%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP095-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 10:34:42 EDT 2022
% Result : Unsatisfiable 0.21s 0.56s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 86
% Number of leaves : 154
% Syntax : Number of clauses : 687 ( 347 unt; 0 nHn; 356 RR)
% Number of literals : 1184 (1183 equ; 505 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 1449 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y)) = 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( $equal(multiply(X,Y),divide(X,divide(identity,Y))) )],[multiply,refute_0_14]) ).
cnf(refute_0_16,plain,
multiply(X,inverse(X_12)) = divide(X,inverse(inverse(X_12))),
inference(subst,[],[refute_0_15:[bind(Y,$fot(inverse(X_12)))]]) ).
cnf(refute_0_17,plain,
divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y)) = divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y)),
introduced(tautology,[refl,[$fot(divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y)))]]) ).
cnf(refute_0_18,plain,
( divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y)) != divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y))
| divide(identity,X) != inverse(X)
| divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y)) = divide(inverse(X),divide(divide(divide(Y,X),Z),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y)),divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y))) ),[1,0],$fot(inverse(X))]]) ).
cnf(refute_0_19,plain,
( divide(identity,X) != inverse(X)
| divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y)) = divide(inverse(X),divide(divide(divide(Y,X),Z),Y)) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y)),divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y)) = divide(inverse(X),divide(divide(divide(Y,X),Z),Y)),
inference(resolve,[$cnf( $equal(divide(identity,X),inverse(X)) )],[refute_0_7,refute_0_19]) ).
cnf(refute_0_21,plain,
( divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y)) != Z
| divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y)) != divide(inverse(X),divide(divide(divide(Y,X),Z),Y))
| divide(inverse(X),divide(divide(divide(Y,X),Z),Y)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y)),Z) ),[0],$fot(divide(inverse(X),divide(divide(divide(Y,X),Z),Y)))]]) ).
cnf(refute_0_22,plain,
( divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y)) != Z
| divide(inverse(X),divide(divide(divide(Y,X),Z),Y)) = Z ),
inference(resolve,[$cnf( $equal(divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y)),divide(inverse(X),divide(divide(divide(Y,X),Z),Y))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
divide(inverse(X),divide(divide(divide(Y,X),Z),Y)) = Z,
inference(resolve,[$cnf( $equal(divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y)),Z) )],[single_axiom,refute_0_22]) ).
cnf(refute_0_24,plain,
divide(inverse(X_7),divide(divide(divide(X_7,X_7),X_9),X_7)) = X_9,
inference(subst,[],[refute_0_23:[bind(X,$fot(X_7)),bind(Y,$fot(X_7)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_25,plain,
identity = divide(X_7,X_7),
inference(subst,[],[identity:[bind(X,$fot(X_7))]]) ).
cnf(refute_0_26,plain,
( identity != divide(X_7,X_7)
| divide(X_7,X_7) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(X_7,X_7)))]]) ).
cnf(refute_0_27,plain,
divide(X_7,X_7) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_7,X_7)) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
( divide(X_7,X_7) != identity
| divide(inverse(X_7),divide(divide(divide(X_7,X_7),X_9),X_7)) != X_9
| divide(inverse(X_7),divide(divide(identity,X_9),X_7)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),divide(divide(divide(X_7,X_7),X_9),X_7)),X_9) ),[0,1,0,0],$fot(identity)]]) ).
cnf(refute_0_29,plain,
( divide(inverse(X_7),divide(divide(divide(X_7,X_7),X_9),X_7)) != X_9
| divide(inverse(X_7),divide(divide(identity,X_9),X_7)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(X_7,X_7),identity) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
divide(inverse(X_7),divide(divide(identity,X_9),X_7)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(divide(divide(X_7,X_7),X_9),X_7)),X_9) )],[refute_0_24,refute_0_29]) ).
cnf(refute_0_31,plain,
divide(identity,X_9) = inverse(X_9),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_9))]]) ).
cnf(refute_0_32,plain,
divide(divide(identity,X_9),X_7) = divide(divide(identity,X_9),X_7),
introduced(tautology,[refl,[$fot(divide(divide(identity,X_9),X_7))]]) ).
cnf(refute_0_33,plain,
( divide(divide(identity,X_9),X_7) != divide(divide(identity,X_9),X_7)
| divide(identity,X_9) != inverse(X_9)
| divide(divide(identity,X_9),X_7) = divide(inverse(X_9),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,X_9),X_7),divide(divide(identity,X_9),X_7)) ),[1,0],$fot(inverse(X_9))]]) ).
cnf(refute_0_34,plain,
( divide(identity,X_9) != inverse(X_9)
| divide(divide(identity,X_9),X_7) = divide(inverse(X_9),X_7) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,X_9),X_7),divide(divide(identity,X_9),X_7)) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
divide(divide(identity,X_9),X_7) = divide(inverse(X_9),X_7),
inference(resolve,[$cnf( $equal(divide(identity,X_9),inverse(X_9)) )],[refute_0_31,refute_0_34]) ).
cnf(refute_0_36,plain,
divide(inverse(X_7),divide(divide(identity,X_9),X_7)) = divide(inverse(X_7),divide(divide(identity,X_9),X_7)),
introduced(tautology,[refl,[$fot(divide(inverse(X_7),divide(divide(identity,X_9),X_7)))]]) ).
cnf(refute_0_37,plain,
( divide(divide(identity,X_9),X_7) != divide(inverse(X_9),X_7)
| divide(inverse(X_7),divide(divide(identity,X_9),X_7)) != divide(inverse(X_7),divide(divide(identity,X_9),X_7))
| divide(inverse(X_7),divide(divide(identity,X_9),X_7)) = divide(inverse(X_7),divide(inverse(X_9),X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),divide(divide(identity,X_9),X_7)),divide(inverse(X_7),divide(divide(identity,X_9),X_7))) ),[1,1],$fot(divide(inverse(X_9),X_7))]]) ).
cnf(refute_0_38,plain,
( divide(divide(identity,X_9),X_7) != divide(inverse(X_9),X_7)
| divide(inverse(X_7),divide(divide(identity,X_9),X_7)) = divide(inverse(X_7),divide(inverse(X_9),X_7)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(divide(identity,X_9),X_7)),divide(inverse(X_7),divide(divide(identity,X_9),X_7))) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
divide(inverse(X_7),divide(divide(identity,X_9),X_7)) = divide(inverse(X_7),divide(inverse(X_9),X_7)),
inference(resolve,[$cnf( $equal(divide(divide(identity,X_9),X_7),divide(inverse(X_9),X_7)) )],[refute_0_35,refute_0_38]) ).
cnf(refute_0_40,plain,
( divide(inverse(X_7),divide(divide(identity,X_9),X_7)) != X_9
| divide(inverse(X_7),divide(divide(identity,X_9),X_7)) != divide(inverse(X_7),divide(inverse(X_9),X_7))
| divide(inverse(X_7),divide(inverse(X_9),X_7)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),divide(divide(identity,X_9),X_7)),X_9) ),[0],$fot(divide(inverse(X_7),divide(inverse(X_9),X_7)))]]) ).
cnf(refute_0_41,plain,
( divide(inverse(X_7),divide(divide(identity,X_9),X_7)) != X_9
| divide(inverse(X_7),divide(inverse(X_9),X_7)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(divide(identity,X_9),X_7)),divide(inverse(X_7),divide(inverse(X_9),X_7))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
divide(inverse(X_7),divide(inverse(X_9),X_7)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(divide(identity,X_9),X_7)),X_9) )],[refute_0_30,refute_0_41]) ).
cnf(refute_0_43,plain,
divide(inverse(identity),divide(inverse(X_11),identity)) = X_11,
inference(subst,[],[refute_0_42:[bind(X_7,$fot(identity)),bind(X_9,$fot(X_11))]]) ).
cnf(refute_0_44,plain,
multiply(X_2,identity) = divide(X_2,inverse(identity)),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_2)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_45,plain,
identity = divide(identity,identity),
inference(subst,[],[identity:[bind(X,$fot(identity))]]) ).
cnf(refute_0_46,plain,
inverse(identity) = divide(identity,identity),
inference(subst,[],[inverse:[bind(X,$fot(identity))]]) ).
cnf(refute_0_47,plain,
( inverse(identity) != divide(identity,identity)
| divide(identity,identity) = inverse(identity) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(identity))),bind(Y0,$fot(divide(identity,identity)))]]) ).
cnf(refute_0_48,plain,
divide(identity,identity) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),divide(identity,identity)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
( divide(identity,identity) != inverse(identity)
| identity != divide(identity,identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(identity,divide(identity,identity)) ),[1],$fot(inverse(identity))]]) ).
cnf(refute_0_50,plain,
( identity != divide(identity,identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(divide(identity,identity),inverse(identity)) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(identity,divide(identity,identity)) )],[refute_0_45,refute_0_50]) ).
cnf(refute_0_52,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(inverse(identity)))]]) ).
cnf(refute_0_53,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| inverse(identity) != identity
| multiply(X_2,identity) = divide(X_2,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_55,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| multiply(X_2,identity) = divide(X_2,identity) ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
multiply(X_2,identity) = divide(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) )],[refute_0_44,refute_0_55]) ).
cnf(refute_0_57,plain,
multiply(inverse(X_11),identity) = divide(inverse(X_11),identity),
inference(subst,[],[refute_0_56:[bind(X_2,$fot(inverse(X_11)))]]) ).
cnf(refute_0_58,plain,
( multiply(inverse(X_11),identity) != divide(inverse(X_11),identity)
| divide(inverse(X_11),identity) = multiply(inverse(X_11),identity) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_11),identity))),bind(Y0,$fot(divide(inverse(X_11),identity)))]]) ).
cnf(refute_0_59,plain,
divide(inverse(X_11),identity) = multiply(inverse(X_11),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),identity),divide(inverse(X_11),identity)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
( divide(inverse(X_11),identity) != multiply(inverse(X_11),identity)
| divide(inverse(identity),divide(inverse(X_11),identity)) != X_11
| divide(inverse(identity),multiply(inverse(X_11),identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(identity),divide(inverse(X_11),identity)),X_11) ),[0,1],$fot(multiply(inverse(X_11),identity))]]) ).
cnf(refute_0_61,plain,
( divide(inverse(identity),divide(inverse(X_11),identity)) != X_11
| divide(inverse(identity),multiply(inverse(X_11),identity)) = X_11 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_11),identity),multiply(inverse(X_11),identity)) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
divide(inverse(identity),multiply(inverse(X_11),identity)) = X_11,
inference(resolve,[$cnf( $equal(divide(inverse(identity),divide(inverse(X_11),identity)),X_11) )],[refute_0_43,refute_0_61]) ).
cnf(refute_0_63,plain,
divide(identity,inverse(X_11)) = inverse(inverse(X_11)),
inference(subst,[],[refute_0_7:[bind(X,$fot(inverse(X_11)))]]) ).
cnf(refute_0_64,plain,
divide(identity,X_11) = inverse(X_11),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_65,plain,
divide(inverse(X_7),divide(divide(divide(X_8,X_7),divide(X_8,X_7)),X_8)) = divide(X_8,X_7),
inference(subst,[],[refute_0_23:[bind(X,$fot(X_7)),bind(Y,$fot(X_8)),bind(Z,$fot(divide(X_8,X_7)))]]) ).
cnf(refute_0_66,plain,
identity = divide(divide(X_8,X_7),divide(X_8,X_7)),
inference(subst,[],[identity:[bind(X,$fot(divide(X_8,X_7)))]]) ).
cnf(refute_0_67,plain,
( identity != divide(divide(X_8,X_7),divide(X_8,X_7))
| divide(divide(X_8,X_7),divide(X_8,X_7)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(divide(X_8,X_7),divide(X_8,X_7))))]]) ).
cnf(refute_0_68,plain,
divide(divide(X_8,X_7),divide(X_8,X_7)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(divide(X_8,X_7),divide(X_8,X_7))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
( divide(divide(X_8,X_7),divide(X_8,X_7)) != identity
| divide(inverse(X_7),divide(divide(divide(X_8,X_7),divide(X_8,X_7)),X_8)) != divide(X_8,X_7)
| divide(inverse(X_7),divide(identity,X_8)) = divide(X_8,X_7) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),divide(divide(divide(X_8,X_7),divide(X_8,X_7)),X_8)),divide(X_8,X_7)) ),[0,1,0],$fot(identity)]]) ).
cnf(refute_0_70,plain,
( divide(inverse(X_7),divide(divide(divide(X_8,X_7),divide(X_8,X_7)),X_8)) != divide(X_8,X_7)
| divide(inverse(X_7),divide(identity,X_8)) = divide(X_8,X_7) ),
inference(resolve,[$cnf( $equal(divide(divide(X_8,X_7),divide(X_8,X_7)),identity) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
divide(inverse(X_7),divide(identity,X_8)) = divide(X_8,X_7),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(divide(divide(X_8,X_7),divide(X_8,X_7)),X_8)),divide(X_8,X_7)) )],[refute_0_65,refute_0_70]) ).
cnf(refute_0_72,plain,
( multiply(X,Y) != divide(X,inverse(Y))
| divide(X,inverse(Y)) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(divide(X,inverse(Y))))]]) ).
cnf(refute_0_73,plain,
divide(X,inverse(Y)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,inverse(Y))) )],[refute_0_15,refute_0_72]) ).
cnf(refute_0_74,plain,
divide(inverse(X_7),inverse(X_8)) = multiply(inverse(X_7),X_8),
inference(subst,[],[refute_0_73:[bind(X,$fot(inverse(X_7))),bind(Y,$fot(X_8))]]) ).
cnf(refute_0_75,plain,
divide(identity,X_8) = inverse(X_8),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_8))]]) ).
cnf(refute_0_76,plain,
divide(inverse(X_7),divide(identity,X_8)) = divide(inverse(X_7),divide(identity,X_8)),
introduced(tautology,[refl,[$fot(divide(inverse(X_7),divide(identity,X_8)))]]) ).
cnf(refute_0_77,plain,
( divide(identity,X_8) != inverse(X_8)
| divide(inverse(X_7),divide(identity,X_8)) != divide(inverse(X_7),divide(identity,X_8))
| divide(inverse(X_7),divide(identity,X_8)) = divide(inverse(X_7),inverse(X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),divide(identity,X_8)),divide(inverse(X_7),divide(identity,X_8))) ),[1,1],$fot(inverse(X_8))]]) ).
cnf(refute_0_78,plain,
( divide(identity,X_8) != inverse(X_8)
| divide(inverse(X_7),divide(identity,X_8)) = divide(inverse(X_7),inverse(X_8)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(identity,X_8)),divide(inverse(X_7),divide(identity,X_8))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
divide(inverse(X_7),divide(identity,X_8)) = divide(inverse(X_7),inverse(X_8)),
inference(resolve,[$cnf( $equal(divide(identity,X_8),inverse(X_8)) )],[refute_0_75,refute_0_78]) ).
cnf(refute_0_80,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_81,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_80]) ).
cnf(refute_0_82,plain,
( divide(inverse(X_7),divide(identity,X_8)) != divide(inverse(X_7),inverse(X_8))
| divide(inverse(X_7),inverse(X_8)) != multiply(inverse(X_7),X_8)
| divide(inverse(X_7),divide(identity,X_8)) = multiply(inverse(X_7),X_8) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(divide(inverse(X_7),divide(identity,X_8)))),bind(Y0,$fot(divide(inverse(X_7),inverse(X_8)))),bind(Z0,$fot(multiply(inverse(X_7),X_8)))]]) ).
cnf(refute_0_83,plain,
( divide(inverse(X_7),inverse(X_8)) != multiply(inverse(X_7),X_8)
| divide(inverse(X_7),divide(identity,X_8)) = multiply(inverse(X_7),X_8) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(identity,X_8)),divide(inverse(X_7),inverse(X_8))) )],[refute_0_79,refute_0_82]) ).
cnf(refute_0_84,plain,
divide(inverse(X_7),divide(identity,X_8)) = multiply(inverse(X_7),X_8),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),inverse(X_8)),multiply(inverse(X_7),X_8)) )],[refute_0_74,refute_0_83]) ).
cnf(refute_0_85,plain,
( divide(inverse(X_7),divide(identity,X_8)) != multiply(inverse(X_7),X_8)
| divide(inverse(X_7),divide(identity,X_8)) != divide(X_8,X_7)
| multiply(inverse(X_7),X_8) = divide(X_8,X_7) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),divide(identity,X_8)),divide(X_8,X_7)) ),[0],$fot(multiply(inverse(X_7),X_8))]]) ).
cnf(refute_0_86,plain,
( divide(inverse(X_7),divide(identity,X_8)) != divide(X_8,X_7)
| multiply(inverse(X_7),X_8) = divide(X_8,X_7) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(identity,X_8)),multiply(inverse(X_7),X_8)) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
multiply(inverse(X_7),X_8) = divide(X_8,X_7),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(identity,X_8)),divide(X_8,X_7)) )],[refute_0_71,refute_0_86]) ).
cnf(refute_0_88,plain,
multiply(inverse(X_11),identity) = divide(identity,X_11),
inference(subst,[],[refute_0_87:[bind(X_7,$fot(X_11)),bind(X_8,$fot(identity))]]) ).
cnf(refute_0_89,plain,
( multiply(inverse(X_11),identity) != divide(identity,X_11)
| divide(identity,X_11) != inverse(X_11)
| multiply(inverse(X_11),identity) = inverse(X_11) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(multiply(inverse(X_11),identity))),bind(Y0,$fot(divide(identity,X_11))),bind(Z0,$fot(inverse(X_11)))]]) ).
cnf(refute_0_90,plain,
( divide(identity,X_11) != inverse(X_11)
| multiply(inverse(X_11),identity) = inverse(X_11) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),identity),divide(identity,X_11)) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
multiply(inverse(X_11),identity) = inverse(X_11),
inference(resolve,[$cnf( $equal(divide(identity,X_11),inverse(X_11)) )],[refute_0_64,refute_0_90]) ).
cnf(refute_0_92,plain,
divide(identity,multiply(inverse(X_11),identity)) = divide(identity,multiply(inverse(X_11),identity)),
introduced(tautology,[refl,[$fot(divide(identity,multiply(inverse(X_11),identity)))]]) ).
cnf(refute_0_93,plain,
( multiply(inverse(X_11),identity) != inverse(X_11)
| divide(identity,multiply(inverse(X_11),identity)) != divide(identity,multiply(inverse(X_11),identity))
| divide(identity,multiply(inverse(X_11),identity)) = divide(identity,inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(identity,multiply(inverse(X_11),identity)),divide(identity,multiply(inverse(X_11),identity))) ),[1,1],$fot(inverse(X_11))]]) ).
cnf(refute_0_94,plain,
( multiply(inverse(X_11),identity) != inverse(X_11)
| divide(identity,multiply(inverse(X_11),identity)) = divide(identity,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(divide(identity,multiply(inverse(X_11),identity)),divide(identity,multiply(inverse(X_11),identity))) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
divide(identity,multiply(inverse(X_11),identity)) = divide(identity,inverse(X_11)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),identity),inverse(X_11)) )],[refute_0_91,refute_0_94]) ).
cnf(refute_0_96,plain,
divide(inverse(identity),multiply(inverse(X_11),identity)) = divide(inverse(identity),multiply(inverse(X_11),identity)),
introduced(tautology,[refl,[$fot(divide(inverse(identity),multiply(inverse(X_11),identity)))]]) ).
cnf(refute_0_97,plain,
( divide(inverse(identity),multiply(inverse(X_11),identity)) != divide(inverse(identity),multiply(inverse(X_11),identity))
| inverse(identity) != identity
| divide(inverse(identity),multiply(inverse(X_11),identity)) = divide(identity,multiply(inverse(X_11),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(identity),multiply(inverse(X_11),identity)),divide(inverse(identity),multiply(inverse(X_11),identity))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_98,plain,
( inverse(identity) != identity
| divide(inverse(identity),multiply(inverse(X_11),identity)) = divide(identity,multiply(inverse(X_11),identity)) ),
inference(resolve,[$cnf( $equal(divide(inverse(identity),multiply(inverse(X_11),identity)),divide(inverse(identity),multiply(inverse(X_11),identity))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
divide(inverse(identity),multiply(inverse(X_11),identity)) = divide(identity,multiply(inverse(X_11),identity)),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_53,refute_0_98]) ).
cnf(refute_0_100,plain,
( divide(identity,multiply(inverse(X_11),identity)) != divide(identity,inverse(X_11))
| divide(inverse(identity),multiply(inverse(X_11),identity)) != divide(identity,multiply(inverse(X_11),identity))
| divide(inverse(identity),multiply(inverse(X_11),identity)) = divide(identity,inverse(X_11)) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(divide(inverse(identity),multiply(inverse(X_11),identity)))),bind(Y0,$fot(divide(identity,multiply(inverse(X_11),identity)))),bind(Z0,$fot(divide(identity,inverse(X_11))))]]) ).
cnf(refute_0_101,plain,
( divide(identity,multiply(inverse(X_11),identity)) != divide(identity,inverse(X_11))
| divide(inverse(identity),multiply(inverse(X_11),identity)) = divide(identity,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(divide(inverse(identity),multiply(inverse(X_11),identity)),divide(identity,multiply(inverse(X_11),identity))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
divide(inverse(identity),multiply(inverse(X_11),identity)) = divide(identity,inverse(X_11)),
inference(resolve,[$cnf( $equal(divide(identity,multiply(inverse(X_11),identity)),divide(identity,inverse(X_11))) )],[refute_0_95,refute_0_101]) ).
cnf(refute_0_103,plain,
( divide(identity,inverse(X_11)) != inverse(inverse(X_11))
| divide(inverse(identity),multiply(inverse(X_11),identity)) != divide(identity,inverse(X_11))
| divide(inverse(identity),multiply(inverse(X_11),identity)) = inverse(inverse(X_11)) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(divide(inverse(identity),multiply(inverse(X_11),identity)))),bind(Y0,$fot(divide(identity,inverse(X_11)))),bind(Z0,$fot(inverse(inverse(X_11))))]]) ).
cnf(refute_0_104,plain,
( divide(identity,inverse(X_11)) != inverse(inverse(X_11))
| divide(inverse(identity),multiply(inverse(X_11),identity)) = inverse(inverse(X_11)) ),
inference(resolve,[$cnf( $equal(divide(inverse(identity),multiply(inverse(X_11),identity)),divide(identity,inverse(X_11))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
divide(inverse(identity),multiply(inverse(X_11),identity)) = inverse(inverse(X_11)),
inference(resolve,[$cnf( $equal(divide(identity,inverse(X_11)),inverse(inverse(X_11))) )],[refute_0_63,refute_0_104]) ).
cnf(refute_0_106,plain,
( divide(inverse(identity),multiply(inverse(X_11),identity)) != X_11
| divide(inverse(identity),multiply(inverse(X_11),identity)) != inverse(inverse(X_11))
| inverse(inverse(X_11)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(identity),multiply(inverse(X_11),identity)),X_11) ),[0],$fot(inverse(inverse(X_11)))]]) ).
cnf(refute_0_107,plain,
( divide(inverse(identity),multiply(inverse(X_11),identity)) != X_11
| inverse(inverse(X_11)) = X_11 ),
inference(resolve,[$cnf( $equal(divide(inverse(identity),multiply(inverse(X_11),identity)),inverse(inverse(X_11))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
inverse(inverse(X_11)) = X_11,
inference(resolve,[$cnf( $equal(divide(inverse(identity),multiply(inverse(X_11),identity)),X_11) )],[refute_0_62,refute_0_107]) ).
cnf(refute_0_109,plain,
inverse(inverse(X_12)) = X_12,
inference(subst,[],[refute_0_108:[bind(X_11,$fot(X_12))]]) ).
cnf(refute_0_110,plain,
( multiply(X,inverse(X_12)) != divide(X,inverse(inverse(X_12)))
| inverse(inverse(X_12)) != X_12
| multiply(X,inverse(X_12)) = divide(X,X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(X_12)),divide(X,inverse(inverse(X_12)))) ),[1,1],$fot(X_12)]]) ).
cnf(refute_0_111,plain,
( multiply(X,inverse(X_12)) != divide(X,inverse(inverse(X_12)))
| multiply(X,inverse(X_12)) = divide(X,X_12) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_12)),X_12) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
multiply(X,inverse(X_12)) = divide(X,X_12),
inference(resolve,[$cnf( $equal(multiply(X,inverse(X_12)),divide(X,inverse(inverse(X_12)))) )],[refute_0_16,refute_0_111]) ).
cnf(refute_0_113,plain,
multiply(a1,inverse(a1)) = divide(a1,a1),
inference(subst,[],[refute_0_112:[bind(X,$fot(a1)),bind(X_12,$fot(a1))]]) ).
cnf(refute_0_114,plain,
( multiply(a1,inverse(a1)) != divide(a1,a1)
| divide(a1,a1) != identity
| multiply(a1,inverse(a1)) = identity ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(multiply(a1,inverse(a1)))),bind(Y0,$fot(divide(a1,a1))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_115,plain,
( divide(a1,a1) != identity
| multiply(a1,inverse(a1)) = identity ),
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),divide(a1,a1)) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
multiply(a1,inverse(a1)) = identity,
inference(resolve,[$cnf( $equal(divide(a1,a1),identity) )],[refute_0_5,refute_0_115]) ).
cnf(refute_0_117,plain,
multiply(inverse(inverse(X_11)),X_19) = divide(X_19,inverse(X_11)),
inference(subst,[],[refute_0_87:[bind(X_7,$fot(inverse(X_11))),bind(X_8,$fot(X_19))]]) ).
cnf(refute_0_118,plain,
( multiply(inverse(inverse(X_11)),X_19) != divide(X_19,inverse(X_11))
| inverse(inverse(X_11)) != X_11
| multiply(X_11,X_19) = divide(X_19,inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_11)),X_19),divide(X_19,inverse(X_11))) ),[0,0],$fot(X_11)]]) ).
cnf(refute_0_119,plain,
( multiply(inverse(inverse(X_11)),X_19) != divide(X_19,inverse(X_11))
| multiply(X_11,X_19) = divide(X_19,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_11)),X_11) )],[refute_0_108,refute_0_118]) ).
cnf(refute_0_120,plain,
multiply(X_11,X_19) = divide(X_19,inverse(X_11)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_11)),X_19),divide(X_19,inverse(X_11))) )],[refute_0_117,refute_0_119]) ).
cnf(refute_0_121,plain,
divide(X_19,inverse(X_11)) = multiply(X_19,X_11),
inference(subst,[],[refute_0_73:[bind(X,$fot(X_19)),bind(Y,$fot(X_11))]]) ).
cnf(refute_0_122,plain,
( multiply(X_11,X_19) != divide(X_19,inverse(X_11))
| divide(X_19,inverse(X_11)) != multiply(X_19,X_11)
| multiply(X_11,X_19) = multiply(X_19,X_11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_11,X_19),multiply(X_19,X_11)) ),[0],$fot(divide(X_19,inverse(X_11)))]]) ).
cnf(refute_0_123,plain,
( multiply(X_11,X_19) != divide(X_19,inverse(X_11))
| multiply(X_11,X_19) = multiply(X_19,X_11) ),
inference(resolve,[$cnf( $equal(divide(X_19,inverse(X_11)),multiply(X_19,X_11)) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
multiply(X_11,X_19) = multiply(X_19,X_11),
inference(resolve,[$cnf( $equal(multiply(X_11,X_19),divide(X_19,inverse(X_11))) )],[refute_0_120,refute_0_123]) ).
cnf(refute_0_125,plain,
( multiply(X_11,X_19) != multiply(X_19,X_11)
| multiply(X_19,X_11) = multiply(X_11,X_19) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_11,X_19))),bind(Y0,$fot(multiply(X_19,X_11)))]]) ).
cnf(refute_0_126,plain,
multiply(X_19,X_11) = multiply(X_11,X_19),
inference(resolve,[$cnf( $equal(multiply(X_11,X_19),multiply(X_19,X_11)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(subst,[],[refute_0_126:[bind(X_11,$fot(a1)),bind(X_19,$fot(inverse(a1)))]]) ).
cnf(refute_0_128,plain,
( multiply(a1,inverse(a1)) != identity
| multiply(inverse(a1),a1) != multiply(a1,inverse(a1))
| multiply(inverse(a1),a1) = identity ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(multiply(inverse(a1),a1))),bind(Y0,$fot(multiply(a1,inverse(a1)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_129,plain,
( multiply(a1,inverse(a1)) != identity
| multiply(inverse(a1),a1) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
multiply(inverse(a1),a1) = identity,
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),identity) )],[refute_0_116,refute_0_129]) ).
cnf(refute_0_131,plain,
( multiply(inverse(a1),a1) != identity
| identity != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) ),[0],$fot(identity)]]) ).
cnf(refute_0_132,plain,
( identity != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
divide(b1,b1) = identity,
inference(subst,[],[refute_0_4:[bind(X,$fot(b1))]]) ).
cnf(refute_0_134,plain,
multiply(b1,inverse(b1)) = divide(b1,b1),
inference(subst,[],[refute_0_112:[bind(X,$fot(b1)),bind(X_12,$fot(b1))]]) ).
cnf(refute_0_135,plain,
( multiply(b1,inverse(b1)) != divide(b1,b1)
| divide(b1,b1) != identity
| multiply(b1,inverse(b1)) = identity ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(multiply(b1,inverse(b1)))),bind(Y0,$fot(divide(b1,b1))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_136,plain,
( divide(b1,b1) != identity
| multiply(b1,inverse(b1)) = identity ),
inference(resolve,[$cnf( $equal(multiply(b1,inverse(b1)),divide(b1,b1)) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
multiply(b1,inverse(b1)) = identity,
inference(resolve,[$cnf( $equal(divide(b1,b1),identity) )],[refute_0_133,refute_0_136]) ).
cnf(refute_0_138,plain,
multiply(inverse(b1),b1) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_126:[bind(X_11,$fot(b1)),bind(X_19,$fot(inverse(b1)))]]) ).
cnf(refute_0_139,plain,
( multiply(b1,inverse(b1)) != identity
| multiply(inverse(b1),b1) != multiply(b1,inverse(b1))
| multiply(inverse(b1),b1) = identity ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(multiply(inverse(b1),b1))),bind(Y0,$fot(multiply(b1,inverse(b1)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_140,plain,
( multiply(b1,inverse(b1)) != identity
| multiply(inverse(b1),b1) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),multiply(b1,inverse(b1))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
multiply(inverse(b1),b1) = identity,
inference(resolve,[$cnf( $equal(multiply(b1,inverse(b1)),identity) )],[refute_0_137,refute_0_140]) ).
cnf(refute_0_142,plain,
( multiply(inverse(b1),b1) != identity
| identity != identity
| identity = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(identity,multiply(inverse(b1),b1)) ),[1],$fot(identity)]]) ).
cnf(refute_0_143,plain,
( identity != identity
| identity = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),identity) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
( identity != identity
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(identity,multiply(inverse(b1),b1)) )],[refute_0_143,refute_0_132]) ).
cnf(refute_0_145,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a4,b4) != multiply(b4,a4)
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_144,prove_these_axioms]) ).
cnf(refute_0_146,plain,
multiply(b4,a4) = multiply(a4,b4),
inference(subst,[],[refute_0_126:[bind(X_11,$fot(a4)),bind(X_19,$fot(b4))]]) ).
cnf(refute_0_147,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(b4,a4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a4,b4),multiply(b4,a4)) ),[1],$fot(multiply(a4,b4))]]) ).
cnf(refute_0_148,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(b4,a4),multiply(a4,b4)) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a4,b4) != multiply(a4,b4)
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(b4,a4)) )],[refute_0_148,refute_0_145]) ).
cnf(refute_0_150,plain,
divide(inverse(identity),divide(divide(divide(X_8,identity),X_9),X_8)) = X_9,
inference(subst,[],[refute_0_23:[bind(X,$fot(identity)),bind(Y,$fot(X_8)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_151,plain,
multiply(X_8,identity) = divide(X_8,identity),
inference(subst,[],[refute_0_56:[bind(X_2,$fot(X_8))]]) ).
cnf(refute_0_152,plain,
( multiply(X_8,identity) != divide(X_8,identity)
| divide(X_8,identity) = multiply(X_8,identity) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_8,identity))),bind(Y0,$fot(divide(X_8,identity)))]]) ).
cnf(refute_0_153,plain,
divide(X_8,identity) = multiply(X_8,identity),
inference(resolve,[$cnf( $equal(multiply(X_8,identity),divide(X_8,identity)) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
( divide(X_8,identity) != multiply(X_8,identity)
| divide(inverse(identity),divide(divide(divide(X_8,identity),X_9),X_8)) != X_9
| divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(identity),divide(divide(divide(X_8,identity),X_9),X_8)),X_9) ),[0,1,0,0],$fot(multiply(X_8,identity))]]) ).
cnf(refute_0_155,plain,
( divide(inverse(identity),divide(divide(divide(X_8,identity),X_9),X_8)) != X_9
| divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(X_8,identity),multiply(X_8,identity)) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(identity),divide(divide(divide(X_8,identity),X_9),X_8)),X_9) )],[refute_0_150,refute_0_155]) ).
cnf(refute_0_157,plain,
divide(identity,divide(divide(multiply(X_8,identity),X_9),X_8)) = inverse(divide(divide(multiply(X_8,identity),X_9),X_8)),
inference(subst,[],[refute_0_7:[bind(X,$fot(divide(divide(multiply(X_8,identity),X_9),X_8)))]]) ).
cnf(refute_0_158,plain,
divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) = divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)),
introduced(tautology,[refl,[$fot(divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)))]]) ).
cnf(refute_0_159,plain,
( divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) != divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8))
| inverse(identity) != identity
| divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) = divide(identity,divide(divide(multiply(X_8,identity),X_9),X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)),divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_160,plain,
( inverse(identity) != identity
| divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) = divide(identity,divide(divide(multiply(X_8,identity),X_9),X_8)) ),
inference(resolve,[$cnf( $equal(divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)),divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8))) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) = divide(identity,divide(divide(multiply(X_8,identity),X_9),X_8)),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_53,refute_0_160]) ).
cnf(refute_0_162,plain,
( divide(identity,divide(divide(multiply(X_8,identity),X_9),X_8)) != inverse(divide(divide(multiply(X_8,identity),X_9),X_8))
| divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) != divide(identity,divide(divide(multiply(X_8,identity),X_9),X_8))
| divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) = inverse(divide(divide(multiply(X_8,identity),X_9),X_8)) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)))),bind(Y0,$fot(divide(identity,divide(divide(multiply(X_8,identity),X_9),X_8)))),bind(Z0,$fot(inverse(divide(divide(multiply(X_8,identity),X_9),X_8))))]]) ).
cnf(refute_0_163,plain,
( divide(identity,divide(divide(multiply(X_8,identity),X_9),X_8)) != inverse(divide(divide(multiply(X_8,identity),X_9),X_8))
| divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) = inverse(divide(divide(multiply(X_8,identity),X_9),X_8)) ),
inference(resolve,[$cnf( $equal(divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)),divide(identity,divide(divide(multiply(X_8,identity),X_9),X_8))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) = inverse(divide(divide(multiply(X_8,identity),X_9),X_8)),
inference(resolve,[$cnf( $equal(divide(identity,divide(divide(multiply(X_8,identity),X_9),X_8)),inverse(divide(divide(multiply(X_8,identity),X_9),X_8))) )],[refute_0_157,refute_0_163]) ).
cnf(refute_0_165,plain,
( divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) != X_9
| divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) != inverse(divide(divide(multiply(X_8,identity),X_9),X_8))
| inverse(divide(divide(multiply(X_8,identity),X_9),X_8)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)),X_9) ),[0],$fot(inverse(divide(divide(multiply(X_8,identity),X_9),X_8)))]]) ).
cnf(refute_0_166,plain,
( divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) != X_9
| inverse(divide(divide(multiply(X_8,identity),X_9),X_8)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)),inverse(divide(divide(multiply(X_8,identity),X_9),X_8))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
inverse(divide(divide(multiply(X_8,identity),X_9),X_8)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)),X_9) )],[refute_0_156,refute_0_166]) ).
cnf(refute_0_168,plain,
inverse(divide(divide(multiply(X_14,identity),multiply(X_14,identity)),X_14)) = multiply(X_14,identity),
inference(subst,[],[refute_0_167:[bind(X_8,$fot(X_14)),bind(X_9,$fot(multiply(X_14,identity)))]]) ).
cnf(refute_0_169,plain,
identity = divide(multiply(X_14,identity),multiply(X_14,identity)),
inference(subst,[],[identity:[bind(X,$fot(multiply(X_14,identity)))]]) ).
cnf(refute_0_170,plain,
( identity != divide(multiply(X_14,identity),multiply(X_14,identity))
| divide(multiply(X_14,identity),multiply(X_14,identity)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(multiply(X_14,identity),multiply(X_14,identity))))]]) ).
cnf(refute_0_171,plain,
divide(multiply(X_14,identity),multiply(X_14,identity)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(multiply(X_14,identity),multiply(X_14,identity))) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
( divide(multiply(X_14,identity),multiply(X_14,identity)) != identity
| inverse(divide(divide(multiply(X_14,identity),multiply(X_14,identity)),X_14)) != multiply(X_14,identity)
| inverse(divide(identity,X_14)) = multiply(X_14,identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(multiply(X_14,identity),multiply(X_14,identity)),X_14)),multiply(X_14,identity)) ),[0,0,0],$fot(identity)]]) ).
cnf(refute_0_173,plain,
( inverse(divide(divide(multiply(X_14,identity),multiply(X_14,identity)),X_14)) != multiply(X_14,identity)
| inverse(divide(identity,X_14)) = multiply(X_14,identity) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_14,identity),multiply(X_14,identity)),identity) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
inverse(divide(identity,X_14)) = multiply(X_14,identity),
inference(resolve,[$cnf( $equal(inverse(divide(divide(multiply(X_14,identity),multiply(X_14,identity)),X_14)),multiply(X_14,identity)) )],[refute_0_168,refute_0_173]) ).
cnf(refute_0_175,plain,
inverse(inverse(X_14)) = X_14,
inference(subst,[],[refute_0_108:[bind(X_11,$fot(X_14))]]) ).
cnf(refute_0_176,plain,
divide(identity,X_14) = inverse(X_14),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_14))]]) ).
cnf(refute_0_177,plain,
inverse(divide(identity,X_14)) = inverse(divide(identity,X_14)),
introduced(tautology,[refl,[$fot(inverse(divide(identity,X_14)))]]) ).
cnf(refute_0_178,plain,
( divide(identity,X_14) != inverse(X_14)
| inverse(divide(identity,X_14)) != inverse(divide(identity,X_14))
| inverse(divide(identity,X_14)) = inverse(inverse(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(identity,X_14)),inverse(divide(identity,X_14))) ),[1,0],$fot(inverse(X_14))]]) ).
cnf(refute_0_179,plain,
( divide(identity,X_14) != inverse(X_14)
| inverse(divide(identity,X_14)) = inverse(inverse(X_14)) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_14)),inverse(divide(identity,X_14))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
inverse(divide(identity,X_14)) = inverse(inverse(X_14)),
inference(resolve,[$cnf( $equal(divide(identity,X_14),inverse(X_14)) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
( inverse(divide(identity,X_14)) != inverse(inverse(X_14))
| inverse(inverse(X_14)) != X_14
| inverse(divide(identity,X_14)) = X_14 ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(inverse(divide(identity,X_14)))),bind(Y0,$fot(inverse(inverse(X_14)))),bind(Z0,$fot(X_14))]]) ).
cnf(refute_0_182,plain,
( inverse(inverse(X_14)) != X_14
| inverse(divide(identity,X_14)) = X_14 ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_14)),inverse(inverse(X_14))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
inverse(divide(identity,X_14)) = X_14,
inference(resolve,[$cnf( $equal(inverse(inverse(X_14)),X_14) )],[refute_0_175,refute_0_182]) ).
cnf(refute_0_184,plain,
( inverse(divide(identity,X_14)) != X_14
| inverse(divide(identity,X_14)) != multiply(X_14,identity)
| X_14 = multiply(X_14,identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(identity,X_14)),multiply(X_14,identity)) ),[0],$fot(X_14)]]) ).
cnf(refute_0_185,plain,
( inverse(divide(identity,X_14)) != multiply(X_14,identity)
| X_14 = multiply(X_14,identity) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_14)),X_14) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
X_14 = multiply(X_14,identity),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_14)),multiply(X_14,identity)) )],[refute_0_174,refute_0_185]) ).
cnf(refute_0_187,plain,
( X_14 != multiply(X_14,identity)
| multiply(X_14,identity) = X_14 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_14)),bind(Y0,$fot(multiply(X_14,identity)))]]) ).
cnf(refute_0_188,plain,
multiply(X_14,identity) = X_14,
inference(resolve,[$cnf( $equal(X_14,multiply(X_14,identity)) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
multiply(a2,identity) = a2,
inference(subst,[],[refute_0_188:[bind(X_14,$fot(a2))]]) ).
cnf(refute_0_190,plain,
divide(b2,b2) = identity,
inference(subst,[],[refute_0_4:[bind(X,$fot(b2))]]) ).
cnf(refute_0_191,plain,
multiply(b2,inverse(b2)) = divide(b2,b2),
inference(subst,[],[refute_0_112:[bind(X,$fot(b2)),bind(X_12,$fot(b2))]]) ).
cnf(refute_0_192,plain,
( multiply(b2,inverse(b2)) != divide(b2,b2)
| divide(b2,b2) != identity
| multiply(b2,inverse(b2)) = identity ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(multiply(b2,inverse(b2)))),bind(Y0,$fot(divide(b2,b2))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_193,plain,
( divide(b2,b2) != identity
| multiply(b2,inverse(b2)) = identity ),
inference(resolve,[$cnf( $equal(multiply(b2,inverse(b2)),divide(b2,b2)) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
multiply(b2,inverse(b2)) = identity,
inference(resolve,[$cnf( $equal(divide(b2,b2),identity) )],[refute_0_190,refute_0_193]) ).
cnf(refute_0_195,plain,
multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,multiply(b2,inverse(b2))),
introduced(tautology,[refl,[$fot(multiply(a2,multiply(b2,inverse(b2))))]]) ).
cnf(refute_0_196,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_197,plain,
( multiply(b2,inverse(b2)) != identity
| multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,identity) ),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,identity),
inference(resolve,[$cnf( $equal(multiply(b2,inverse(b2)),identity) )],[refute_0_194,refute_0_197]) ).
cnf(refute_0_199,plain,
( multiply(a2,multiply(b2,inverse(b2))) != multiply(a2,identity)
| multiply(a2,identity) != a2
| multiply(a2,multiply(b2,inverse(b2))) = a2 ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(multiply(a2,multiply(b2,inverse(b2))))),bind(Y0,$fot(multiply(a2,identity))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_200,plain,
( multiply(a2,identity) != a2
| multiply(a2,multiply(b2,inverse(b2))) = a2 ),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),multiply(a2,identity)) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
multiply(a2,multiply(b2,inverse(b2))) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,identity),a2) )],[refute_0_189,refute_0_200]) ).
cnf(refute_0_202,plain,
multiply(X,inverse(divide(X_40,X_39))) = divide(X,divide(X_40,X_39)),
inference(subst,[],[refute_0_112:[bind(X_12,$fot(divide(X_40,X_39)))]]) ).
cnf(refute_0_203,plain,
inverse(divide(divide(multiply(inverse(Y),identity),X_15),inverse(Y))) = X_15,
inference(subst,[],[refute_0_167:[bind(X_8,$fot(inverse(Y))),bind(X_9,$fot(X_15))]]) ).
cnf(refute_0_204,plain,
multiply(divide(multiply(inverse(Y),identity),X_15),Y) = divide(divide(multiply(inverse(Y),identity),X_15),inverse(Y)),
inference(subst,[],[refute_0_15:[bind(X,$fot(divide(multiply(inverse(Y),identity),X_15)))]]) ).
cnf(refute_0_205,plain,
( multiply(divide(multiply(inverse(Y),identity),X_15),Y) != divide(divide(multiply(inverse(Y),identity),X_15),inverse(Y))
| divide(divide(multiply(inverse(Y),identity),X_15),inverse(Y)) = multiply(divide(multiply(inverse(Y),identity),X_15),Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(divide(multiply(inverse(Y),identity),X_15),Y))),bind(Y0,$fot(divide(divide(multiply(inverse(Y),identity),X_15),inverse(Y))))]]) ).
cnf(refute_0_206,plain,
divide(divide(multiply(inverse(Y),identity),X_15),inverse(Y)) = multiply(divide(multiply(inverse(Y),identity),X_15),Y),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(inverse(Y),identity),X_15),Y),divide(divide(multiply(inverse(Y),identity),X_15),inverse(Y))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
( divide(divide(multiply(inverse(Y),identity),X_15),inverse(Y)) != multiply(divide(multiply(inverse(Y),identity),X_15),Y)
| inverse(divide(divide(multiply(inverse(Y),identity),X_15),inverse(Y))) != X_15
| inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y)) = X_15 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(multiply(inverse(Y),identity),X_15),inverse(Y))),X_15) ),[0,0],$fot(multiply(divide(multiply(inverse(Y),identity),X_15),Y))]]) ).
cnf(refute_0_208,plain,
( inverse(divide(divide(multiply(inverse(Y),identity),X_15),inverse(Y))) != X_15
| inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y)) = X_15 ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(inverse(Y),identity),X_15),inverse(Y)),multiply(divide(multiply(inverse(Y),identity),X_15),Y)) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y)) = X_15,
inference(resolve,[$cnf( $equal(inverse(divide(divide(multiply(inverse(Y),identity),X_15),inverse(Y))),X_15) )],[refute_0_203,refute_0_208]) ).
cnf(refute_0_210,plain,
multiply(inverse(Y),identity) = inverse(Y),
inference(subst,[],[refute_0_188:[bind(X_14,$fot(inverse(Y)))]]) ).
cnf(refute_0_211,plain,
divide(multiply(inverse(Y),identity),X_15) = divide(multiply(inverse(Y),identity),X_15),
introduced(tautology,[refl,[$fot(divide(multiply(inverse(Y),identity),X_15))]]) ).
cnf(refute_0_212,plain,
( multiply(inverse(Y),identity) != inverse(Y)
| divide(multiply(inverse(Y),identity),X_15) != divide(multiply(inverse(Y),identity),X_15)
| divide(multiply(inverse(Y),identity),X_15) = divide(inverse(Y),X_15) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(Y),identity),X_15),divide(multiply(inverse(Y),identity),X_15)) ),[1,0],$fot(inverse(Y))]]) ).
cnf(refute_0_213,plain,
( multiply(inverse(Y),identity) != inverse(Y)
| divide(multiply(inverse(Y),identity),X_15) = divide(inverse(Y),X_15) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(Y),identity),X_15),divide(multiply(inverse(Y),identity),X_15)) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
divide(multiply(inverse(Y),identity),X_15) = divide(inverse(Y),X_15),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),identity),inverse(Y)) )],[refute_0_210,refute_0_213]) ).
cnf(refute_0_215,plain,
multiply(divide(multiply(inverse(Y),identity),X_15),Y) = multiply(divide(multiply(inverse(Y),identity),X_15),Y),
introduced(tautology,[refl,[$fot(multiply(divide(multiply(inverse(Y),identity),X_15),Y))]]) ).
cnf(refute_0_216,plain,
( multiply(divide(multiply(inverse(Y),identity),X_15),Y) != multiply(divide(multiply(inverse(Y),identity),X_15),Y)
| divide(multiply(inverse(Y),identity),X_15) != divide(inverse(Y),X_15)
| multiply(divide(multiply(inverse(Y),identity),X_15),Y) = multiply(divide(inverse(Y),X_15),Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(multiply(inverse(Y),identity),X_15),Y),multiply(divide(multiply(inverse(Y),identity),X_15),Y)) ),[1,0],$fot(divide(inverse(Y),X_15))]]) ).
cnf(refute_0_217,plain,
( divide(multiply(inverse(Y),identity),X_15) != divide(inverse(Y),X_15)
| multiply(divide(multiply(inverse(Y),identity),X_15),Y) = multiply(divide(inverse(Y),X_15),Y) ),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(inverse(Y),identity),X_15),Y),multiply(divide(multiply(inverse(Y),identity),X_15),Y)) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
multiply(divide(multiply(inverse(Y),identity),X_15),Y) = multiply(divide(inverse(Y),X_15),Y),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(Y),identity),X_15),divide(inverse(Y),X_15)) )],[refute_0_214,refute_0_217]) ).
cnf(refute_0_219,plain,
inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y)) = inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y)),
introduced(tautology,[refl,[$fot(inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y)))]]) ).
cnf(refute_0_220,plain,
( multiply(divide(multiply(inverse(Y),identity),X_15),Y) != multiply(divide(inverse(Y),X_15),Y)
| inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y)) != inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y))
| inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y)) = inverse(multiply(divide(inverse(Y),X_15),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y)),inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y))) ),[1,0],$fot(multiply(divide(inverse(Y),X_15),Y))]]) ).
cnf(refute_0_221,plain,
( multiply(divide(multiply(inverse(Y),identity),X_15),Y) != multiply(divide(inverse(Y),X_15),Y)
| inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y)) = inverse(multiply(divide(inverse(Y),X_15),Y)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y)),inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y)) = inverse(multiply(divide(inverse(Y),X_15),Y)),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(inverse(Y),identity),X_15),Y),multiply(divide(inverse(Y),X_15),Y)) )],[refute_0_218,refute_0_221]) ).
cnf(refute_0_223,plain,
( inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y)) != X_15
| inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y)) != inverse(multiply(divide(inverse(Y),X_15),Y))
| inverse(multiply(divide(inverse(Y),X_15),Y)) = X_15 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y)),X_15) ),[0],$fot(inverse(multiply(divide(inverse(Y),X_15),Y)))]]) ).
cnf(refute_0_224,plain,
( inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y)) != X_15
| inverse(multiply(divide(inverse(Y),X_15),Y)) = X_15 ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y)),inverse(multiply(divide(inverse(Y),X_15),Y))) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
inverse(multiply(divide(inverse(Y),X_15),Y)) = X_15,
inference(resolve,[$cnf( $equal(inverse(multiply(divide(multiply(inverse(Y),identity),X_15),Y)),X_15) )],[refute_0_209,refute_0_224]) ).
cnf(refute_0_226,plain,
multiply(divide(inverse(Y),X_15),Y) = multiply(Y,divide(inverse(Y),X_15)),
inference(subst,[],[refute_0_126:[bind(X_11,$fot(Y)),bind(X_19,$fot(divide(inverse(Y),X_15)))]]) ).
cnf(refute_0_227,plain,
inverse(multiply(divide(inverse(Y),X_15),Y)) = inverse(multiply(divide(inverse(Y),X_15),Y)),
introduced(tautology,[refl,[$fot(inverse(multiply(divide(inverse(Y),X_15),Y)))]]) ).
cnf(refute_0_228,plain,
( multiply(divide(inverse(Y),X_15),Y) != multiply(Y,divide(inverse(Y),X_15))
| inverse(multiply(divide(inverse(Y),X_15),Y)) != inverse(multiply(divide(inverse(Y),X_15),Y))
| inverse(multiply(divide(inverse(Y),X_15),Y)) = inverse(multiply(Y,divide(inverse(Y),X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(inverse(Y),X_15),Y)),inverse(multiply(divide(inverse(Y),X_15),Y))) ),[1,0],$fot(multiply(Y,divide(inverse(Y),X_15)))]]) ).
cnf(refute_0_229,plain,
( multiply(divide(inverse(Y),X_15),Y) != multiply(Y,divide(inverse(Y),X_15))
| inverse(multiply(divide(inverse(Y),X_15),Y)) = inverse(multiply(Y,divide(inverse(Y),X_15))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(Y),X_15),Y)),inverse(multiply(divide(inverse(Y),X_15),Y))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
inverse(multiply(divide(inverse(Y),X_15),Y)) = inverse(multiply(Y,divide(inverse(Y),X_15))),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(Y),X_15),Y),multiply(Y,divide(inverse(Y),X_15))) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
( inverse(multiply(divide(inverse(Y),X_15),Y)) != X_15
| inverse(multiply(divide(inverse(Y),X_15),Y)) != inverse(multiply(Y,divide(inverse(Y),X_15)))
| inverse(multiply(Y,divide(inverse(Y),X_15))) = X_15 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(inverse(Y),X_15),Y)),X_15) ),[0],$fot(inverse(multiply(Y,divide(inverse(Y),X_15))))]]) ).
cnf(refute_0_232,plain,
( inverse(multiply(divide(inverse(Y),X_15),Y)) != X_15
| inverse(multiply(Y,divide(inverse(Y),X_15))) = X_15 ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(Y),X_15),Y)),inverse(multiply(Y,divide(inverse(Y),X_15)))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
inverse(multiply(Y,divide(inverse(Y),X_15))) = X_15,
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(Y),X_15),Y)),X_15) )],[refute_0_225,refute_0_232]) ).
cnf(refute_0_234,plain,
inverse(multiply(X_37,divide(inverse(X_37),multiply(Y,inverse(X_37))))) = multiply(Y,inverse(X_37)),
inference(subst,[],[refute_0_233:[bind(Y,$fot(X_37)),bind(X_15,$fot(multiply(Y,inverse(X_37))))]]) ).
cnf(refute_0_235,plain,
divide(inverse(inverse(Y)),divide(divide(divide(X_8,inverse(Y)),X_9),X_8)) = X_9,
inference(subst,[],[refute_0_23:[bind(X,$fot(inverse(Y))),bind(Y,$fot(X_8)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_236,plain,
multiply(X_8,Y) = divide(X_8,inverse(Y)),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_8))]]) ).
cnf(refute_0_237,plain,
( multiply(X_8,Y) != divide(X_8,inverse(Y))
| divide(X_8,inverse(Y)) = multiply(X_8,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_8,Y))),bind(Y0,$fot(divide(X_8,inverse(Y))))]]) ).
cnf(refute_0_238,plain,
divide(X_8,inverse(Y)) = multiply(X_8,Y),
inference(resolve,[$cnf( $equal(multiply(X_8,Y),divide(X_8,inverse(Y))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
( divide(X_8,inverse(Y)) != multiply(X_8,Y)
| divide(inverse(inverse(Y)),divide(divide(divide(X_8,inverse(Y)),X_9),X_8)) != X_9
| divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(Y)),divide(divide(divide(X_8,inverse(Y)),X_9),X_8)),X_9) ),[0,1,0,0],$fot(multiply(X_8,Y))]]) ).
cnf(refute_0_240,plain,
( divide(inverse(inverse(Y)),divide(divide(divide(X_8,inverse(Y)),X_9),X_8)) != X_9
| divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(X_8,inverse(Y)),multiply(X_8,Y)) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(Y)),divide(divide(divide(X_8,inverse(Y)),X_9),X_8)),X_9) )],[refute_0_235,refute_0_240]) ).
cnf(refute_0_242,plain,
inverse(inverse(Y)) = Y,
inference(subst,[],[refute_0_108:[bind(X_11,$fot(Y))]]) ).
cnf(refute_0_243,plain,
divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8)) = divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8)),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8)))]]) ).
cnf(refute_0_244,plain,
( divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8)) != divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8))
| inverse(inverse(Y)) != Y
| divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8)) = divide(Y,divide(divide(multiply(X_8,Y),X_9),X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8)),divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8))) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_245,plain,
( inverse(inverse(Y)) != Y
| divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8)) = divide(Y,divide(divide(multiply(X_8,Y),X_9),X_8)) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8)),divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8)) = divide(Y,divide(divide(multiply(X_8,Y),X_9),X_8)),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_242,refute_0_245]) ).
cnf(refute_0_247,plain,
( divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8)) != X_9
| divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8)) != divide(Y,divide(divide(multiply(X_8,Y),X_9),X_8))
| divide(Y,divide(divide(multiply(X_8,Y),X_9),X_8)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8)),X_9) ),[0],$fot(divide(Y,divide(divide(multiply(X_8,Y),X_9),X_8)))]]) ).
cnf(refute_0_248,plain,
( divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8)) != X_9
| divide(Y,divide(divide(multiply(X_8,Y),X_9),X_8)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8)),divide(Y,divide(divide(multiply(X_8,Y),X_9),X_8))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
divide(Y,divide(divide(multiply(X_8,Y),X_9),X_8)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(Y)),divide(divide(multiply(X_8,Y),X_9),X_8)),X_9) )],[refute_0_241,refute_0_248]) ).
cnf(refute_0_250,plain,
divide(X_32,divide(divide(multiply(X_33,X_32),inverse(Y)),X_33)) = inverse(Y),
inference(subst,[],[refute_0_249:[bind(Y,$fot(X_32)),bind(X_8,$fot(X_33)),bind(X_9,$fot(inverse(Y)))]]) ).
cnf(refute_0_251,plain,
multiply(multiply(X_33,X_32),Y) = divide(multiply(X_33,X_32),inverse(Y)),
inference(subst,[],[refute_0_15:[bind(X,$fot(multiply(X_33,X_32)))]]) ).
cnf(refute_0_252,plain,
( multiply(multiply(X_33,X_32),Y) != divide(multiply(X_33,X_32),inverse(Y))
| divide(multiply(X_33,X_32),inverse(Y)) = multiply(multiply(X_33,X_32),Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(multiply(X_33,X_32),Y))),bind(Y0,$fot(divide(multiply(X_33,X_32),inverse(Y))))]]) ).
cnf(refute_0_253,plain,
divide(multiply(X_33,X_32),inverse(Y)) = multiply(multiply(X_33,X_32),Y),
inference(resolve,[$cnf( $equal(multiply(multiply(X_33,X_32),Y),divide(multiply(X_33,X_32),inverse(Y))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
( divide(X_32,divide(divide(multiply(X_33,X_32),inverse(Y)),X_33)) != inverse(Y)
| divide(multiply(X_33,X_32),inverse(Y)) != multiply(multiply(X_33,X_32),Y)
| divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33)) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_32,divide(divide(multiply(X_33,X_32),inverse(Y)),X_33)),inverse(Y)) ),[0,1,0],$fot(multiply(multiply(X_33,X_32),Y))]]) ).
cnf(refute_0_255,plain,
( divide(X_32,divide(divide(multiply(X_33,X_32),inverse(Y)),X_33)) != inverse(Y)
| divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33)) = inverse(Y) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_33,X_32),inverse(Y)),multiply(multiply(X_33,X_32),Y)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33)) = inverse(Y),
inference(resolve,[$cnf( $equal(divide(X_32,divide(divide(multiply(X_33,X_32),inverse(Y)),X_33)),inverse(Y)) )],[refute_0_250,refute_0_255]) ).
cnf(refute_0_257,plain,
divide(Y,inverse(X_32)) = multiply(Y,X_32),
inference(subst,[],[refute_0_73:[bind(X,$fot(Y)),bind(Y,$fot(X_32))]]) ).
cnf(refute_0_258,plain,
divide(inverse(inverse(Y)),divide(inverse(X_11),inverse(Y))) = X_11,
inference(subst,[],[refute_0_42:[bind(X_7,$fot(inverse(Y))),bind(X_9,$fot(X_11))]]) ).
cnf(refute_0_259,plain,
multiply(inverse(X_11),Y) = divide(inverse(X_11),inverse(Y)),
inference(subst,[],[refute_0_15:[bind(X,$fot(inverse(X_11)))]]) ).
cnf(refute_0_260,plain,
( multiply(inverse(X_11),Y) != divide(inverse(X_11),inverse(Y))
| divide(inverse(X_11),inverse(Y)) = multiply(inverse(X_11),Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_11),Y))),bind(Y0,$fot(divide(inverse(X_11),inverse(Y))))]]) ).
cnf(refute_0_261,plain,
divide(inverse(X_11),inverse(Y)) = multiply(inverse(X_11),Y),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),Y),divide(inverse(X_11),inverse(Y))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
( divide(inverse(X_11),inverse(Y)) != multiply(inverse(X_11),Y)
| divide(inverse(inverse(Y)),divide(inverse(X_11),inverse(Y))) != X_11
| divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(Y)),divide(inverse(X_11),inverse(Y))),X_11) ),[0,1],$fot(multiply(inverse(X_11),Y))]]) ).
cnf(refute_0_263,plain,
( divide(inverse(inverse(Y)),divide(inverse(X_11),inverse(Y))) != X_11
| divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)) = X_11 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_11),inverse(Y)),multiply(inverse(X_11),Y)) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)) = X_11,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(Y)),divide(inverse(X_11),inverse(Y))),X_11) )],[refute_0_258,refute_0_263]) ).
cnf(refute_0_265,plain,
multiply(inverse(X_11),Y) = divide(Y,X_11),
inference(subst,[],[refute_0_87:[bind(X_7,$fot(X_11)),bind(X_8,$fot(Y))]]) ).
cnf(refute_0_266,plain,
divide(Y,multiply(inverse(X_11),Y)) = divide(Y,multiply(inverse(X_11),Y)),
introduced(tautology,[refl,[$fot(divide(Y,multiply(inverse(X_11),Y)))]]) ).
cnf(refute_0_267,plain,
( multiply(inverse(X_11),Y) != divide(Y,X_11)
| divide(Y,multiply(inverse(X_11),Y)) != divide(Y,multiply(inverse(X_11),Y))
| divide(Y,multiply(inverse(X_11),Y)) = divide(Y,divide(Y,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(Y,multiply(inverse(X_11),Y)),divide(Y,multiply(inverse(X_11),Y))) ),[1,1],$fot(divide(Y,X_11))]]) ).
cnf(refute_0_268,plain,
( multiply(inverse(X_11),Y) != divide(Y,X_11)
| divide(Y,multiply(inverse(X_11),Y)) = divide(Y,divide(Y,X_11)) ),
inference(resolve,[$cnf( $equal(divide(Y,multiply(inverse(X_11),Y)),divide(Y,multiply(inverse(X_11),Y))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
divide(Y,multiply(inverse(X_11),Y)) = divide(Y,divide(Y,X_11)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),Y),divide(Y,X_11)) )],[refute_0_265,refute_0_268]) ).
cnf(refute_0_270,plain,
divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)) = divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)))]]) ).
cnf(refute_0_271,plain,
( divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)) != divide(inverse(inverse(Y)),multiply(inverse(X_11),Y))
| inverse(inverse(Y)) != Y
| divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)) = divide(Y,multiply(inverse(X_11),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)),divide(inverse(inverse(Y)),multiply(inverse(X_11),Y))) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_272,plain,
( inverse(inverse(Y)) != Y
| divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)) = divide(Y,multiply(inverse(X_11),Y)) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)),divide(inverse(inverse(Y)),multiply(inverse(X_11),Y))) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)) = divide(Y,multiply(inverse(X_11),Y)),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_242,refute_0_272]) ).
cnf(refute_0_274,plain,
( divide(Y,multiply(inverse(X_11),Y)) != divide(Y,divide(Y,X_11))
| divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)) != divide(Y,multiply(inverse(X_11),Y))
| divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)) = divide(Y,divide(Y,X_11)) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)))),bind(Y0,$fot(divide(Y,multiply(inverse(X_11),Y)))),bind(Z0,$fot(divide(Y,divide(Y,X_11))))]]) ).
cnf(refute_0_275,plain,
( divide(Y,multiply(inverse(X_11),Y)) != divide(Y,divide(Y,X_11))
| divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)) = divide(Y,divide(Y,X_11)) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)),divide(Y,multiply(inverse(X_11),Y))) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)) = divide(Y,divide(Y,X_11)),
inference(resolve,[$cnf( $equal(divide(Y,multiply(inverse(X_11),Y)),divide(Y,divide(Y,X_11))) )],[refute_0_269,refute_0_275]) ).
cnf(refute_0_277,plain,
( divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)) != X_11
| divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)) != divide(Y,divide(Y,X_11))
| divide(Y,divide(Y,X_11)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)),X_11) ),[0],$fot(divide(Y,divide(Y,X_11)))]]) ).
cnf(refute_0_278,plain,
( divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)) != X_11
| divide(Y,divide(Y,X_11)) = X_11 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)),divide(Y,divide(Y,X_11))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
divide(Y,divide(Y,X_11)) = X_11,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(Y)),multiply(inverse(X_11),Y)),X_11) )],[refute_0_264,refute_0_278]) ).
cnf(refute_0_280,plain,
divide(X_24,divide(X_24,inverse(Y))) = inverse(Y),
inference(subst,[],[refute_0_279:[bind(Y,$fot(X_24)),bind(X_11,$fot(inverse(Y)))]]) ).
cnf(refute_0_281,plain,
multiply(X_24,Y) = divide(X_24,inverse(Y)),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_24))]]) ).
cnf(refute_0_282,plain,
( multiply(X_24,Y) != divide(X_24,inverse(Y))
| divide(X_24,inverse(Y)) = multiply(X_24,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_24,Y))),bind(Y0,$fot(divide(X_24,inverse(Y))))]]) ).
cnf(refute_0_283,plain,
divide(X_24,inverse(Y)) = multiply(X_24,Y),
inference(resolve,[$cnf( $equal(multiply(X_24,Y),divide(X_24,inverse(Y))) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
( divide(X_24,divide(X_24,inverse(Y))) != inverse(Y)
| divide(X_24,inverse(Y)) != multiply(X_24,Y)
| divide(X_24,multiply(X_24,Y)) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_24,divide(X_24,inverse(Y))),inverse(Y)) ),[0,1],$fot(multiply(X_24,Y))]]) ).
cnf(refute_0_285,plain,
( divide(X_24,divide(X_24,inverse(Y))) != inverse(Y)
| divide(X_24,multiply(X_24,Y)) = inverse(Y) ),
inference(resolve,[$cnf( $equal(divide(X_24,inverse(Y)),multiply(X_24,Y)) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
divide(X_24,multiply(X_24,Y)) = inverse(Y),
inference(resolve,[$cnf( $equal(divide(X_24,divide(X_24,inverse(Y))),inverse(Y)) )],[refute_0_280,refute_0_285]) ).
cnf(refute_0_287,plain,
divide(X_33,multiply(X_33,X_32)) = inverse(X_32),
inference(subst,[],[refute_0_286:[bind(Y,$fot(X_32)),bind(X_24,$fot(X_33))]]) ).
cnf(refute_0_288,plain,
divide(Y,divide(X_33,multiply(X_33,X_32))) = divide(Y,divide(X_33,multiply(X_33,X_32))),
introduced(tautology,[refl,[$fot(divide(Y,divide(X_33,multiply(X_33,X_32))))]]) ).
cnf(refute_0_289,plain,
( divide(Y,divide(X_33,multiply(X_33,X_32))) != divide(Y,divide(X_33,multiply(X_33,X_32)))
| divide(X_33,multiply(X_33,X_32)) != inverse(X_32)
| divide(Y,divide(X_33,multiply(X_33,X_32))) = divide(Y,inverse(X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(Y,divide(X_33,multiply(X_33,X_32))),divide(Y,divide(X_33,multiply(X_33,X_32)))) ),[1,1],$fot(inverse(X_32))]]) ).
cnf(refute_0_290,plain,
( divide(X_33,multiply(X_33,X_32)) != inverse(X_32)
| divide(Y,divide(X_33,multiply(X_33,X_32))) = divide(Y,inverse(X_32)) ),
inference(resolve,[$cnf( $equal(divide(Y,divide(X_33,multiply(X_33,X_32))),divide(Y,divide(X_33,multiply(X_33,X_32)))) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
divide(Y,divide(X_33,multiply(X_33,X_32))) = divide(Y,inverse(X_32)),
inference(resolve,[$cnf( $equal(divide(X_33,multiply(X_33,X_32)),inverse(X_32)) )],[refute_0_287,refute_0_290]) ).
cnf(refute_0_292,plain,
( divide(Y,divide(X_33,multiply(X_33,X_32))) != divide(Y,inverse(X_32))
| divide(Y,inverse(X_32)) != multiply(Y,X_32)
| divide(Y,divide(X_33,multiply(X_33,X_32))) = multiply(Y,X_32) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(divide(Y,divide(X_33,multiply(X_33,X_32))))),bind(Y0,$fot(divide(Y,inverse(X_32)))),bind(Z0,$fot(multiply(Y,X_32)))]]) ).
cnf(refute_0_293,plain,
( divide(Y,inverse(X_32)) != multiply(Y,X_32)
| divide(Y,divide(X_33,multiply(X_33,X_32))) = multiply(Y,X_32) ),
inference(resolve,[$cnf( $equal(divide(Y,divide(X_33,multiply(X_33,X_32))),divide(Y,inverse(X_32))) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
divide(Y,divide(X_33,multiply(X_33,X_32))) = multiply(Y,X_32),
inference(resolve,[$cnf( $equal(divide(Y,inverse(X_32)),multiply(Y,X_32)) )],[refute_0_257,refute_0_293]) ).
cnf(refute_0_295,plain,
divide(X_32,divide(divide(multiply(X_33,X_32),divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8)),X_33)) = divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8),
inference(subst,[],[refute_0_249:[bind(Y,$fot(X_32)),bind(X_8,$fot(X_33)),bind(X_9,$fot(divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8)))]]) ).
cnf(refute_0_296,plain,
divide(multiply(X_33,X_32),divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8)) = X_9,
inference(subst,[],[refute_0_249:[bind(Y,$fot(multiply(X_33,X_32)))]]) ).
cnf(refute_0_297,plain,
( divide(X_32,divide(divide(multiply(X_33,X_32),divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8)),X_33)) != divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8)
| divide(multiply(X_33,X_32),divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8)) != X_9
| divide(X_32,divide(X_9,X_33)) = divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_32,divide(divide(multiply(X_33,X_32),divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8)),X_33)),divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8)) ),[0,1,0],$fot(X_9)]]) ).
cnf(refute_0_298,plain,
( divide(X_32,divide(divide(multiply(X_33,X_32),divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8)),X_33)) != divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8)
| divide(X_32,divide(X_9,X_33)) = divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_33,X_32),divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8)),X_9) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
divide(X_32,divide(X_9,X_33)) = divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8),
inference(resolve,[$cnf( $equal(divide(X_32,divide(divide(multiply(X_33,X_32),divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8)),X_33)),divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8)) )],[refute_0_295,refute_0_298]) ).
cnf(refute_0_300,plain,
divide(Y,divide(Y,divide(divide(multiply(X_33,Y),X_34),X_33))) = divide(divide(multiply(X_33,Y),X_34),X_33),
inference(subst,[],[refute_0_279:[bind(X_11,$fot(divide(divide(multiply(X_33,Y),X_34),X_33)))]]) ).
cnf(refute_0_301,plain,
divide(Y,divide(divide(multiply(X_33,Y),X_34),X_33)) = X_34,
inference(subst,[],[refute_0_249:[bind(X_8,$fot(X_33)),bind(X_9,$fot(X_34))]]) ).
cnf(refute_0_302,plain,
( divide(Y,divide(Y,divide(divide(multiply(X_33,Y),X_34),X_33))) != divide(divide(multiply(X_33,Y),X_34),X_33)
| divide(Y,divide(divide(multiply(X_33,Y),X_34),X_33)) != X_34
| divide(Y,X_34) = divide(divide(multiply(X_33,Y),X_34),X_33) ),
introduced(tautology,[equality,[$cnf( $equal(divide(Y,divide(Y,divide(divide(multiply(X_33,Y),X_34),X_33))),divide(divide(multiply(X_33,Y),X_34),X_33)) ),[0,1],$fot(X_34)]]) ).
cnf(refute_0_303,plain,
( divide(Y,divide(Y,divide(divide(multiply(X_33,Y),X_34),X_33))) != divide(divide(multiply(X_33,Y),X_34),X_33)
| divide(Y,X_34) = divide(divide(multiply(X_33,Y),X_34),X_33) ),
inference(resolve,[$cnf( $equal(divide(Y,divide(divide(multiply(X_33,Y),X_34),X_33)),X_34) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
divide(Y,X_34) = divide(divide(multiply(X_33,Y),X_34),X_33),
inference(resolve,[$cnf( $equal(divide(Y,divide(Y,divide(divide(multiply(X_33,Y),X_34),X_33))),divide(divide(multiply(X_33,Y),X_34),X_33)) )],[refute_0_300,refute_0_303]) ).
cnf(refute_0_305,plain,
( divide(Y,X_34) != divide(divide(multiply(X_33,Y),X_34),X_33)
| divide(divide(multiply(X_33,Y),X_34),X_33) = divide(Y,X_34) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(divide(Y,X_34))),bind(Y0,$fot(divide(divide(multiply(X_33,Y),X_34),X_33)))]]) ).
cnf(refute_0_306,plain,
divide(divide(multiply(X_33,Y),X_34),X_33) = divide(Y,X_34),
inference(resolve,[$cnf( $equal(divide(Y,X_34),divide(divide(multiply(X_33,Y),X_34),X_33)) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8) = divide(multiply(X_33,X_32),X_9),
inference(subst,[],[refute_0_306:[bind(Y,$fot(multiply(X_33,X_32))),bind(X_33,$fot(X_8)),bind(X_34,$fot(X_9))]]) ).
cnf(refute_0_308,plain,
( divide(X_32,divide(X_9,X_33)) != divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8)
| divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8) != divide(multiply(X_33,X_32),X_9)
| divide(X_32,divide(X_9,X_33)) = divide(multiply(X_33,X_32),X_9) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_32,divide(X_9,X_33)),divide(multiply(X_33,X_32),X_9)) ),[0],$fot(divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8))]]) ).
cnf(refute_0_309,plain,
( divide(X_32,divide(X_9,X_33)) != divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8)
| divide(X_32,divide(X_9,X_33)) = divide(multiply(X_33,X_32),X_9) ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8),divide(multiply(X_33,X_32),X_9)) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
divide(X_32,divide(X_9,X_33)) = divide(multiply(X_33,X_32),X_9),
inference(resolve,[$cnf( $equal(divide(X_32,divide(X_9,X_33)),divide(divide(multiply(X_8,multiply(X_33,X_32)),X_9),X_8)) )],[refute_0_299,refute_0_309]) ).
cnf(refute_0_311,plain,
( divide(X_32,divide(X_9,X_33)) != divide(multiply(X_33,X_32),X_9)
| divide(multiply(X_33,X_32),X_9) = divide(X_32,divide(X_9,X_33)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(divide(X_32,divide(X_9,X_33)))),bind(Y0,$fot(divide(multiply(X_33,X_32),X_9)))]]) ).
cnf(refute_0_312,plain,
divide(multiply(X_33,X_32),X_9) = divide(X_32,divide(X_9,X_33)),
inference(resolve,[$cnf( $equal(divide(X_32,divide(X_9,X_33)),divide(multiply(X_33,X_32),X_9)) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
divide(multiply(multiply(X_33,X_32),Y),X_33) = divide(Y,divide(X_33,multiply(X_33,X_32))),
inference(subst,[],[refute_0_312:[bind(X_32,$fot(Y)),bind(X_33,$fot(multiply(X_33,X_32))),bind(X_9,$fot(X_33))]]) ).
cnf(refute_0_314,plain,
( divide(Y,divide(X_33,multiply(X_33,X_32))) != multiply(Y,X_32)
| divide(multiply(multiply(X_33,X_32),Y),X_33) != divide(Y,divide(X_33,multiply(X_33,X_32)))
| divide(multiply(multiply(X_33,X_32),Y),X_33) = multiply(Y,X_32) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(divide(multiply(multiply(X_33,X_32),Y),X_33))),bind(Y0,$fot(divide(Y,divide(X_33,multiply(X_33,X_32))))),bind(Z0,$fot(multiply(Y,X_32)))]]) ).
cnf(refute_0_315,plain,
( divide(Y,divide(X_33,multiply(X_33,X_32))) != multiply(Y,X_32)
| divide(multiply(multiply(X_33,X_32),Y),X_33) = multiply(Y,X_32) ),
inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_33,X_32),Y),X_33),divide(Y,divide(X_33,multiply(X_33,X_32)))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
divide(multiply(multiply(X_33,X_32),Y),X_33) = multiply(Y,X_32),
inference(resolve,[$cnf( $equal(divide(Y,divide(X_33,multiply(X_33,X_32))),multiply(Y,X_32)) )],[refute_0_294,refute_0_315]) ).
cnf(refute_0_317,plain,
divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33)) = divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33)),
introduced(tautology,[refl,[$fot(divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33)))]]) ).
cnf(refute_0_318,plain,
( divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33)) != divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33))
| divide(multiply(multiply(X_33,X_32),Y),X_33) != multiply(Y,X_32)
| divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33)) = divide(X_32,multiply(Y,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33)),divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33))) ),[1,1],$fot(multiply(Y,X_32))]]) ).
cnf(refute_0_319,plain,
( divide(multiply(multiply(X_33,X_32),Y),X_33) != multiply(Y,X_32)
| divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33)) = divide(X_32,multiply(Y,X_32)) ),
inference(resolve,[$cnf( $equal(divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33)),divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33)) = divide(X_32,multiply(Y,X_32)),
inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_33,X_32),Y),X_33),multiply(Y,X_32)) )],[refute_0_316,refute_0_319]) ).
cnf(refute_0_321,plain,
( divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33)) != divide(X_32,multiply(Y,X_32))
| divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33)) != inverse(Y)
| divide(X_32,multiply(Y,X_32)) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33)),inverse(Y)) ),[0],$fot(divide(X_32,multiply(Y,X_32)))]]) ).
cnf(refute_0_322,plain,
( divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33)) != inverse(Y)
| divide(X_32,multiply(Y,X_32)) = inverse(Y) ),
inference(resolve,[$cnf( $equal(divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33)),divide(X_32,multiply(Y,X_32))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
divide(X_32,multiply(Y,X_32)) = inverse(Y),
inference(resolve,[$cnf( $equal(divide(X_32,divide(multiply(multiply(X_33,X_32),Y),X_33)),inverse(Y)) )],[refute_0_256,refute_0_322]) ).
cnf(refute_0_324,plain,
divide(inverse(X_37),multiply(Y,inverse(X_37))) = inverse(Y),
inference(subst,[],[refute_0_323:[bind(X_32,$fot(inverse(X_37)))]]) ).
cnf(refute_0_325,plain,
( divide(inverse(X_37),multiply(Y,inverse(X_37))) != inverse(Y)
| inverse(multiply(X_37,divide(inverse(X_37),multiply(Y,inverse(X_37))))) != multiply(Y,inverse(X_37))
| inverse(multiply(X_37,inverse(Y))) = multiply(Y,inverse(X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_37,divide(inverse(X_37),multiply(Y,inverse(X_37))))),multiply(Y,inverse(X_37))) ),[0,0,1],$fot(inverse(Y))]]) ).
cnf(refute_0_326,plain,
( inverse(multiply(X_37,divide(inverse(X_37),multiply(Y,inverse(X_37))))) != multiply(Y,inverse(X_37))
| inverse(multiply(X_37,inverse(Y))) = multiply(Y,inverse(X_37)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_37),multiply(Y,inverse(X_37))),inverse(Y)) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
inverse(multiply(X_37,inverse(Y))) = multiply(Y,inverse(X_37)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_37,divide(inverse(X_37),multiply(Y,inverse(X_37))))),multiply(Y,inverse(X_37))) )],[refute_0_234,refute_0_326]) ).
cnf(refute_0_328,plain,
multiply(X_37,inverse(Y)) = divide(X_37,Y),
inference(subst,[],[refute_0_112:[bind(X,$fot(X_37)),bind(X_12,$fot(Y))]]) ).
cnf(refute_0_329,plain,
inverse(multiply(X_37,inverse(Y))) = inverse(multiply(X_37,inverse(Y))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_37,inverse(Y))))]]) ).
cnf(refute_0_330,plain,
( multiply(X_37,inverse(Y)) != divide(X_37,Y)
| inverse(multiply(X_37,inverse(Y))) != inverse(multiply(X_37,inverse(Y)))
| inverse(multiply(X_37,inverse(Y))) = inverse(divide(X_37,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_37,inverse(Y))),inverse(multiply(X_37,inverse(Y)))) ),[1,0],$fot(divide(X_37,Y))]]) ).
cnf(refute_0_331,plain,
( multiply(X_37,inverse(Y)) != divide(X_37,Y)
| inverse(multiply(X_37,inverse(Y))) = inverse(divide(X_37,Y)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_37,inverse(Y))),inverse(multiply(X_37,inverse(Y)))) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
inverse(multiply(X_37,inverse(Y))) = inverse(divide(X_37,Y)),
inference(resolve,[$cnf( $equal(multiply(X_37,inverse(Y)),divide(X_37,Y)) )],[refute_0_328,refute_0_331]) ).
cnf(refute_0_333,plain,
( inverse(multiply(X_37,inverse(Y))) != multiply(Y,inverse(X_37))
| inverse(multiply(X_37,inverse(Y))) != inverse(divide(X_37,Y))
| inverse(divide(X_37,Y)) = multiply(Y,inverse(X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_37,inverse(Y))),multiply(Y,inverse(X_37))) ),[0],$fot(inverse(divide(X_37,Y)))]]) ).
cnf(refute_0_334,plain,
( inverse(multiply(X_37,inverse(Y))) != multiply(Y,inverse(X_37))
| inverse(divide(X_37,Y)) = multiply(Y,inverse(X_37)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_37,inverse(Y))),inverse(divide(X_37,Y))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
multiply(Y,inverse(X_37)) = divide(Y,X_37),
inference(subst,[],[refute_0_112:[bind(X,$fot(Y)),bind(X_12,$fot(X_37))]]) ).
cnf(refute_0_336,plain,
( multiply(Y,inverse(X_37)) != divide(Y,X_37)
| inverse(divide(X_37,Y)) != multiply(Y,inverse(X_37))
| inverse(divide(X_37,Y)) = divide(Y,X_37) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_37,Y)),multiply(Y,inverse(X_37))) ),[1],$fot(divide(Y,X_37))]]) ).
cnf(refute_0_337,plain,
( inverse(divide(X_37,Y)) != multiply(Y,inverse(X_37))
| inverse(divide(X_37,Y)) = divide(Y,X_37) ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(X_37)),divide(Y,X_37)) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
( inverse(multiply(X_37,inverse(Y))) != multiply(Y,inverse(X_37))
| inverse(divide(X_37,Y)) = divide(Y,X_37) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_37,Y)),multiply(Y,inverse(X_37))) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
inverse(divide(X_37,Y)) = divide(Y,X_37),
inference(resolve,[$cnf( $equal(inverse(multiply(X_37,inverse(Y))),multiply(Y,inverse(X_37))) )],[refute_0_327,refute_0_338]) ).
cnf(refute_0_340,plain,
inverse(divide(X_40,X_39)) = divide(X_39,X_40),
inference(subst,[],[refute_0_339:[bind(Y,$fot(X_39)),bind(X_37,$fot(X_40))]]) ).
cnf(refute_0_341,plain,
( multiply(X,inverse(divide(X_40,X_39))) != divide(X,divide(X_40,X_39))
| inverse(divide(X_40,X_39)) != divide(X_39,X_40)
| multiply(X,divide(X_39,X_40)) = divide(X,divide(X_40,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(divide(X_40,X_39))),divide(X,divide(X_40,X_39))) ),[0,1],$fot(divide(X_39,X_40))]]) ).
cnf(refute_0_342,plain,
( multiply(X,inverse(divide(X_40,X_39))) != divide(X,divide(X_40,X_39))
| multiply(X,divide(X_39,X_40)) = divide(X,divide(X_40,X_39)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_40,X_39)),divide(X_39,X_40)) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
multiply(X,divide(X_39,X_40)) = divide(X,divide(X_40,X_39)),
inference(resolve,[$cnf( $equal(multiply(X,inverse(divide(X_40,X_39))),divide(X,divide(X_40,X_39))) )],[refute_0_202,refute_0_342]) ).
cnf(refute_0_344,plain,
multiply(X_65,divide(X_66,inverse(X_37))) = divide(X_65,divide(inverse(X_37),X_66)),
inference(subst,[],[refute_0_343:[bind(X,$fot(X_65)),bind(X_39,$fot(X_66)),bind(X_40,$fot(inverse(X_37)))]]) ).
cnf(refute_0_345,plain,
inverse(multiply(X_37,divide(inverse(X_37),divide(inverse(X_37),X_11)))) = divide(inverse(X_37),X_11),
inference(subst,[],[refute_0_233:[bind(Y,$fot(X_37)),bind(X_15,$fot(divide(inverse(X_37),X_11)))]]) ).
cnf(refute_0_346,plain,
divide(inverse(X_37),divide(inverse(X_37),X_11)) = X_11,
inference(subst,[],[refute_0_279:[bind(Y,$fot(inverse(X_37)))]]) ).
cnf(refute_0_347,plain,
( divide(inverse(X_37),divide(inverse(X_37),X_11)) != X_11
| inverse(multiply(X_37,divide(inverse(X_37),divide(inverse(X_37),X_11)))) != divide(inverse(X_37),X_11)
| inverse(multiply(X_37,X_11)) = divide(inverse(X_37),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_37,divide(inverse(X_37),divide(inverse(X_37),X_11)))),divide(inverse(X_37),X_11)) ),[0,0,1],$fot(X_11)]]) ).
cnf(refute_0_348,plain,
( inverse(multiply(X_37,divide(inverse(X_37),divide(inverse(X_37),X_11)))) != divide(inverse(X_37),X_11)
| inverse(multiply(X_37,X_11)) = divide(inverse(X_37),X_11) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_37),divide(inverse(X_37),X_11)),X_11) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
inverse(multiply(X_37,X_11)) = divide(inverse(X_37),X_11),
inference(resolve,[$cnf( $equal(inverse(multiply(X_37,divide(inverse(X_37),divide(inverse(X_37),X_11)))),divide(inverse(X_37),X_11)) )],[refute_0_345,refute_0_348]) ).
cnf(refute_0_350,plain,
inverse(multiply(X_37,X_66)) = divide(inverse(X_37),X_66),
inference(subst,[],[refute_0_349:[bind(X_11,$fot(X_66))]]) ).
cnf(refute_0_351,plain,
( inverse(multiply(X_37,X_66)) != divide(inverse(X_37),X_66)
| divide(inverse(X_37),X_66) = inverse(multiply(X_37,X_66)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_37,X_66)))),bind(Y0,$fot(divide(inverse(X_37),X_66)))]]) ).
cnf(refute_0_352,plain,
divide(inverse(X_37),X_66) = inverse(multiply(X_37,X_66)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_37,X_66)),divide(inverse(X_37),X_66)) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
( multiply(X_65,divide(X_66,inverse(X_37))) != divide(X_65,divide(inverse(X_37),X_66))
| divide(inverse(X_37),X_66) != inverse(multiply(X_37,X_66))
| multiply(X_65,divide(X_66,inverse(X_37))) = divide(X_65,inverse(multiply(X_37,X_66))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_65,divide(X_66,inverse(X_37))),divide(X_65,divide(inverse(X_37),X_66))) ),[1,1],$fot(inverse(multiply(X_37,X_66)))]]) ).
cnf(refute_0_354,plain,
( multiply(X_65,divide(X_66,inverse(X_37))) != divide(X_65,divide(inverse(X_37),X_66))
| multiply(X_65,divide(X_66,inverse(X_37))) = divide(X_65,inverse(multiply(X_37,X_66))) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_37),X_66),inverse(multiply(X_37,X_66))) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
multiply(X_65,divide(X_66,inverse(X_37))) = divide(X_65,inverse(multiply(X_37,X_66))),
inference(resolve,[$cnf( $equal(multiply(X_65,divide(X_66,inverse(X_37))),divide(X_65,divide(inverse(X_37),X_66))) )],[refute_0_344,refute_0_354]) ).
cnf(refute_0_356,plain,
divide(X_66,inverse(X_37)) = multiply(X_66,X_37),
inference(subst,[],[refute_0_73:[bind(X,$fot(X_66)),bind(Y,$fot(X_37))]]) ).
cnf(refute_0_357,plain,
multiply(X_65,divide(X_66,inverse(X_37))) = multiply(X_65,divide(X_66,inverse(X_37))),
introduced(tautology,[refl,[$fot(multiply(X_65,divide(X_66,inverse(X_37))))]]) ).
cnf(refute_0_358,plain,
( multiply(X_65,divide(X_66,inverse(X_37))) != multiply(X_65,divide(X_66,inverse(X_37)))
| divide(X_66,inverse(X_37)) != multiply(X_66,X_37)
| multiply(X_65,divide(X_66,inverse(X_37))) = multiply(X_65,multiply(X_66,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_65,divide(X_66,inverse(X_37))),multiply(X_65,divide(X_66,inverse(X_37)))) ),[1,1],$fot(multiply(X_66,X_37))]]) ).
cnf(refute_0_359,plain,
( divide(X_66,inverse(X_37)) != multiply(X_66,X_37)
| multiply(X_65,divide(X_66,inverse(X_37))) = multiply(X_65,multiply(X_66,X_37)) ),
inference(resolve,[$cnf( $equal(multiply(X_65,divide(X_66,inverse(X_37))),multiply(X_65,divide(X_66,inverse(X_37)))) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
multiply(X_65,divide(X_66,inverse(X_37))) = multiply(X_65,multiply(X_66,X_37)),
inference(resolve,[$cnf( $equal(divide(X_66,inverse(X_37)),multiply(X_66,X_37)) )],[refute_0_356,refute_0_359]) ).
cnf(refute_0_361,plain,
( multiply(X_65,divide(X_66,inverse(X_37))) != multiply(X_65,multiply(X_66,X_37))
| multiply(X_65,divide(X_66,inverse(X_37))) != divide(X_65,inverse(multiply(X_37,X_66)))
| multiply(X_65,multiply(X_66,X_37)) = divide(X_65,inverse(multiply(X_37,X_66))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_65,divide(X_66,inverse(X_37))),divide(X_65,inverse(multiply(X_37,X_66)))) ),[0],$fot(multiply(X_65,multiply(X_66,X_37)))]]) ).
cnf(refute_0_362,plain,
( multiply(X_65,divide(X_66,inverse(X_37))) != divide(X_65,inverse(multiply(X_37,X_66)))
| multiply(X_65,multiply(X_66,X_37)) = divide(X_65,inverse(multiply(X_37,X_66))) ),
inference(resolve,[$cnf( $equal(multiply(X_65,divide(X_66,inverse(X_37))),multiply(X_65,multiply(X_66,X_37))) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
divide(X_65,inverse(multiply(X_37,X_66))) = multiply(X_65,multiply(X_37,X_66)),
inference(subst,[],[refute_0_73:[bind(X,$fot(X_65)),bind(Y,$fot(multiply(X_37,X_66)))]]) ).
cnf(refute_0_364,plain,
( multiply(X_65,multiply(X_66,X_37)) != divide(X_65,inverse(multiply(X_37,X_66)))
| divide(X_65,inverse(multiply(X_37,X_66))) != multiply(X_65,multiply(X_37,X_66))
| multiply(X_65,multiply(X_66,X_37)) = multiply(X_65,multiply(X_37,X_66)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_65,multiply(X_66,X_37)),multiply(X_65,multiply(X_37,X_66))) ),[0],$fot(divide(X_65,inverse(multiply(X_37,X_66))))]]) ).
cnf(refute_0_365,plain,
( multiply(X_65,multiply(X_66,X_37)) != divide(X_65,inverse(multiply(X_37,X_66)))
| multiply(X_65,multiply(X_66,X_37)) = multiply(X_65,multiply(X_37,X_66)) ),
inference(resolve,[$cnf( $equal(divide(X_65,inverse(multiply(X_37,X_66))),multiply(X_65,multiply(X_37,X_66))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
( multiply(X_65,divide(X_66,inverse(X_37))) != divide(X_65,inverse(multiply(X_37,X_66)))
| multiply(X_65,multiply(X_66,X_37)) = multiply(X_65,multiply(X_37,X_66)) ),
inference(resolve,[$cnf( $equal(multiply(X_65,multiply(X_66,X_37)),divide(X_65,inverse(multiply(X_37,X_66)))) )],[refute_0_362,refute_0_365]) ).
cnf(refute_0_367,plain,
multiply(X_65,multiply(X_66,X_37)) = multiply(X_65,multiply(X_37,X_66)),
inference(resolve,[$cnf( $equal(multiply(X_65,divide(X_66,inverse(X_37))),divide(X_65,inverse(multiply(X_37,X_66)))) )],[refute_0_355,refute_0_366]) ).
cnf(refute_0_368,plain,
( multiply(X_65,multiply(X_66,X_37)) != multiply(X_65,multiply(X_37,X_66))
| multiply(X_65,multiply(X_37,X_66)) = multiply(X_65,multiply(X_66,X_37)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_65,multiply(X_66,X_37)))),bind(Y0,$fot(multiply(X_65,multiply(X_37,X_66))))]]) ).
cnf(refute_0_369,plain,
multiply(X_65,multiply(X_37,X_66)) = multiply(X_65,multiply(X_66,X_37)),
inference(resolve,[$cnf( $equal(multiply(X_65,multiply(X_66,X_37)),multiply(X_65,multiply(X_37,X_66))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
multiply(a2,multiply(inverse(b2),b2)) = multiply(a2,multiply(b2,inverse(b2))),
inference(subst,[],[refute_0_369:[bind(X_37,$fot(inverse(b2))),bind(X_65,$fot(a2)),bind(X_66,$fot(b2))]]) ).
cnf(refute_0_371,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(inverse(b2),b2)),
inference(subst,[],[refute_0_126:[bind(X_11,$fot(a2)),bind(X_19,$fot(multiply(inverse(b2),b2)))]]) ).
cnf(refute_0_372,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(a2,multiply(inverse(b2),b2))
| multiply(a2,multiply(inverse(b2),b2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y0,$fot(multiply(a2,multiply(inverse(b2),b2)))),bind(Z0,$fot(multiply(a2,multiply(b2,inverse(b2)))))]]) ).
cnf(refute_0_373,plain,
( multiply(a2,multiply(inverse(b2),b2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(a2,multiply(inverse(b2),b2))) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(inverse(b2),b2)),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_370,refute_0_373]) ).
cnf(refute_0_375,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(a2,multiply(b2,inverse(b2))) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y0,$fot(multiply(a2,multiply(b2,inverse(b2))))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_376,plain,
( multiply(a2,multiply(b2,inverse(b2))) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
multiply(multiply(inverse(b2),b2),a2) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),a2) )],[refute_0_201,refute_0_376]) ).
cnf(refute_0_378,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_379,plain,
( a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4)
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_379,refute_0_149]) ).
cnf(refute_0_381,plain,
multiply(inverse(X_7),inverse(X_21)) = divide(inverse(X_21),X_7),
inference(subst,[],[refute_0_87:[bind(X_8,$fot(inverse(X_21)))]]) ).
cnf(refute_0_382,plain,
multiply(inverse(X_7),inverse(X_21)) = divide(inverse(X_7),X_21),
inference(subst,[],[refute_0_112:[bind(X,$fot(inverse(X_7))),bind(X_12,$fot(X_21))]]) ).
cnf(refute_0_383,plain,
( multiply(inverse(X_7),inverse(X_21)) != divide(inverse(X_21),X_7)
| multiply(inverse(X_7),inverse(X_21)) != divide(inverse(X_7),X_21)
| divide(inverse(X_7),X_21) = divide(inverse(X_21),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_7),inverse(X_21)),divide(inverse(X_21),X_7)) ),[0],$fot(divide(inverse(X_7),X_21))]]) ).
cnf(refute_0_384,plain,
( multiply(inverse(X_7),inverse(X_21)) != divide(inverse(X_21),X_7)
| divide(inverse(X_7),X_21) = divide(inverse(X_21),X_7) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_7),inverse(X_21)),divide(inverse(X_7),X_21)) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
divide(inverse(X_7),X_21) = divide(inverse(X_21),X_7),
inference(resolve,[$cnf( $equal(multiply(inverse(X_7),inverse(X_21)),divide(inverse(X_21),X_7)) )],[refute_0_381,refute_0_384]) ).
cnf(refute_0_386,plain,
( inverse(multiply(X_37,X_11)) != divide(inverse(X_37),X_11)
| divide(inverse(X_37),X_11) = inverse(multiply(X_37,X_11)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_37,X_11)))),bind(Y0,$fot(divide(inverse(X_37),X_11)))]]) ).
cnf(refute_0_387,plain,
divide(inverse(X_37),X_11) = inverse(multiply(X_37,X_11)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_37,X_11)),divide(inverse(X_37),X_11)) )],[refute_0_349,refute_0_386]) ).
cnf(refute_0_388,plain,
divide(inverse(X_7),X_21) = inverse(multiply(X_7,X_21)),
inference(subst,[],[refute_0_387:[bind(X_11,$fot(X_21)),bind(X_37,$fot(X_7))]]) ).
cnf(refute_0_389,plain,
( divide(inverse(X_7),X_21) != divide(inverse(X_21),X_7)
| divide(inverse(X_7),X_21) != inverse(multiply(X_7,X_21))
| inverse(multiply(X_7,X_21)) = divide(inverse(X_21),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),X_21),divide(inverse(X_21),X_7)) ),[0],$fot(inverse(multiply(X_7,X_21)))]]) ).
cnf(refute_0_390,plain,
( divide(inverse(X_7),X_21) != divide(inverse(X_21),X_7)
| inverse(multiply(X_7,X_21)) = divide(inverse(X_21),X_7) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),X_21),inverse(multiply(X_7,X_21))) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
divide(inverse(X_21),X_7) = inverse(multiply(X_21,X_7)),
inference(subst,[],[refute_0_387:[bind(X_11,$fot(X_7)),bind(X_37,$fot(X_21))]]) ).
cnf(refute_0_392,plain,
( divide(inverse(X_21),X_7) != inverse(multiply(X_21,X_7))
| inverse(multiply(X_7,X_21)) != divide(inverse(X_21),X_7)
| inverse(multiply(X_7,X_21)) = inverse(multiply(X_21,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_7,X_21)),divide(inverse(X_21),X_7)) ),[1],$fot(inverse(multiply(X_21,X_7)))]]) ).
cnf(refute_0_393,plain,
( inverse(multiply(X_7,X_21)) != divide(inverse(X_21),X_7)
| inverse(multiply(X_7,X_21)) = inverse(multiply(X_21,X_7)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_21),X_7),inverse(multiply(X_21,X_7))) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
( divide(inverse(X_7),X_21) != divide(inverse(X_21),X_7)
| inverse(multiply(X_7,X_21)) = inverse(multiply(X_21,X_7)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_7,X_21)),divide(inverse(X_21),X_7)) )],[refute_0_390,refute_0_393]) ).
cnf(refute_0_395,plain,
inverse(multiply(X_7,X_21)) = inverse(multiply(X_21,X_7)),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),X_21),divide(inverse(X_21),X_7)) )],[refute_0_385,refute_0_394]) ).
cnf(refute_0_396,plain,
inverse(multiply(divide(X_72,multiply(X_71,X_73)),multiply(X_73,X_71))) = inverse(multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73)))),
inference(subst,[],[refute_0_395:[bind(X_21,$fot(multiply(X_73,X_71))),bind(X_7,$fot(divide(X_72,multiply(X_71,X_73))))]]) ).
cnf(refute_0_397,plain,
divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(divide(inverse(X_7),divide(divide(divide(X_8,X_7),X_9),X_8)),Z),inverse(X_7))) = Z,
inference(subst,[],[refute_0_23:[bind(X,$fot(divide(divide(divide(X_8,X_7),X_9),X_8))),bind(Y,$fot(inverse(X_7)))]]) ).
cnf(refute_0_398,plain,
divide(inverse(X_7),divide(divide(divide(X_8,X_7),X_9),X_8)) = X_9,
inference(subst,[],[refute_0_23:[bind(X,$fot(X_7)),bind(Y,$fot(X_8)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_399,plain,
( divide(inverse(X_7),divide(divide(divide(X_8,X_7),X_9),X_8)) != X_9
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(divide(inverse(X_7),divide(divide(divide(X_8,X_7),X_9),X_8)),Z),inverse(X_7))) != Z
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(divide(inverse(X_7),divide(divide(divide(X_8,X_7),X_9),X_8)),Z),inverse(X_7))),Z) ),[0,1,0,0],$fot(X_9)]]) ).
cnf(refute_0_400,plain,
( divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(divide(inverse(X_7),divide(divide(divide(X_8,X_7),X_9),X_8)),Z),inverse(X_7))) != Z
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7))) = Z ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(divide(divide(X_8,X_7),X_9),X_8)),X_9) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7))) = Z,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(divide(inverse(X_7),divide(divide(divide(X_8,X_7),X_9),X_8)),Z),inverse(X_7))),Z) )],[refute_0_397,refute_0_400]) ).
cnf(refute_0_402,plain,
divide(divide(X_9,Z),inverse(X_7)) = multiply(divide(X_9,Z),X_7),
inference(subst,[],[refute_0_73:[bind(X,$fot(divide(X_9,Z))),bind(Y,$fot(X_7))]]) ).
cnf(refute_0_403,plain,
divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7))) = divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7))),
introduced(tautology,[refl,[$fot(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7))))]]) ).
cnf(refute_0_404,plain,
( divide(divide(X_9,Z),inverse(X_7)) != multiply(divide(X_9,Z),X_7)
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7))) != divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7)))
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7))) = divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7))),divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7)))) ),[1,1],$fot(multiply(divide(X_9,Z),X_7))]]) ).
cnf(refute_0_405,plain,
( divide(divide(X_9,Z),inverse(X_7)) != multiply(divide(X_9,Z),X_7)
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7))) = divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7))),divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7)))) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7))) = divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)),
inference(resolve,[$cnf( $equal(divide(divide(X_9,Z),inverse(X_7)),multiply(divide(X_9,Z),X_7)) )],[refute_0_402,refute_0_405]) ).
cnf(refute_0_407,plain,
( divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7))) != Z
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7))) != divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7))
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7))),Z) ),[0],$fot(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)))]]) ).
cnf(refute_0_408,plain,
( divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7))) != Z
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)) = Z ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7))),divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7))) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)) = Z,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,Z),inverse(X_7))),Z) )],[refute_0_401,refute_0_408]) ).
cnf(refute_0_410,plain,
( multiply(X,divide(X_39,X_40)) != divide(X,divide(X_40,X_39))
| divide(X,divide(X_40,X_39)) = multiply(X,divide(X_39,X_40)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,divide(X_39,X_40)))),bind(Y0,$fot(divide(X,divide(X_40,X_39))))]]) ).
cnf(refute_0_411,plain,
divide(X,divide(X_40,X_39)) = multiply(X,divide(X_39,X_40)),
inference(resolve,[$cnf( $equal(multiply(X,divide(X_39,X_40)),divide(X,divide(X_40,X_39))) )],[refute_0_343,refute_0_410]) ).
cnf(refute_0_412,plain,
divide(X_32,divide(X_9,X_33)) = multiply(X_32,divide(X_33,X_9)),
inference(subst,[],[refute_0_411:[bind(X,$fot(X_32)),bind(X_39,$fot(X_33)),bind(X_40,$fot(X_9))]]) ).
cnf(refute_0_413,plain,
( divide(X_32,divide(X_9,X_33)) != multiply(X_32,divide(X_33,X_9))
| divide(X_32,divide(X_9,X_33)) != divide(multiply(X_33,X_32),X_9)
| multiply(X_32,divide(X_33,X_9)) = divide(multiply(X_33,X_32),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_32,divide(X_9,X_33)),divide(multiply(X_33,X_32),X_9)) ),[0],$fot(multiply(X_32,divide(X_33,X_9)))]]) ).
cnf(refute_0_414,plain,
( divide(X_32,divide(X_9,X_33)) != divide(multiply(X_33,X_32),X_9)
| multiply(X_32,divide(X_33,X_9)) = divide(multiply(X_33,X_32),X_9) ),
inference(resolve,[$cnf( $equal(divide(X_32,divide(X_9,X_33)),multiply(X_32,divide(X_33,X_9))) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
multiply(X_32,divide(X_33,X_9)) = divide(multiply(X_33,X_32),X_9),
inference(resolve,[$cnf( $equal(divide(X_32,divide(X_9,X_33)),divide(multiply(X_33,X_32),X_9)) )],[refute_0_310,refute_0_414]) ).
cnf(refute_0_416,plain,
( multiply(X_32,divide(X_33,X_9)) != divide(multiply(X_33,X_32),X_9)
| divide(multiply(X_33,X_32),X_9) = multiply(X_32,divide(X_33,X_9)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_32,divide(X_33,X_9)))),bind(Y0,$fot(divide(multiply(X_33,X_32),X_9)))]]) ).
cnf(refute_0_417,plain,
divide(multiply(X_33,X_32),X_9) = multiply(X_32,divide(X_33,X_9)),
inference(resolve,[$cnf( $equal(multiply(X_32,divide(X_33,X_9)),divide(multiply(X_33,X_32),X_9)) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
divide(multiply(X_8,multiply(X_9,divide(X_7,X_8))),multiply(divide(X_9,Z),X_7)) = multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7))),
inference(subst,[],[refute_0_417:[bind(X_32,$fot(multiply(X_9,divide(X_7,X_8)))),bind(X_33,$fot(X_8)),bind(X_9,$fot(multiply(divide(X_9,Z),X_7)))]]) ).
cnf(refute_0_419,plain,
divide(X_9,divide(X_8,X_7)) = multiply(X_9,divide(X_7,X_8)),
inference(subst,[],[refute_0_411:[bind(X,$fot(X_9)),bind(X_39,$fot(X_7)),bind(X_40,$fot(X_8))]]) ).
cnf(refute_0_420,plain,
multiply(X_8,divide(X_9,divide(X_8,X_7))) = multiply(X_8,divide(X_9,divide(X_8,X_7))),
introduced(tautology,[refl,[$fot(multiply(X_8,divide(X_9,divide(X_8,X_7))))]]) ).
cnf(refute_0_421,plain,
( multiply(X_8,divide(X_9,divide(X_8,X_7))) != multiply(X_8,divide(X_9,divide(X_8,X_7)))
| divide(X_9,divide(X_8,X_7)) != multiply(X_9,divide(X_7,X_8))
| multiply(X_8,divide(X_9,divide(X_8,X_7))) = multiply(X_8,multiply(X_9,divide(X_7,X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_8,divide(X_9,divide(X_8,X_7))),multiply(X_8,divide(X_9,divide(X_8,X_7)))) ),[1,1],$fot(multiply(X_9,divide(X_7,X_8)))]]) ).
cnf(refute_0_422,plain,
( divide(X_9,divide(X_8,X_7)) != multiply(X_9,divide(X_7,X_8))
| multiply(X_8,divide(X_9,divide(X_8,X_7))) = multiply(X_8,multiply(X_9,divide(X_7,X_8))) ),
inference(resolve,[$cnf( $equal(multiply(X_8,divide(X_9,divide(X_8,X_7))),multiply(X_8,divide(X_9,divide(X_8,X_7)))) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
multiply(X_8,divide(X_9,divide(X_8,X_7))) = multiply(X_8,multiply(X_9,divide(X_7,X_8))),
inference(resolve,[$cnf( $equal(divide(X_9,divide(X_8,X_7)),multiply(X_9,divide(X_7,X_8))) )],[refute_0_419,refute_0_422]) ).
cnf(refute_0_424,plain,
divide(X_8,divide(divide(X_8,X_7),X_9)) = multiply(X_8,divide(X_9,divide(X_8,X_7))),
inference(subst,[],[refute_0_411:[bind(X,$fot(X_8)),bind(X_39,$fot(X_9)),bind(X_40,$fot(divide(X_8,X_7)))]]) ).
cnf(refute_0_425,plain,
( multiply(X_8,divide(X_9,divide(X_8,X_7))) != multiply(X_8,multiply(X_9,divide(X_7,X_8)))
| divide(X_8,divide(divide(X_8,X_7),X_9)) != multiply(X_8,divide(X_9,divide(X_8,X_7)))
| divide(X_8,divide(divide(X_8,X_7),X_9)) = multiply(X_8,multiply(X_9,divide(X_7,X_8))) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(divide(X_8,divide(divide(X_8,X_7),X_9)))),bind(Y0,$fot(multiply(X_8,divide(X_9,divide(X_8,X_7))))),bind(Z0,$fot(multiply(X_8,multiply(X_9,divide(X_7,X_8)))))]]) ).
cnf(refute_0_426,plain,
( multiply(X_8,divide(X_9,divide(X_8,X_7))) != multiply(X_8,multiply(X_9,divide(X_7,X_8)))
| divide(X_8,divide(divide(X_8,X_7),X_9)) = multiply(X_8,multiply(X_9,divide(X_7,X_8))) ),
inference(resolve,[$cnf( $equal(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(X_8,divide(X_9,divide(X_8,X_7)))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
divide(X_8,divide(divide(X_8,X_7),X_9)) = multiply(X_8,multiply(X_9,divide(X_7,X_8))),
inference(resolve,[$cnf( $equal(multiply(X_8,divide(X_9,divide(X_8,X_7))),multiply(X_8,multiply(X_9,divide(X_7,X_8)))) )],[refute_0_423,refute_0_426]) ).
cnf(refute_0_428,plain,
divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)) = divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)),
introduced(tautology,[refl,[$fot(divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)))]]) ).
cnf(refute_0_429,plain,
( divide(X_8,divide(divide(X_8,X_7),X_9)) != multiply(X_8,multiply(X_9,divide(X_7,X_8)))
| divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)) != divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7))
| divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)) = divide(multiply(X_8,multiply(X_9,divide(X_7,X_8))),multiply(divide(X_9,Z),X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)),divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7))) ),[1,0],$fot(multiply(X_8,multiply(X_9,divide(X_7,X_8))))]]) ).
cnf(refute_0_430,plain,
( divide(X_8,divide(divide(X_8,X_7),X_9)) != multiply(X_8,multiply(X_9,divide(X_7,X_8)))
| divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)) = divide(multiply(X_8,multiply(X_9,divide(X_7,X_8))),multiply(divide(X_9,Z),X_7)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)),divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7))) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)) = divide(multiply(X_8,multiply(X_9,divide(X_7,X_8))),multiply(divide(X_9,Z),X_7)),
inference(resolve,[$cnf( $equal(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(X_8,multiply(X_9,divide(X_7,X_8)))) )],[refute_0_427,refute_0_430]) ).
cnf(refute_0_432,plain,
( divide(multiply(X_8,multiply(X_9,divide(X_7,X_8))),multiply(divide(X_9,Z),X_7)) != multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7)))
| divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)) != divide(multiply(X_8,multiply(X_9,divide(X_7,X_8))),multiply(divide(X_9,Z),X_7))
| divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)) = multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7))) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)))),bind(Y0,$fot(divide(multiply(X_8,multiply(X_9,divide(X_7,X_8))),multiply(divide(X_9,Z),X_7)))),bind(Z0,$fot(multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7)))))]]) ).
cnf(refute_0_433,plain,
( divide(multiply(X_8,multiply(X_9,divide(X_7,X_8))),multiply(divide(X_9,Z),X_7)) != multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7)))
| divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)) = multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7))) ),
inference(resolve,[$cnf( $equal(divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)),divide(multiply(X_8,multiply(X_9,divide(X_7,X_8))),multiply(divide(X_9,Z),X_7))) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)) = multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7))),
inference(resolve,[$cnf( $equal(divide(multiply(X_8,multiply(X_9,divide(X_7,X_8))),multiply(divide(X_9,Z),X_7)),multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7)))) )],[refute_0_418,refute_0_433]) ).
cnf(refute_0_435,plain,
inverse(multiply(divide(X_37,Y),X_43)) = divide(inverse(divide(X_37,Y)),X_43),
inference(subst,[],[refute_0_349:[bind(X_11,$fot(X_43)),bind(X_37,$fot(divide(X_37,Y)))]]) ).
cnf(refute_0_436,plain,
( inverse(multiply(divide(X_37,Y),X_43)) != divide(inverse(divide(X_37,Y)),X_43)
| inverse(divide(X_37,Y)) != divide(Y,X_37)
| inverse(multiply(divide(X_37,Y),X_43)) = divide(divide(Y,X_37),X_43) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(X_37,Y),X_43)),divide(inverse(divide(X_37,Y)),X_43)) ),[1,0],$fot(divide(Y,X_37))]]) ).
cnf(refute_0_437,plain,
( inverse(multiply(divide(X_37,Y),X_43)) != divide(inverse(divide(X_37,Y)),X_43)
| inverse(multiply(divide(X_37,Y),X_43)) = divide(divide(Y,X_37),X_43) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_37,Y)),divide(Y,X_37)) )],[refute_0_339,refute_0_436]) ).
cnf(refute_0_438,plain,
inverse(multiply(divide(X_37,Y),X_43)) = divide(divide(Y,X_37),X_43),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(X_37,Y),X_43)),divide(inverse(divide(X_37,Y)),X_43)) )],[refute_0_435,refute_0_437]) ).
cnf(refute_0_439,plain,
inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,Z),X_7))) = divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)),
inference(subst,[],[refute_0_438:[bind(Y,$fot(X_8)),bind(X_37,$fot(divide(divide(X_8,X_7),X_9))),bind(X_43,$fot(multiply(divide(X_9,Z),X_7)))]]) ).
cnf(refute_0_440,plain,
divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)) = inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,Z),X_7))),
inference(subst,[],[refute_0_387:[bind(X_11,$fot(multiply(divide(X_9,Z),X_7))),bind(X_37,$fot(divide(divide(divide(X_8,X_7),X_9),X_8)))]]) ).
cnf(refute_0_441,plain,
( divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)) != inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,Z),X_7)))
| inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,Z),X_7))) != divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7))
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)) = divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)))),bind(Y0,$fot(inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,Z),X_7))))),bind(Z0,$fot(divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7))))]]) ).
cnf(refute_0_442,plain,
( inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,Z),X_7))) != divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7))
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)) = divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)),inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,Z),X_7)))) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)) = divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,Z),X_7))),divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7))) )],[refute_0_439,refute_0_442]) ).
cnf(refute_0_444,plain,
( divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)) != multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7)))
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)) != divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7))
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)) = multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7))) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)))),bind(Y0,$fot(divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)))),bind(Z0,$fot(multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7)))))]]) ).
cnf(refute_0_445,plain,
( divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)) != multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7)))
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)) = multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7))) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)),divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7))) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)) = multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7))),
inference(resolve,[$cnf( $equal(divide(divide(X_8,divide(divide(X_8,X_7),X_9)),multiply(divide(X_9,Z),X_7)),multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7)))) )],[refute_0_434,refute_0_445]) ).
cnf(refute_0_447,plain,
( divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)) != Z
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)) != multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7)))
| multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)),Z) ),[0],$fot(multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7))))]]) ).
cnf(refute_0_448,plain,
( divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)) != Z
| multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7))) = Z ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)),multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7)))) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
multiply(multiply(X_9,divide(X_7,X_8)),divide(X_8,multiply(divide(X_9,Z),X_7))) = Z,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,Z),X_7)),Z) )],[refute_0_409,refute_0_448]) ).
cnf(refute_0_450,plain,
multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(divide(X_45,X_45),X_46))) = X_45,
inference(subst,[],[refute_0_449:[bind(Z,$fot(X_45)),bind(X_7,$fot(X_46)),bind(X_8,$fot(X_47)),bind(X_9,$fot(X_45))]]) ).
cnf(refute_0_451,plain,
identity = divide(X_45,X_45),
inference(subst,[],[identity:[bind(X,$fot(X_45))]]) ).
cnf(refute_0_452,plain,
( identity != divide(X_45,X_45)
| divide(X_45,X_45) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(X_45,X_45)))]]) ).
cnf(refute_0_453,plain,
divide(X_45,X_45) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_45,X_45)) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
( multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(divide(X_45,X_45),X_46))) != X_45
| divide(X_45,X_45) != identity
| multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))) = X_45 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(divide(X_45,X_45),X_46))),X_45) ),[0,1,1,0],$fot(identity)]]) ).
cnf(refute_0_455,plain,
( multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(divide(X_45,X_45),X_46))) != X_45
| multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))) = X_45 ),
inference(resolve,[$cnf( $equal(divide(X_45,X_45),identity) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))) = X_45,
inference(resolve,[$cnf( $equal(multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(divide(X_45,X_45),X_46))),X_45) )],[refute_0_450,refute_0_455]) ).
cnf(refute_0_457,plain,
multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,X_46)) = multiply(divide(X_47,X_46),multiply(X_45,divide(X_46,X_47))),
inference(subst,[],[refute_0_126:[bind(X_11,$fot(divide(X_47,X_46))),bind(X_19,$fot(multiply(X_45,divide(X_46,X_47))))]]) ).
cnf(refute_0_458,plain,
inverse(inverse(X_3)) = divide(identity,inverse(X_3)),
inference(subst,[],[inverse:[bind(X,$fot(inverse(X_3)))]]) ).
cnf(refute_0_459,plain,
multiply(identity,X_3) = divide(identity,inverse(X_3)),
inference(subst,[],[refute_0_15:[bind(X,$fot(identity)),bind(Y,$fot(X_3))]]) ).
cnf(refute_0_460,plain,
( multiply(identity,X_3) != divide(identity,inverse(X_3))
| divide(identity,inverse(X_3)) = multiply(identity,X_3) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(identity,X_3))),bind(Y0,$fot(divide(identity,inverse(X_3))))]]) ).
cnf(refute_0_461,plain,
divide(identity,inverse(X_3)) = multiply(identity,X_3),
inference(resolve,[$cnf( $equal(multiply(identity,X_3),divide(identity,inverse(X_3))) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
( divide(identity,inverse(X_3)) != multiply(identity,X_3)
| inverse(inverse(X_3)) != divide(identity,inverse(X_3))
| inverse(inverse(X_3)) = multiply(identity,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_3)),divide(identity,inverse(X_3))) ),[1],$fot(multiply(identity,X_3))]]) ).
cnf(refute_0_463,plain,
( inverse(inverse(X_3)) != divide(identity,inverse(X_3))
| inverse(inverse(X_3)) = multiply(identity,X_3) ),
inference(resolve,[$cnf( $equal(divide(identity,inverse(X_3)),multiply(identity,X_3)) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
inverse(inverse(X_3)) = multiply(identity,X_3),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),divide(identity,inverse(X_3))) )],[refute_0_458,refute_0_463]) ).
cnf(refute_0_465,plain,
inverse(inverse(X_3)) = X_3,
inference(subst,[],[refute_0_108:[bind(X_11,$fot(X_3))]]) ).
cnf(refute_0_466,plain,
( inverse(inverse(X_3)) != X_3
| inverse(inverse(X_3)) != multiply(identity,X_3)
| X_3 = multiply(identity,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_3)),multiply(identity,X_3)) ),[0],$fot(X_3)]]) ).
cnf(refute_0_467,plain,
( inverse(inverse(X_3)) != multiply(identity,X_3)
| X_3 = multiply(identity,X_3) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),X_3) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
X_3 = multiply(identity,X_3),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),multiply(identity,X_3)) )],[refute_0_464,refute_0_467]) ).
cnf(refute_0_469,plain,
( X_3 != multiply(identity,X_3)
| multiply(identity,X_3) = X_3 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_3)),bind(Y0,$fot(multiply(identity,X_3)))]]) ).
cnf(refute_0_470,plain,
multiply(identity,X_3) = X_3,
inference(resolve,[$cnf( $equal(X_3,multiply(identity,X_3)) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
multiply(identity,X_46) = X_46,
inference(subst,[],[refute_0_470:[bind(X_3,$fot(X_46))]]) ).
cnf(refute_0_472,plain,
divide(X_47,multiply(identity,X_46)) = divide(X_47,multiply(identity,X_46)),
introduced(tautology,[refl,[$fot(divide(X_47,multiply(identity,X_46)))]]) ).
cnf(refute_0_473,plain,
( multiply(identity,X_46) != X_46
| divide(X_47,multiply(identity,X_46)) != divide(X_47,multiply(identity,X_46))
| divide(X_47,multiply(identity,X_46)) = divide(X_47,X_46) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_47,multiply(identity,X_46)),divide(X_47,multiply(identity,X_46))) ),[1,1],$fot(X_46)]]) ).
cnf(refute_0_474,plain,
( multiply(identity,X_46) != X_46
| divide(X_47,multiply(identity,X_46)) = divide(X_47,X_46) ),
inference(resolve,[$cnf( $equal(divide(X_47,multiply(identity,X_46)),divide(X_47,multiply(identity,X_46))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
divide(X_47,multiply(identity,X_46)) = divide(X_47,X_46),
inference(resolve,[$cnf( $equal(multiply(identity,X_46),X_46) )],[refute_0_471,refute_0_474]) ).
cnf(refute_0_476,plain,
multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))) = multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))))]]) ).
cnf(refute_0_477,plain,
( multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))) != multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46)))
| divide(X_47,multiply(identity,X_46)) != divide(X_47,X_46)
| multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))) = multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,X_46)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))),multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46)))) ),[1,1],$fot(divide(X_47,X_46))]]) ).
cnf(refute_0_478,plain,
( divide(X_47,multiply(identity,X_46)) != divide(X_47,X_46)
| multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))) = multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,X_46)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))),multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46)))) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))) = multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,X_46)),
inference(resolve,[$cnf( $equal(divide(X_47,multiply(identity,X_46)),divide(X_47,X_46)) )],[refute_0_475,refute_0_478]) ).
cnf(refute_0_480,plain,
( multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,X_46)) != multiply(divide(X_47,X_46),multiply(X_45,divide(X_46,X_47)))
| multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))) != multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,X_46))
| multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))) = multiply(divide(X_47,X_46),multiply(X_45,divide(X_46,X_47))) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))))),bind(Y0,$fot(multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,X_46)))),bind(Z0,$fot(multiply(divide(X_47,X_46),multiply(X_45,divide(X_46,X_47)))))]]) ).
cnf(refute_0_481,plain,
( multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,X_46)) != multiply(divide(X_47,X_46),multiply(X_45,divide(X_46,X_47)))
| multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))) = multiply(divide(X_47,X_46),multiply(X_45,divide(X_46,X_47))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))),multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,X_46))) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))) = multiply(divide(X_47,X_46),multiply(X_45,divide(X_46,X_47))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,X_46)),multiply(divide(X_47,X_46),multiply(X_45,divide(X_46,X_47)))) )],[refute_0_457,refute_0_481]) ).
cnf(refute_0_483,plain,
( multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))) != X_45
| multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))) != multiply(divide(X_47,X_46),multiply(X_45,divide(X_46,X_47)))
| multiply(divide(X_47,X_46),multiply(X_45,divide(X_46,X_47))) = X_45 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))),X_45) ),[0],$fot(multiply(divide(X_47,X_46),multiply(X_45,divide(X_46,X_47))))]]) ).
cnf(refute_0_484,plain,
( multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))) != X_45
| multiply(divide(X_47,X_46),multiply(X_45,divide(X_46,X_47))) = X_45 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))),multiply(divide(X_47,X_46),multiply(X_45,divide(X_46,X_47)))) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
multiply(divide(X_47,X_46),multiply(X_45,divide(X_46,X_47))) = X_45,
inference(resolve,[$cnf( $equal(multiply(multiply(X_45,divide(X_46,X_47)),divide(X_47,multiply(identity,X_46))),X_45) )],[refute_0_456,refute_0_484]) ).
cnf(refute_0_486,plain,
multiply(divide(X_51,inverse(X_37)),multiply(X_49,divide(inverse(X_37),X_51))) = X_49,
inference(subst,[],[refute_0_485:[bind(X_45,$fot(X_49)),bind(X_46,$fot(inverse(X_37))),bind(X_47,$fot(X_51))]]) ).
cnf(refute_0_487,plain,
inverse(multiply(X_37,X_51)) = divide(inverse(X_37),X_51),
inference(subst,[],[refute_0_349:[bind(X_11,$fot(X_51))]]) ).
cnf(refute_0_488,plain,
( inverse(multiply(X_37,X_51)) != divide(inverse(X_37),X_51)
| divide(inverse(X_37),X_51) = inverse(multiply(X_37,X_51)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_37,X_51)))),bind(Y0,$fot(divide(inverse(X_37),X_51)))]]) ).
cnf(refute_0_489,plain,
divide(inverse(X_37),X_51) = inverse(multiply(X_37,X_51)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_37,X_51)),divide(inverse(X_37),X_51)) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
( multiply(divide(X_51,inverse(X_37)),multiply(X_49,divide(inverse(X_37),X_51))) != X_49
| divide(inverse(X_37),X_51) != inverse(multiply(X_37,X_51))
| multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))) = X_49 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_51,inverse(X_37)),multiply(X_49,divide(inverse(X_37),X_51))),X_49) ),[0,1,1],$fot(inverse(multiply(X_37,X_51)))]]) ).
cnf(refute_0_491,plain,
( multiply(divide(X_51,inverse(X_37)),multiply(X_49,divide(inverse(X_37),X_51))) != X_49
| multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))) = X_49 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_37),X_51),inverse(multiply(X_37,X_51))) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))) = X_49,
inference(resolve,[$cnf( $equal(multiply(divide(X_51,inverse(X_37)),multiply(X_49,divide(inverse(X_37),X_51))),X_49) )],[refute_0_486,refute_0_491]) ).
cnf(refute_0_493,plain,
multiply(X_49,inverse(multiply(X_37,X_51))) = divide(X_49,multiply(X_37,X_51)),
inference(subst,[],[refute_0_112:[bind(X,$fot(X_49)),bind(X_12,$fot(multiply(X_37,X_51)))]]) ).
cnf(refute_0_494,plain,
multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51)))) = multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51)))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51)))))]]) ).
cnf(refute_0_495,plain,
( multiply(X_49,inverse(multiply(X_37,X_51))) != divide(X_49,multiply(X_37,X_51))
| multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51)))) != multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51))))
| multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51)))) = multiply(multiply(X_51,X_37),divide(X_49,multiply(X_37,X_51))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51)))),multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51))))) ),[1,1],$fot(divide(X_49,multiply(X_37,X_51)))]]) ).
cnf(refute_0_496,plain,
( multiply(X_49,inverse(multiply(X_37,X_51))) != divide(X_49,multiply(X_37,X_51))
| multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51)))) = multiply(multiply(X_51,X_37),divide(X_49,multiply(X_37,X_51))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51)))),multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51))))) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51)))) = multiply(multiply(X_51,X_37),divide(X_49,multiply(X_37,X_51))),
inference(resolve,[$cnf( $equal(multiply(X_49,inverse(multiply(X_37,X_51))),divide(X_49,multiply(X_37,X_51))) )],[refute_0_493,refute_0_496]) ).
cnf(refute_0_498,plain,
divide(X_51,inverse(X_37)) = multiply(X_51,X_37),
inference(subst,[],[refute_0_73:[bind(X,$fot(X_51)),bind(Y,$fot(X_37))]]) ).
cnf(refute_0_499,plain,
multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))) = multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))),
introduced(tautology,[refl,[$fot(multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))))]]) ).
cnf(refute_0_500,plain,
( multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))) != multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51))))
| divide(X_51,inverse(X_37)) != multiply(X_51,X_37)
| multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))) = multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))),multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51))))) ),[1,0],$fot(multiply(X_51,X_37))]]) ).
cnf(refute_0_501,plain,
( divide(X_51,inverse(X_37)) != multiply(X_51,X_37)
| multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))) = multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51)))) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))),multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51))))) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))) = multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51)))),
inference(resolve,[$cnf( $equal(divide(X_51,inverse(X_37)),multiply(X_51,X_37)) )],[refute_0_498,refute_0_501]) ).
cnf(refute_0_503,plain,
( multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51)))) != multiply(multiply(X_51,X_37),divide(X_49,multiply(X_37,X_51)))
| multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))) != multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51))))
| multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))) = multiply(multiply(X_51,X_37),divide(X_49,multiply(X_37,X_51))) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))))),bind(Y0,$fot(multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51)))))),bind(Z0,$fot(multiply(multiply(X_51,X_37),divide(X_49,multiply(X_37,X_51)))))]]) ).
cnf(refute_0_504,plain,
( multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51)))) != multiply(multiply(X_51,X_37),divide(X_49,multiply(X_37,X_51)))
| multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))) = multiply(multiply(X_51,X_37),divide(X_49,multiply(X_37,X_51))) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))),multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51))))) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))) = multiply(multiply(X_51,X_37),divide(X_49,multiply(X_37,X_51))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_51,X_37),multiply(X_49,inverse(multiply(X_37,X_51)))),multiply(multiply(X_51,X_37),divide(X_49,multiply(X_37,X_51)))) )],[refute_0_497,refute_0_504]) ).
cnf(refute_0_506,plain,
( multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))) != X_49
| multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))) != multiply(multiply(X_51,X_37),divide(X_49,multiply(X_37,X_51)))
| multiply(multiply(X_51,X_37),divide(X_49,multiply(X_37,X_51))) = X_49 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))),X_49) ),[0],$fot(multiply(multiply(X_51,X_37),divide(X_49,multiply(X_37,X_51))))]]) ).
cnf(refute_0_507,plain,
( multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))) != X_49
| multiply(multiply(X_51,X_37),divide(X_49,multiply(X_37,X_51))) = X_49 ),
inference(resolve,[$cnf( $equal(multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))),multiply(multiply(X_51,X_37),divide(X_49,multiply(X_37,X_51)))) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
multiply(multiply(X_51,X_37),divide(X_49,multiply(X_37,X_51))) = X_49,
inference(resolve,[$cnf( $equal(multiply(divide(X_51,inverse(X_37)),multiply(X_49,inverse(multiply(X_37,X_51)))),X_49) )],[refute_0_492,refute_0_507]) ).
cnf(refute_0_509,plain,
multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73))) = X_72,
inference(subst,[],[refute_0_508:[bind(X_37,$fot(X_71)),bind(X_49,$fot(X_72)),bind(X_51,$fot(X_73))]]) ).
cnf(refute_0_510,plain,
( multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73))) != X_72
| inverse(multiply(divide(X_72,multiply(X_71,X_73)),multiply(X_73,X_71))) != inverse(multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73))))
| inverse(multiply(divide(X_72,multiply(X_71,X_73)),multiply(X_73,X_71))) = inverse(X_72) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(X_72,multiply(X_71,X_73)),multiply(X_73,X_71))),inverse(multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73))))) ),[1,0],$fot(X_72)]]) ).
cnf(refute_0_511,plain,
( inverse(multiply(divide(X_72,multiply(X_71,X_73)),multiply(X_73,X_71))) != inverse(multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73))))
| inverse(multiply(divide(X_72,multiply(X_71,X_73)),multiply(X_73,X_71))) = inverse(X_72) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73))),X_72) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
inverse(multiply(divide(X_72,multiply(X_71,X_73)),multiply(X_73,X_71))) = inverse(X_72),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(X_72,multiply(X_71,X_73)),multiply(X_73,X_71))),inverse(multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73))))) )],[refute_0_396,refute_0_511]) ).
cnf(refute_0_513,plain,
divide(multiply(X_71,X_73),multiply(multiply(X_73,X_71),X_72)) = multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72))),
inference(subst,[],[refute_0_417:[bind(X_32,$fot(X_73)),bind(X_33,$fot(X_71)),bind(X_9,$fot(multiply(multiply(X_73,X_71),X_72)))]]) ).
cnf(refute_0_514,plain,
divide(inverse(X),divide(divide(divide(Y,X),divide(divide(Y,X),X_25)),Y)) = divide(divide(Y,X),X_25),
inference(subst,[],[refute_0_23:[bind(Z,$fot(divide(divide(Y,X),X_25)))]]) ).
cnf(refute_0_515,plain,
divide(divide(Y,X),divide(divide(Y,X),X_25)) = X_25,
inference(subst,[],[refute_0_279:[bind(Y,$fot(divide(Y,X))),bind(X_11,$fot(X_25))]]) ).
cnf(refute_0_516,plain,
( divide(divide(Y,X),divide(divide(Y,X),X_25)) != X_25
| divide(inverse(X),divide(divide(divide(Y,X),divide(divide(Y,X),X_25)),Y)) != divide(divide(Y,X),X_25)
| divide(inverse(X),divide(X_25,Y)) = divide(divide(Y,X),X_25) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X),divide(divide(divide(Y,X),divide(divide(Y,X),X_25)),Y)),divide(divide(Y,X),X_25)) ),[0,1,0],$fot(X_25)]]) ).
cnf(refute_0_517,plain,
( divide(inverse(X),divide(divide(divide(Y,X),divide(divide(Y,X),X_25)),Y)) != divide(divide(Y,X),X_25)
| divide(inverse(X),divide(X_25,Y)) = divide(divide(Y,X),X_25) ),
inference(resolve,[$cnf( $equal(divide(divide(Y,X),divide(divide(Y,X),X_25)),X_25) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
divide(inverse(X),divide(X_25,Y)) = divide(divide(Y,X),X_25),
inference(resolve,[$cnf( $equal(divide(inverse(X),divide(divide(divide(Y,X),divide(divide(Y,X),X_25)),Y)),divide(divide(Y,X),X_25)) )],[refute_0_514,refute_0_517]) ).
cnf(refute_0_519,plain,
divide(inverse(X),divide(X_25,Y)) = inverse(multiply(X,divide(X_25,Y))),
inference(subst,[],[refute_0_387:[bind(X_11,$fot(divide(X_25,Y))),bind(X_37,$fot(X))]]) ).
cnf(refute_0_520,plain,
( divide(inverse(X),divide(X_25,Y)) != divide(divide(Y,X),X_25)
| divide(inverse(X),divide(X_25,Y)) != inverse(multiply(X,divide(X_25,Y)))
| inverse(multiply(X,divide(X_25,Y))) = divide(divide(Y,X),X_25) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X),divide(X_25,Y)),divide(divide(Y,X),X_25)) ),[0],$fot(inverse(multiply(X,divide(X_25,Y))))]]) ).
cnf(refute_0_521,plain,
( divide(inverse(X),divide(X_25,Y)) != divide(divide(Y,X),X_25)
| inverse(multiply(X,divide(X_25,Y))) = divide(divide(Y,X),X_25) ),
inference(resolve,[$cnf( $equal(divide(inverse(X),divide(X_25,Y)),inverse(multiply(X,divide(X_25,Y)))) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
inverse(multiply(X,divide(X_25,Y))) = divide(divide(Y,X),X_25),
inference(resolve,[$cnf( $equal(divide(inverse(X),divide(X_25,Y)),divide(divide(Y,X),X_25)) )],[refute_0_518,refute_0_521]) ).
cnf(refute_0_523,plain,
divide(divide(X_69,multiply(X_70,X_68)),multiply(multiply(X_70,divide(X_68,X_69)),divide(X_69,multiply(X_70,X_68)))) = inverse(multiply(X_70,divide(X_68,X_69))),
inference(subst,[],[refute_0_323:[bind(Y,$fot(multiply(X_70,divide(X_68,X_69)))),bind(X_32,$fot(divide(X_69,multiply(X_70,X_68))))]]) ).
cnf(refute_0_524,plain,
multiply(multiply(X_48,divide(X_46,X_47)),divide(X_47,multiply(divide(X_48,identity),X_46))) = identity,
inference(subst,[],[refute_0_449:[bind(Z,$fot(identity)),bind(X_7,$fot(X_46)),bind(X_8,$fot(X_47)),bind(X_9,$fot(X_48))]]) ).
cnf(refute_0_525,plain,
multiply(X_2,identity) = X_2,
inference(subst,[],[refute_0_188:[bind(X_14,$fot(X_2))]]) ).
cnf(refute_0_526,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_527,plain,
( multiply(X_2,identity) != divide(X_2,identity)
| X_2 = divide(X_2,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),X_2) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
X_2 = divide(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,identity)) )],[refute_0_56,refute_0_527]) ).
cnf(refute_0_529,plain,
X_48 = divide(X_48,identity),
inference(subst,[],[refute_0_528:[bind(X_2,$fot(X_48))]]) ).
cnf(refute_0_530,plain,
( X_48 != divide(X_48,identity)
| divide(X_48,identity) = X_48 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_48)),bind(Y0,$fot(divide(X_48,identity)))]]) ).
cnf(refute_0_531,plain,
divide(X_48,identity) = X_48,
inference(resolve,[$cnf( $equal(X_48,divide(X_48,identity)) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
( multiply(multiply(X_48,divide(X_46,X_47)),divide(X_47,multiply(divide(X_48,identity),X_46))) != identity
| divide(X_48,identity) != X_48
| multiply(multiply(X_48,divide(X_46,X_47)),divide(X_47,multiply(X_48,X_46))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_48,divide(X_46,X_47)),divide(X_47,multiply(divide(X_48,identity),X_46))),identity) ),[0,1,1,0],$fot(X_48)]]) ).
cnf(refute_0_533,plain,
( multiply(multiply(X_48,divide(X_46,X_47)),divide(X_47,multiply(divide(X_48,identity),X_46))) != identity
| multiply(multiply(X_48,divide(X_46,X_47)),divide(X_47,multiply(X_48,X_46))) = identity ),
inference(resolve,[$cnf( $equal(divide(X_48,identity),X_48) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
multiply(multiply(X_48,divide(X_46,X_47)),divide(X_47,multiply(X_48,X_46))) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(X_48,divide(X_46,X_47)),divide(X_47,multiply(divide(X_48,identity),X_46))),identity) )],[refute_0_524,refute_0_533]) ).
cnf(refute_0_535,plain,
multiply(multiply(X_70,divide(X_68,X_69)),divide(X_69,multiply(X_70,X_68))) = identity,
inference(subst,[],[refute_0_534:[bind(X_46,$fot(X_68)),bind(X_47,$fot(X_69)),bind(X_48,$fot(X_70))]]) ).
cnf(refute_0_536,plain,
( multiply(multiply(X_70,divide(X_68,X_69)),divide(X_69,multiply(X_70,X_68))) != identity
| divide(divide(X_69,multiply(X_70,X_68)),multiply(multiply(X_70,divide(X_68,X_69)),divide(X_69,multiply(X_70,X_68)))) != inverse(multiply(X_70,divide(X_68,X_69)))
| divide(divide(X_69,multiply(X_70,X_68)),identity) = inverse(multiply(X_70,divide(X_68,X_69))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_69,multiply(X_70,X_68)),multiply(multiply(X_70,divide(X_68,X_69)),divide(X_69,multiply(X_70,X_68)))),inverse(multiply(X_70,divide(X_68,X_69)))) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_537,plain,
( divide(divide(X_69,multiply(X_70,X_68)),multiply(multiply(X_70,divide(X_68,X_69)),divide(X_69,multiply(X_70,X_68)))) != inverse(multiply(X_70,divide(X_68,X_69)))
| divide(divide(X_69,multiply(X_70,X_68)),identity) = inverse(multiply(X_70,divide(X_68,X_69))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_70,divide(X_68,X_69)),divide(X_69,multiply(X_70,X_68))),identity) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
divide(divide(X_69,multiply(X_70,X_68)),identity) = inverse(multiply(X_70,divide(X_68,X_69))),
inference(resolve,[$cnf( $equal(divide(divide(X_69,multiply(X_70,X_68)),multiply(multiply(X_70,divide(X_68,X_69)),divide(X_69,multiply(X_70,X_68)))),inverse(multiply(X_70,divide(X_68,X_69)))) )],[refute_0_523,refute_0_537]) ).
cnf(refute_0_539,plain,
( X_2 != divide(X_2,identity)
| divide(X_2,identity) = X_2 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_2)),bind(Y0,$fot(divide(X_2,identity)))]]) ).
cnf(refute_0_540,plain,
divide(X_2,identity) = X_2,
inference(resolve,[$cnf( $equal(X_2,divide(X_2,identity)) )],[refute_0_528,refute_0_539]) ).
cnf(refute_0_541,plain,
divide(X_69,identity) = X_69,
inference(subst,[],[refute_0_540:[bind(X_2,$fot(X_69))]]) ).
cnf(refute_0_542,plain,
divide(divide(X_69,identity),multiply(X_70,X_68)) = divide(divide(X_69,identity),multiply(X_70,X_68)),
introduced(tautology,[refl,[$fot(divide(divide(X_69,identity),multiply(X_70,X_68)))]]) ).
cnf(refute_0_543,plain,
( divide(X_69,identity) != X_69
| divide(divide(X_69,identity),multiply(X_70,X_68)) != divide(divide(X_69,identity),multiply(X_70,X_68))
| divide(divide(X_69,identity),multiply(X_70,X_68)) = divide(X_69,multiply(X_70,X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_69,identity),multiply(X_70,X_68)),divide(divide(X_69,identity),multiply(X_70,X_68))) ),[1,0],$fot(X_69)]]) ).
cnf(refute_0_544,plain,
( divide(X_69,identity) != X_69
| divide(divide(X_69,identity),multiply(X_70,X_68)) = divide(X_69,multiply(X_70,X_68)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_69,identity),multiply(X_70,X_68)),divide(divide(X_69,identity),multiply(X_70,X_68))) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
divide(divide(X_69,identity),multiply(X_70,X_68)) = divide(X_69,multiply(X_70,X_68)),
inference(resolve,[$cnf( $equal(divide(X_69,identity),X_69) )],[refute_0_541,refute_0_544]) ).
cnf(refute_0_546,plain,
inverse(multiply(X_37,divide(X_67,X_66))) = divide(inverse(X_37),divide(X_67,X_66)),
inference(subst,[],[refute_0_349:[bind(X_11,$fot(divide(X_67,X_66)))]]) ).
cnf(refute_0_547,plain,
multiply(inverse(X_37),divide(X_66,X_67)) = divide(inverse(X_37),divide(X_67,X_66)),
inference(subst,[],[refute_0_343:[bind(X,$fot(inverse(X_37))),bind(X_39,$fot(X_66)),bind(X_40,$fot(X_67))]]) ).
cnf(refute_0_548,plain,
( multiply(inverse(X_37),divide(X_66,X_67)) != divide(inverse(X_37),divide(X_67,X_66))
| divide(inverse(X_37),divide(X_67,X_66)) = multiply(inverse(X_37),divide(X_66,X_67)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_37),divide(X_66,X_67)))),bind(Y0,$fot(divide(inverse(X_37),divide(X_67,X_66))))]]) ).
cnf(refute_0_549,plain,
divide(inverse(X_37),divide(X_67,X_66)) = multiply(inverse(X_37),divide(X_66,X_67)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_37),divide(X_66,X_67)),divide(inverse(X_37),divide(X_67,X_66))) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
( divide(inverse(X_37),divide(X_67,X_66)) != multiply(inverse(X_37),divide(X_66,X_67))
| inverse(multiply(X_37,divide(X_67,X_66))) != divide(inverse(X_37),divide(X_67,X_66))
| inverse(multiply(X_37,divide(X_67,X_66))) = multiply(inverse(X_37),divide(X_66,X_67)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_37,divide(X_67,X_66))),divide(inverse(X_37),divide(X_67,X_66))) ),[1],$fot(multiply(inverse(X_37),divide(X_66,X_67)))]]) ).
cnf(refute_0_551,plain,
( inverse(multiply(X_37,divide(X_67,X_66))) != divide(inverse(X_37),divide(X_67,X_66))
| inverse(multiply(X_37,divide(X_67,X_66))) = multiply(inverse(X_37),divide(X_66,X_67)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_37),divide(X_67,X_66)),multiply(inverse(X_37),divide(X_66,X_67))) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
inverse(multiply(X_37,divide(X_67,X_66))) = multiply(inverse(X_37),divide(X_66,X_67)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_37,divide(X_67,X_66))),divide(inverse(X_37),divide(X_67,X_66))) )],[refute_0_546,refute_0_551]) ).
cnf(refute_0_553,plain,
inverse(multiply(X_37,divide(X_67,X_66))) = divide(divide(X_66,X_37),X_67),
inference(subst,[],[refute_0_522:[bind(X,$fot(X_37)),bind(Y,$fot(X_66)),bind(X_25,$fot(X_67))]]) ).
cnf(refute_0_554,plain,
( inverse(multiply(X_37,divide(X_67,X_66))) != multiply(inverse(X_37),divide(X_66,X_67))
| inverse(multiply(X_37,divide(X_67,X_66))) != divide(divide(X_66,X_37),X_67)
| divide(divide(X_66,X_37),X_67) = multiply(inverse(X_37),divide(X_66,X_67)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_37,divide(X_67,X_66))),multiply(inverse(X_37),divide(X_66,X_67))) ),[0],$fot(divide(divide(X_66,X_37),X_67))]]) ).
cnf(refute_0_555,plain,
( inverse(multiply(X_37,divide(X_67,X_66))) != multiply(inverse(X_37),divide(X_66,X_67))
| divide(divide(X_66,X_37),X_67) = multiply(inverse(X_37),divide(X_66,X_67)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_37,divide(X_67,X_66))),divide(divide(X_66,X_37),X_67)) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
multiply(inverse(X_37),divide(X_66,X_67)) = divide(divide(X_66,X_67),X_37),
inference(subst,[],[refute_0_87:[bind(X_7,$fot(X_37)),bind(X_8,$fot(divide(X_66,X_67)))]]) ).
cnf(refute_0_557,plain,
( multiply(inverse(X_37),divide(X_66,X_67)) != divide(divide(X_66,X_67),X_37)
| divide(divide(X_66,X_37),X_67) != multiply(inverse(X_37),divide(X_66,X_67))
| divide(divide(X_66,X_37),X_67) = divide(divide(X_66,X_67),X_37) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_66,X_37),X_67),multiply(inverse(X_37),divide(X_66,X_67))) ),[1],$fot(divide(divide(X_66,X_67),X_37))]]) ).
cnf(refute_0_558,plain,
( divide(divide(X_66,X_37),X_67) != multiply(inverse(X_37),divide(X_66,X_67))
| divide(divide(X_66,X_37),X_67) = divide(divide(X_66,X_67),X_37) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_37),divide(X_66,X_67)),divide(divide(X_66,X_67),X_37)) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
( inverse(multiply(X_37,divide(X_67,X_66))) != multiply(inverse(X_37),divide(X_66,X_67))
| divide(divide(X_66,X_37),X_67) = divide(divide(X_66,X_67),X_37) ),
inference(resolve,[$cnf( $equal(divide(divide(X_66,X_37),X_67),multiply(inverse(X_37),divide(X_66,X_67))) )],[refute_0_555,refute_0_558]) ).
cnf(refute_0_560,plain,
divide(divide(X_66,X_37),X_67) = divide(divide(X_66,X_67),X_37),
inference(resolve,[$cnf( $equal(inverse(multiply(X_37,divide(X_67,X_66))),multiply(inverse(X_37),divide(X_66,X_67))) )],[refute_0_552,refute_0_559]) ).
cnf(refute_0_561,plain,
( divide(divide(X_66,X_37),X_67) != divide(divide(X_66,X_67),X_37)
| divide(divide(X_66,X_67),X_37) = divide(divide(X_66,X_37),X_67) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(divide(divide(X_66,X_37),X_67))),bind(Y0,$fot(divide(divide(X_66,X_67),X_37)))]]) ).
cnf(refute_0_562,plain,
divide(divide(X_66,X_67),X_37) = divide(divide(X_66,X_37),X_67),
inference(resolve,[$cnf( $equal(divide(divide(X_66,X_37),X_67),divide(divide(X_66,X_67),X_37)) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
divide(divide(X_69,multiply(X_70,X_68)),identity) = divide(divide(X_69,identity),multiply(X_70,X_68)),
inference(subst,[],[refute_0_562:[bind(X_37,$fot(identity)),bind(X_66,$fot(X_69)),bind(X_67,$fot(multiply(X_70,X_68)))]]) ).
cnf(refute_0_564,plain,
( divide(divide(X_69,multiply(X_70,X_68)),identity) != divide(divide(X_69,identity),multiply(X_70,X_68))
| divide(divide(X_69,identity),multiply(X_70,X_68)) != divide(X_69,multiply(X_70,X_68))
| divide(divide(X_69,multiply(X_70,X_68)),identity) = divide(X_69,multiply(X_70,X_68)) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(divide(divide(X_69,multiply(X_70,X_68)),identity))),bind(Y0,$fot(divide(divide(X_69,identity),multiply(X_70,X_68)))),bind(Z0,$fot(divide(X_69,multiply(X_70,X_68))))]]) ).
cnf(refute_0_565,plain,
( divide(divide(X_69,identity),multiply(X_70,X_68)) != divide(X_69,multiply(X_70,X_68))
| divide(divide(X_69,multiply(X_70,X_68)),identity) = divide(X_69,multiply(X_70,X_68)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_69,multiply(X_70,X_68)),identity),divide(divide(X_69,identity),multiply(X_70,X_68))) )],[refute_0_563,refute_0_564]) ).
cnf(refute_0_566,plain,
divide(divide(X_69,multiply(X_70,X_68)),identity) = divide(X_69,multiply(X_70,X_68)),
inference(resolve,[$cnf( $equal(divide(divide(X_69,identity),multiply(X_70,X_68)),divide(X_69,multiply(X_70,X_68))) )],[refute_0_545,refute_0_565]) ).
cnf(refute_0_567,plain,
( divide(divide(X_69,multiply(X_70,X_68)),identity) != divide(X_69,multiply(X_70,X_68))
| divide(divide(X_69,multiply(X_70,X_68)),identity) != inverse(multiply(X_70,divide(X_68,X_69)))
| divide(X_69,multiply(X_70,X_68)) = inverse(multiply(X_70,divide(X_68,X_69))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_69,multiply(X_70,X_68)),identity),inverse(multiply(X_70,divide(X_68,X_69)))) ),[0],$fot(divide(X_69,multiply(X_70,X_68)))]]) ).
cnf(refute_0_568,plain,
( divide(divide(X_69,multiply(X_70,X_68)),identity) != inverse(multiply(X_70,divide(X_68,X_69)))
| divide(X_69,multiply(X_70,X_68)) = inverse(multiply(X_70,divide(X_68,X_69))) ),
inference(resolve,[$cnf( $equal(divide(divide(X_69,multiply(X_70,X_68)),identity),divide(X_69,multiply(X_70,X_68))) )],[refute_0_566,refute_0_567]) ).
cnf(refute_0_569,plain,
inverse(multiply(X_70,divide(X_68,X_69))) = divide(divide(X_69,X_70),X_68),
inference(subst,[],[refute_0_522:[bind(X,$fot(X_70)),bind(Y,$fot(X_69)),bind(X_25,$fot(X_68))]]) ).
cnf(refute_0_570,plain,
( divide(X_69,multiply(X_70,X_68)) != inverse(multiply(X_70,divide(X_68,X_69)))
| inverse(multiply(X_70,divide(X_68,X_69))) != divide(divide(X_69,X_70),X_68)
| divide(X_69,multiply(X_70,X_68)) = divide(divide(X_69,X_70),X_68) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_69,multiply(X_70,X_68)),divide(divide(X_69,X_70),X_68)) ),[0],$fot(inverse(multiply(X_70,divide(X_68,X_69))))]]) ).
cnf(refute_0_571,plain,
( divide(X_69,multiply(X_70,X_68)) != inverse(multiply(X_70,divide(X_68,X_69)))
| divide(X_69,multiply(X_70,X_68)) = divide(divide(X_69,X_70),X_68) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_70,divide(X_68,X_69))),divide(divide(X_69,X_70),X_68)) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
( divide(divide(X_69,multiply(X_70,X_68)),identity) != inverse(multiply(X_70,divide(X_68,X_69)))
| divide(X_69,multiply(X_70,X_68)) = divide(divide(X_69,X_70),X_68) ),
inference(resolve,[$cnf( $equal(divide(X_69,multiply(X_70,X_68)),inverse(multiply(X_70,divide(X_68,X_69)))) )],[refute_0_568,refute_0_571]) ).
cnf(refute_0_573,plain,
divide(X_69,multiply(X_70,X_68)) = divide(divide(X_69,X_70),X_68),
inference(resolve,[$cnf( $equal(divide(divide(X_69,multiply(X_70,X_68)),identity),inverse(multiply(X_70,divide(X_68,X_69)))) )],[refute_0_538,refute_0_572]) ).
cnf(refute_0_574,plain,
( divide(X_69,multiply(X_70,X_68)) != divide(divide(X_69,X_70),X_68)
| divide(divide(X_69,X_70),X_68) = divide(X_69,multiply(X_70,X_68)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(divide(X_69,multiply(X_70,X_68)))),bind(Y0,$fot(divide(divide(X_69,X_70),X_68)))]]) ).
cnf(refute_0_575,plain,
divide(divide(X_69,X_70),X_68) = divide(X_69,multiply(X_70,X_68)),
inference(resolve,[$cnf( $equal(divide(X_69,multiply(X_70,X_68)),divide(divide(X_69,X_70),X_68)) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
divide(divide(Y,X),X_25) = divide(Y,multiply(X,X_25)),
inference(subst,[],[refute_0_575:[bind(X_68,$fot(X_25)),bind(X_69,$fot(Y)),bind(X_70,$fot(X))]]) ).
cnf(refute_0_577,plain,
( divide(divide(Y,X),X_25) != divide(Y,multiply(X,X_25))
| inverse(multiply(X,divide(X_25,Y))) != divide(divide(Y,X),X_25)
| inverse(multiply(X,divide(X_25,Y))) = divide(Y,multiply(X,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X,divide(X_25,Y))),divide(divide(Y,X),X_25)) ),[1],$fot(divide(Y,multiply(X,X_25)))]]) ).
cnf(refute_0_578,plain,
( inverse(multiply(X,divide(X_25,Y))) != divide(divide(Y,X),X_25)
| inverse(multiply(X,divide(X_25,Y))) = divide(Y,multiply(X,X_25)) ),
inference(resolve,[$cnf( $equal(divide(divide(Y,X),X_25),divide(Y,multiply(X,X_25))) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
inverse(multiply(X,divide(X_25,Y))) = divide(Y,multiply(X,X_25)),
inference(resolve,[$cnf( $equal(inverse(multiply(X,divide(X_25,Y))),divide(divide(Y,X),X_25)) )],[refute_0_522,refute_0_578]) ).
cnf(refute_0_580,plain,
inverse(multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73)))) = divide(multiply(X_71,X_73),multiply(multiply(X_73,X_71),X_72)),
inference(subst,[],[refute_0_579:[bind(X,$fot(multiply(X_73,X_71))),bind(Y,$fot(multiply(X_71,X_73))),bind(X_25,$fot(X_72))]]) ).
cnf(refute_0_581,plain,
( divide(multiply(X_71,X_73),multiply(multiply(X_73,X_71),X_72)) != multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72)))
| inverse(multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73)))) != divide(multiply(X_71,X_73),multiply(multiply(X_73,X_71),X_72))
| inverse(multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73)))) = multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72))) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(inverse(multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73)))))),bind(Y0,$fot(divide(multiply(X_71,X_73),multiply(multiply(X_73,X_71),X_72)))),bind(Z0,$fot(multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72)))))]]) ).
cnf(refute_0_582,plain,
( divide(multiply(X_71,X_73),multiply(multiply(X_73,X_71),X_72)) != multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72)))
| inverse(multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73)))) = multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73)))),divide(multiply(X_71,X_73),multiply(multiply(X_73,X_71),X_72))) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
inverse(multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73)))) = multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72))),
inference(resolve,[$cnf( $equal(divide(multiply(X_71,X_73),multiply(multiply(X_73,X_71),X_72)),multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72)))) )],[refute_0_513,refute_0_582]) ).
cnf(refute_0_584,plain,
( inverse(multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73)))) != multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72)))
| inverse(multiply(divide(X_72,multiply(X_71,X_73)),multiply(X_73,X_71))) != inverse(multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73))))
| inverse(multiply(divide(X_72,multiply(X_71,X_73)),multiply(X_73,X_71))) = multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72))) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(inverse(multiply(divide(X_72,multiply(X_71,X_73)),multiply(X_73,X_71))))),bind(Y0,$fot(inverse(multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73)))))),bind(Z0,$fot(multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72)))))]]) ).
cnf(refute_0_585,plain,
( inverse(multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73)))) != multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72)))
| inverse(multiply(divide(X_72,multiply(X_71,X_73)),multiply(X_73,X_71))) = multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(X_72,multiply(X_71,X_73)),multiply(X_73,X_71))),inverse(multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73))))) )],[refute_0_396,refute_0_584]) ).
cnf(refute_0_586,plain,
inverse(multiply(divide(X_72,multiply(X_71,X_73)),multiply(X_73,X_71))) = multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_73,X_71),divide(X_72,multiply(X_71,X_73)))),multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72)))) )],[refute_0_583,refute_0_585]) ).
cnf(refute_0_587,plain,
( inverse(multiply(divide(X_72,multiply(X_71,X_73)),multiply(X_73,X_71))) != multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72)))
| inverse(multiply(divide(X_72,multiply(X_71,X_73)),multiply(X_73,X_71))) != inverse(X_72)
| multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72))) = inverse(X_72) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(X_72,multiply(X_71,X_73)),multiply(X_73,X_71))),inverse(X_72)) ),[0],$fot(multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72))))]]) ).
cnf(refute_0_588,plain,
( inverse(multiply(divide(X_72,multiply(X_71,X_73)),multiply(X_73,X_71))) != inverse(X_72)
| multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72))) = inverse(X_72) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(X_72,multiply(X_71,X_73)),multiply(X_73,X_71))),multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72)))) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),X_72))) = inverse(X_72),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(X_72,multiply(X_71,X_73)),multiply(X_73,X_71))),inverse(X_72)) )],[refute_0_512,refute_0_588]) ).
cnf(refute_0_590,plain,
multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))))) = inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))),
inference(subst,[],[refute_0_589:[bind(X_72,$fot(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))))]]) ).
cnf(refute_0_591,plain,
multiply(multiply(X_73,X_71),divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))) = inverse(X_75),
inference(subst,[],[refute_0_589:[bind(X_71,$fot(X_74)),bind(X_72,$fot(X_75)),bind(X_73,$fot(multiply(X_73,X_71)))]]) ).
cnf(refute_0_592,plain,
( multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))))) != inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75)))
| multiply(multiply(X_73,X_71),divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))) != inverse(X_75)
| multiply(X_73,divide(X_71,inverse(X_75))) = inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))))),inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75)))) ),[0,1,1],$fot(inverse(X_75))]]) ).
cnf(refute_0_593,plain,
( multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))))) != inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75)))
| multiply(X_73,divide(X_71,inverse(X_75))) = inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_73,X_71),divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))),inverse(X_75)) )],[refute_0_591,refute_0_592]) ).
cnf(refute_0_594,plain,
multiply(X_73,divide(X_71,inverse(X_75))) = inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))),
inference(resolve,[$cnf( $equal(multiply(X_73,divide(X_71,multiply(multiply(X_73,X_71),divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))))),inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75)))) )],[refute_0_590,refute_0_593]) ).
cnf(refute_0_595,plain,
divide(X_71,inverse(X_75)) = multiply(X_71,X_75),
inference(subst,[],[refute_0_73:[bind(X,$fot(X_71)),bind(Y,$fot(X_75))]]) ).
cnf(refute_0_596,plain,
multiply(X_73,divide(X_71,inverse(X_75))) = multiply(X_73,divide(X_71,inverse(X_75))),
introduced(tautology,[refl,[$fot(multiply(X_73,divide(X_71,inverse(X_75))))]]) ).
cnf(refute_0_597,plain,
( multiply(X_73,divide(X_71,inverse(X_75))) != multiply(X_73,divide(X_71,inverse(X_75)))
| divide(X_71,inverse(X_75)) != multiply(X_71,X_75)
| multiply(X_73,divide(X_71,inverse(X_75))) = multiply(X_73,multiply(X_71,X_75)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_73,divide(X_71,inverse(X_75))),multiply(X_73,divide(X_71,inverse(X_75)))) ),[1,1],$fot(multiply(X_71,X_75))]]) ).
cnf(refute_0_598,plain,
( divide(X_71,inverse(X_75)) != multiply(X_71,X_75)
| multiply(X_73,divide(X_71,inverse(X_75))) = multiply(X_73,multiply(X_71,X_75)) ),
inference(resolve,[$cnf( $equal(multiply(X_73,divide(X_71,inverse(X_75))),multiply(X_73,divide(X_71,inverse(X_75)))) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
multiply(X_73,divide(X_71,inverse(X_75))) = multiply(X_73,multiply(X_71,X_75)),
inference(resolve,[$cnf( $equal(divide(X_71,inverse(X_75)),multiply(X_71,X_75)) )],[refute_0_595,refute_0_598]) ).
cnf(refute_0_600,plain,
( multiply(X_73,divide(X_71,inverse(X_75))) != multiply(X_73,multiply(X_71,X_75))
| multiply(X_73,divide(X_71,inverse(X_75))) != inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75)))
| multiply(X_73,multiply(X_71,X_75)) = inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_73,divide(X_71,inverse(X_75))),inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75)))) ),[0],$fot(multiply(X_73,multiply(X_71,X_75)))]]) ).
cnf(refute_0_601,plain,
( multiply(X_73,divide(X_71,inverse(X_75))) != inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75)))
| multiply(X_73,multiply(X_71,X_75)) = inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))) ),
inference(resolve,[$cnf( $equal(multiply(X_73,divide(X_71,inverse(X_75))),multiply(X_73,multiply(X_71,X_75))) )],[refute_0_599,refute_0_600]) ).
cnf(refute_0_602,plain,
divide(inverse(X_7),divide(divide(divide(identity,X_7),X_9),identity)) = X_9,
inference(subst,[],[refute_0_23:[bind(X,$fot(X_7)),bind(Y,$fot(identity)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_603,plain,
inverse(X_7) = divide(identity,X_7),
inference(subst,[],[inverse:[bind(X,$fot(X_7))]]) ).
cnf(refute_0_604,plain,
( inverse(X_7) != divide(identity,X_7)
| divide(identity,X_7) = inverse(X_7) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_7))),bind(Y0,$fot(divide(identity,X_7)))]]) ).
cnf(refute_0_605,plain,
divide(identity,X_7) = inverse(X_7),
inference(resolve,[$cnf( $equal(inverse(X_7),divide(identity,X_7)) )],[refute_0_603,refute_0_604]) ).
cnf(refute_0_606,plain,
( divide(identity,X_7) != inverse(X_7)
| divide(inverse(X_7),divide(divide(divide(identity,X_7),X_9),identity)) != X_9
| divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),divide(divide(divide(identity,X_7),X_9),identity)),X_9) ),[0,1,0,0],$fot(inverse(X_7))]]) ).
cnf(refute_0_607,plain,
( divide(inverse(X_7),divide(divide(divide(identity,X_7),X_9),identity)) != X_9
| divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(identity,X_7),inverse(X_7)) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(divide(divide(identity,X_7),X_9),identity)),X_9) )],[refute_0_602,refute_0_607]) ).
cnf(refute_0_609,plain,
( multiply(X_2,identity) != divide(X_2,identity)
| divide(X_2,identity) = multiply(X_2,identity) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_2,identity))),bind(Y0,$fot(divide(X_2,identity)))]]) ).
cnf(refute_0_610,plain,
divide(X_2,identity) = multiply(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,identity)) )],[refute_0_56,refute_0_609]) ).
cnf(refute_0_611,plain,
divide(divide(inverse(X_7),X_9),identity) = multiply(divide(inverse(X_7),X_9),identity),
inference(subst,[],[refute_0_610:[bind(X_2,$fot(divide(inverse(X_7),X_9)))]]) ).
cnf(refute_0_612,plain,
divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) = divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)),
introduced(tautology,[refl,[$fot(divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)))]]) ).
cnf(refute_0_613,plain,
( divide(divide(inverse(X_7),X_9),identity) != multiply(divide(inverse(X_7),X_9),identity)
| divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) != divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity))
| divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) = divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)),divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity))) ),[1,1],$fot(multiply(divide(inverse(X_7),X_9),identity))]]) ).
cnf(refute_0_614,plain,
( divide(divide(inverse(X_7),X_9),identity) != multiply(divide(inverse(X_7),X_9),identity)
| divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) = divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)),divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity))) )],[refute_0_612,refute_0_613]) ).
cnf(refute_0_615,plain,
divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) = divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_7),X_9),identity),multiply(divide(inverse(X_7),X_9),identity)) )],[refute_0_611,refute_0_614]) ).
cnf(refute_0_616,plain,
( divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) != X_9
| divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) != divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity))
| divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)),X_9) ),[0],$fot(divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)))]]) ).
cnf(refute_0_617,plain,
( divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) != X_9
| divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)),divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity))) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)),X_9) )],[refute_0_608,refute_0_617]) ).
cnf(refute_0_619,plain,
multiply(divide(X_9,X_7),X_7) = multiply(X_7,divide(X_9,X_7)),
inference(subst,[],[refute_0_126:[bind(X_11,$fot(X_7)),bind(X_19,$fot(divide(X_9,X_7)))]]) ).
cnf(refute_0_620,plain,
divide(divide(X_9,X_7),inverse(X_7)) = multiply(divide(X_9,X_7),X_7),
inference(subst,[],[refute_0_73:[bind(X,$fot(divide(X_9,X_7))),bind(Y,$fot(X_7))]]) ).
cnf(refute_0_621,plain,
( multiply(divide(X_9,X_7),X_7) != multiply(X_7,divide(X_9,X_7))
| divide(divide(X_9,X_7),inverse(X_7)) != multiply(divide(X_9,X_7),X_7)
| divide(divide(X_9,X_7),inverse(X_7)) = multiply(X_7,divide(X_9,X_7)) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(divide(divide(X_9,X_7),inverse(X_7)))),bind(Y0,$fot(multiply(divide(X_9,X_7),X_7))),bind(Z0,$fot(multiply(X_7,divide(X_9,X_7))))]]) ).
cnf(refute_0_622,plain,
( multiply(divide(X_9,X_7),X_7) != multiply(X_7,divide(X_9,X_7))
| divide(divide(X_9,X_7),inverse(X_7)) = multiply(X_7,divide(X_9,X_7)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_9,X_7),inverse(X_7)),multiply(divide(X_9,X_7),X_7)) )],[refute_0_620,refute_0_621]) ).
cnf(refute_0_623,plain,
divide(divide(X_9,X_7),inverse(X_7)) = multiply(X_7,divide(X_9,X_7)),
inference(resolve,[$cnf( $equal(multiply(divide(X_9,X_7),X_7),multiply(X_7,divide(X_9,X_7))) )],[refute_0_619,refute_0_622]) ).
cnf(refute_0_624,plain,
divide(inverse(X_7),divide(inverse(X_7),X_9)) = divide(divide(X_9,X_7),inverse(X_7)),
inference(subst,[],[refute_0_518:[bind(X,$fot(X_7)),bind(Y,$fot(X_9)),bind(X_25,$fot(inverse(X_7)))]]) ).
cnf(refute_0_625,plain,
( divide(divide(X_9,X_7),inverse(X_7)) != multiply(X_7,divide(X_9,X_7))
| divide(inverse(X_7),divide(inverse(X_7),X_9)) != divide(divide(X_9,X_7),inverse(X_7))
| divide(inverse(X_7),divide(inverse(X_7),X_9)) = multiply(X_7,divide(X_9,X_7)) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(divide(inverse(X_7),divide(inverse(X_7),X_9)))),bind(Y0,$fot(divide(divide(X_9,X_7),inverse(X_7)))),bind(Z0,$fot(multiply(X_7,divide(X_9,X_7))))]]) ).
cnf(refute_0_626,plain,
( divide(divide(X_9,X_7),inverse(X_7)) != multiply(X_7,divide(X_9,X_7))
| divide(inverse(X_7),divide(inverse(X_7),X_9)) = multiply(X_7,divide(X_9,X_7)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(inverse(X_7),X_9)),divide(divide(X_9,X_7),inverse(X_7))) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
divide(inverse(X_7),divide(inverse(X_7),X_9)) = multiply(X_7,divide(X_9,X_7)),
inference(resolve,[$cnf( $equal(divide(divide(X_9,X_7),inverse(X_7)),multiply(X_7,divide(X_9,X_7))) )],[refute_0_623,refute_0_626]) ).
cnf(refute_0_628,plain,
multiply(identity,divide(inverse(X_7),X_9)) = divide(inverse(X_7),X_9),
inference(subst,[],[refute_0_470:[bind(X_3,$fot(divide(inverse(X_7),X_9)))]]) ).
cnf(refute_0_629,plain,
multiply(divide(inverse(X_7),X_9),identity) = multiply(identity,divide(inverse(X_7),X_9)),
inference(subst,[],[refute_0_126:[bind(X_11,$fot(identity)),bind(X_19,$fot(divide(inverse(X_7),X_9)))]]) ).
cnf(refute_0_630,plain,
( multiply(divide(inverse(X_7),X_9),identity) != multiply(identity,divide(inverse(X_7),X_9))
| multiply(identity,divide(inverse(X_7),X_9)) != divide(inverse(X_7),X_9)
| multiply(divide(inverse(X_7),X_9),identity) = divide(inverse(X_7),X_9) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(multiply(divide(inverse(X_7),X_9),identity))),bind(Y0,$fot(multiply(identity,divide(inverse(X_7),X_9)))),bind(Z0,$fot(divide(inverse(X_7),X_9)))]]) ).
cnf(refute_0_631,plain,
( multiply(identity,divide(inverse(X_7),X_9)) != divide(inverse(X_7),X_9)
| multiply(divide(inverse(X_7),X_9),identity) = divide(inverse(X_7),X_9) ),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(X_7),X_9),identity),multiply(identity,divide(inverse(X_7),X_9))) )],[refute_0_629,refute_0_630]) ).
cnf(refute_0_632,plain,
multiply(divide(inverse(X_7),X_9),identity) = divide(inverse(X_7),X_9),
inference(resolve,[$cnf( $equal(multiply(identity,divide(inverse(X_7),X_9)),divide(inverse(X_7),X_9)) )],[refute_0_628,refute_0_631]) ).
cnf(refute_0_633,plain,
divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) = divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)),
introduced(tautology,[refl,[$fot(divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)))]]) ).
cnf(refute_0_634,plain,
( multiply(divide(inverse(X_7),X_9),identity) != divide(inverse(X_7),X_9)
| divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) != divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity))
| divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) = divide(inverse(X_7),divide(inverse(X_7),X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)),divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity))) ),[1,1],$fot(divide(inverse(X_7),X_9))]]) ).
cnf(refute_0_635,plain,
( multiply(divide(inverse(X_7),X_9),identity) != divide(inverse(X_7),X_9)
| divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) = divide(inverse(X_7),divide(inverse(X_7),X_9)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)),divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity))) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) = divide(inverse(X_7),divide(inverse(X_7),X_9)),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(X_7),X_9),identity),divide(inverse(X_7),X_9)) )],[refute_0_632,refute_0_635]) ).
cnf(refute_0_637,plain,
( divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) != divide(inverse(X_7),divide(inverse(X_7),X_9))
| divide(inverse(X_7),divide(inverse(X_7),X_9)) != multiply(X_7,divide(X_9,X_7))
| divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) = multiply(X_7,divide(X_9,X_7)) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)))),bind(Y0,$fot(divide(inverse(X_7),divide(inverse(X_7),X_9)))),bind(Z0,$fot(multiply(X_7,divide(X_9,X_7))))]]) ).
cnf(refute_0_638,plain,
( divide(inverse(X_7),divide(inverse(X_7),X_9)) != multiply(X_7,divide(X_9,X_7))
| divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) = multiply(X_7,divide(X_9,X_7)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)),divide(inverse(X_7),divide(inverse(X_7),X_9))) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) = multiply(X_7,divide(X_9,X_7)),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(inverse(X_7),X_9)),multiply(X_7,divide(X_9,X_7))) )],[refute_0_627,refute_0_638]) ).
cnf(refute_0_640,plain,
( divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) != X_9
| divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) != multiply(X_7,divide(X_9,X_7))
| multiply(X_7,divide(X_9,X_7)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)),X_9) ),[0],$fot(multiply(X_7,divide(X_9,X_7)))]]) ).
cnf(refute_0_641,plain,
( divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) != X_9
| multiply(X_7,divide(X_9,X_7)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)),multiply(X_7,divide(X_9,X_7))) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
multiply(X_7,divide(X_9,X_7)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)),X_9) )],[refute_0_618,refute_0_641]) ).
cnf(refute_0_643,plain,
multiply(X_74,divide(multiply(X_73,X_71),X_74)) = multiply(X_73,X_71),
inference(subst,[],[refute_0_642:[bind(X_7,$fot(X_74)),bind(X_9,$fot(multiply(X_73,X_71)))]]) ).
cnf(refute_0_644,plain,
divide(multiply(multiply(X_73,X_71),X_74),X_74) = multiply(X_74,divide(multiply(X_73,X_71),X_74)),
inference(subst,[],[refute_0_417:[bind(X_32,$fot(X_74)),bind(X_33,$fot(multiply(X_73,X_71))),bind(X_9,$fot(X_74))]]) ).
cnf(refute_0_645,plain,
( multiply(X_74,divide(multiply(X_73,X_71),X_74)) != multiply(X_73,X_71)
| divide(multiply(multiply(X_73,X_71),X_74),X_74) != multiply(X_74,divide(multiply(X_73,X_71),X_74))
| divide(multiply(multiply(X_73,X_71),X_74),X_74) = multiply(X_73,X_71) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(divide(multiply(multiply(X_73,X_71),X_74),X_74))),bind(Y0,$fot(multiply(X_74,divide(multiply(X_73,X_71),X_74)))),bind(Z0,$fot(multiply(X_73,X_71)))]]) ).
cnf(refute_0_646,plain,
( multiply(X_74,divide(multiply(X_73,X_71),X_74)) != multiply(X_73,X_71)
| divide(multiply(multiply(X_73,X_71),X_74),X_74) = multiply(X_73,X_71) ),
inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_73,X_71),X_74),X_74),multiply(X_74,divide(multiply(X_73,X_71),X_74))) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
divide(multiply(multiply(X_73,X_71),X_74),X_74) = multiply(X_73,X_71),
inference(resolve,[$cnf( $equal(multiply(X_74,divide(multiply(X_73,X_71),X_74)),multiply(X_73,X_71)) )],[refute_0_643,refute_0_646]) ).
cnf(refute_0_648,plain,
multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74)) = multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74)),
introduced(tautology,[refl,[$fot(multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74)))]]) ).
cnf(refute_0_649,plain,
( multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74)) != multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74))
| divide(multiply(multiply(X_73,X_71),X_74),X_74) != multiply(X_73,X_71)
| multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74)) = multiply(X_75,multiply(X_73,X_71)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74)),multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74))) ),[1,1],$fot(multiply(X_73,X_71))]]) ).
cnf(refute_0_650,plain,
( divide(multiply(multiply(X_73,X_71),X_74),X_74) != multiply(X_73,X_71)
| multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74)) = multiply(X_75,multiply(X_73,X_71)) ),
inference(resolve,[$cnf( $equal(multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74)),multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74))) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74)) = multiply(X_75,multiply(X_73,X_71)),
inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_73,X_71),X_74),X_74),multiply(X_73,X_71)) )],[refute_0_647,refute_0_650]) ).
cnf(refute_0_652,plain,
divide(multiply(multiply(multiply(X_73,X_71),X_74),X_75),X_74) = multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74)),
inference(subst,[],[refute_0_417:[bind(X_32,$fot(X_75)),bind(X_33,$fot(multiply(multiply(X_73,X_71),X_74))),bind(X_9,$fot(X_74))]]) ).
cnf(refute_0_653,plain,
inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))) = divide(multiply(multiply(multiply(X_73,X_71),X_74),X_75),X_74),
inference(subst,[],[refute_0_339:[bind(Y,$fot(multiply(multiply(multiply(X_73,X_71),X_74),X_75))),bind(X_37,$fot(X_74))]]) ).
cnf(refute_0_654,plain,
( divide(multiply(multiply(multiply(X_73,X_71),X_74),X_75),X_74) != multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74))
| inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))) != divide(multiply(multiply(multiply(X_73,X_71),X_74),X_75),X_74)
| inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))) = multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74)) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))))),bind(Y0,$fot(divide(multiply(multiply(multiply(X_73,X_71),X_74),X_75),X_74))),bind(Z0,$fot(multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74))))]]) ).
cnf(refute_0_655,plain,
( divide(multiply(multiply(multiply(X_73,X_71),X_74),X_75),X_74) != multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74))
| inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))) = multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))),divide(multiply(multiply(multiply(X_73,X_71),X_74),X_75),X_74)) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))) = multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74)),
inference(resolve,[$cnf( $equal(divide(multiply(multiply(multiply(X_73,X_71),X_74),X_75),X_74),multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74))) )],[refute_0_652,refute_0_655]) ).
cnf(refute_0_657,plain,
( multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74)) != multiply(X_75,multiply(X_73,X_71))
| inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))) != multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74))
| inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))) = multiply(X_75,multiply(X_73,X_71)) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))))),bind(Y0,$fot(multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74)))),bind(Z0,$fot(multiply(X_75,multiply(X_73,X_71))))]]) ).
cnf(refute_0_658,plain,
( multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74)) != multiply(X_75,multiply(X_73,X_71))
| inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))) = multiply(X_75,multiply(X_73,X_71)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))),multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74))) )],[refute_0_656,refute_0_657]) ).
cnf(refute_0_659,plain,
inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))) = multiply(X_75,multiply(X_73,X_71)),
inference(resolve,[$cnf( $equal(multiply(X_75,divide(multiply(multiply(X_73,X_71),X_74),X_74)),multiply(X_75,multiply(X_73,X_71))) )],[refute_0_651,refute_0_658]) ).
cnf(refute_0_660,plain,
( multiply(X_73,multiply(X_71,X_75)) != inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75)))
| inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))) != multiply(X_75,multiply(X_73,X_71))
| multiply(X_73,multiply(X_71,X_75)) = multiply(X_75,multiply(X_73,X_71)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_73,multiply(X_71,X_75)),multiply(X_75,multiply(X_73,X_71))) ),[0],$fot(inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))))]]) ).
cnf(refute_0_661,plain,
( multiply(X_73,multiply(X_71,X_75)) != inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75)))
| multiply(X_73,multiply(X_71,X_75)) = multiply(X_75,multiply(X_73,X_71)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75))),multiply(X_75,multiply(X_73,X_71))) )],[refute_0_659,refute_0_660]) ).
cnf(refute_0_662,plain,
( multiply(X_73,divide(X_71,inverse(X_75))) != inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75)))
| multiply(X_73,multiply(X_71,X_75)) = multiply(X_75,multiply(X_73,X_71)) ),
inference(resolve,[$cnf( $equal(multiply(X_73,multiply(X_71,X_75)),inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75)))) )],[refute_0_601,refute_0_661]) ).
cnf(refute_0_663,plain,
multiply(X_73,multiply(X_71,X_75)) = multiply(X_75,multiply(X_73,X_71)),
inference(resolve,[$cnf( $equal(multiply(X_73,divide(X_71,inverse(X_75))),inverse(divide(X_74,multiply(multiply(multiply(X_73,X_71),X_74),X_75)))) )],[refute_0_594,refute_0_662]) ).
cnf(refute_0_664,plain,
( multiply(X_73,multiply(X_71,X_75)) != multiply(X_75,multiply(X_73,X_71))
| multiply(X_75,multiply(X_73,X_71)) = multiply(X_73,multiply(X_71,X_75)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_73,multiply(X_71,X_75)))),bind(Y0,$fot(multiply(X_75,multiply(X_73,X_71))))]]) ).
cnf(refute_0_665,plain,
multiply(X_75,multiply(X_73,X_71)) = multiply(X_73,multiply(X_71,X_75)),
inference(resolve,[$cnf( $equal(multiply(X_73,multiply(X_71,X_75)),multiply(X_75,multiply(X_73,X_71))) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_665:[bind(X_71,$fot(b3)),bind(X_73,$fot(a3)),bind(X_75,$fot(c3))]]) ).
cnf(refute_0_667,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_126:[bind(X_11,$fot(c3)),bind(X_19,$fot(multiply(a3,b3)))]]) ).
cnf(refute_0_668,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(subst,[],[refute_0_81:[bind(X0,$fot(multiply(multiply(a3,b3),c3))),bind(Y0,$fot(multiply(c3,multiply(a3,b3)))),bind(Z0,$fot(multiply(a3,multiply(b3,c3))))]]) ).
cnf(refute_0_669,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_667,refute_0_668]) ).
cnf(refute_0_670,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_666,refute_0_669]) ).
cnf(refute_0_671,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_672,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4)
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_672,refute_0_380]) ).
cnf(refute_0_674,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_675,plain,
( multiply(a4,b4) != multiply(a4,b4)
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_674,refute_0_673]) ).
cnf(refute_0_676,plain,
multiply(a4,b4) = multiply(a4,b4),
introduced(tautology,[refl,[$fot(multiply(a4,b4))]]) ).
cnf(refute_0_677,plain,
( a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(a4,b4)) )],[refute_0_676,refute_0_675]) ).
cnf(refute_0_678,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_679,plain,
identity != identity,
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_678,refute_0_677]) ).
cnf(refute_0_680,plain,
identity = identity,
introduced(tautology,[refl,[$fot(identity)]]) ).
cnf(refute_0_681,plain,
$false,
inference(resolve,[$cnf( $equal(identity,identity) )],[refute_0_680,refute_0_679]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP095-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 12:21:21 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.56
% 0.21/0.56 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.49/0.65
%------------------------------------------------------------------------------