inverse(multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9)))),bind(Z0,$fot(inverse(multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))))))]]) ).
cnf(refute_0_269,plain,
( inverse(multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9)) != inverse(multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))))
| divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))) = inverse(multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)))) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))),inverse(multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))) = inverse(multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)),X_9)),inverse(multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))))) )],[refute_0_252,refute_0_269]) ).
cnf(refute_0_271,plain,
( divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))) != Z
| divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))) != inverse(multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))))
| inverse(multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))),Z) ),[0],$fot(inverse(multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)))))]]) ).
cnf(refute_0_272,plain,
( divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))) != Z
| inverse(multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)))) = Z ),
inference(resolve,[$cnf( $equal(divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))),inverse(multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))))) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
inverse(multiply(X_9,multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z)))) = Z,
inference(resolve,[$cnf( $equal(divide(inverse(X_9),multiply(divide(X_7,X_8),divide(divide(divide(X_8,X_9),X_7),Z))),Z) )],[refute_0_247,refute_0_272]) ).
cnf(refute_0_274,plain,
inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(divide(identity,X_59),X_57),X_56)))) = X_56,
inference(subst,[],[refute_0_273:[bind(Z,$fot(X_56)),bind(X_7,$fot(X_57)),bind(X_8,$fot(identity)),bind(X_9,$fot(X_59))]]) ).
cnf(refute_0_275,plain,
inverse(X_59) = divide(identity,X_59),
inference(subst,[],[inverse:[bind(X,$fot(X_59))]]) ).
cnf(refute_0_276,plain,
( inverse(X_59) != divide(identity,X_59)
| divide(identity,X_59) = inverse(X_59) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_59))),bind(Y0,$fot(divide(identity,X_59)))]]) ).
cnf(refute_0_277,plain,
divide(identity,X_59) = inverse(X_59),
inference(resolve,[$cnf( $equal(inverse(X_59),divide(identity,X_59)) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
( divide(identity,X_59) != inverse(X_59)
| inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(divide(identity,X_59),X_57),X_56)))) != X_56
| inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))) = X_56 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(divide(identity,X_59),X_57),X_56)))),X_56) ),[0,0,1,1,0,0],$fot(inverse(X_59))]]) ).
cnf(refute_0_279,plain,
( inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(divide(identity,X_59),X_57),X_56)))) != X_56
| inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))) = X_56 ),
inference(resolve,[$cnf( $equal(divide(identity,X_59),inverse(X_59)) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))) = X_56,
inference(resolve,[$cnf( $equal(inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(divide(identity,X_59),X_57),X_56)))),X_56) )],[refute_0_274,refute_0_279]) ).
cnf(refute_0_281,plain,
inverse(multiply(X_55,divide(X_9,X_17))) = divide(inverse(divide(X_9,X_17)),X_55),
inference(subst,[],[refute_0_264:[bind(Y,$fot(divide(X_9,X_17))),bind(X_25,$fot(X_55))]]) ).
cnf(refute_0_282,plain,
( inverse(multiply(X_55,divide(X_9,X_17))) != divide(inverse(divide(X_9,X_17)),X_55)
| inverse(divide(X_9,X_17)) != divide(X_17,X_9)
| inverse(multiply(X_55,divide(X_9,X_17))) = divide(divide(X_17,X_9),X_55) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_55,divide(X_9,X_17))),divide(inverse(divide(X_9,X_17)),X_55)) ),[1,0],$fot(divide(X_17,X_9))]]) ).
cnf(refute_0_283,plain,
( inverse(multiply(X_55,divide(X_9,X_17))) != divide(inverse(divide(X_9,X_17)),X_55)
| inverse(multiply(X_55,divide(X_9,X_17))) = divide(divide(X_17,X_9),X_55) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_9,X_17)),divide(X_17,X_9)) )],[refute_0_257,refute_0_282]) ).
cnf(refute_0_284,plain,
inverse(multiply(X_55,divide(X_9,X_17))) = divide(divide(X_17,X_9),X_55),
inference(resolve,[$cnf( $equal(inverse(multiply(X_55,divide(X_9,X_17))),divide(inverse(divide(X_9,X_17)),X_55)) )],[refute_0_281,refute_0_283]) ).
cnf(refute_0_285,plain,
inverse(multiply(X_59,divide(X_57,multiply(X_56,multiply(X_57,X_59))))) = divide(divide(multiply(X_56,multiply(X_57,X_59)),X_57),X_59),
inference(subst,[],[refute_0_284:[bind(X_17,$fot(multiply(X_56,multiply(X_57,X_59)))),bind(X_55,$fot(X_59)),bind(X_9,$fot(X_57))]]) ).
cnf(refute_0_286,plain,
multiply(X_57,inverse(multiply(X_56,multiply(X_57,X_59)))) = divide(X_57,multiply(X_56,multiply(X_57,X_59))),
inference(subst,[],[refute_0_113:[bind(X,$fot(X_57)),bind(X_13,$fot(multiply(X_56,multiply(X_57,X_59))))]]) ).
cnf(refute_0_287,plain,
divide(inverse(multiply(X_57,X_59)),X_56) = inverse(multiply(X_56,multiply(X_57,X_59))),
inference(subst,[],[refute_0_266:[bind(Y,$fot(multiply(X_57,X_59))),bind(X_25,$fot(X_56))]]) ).
cnf(refute_0_288,plain,
divide(inverse(X_59),X_57) = inverse(multiply(X_57,X_59)),
inference(subst,[],[refute_0_266:[bind(Y,$fot(X_59)),bind(X_25,$fot(X_57))]]) ).
cnf(refute_0_289,plain,
divide(divide(inverse(X_59),X_57),X_56) = divide(divide(inverse(X_59),X_57),X_56),
introduced(tautology,[refl,[$fot(divide(divide(inverse(X_59),X_57),X_56))]]) ).
cnf(refute_0_290,plain,
( divide(divide(inverse(X_59),X_57),X_56) != divide(divide(inverse(X_59),X_57),X_56)
| divide(inverse(X_59),X_57) != inverse(multiply(X_57,X_59))
| divide(divide(inverse(X_59),X_57),X_56) = divide(inverse(multiply(X_57,X_59)),X_56) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(inverse(X_59),X_57),X_56),divide(divide(inverse(X_59),X_57),X_56)) ),[1,0],$fot(inverse(multiply(X_57,X_59)))]]) ).
cnf(refute_0_291,plain,
( divide(inverse(X_59),X_57) != inverse(multiply(X_57,X_59))
| divide(divide(inverse(X_59),X_57),X_56) = divide(inverse(multiply(X_57,X_59)),X_56) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_59),X_57),X_56),divide(divide(inverse(X_59),X_57),X_56)) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
divide(divide(inverse(X_59),X_57),X_56) = divide(inverse(multiply(X_57,X_59)),X_56),
inference(resolve,[$cnf( $equal(divide(inverse(X_59),X_57),inverse(multiply(X_57,X_59))) )],[refute_0_288,refute_0_291]) ).
cnf(refute_0_293,plain,
( divide(divide(inverse(X_59),X_57),X_56) != divide(inverse(multiply(X_57,X_59)),X_56)
| divide(inverse(multiply(X_57,X_59)),X_56) != inverse(multiply(X_56,multiply(X_57,X_59)))
| divide(divide(inverse(X_59),X_57),X_56) = inverse(multiply(X_56,multiply(X_57,X_59))) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(divide(divide(inverse(X_59),X_57),X_56))),bind(Y0,$fot(divide(inverse(multiply(X_57,X_59)),X_56))),bind(Z0,$fot(inverse(multiply(X_56,multiply(X_57,X_59)))))]]) ).
cnf(refute_0_294,plain,
( divide(inverse(multiply(X_57,X_59)),X_56) != inverse(multiply(X_56,multiply(X_57,X_59)))
| divide(divide(inverse(X_59),X_57),X_56) = inverse(multiply(X_56,multiply(X_57,X_59))) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_59),X_57),X_56),divide(inverse(multiply(X_57,X_59)),X_56)) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
divide(divide(inverse(X_59),X_57),X_56) = inverse(multiply(X_56,multiply(X_57,X_59))),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(X_57,X_59)),X_56),inverse(multiply(X_56,multiply(X_57,X_59)))) )],[refute_0_287,refute_0_294]) ).
cnf(refute_0_296,plain,
multiply(X_57,divide(divide(inverse(X_59),X_57),X_56)) = multiply(X_57,divide(divide(inverse(X_59),X_57),X_56)),
introduced(tautology,[refl,[$fot(multiply(X_57,divide(divide(inverse(X_59),X_57),X_56)))]]) ).
cnf(refute_0_297,plain,
( multiply(X_57,divide(divide(inverse(X_59),X_57),X_56)) != multiply(X_57,divide(divide(inverse(X_59),X_57),X_56))
| divide(divide(inverse(X_59),X_57),X_56) != inverse(multiply(X_56,multiply(X_57,X_59)))
| multiply(X_57,divide(divide(inverse(X_59),X_57),X_56)) = multiply(X_57,inverse(multiply(X_56,multiply(X_57,X_59)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_57,divide(divide(inverse(X_59),X_57),X_56)),multiply(X_57,divide(divide(inverse(X_59),X_57),X_56))) ),[1,1],$fot(inverse(multiply(X_56,multiply(X_57,X_59))))]]) ).
cnf(refute_0_298,plain,
( divide(divide(inverse(X_59),X_57),X_56) != inverse(multiply(X_56,multiply(X_57,X_59)))
| multiply(X_57,divide(divide(inverse(X_59),X_57),X_56)) = multiply(X_57,inverse(multiply(X_56,multiply(X_57,X_59)))) ),
inference(resolve,[$cnf( $equal(multiply(X_57,divide(divide(inverse(X_59),X_57),X_56)),multiply(X_57,divide(divide(inverse(X_59),X_57),X_56))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
multiply(X_57,divide(divide(inverse(X_59),X_57),X_56)) = multiply(X_57,inverse(multiply(X_56,multiply(X_57,X_59)))),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_59),X_57),X_56),inverse(multiply(X_56,multiply(X_57,X_59)))) )],[refute_0_295,refute_0_298]) ).
cnf(refute_0_300,plain,
multiply(X_2,identity) = X_2,
inference(subst,[],[refute_0_105:[bind(X_9,$fot(X_2))]]) ).
cnf(refute_0_301,plain,
( multiply(X_2,identity) != X_2
| multiply(X_2,identity) != divide(X_2,identity)
| X_2 = divide(X_2,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,identity),divide(X_2,identity)) ),[0],$fot(X_2)]]) ).
cnf(refute_0_302,plain,
( multiply(X_2,identity) != divide(X_2,identity)
| X_2 = divide(X_2,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),X_2) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
X_2 = divide(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,identity)) )],[refute_0_74,refute_0_302]) ).
cnf(refute_0_304,plain,
( X_2 != divide(X_2,identity)
| divide(X_2,identity) = X_2 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_2)),bind(Y0,$fot(divide(X_2,identity)))]]) ).
cnf(refute_0_305,plain,
divide(X_2,identity) = X_2,
inference(resolve,[$cnf( $equal(X_2,divide(X_2,identity)) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
divide(X_57,identity) = X_57,
inference(subst,[],[refute_0_305:[bind(X_2,$fot(X_57))]]) ).
cnf(refute_0_307,plain,
multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)) = multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)),
introduced(tautology,[refl,[$fot(multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))]]) ).
cnf(refute_0_308,plain,
( multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)) != multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56))
| divide(X_57,identity) != X_57
| multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)) = multiply(X_57,divide(divide(inverse(X_59),X_57),X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)),multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56))) ),[1,0],$fot(X_57)]]) ).
cnf(refute_0_309,plain,
( divide(X_57,identity) != X_57
| multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)) = multiply(X_57,divide(divide(inverse(X_59),X_57),X_56)) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)),multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56))) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)) = multiply(X_57,divide(divide(inverse(X_59),X_57),X_56)),
inference(resolve,[$cnf( $equal(divide(X_57,identity),X_57) )],[refute_0_306,refute_0_309]) ).
cnf(refute_0_311,plain,
( multiply(X_57,divide(divide(inverse(X_59),X_57),X_56)) != multiply(X_57,inverse(multiply(X_56,multiply(X_57,X_59))))
| multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)) != multiply(X_57,divide(divide(inverse(X_59),X_57),X_56))
| multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)) = multiply(X_57,inverse(multiply(X_56,multiply(X_57,X_59)))) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))),bind(Y0,$fot(multiply(X_57,divide(divide(inverse(X_59),X_57),X_56)))),bind(Z0,$fot(multiply(X_57,inverse(multiply(X_56,multiply(X_57,X_59))))))]]) ).
cnf(refute_0_312,plain,
( multiply(X_57,divide(divide(inverse(X_59),X_57),X_56)) != multiply(X_57,inverse(multiply(X_56,multiply(X_57,X_59))))
| multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)) = multiply(X_57,inverse(multiply(X_56,multiply(X_57,X_59)))) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)),multiply(X_57,divide(divide(inverse(X_59),X_57),X_56))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)) = multiply(X_57,inverse(multiply(X_56,multiply(X_57,X_59)))),
inference(resolve,[$cnf( $equal(multiply(X_57,divide(divide(inverse(X_59),X_57),X_56)),multiply(X_57,inverse(multiply(X_56,multiply(X_57,X_59))))) )],[refute_0_299,refute_0_312]) ).
cnf(refute_0_314,plain,
( multiply(X_57,inverse(multiply(X_56,multiply(X_57,X_59)))) != divide(X_57,multiply(X_56,multiply(X_57,X_59)))
| multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)) != multiply(X_57,inverse(multiply(X_56,multiply(X_57,X_59))))
| multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)) = divide(X_57,multiply(X_56,multiply(X_57,X_59))) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))),bind(Y0,$fot(multiply(X_57,inverse(multiply(X_56,multiply(X_57,X_59)))))),bind(Z0,$fot(divide(X_57,multiply(X_56,multiply(X_57,X_59)))))]]) ).
cnf(refute_0_315,plain,
( multiply(X_57,inverse(multiply(X_56,multiply(X_57,X_59)))) != divide(X_57,multiply(X_56,multiply(X_57,X_59)))
| multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)) = divide(X_57,multiply(X_56,multiply(X_57,X_59))) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)),multiply(X_57,inverse(multiply(X_56,multiply(X_57,X_59))))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)) = divide(X_57,multiply(X_56,multiply(X_57,X_59))),
inference(resolve,[$cnf( $equal(multiply(X_57,inverse(multiply(X_56,multiply(X_57,X_59)))),divide(X_57,multiply(X_56,multiply(X_57,X_59)))) )],[refute_0_286,refute_0_315]) ).
cnf(refute_0_317,plain,
multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56))) = multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56))),
introduced(tautology,[refl,[$fot(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56))))]]) ).
cnf(refute_0_318,plain,
( multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56))) != multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))
| multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)) != divide(X_57,multiply(X_56,multiply(X_57,X_59)))
| multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56))) = multiply(X_59,divide(X_57,multiply(X_56,multiply(X_57,X_59)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56))),multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))) ),[1,1],$fot(divide(X_57,multiply(X_56,multiply(X_57,X_59))))]]) ).
cnf(refute_0_319,plain,
( multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)) != divide(X_57,multiply(X_56,multiply(X_57,X_59)))
| multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56))) = multiply(X_59,divide(X_57,multiply(X_56,multiply(X_57,X_59)))) ),
inference(resolve,[$cnf( $equal(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56))),multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56))) = multiply(X_59,divide(X_57,multiply(X_56,multiply(X_57,X_59)))),
inference(resolve,[$cnf( $equal(multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)),divide(X_57,multiply(X_56,multiply(X_57,X_59)))) )],[refute_0_316,refute_0_319]) ).
cnf(refute_0_321,plain,
inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))) = inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))))]]) ).
cnf(refute_0_322,plain,
( multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56))) != multiply(X_59,divide(X_57,multiply(X_56,multiply(X_57,X_59))))
| inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))) != inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56))))
| inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))) = inverse(multiply(X_59,divide(X_57,multiply(X_56,multiply(X_57,X_59))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))),inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56))))) ),[1,0],$fot(multiply(X_59,divide(X_57,multiply(X_56,multiply(X_57,X_59)))))]]) ).
cnf(refute_0_323,plain,
( multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56))) != multiply(X_59,divide(X_57,multiply(X_56,multiply(X_57,X_59))))
| inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))) = inverse(multiply(X_59,divide(X_57,multiply(X_56,multiply(X_57,X_59))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))),inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56))))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))) = inverse(multiply(X_59,divide(X_57,multiply(X_56,multiply(X_57,X_59))))),
inference(resolve,[$cnf( $equal(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56))),multiply(X_59,divide(X_57,multiply(X_56,multiply(X_57,X_59))))) )],[refute_0_320,refute_0_323]) ).
cnf(refute_0_325,plain,
( inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))) != inverse(multiply(X_59,divide(X_57,multiply(X_56,multiply(X_57,X_59)))))
| inverse(multiply(X_59,divide(X_57,multiply(X_56,multiply(X_57,X_59))))) != divide(divide(multiply(X_56,multiply(X_57,X_59)),X_57),X_59)
| inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))) = divide(divide(multiply(X_56,multiply(X_57,X_59)),X_57),X_59) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))))),bind(Y0,$fot(inverse(multiply(X_59,divide(X_57,multiply(X_56,multiply(X_57,X_59))))))),bind(Z0,$fot(divide(divide(multiply(X_56,multiply(X_57,X_59)),X_57),X_59)))]]) ).
cnf(refute_0_326,plain,
( inverse(multiply(X_59,divide(X_57,multiply(X_56,multiply(X_57,X_59))))) != divide(divide(multiply(X_56,multiply(X_57,X_59)),X_57),X_59)
| inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))) = divide(divide(multiply(X_56,multiply(X_57,X_59)),X_57),X_59) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))),inverse(multiply(X_59,divide(X_57,multiply(X_56,multiply(X_57,X_59)))))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))) = divide(divide(multiply(X_56,multiply(X_57,X_59)),X_57),X_59),
inference(resolve,[$cnf( $equal(inverse(multiply(X_59,divide(X_57,multiply(X_56,multiply(X_57,X_59))))),divide(divide(multiply(X_56,multiply(X_57,X_59)),X_57),X_59)) )],[refute_0_285,refute_0_326]) ).
cnf(refute_0_328,plain,
( inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))) != X_56
| inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))) != divide(divide(multiply(X_56,multiply(X_57,X_59)),X_57),X_59)
| divide(divide(multiply(X_56,multiply(X_57,X_59)),X_57),X_59) = X_56 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))),X_56) ),[0],$fot(divide(divide(multiply(X_56,multiply(X_57,X_59)),X_57),X_59))]]) ).
cnf(refute_0_329,plain,
( inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))) != X_56
| divide(divide(multiply(X_56,multiply(X_57,X_59)),X_57),X_59) = X_56 ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))),divide(divide(multiply(X_56,multiply(X_57,X_59)),X_57),X_59)) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
divide(divide(multiply(X_56,multiply(X_57,X_59)),X_57),X_59) = X_56,
inference(resolve,[$cnf( $equal(inverse(multiply(X_59,multiply(divide(X_57,identity),divide(divide(inverse(X_59),X_57),X_56)))),X_56) )],[refute_0_280,refute_0_329]) ).
cnf(refute_0_331,plain,
divide(divide(multiply(X_60,multiply(X_61,Y)),X_61),Y) = X_60,
inference(subst,[],[refute_0_330:[bind(X_56,$fot(X_60)),bind(X_57,$fot(X_61)),bind(X_59,$fot(Y))]]) ).
cnf(refute_0_332,plain,
( multiply(Y,divide(divide(multiply(X_60,multiply(X_61,Y)),X_61),Y)) != divide(multiply(X_60,multiply(X_61,Y)),X_61)
| divide(divide(multiply(X_60,multiply(X_61,Y)),X_61),Y) != X_60
| multiply(Y,X_60) = divide(multiply(X_60,multiply(X_61,Y)),X_61) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,divide(divide(multiply(X_60,multiply(X_61,Y)),X_61),Y)),divide(multiply(X_60,multiply(X_61,Y)),X_61)) ),[0,1],$fot(X_60)]]) ).
cnf(refute_0_333,plain,
( multiply(Y,divide(divide(multiply(X_60,multiply(X_61,Y)),X_61),Y)) != divide(multiply(X_60,multiply(X_61,Y)),X_61)
| multiply(Y,X_60) = divide(multiply(X_60,multiply(X_61,Y)),X_61) ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(X_60,multiply(X_61,Y)),X_61),Y),X_60) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
multiply(Y,X_60) = divide(multiply(X_60,multiply(X_61,Y)),X_61),
inference(resolve,[$cnf( $equal(multiply(Y,divide(divide(multiply(X_60,multiply(X_61,Y)),X_61),Y)),divide(multiply(X_60,multiply(X_61,Y)),X_61)) )],[refute_0_226,refute_0_333]) ).
cnf(refute_0_335,plain,
multiply(X_61,divide(Y,X_61)) = Y,
inference(subst,[],[refute_0_225:[bind(Y,$fot(X_61)),bind(X_9,$fot(Y))]]) ).
cnf(refute_0_336,plain,
inverse(divide(divide(inverse(Y),X_18),inverse(Y))) = X_18,
inference(subst,[],[refute_0_98:[bind(X_8,$fot(inverse(Y))),bind(X_9,$fot(X_18))]]) ).
cnf(refute_0_337,plain,
multiply(divide(inverse(Y),X_18),Y) = divide(divide(inverse(Y),X_18),inverse(Y)),
inference(subst,[],[refute_0_15:[bind(X,$fot(divide(inverse(Y),X_18)))]]) ).
cnf(refute_0_338,plain,
( multiply(divide(inverse(Y),X_18),Y) != divide(divide(inverse(Y),X_18),inverse(Y))
| divide(divide(inverse(Y),X_18),inverse(Y)) = multiply(divide(inverse(Y),X_18),Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(divide(inverse(Y),X_18),Y))),bind(Y0,$fot(divide(divide(inverse(Y),X_18),inverse(Y))))]]) ).
cnf(refute_0_339,plain,
divide(divide(inverse(Y),X_18),inverse(Y)) = multiply(divide(inverse(Y),X_18),Y),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(Y),X_18),Y),divide(divide(inverse(Y),X_18),inverse(Y))) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
( divide(divide(inverse(Y),X_18),inverse(Y)) != multiply(divide(inverse(Y),X_18),Y)
| inverse(divide(divide(inverse(Y),X_18),inverse(Y))) != X_18
| inverse(multiply(divide(inverse(Y),X_18),Y)) = X_18 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(inverse(Y),X_18),inverse(Y))),X_18) ),[0,0],$fot(multiply(divide(inverse(Y),X_18),Y))]]) ).
cnf(refute_0_341,plain,
( inverse(divide(divide(inverse(Y),X_18),inverse(Y))) != X_18
| inverse(multiply(divide(inverse(Y),X_18),Y)) = X_18 ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(Y),X_18),inverse(Y)),multiply(divide(inverse(Y),X_18),Y)) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
inverse(multiply(divide(inverse(Y),X_18),Y)) = X_18,
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(Y),X_18),inverse(Y))),X_18) )],[refute_0_336,refute_0_341]) ).
cnf(refute_0_343,plain,
multiply(divide(inverse(Y),X_18),Y) = multiply(Y,divide(inverse(Y),X_18)),
inference(subst,[],[refute_0_221:[bind(X_12,$fot(Y)),bind(X_20,$fot(divide(inverse(Y),X_18)))]]) ).
cnf(refute_0_344,plain,
inverse(multiply(divide(inverse(Y),X_18),Y)) = inverse(multiply(divide(inverse(Y),X_18),Y)),
introduced(tautology,[refl,[$fot(inverse(multiply(divide(inverse(Y),X_18),Y)))]]) ).
cnf(refute_0_345,plain,
( multiply(divide(inverse(Y),X_18),Y) != multiply(Y,divide(inverse(Y),X_18))
| inverse(multiply(divide(inverse(Y),X_18),Y)) != inverse(multiply(divide(inverse(Y),X_18),Y))
| inverse(multiply(divide(inverse(Y),X_18),Y)) = inverse(multiply(Y,divide(inverse(Y),X_18))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(inverse(Y),X_18),Y)),inverse(multiply(divide(inverse(Y),X_18),Y))) ),[1,0],$fot(multiply(Y,divide(inverse(Y),X_18)))]]) ).
cnf(refute_0_346,plain,
( multiply(divide(inverse(Y),X_18),Y) != multiply(Y,divide(inverse(Y),X_18))
| inverse(multiply(divide(inverse(Y),X_18),Y)) = inverse(multiply(Y,divide(inverse(Y),X_18))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(Y),X_18),Y)),inverse(multiply(divide(inverse(Y),X_18),Y))) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
inverse(multiply(divide(inverse(Y),X_18),Y)) = inverse(multiply(Y,divide(inverse(Y),X_18))),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(Y),X_18),Y),multiply(Y,divide(inverse(Y),X_18))) )],[refute_0_343,refute_0_346]) ).
cnf(refute_0_348,plain,
( inverse(multiply(divide(inverse(Y),X_18),Y)) != X_18
| inverse(multiply(divide(inverse(Y),X_18),Y)) != inverse(multiply(Y,divide(inverse(Y),X_18)))
| inverse(multiply(Y,divide(inverse(Y),X_18))) = X_18 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(inverse(Y),X_18),Y)),X_18) ),[0],$fot(inverse(multiply(Y,divide(inverse(Y),X_18))))]]) ).
cnf(refute_0_349,plain,
( inverse(multiply(divide(inverse(Y),X_18),Y)) != X_18
| inverse(multiply(Y,divide(inverse(Y),X_18))) = X_18 ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(Y),X_18),Y)),inverse(multiply(Y,divide(inverse(Y),X_18)))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
inverse(multiply(Y,divide(inverse(Y),X_18))) = X_18,
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(Y),X_18),Y)),X_18) )],[refute_0_342,refute_0_349]) ).
cnf(refute_0_351,plain,
inverse(divide(Y,multiply(X_18,Y))) = divide(multiply(X_18,Y),Y),
inference(subst,[],[refute_0_257:[bind(X_17,$fot(multiply(X_18,Y))),bind(X_9,$fot(Y))]]) ).
cnf(refute_0_352,plain,
multiply(Y,inverse(multiply(X_18,Y))) = divide(Y,multiply(X_18,Y)),
inference(subst,[],[refute_0_113:[bind(X,$fot(Y)),bind(X_13,$fot(multiply(X_18,Y)))]]) ).
cnf(refute_0_353,plain,
divide(inverse(Y),X_18) = inverse(multiply(X_18,Y)),
inference(subst,[],[refute_0_266:[bind(X_25,$fot(X_18))]]) ).
cnf(refute_0_354,plain,
multiply(Y,divide(inverse(Y),X_18)) = multiply(Y,divide(inverse(Y),X_18)),
introduced(tautology,[refl,[$fot(multiply(Y,divide(inverse(Y),X_18)))]]) ).
cnf(refute_0_355,plain,
( multiply(Y,divide(inverse(Y),X_18)) != multiply(Y,divide(inverse(Y),X_18))
| divide(inverse(Y),X_18) != inverse(multiply(X_18,Y))
| multiply(Y,divide(inverse(Y),X_18)) = multiply(Y,inverse(multiply(X_18,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,divide(inverse(Y),X_18)),multiply(Y,divide(inverse(Y),X_18))) ),[1,1],$fot(inverse(multiply(X_18,Y)))]]) ).
cnf(refute_0_356,plain,
( divide(inverse(Y),X_18) != inverse(multiply(X_18,Y))
| multiply(Y,divide(inverse(Y),X_18)) = multiply(Y,inverse(multiply(X_18,Y))) ),
inference(resolve,[$cnf( $equal(multiply(Y,divide(inverse(Y),X_18)),multiply(Y,divide(inverse(Y),X_18))) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
multiply(Y,divide(inverse(Y),X_18)) = multiply(Y,inverse(multiply(X_18,Y))),
inference(resolve,[$cnf( $equal(divide(inverse(Y),X_18),inverse(multiply(X_18,Y))) )],[refute_0_353,refute_0_356]) ).
cnf(refute_0_358,plain,
( multiply(Y,divide(inverse(Y),X_18)) != multiply(Y,inverse(multiply(X_18,Y)))
| multiply(Y,inverse(multiply(X_18,Y))) != divide(Y,multiply(X_18,Y))
| multiply(Y,divide(inverse(Y),X_18)) = divide(Y,multiply(X_18,Y)) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(Y,divide(inverse(Y),X_18)))),bind(Y0,$fot(multiply(Y,inverse(multiply(X_18,Y))))),bind(Z0,$fot(divide(Y,multiply(X_18,Y))))]]) ).
cnf(refute_0_359,plain,
( multiply(Y,inverse(multiply(X_18,Y))) != divide(Y,multiply(X_18,Y))
| multiply(Y,divide(inverse(Y),X_18)) = divide(Y,multiply(X_18,Y)) ),
inference(resolve,[$cnf( $equal(multiply(Y,divide(inverse(Y),X_18)),multiply(Y,inverse(multiply(X_18,Y)))) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
multiply(Y,divide(inverse(Y),X_18)) = divide(Y,multiply(X_18,Y)),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(multiply(X_18,Y))),divide(Y,multiply(X_18,Y))) )],[refute_0_352,refute_0_359]) ).
cnf(refute_0_361,plain,
inverse(multiply(Y,divide(inverse(Y),X_18))) = inverse(multiply(Y,divide(inverse(Y),X_18))),
introduced(tautology,[refl,[$fot(inverse(multiply(Y,divide(inverse(Y),X_18))))]]) ).
cnf(refute_0_362,plain,
( multiply(Y,divide(inverse(Y),X_18)) != divide(Y,multiply(X_18,Y))
| inverse(multiply(Y,divide(inverse(Y),X_18))) != inverse(multiply(Y,divide(inverse(Y),X_18)))
| inverse(multiply(Y,divide(inverse(Y),X_18))) = inverse(divide(Y,multiply(X_18,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(Y,divide(inverse(Y),X_18))),inverse(multiply(Y,divide(inverse(Y),X_18)))) ),[1,0],$fot(divide(Y,multiply(X_18,Y)))]]) ).
cnf(refute_0_363,plain,
( multiply(Y,divide(inverse(Y),X_18)) != divide(Y,multiply(X_18,Y))
| inverse(multiply(Y,divide(inverse(Y),X_18))) = inverse(divide(Y,multiply(X_18,Y))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(Y,divide(inverse(Y),X_18))),inverse(multiply(Y,divide(inverse(Y),X_18)))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
inverse(multiply(Y,divide(inverse(Y),X_18))) = inverse(divide(Y,multiply(X_18,Y))),
inference(resolve,[$cnf( $equal(multiply(Y,divide(inverse(Y),X_18)),divide(Y,multiply(X_18,Y))) )],[refute_0_360,refute_0_363]) ).
cnf(refute_0_365,plain,
( inverse(multiply(Y,divide(inverse(Y),X_18))) != inverse(divide(Y,multiply(X_18,Y)))
| inverse(divide(Y,multiply(X_18,Y))) != divide(multiply(X_18,Y),Y)
| inverse(multiply(Y,divide(inverse(Y),X_18))) = divide(multiply(X_18,Y),Y) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(inverse(multiply(Y,divide(inverse(Y),X_18))))),bind(Y0,$fot(inverse(divide(Y,multiply(X_18,Y))))),bind(Z0,$fot(divide(multiply(X_18,Y),Y)))]]) ).
cnf(refute_0_366,plain,
( inverse(divide(Y,multiply(X_18,Y))) != divide(multiply(X_18,Y),Y)
| inverse(multiply(Y,divide(inverse(Y),X_18))) = divide(multiply(X_18,Y),Y) ),
inference(resolve,[$cnf( $equal(inverse(multiply(Y,divide(inverse(Y),X_18))),inverse(divide(Y,multiply(X_18,Y)))) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
inverse(multiply(Y,divide(inverse(Y),X_18))) = divide(multiply(X_18,Y),Y),
inference(resolve,[$cnf( $equal(inverse(divide(Y,multiply(X_18,Y))),divide(multiply(X_18,Y),Y)) )],[refute_0_351,refute_0_366]) ).
cnf(refute_0_368,plain,
( inverse(multiply(Y,divide(inverse(Y),X_18))) != X_18
| inverse(multiply(Y,divide(inverse(Y),X_18))) != divide(multiply(X_18,Y),Y)
| divide(multiply(X_18,Y),Y) = X_18 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(Y,divide(inverse(Y),X_18))),X_18) ),[0],$fot(divide(multiply(X_18,Y),Y))]]) ).
cnf(refute_0_369,plain,
( inverse(multiply(Y,divide(inverse(Y),X_18))) != X_18
| divide(multiply(X_18,Y),Y) = X_18 ),
inference(resolve,[$cnf( $equal(inverse(multiply(Y,divide(inverse(Y),X_18))),divide(multiply(X_18,Y),Y)) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
divide(multiply(X_18,Y),Y) = X_18,
inference(resolve,[$cnf( $equal(inverse(multiply(Y,divide(inverse(Y),X_18))),X_18) )],[refute_0_350,refute_0_369]) ).
cnf(refute_0_371,plain,
divide(multiply(X_27,X_26),X_26) = X_27,
inference(subst,[],[refute_0_370:[bind(Y,$fot(X_26)),bind(X_18,$fot(X_27))]]) ).
cnf(refute_0_372,plain,
multiply(X_26,X_27) = multiply(X_27,X_26),
inference(subst,[],[refute_0_219:[bind(X_12,$fot(X_26)),bind(X_20,$fot(X_27))]]) ).
cnf(refute_0_373,plain,
( multiply(X_26,X_27) != multiply(X_27,X_26)
| multiply(X_27,X_26) = multiply(X_26,X_27) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_26,X_27))),bind(Y0,$fot(multiply(X_27,X_26)))]]) ).
cnf(refute_0_374,plain,
multiply(X_27,X_26) = multiply(X_26,X_27),
inference(resolve,[$cnf( $equal(multiply(X_26,X_27),multiply(X_27,X_26)) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
( multiply(X_27,X_26) != multiply(X_26,X_27)
| divide(multiply(X_27,X_26),X_26) != X_27
| divide(multiply(X_26,X_27),X_26) = X_27 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_27,X_26),X_26),X_27) ),[0,0],$fot(multiply(X_26,X_27))]]) ).
cnf(refute_0_376,plain,
( divide(multiply(X_27,X_26),X_26) != X_27
| divide(multiply(X_26,X_27),X_26) = X_27 ),
inference(resolve,[$cnf( $equal(multiply(X_27,X_26),multiply(X_26,X_27)) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
divide(multiply(X_26,X_27),X_26) = X_27,
inference(resolve,[$cnf( $equal(divide(multiply(X_27,X_26),X_26),X_27) )],[refute_0_371,refute_0_376]) ).
cnf(refute_0_378,plain,
divide(multiply(X_26,multiply(divide(X_69,X_26),X_71)),X_26) = multiply(divide(X_69,X_26),X_71),
inference(subst,[],[refute_0_377:[bind(X_27,$fot(multiply(divide(X_69,X_26),X_71)))]]) ).
cnf(refute_0_379,plain,
divide(inverse(divide(inverse(Y),X_8)),divide(divide(X_8,X_9),inverse(Y))) = X_9,
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(Y))),bind(Y,$fot(X_8)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_380,plain,
multiply(divide(X_8,X_9),Y) = divide(divide(X_8,X_9),inverse(Y)),
inference(subst,[],[refute_0_15:[bind(X,$fot(divide(X_8,X_9)))]]) ).
cnf(refute_0_381,plain,
( multiply(divide(X_8,X_9),Y) != divide(divide(X_8,X_9),inverse(Y))
| divide(divide(X_8,X_9),inverse(Y)) = multiply(divide(X_8,X_9),Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(divide(X_8,X_9),Y))),bind(Y0,$fot(divide(divide(X_8,X_9),inverse(Y))))]]) ).
cnf(refute_0_382,plain,
divide(divide(X_8,X_9),inverse(Y)) = multiply(divide(X_8,X_9),Y),
inference(resolve,[$cnf( $equal(multiply(divide(X_8,X_9),Y),divide(divide(X_8,X_9),inverse(Y))) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
( divide(divide(X_8,X_9),inverse(Y)) != multiply(divide(X_8,X_9),Y)
| divide(inverse(divide(inverse(Y),X_8)),divide(divide(X_8,X_9),inverse(Y))) != X_9
| divide(inverse(divide(inverse(Y),X_8)),multiply(divide(X_8,X_9),Y)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(Y),X_8)),divide(divide(X_8,X_9),inverse(Y))),X_9) ),[0,1],$fot(multiply(divide(X_8,X_9),Y))]]) ).
cnf(refute_0_384,plain,
( divide(inverse(divide(inverse(Y),X_8)),divide(divide(X_8,X_9),inverse(Y))) != X_9
| divide(inverse(divide(inverse(Y),X_8)),multiply(divide(X_8,X_9),Y)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(divide(X_8,X_9),inverse(Y)),multiply(divide(X_8,X_9),Y)) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
divide(inverse(divide(inverse(Y),X_8)),multiply(divide(X_8,X_9),Y)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(Y),X_8)),divide(divide(X_8,X_9),inverse(Y))),X_9) )],[refute_0_379,refute_0_384]) ).
cnf(refute_0_386,plain,
divide(divide(X_8,multiply(divide(X_8,X_9),Y)),inverse(Y)) = multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y),
inference(subst,[],[refute_0_33:[bind(X,$fot(divide(X_8,multiply(divide(X_8,X_9),Y))))]]) ).
cnf(refute_0_387,plain,
divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(divide(inverse(divide(X_7,X_8)),divide(divide(X_8,X_9),X_7)),X)) = divide(divide(X_8,X_9),X_7),
inference(subst,[],[refute_0_24:[bind(Y,$fot(inverse(divide(X_7,X_8)))),bind(Z,$fot(divide(divide(X_8,X_9),X_7)))]]) ).
cnf(refute_0_388,plain,
( divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(divide(inverse(divide(X_7,X_8)),divide(divide(X_8,X_9),X_7)),X)) != divide(divide(X_8,X_9),X_7)
| divide(inverse(divide(X_7,X_8)),divide(divide(X_8,X_9),X_7)) != X_9
| divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X)) = divide(divide(X_8,X_9),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(divide(inverse(divide(X_7,X_8)),divide(divide(X_8,X_9),X_7)),X)),divide(divide(X_8,X_9),X_7)) ),[0,1,0],$fot(X_9)]]) ).
cnf(refute_0_389,plain,
( divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(divide(inverse(divide(X_7,X_8)),divide(divide(X_8,X_9),X_7)),X)) != divide(divide(X_8,X_9),X_7)
| divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X)) = divide(divide(X_8,X_9),X_7) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,X_8)),divide(divide(X_8,X_9),X_7)),X_9) )],[refute_0_228,refute_0_388]) ).
cnf(refute_0_390,plain,
divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X)) = divide(divide(X_8,X_9),X_7),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(divide(inverse(divide(X_7,X_8)),divide(divide(X_8,X_9),X_7)),X)),divide(divide(X_8,X_9),X_7)) )],[refute_0_387,refute_0_389]) ).
cnf(refute_0_391,plain,
divide(X,inverse(divide(X_7,X_8))) = multiply(X,divide(X_7,X_8)),
inference(subst,[],[refute_0_33:[bind(Y,$fot(divide(X_7,X_8)))]]) ).
cnf(refute_0_392,plain,
inverse(divide(X,inverse(divide(X_7,X_8)))) = inverse(divide(X,inverse(divide(X_7,X_8)))),
introduced(tautology,[refl,[$fot(inverse(divide(X,inverse(divide(X_7,X_8)))))]]) ).
cnf(refute_0_393,plain,
( divide(X,inverse(divide(X_7,X_8))) != multiply(X,divide(X_7,X_8))
| inverse(divide(X,inverse(divide(X_7,X_8)))) != inverse(divide(X,inverse(divide(X_7,X_8))))
| inverse(divide(X,inverse(divide(X_7,X_8)))) = inverse(multiply(X,divide(X_7,X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X,inverse(divide(X_7,X_8)))),inverse(divide(X,inverse(divide(X_7,X_8))))) ),[1,0],$fot(multiply(X,divide(X_7,X_8)))]]) ).
cnf(refute_0_394,plain,
( divide(X,inverse(divide(X_7,X_8))) != multiply(X,divide(X_7,X_8))
| inverse(divide(X,inverse(divide(X_7,X_8)))) = inverse(multiply(X,divide(X_7,X_8))) ),
inference(resolve,[$cnf( $equal(inverse(divide(X,inverse(divide(X_7,X_8)))),inverse(divide(X,inverse(divide(X_7,X_8))))) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
inverse(divide(X,inverse(divide(X_7,X_8)))) = inverse(multiply(X,divide(X_7,X_8))),
inference(resolve,[$cnf( $equal(divide(X,inverse(divide(X_7,X_8))),multiply(X,divide(X_7,X_8))) )],[refute_0_391,refute_0_394]) ).
cnf(refute_0_396,plain,
divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X)) = divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X)),
introduced(tautology,[refl,[$fot(divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X)))]]) ).
cnf(refute_0_397,plain,
( divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X)) != divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X))
| inverse(divide(X,inverse(divide(X_7,X_8)))) != inverse(multiply(X,divide(X_7,X_8)))
| divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X)) = divide(inverse(multiply(X,divide(X_7,X_8))),divide(X_9,X)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X)),divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X))) ),[1,0],$fot(inverse(multiply(X,divide(X_7,X_8))))]]) ).
cnf(refute_0_398,plain,
( inverse(divide(X,inverse(divide(X_7,X_8)))) != inverse(multiply(X,divide(X_7,X_8)))
| divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X)) = divide(inverse(multiply(X,divide(X_7,X_8))),divide(X_9,X)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X)),divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X))) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X)) = divide(inverse(multiply(X,divide(X_7,X_8))),divide(X_9,X)),
inference(resolve,[$cnf( $equal(inverse(divide(X,inverse(divide(X_7,X_8)))),inverse(multiply(X,divide(X_7,X_8)))) )],[refute_0_395,refute_0_398]) ).
cnf(refute_0_400,plain,
( divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X)) != divide(divide(X_8,X_9),X_7)
| divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X)) != divide(inverse(multiply(X,divide(X_7,X_8))),divide(X_9,X))
| divide(inverse(multiply(X,divide(X_7,X_8))),divide(X_9,X)) = divide(divide(X_8,X_9),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X)),divide(divide(X_8,X_9),X_7)) ),[0],$fot(divide(inverse(multiply(X,divide(X_7,X_8))),divide(X_9,X)))]]) ).
cnf(refute_0_401,plain,
( divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X)) != divide(divide(X_8,X_9),X_7)
| divide(inverse(multiply(X,divide(X_7,X_8))),divide(X_9,X)) = divide(divide(X_8,X_9),X_7) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X)),divide(inverse(multiply(X,divide(X_7,X_8))),divide(X_9,X))) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
divide(inverse(multiply(X,divide(X_7,X_8))),divide(X_9,X)) = divide(divide(X_8,X_9),X_7),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X,inverse(divide(X_7,X_8)))),divide(X_9,X)),divide(divide(X_8,X_9),X_7)) )],[refute_0_390,refute_0_401]) ).
cnf(refute_0_403,plain,
divide(inverse(multiply(X,divide(X_7,X_8))),divide(X_9,X)) = divide(divide(X,multiply(X,divide(X_7,X_8))),X_9),
inference(subst,[],[refute_0_133:[bind(X,$fot(X_9)),bind(Y,$fot(X)),bind(Z,$fot(multiply(X,divide(X_7,X_8))))]]) ).
cnf(refute_0_404,plain,
( divide(inverse(multiply(X,divide(X_7,X_8))),divide(X_9,X)) != divide(divide(X,multiply(X,divide(X_7,X_8))),X_9)
| divide(inverse(multiply(X,divide(X_7,X_8))),divide(X_9,X)) != divide(divide(X_8,X_9),X_7)
| divide(divide(X,multiply(X,divide(X_7,X_8))),X_9) = divide(divide(X_8,X_9),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(multiply(X,divide(X_7,X_8))),divide(X_9,X)),divide(divide(X_8,X_9),X_7)) ),[0],$fot(divide(divide(X,multiply(X,divide(X_7,X_8))),X_9))]]) ).
cnf(refute_0_405,plain,
( divide(inverse(multiply(X,divide(X_7,X_8))),divide(X_9,X)) != divide(divide(X_8,X_9),X_7)
| divide(divide(X,multiply(X,divide(X_7,X_8))),X_9) = divide(divide(X_8,X_9),X_7) ),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(X,divide(X_7,X_8))),divide(X_9,X)),divide(divide(X,multiply(X,divide(X_7,X_8))),X_9)) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
divide(divide(X,multiply(X,divide(X_7,X_8))),X_9) = divide(divide(X_8,X_9),X_7),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(X,divide(X_7,X_8))),divide(X_9,X)),divide(divide(X_8,X_9),X_7)) )],[refute_0_402,refute_0_405]) ).
cnf(refute_0_407,plain,
divide(X,multiply(X,divide(X_7,X_8))) = inverse(divide(X_7,X_8)),
inference(subst,[],[refute_0_191:[bind(Y,$fot(divide(X_7,X_8))),bind(X_8,$fot(X))]]) ).
cnf(refute_0_408,plain,
divide(divide(X,multiply(X,divide(X_7,X_8))),X_9) = divide(divide(X,multiply(X,divide(X_7,X_8))),X_9),
introduced(tautology,[refl,[$fot(divide(divide(X,multiply(X,divide(X_7,X_8))),X_9))]]) ).
cnf(refute_0_409,plain,
( divide(X,multiply(X,divide(X_7,X_8))) != inverse(divide(X_7,X_8))
| divide(divide(X,multiply(X,divide(X_7,X_8))),X_9) != divide(divide(X,multiply(X,divide(X_7,X_8))),X_9)
| divide(divide(X,multiply(X,divide(X_7,X_8))),X_9) = divide(inverse(divide(X_7,X_8)),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,multiply(X,divide(X_7,X_8))),X_9),divide(divide(X,multiply(X,divide(X_7,X_8))),X_9)) ),[1,0],$fot(inverse(divide(X_7,X_8)))]]) ).
cnf(refute_0_410,plain,
( divide(X,multiply(X,divide(X_7,X_8))) != inverse(divide(X_7,X_8))
| divide(divide(X,multiply(X,divide(X_7,X_8))),X_9) = divide(inverse(divide(X_7,X_8)),X_9) ),
inference(resolve,[$cnf( $equal(divide(divide(X,multiply(X,divide(X_7,X_8))),X_9),divide(divide(X,multiply(X,divide(X_7,X_8))),X_9)) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
divide(divide(X,multiply(X,divide(X_7,X_8))),X_9) = divide(inverse(divide(X_7,X_8)),X_9),
inference(resolve,[$cnf( $equal(divide(X,multiply(X,divide(X_7,X_8))),inverse(divide(X_7,X_8))) )],[refute_0_407,refute_0_410]) ).
cnf(refute_0_412,plain,
( divide(divide(X,multiply(X,divide(X_7,X_8))),X_9) != divide(divide(X_8,X_9),X_7)
| divide(divide(X,multiply(X,divide(X_7,X_8))),X_9) != divide(inverse(divide(X_7,X_8)),X_9)
| divide(inverse(divide(X_7,X_8)),X_9) = divide(divide(X_8,X_9),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,multiply(X,divide(X_7,X_8))),X_9),divide(divide(X_8,X_9),X_7)) ),[0],$fot(divide(inverse(divide(X_7,X_8)),X_9))]]) ).
cnf(refute_0_413,plain,
( divide(divide(X,multiply(X,divide(X_7,X_8))),X_9) != divide(divide(X_8,X_9),X_7)
| divide(inverse(divide(X_7,X_8)),X_9) = divide(divide(X_8,X_9),X_7) ),
inference(resolve,[$cnf( $equal(divide(divide(X,multiply(X,divide(X_7,X_8))),X_9),divide(inverse(divide(X_7,X_8)),X_9)) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
divide(inverse(divide(X_7,X_8)),X_9) = divide(divide(X_8,X_9),X_7),
inference(resolve,[$cnf( $equal(divide(divide(X,multiply(X,divide(X_7,X_8))),X_9),divide(divide(X_8,X_9),X_7)) )],[refute_0_406,refute_0_413]) ).
cnf(refute_0_415,plain,
divide(inverse(divide(inverse(Y),X_8)),multiply(divide(X_8,X_9),Y)) = divide(divide(X_8,multiply(divide(X_8,X_9),Y)),inverse(Y)),
inference(subst,[],[refute_0_414:[bind(X_7,$fot(inverse(Y))),bind(X_9,$fot(multiply(divide(X_8,X_9),Y)))]]) ).
cnf(refute_0_416,plain,
( divide(divide(X_8,multiply(divide(X_8,X_9),Y)),inverse(Y)) != multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y)
| divide(inverse(divide(inverse(Y),X_8)),multiply(divide(X_8,X_9),Y)) != divide(divide(X_8,multiply(divide(X_8,X_9),Y)),inverse(Y))
| divide(inverse(divide(inverse(Y),X_8)),multiply(divide(X_8,X_9),Y)) = multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(divide(inverse(divide(inverse(Y),X_8)),multiply(divide(X_8,X_9),Y)))),bind(Y0,$fot(divide(divide(X_8,multiply(divide(X_8,X_9),Y)),inverse(Y)))),bind(Z0,$fot(multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y)))]]) ).
cnf(refute_0_417,plain,
( divide(divide(X_8,multiply(divide(X_8,X_9),Y)),inverse(Y)) != multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y)
| divide(inverse(divide(inverse(Y),X_8)),multiply(divide(X_8,X_9),Y)) = multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(Y),X_8)),multiply(divide(X_8,X_9),Y)),divide(divide(X_8,multiply(divide(X_8,X_9),Y)),inverse(Y))) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
divide(inverse(divide(inverse(Y),X_8)),multiply(divide(X_8,X_9),Y)) = multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y),
inference(resolve,[$cnf( $equal(divide(divide(X_8,multiply(divide(X_8,X_9),Y)),inverse(Y)),multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y)) )],[refute_0_386,refute_0_417]) ).
cnf(refute_0_419,plain,
( divide(inverse(divide(inverse(Y),X_8)),multiply(divide(X_8,X_9),Y)) != X_9
| divide(inverse(divide(inverse(Y),X_8)),multiply(divide(X_8,X_9),Y)) != multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y)
| multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(Y),X_8)),multiply(divide(X_8,X_9),Y)),X_9) ),[0],$fot(multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y))]]) ).
cnf(refute_0_420,plain,
( divide(inverse(divide(inverse(Y),X_8)),multiply(divide(X_8,X_9),Y)) != X_9
| multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(Y),X_8)),multiply(divide(X_8,X_9),Y)),multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y)) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(Y),X_8)),multiply(divide(X_8,X_9),Y)),X_9) )],[refute_0_385,refute_0_420]) ).
cnf(refute_0_422,plain,
multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y) = multiply(Y,divide(X_8,multiply(divide(X_8,X_9),Y))),
inference(subst,[],[refute_0_221:[bind(X_12,$fot(Y)),bind(X_20,$fot(divide(X_8,multiply(divide(X_8,X_9),Y))))]]) ).
cnf(refute_0_423,plain,
( multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y) != X_9
| multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y) != multiply(Y,divide(X_8,multiply(divide(X_8,X_9),Y)))
| multiply(Y,divide(X_8,multiply(divide(X_8,X_9),Y))) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y),X_9) ),[0],$fot(multiply(Y,divide(X_8,multiply(divide(X_8,X_9),Y))))]]) ).
cnf(refute_0_424,plain,
( multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y) != X_9
| multiply(Y,divide(X_8,multiply(divide(X_8,X_9),Y))) = X_9 ),
inference(resolve,[$cnf( $equal(multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y),multiply(Y,divide(X_8,multiply(divide(X_8,X_9),Y)))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
multiply(Y,divide(X_8,multiply(divide(X_8,X_9),Y))) = X_9,
inference(resolve,[$cnf( $equal(multiply(divide(X_8,multiply(divide(X_8,X_9),Y)),Y),X_9) )],[refute_0_421,refute_0_424]) ).
cnf(refute_0_426,plain,
multiply(X_32,divide(X_33,multiply(divide(X_33,multiply(X_27,X_33)),X_32))) = multiply(X_27,X_33),
inference(subst,[],[refute_0_425:[bind(Y,$fot(X_32)),bind(X_8,$fot(X_33)),bind(X_9,$fot(multiply(X_27,X_33)))]]) ).
cnf(refute_0_427,plain,
inverse(divide(multiply(X_27,X_17),X_17)) = divide(X_17,multiply(X_27,X_17)),
inference(subst,[],[refute_0_257:[bind(X_9,$fot(multiply(X_27,X_17)))]]) ).
cnf(refute_0_428,plain,
divide(multiply(X_27,X_17),X_17) = X_27,
inference(subst,[],[refute_0_370:[bind(Y,$fot(X_17)),bind(X_18,$fot(X_27))]]) ).
cnf(refute_0_429,plain,
( divide(multiply(X_27,X_17),X_17) != X_27
| inverse(divide(multiply(X_27,X_17),X_17)) != divide(X_17,multiply(X_27,X_17))
| inverse(X_27) = divide(X_17,multiply(X_27,X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(multiply(X_27,X_17),X_17)),divide(X_17,multiply(X_27,X_17))) ),[0,0],$fot(X_27)]]) ).
cnf(refute_0_430,plain,
( inverse(divide(multiply(X_27,X_17),X_17)) != divide(X_17,multiply(X_27,X_17))
| inverse(X_27) = divide(X_17,multiply(X_27,X_17)) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_27,X_17),X_17),X_27) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
inverse(X_27) = divide(X_17,multiply(X_27,X_17)),
inference(resolve,[$cnf( $equal(inverse(divide(multiply(X_27,X_17),X_17)),divide(X_17,multiply(X_27,X_17))) )],[refute_0_427,refute_0_430]) ).
cnf(refute_0_432,plain,
inverse(X_27) = divide(X_33,multiply(X_27,X_33)),
inference(subst,[],[refute_0_431:[bind(X_17,$fot(X_33))]]) ).
cnf(refute_0_433,plain,
( inverse(X_27) != divide(X_33,multiply(X_27,X_33))
| divide(X_33,multiply(X_27,X_33)) = inverse(X_27) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_27))),bind(Y0,$fot(divide(X_33,multiply(X_27,X_33))))]]) ).
cnf(refute_0_434,plain,
divide(X_33,multiply(X_27,X_33)) = inverse(X_27),
inference(resolve,[$cnf( $equal(inverse(X_27),divide(X_33,multiply(X_27,X_33))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
( multiply(X_32,divide(X_33,multiply(divide(X_33,multiply(X_27,X_33)),X_32))) != multiply(X_27,X_33)
| divide(X_33,multiply(X_27,X_33)) != inverse(X_27)
| multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32))) = multiply(X_27,X_33) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_32,divide(X_33,multiply(divide(X_33,multiply(X_27,X_33)),X_32))),multiply(X_27,X_33)) ),[0,1,1,0],$fot(inverse(X_27))]]) ).
cnf(refute_0_436,plain,
( multiply(X_32,divide(X_33,multiply(divide(X_33,multiply(X_27,X_33)),X_32))) != multiply(X_27,X_33)
| multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32))) = multiply(X_27,X_33) ),
inference(resolve,[$cnf( $equal(divide(X_33,multiply(X_27,X_33)),inverse(X_27)) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32))) = multiply(X_27,X_33),
inference(resolve,[$cnf( $equal(multiply(X_32,divide(X_33,multiply(divide(X_33,multiply(X_27,X_33)),X_32))),multiply(X_27,X_33)) )],[refute_0_426,refute_0_436]) ).
cnf(refute_0_438,plain,
multiply(inverse(divide(X_25,X_24)),X_7) = divide(X_7,divide(X_25,X_24)),
inference(subst,[],[refute_0_211:[bind(X_16,$fot(divide(X_25,X_24)))]]) ).
cnf(refute_0_439,plain,
inverse(divide(X_25,X_24)) = divide(X_24,X_25),
inference(subst,[],[refute_0_257:[bind(X_17,$fot(X_24)),bind(X_9,$fot(X_25))]]) ).
cnf(refute_0_440,plain,
( multiply(inverse(divide(X_25,X_24)),X_7) != divide(X_7,divide(X_25,X_24))
| inverse(divide(X_25,X_24)) != divide(X_24,X_25)
| multiply(divide(X_24,X_25),X_7) = divide(X_7,divide(X_25,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_25,X_24)),X_7),divide(X_7,divide(X_25,X_24))) ),[0,0],$fot(divide(X_24,X_25))]]) ).
cnf(refute_0_441,plain,
( multiply(inverse(divide(X_25,X_24)),X_7) != divide(X_7,divide(X_25,X_24))
| multiply(divide(X_24,X_25),X_7) = divide(X_7,divide(X_25,X_24)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_25,X_24)),divide(X_24,X_25)) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
multiply(divide(X_24,X_25),X_7) = divide(X_7,divide(X_25,X_24)),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_25,X_24)),X_7),divide(X_7,divide(X_25,X_24))) )],[refute_0_438,refute_0_441]) ).
cnf(refute_0_443,plain,
( multiply(divide(X_24,X_25),X_7) != divide(X_7,divide(X_25,X_24))
| divide(X_7,divide(X_25,X_24)) = multiply(divide(X_24,X_25),X_7) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(divide(X_24,X_25),X_7))),bind(Y0,$fot(divide(X_7,divide(X_25,X_24))))]]) ).
cnf(refute_0_444,plain,
divide(X_7,divide(X_25,X_24)) = multiply(divide(X_24,X_25),X_7),
inference(resolve,[$cnf( $equal(multiply(divide(X_24,X_25),X_7),divide(X_7,divide(X_25,X_24))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
divide(X_33,divide(X_32,X_27)) = multiply(divide(X_27,X_32),X_33),
inference(subst,[],[refute_0_444:[bind(X_24,$fot(X_27)),bind(X_25,$fot(X_32)),bind(X_7,$fot(X_33))]]) ).
cnf(refute_0_446,plain,
multiply(inverse(X_27),X_32) = divide(X_32,X_27),
inference(subst,[],[refute_0_211:[bind(X_16,$fot(X_27)),bind(X_7,$fot(X_32))]]) ).
cnf(refute_0_447,plain,
divide(X_33,multiply(inverse(X_27),X_32)) = divide(X_33,multiply(inverse(X_27),X_32)),
introduced(tautology,[refl,[$fot(divide(X_33,multiply(inverse(X_27),X_32)))]]) ).
cnf(refute_0_448,plain,
( multiply(inverse(X_27),X_32) != divide(X_32,X_27)
| divide(X_33,multiply(inverse(X_27),X_32)) != divide(X_33,multiply(inverse(X_27),X_32))
| divide(X_33,multiply(inverse(X_27),X_32)) = divide(X_33,divide(X_32,X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_33,multiply(inverse(X_27),X_32)),divide(X_33,multiply(inverse(X_27),X_32))) ),[1,1],$fot(divide(X_32,X_27))]]) ).
cnf(refute_0_449,plain,
( multiply(inverse(X_27),X_32) != divide(X_32,X_27)
| divide(X_33,multiply(inverse(X_27),X_32)) = divide(X_33,divide(X_32,X_27)) ),
inference(resolve,[$cnf( $equal(divide(X_33,multiply(inverse(X_27),X_32)),divide(X_33,multiply(inverse(X_27),X_32))) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
divide(X_33,multiply(inverse(X_27),X_32)) = divide(X_33,divide(X_32,X_27)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_27),X_32),divide(X_32,X_27)) )],[refute_0_446,refute_0_449]) ).
cnf(refute_0_451,plain,
( divide(X_33,multiply(inverse(X_27),X_32)) != divide(X_33,divide(X_32,X_27))
| divide(X_33,divide(X_32,X_27)) != multiply(divide(X_27,X_32),X_33)
| divide(X_33,multiply(inverse(X_27),X_32)) = multiply(divide(X_27,X_32),X_33) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(divide(X_33,multiply(inverse(X_27),X_32)))),bind(Y0,$fot(divide(X_33,divide(X_32,X_27)))),bind(Z0,$fot(multiply(divide(X_27,X_32),X_33)))]]) ).
cnf(refute_0_452,plain,
( divide(X_33,divide(X_32,X_27)) != multiply(divide(X_27,X_32),X_33)
| divide(X_33,multiply(inverse(X_27),X_32)) = multiply(divide(X_27,X_32),X_33) ),
inference(resolve,[$cnf( $equal(divide(X_33,multiply(inverse(X_27),X_32)),divide(X_33,divide(X_32,X_27))) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
divide(X_33,multiply(inverse(X_27),X_32)) = multiply(divide(X_27,X_32),X_33),
inference(resolve,[$cnf( $equal(divide(X_33,divide(X_32,X_27)),multiply(divide(X_27,X_32),X_33)) )],[refute_0_445,refute_0_452]) ).
cnf(refute_0_454,plain,
multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32))) = multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32))),
introduced(tautology,[refl,[$fot(multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32))))]]) ).
cnf(refute_0_455,plain,
( multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32))) != multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32)))
| divide(X_33,multiply(inverse(X_27),X_32)) != multiply(divide(X_27,X_32),X_33)
| multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32))) = multiply(X_32,multiply(divide(X_27,X_32),X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32))),multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32)))) ),[1,1],$fot(multiply(divide(X_27,X_32),X_33))]]) ).
cnf(refute_0_456,plain,
( divide(X_33,multiply(inverse(X_27),X_32)) != multiply(divide(X_27,X_32),X_33)
| multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32))) = multiply(X_32,multiply(divide(X_27,X_32),X_33)) ),
inference(resolve,[$cnf( $equal(multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32))),multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32)))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32))) = multiply(X_32,multiply(divide(X_27,X_32),X_33)),
inference(resolve,[$cnf( $equal(divide(X_33,multiply(inverse(X_27),X_32)),multiply(divide(X_27,X_32),X_33)) )],[refute_0_453,refute_0_456]) ).
cnf(refute_0_458,plain,
( multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32))) != multiply(X_27,X_33)
| multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32))) != multiply(X_32,multiply(divide(X_27,X_32),X_33))
| multiply(X_32,multiply(divide(X_27,X_32),X_33)) = multiply(X_27,X_33) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32))),multiply(X_27,X_33)) ),[0],$fot(multiply(X_32,multiply(divide(X_27,X_32),X_33)))]]) ).
cnf(refute_0_459,plain,
( multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32))) != multiply(X_27,X_33)
| multiply(X_32,multiply(divide(X_27,X_32),X_33)) = multiply(X_27,X_33) ),
inference(resolve,[$cnf( $equal(multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32))),multiply(X_32,multiply(divide(X_27,X_32),X_33))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
multiply(X_32,multiply(divide(X_27,X_32),X_33)) = multiply(X_27,X_33),
inference(resolve,[$cnf( $equal(multiply(X_32,divide(X_33,multiply(inverse(X_27),X_32))),multiply(X_27,X_33)) )],[refute_0_437,refute_0_459]) ).
cnf(refute_0_461,plain,
multiply(X_26,multiply(divide(X_69,X_26),X_71)) = multiply(X_69,X_71),
inference(subst,[],[refute_0_460:[bind(X_27,$fot(X_69)),bind(X_32,$fot(X_26)),bind(X_33,$fot(X_71))]]) ).
cnf(refute_0_462,plain,
( multiply(X_26,multiply(divide(X_69,X_26),X_71)) != multiply(X_69,X_71)
| divide(multiply(X_26,multiply(divide(X_69,X_26),X_71)),X_26) != multiply(divide(X_69,X_26),X_71)
| divide(multiply(X_69,X_71),X_26) = multiply(divide(X_69,X_26),X_71) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_26,multiply(divide(X_69,X_26),X_71)),X_26),multiply(divide(X_69,X_26),X_71)) ),[0,0],$fot(multiply(X_69,X_71))]]) ).
cnf(refute_0_463,plain,
( divide(multiply(X_26,multiply(divide(X_69,X_26),X_71)),X_26) != multiply(divide(X_69,X_26),X_71)
| divide(multiply(X_69,X_71),X_26) = multiply(divide(X_69,X_26),X_71) ),
inference(resolve,[$cnf( $equal(multiply(X_26,multiply(divide(X_69,X_26),X_71)),multiply(X_69,X_71)) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
divide(multiply(X_69,X_71),X_26) = multiply(divide(X_69,X_26),X_71),
inference(resolve,[$cnf( $equal(divide(multiply(X_26,multiply(divide(X_69,X_26),X_71)),X_26),multiply(divide(X_69,X_26),X_71)) )],[refute_0_378,refute_0_463]) ).
cnf(refute_0_465,plain,
multiply(X_70,multiply(divide(divide(X_70,X_18),X_70),X_71)) = multiply(divide(X_70,X_18),X_71),
inference(subst,[],[refute_0_460:[bind(X_27,$fot(divide(X_70,X_18))),bind(X_32,$fot(X_70)),bind(X_33,$fot(X_71))]]) ).
cnf(refute_0_466,plain,
inverse(inverse(divide(divide(X_17,X_18),X_17))) = divide(divide(X_17,X_18),X_17),
inference(subst,[],[refute_0_109:[bind(X_12,$fot(divide(divide(X_17,X_18),X_17)))]]) ).
cnf(refute_0_467,plain,
inverse(divide(divide(X_17,X_18),X_17)) = X_18,
inference(subst,[],[refute_0_98:[bind(X_8,$fot(X_17)),bind(X_9,$fot(X_18))]]) ).
cnf(refute_0_468,plain,
( inverse(divide(divide(X_17,X_18),X_17)) != X_18
| inverse(inverse(divide(divide(X_17,X_18),X_17))) != divide(divide(X_17,X_18),X_17)
| inverse(X_18) = divide(divide(X_17,X_18),X_17) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(divide(X_17,X_18),X_17))),divide(divide(X_17,X_18),X_17)) ),[0,0],$fot(X_18)]]) ).
cnf(refute_0_469,plain,
( inverse(inverse(divide(divide(X_17,X_18),X_17))) != divide(divide(X_17,X_18),X_17)
| inverse(X_18) = divide(divide(X_17,X_18),X_17) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_17,X_18),X_17)),X_18) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
inverse(X_18) = divide(divide(X_17,X_18),X_17),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(divide(X_17,X_18),X_17))),divide(divide(X_17,X_18),X_17)) )],[refute_0_466,refute_0_469]) ).
cnf(refute_0_471,plain,
inverse(X_18) = divide(divide(X_70,X_18),X_70),
inference(subst,[],[refute_0_470:[bind(X_17,$fot(X_70))]]) ).
cnf(refute_0_472,plain,
( inverse(X_18) != divide(divide(X_70,X_18),X_70)
| divide(divide(X_70,X_18),X_70) = inverse(X_18) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_18))),bind(Y0,$fot(divide(divide(X_70,X_18),X_70)))]]) ).
cnf(refute_0_473,plain,
divide(divide(X_70,X_18),X_70) = inverse(X_18),
inference(resolve,[$cnf( $equal(inverse(X_18),divide(divide(X_70,X_18),X_70)) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
( multiply(X_70,multiply(divide(divide(X_70,X_18),X_70),X_71)) != multiply(divide(X_70,X_18),X_71)
| divide(divide(X_70,X_18),X_70) != inverse(X_18)
| multiply(X_70,multiply(inverse(X_18),X_71)) = multiply(divide(X_70,X_18),X_71) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_70,multiply(divide(divide(X_70,X_18),X_70),X_71)),multiply(divide(X_70,X_18),X_71)) ),[0,1,0],$fot(inverse(X_18))]]) ).
cnf(refute_0_475,plain,
( multiply(X_70,multiply(divide(divide(X_70,X_18),X_70),X_71)) != multiply(divide(X_70,X_18),X_71)
| multiply(X_70,multiply(inverse(X_18),X_71)) = multiply(divide(X_70,X_18),X_71) ),
inference(resolve,[$cnf( $equal(divide(divide(X_70,X_18),X_70),inverse(X_18)) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
multiply(X_70,multiply(inverse(X_18),X_71)) = multiply(divide(X_70,X_18),X_71),
inference(resolve,[$cnf( $equal(multiply(X_70,multiply(divide(divide(X_70,X_18),X_70),X_71)),multiply(divide(X_70,X_18),X_71)) )],[refute_0_465,refute_0_475]) ).
cnf(refute_0_477,plain,
multiply(inverse(X_18),X_71) = divide(X_71,X_18),
inference(subst,[],[refute_0_211:[bind(X_16,$fot(X_18)),bind(X_7,$fot(X_71))]]) ).
cnf(refute_0_478,plain,
multiply(X_70,multiply(inverse(X_18),X_71)) = multiply(X_70,multiply(inverse(X_18),X_71)),
introduced(tautology,[refl,[$fot(multiply(X_70,multiply(inverse(X_18),X_71)))]]) ).
cnf(refute_0_479,plain,
( multiply(X_70,multiply(inverse(X_18),X_71)) != multiply(X_70,multiply(inverse(X_18),X_71))
| multiply(inverse(X_18),X_71) != divide(X_71,X_18)
| multiply(X_70,multiply(inverse(X_18),X_71)) = multiply(X_70,divide(X_71,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_70,multiply(inverse(X_18),X_71)),multiply(X_70,multiply(inverse(X_18),X_71))) ),[1,1],$fot(divide(X_71,X_18))]]) ).
cnf(refute_0_480,plain,
( multiply(inverse(X_18),X_71) != divide(X_71,X_18)
| multiply(X_70,multiply(inverse(X_18),X_71)) = multiply(X_70,divide(X_71,X_18)) ),
inference(resolve,[$cnf( $equal(multiply(X_70,multiply(inverse(X_18),X_71)),multiply(X_70,multiply(inverse(X_18),X_71))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
multiply(X_70,multiply(inverse(X_18),X_71)) = multiply(X_70,divide(X_71,X_18)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_18),X_71),divide(X_71,X_18)) )],[refute_0_477,refute_0_480]) ).
cnf(refute_0_482,plain,
( multiply(X_70,multiply(inverse(X_18),X_71)) != multiply(X_70,divide(X_71,X_18))
| multiply(X_70,multiply(inverse(X_18),X_71)) != multiply(divide(X_70,X_18),X_71)
| multiply(X_70,divide(X_71,X_18)) = multiply(divide(X_70,X_18),X_71) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_70,multiply(inverse(X_18),X_71)),multiply(divide(X_70,X_18),X_71)) ),[0],$fot(multiply(X_70,divide(X_71,X_18)))]]) ).
cnf(refute_0_483,plain,
( multiply(X_70,multiply(inverse(X_18),X_71)) != multiply(divide(X_70,X_18),X_71)
| multiply(X_70,divide(X_71,X_18)) = multiply(divide(X_70,X_18),X_71) ),
inference(resolve,[$cnf( $equal(multiply(X_70,multiply(inverse(X_18),X_71)),multiply(X_70,divide(X_71,X_18))) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
multiply(X_70,divide(X_71,X_18)) = multiply(divide(X_70,X_18),X_71),
inference(resolve,[$cnf( $equal(multiply(X_70,multiply(inverse(X_18),X_71)),multiply(divide(X_70,X_18),X_71)) )],[refute_0_476,refute_0_483]) ).
cnf(refute_0_485,plain,
( multiply(X_70,divide(X_71,X_18)) != multiply(divide(X_70,X_18),X_71)
| multiply(divide(X_70,X_18),X_71) = multiply(X_70,divide(X_71,X_18)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_70,divide(X_71,X_18)))),bind(Y0,$fot(multiply(divide(X_70,X_18),X_71)))]]) ).
cnf(refute_0_486,plain,
multiply(divide(X_70,X_18),X_71) = multiply(X_70,divide(X_71,X_18)),
inference(resolve,[$cnf( $equal(multiply(X_70,divide(X_71,X_18)),multiply(divide(X_70,X_18),X_71)) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
multiply(divide(X_69,X_26),X_71) = multiply(X_69,divide(X_71,X_26)),
inference(subst,[],[refute_0_486:[bind(X_18,$fot(X_26)),bind(X_70,$fot(X_69))]]) ).
cnf(refute_0_488,plain,
( multiply(divide(X_69,X_26),X_71) != multiply(X_69,divide(X_71,X_26))
| divide(multiply(X_69,X_71),X_26) != multiply(divide(X_69,X_26),X_71)
| divide(multiply(X_69,X_71),X_26) = multiply(X_69,divide(X_71,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_69,X_71),X_26),multiply(divide(X_69,X_26),X_71)) ),[1],$fot(multiply(X_69,divide(X_71,X_26)))]]) ).
cnf(refute_0_489,plain,
( divide(multiply(X_69,X_71),X_26) != multiply(divide(X_69,X_26),X_71)
| divide(multiply(X_69,X_71),X_26) = multiply(X_69,divide(X_71,X_26)) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_69,X_26),X_71),multiply(X_69,divide(X_71,X_26))) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
divide(multiply(X_69,X_71),X_26) = multiply(X_69,divide(X_71,X_26)),
inference(resolve,[$cnf( $equal(divide(multiply(X_69,X_71),X_26),multiply(divide(X_69,X_26),X_71)) )],[refute_0_464,refute_0_489]) ).
cnf(refute_0_491,plain,
divide(multiply(X_61,Y),X_61) = multiply(X_61,divide(Y,X_61)),
inference(subst,[],[refute_0_490:[bind(X_26,$fot(X_61)),bind(X_69,$fot(X_61)),bind(X_71,$fot(Y))]]) ).
cnf(refute_0_492,plain,
( multiply(X_61,divide(Y,X_61)) != Y
| divide(multiply(X_61,Y),X_61) != multiply(X_61,divide(Y,X_61))
| divide(multiply(X_61,Y),X_61) = Y ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(divide(multiply(X_61,Y),X_61))),bind(Y0,$fot(multiply(X_61,divide(Y,X_61)))),bind(Z0,$fot(Y))]]) ).
cnf(refute_0_493,plain,
( multiply(X_61,divide(Y,X_61)) != Y
| divide(multiply(X_61,Y),X_61) = Y ),
inference(resolve,[$cnf( $equal(divide(multiply(X_61,Y),X_61),multiply(X_61,divide(Y,X_61))) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
divide(multiply(X_61,Y),X_61) = Y,
inference(resolve,[$cnf( $equal(multiply(X_61,divide(Y,X_61)),Y) )],[refute_0_335,refute_0_493]) ).
cnf(refute_0_495,plain,
multiply(X_60,divide(multiply(X_61,Y),X_61)) = multiply(X_60,divide(multiply(X_61,Y),X_61)),
introduced(tautology,[refl,[$fot(multiply(X_60,divide(multiply(X_61,Y),X_61)))]]) ).
cnf(refute_0_496,plain,
( multiply(X_60,divide(multiply(X_61,Y),X_61)) != multiply(X_60,divide(multiply(X_61,Y),X_61))
| divide(multiply(X_61,Y),X_61) != Y
| multiply(X_60,divide(multiply(X_61,Y),X_61)) = multiply(X_60,Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_60,divide(multiply(X_61,Y),X_61)),multiply(X_60,divide(multiply(X_61,Y),X_61))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_497,plain,
( divide(multiply(X_61,Y),X_61) != Y
| multiply(X_60,divide(multiply(X_61,Y),X_61)) = multiply(X_60,Y) ),
inference(resolve,[$cnf( $equal(multiply(X_60,divide(multiply(X_61,Y),X_61)),multiply(X_60,divide(multiply(X_61,Y),X_61))) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
multiply(X_60,divide(multiply(X_61,Y),X_61)) = multiply(X_60,Y),
inference(resolve,[$cnf( $equal(divide(multiply(X_61,Y),X_61),Y) )],[refute_0_494,refute_0_497]) ).
cnf(refute_0_499,plain,
divide(multiply(X_60,multiply(X_61,Y)),X_61) = multiply(X_60,divide(multiply(X_61,Y),X_61)),
inference(subst,[],[refute_0_490:[bind(X_26,$fot(X_61)),bind(X_69,$fot(X_60)),bind(X_71,$fot(multiply(X_61,Y)))]]) ).
cnf(refute_0_500,plain,
( multiply(X_60,divide(multiply(X_61,Y),X_61)) != multiply(X_60,Y)
| divide(multiply(X_60,multiply(X_61,Y)),X_61) != multiply(X_60,divide(multiply(X_61,Y),X_61))
| divide(multiply(X_60,multiply(X_61,Y)),X_61) = multiply(X_60,Y) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(divide(multiply(X_60,multiply(X_61,Y)),X_61))),bind(Y0,$fot(multiply(X_60,divide(multiply(X_61,Y),X_61)))),bind(Z0,$fot(multiply(X_60,Y)))]]) ).
cnf(refute_0_501,plain,
( multiply(X_60,divide(multiply(X_61,Y),X_61)) != multiply(X_60,Y)
| divide(multiply(X_60,multiply(X_61,Y)),X_61) = multiply(X_60,Y) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_60,multiply(X_61,Y)),X_61),multiply(X_60,divide(multiply(X_61,Y),X_61))) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
divide(multiply(X_60,multiply(X_61,Y)),X_61) = multiply(X_60,Y),
inference(resolve,[$cnf( $equal(multiply(X_60,divide(multiply(X_61,Y),X_61)),multiply(X_60,Y)) )],[refute_0_498,refute_0_501]) ).
cnf(refute_0_503,plain,
( multiply(Y,X_60) != divide(multiply(X_60,multiply(X_61,Y)),X_61)
| divide(multiply(X_60,multiply(X_61,Y)),X_61) != multiply(X_60,Y)
| multiply(Y,X_60) = multiply(X_60,Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(Y,X_60),multiply(X_60,Y)) ),[0],$fot(divide(multiply(X_60,multiply(X_61,Y)),X_61))]]) ).
cnf(refute_0_504,plain,
( multiply(Y,X_60) != divide(multiply(X_60,multiply(X_61,Y)),X_61)
| multiply(Y,X_60) = multiply(X_60,Y) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_60,multiply(X_61,Y)),X_61),multiply(X_60,Y)) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
multiply(Y,X_60) = multiply(X_60,Y),
inference(resolve,[$cnf( $equal(multiply(Y,X_60),divide(multiply(X_60,multiply(X_61,Y)),X_61)) )],[refute_0_334,refute_0_504]) ).
cnf(refute_0_506,plain,
( multiply(Y,X_60) != multiply(X_60,Y)
| multiply(X_60,Y) = multiply(Y,X_60) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(Y,X_60))),bind(Y0,$fot(multiply(X_60,Y)))]]) ).
cnf(refute_0_507,plain,
multiply(X_60,Y) = multiply(Y,X_60),
inference(resolve,[$cnf( $equal(multiply(Y,X_60),multiply(X_60,Y)) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(subst,[],[refute_0_507:[bind(Y,$fot(a1)),bind(X_60,$fot(inverse(a1)))]]) ).
cnf(refute_0_509,plain,
( multiply(a1,inverse(a1)) != identity
| multiply(inverse(a1),a1) != multiply(a1,inverse(a1))
| multiply(inverse(a1),a1) = identity ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(inverse(a1),a1))),bind(Y0,$fot(multiply(a1,inverse(a1)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_510,plain,
( multiply(a1,inverse(a1)) != identity
| multiply(inverse(a1),a1) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
multiply(inverse(a1),a1) = identity,
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),identity) )],[refute_0_117,refute_0_510]) ).
cnf(refute_0_512,plain,
( multiply(inverse(a1),a1) != identity
| identity != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) ),[0],$fot(identity)]]) ).
cnf(refute_0_513,plain,
( identity != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
divide(b1,b1) = identity,
inference(subst,[],[refute_0_4:[bind(X,$fot(b1))]]) ).
cnf(refute_0_515,plain,
multiply(b1,inverse(b1)) = divide(b1,b1),
inference(subst,[],[refute_0_113:[bind(X,$fot(b1)),bind(X_13,$fot(b1))]]) ).
cnf(refute_0_516,plain,
( multiply(b1,inverse(b1)) != divide(b1,b1)
| divide(b1,b1) != identity
| multiply(b1,inverse(b1)) = identity ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(b1,inverse(b1)))),bind(Y0,$fot(divide(b1,b1))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_517,plain,
( divide(b1,b1) != identity
| multiply(b1,inverse(b1)) = identity ),
inference(resolve,[$cnf( $equal(multiply(b1,inverse(b1)),divide(b1,b1)) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
multiply(b1,inverse(b1)) = identity,
inference(resolve,[$cnf( $equal(divide(b1,b1),identity) )],[refute_0_514,refute_0_517]) ).
cnf(refute_0_519,plain,
multiply(inverse(b1),b1) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_507:[bind(Y,$fot(b1)),bind(X_60,$fot(inverse(b1)))]]) ).
cnf(refute_0_520,plain,
( multiply(b1,inverse(b1)) != identity
| multiply(inverse(b1),b1) != multiply(b1,inverse(b1))
| multiply(inverse(b1),b1) = identity ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(inverse(b1),b1))),bind(Y0,$fot(multiply(b1,inverse(b1)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_521,plain,
( multiply(b1,inverse(b1)) != identity
| multiply(inverse(b1),b1) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),multiply(b1,inverse(b1))) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
multiply(inverse(b1),b1) = identity,
inference(resolve,[$cnf( $equal(multiply(b1,inverse(b1)),identity) )],[refute_0_518,refute_0_521]) ).
cnf(refute_0_523,plain,
( multiply(inverse(b1),b1) != identity
| identity != identity
| identity = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(identity,multiply(inverse(b1),b1)) ),[1],$fot(identity)]]) ).
cnf(refute_0_524,plain,
( identity != identity
| identity = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),identity) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
( identity != identity
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(identity,multiply(inverse(b1),b1)) )],[refute_0_524,refute_0_513]) ).
cnf(refute_0_526,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a4,b4) != multiply(b4,a4)
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_525,prove_these_axioms]) ).
cnf(refute_0_527,plain,
multiply(b4,a4) = multiply(a4,b4),
inference(subst,[],[refute_0_507:[bind(Y,$fot(a4)),bind(X_60,$fot(b4))]]) ).
cnf(refute_0_528,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(b4,a4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a4,b4),multiply(b4,a4)) ),[1],$fot(multiply(a4,b4))]]) ).
cnf(refute_0_529,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(b4,a4),multiply(a4,b4)) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a4,b4) != multiply(a4,b4)
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(b4,a4)) )],[refute_0_529,refute_0_526]) ).
cnf(refute_0_531,plain,
multiply(a2,identity) = a2,
inference(subst,[],[refute_0_105:[bind(X_9,$fot(a2))]]) ).
cnf(refute_0_532,plain,
divide(b2,b2) = identity,
inference(subst,[],[refute_0_4:[bind(X,$fot(b2))]]) ).
cnf(refute_0_533,plain,
multiply(b2,inverse(b2)) = divide(b2,b2),
inference(subst,[],[refute_0_113:[bind(X,$fot(b2)),bind(X_13,$fot(b2))]]) ).
cnf(refute_0_534,plain,
( multiply(b2,inverse(b2)) != divide(b2,b2)
| divide(b2,b2) != identity
| multiply(b2,inverse(b2)) = identity ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(b2,inverse(b2)))),bind(Y0,$fot(divide(b2,b2))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_535,plain,
( divide(b2,b2) != identity
| multiply(b2,inverse(b2)) = identity ),
inference(resolve,[$cnf( $equal(multiply(b2,inverse(b2)),divide(b2,b2)) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
multiply(b2,inverse(b2)) = identity,
inference(resolve,[$cnf( $equal(divide(b2,b2),identity) )],[refute_0_532,refute_0_535]) ).
cnf(refute_0_537,plain,
multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,multiply(b2,inverse(b2))),
introduced(tautology,[refl,[$fot(multiply(a2,multiply(b2,inverse(b2))))]]) ).
cnf(refute_0_538,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_539,plain,
( multiply(b2,inverse(b2)) != identity
| multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,identity) ),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,identity),
inference(resolve,[$cnf( $equal(multiply(b2,inverse(b2)),identity) )],[refute_0_536,refute_0_539]) ).
cnf(refute_0_541,plain,
( multiply(a2,multiply(b2,inverse(b2))) != multiply(a2,identity)
| multiply(a2,identity) != a2
| multiply(a2,multiply(b2,inverse(b2))) = a2 ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(a2,multiply(b2,inverse(b2))))),bind(Y0,$fot(multiply(a2,identity))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_542,plain,
( multiply(a2,identity) != a2
| multiply(a2,multiply(b2,inverse(b2))) = a2 ),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),multiply(a2,identity)) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
multiply(a2,multiply(b2,inverse(b2))) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,identity),a2) )],[refute_0_531,refute_0_542]) ).
cnf(refute_0_544,plain,
multiply(X_70,multiply(divide(multiply(X_18,X_70),X_70),X_71)) = multiply(multiply(X_18,X_70),X_71),
inference(subst,[],[refute_0_460:[bind(X_27,$fot(multiply(X_18,X_70))),bind(X_32,$fot(X_70)),bind(X_33,$fot(X_71))]]) ).
cnf(refute_0_545,plain,
divide(multiply(X_18,X_70),X_70) = X_18,
inference(subst,[],[refute_0_370:[bind(Y,$fot(X_70))]]) ).
cnf(refute_0_546,plain,
( multiply(X_70,multiply(divide(multiply(X_18,X_70),X_70),X_71)) != multiply(multiply(X_18,X_70),X_71)
| divide(multiply(X_18,X_70),X_70) != X_18
| multiply(X_70,multiply(X_18,X_71)) = multiply(multiply(X_18,X_70),X_71) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_70,multiply(divide(multiply(X_18,X_70),X_70),X_71)),multiply(multiply(X_18,X_70),X_71)) ),[0,1,0],$fot(X_18)]]) ).
cnf(refute_0_547,plain,
( multiply(X_70,multiply(divide(multiply(X_18,X_70),X_70),X_71)) != multiply(multiply(X_18,X_70),X_71)
| multiply(X_70,multiply(X_18,X_71)) = multiply(multiply(X_18,X_70),X_71) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_18,X_70),X_70),X_18) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
multiply(X_70,multiply(X_18,X_71)) = multiply(multiply(X_18,X_70),X_71),
inference(resolve,[$cnf( $equal(multiply(X_70,multiply(divide(multiply(X_18,X_70),X_70),X_71)),multiply(multiply(X_18,X_70),X_71)) )],[refute_0_544,refute_0_547]) ).
cnf(refute_0_549,plain,
multiply(X_70,multiply(divide(multiply(X_70,X_27),X_70),X_71)) = multiply(multiply(X_70,X_27),X_71),
inference(subst,[],[refute_0_460:[bind(X_27,$fot(multiply(X_70,X_27))),bind(X_32,$fot(X_70)),bind(X_33,$fot(X_71))]]) ).
cnf(refute_0_550,plain,
divide(multiply(X_70,X_27),X_70) = X_27,
inference(subst,[],[refute_0_377:[bind(X_26,$fot(X_70))]]) ).
cnf(refute_0_551,plain,
( multiply(X_70,multiply(divide(multiply(X_70,X_27),X_70),X_71)) != multiply(multiply(X_70,X_27),X_71)
| divide(multiply(X_70,X_27),X_70) != X_27
| multiply(X_70,multiply(X_27,X_71)) = multiply(multiply(X_70,X_27),X_71) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_70,multiply(divide(multiply(X_70,X_27),X_70),X_71)),multiply(multiply(X_70,X_27),X_71)) ),[0,1,0],$fot(X_27)]]) ).
cnf(refute_0_552,plain,
( multiply(X_70,multiply(divide(multiply(X_70,X_27),X_70),X_71)) != multiply(multiply(X_70,X_27),X_71)
| multiply(X_70,multiply(X_27,X_71)) = multiply(multiply(X_70,X_27),X_71) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_70,X_27),X_70),X_27) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
multiply(X_70,multiply(X_27,X_71)) = multiply(multiply(X_70,X_27),X_71),
inference(resolve,[$cnf( $equal(multiply(X_70,multiply(divide(multiply(X_70,X_27),X_70),X_71)),multiply(multiply(X_70,X_27),X_71)) )],[refute_0_549,refute_0_552]) ).
cnf(refute_0_554,plain,
( multiply(X_70,multiply(X_27,X_71)) != multiply(multiply(X_70,X_27),X_71)
| multiply(multiply(X_70,X_27),X_71) = multiply(X_70,multiply(X_27,X_71)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_70,multiply(X_27,X_71)))),bind(Y0,$fot(multiply(multiply(X_70,X_27),X_71)))]]) ).
cnf(refute_0_555,plain,
multiply(multiply(X_70,X_27),X_71) = multiply(X_70,multiply(X_27,X_71)),
inference(resolve,[$cnf( $equal(multiply(X_70,multiply(X_27,X_71)),multiply(multiply(X_70,X_27),X_71)) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
multiply(multiply(X_18,X_70),X_71) = multiply(X_18,multiply(X_70,X_71)),
inference(subst,[],[refute_0_555:[bind(X_27,$fot(X_70)),bind(X_70,$fot(X_18))]]) ).
cnf(refute_0_557,plain,
( multiply(X_70,multiply(X_18,X_71)) != multiply(multiply(X_18,X_70),X_71)
| multiply(multiply(X_18,X_70),X_71) != multiply(X_18,multiply(X_70,X_71))
| multiply(X_70,multiply(X_18,X_71)) = multiply(X_18,multiply(X_70,X_71)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_70,multiply(X_18,X_71)),multiply(X_18,multiply(X_70,X_71))) ),[0],$fot(multiply(multiply(X_18,X_70),X_71))]]) ).
cnf(refute_0_558,plain,
( multiply(X_70,multiply(X_18,X_71)) != multiply(multiply(X_18,X_70),X_71)
| multiply(X_70,multiply(X_18,X_71)) = multiply(X_18,multiply(X_70,X_71)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_18,X_70),X_71),multiply(X_18,multiply(X_70,X_71))) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
multiply(X_70,multiply(X_18,X_71)) = multiply(X_18,multiply(X_70,X_71)),
inference(resolve,[$cnf( $equal(multiply(X_70,multiply(X_18,X_71)),multiply(multiply(X_18,X_70),X_71)) )],[refute_0_548,refute_0_558]) ).
cnf(refute_0_560,plain,
( multiply(X_70,multiply(X_18,X_71)) != multiply(X_18,multiply(X_70,X_71))
| multiply(X_18,multiply(X_70,X_71)) = multiply(X_70,multiply(X_18,X_71)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_70,multiply(X_18,X_71)))),bind(Y0,$fot(multiply(X_18,multiply(X_70,X_71))))]]) ).
cnf(refute_0_561,plain,
multiply(X_18,multiply(X_70,X_71)) = multiply(X_70,multiply(X_18,X_71)),
inference(resolve,[$cnf( $equal(multiply(X_70,multiply(X_18,X_71)),multiply(X_18,multiply(X_70,X_71))) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
multiply(b2,multiply(a2,inverse(b2))) = multiply(a2,multiply(b2,inverse(b2))),
inference(subst,[],[refute_0_561:[bind(X_18,$fot(b2)),bind(X_70,$fot(a2)),bind(X_71,$fot(inverse(b2)))]]) ).
cnf(refute_0_563,plain,
multiply(X,multiply(X_50,X_51)) = divide(X,inverse(multiply(X_50,X_51))),
inference(subst,[],[refute_0_15:[bind(Y,$fot(multiply(X_50,X_51)))]]) ).
cnf(refute_0_564,plain,
inverse(multiply(X_27,X_35)) = divide(divide(X_35,multiply(X_27,X_35)),X_35),
inference(subst,[],[refute_0_470:[bind(X_17,$fot(X_35)),bind(X_18,$fot(multiply(X_27,X_35)))]]) ).
cnf(refute_0_565,plain,
inverse(X_27) = divide(X_35,multiply(X_27,X_35)),
inference(subst,[],[refute_0_431:[bind(X_17,$fot(X_35))]]) ).
cnf(refute_0_566,plain,
( inverse(X_27) != divide(X_35,multiply(X_27,X_35))
| divide(X_35,multiply(X_27,X_35)) = inverse(X_27) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_27))),bind(Y0,$fot(divide(X_35,multiply(X_27,X_35))))]]) ).
cnf(refute_0_567,plain,
divide(X_35,multiply(X_27,X_35)) = inverse(X_27),
inference(resolve,[$cnf( $equal(inverse(X_27),divide(X_35,multiply(X_27,X_35))) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
( divide(X_35,multiply(X_27,X_35)) != inverse(X_27)
| inverse(multiply(X_27,X_35)) != divide(divide(X_35,multiply(X_27,X_35)),X_35)
| inverse(multiply(X_27,X_35)) = divide(inverse(X_27),X_35) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_27,X_35)),divide(divide(X_35,multiply(X_27,X_35)),X_35)) ),[1,0],$fot(inverse(X_27))]]) ).
cnf(refute_0_569,plain,
( inverse(multiply(X_27,X_35)) != divide(divide(X_35,multiply(X_27,X_35)),X_35)
| inverse(multiply(X_27,X_35)) = divide(inverse(X_27),X_35) ),
inference(resolve,[$cnf( $equal(divide(X_35,multiply(X_27,X_35)),inverse(X_27)) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
inverse(multiply(X_27,X_35)) = divide(inverse(X_27),X_35),
inference(resolve,[$cnf( $equal(inverse(multiply(X_27,X_35)),divide(divide(X_35,multiply(X_27,X_35)),X_35)) )],[refute_0_564,refute_0_569]) ).
cnf(refute_0_571,plain,
divide(inverse(X_27),X_35) = inverse(multiply(X_35,X_27)),
inference(subst,[],[refute_0_266:[bind(Y,$fot(X_27)),bind(X_25,$fot(X_35))]]) ).
cnf(refute_0_572,plain,
( divide(inverse(X_27),X_35) != inverse(multiply(X_35,X_27))
| inverse(multiply(X_27,X_35)) != divide(inverse(X_27),X_35)
| inverse(multiply(X_27,X_35)) = inverse(multiply(X_35,X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_27,X_35)),divide(inverse(X_27),X_35)) ),[1],$fot(inverse(multiply(X_35,X_27)))]]) ).
cnf(refute_0_573,plain,
( inverse(multiply(X_27,X_35)) != divide(inverse(X_27),X_35)
| inverse(multiply(X_27,X_35)) = inverse(multiply(X_35,X_27)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_27),X_35),inverse(multiply(X_35,X_27))) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
inverse(multiply(X_27,X_35)) = inverse(multiply(X_35,X_27)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_27,X_35)),divide(inverse(X_27),X_35)) )],[refute_0_570,refute_0_573]) ).
cnf(refute_0_575,plain,
inverse(multiply(X_50,X_51)) = inverse(multiply(X_51,X_50)),
inference(subst,[],[refute_0_574:[bind(X_27,$fot(X_50)),bind(X_35,$fot(X_51))]]) ).
cnf(refute_0_576,plain,
( multiply(X,multiply(X_50,X_51)) != divide(X,inverse(multiply(X_50,X_51)))
| inverse(multiply(X_50,X_51)) != inverse(multiply(X_51,X_50))
| multiply(X,multiply(X_50,X_51)) = divide(X,inverse(multiply(X_51,X_50))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_50,X_51)),divide(X,inverse(multiply(X_50,X_51)))) ),[1,1],$fot(inverse(multiply(X_51,X_50)))]]) ).
cnf(refute_0_577,plain,
( multiply(X,multiply(X_50,X_51)) != divide(X,inverse(multiply(X_50,X_51)))
| multiply(X,multiply(X_50,X_51)) = divide(X,inverse(multiply(X_51,X_50))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_50,X_51)),inverse(multiply(X_51,X_50))) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
multiply(X,multiply(X_50,X_51)) = divide(X,inverse(multiply(X_51,X_50))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_50,X_51)),divide(X,inverse(multiply(X_50,X_51)))) )],[refute_0_563,refute_0_577]) ).
cnf(refute_0_579,plain,
divide(X,inverse(multiply(X_51,X_50))) = multiply(X,multiply(X_51,X_50)),
inference(subst,[],[refute_0_33:[bind(Y,$fot(multiply(X_51,X_50)))]]) ).
cnf(refute_0_580,plain,
( multiply(X,multiply(X_50,X_51)) != divide(X,inverse(multiply(X_51,X_50)))
| divide(X,inverse(multiply(X_51,X_50))) != multiply(X,multiply(X_51,X_50))
| multiply(X,multiply(X_50,X_51)) = multiply(X,multiply(X_51,X_50)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,multiply(X_50,X_51)),multiply(X,multiply(X_51,X_50))) ),[0],$fot(divide(X,inverse(multiply(X_51,X_50))))]]) ).
cnf(refute_0_581,plain,
( multiply(X,multiply(X_50,X_51)) != divide(X,inverse(multiply(X_51,X_50)))
| multiply(X,multiply(X_50,X_51)) = multiply(X,multiply(X_51,X_50)) ),
inference(resolve,[$cnf( $equal(divide(X,inverse(multiply(X_51,X_50))),multiply(X,multiply(X_51,X_50))) )],[refute_0_579,refute_0_580]) ).
cnf(refute_0_582,plain,
multiply(X,multiply(X_50,X_51)) = multiply(X,multiply(X_51,X_50)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_50,X_51)),divide(X,inverse(multiply(X_51,X_50)))) )],[refute_0_578,refute_0_581]) ).
cnf(refute_0_583,plain,
( multiply(X,multiply(X_50,X_51)) != multiply(X,multiply(X_51,X_50))
| multiply(X,multiply(X_51,X_50)) = multiply(X,multiply(X_50,X_51)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,multiply(X_50,X_51)))),bind(Y0,$fot(multiply(X,multiply(X_51,X_50))))]]) ).
cnf(refute_0_584,plain,
multiply(X,multiply(X_51,X_50)) = multiply(X,multiply(X_50,X_51)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_50,X_51)),multiply(X,multiply(X_51,X_50))) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
multiply(b2,multiply(inverse(b2),a2)) = multiply(b2,multiply(a2,inverse(b2))),
inference(subst,[],[refute_0_584:[bind(X,$fot(b2)),bind(X_50,$fot(a2)),bind(X_51,$fot(inverse(b2)))]]) ).
cnf(refute_0_586,plain,
( multiply(b2,multiply(a2,inverse(b2))) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(b2,multiply(inverse(b2),a2)) != multiply(b2,multiply(a2,inverse(b2)))
| multiply(b2,multiply(inverse(b2),a2)) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(b2,multiply(inverse(b2),a2)))),bind(Y0,$fot(multiply(b2,multiply(a2,inverse(b2))))),bind(Z0,$fot(multiply(a2,multiply(b2,inverse(b2)))))]]) ).
cnf(refute_0_587,plain,
( multiply(b2,multiply(a2,inverse(b2))) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(b2,multiply(inverse(b2),a2)) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(resolve,[$cnf( $equal(multiply(b2,multiply(inverse(b2),a2)),multiply(b2,multiply(a2,inverse(b2)))) )],[refute_0_585,refute_0_586]) ).
cnf(refute_0_588,plain,
multiply(b2,multiply(inverse(b2),a2)) = multiply(a2,multiply(b2,inverse(b2))),
inference(resolve,[$cnf( $equal(multiply(b2,multiply(a2,inverse(b2))),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_562,refute_0_587]) ).
cnf(refute_0_589,plain,
multiply(inverse(b2),multiply(b2,a2)) = multiply(b2,multiply(inverse(b2),a2)),
inference(subst,[],[refute_0_561:[bind(X_18,$fot(inverse(b2))),bind(X_70,$fot(b2)),bind(X_71,$fot(a2))]]) ).
cnf(refute_0_590,plain,
( multiply(b2,multiply(inverse(b2),a2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(inverse(b2),multiply(b2,a2)) != multiply(b2,multiply(inverse(b2),a2))
| multiply(inverse(b2),multiply(b2,a2)) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(inverse(b2),multiply(b2,a2)))),bind(Y0,$fot(multiply(b2,multiply(inverse(b2),a2)))),bind(Z0,$fot(multiply(a2,multiply(b2,inverse(b2)))))]]) ).
cnf(refute_0_591,plain,
( multiply(b2,multiply(inverse(b2),a2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(inverse(b2),multiply(b2,a2)) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b2),multiply(b2,a2)),multiply(b2,multiply(inverse(b2),a2))) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
multiply(inverse(b2),multiply(b2,a2)) = multiply(a2,multiply(b2,inverse(b2))),
inference(resolve,[$cnf( $equal(multiply(b2,multiply(inverse(b2),a2)),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_588,refute_0_591]) ).
cnf(refute_0_593,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(inverse(b2),multiply(b2,a2)),
inference(subst,[],[refute_0_555:[bind(X_27,$fot(b2)),bind(X_70,$fot(inverse(b2))),bind(X_71,$fot(a2))]]) ).
cnf(refute_0_594,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(inverse(b2),multiply(b2,a2))
| multiply(inverse(b2),multiply(b2,a2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y0,$fot(multiply(inverse(b2),multiply(b2,a2)))),bind(Z0,$fot(multiply(a2,multiply(b2,inverse(b2)))))]]) ).
cnf(refute_0_595,plain,
( multiply(inverse(b2),multiply(b2,a2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(inverse(b2),multiply(b2,a2))) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))),
inference(resolve,[$cnf( $equal(multiply(inverse(b2),multiply(b2,a2)),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_592,refute_0_595]) ).
cnf(refute_0_597,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(a2,multiply(b2,inverse(b2))) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(subst,[],[refute_0_41:[bind(X0,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y0,$fot(multiply(a2,multiply(b2,inverse(b2))))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_598,plain,
( multiply(a2,multiply(b2,inverse(b2))) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
multiply(multiply(inverse(b2),b2),a2) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),a2) )],[refute_0_543,refute_0_598]) ).
cnf(refute_0_600,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_601,plain,
( a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_599,refute_0_600]) ).
cnf(refute_0_602,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4)
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_601,refute_0_530]) ).
cnf(refute_0_603,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_555:[bind(X_27,$fot(b3)),bind(X_70,$fot(a3)),bind(X_71,$fot(c3))]]) ).
cnf(refute_0_604,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_605,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_603,refute_0_604]) ).
cnf(refute_0_606,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4)
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_605,refute_0_602]) ).
cnf(refute_0_607,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_608,plain,
( multiply(a4,b4) != multiply(a4,b4)
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_607,refute_0_606]) ).
cnf(refute_0_609,plain,
multiply(a4,b4) = multiply(a4,b4),
introduced(tautology,[refl,[$fot(multiply(a4,b4))]]) ).
cnf(refute_0_610,plain,
( a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(a4,b4)) )],[refute_0_609,refute_0_608]) ).
cnf(refute_0_611,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_612,plain,
identity != identity,
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_611,refute_0_610]) ).
cnf(refute_0_613,plain,
identity = identity,
introduced(tautology,[refl,[$fot(identity)]]) ).
cnf(refute_0_614,plain,
$false,
inference(resolve,[$cnf( $equal(identity,identity) )],[refute_0_613,refute_0_612]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP094-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.10/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 09:09:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53
% 0.19/0.53 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.44/0.61
%------------------------------------------------------------------------------