TSTP Solution File: GRP093-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP093-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:34:41 EDT 2022
% Result : Unsatisfiable 0.54s 0.74s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 78
% Number of leaves : 181
% Syntax : Number of clauses : 734 ( 377 unt; 0 nHn; 387 RR)
% Number of literals : 1262 (1261 equ; 537 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 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 : 1649 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(identity,divide(divide(divide(X,Y),Z),X)),Z) = Y ).
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( $equal(multiply(X,Y),divide(X,divide(identity,Y))) )],[multiply,refute_0_14]) ).
cnf(refute_0_16,plain,
multiply(X,inverse(X_14)) = divide(X,inverse(inverse(X_14))),
inference(subst,[],[refute_0_15:[bind(Y,$fot(inverse(X_14)))]]) ).
cnf(refute_0_17,plain,
divide(identity,divide(divide(divide(X,Y),Z),X)) = inverse(divide(divide(divide(X,Y),Z),X)),
inference(subst,[],[refute_0_7:[bind(X,$fot(divide(divide(divide(X,Y),Z),X)))]]) ).
cnf(refute_0_18,plain,
divide(divide(identity,divide(divide(divide(X,Y),Z),X)),Z) = divide(divide(identity,divide(divide(divide(X,Y),Z),X)),Z),
introduced(tautology,[refl,[$fot(divide(divide(identity,divide(divide(divide(X,Y),Z),X)),Z))]]) ).
cnf(refute_0_19,plain,
( divide(divide(identity,divide(divide(divide(X,Y),Z),X)),Z) != divide(divide(identity,divide(divide(divide(X,Y),Z),X)),Z)
| divide(identity,divide(divide(divide(X,Y),Z),X)) != inverse(divide(divide(divide(X,Y),Z),X))
| divide(divide(identity,divide(divide(divide(X,Y),Z),X)),Z) = divide(inverse(divide(divide(divide(X,Y),Z),X)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(divide(divide(X,Y),Z),X)),Z),divide(divide(identity,divide(divide(divide(X,Y),Z),X)),Z)) ),[1,0],$fot(inverse(divide(divide(divide(X,Y),Z),X)))]]) ).
cnf(refute_0_20,plain,
( divide(identity,divide(divide(divide(X,Y),Z),X)) != inverse(divide(divide(divide(X,Y),Z),X))
| divide(divide(identity,divide(divide(divide(X,Y),Z),X)),Z) = divide(inverse(divide(divide(divide(X,Y),Z),X)),Z) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(divide(divide(X,Y),Z),X)),Z),divide(divide(identity,divide(divide(divide(X,Y),Z),X)),Z)) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
divide(divide(identity,divide(divide(divide(X,Y),Z),X)),Z) = divide(inverse(divide(divide(divide(X,Y),Z),X)),Z),
inference(resolve,[$cnf( $equal(divide(identity,divide(divide(divide(X,Y),Z),X)),inverse(divide(divide(divide(X,Y),Z),X))) )],[refute_0_17,refute_0_20]) ).
cnf(refute_0_22,plain,
( divide(divide(identity,divide(divide(divide(X,Y),Z),X)),Z) != Y
| divide(divide(identity,divide(divide(divide(X,Y),Z),X)),Z) != divide(inverse(divide(divide(divide(X,Y),Z),X)),Z)
| divide(inverse(divide(divide(divide(X,Y),Z),X)),Z) = Y ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(divide(divide(X,Y),Z),X)),Z),Y) ),[0],$fot(divide(inverse(divide(divide(divide(X,Y),Z),X)),Z))]]) ).
cnf(refute_0_23,plain,
( divide(divide(identity,divide(divide(divide(X,Y),Z),X)),Z) != Y
| divide(inverse(divide(divide(divide(X,Y),Z),X)),Z) = Y ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(divide(divide(X,Y),Z),X)),Z),divide(inverse(divide(divide(divide(X,Y),Z),X)),Z)) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
divide(inverse(divide(divide(divide(X,Y),Z),X)),Z) = Y,
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(divide(divide(X,Y),Z),X)),Z),Y) )],[single_axiom,refute_0_23]) ).
cnf(refute_0_25,plain,
divide(inverse(divide(divide(divide(X_7,X_8),divide(X_7,X_8)),X_7)),divide(X_7,X_8)) = X_8,
inference(subst,[],[refute_0_24:[bind(X,$fot(X_7)),bind(Y,$fot(X_8)),bind(Z,$fot(divide(X_7,X_8)))]]) ).
cnf(refute_0_26,plain,
identity = divide(divide(X_7,X_8),divide(X_7,X_8)),
inference(subst,[],[identity:[bind(X,$fot(divide(X_7,X_8)))]]) ).
cnf(refute_0_27,plain,
( identity != divide(divide(X_7,X_8),divide(X_7,X_8))
| divide(divide(X_7,X_8),divide(X_7,X_8)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(divide(X_7,X_8),divide(X_7,X_8))))]]) ).
cnf(refute_0_28,plain,
divide(divide(X_7,X_8),divide(X_7,X_8)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(divide(X_7,X_8),divide(X_7,X_8))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( divide(divide(X_7,X_8),divide(X_7,X_8)) != identity
| divide(inverse(divide(divide(divide(X_7,X_8),divide(X_7,X_8)),X_7)),divide(X_7,X_8)) != X_8
| divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(divide(X_7,X_8),divide(X_7,X_8)),X_7)),divide(X_7,X_8)),X_8) ),[0,0,0,0],$fot(identity)]]) ).
cnf(refute_0_30,plain,
( divide(inverse(divide(divide(divide(X_7,X_8),divide(X_7,X_8)),X_7)),divide(X_7,X_8)) != X_8
| divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = X_8 ),
inference(resolve,[$cnf( $equal(divide(divide(X_7,X_8),divide(X_7,X_8)),identity) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_7,X_8),divide(X_7,X_8)),X_7)),divide(X_7,X_8)),X_8) )],[refute_0_25,refute_0_30]) ).
cnf(refute_0_32,plain,
divide(identity,X_7) = inverse(X_7),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_7))]]) ).
cnf(refute_0_33,plain,
inverse(divide(identity,X_7)) = inverse(divide(identity,X_7)),
introduced(tautology,[refl,[$fot(inverse(divide(identity,X_7)))]]) ).
cnf(refute_0_34,plain,
( divide(identity,X_7) != inverse(X_7)
| inverse(divide(identity,X_7)) != inverse(divide(identity,X_7))
| inverse(divide(identity,X_7)) = inverse(inverse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(identity,X_7)),inverse(divide(identity,X_7))) ),[1,0],$fot(inverse(X_7))]]) ).
cnf(refute_0_35,plain,
( divide(identity,X_7) != inverse(X_7)
| inverse(divide(identity,X_7)) = inverse(inverse(X_7)) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_7)),inverse(divide(identity,X_7))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
inverse(divide(identity,X_7)) = inverse(inverse(X_7)),
inference(resolve,[$cnf( $equal(divide(identity,X_7),inverse(X_7)) )],[refute_0_32,refute_0_35]) ).
cnf(refute_0_37,plain,
divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = divide(inverse(divide(identity,X_7)),divide(X_7,X_8)),
introduced(tautology,[refl,[$fot(divide(inverse(divide(identity,X_7)),divide(X_7,X_8)))]]) ).
cnf(refute_0_38,plain,
( divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) != divide(inverse(divide(identity,X_7)),divide(X_7,X_8))
| inverse(divide(identity,X_7)) != inverse(inverse(X_7))
| divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = divide(inverse(inverse(X_7)),divide(X_7,X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(identity,X_7)),divide(X_7,X_8)),divide(inverse(divide(identity,X_7)),divide(X_7,X_8))) ),[1,0],$fot(inverse(inverse(X_7)))]]) ).
cnf(refute_0_39,plain,
( inverse(divide(identity,X_7)) != inverse(inverse(X_7))
| divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = divide(inverse(inverse(X_7)),divide(X_7,X_8)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,X_7)),divide(X_7,X_8)),divide(inverse(divide(identity,X_7)),divide(X_7,X_8))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = divide(inverse(inverse(X_7)),divide(X_7,X_8)),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_7)),inverse(inverse(X_7))) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
( divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) != X_8
| divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) != divide(inverse(inverse(X_7)),divide(X_7,X_8))
| divide(inverse(inverse(X_7)),divide(X_7,X_8)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(identity,X_7)),divide(X_7,X_8)),X_8) ),[0],$fot(divide(inverse(inverse(X_7)),divide(X_7,X_8)))]]) ).
cnf(refute_0_42,plain,
( divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) != X_8
| divide(inverse(inverse(X_7)),divide(X_7,X_8)) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,X_7)),divide(X_7,X_8)),divide(inverse(inverse(X_7)),divide(X_7,X_8))) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
divide(inverse(inverse(X_7)),divide(X_7,X_8)) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,X_7)),divide(X_7,X_8)),X_8) )],[refute_0_31,refute_0_42]) ).
cnf(refute_0_44,plain,
divide(inverse(inverse(X_13)),divide(X_13,X_13)) = X_13,
inference(subst,[],[refute_0_43:[bind(X_7,$fot(X_13)),bind(X_8,$fot(X_13))]]) ).
cnf(refute_0_45,plain,
identity = divide(X_13,X_13),
inference(subst,[],[identity:[bind(X,$fot(X_13))]]) ).
cnf(refute_0_46,plain,
( identity != divide(X_13,X_13)
| divide(X_13,X_13) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(X_13,X_13)))]]) ).
cnf(refute_0_47,plain,
divide(X_13,X_13) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_13,X_13)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( divide(X_13,X_13) != identity
| divide(inverse(inverse(X_13)),divide(X_13,X_13)) != X_13
| divide(inverse(inverse(X_13)),identity) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_13)),divide(X_13,X_13)),X_13) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_49,plain,
( divide(inverse(inverse(X_13)),divide(X_13,X_13)) != X_13
| divide(inverse(inverse(X_13)),identity) = X_13 ),
inference(resolve,[$cnf( $equal(divide(X_13,X_13),identity) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
divide(inverse(inverse(X_13)),identity) = X_13,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_13)),divide(X_13,X_13)),X_13) )],[refute_0_44,refute_0_49]) ).
cnf(refute_0_51,plain,
divide(inverse(inverse(identity)),divide(identity,X_13)) = X_13,
inference(subst,[],[refute_0_43:[bind(X_7,$fot(identity)),bind(X_8,$fot(X_13))]]) ).
cnf(refute_0_52,plain,
inverse(X_13) = divide(identity,X_13),
inference(subst,[],[inverse:[bind(X,$fot(X_13))]]) ).
cnf(refute_0_53,plain,
( inverse(X_13) != divide(identity,X_13)
| divide(identity,X_13) = inverse(X_13) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_13))),bind(Y0,$fot(divide(identity,X_13)))]]) ).
cnf(refute_0_54,plain,
divide(identity,X_13) = inverse(X_13),
inference(resolve,[$cnf( $equal(inverse(X_13),divide(identity,X_13)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
( divide(identity,X_13) != inverse(X_13)
| divide(inverse(inverse(identity)),divide(identity,X_13)) != X_13
| divide(inverse(inverse(identity)),inverse(X_13)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(identity)),divide(identity,X_13)),X_13) ),[0,1],$fot(inverse(X_13))]]) ).
cnf(refute_0_56,plain,
( divide(inverse(inverse(identity)),divide(identity,X_13)) != X_13
| divide(inverse(inverse(identity)),inverse(X_13)) = X_13 ),
inference(resolve,[$cnf( $equal(divide(identity,X_13),inverse(X_13)) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
divide(inverse(inverse(identity)),inverse(X_13)) = X_13,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(identity)),divide(identity,X_13)),X_13) )],[refute_0_51,refute_0_56]) ).
cnf(refute_0_58,plain,
( multiply(X,Y) != divide(X,inverse(Y))
| divide(X,inverse(Y)) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(divide(X,inverse(Y))))]]) ).
cnf(refute_0_59,plain,
divide(X,inverse(Y)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,inverse(Y))) )],[refute_0_15,refute_0_58]) ).
cnf(refute_0_60,plain,
divide(X_13,inverse(identity)) = multiply(X_13,identity),
inference(subst,[],[refute_0_59:[bind(X,$fot(X_13)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_61,plain,
divide(inverse(divide(divide(divide(X_8,X_8),X_9),X_8)),X_9) = X_8,
inference(subst,[],[refute_0_24:[bind(X,$fot(X_8)),bind(Y,$fot(X_8)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_62,plain,
identity = divide(X_8,X_8),
inference(subst,[],[identity:[bind(X,$fot(X_8))]]) ).
cnf(refute_0_63,plain,
( identity != divide(X_8,X_8)
| divide(X_8,X_8) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(X_8,X_8)))]]) ).
cnf(refute_0_64,plain,
divide(X_8,X_8) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_8,X_8)) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
( divide(X_8,X_8) != identity
| divide(inverse(divide(divide(divide(X_8,X_8),X_9),X_8)),X_9) != X_8
| divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_8),X_9),X_8)),X_9),X_8) ),[0,0,0,0,0],$fot(identity)]]) ).
cnf(refute_0_66,plain,
( divide(inverse(divide(divide(divide(X_8,X_8),X_9),X_8)),X_9) != X_8
| divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = X_8 ),
inference(resolve,[$cnf( $equal(divide(X_8,X_8),identity) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_8),X_9),X_8)),X_9),X_8) )],[refute_0_61,refute_0_66]) ).
cnf(refute_0_68,plain,
divide(identity,X_9) = inverse(X_9),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_9))]]) ).
cnf(refute_0_69,plain,
divide(divide(identity,X_9),X_8) = divide(divide(identity,X_9),X_8),
introduced(tautology,[refl,[$fot(divide(divide(identity,X_9),X_8))]]) ).
cnf(refute_0_70,plain,
( divide(divide(identity,X_9),X_8) != divide(divide(identity,X_9),X_8)
| divide(identity,X_9) != inverse(X_9)
| divide(divide(identity,X_9),X_8) = divide(inverse(X_9),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,X_9),X_8),divide(divide(identity,X_9),X_8)) ),[1,0],$fot(inverse(X_9))]]) ).
cnf(refute_0_71,plain,
( divide(identity,X_9) != inverse(X_9)
| divide(divide(identity,X_9),X_8) = divide(inverse(X_9),X_8) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,X_9),X_8),divide(divide(identity,X_9),X_8)) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
divide(divide(identity,X_9),X_8) = divide(inverse(X_9),X_8),
inference(resolve,[$cnf( $equal(divide(identity,X_9),inverse(X_9)) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
inverse(divide(divide(identity,X_9),X_8)) = inverse(divide(divide(identity,X_9),X_8)),
introduced(tautology,[refl,[$fot(inverse(divide(divide(identity,X_9),X_8)))]]) ).
cnf(refute_0_74,plain,
( divide(divide(identity,X_9),X_8) != divide(inverse(X_9),X_8)
| inverse(divide(divide(identity,X_9),X_8)) != inverse(divide(divide(identity,X_9),X_8))
| inverse(divide(divide(identity,X_9),X_8)) = inverse(divide(inverse(X_9),X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(identity,X_9),X_8)),inverse(divide(divide(identity,X_9),X_8))) ),[1,0],$fot(divide(inverse(X_9),X_8))]]) ).
cnf(refute_0_75,plain,
( divide(divide(identity,X_9),X_8) != divide(inverse(X_9),X_8)
| inverse(divide(divide(identity,X_9),X_8)) = inverse(divide(inverse(X_9),X_8)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(identity,X_9),X_8)),inverse(divide(divide(identity,X_9),X_8))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
inverse(divide(divide(identity,X_9),X_8)) = inverse(divide(inverse(X_9),X_8)),
inference(resolve,[$cnf( $equal(divide(divide(identity,X_9),X_8),divide(inverse(X_9),X_8)) )],[refute_0_72,refute_0_75]) ).
cnf(refute_0_77,plain,
divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = divide(inverse(divide(divide(identity,X_9),X_8)),X_9),
introduced(tautology,[refl,[$fot(divide(inverse(divide(divide(identity,X_9),X_8)),X_9))]]) ).
cnf(refute_0_78,plain,
( divide(inverse(divide(divide(identity,X_9),X_8)),X_9) != divide(inverse(divide(divide(identity,X_9),X_8)),X_9)
| inverse(divide(divide(identity,X_9),X_8)) != inverse(divide(inverse(X_9),X_8))
| divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = divide(inverse(divide(inverse(X_9),X_8)),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(identity,X_9),X_8)),X_9),divide(inverse(divide(divide(identity,X_9),X_8)),X_9)) ),[1,0],$fot(inverse(divide(inverse(X_9),X_8)))]]) ).
cnf(refute_0_79,plain,
( inverse(divide(divide(identity,X_9),X_8)) != inverse(divide(inverse(X_9),X_8))
| divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = divide(inverse(divide(inverse(X_9),X_8)),X_9) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(identity,X_9),X_8)),X_9),divide(inverse(divide(divide(identity,X_9),X_8)),X_9)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = divide(inverse(divide(inverse(X_9),X_8)),X_9),
inference(resolve,[$cnf( $equal(inverse(divide(divide(identity,X_9),X_8)),inverse(divide(inverse(X_9),X_8))) )],[refute_0_76,refute_0_79]) ).
cnf(refute_0_81,plain,
( divide(inverse(divide(divide(identity,X_9),X_8)),X_9) != X_8
| divide(inverse(divide(divide(identity,X_9),X_8)),X_9) != divide(inverse(divide(inverse(X_9),X_8)),X_9)
| divide(inverse(divide(inverse(X_9),X_8)),X_9) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(identity,X_9),X_8)),X_9),X_8) ),[0],$fot(divide(inverse(divide(inverse(X_9),X_8)),X_9))]]) ).
cnf(refute_0_82,plain,
( divide(inverse(divide(divide(identity,X_9),X_8)),X_9) != X_8
| divide(inverse(divide(inverse(X_9),X_8)),X_9) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(identity,X_9),X_8)),X_9),divide(inverse(divide(inverse(X_9),X_8)),X_9)) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
divide(inverse(divide(inverse(X_9),X_8)),X_9) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(identity,X_9),X_8)),X_9),X_8) )],[refute_0_67,refute_0_82]) ).
cnf(refute_0_84,plain,
divide(inverse(divide(inverse(inverse(X_12)),divide(X_12,X_13))),inverse(X_12)) = divide(X_12,X_13),
inference(subst,[],[refute_0_83:[bind(X_8,$fot(divide(X_12,X_13))),bind(X_9,$fot(inverse(X_12)))]]) ).
cnf(refute_0_85,plain,
divide(inverse(inverse(X_12)),divide(X_12,X_13)) = X_13,
inference(subst,[],[refute_0_43:[bind(X_7,$fot(X_12)),bind(X_8,$fot(X_13))]]) ).
cnf(refute_0_86,plain,
( divide(inverse(divide(inverse(inverse(X_12)),divide(X_12,X_13))),inverse(X_12)) != divide(X_12,X_13)
| divide(inverse(inverse(X_12)),divide(X_12,X_13)) != X_13
| divide(inverse(X_13),inverse(X_12)) = divide(X_12,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(inverse(X_12)),divide(X_12,X_13))),inverse(X_12)),divide(X_12,X_13)) ),[0,0,0],$fot(X_13)]]) ).
cnf(refute_0_87,plain,
( divide(inverse(divide(inverse(inverse(X_12)),divide(X_12,X_13))),inverse(X_12)) != divide(X_12,X_13)
| divide(inverse(X_13),inverse(X_12)) = divide(X_12,X_13) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_12)),divide(X_12,X_13)),X_13) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
divide(inverse(X_13),inverse(X_12)) = divide(X_12,X_13),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(inverse(X_12)),divide(X_12,X_13))),inverse(X_12)),divide(X_12,X_13)) )],[refute_0_84,refute_0_87]) ).
cnf(refute_0_89,plain,
divide(inverse(X_13),inverse(X_12)) = multiply(inverse(X_13),X_12),
inference(subst,[],[refute_0_59:[bind(X,$fot(inverse(X_13))),bind(Y,$fot(X_12))]]) ).
cnf(refute_0_90,plain,
( divide(inverse(X_13),inverse(X_12)) != multiply(inverse(X_13),X_12)
| divide(inverse(X_13),inverse(X_12)) != divide(X_12,X_13)
| multiply(inverse(X_13),X_12) = divide(X_12,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_13),inverse(X_12)),divide(X_12,X_13)) ),[0],$fot(multiply(inverse(X_13),X_12))]]) ).
cnf(refute_0_91,plain,
( divide(inverse(X_13),inverse(X_12)) != divide(X_12,X_13)
| multiply(inverse(X_13),X_12) = divide(X_12,X_13) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_13),inverse(X_12)),multiply(inverse(X_13),X_12)) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
multiply(inverse(X_13),X_12) = divide(X_12,X_13),
inference(resolve,[$cnf( $equal(divide(inverse(X_13),inverse(X_12)),divide(X_12,X_13)) )],[refute_0_88,refute_0_91]) ).
cnf(refute_0_93,plain,
multiply(inverse(inverse(identity)),X_13) = divide(X_13,inverse(identity)),
inference(subst,[],[refute_0_92:[bind(X_12,$fot(X_13)),bind(X_13,$fot(inverse(identity)))]]) ).
cnf(refute_0_94,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_95,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_94]) ).
cnf(refute_0_96,plain,
( multiply(inverse(inverse(identity)),X_13) != divide(X_13,inverse(identity))
| divide(X_13,inverse(identity)) != multiply(X_13,identity)
| multiply(inverse(inverse(identity)),X_13) = multiply(X_13,identity) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(inverse(inverse(identity)),X_13))),bind(Y0,$fot(divide(X_13,inverse(identity)))),bind(Z0,$fot(multiply(X_13,identity)))]]) ).
cnf(refute_0_97,plain,
( divide(X_13,inverse(identity)) != multiply(X_13,identity)
| multiply(inverse(inverse(identity)),X_13) = multiply(X_13,identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),X_13),divide(X_13,inverse(identity))) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
multiply(inverse(inverse(identity)),X_13) = multiply(X_13,identity),
inference(resolve,[$cnf( $equal(divide(X_13,inverse(identity)),multiply(X_13,identity)) )],[refute_0_60,refute_0_97]) ).
cnf(refute_0_99,plain,
divide(inverse(inverse(identity)),inverse(X_13)) = multiply(inverse(inverse(identity)),X_13),
inference(subst,[],[refute_0_59:[bind(X,$fot(inverse(inverse(identity)))),bind(Y,$fot(X_13))]]) ).
cnf(refute_0_100,plain,
( multiply(inverse(inverse(identity)),X_13) != multiply(X_13,identity)
| divide(inverse(inverse(identity)),inverse(X_13)) != multiply(inverse(inverse(identity)),X_13)
| divide(inverse(inverse(identity)),inverse(X_13)) = multiply(X_13,identity) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(divide(inverse(inverse(identity)),inverse(X_13)))),bind(Y0,$fot(multiply(inverse(inverse(identity)),X_13))),bind(Z0,$fot(multiply(X_13,identity)))]]) ).
cnf(refute_0_101,plain,
( multiply(inverse(inverse(identity)),X_13) != multiply(X_13,identity)
| divide(inverse(inverse(identity)),inverse(X_13)) = multiply(X_13,identity) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(identity)),inverse(X_13)),multiply(inverse(inverse(identity)),X_13)) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
divide(inverse(inverse(identity)),inverse(X_13)) = multiply(X_13,identity),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),X_13),multiply(X_13,identity)) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
( divide(inverse(inverse(identity)),inverse(X_13)) != X_13
| divide(inverse(inverse(identity)),inverse(X_13)) != multiply(X_13,identity)
| multiply(X_13,identity) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(identity)),inverse(X_13)),X_13) ),[0],$fot(multiply(X_13,identity))]]) ).
cnf(refute_0_104,plain,
( divide(inverse(inverse(identity)),inverse(X_13)) != X_13
| multiply(X_13,identity) = X_13 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(identity)),inverse(X_13)),multiply(X_13,identity)) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
multiply(X_13,identity) = X_13,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(identity)),inverse(X_13)),X_13) )],[refute_0_57,refute_0_104]) ).
cnf(refute_0_106,plain,
multiply(inverse(inverse(X_13)),identity) = inverse(inverse(X_13)),
inference(subst,[],[refute_0_105:[bind(X_13,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_107,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_108,plain,
identity = divide(identity,identity),
inference(subst,[],[identity:[bind(X,$fot(identity))]]) ).
cnf(refute_0_109,plain,
inverse(identity) = divide(identity,identity),
inference(subst,[],[inverse:[bind(X,$fot(identity))]]) ).
cnf(refute_0_110,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_111,plain,
divide(identity,identity) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),divide(identity,identity)) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
( divide(identity,identity) != inverse(identity)
| identity != divide(identity,identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(identity,divide(identity,identity)) ),[1],$fot(inverse(identity))]]) ).
cnf(refute_0_113,plain,
( identity != divide(identity,identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(divide(identity,identity),inverse(identity)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(identity,divide(identity,identity)) )],[refute_0_108,refute_0_113]) ).
cnf(refute_0_115,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(inverse(identity)))]]) ).
cnf(refute_0_116,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| inverse(identity) != identity
| multiply(X_2,identity) = divide(X_2,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_118,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| multiply(X_2,identity) = divide(X_2,identity) ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
multiply(X_2,identity) = divide(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) )],[refute_0_107,refute_0_118]) ).
cnf(refute_0_120,plain,
( multiply(X_2,identity) != divide(X_2,identity)
| divide(X_2,identity) = multiply(X_2,identity) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_2,identity))),bind(Y0,$fot(divide(X_2,identity)))]]) ).
cnf(refute_0_121,plain,
divide(X_2,identity) = multiply(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,identity)) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
divide(inverse(inverse(X_13)),identity) = multiply(inverse(inverse(X_13)),identity),
inference(subst,[],[refute_0_121:[bind(X_2,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_123,plain,
( multiply(inverse(inverse(X_13)),identity) != inverse(inverse(X_13))
| divide(inverse(inverse(X_13)),identity) != multiply(inverse(inverse(X_13)),identity)
| divide(inverse(inverse(X_13)),identity) = inverse(inverse(X_13)) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(divide(inverse(inverse(X_13)),identity))),bind(Y0,$fot(multiply(inverse(inverse(X_13)),identity))),bind(Z0,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_124,plain,
( multiply(inverse(inverse(X_13)),identity) != inverse(inverse(X_13))
| divide(inverse(inverse(X_13)),identity) = inverse(inverse(X_13)) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_13)),identity),multiply(inverse(inverse(X_13)),identity)) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
divide(inverse(inverse(X_13)),identity) = inverse(inverse(X_13)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),identity),inverse(inverse(X_13))) )],[refute_0_106,refute_0_124]) ).
cnf(refute_0_126,plain,
( divide(inverse(inverse(X_13)),identity) != X_13
| divide(inverse(inverse(X_13)),identity) != inverse(inverse(X_13))
| inverse(inverse(X_13)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_13)),identity),X_13) ),[0],$fot(inverse(inverse(X_13)))]]) ).
cnf(refute_0_127,plain,
( divide(inverse(inverse(X_13)),identity) != X_13
| inverse(inverse(X_13)) = X_13 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_13)),identity),inverse(inverse(X_13))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
inverse(inverse(X_13)) = X_13,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_13)),identity),X_13) )],[refute_0_50,refute_0_127]) ).
cnf(refute_0_129,plain,
inverse(inverse(X_14)) = X_14,
inference(subst,[],[refute_0_128:[bind(X_13,$fot(X_14))]]) ).
cnf(refute_0_130,plain,
( multiply(X,inverse(X_14)) != divide(X,inverse(inverse(X_14)))
| inverse(inverse(X_14)) != X_14
| multiply(X,inverse(X_14)) = divide(X,X_14) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(X_14)),divide(X,inverse(inverse(X_14)))) ),[1,1],$fot(X_14)]]) ).
cnf(refute_0_131,plain,
( multiply(X,inverse(X_14)) != divide(X,inverse(inverse(X_14)))
| multiply(X,inverse(X_14)) = divide(X,X_14) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_14)),X_14) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
multiply(X,inverse(X_14)) = divide(X,X_14),
inference(resolve,[$cnf( $equal(multiply(X,inverse(X_14)),divide(X,inverse(inverse(X_14)))) )],[refute_0_16,refute_0_131]) ).
cnf(refute_0_133,plain,
multiply(a1,inverse(a1)) = divide(a1,a1),
inference(subst,[],[refute_0_132:[bind(X,$fot(a1)),bind(X_14,$fot(a1))]]) ).
cnf(refute_0_134,plain,
( multiply(a1,inverse(a1)) != divide(a1,a1)
| divide(a1,a1) != identity
| multiply(a1,inverse(a1)) = identity ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(a1,inverse(a1)))),bind(Y0,$fot(divide(a1,a1))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_135,plain,
( divide(a1,a1) != identity
| multiply(a1,inverse(a1)) = identity ),
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),divide(a1,a1)) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
multiply(a1,inverse(a1)) = identity,
inference(resolve,[$cnf( $equal(divide(a1,a1),identity) )],[refute_0_5,refute_0_135]) ).
cnf(refute_0_137,plain,
multiply(inverse(multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))),X_12) = divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))),
inference(subst,[],[refute_0_92:[bind(X_13,$fot(multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))))]]) ).
cnf(refute_0_138,plain,
divide(inverse(divide(divide(divide(inverse(Y),X_8),X_9),inverse(Y))),X_9) = X_8,
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(Y))),bind(Y,$fot(X_8)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_139,plain,
multiply(divide(divide(inverse(Y),X_8),X_9),Y) = divide(divide(divide(inverse(Y),X_8),X_9),inverse(Y)),
inference(subst,[],[refute_0_15:[bind(X,$fot(divide(divide(inverse(Y),X_8),X_9)))]]) ).
cnf(refute_0_140,plain,
( multiply(divide(divide(inverse(Y),X_8),X_9),Y) != divide(divide(divide(inverse(Y),X_8),X_9),inverse(Y))
| divide(divide(divide(inverse(Y),X_8),X_9),inverse(Y)) = multiply(divide(divide(inverse(Y),X_8),X_9),Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(divide(divide(inverse(Y),X_8),X_9),Y))),bind(Y0,$fot(divide(divide(divide(inverse(Y),X_8),X_9),inverse(Y))))]]) ).
cnf(refute_0_141,plain,
divide(divide(divide(inverse(Y),X_8),X_9),inverse(Y)) = multiply(divide(divide(inverse(Y),X_8),X_9),Y),
inference(resolve,[$cnf( $equal(multiply(divide(divide(inverse(Y),X_8),X_9),Y),divide(divide(divide(inverse(Y),X_8),X_9),inverse(Y))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
( divide(divide(divide(inverse(Y),X_8),X_9),inverse(Y)) != multiply(divide(divide(inverse(Y),X_8),X_9),Y)
| divide(inverse(divide(divide(divide(inverse(Y),X_8),X_9),inverse(Y))),X_9) != X_8
| divide(inverse(multiply(divide(divide(inverse(Y),X_8),X_9),Y)),X_9) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(divide(inverse(Y),X_8),X_9),inverse(Y))),X_9),X_8) ),[0,0,0],$fot(multiply(divide(divide(inverse(Y),X_8),X_9),Y))]]) ).
cnf(refute_0_143,plain,
( divide(inverse(divide(divide(divide(inverse(Y),X_8),X_9),inverse(Y))),X_9) != X_8
| divide(inverse(multiply(divide(divide(inverse(Y),X_8),X_9),Y)),X_9) = X_8 ),
inference(resolve,[$cnf( $equal(divide(divide(divide(inverse(Y),X_8),X_9),inverse(Y)),multiply(divide(divide(inverse(Y),X_8),X_9),Y)) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
divide(inverse(multiply(divide(divide(inverse(Y),X_8),X_9),Y)),X_9) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(inverse(Y),X_8),X_9),inverse(Y))),X_9),X_8) )],[refute_0_138,refute_0_143]) ).
cnf(refute_0_145,plain,
divide(inverse(divide(inverse(X_9),divide(inverse(X_9),X_21))),X_9) = divide(inverse(X_9),X_21),
inference(subst,[],[refute_0_83:[bind(X_8,$fot(divide(inverse(X_9),X_21)))]]) ).
cnf(refute_0_146,plain,
multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y) = divide(inverse(divide(inverse(inverse(Y)),X_10)),inverse(Y)),
inference(subst,[],[refute_0_15:[bind(X,$fot(inverse(divide(inverse(inverse(Y)),X_10))))]]) ).
cnf(refute_0_147,plain,
divide(inverse(divide(inverse(inverse(Y)),X_10)),inverse(Y)) = X_10,
inference(subst,[],[refute_0_83:[bind(X_8,$fot(X_10)),bind(X_9,$fot(inverse(Y)))]]) ).
cnf(refute_0_148,plain,
( multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y) != divide(inverse(divide(inverse(inverse(Y)),X_10)),inverse(Y))
| divide(inverse(divide(inverse(inverse(Y)),X_10)),inverse(Y)) != X_10
| multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y) = X_10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y),X_10) ),[0],$fot(divide(inverse(divide(inverse(inverse(Y)),X_10)),inverse(Y)))]]) ).
cnf(refute_0_149,plain,
( multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y) != divide(inverse(divide(inverse(inverse(Y)),X_10)),inverse(Y))
| multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y) = X_10 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(inverse(Y)),X_10)),inverse(Y)),X_10) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y) = X_10,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y),divide(inverse(divide(inverse(inverse(Y)),X_10)),inverse(Y))) )],[refute_0_146,refute_0_149]) ).
cnf(refute_0_151,plain,
inverse(inverse(Y)) = Y,
inference(subst,[],[refute_0_128:[bind(X_13,$fot(Y))]]) ).
cnf(refute_0_152,plain,
divide(inverse(inverse(Y)),X_10) = divide(inverse(inverse(Y)),X_10),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(Y)),X_10))]]) ).
cnf(refute_0_153,plain,
( divide(inverse(inverse(Y)),X_10) != divide(inverse(inverse(Y)),X_10)
| inverse(inverse(Y)) != Y
| divide(inverse(inverse(Y)),X_10) = divide(Y,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(Y)),X_10),divide(inverse(inverse(Y)),X_10)) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_154,plain,
( inverse(inverse(Y)) != Y
| divide(inverse(inverse(Y)),X_10) = divide(Y,X_10) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(Y)),X_10),divide(inverse(inverse(Y)),X_10)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
divide(inverse(inverse(Y)),X_10) = divide(Y,X_10),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_151,refute_0_154]) ).
cnf(refute_0_156,plain,
divide(Y,divide(inverse(inverse(Y)),X_10)) = divide(Y,divide(inverse(inverse(Y)),X_10)),
introduced(tautology,[refl,[$fot(divide(Y,divide(inverse(inverse(Y)),X_10)))]]) ).
cnf(refute_0_157,plain,
( divide(Y,divide(inverse(inverse(Y)),X_10)) != divide(Y,divide(inverse(inverse(Y)),X_10))
| divide(inverse(inverse(Y)),X_10) != divide(Y,X_10)
| divide(Y,divide(inverse(inverse(Y)),X_10)) = divide(Y,divide(Y,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(Y,divide(inverse(inverse(Y)),X_10)),divide(Y,divide(inverse(inverse(Y)),X_10))) ),[1,1],$fot(divide(Y,X_10))]]) ).
cnf(refute_0_158,plain,
( divide(inverse(inverse(Y)),X_10) != divide(Y,X_10)
| divide(Y,divide(inverse(inverse(Y)),X_10)) = divide(Y,divide(Y,X_10)) ),
inference(resolve,[$cnf( $equal(divide(Y,divide(inverse(inverse(Y)),X_10)),divide(Y,divide(inverse(inverse(Y)),X_10))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
divide(Y,divide(inverse(inverse(Y)),X_10)) = divide(Y,divide(Y,X_10)),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(Y)),X_10),divide(Y,X_10)) )],[refute_0_155,refute_0_158]) ).
cnf(refute_0_160,plain,
multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y) = divide(Y,divide(inverse(inverse(Y)),X_10)),
inference(subst,[],[refute_0_92:[bind(X_12,$fot(Y)),bind(X_13,$fot(divide(inverse(inverse(Y)),X_10)))]]) ).
cnf(refute_0_161,plain,
( multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y) != divide(Y,divide(inverse(inverse(Y)),X_10))
| divide(Y,divide(inverse(inverse(Y)),X_10)) != divide(Y,divide(Y,X_10))
| multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y) = divide(Y,divide(Y,X_10)) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y))),bind(Y0,$fot(divide(Y,divide(inverse(inverse(Y)),X_10)))),bind(Z0,$fot(divide(Y,divide(Y,X_10))))]]) ).
cnf(refute_0_162,plain,
( divide(Y,divide(inverse(inverse(Y)),X_10)) != divide(Y,divide(Y,X_10))
| multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y) = divide(Y,divide(Y,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y),divide(Y,divide(inverse(inverse(Y)),X_10))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y) = divide(Y,divide(Y,X_10)),
inference(resolve,[$cnf( $equal(divide(Y,divide(inverse(inverse(Y)),X_10)),divide(Y,divide(Y,X_10))) )],[refute_0_159,refute_0_162]) ).
cnf(refute_0_164,plain,
( multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y) != X_10
| multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y) != divide(Y,divide(Y,X_10))
| divide(Y,divide(Y,X_10)) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y),X_10) ),[0],$fot(divide(Y,divide(Y,X_10)))]]) ).
cnf(refute_0_165,plain,
( multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y) != X_10
| divide(Y,divide(Y,X_10)) = X_10 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y),divide(Y,divide(Y,X_10))) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
divide(Y,divide(Y,X_10)) = X_10,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(inverse(inverse(Y)),X_10)),Y),X_10) )],[refute_0_150,refute_0_165]) ).
cnf(refute_0_167,plain,
divide(inverse(X_9),divide(inverse(X_9),X_21)) = X_21,
inference(subst,[],[refute_0_166:[bind(Y,$fot(inverse(X_9))),bind(X_10,$fot(X_21))]]) ).
cnf(refute_0_168,plain,
( divide(inverse(X_9),divide(inverse(X_9),X_21)) != X_21
| divide(inverse(divide(inverse(X_9),divide(inverse(X_9),X_21))),X_9) != divide(inverse(X_9),X_21)
| divide(inverse(X_21),X_9) = divide(inverse(X_9),X_21) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(X_9),divide(inverse(X_9),X_21))),X_9),divide(inverse(X_9),X_21)) ),[0,0,0],$fot(X_21)]]) ).
cnf(refute_0_169,plain,
( divide(inverse(divide(inverse(X_9),divide(inverse(X_9),X_21))),X_9) != divide(inverse(X_9),X_21)
| divide(inverse(X_21),X_9) = divide(inverse(X_9),X_21) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_9),divide(inverse(X_9),X_21)),X_21) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
divide(inverse(X_21),X_9) = divide(inverse(X_9),X_21),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(X_9),divide(inverse(X_9),X_21))),X_9),divide(inverse(X_9),X_21)) )],[refute_0_145,refute_0_169]) ).
cnf(refute_0_171,plain,
( divide(inverse(X_21),X_9) != divide(inverse(X_9),X_21)
| divide(inverse(X_9),X_21) = divide(inverse(X_21),X_9) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(divide(inverse(X_21),X_9))),bind(Y0,$fot(divide(inverse(X_9),X_21)))]]) ).
cnf(refute_0_172,plain,
divide(inverse(X_9),X_21) = divide(inverse(X_21),X_9),
inference(resolve,[$cnf( $equal(divide(inverse(X_21),X_9),divide(inverse(X_9),X_21)) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
divide(inverse(multiply(divide(divide(inverse(Y),X_8),X_9),Y)),X_9) = divide(inverse(X_9),multiply(divide(divide(inverse(Y),X_8),X_9),Y)),
inference(subst,[],[refute_0_172:[bind(X_21,$fot(X_9)),bind(X_9,$fot(multiply(divide(divide(inverse(Y),X_8),X_9),Y)))]]) ).
cnf(refute_0_174,plain,
( divide(inverse(multiply(divide(divide(inverse(Y),X_8),X_9),Y)),X_9) != X_8
| divide(inverse(multiply(divide(divide(inverse(Y),X_8),X_9),Y)),X_9) != divide(inverse(X_9),multiply(divide(divide(inverse(Y),X_8),X_9),Y))
| divide(inverse(X_9),multiply(divide(divide(inverse(Y),X_8),X_9),Y)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(multiply(divide(divide(inverse(Y),X_8),X_9),Y)),X_9),X_8) ),[0],$fot(divide(inverse(X_9),multiply(divide(divide(inverse(Y),X_8),X_9),Y)))]]) ).
cnf(refute_0_175,plain,
( divide(inverse(multiply(divide(divide(inverse(Y),X_8),X_9),Y)),X_9) != X_8
| divide(inverse(X_9),multiply(divide(divide(inverse(Y),X_8),X_9),Y)) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(divide(divide(inverse(Y),X_8),X_9),Y)),X_9),divide(inverse(X_9),multiply(divide(divide(inverse(Y),X_8),X_9),Y))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
divide(inverse(X_9),multiply(divide(divide(inverse(Y),X_8),X_9),Y)) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(multiply(divide(divide(inverse(Y),X_8),X_9),Y)),X_9),X_8) )],[refute_0_144,refute_0_175]) ).
cnf(refute_0_177,plain,
multiply(inverse(multiply(X_9,multiply(X_8,Y))),Y) = divide(Y,multiply(X_9,multiply(X_8,Y))),
inference(subst,[],[refute_0_92:[bind(X_12,$fot(Y)),bind(X_13,$fot(multiply(X_9,multiply(X_8,Y))))]]) ).
cnf(refute_0_178,plain,
multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),
inference(subst,[],[refute_0_119:[bind(X_2,$fot(inverse(divide(divide(divide(X_7,X_8),identity),X_7))))]]) ).
cnf(refute_0_179,plain,
divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = X_8,
inference(subst,[],[refute_0_24:[bind(X,$fot(X_7)),bind(Y,$fot(X_8)),bind(Z,$fot(identity))]]) ).
cnf(refute_0_180,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity)
| divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != X_8
| multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = X_8 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),X_8) ),[0],$fot(divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity))]]) ).
cnf(refute_0_181,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity)
| multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),X_8) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity)) )],[refute_0_178,refute_0_181]) ).
cnf(refute_0_183,plain,
divide(divide(X_7,X_8),identity) = multiply(divide(X_7,X_8),identity),
inference(subst,[],[refute_0_121:[bind(X_2,$fot(divide(X_7,X_8)))]]) ).
cnf(refute_0_184,plain,
divide(divide(divide(X_7,X_8),identity),X_7) = divide(divide(divide(X_7,X_8),identity),X_7),
introduced(tautology,[refl,[$fot(divide(divide(divide(X_7,X_8),identity),X_7))]]) ).
cnf(refute_0_185,plain,
( divide(divide(X_7,X_8),identity) != multiply(divide(X_7,X_8),identity)
| divide(divide(divide(X_7,X_8),identity),X_7) != divide(divide(divide(X_7,X_8),identity),X_7)
| divide(divide(divide(X_7,X_8),identity),X_7) = divide(multiply(divide(X_7,X_8),identity),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_7,X_8),identity),X_7),divide(divide(divide(X_7,X_8),identity),X_7)) ),[1,0],$fot(multiply(divide(X_7,X_8),identity))]]) ).
cnf(refute_0_186,plain,
( divide(divide(X_7,X_8),identity) != multiply(divide(X_7,X_8),identity)
| divide(divide(divide(X_7,X_8),identity),X_7) = divide(multiply(divide(X_7,X_8),identity),X_7) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_7,X_8),identity),X_7),divide(divide(divide(X_7,X_8),identity),X_7)) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
divide(divide(divide(X_7,X_8),identity),X_7) = divide(multiply(divide(X_7,X_8),identity),X_7),
inference(resolve,[$cnf( $equal(divide(divide(X_7,X_8),identity),multiply(divide(X_7,X_8),identity)) )],[refute_0_183,refute_0_186]) ).
cnf(refute_0_188,plain,
inverse(divide(divide(divide(X_7,X_8),identity),X_7)) = inverse(divide(divide(divide(X_7,X_8),identity),X_7)),
introduced(tautology,[refl,[$fot(inverse(divide(divide(divide(X_7,X_8),identity),X_7)))]]) ).
cnf(refute_0_189,plain,
( divide(divide(divide(X_7,X_8),identity),X_7) != divide(multiply(divide(X_7,X_8),identity),X_7)
| inverse(divide(divide(divide(X_7,X_8),identity),X_7)) != inverse(divide(divide(divide(X_7,X_8),identity),X_7))
| inverse(divide(divide(divide(X_7,X_8),identity),X_7)) = inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),inverse(divide(divide(divide(X_7,X_8),identity),X_7))) ),[1,0],$fot(divide(multiply(divide(X_7,X_8),identity),X_7))]]) ).
cnf(refute_0_190,plain,
( divide(divide(divide(X_7,X_8),identity),X_7) != divide(multiply(divide(X_7,X_8),identity),X_7)
| inverse(divide(divide(divide(X_7,X_8),identity),X_7)) = inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),inverse(divide(divide(divide(X_7,X_8),identity),X_7))) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
inverse(divide(divide(divide(X_7,X_8),identity),X_7)) = inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_7,X_8),identity),X_7),divide(multiply(divide(X_7,X_8),identity),X_7)) )],[refute_0_187,refute_0_190]) ).
cnf(refute_0_192,plain,
multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),
introduced(tautology,[refl,[$fot(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity))]]) ).
cnf(refute_0_193,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity)
| inverse(divide(divide(divide(X_7,X_8),identity),X_7)) != inverse(divide(multiply(divide(X_7,X_8),identity),X_7))
| multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity)) ),[1,0],$fot(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)))]]) ).
cnf(refute_0_194,plain,
( inverse(divide(divide(divide(X_7,X_8),identity),X_7)) != inverse(divide(multiply(divide(X_7,X_8),identity),X_7))
| multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity)) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity),
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),inverse(divide(multiply(divide(X_7,X_8),identity),X_7))) )],[refute_0_191,refute_0_194]) ).
cnf(refute_0_196,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != X_8
| multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity)
| multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),X_8) ),[0],$fot(multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity))]]) ).
cnf(refute_0_197,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != X_8
| multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity)) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),X_8) )],[refute_0_182,refute_0_197]) ).
cnf(refute_0_199,plain,
multiply(divide(X_7,X_8),identity) = divide(X_7,X_8),
inference(subst,[],[refute_0_105:[bind(X_13,$fot(divide(X_7,X_8)))]]) ).
cnf(refute_0_200,plain,
divide(multiply(divide(X_7,X_8),identity),X_7) = divide(multiply(divide(X_7,X_8),identity),X_7),
introduced(tautology,[refl,[$fot(divide(multiply(divide(X_7,X_8),identity),X_7))]]) ).
cnf(refute_0_201,plain,
( multiply(divide(X_7,X_8),identity) != divide(X_7,X_8)
| divide(multiply(divide(X_7,X_8),identity),X_7) != divide(multiply(divide(X_7,X_8),identity),X_7)
| divide(multiply(divide(X_7,X_8),identity),X_7) = divide(divide(X_7,X_8),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(X_7,X_8),identity),X_7),divide(multiply(divide(X_7,X_8),identity),X_7)) ),[1,0],$fot(divide(X_7,X_8))]]) ).
cnf(refute_0_202,plain,
( multiply(divide(X_7,X_8),identity) != divide(X_7,X_8)
| divide(multiply(divide(X_7,X_8),identity),X_7) = divide(divide(X_7,X_8),X_7) ),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_7,X_8),identity),X_7),divide(multiply(divide(X_7,X_8),identity),X_7)) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
divide(multiply(divide(X_7,X_8),identity),X_7) = divide(divide(X_7,X_8),X_7),
inference(resolve,[$cnf( $equal(multiply(divide(X_7,X_8),identity),divide(X_7,X_8)) )],[refute_0_199,refute_0_202]) ).
cnf(refute_0_204,plain,
inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) = inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),
introduced(tautology,[refl,[$fot(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)))]]) ).
cnf(refute_0_205,plain,
( divide(multiply(divide(X_7,X_8),identity),X_7) != divide(divide(X_7,X_8),X_7)
| inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) != inverse(divide(multiply(divide(X_7,X_8),identity),X_7))
| inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) = inverse(divide(divide(X_7,X_8),X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),inverse(divide(multiply(divide(X_7,X_8),identity),X_7))) ),[1,0],$fot(divide(divide(X_7,X_8),X_7))]]) ).
cnf(refute_0_206,plain,
( divide(multiply(divide(X_7,X_8),identity),X_7) != divide(divide(X_7,X_8),X_7)
| inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) = inverse(divide(divide(X_7,X_8),X_7)) ),
inference(resolve,[$cnf( $equal(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),inverse(divide(multiply(divide(X_7,X_8),identity),X_7))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) = inverse(divide(divide(X_7,X_8),X_7)),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_7,X_8),identity),X_7),divide(divide(X_7,X_8),X_7)) )],[refute_0_203,refute_0_206]) ).
cnf(refute_0_208,plain,
multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),
inference(subst,[],[refute_0_105:[bind(X_13,$fot(inverse(divide(multiply(divide(X_7,X_8),identity),X_7))))]]) ).
cnf(refute_0_209,plain,
( multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) != inverse(divide(multiply(divide(X_7,X_8),identity),X_7))
| inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) != inverse(divide(divide(X_7,X_8),X_7))
| multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = inverse(divide(divide(X_7,X_8),X_7)) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity))),bind(Y0,$fot(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)))),bind(Z0,$fot(inverse(divide(divide(X_7,X_8),X_7))))]]) ).
cnf(refute_0_210,plain,
( inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) != inverse(divide(divide(X_7,X_8),X_7))
| multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = inverse(divide(divide(X_7,X_8),X_7)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity),inverse(divide(multiply(divide(X_7,X_8),identity),X_7))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = inverse(divide(divide(X_7,X_8),X_7)),
inference(resolve,[$cnf( $equal(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),inverse(divide(divide(X_7,X_8),X_7))) )],[refute_0_207,refute_0_210]) ).
cnf(refute_0_212,plain,
( multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) != X_8
| multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) != inverse(divide(divide(X_7,X_8),X_7))
| inverse(divide(divide(X_7,X_8),X_7)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity),X_8) ),[0],$fot(inverse(divide(divide(X_7,X_8),X_7)))]]) ).
cnf(refute_0_213,plain,
( multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) != X_8
| inverse(divide(divide(X_7,X_8),X_7)) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity),inverse(divide(divide(X_7,X_8),X_7))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
inverse(divide(divide(X_7,X_8),X_7)) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity),X_8) )],[refute_0_198,refute_0_213]) ).
cnf(refute_0_215,plain,
inverse(divide(divide(X_22,divide(X_22,X_10)),X_22)) = divide(X_22,X_10),
inference(subst,[],[refute_0_214:[bind(X_7,$fot(X_22)),bind(X_8,$fot(divide(X_22,X_10)))]]) ).
cnf(refute_0_216,plain,
divide(X_22,divide(X_22,X_10)) = X_10,
inference(subst,[],[refute_0_166:[bind(Y,$fot(X_22))]]) ).
cnf(refute_0_217,plain,
( divide(X_22,divide(X_22,X_10)) != X_10
| inverse(divide(divide(X_22,divide(X_22,X_10)),X_22)) != divide(X_22,X_10)
| inverse(divide(X_10,X_22)) = divide(X_22,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_22,divide(X_22,X_10)),X_22)),divide(X_22,X_10)) ),[0,0,0],$fot(X_10)]]) ).
cnf(refute_0_218,plain,
( inverse(divide(divide(X_22,divide(X_22,X_10)),X_22)) != divide(X_22,X_10)
| inverse(divide(X_10,X_22)) = divide(X_22,X_10) ),
inference(resolve,[$cnf( $equal(divide(X_22,divide(X_22,X_10)),X_10) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
inverse(divide(X_10,X_22)) = divide(X_22,X_10),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_22,divide(X_22,X_10)),X_22)),divide(X_22,X_10)) )],[refute_0_215,refute_0_218]) ).
cnf(refute_0_220,plain,
inverse(divide(X_24,inverse(Y))) = divide(inverse(Y),X_24),
inference(subst,[],[refute_0_219:[bind(X_10,$fot(X_24)),bind(X_22,$fot(inverse(Y)))]]) ).
cnf(refute_0_221,plain,
multiply(X_24,Y) = divide(X_24,inverse(Y)),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_24))]]) ).
cnf(refute_0_222,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_223,plain,
divide(X_24,inverse(Y)) = multiply(X_24,Y),
inference(resolve,[$cnf( $equal(multiply(X_24,Y),divide(X_24,inverse(Y))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
( divide(X_24,inverse(Y)) != multiply(X_24,Y)
| inverse(divide(X_24,inverse(Y))) != divide(inverse(Y),X_24)
| inverse(multiply(X_24,Y)) = divide(inverse(Y),X_24) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_24,inverse(Y))),divide(inverse(Y),X_24)) ),[0,0],$fot(multiply(X_24,Y))]]) ).
cnf(refute_0_225,plain,
( inverse(divide(X_24,inverse(Y))) != divide(inverse(Y),X_24)
| inverse(multiply(X_24,Y)) = divide(inverse(Y),X_24) ),
inference(resolve,[$cnf( $equal(divide(X_24,inverse(Y)),multiply(X_24,Y)) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
inverse(multiply(X_24,Y)) = divide(inverse(Y),X_24),
inference(resolve,[$cnf( $equal(inverse(divide(X_24,inverse(Y))),divide(inverse(Y),X_24)) )],[refute_0_220,refute_0_225]) ).
cnf(refute_0_227,plain,
( inverse(multiply(X_24,Y)) != divide(inverse(Y),X_24)
| divide(inverse(Y),X_24) = inverse(multiply(X_24,Y)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_24,Y)))),bind(Y0,$fot(divide(inverse(Y),X_24)))]]) ).
cnf(refute_0_228,plain,
divide(inverse(Y),X_24) = inverse(multiply(X_24,Y)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_24,Y)),divide(inverse(Y),X_24)) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
divide(inverse(multiply(X_8,Y)),X_9) = inverse(multiply(X_9,multiply(X_8,Y))),
inference(subst,[],[refute_0_228:[bind(Y,$fot(multiply(X_8,Y))),bind(X_24,$fot(X_9))]]) ).
cnf(refute_0_230,plain,
divide(inverse(Y),X_8) = inverse(multiply(X_8,Y)),
inference(subst,[],[refute_0_228:[bind(X_24,$fot(X_8))]]) ).
cnf(refute_0_231,plain,
divide(divide(inverse(Y),X_8),X_9) = divide(divide(inverse(Y),X_8),X_9),
introduced(tautology,[refl,[$fot(divide(divide(inverse(Y),X_8),X_9))]]) ).
cnf(refute_0_232,plain,
( divide(divide(inverse(Y),X_8),X_9) != divide(divide(inverse(Y),X_8),X_9)
| divide(inverse(Y),X_8) != inverse(multiply(X_8,Y))
| divide(divide(inverse(Y),X_8),X_9) = divide(inverse(multiply(X_8,Y)),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(inverse(Y),X_8),X_9),divide(divide(inverse(Y),X_8),X_9)) ),[1,0],$fot(inverse(multiply(X_8,Y)))]]) ).
cnf(refute_0_233,plain,
( divide(inverse(Y),X_8) != inverse(multiply(X_8,Y))
| divide(divide(inverse(Y),X_8),X_9) = divide(inverse(multiply(X_8,Y)),X_9) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(Y),X_8),X_9),divide(divide(inverse(Y),X_8),X_9)) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
divide(divide(inverse(Y),X_8),X_9) = divide(inverse(multiply(X_8,Y)),X_9),
inference(resolve,[$cnf( $equal(divide(inverse(Y),X_8),inverse(multiply(X_8,Y))) )],[refute_0_230,refute_0_233]) ).
cnf(refute_0_235,plain,
( divide(divide(inverse(Y),X_8),X_9) != divide(inverse(multiply(X_8,Y)),X_9)
| divide(inverse(multiply(X_8,Y)),X_9) != inverse(multiply(X_9,multiply(X_8,Y)))
| divide(divide(inverse(Y),X_8),X_9) = inverse(multiply(X_9,multiply(X_8,Y))) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(divide(divide(inverse(Y),X_8),X_9))),bind(Y0,$fot(divide(inverse(multiply(X_8,Y)),X_9))),bind(Z0,$fot(inverse(multiply(X_9,multiply(X_8,Y)))))]]) ).
cnf(refute_0_236,plain,
( divide(inverse(multiply(X_8,Y)),X_9) != inverse(multiply(X_9,multiply(X_8,Y)))
| divide(divide(inverse(Y),X_8),X_9) = inverse(multiply(X_9,multiply(X_8,Y))) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(Y),X_8),X_9),divide(inverse(multiply(X_8,Y)),X_9)) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
divide(divide(inverse(Y),X_8),X_9) = inverse(multiply(X_9,multiply(X_8,Y))),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(X_8,Y)),X_9),inverse(multiply(X_9,multiply(X_8,Y)))) )],[refute_0_229,refute_0_236]) ).
cnf(refute_0_238,plain,
multiply(divide(divide(inverse(Y),X_8),X_9),Y) = multiply(divide(divide(inverse(Y),X_8),X_9),Y),
introduced(tautology,[refl,[$fot(multiply(divide(divide(inverse(Y),X_8),X_9),Y))]]) ).
cnf(refute_0_239,plain,
( multiply(divide(divide(inverse(Y),X_8),X_9),Y) != multiply(divide(divide(inverse(Y),X_8),X_9),Y)
| divide(divide(inverse(Y),X_8),X_9) != inverse(multiply(X_9,multiply(X_8,Y)))
| multiply(divide(divide(inverse(Y),X_8),X_9),Y) = multiply(inverse(multiply(X_9,multiply(X_8,Y))),Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(divide(inverse(Y),X_8),X_9),Y),multiply(divide(divide(inverse(Y),X_8),X_9),Y)) ),[1,0],$fot(inverse(multiply(X_9,multiply(X_8,Y))))]]) ).
cnf(refute_0_240,plain,
( divide(divide(inverse(Y),X_8),X_9) != inverse(multiply(X_9,multiply(X_8,Y)))
| multiply(divide(divide(inverse(Y),X_8),X_9),Y) = multiply(inverse(multiply(X_9,multiply(X_8,Y))),Y) ),
inference(resolve,[$cnf( $equal(multiply(divide(divide(inverse(Y),X_8),X_9),Y),multiply(divide(divide(inverse(Y),X_8),X_9),Y)) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
multiply(divide(divide(inverse(Y),X_8),X_9),Y) = multiply(inverse(multiply(X_9,multiply(X_8,Y))),Y),
inference(resolve,[$cnf( $equal(divide(divide(inverse(Y),X_8),X_9),inverse(multiply(X_9,multiply(X_8,Y)))) )],[refute_0_237,refute_0_240]) ).
cnf(refute_0_242,plain,
( multiply(divide(divide(inverse(Y),X_8),X_9),Y) != multiply(inverse(multiply(X_9,multiply(X_8,Y))),Y)
| multiply(inverse(multiply(X_9,multiply(X_8,Y))),Y) != divide(Y,multiply(X_9,multiply(X_8,Y)))
| multiply(divide(divide(inverse(Y),X_8),X_9),Y) = divide(Y,multiply(X_9,multiply(X_8,Y))) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(divide(divide(inverse(Y),X_8),X_9),Y))),bind(Y0,$fot(multiply(inverse(multiply(X_9,multiply(X_8,Y))),Y))),bind(Z0,$fot(divide(Y,multiply(X_9,multiply(X_8,Y)))))]]) ).
cnf(refute_0_243,plain,
( multiply(inverse(multiply(X_9,multiply(X_8,Y))),Y) != divide(Y,multiply(X_9,multiply(X_8,Y)))
| multiply(divide(divide(inverse(Y),X_8),X_9),Y) = divide(Y,multiply(X_9,multiply(X_8,Y))) ),
inference(resolve,[$cnf( $equal(multiply(divide(divide(inverse(Y),X_8),X_9),Y),multiply(inverse(multiply(X_9,multiply(X_8,Y))),Y)) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
multiply(divide(divide(inverse(Y),X_8),X_9),Y) = divide(Y,multiply(X_9,multiply(X_8,Y))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_9,multiply(X_8,Y))),Y),divide(Y,multiply(X_9,multiply(X_8,Y)))) )],[refute_0_177,refute_0_243]) ).
cnf(refute_0_245,plain,
multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9) = multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9),
introduced(tautology,[refl,[$fot(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9))]]) ).
cnf(refute_0_246,plain,
( multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9) != multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9)
| multiply(divide(divide(inverse(Y),X_8),X_9),Y) != divide(Y,multiply(X_9,multiply(X_8,Y)))
| multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9) = multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9),multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9)) ),[1,0],$fot(divide(Y,multiply(X_9,multiply(X_8,Y))))]]) ).
cnf(refute_0_247,plain,
( multiply(divide(divide(inverse(Y),X_8),X_9),Y) != divide(Y,multiply(X_9,multiply(X_8,Y)))
| multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9) = multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9) ),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9),multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9)) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9) = multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9),
inference(resolve,[$cnf( $equal(multiply(divide(divide(inverse(Y),X_8),X_9),Y),divide(Y,multiply(X_9,multiply(X_8,Y)))) )],[refute_0_244,refute_0_247]) ).
cnf(refute_0_249,plain,
inverse(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9)) = inverse(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9)))]]) ).
cnf(refute_0_250,plain,
( multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9) != multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9)
| inverse(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9)) != inverse(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9))
| inverse(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9)) = inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9)),inverse(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9))) ),[1,0],$fot(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9))]]) ).
cnf(refute_0_251,plain,
( multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9) != multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9)
| inverse(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9)) = inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9)),inverse(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
inverse(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9)) = inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9)),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9),multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9)) )],[refute_0_248,refute_0_251]) ).
cnf(refute_0_253,plain,
divide(inverse(X_9),multiply(divide(divide(inverse(Y),X_8),X_9),Y)) = inverse(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9)),
inference(subst,[],[refute_0_228:[bind(Y,$fot(X_9)),bind(X_24,$fot(multiply(divide(divide(inverse(Y),X_8),X_9),Y)))]]) ).
cnf(refute_0_254,plain,
( divide(inverse(X_9),multiply(divide(divide(inverse(Y),X_8),X_9),Y)) != inverse(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9))
| inverse(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9)) != inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9))
| divide(inverse(X_9),multiply(divide(divide(inverse(Y),X_8),X_9),Y)) = inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9)) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(divide(inverse(X_9),multiply(divide(divide(inverse(Y),X_8),X_9),Y)))),bind(Y0,$fot(inverse(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9)))),bind(Z0,$fot(inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9))))]]) ).
cnf(refute_0_255,plain,
( inverse(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9)) != inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9))
| divide(inverse(X_9),multiply(divide(divide(inverse(Y),X_8),X_9),Y)) = inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_9),multiply(divide(divide(inverse(Y),X_8),X_9),Y)),inverse(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9))) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
divide(inverse(X_9),multiply(divide(divide(inverse(Y),X_8),X_9),Y)) = inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(divide(divide(inverse(Y),X_8),X_9),Y),X_9)),inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9))) )],[refute_0_252,refute_0_255]) ).
cnf(refute_0_257,plain,
( divide(inverse(X_9),multiply(divide(divide(inverse(Y),X_8),X_9),Y)) != X_8
| divide(inverse(X_9),multiply(divide(divide(inverse(Y),X_8),X_9),Y)) != inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9))
| inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_9),multiply(divide(divide(inverse(Y),X_8),X_9),Y)),X_8) ),[0],$fot(inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9)))]]) ).
cnf(refute_0_258,plain,
( divide(inverse(X_9),multiply(divide(divide(inverse(Y),X_8),X_9),Y)) != X_8
| inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9)) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_9),multiply(divide(divide(inverse(Y),X_8),X_9),Y)),inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9))) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9)) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(X_9),multiply(divide(divide(inverse(Y),X_8),X_9),Y)),X_8) )],[refute_0_176,refute_0_258]) ).
cnf(refute_0_260,plain,
divide(inverse(X_21),X_9) = inverse(multiply(X_9,X_21)),
inference(subst,[],[refute_0_228:[bind(Y,$fot(X_21)),bind(X_24,$fot(X_9))]]) ).
cnf(refute_0_261,plain,
( divide(inverse(X_21),X_9) != divide(inverse(X_9),X_21)
| divide(inverse(X_21),X_9) != inverse(multiply(X_9,X_21))
| inverse(multiply(X_9,X_21)) = divide(inverse(X_9),X_21) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_21),X_9),divide(inverse(X_9),X_21)) ),[0],$fot(inverse(multiply(X_9,X_21)))]]) ).
cnf(refute_0_262,plain,
( divide(inverse(X_21),X_9) != divide(inverse(X_9),X_21)
| inverse(multiply(X_9,X_21)) = divide(inverse(X_9),X_21) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_21),X_9),inverse(multiply(X_9,X_21))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
divide(inverse(X_9),X_21) = inverse(multiply(X_21,X_9)),
inference(subst,[],[refute_0_228:[bind(Y,$fot(X_9)),bind(X_24,$fot(X_21))]]) ).
cnf(refute_0_264,plain,
( divide(inverse(X_9),X_21) != inverse(multiply(X_21,X_9))
| inverse(multiply(X_9,X_21)) != divide(inverse(X_9),X_21)
| inverse(multiply(X_9,X_21)) = inverse(multiply(X_21,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_9,X_21)),divide(inverse(X_9),X_21)) ),[1],$fot(inverse(multiply(X_21,X_9)))]]) ).
cnf(refute_0_265,plain,
( inverse(multiply(X_9,X_21)) != divide(inverse(X_9),X_21)
| inverse(multiply(X_9,X_21)) = inverse(multiply(X_21,X_9)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_9),X_21),inverse(multiply(X_21,X_9))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
( divide(inverse(X_21),X_9) != divide(inverse(X_9),X_21)
| inverse(multiply(X_9,X_21)) = inverse(multiply(X_21,X_9)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_9,X_21)),divide(inverse(X_9),X_21)) )],[refute_0_262,refute_0_265]) ).
cnf(refute_0_267,plain,
inverse(multiply(X_9,X_21)) = inverse(multiply(X_21,X_9)),
inference(resolve,[$cnf( $equal(divide(inverse(X_21),X_9),divide(inverse(X_9),X_21)) )],[refute_0_170,refute_0_266]) ).
cnf(refute_0_268,plain,
( inverse(multiply(X_9,X_21)) != inverse(multiply(X_21,X_9))
| inverse(multiply(X_21,X_9)) = inverse(multiply(X_9,X_21)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_9,X_21)))),bind(Y0,$fot(inverse(multiply(X_21,X_9))))]]) ).
cnf(refute_0_269,plain,
inverse(multiply(X_21,X_9)) = inverse(multiply(X_9,X_21)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_9,X_21)),inverse(multiply(X_21,X_9))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9)) = inverse(multiply(X_9,divide(Y,multiply(X_9,multiply(X_8,Y))))),
inference(subst,[],[refute_0_269:[bind(X_21,$fot(divide(Y,multiply(X_9,multiply(X_8,Y)))))]]) ).
cnf(refute_0_271,plain,
( inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9)) != X_8
| inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9)) != inverse(multiply(X_9,divide(Y,multiply(X_9,multiply(X_8,Y)))))
| inverse(multiply(X_9,divide(Y,multiply(X_9,multiply(X_8,Y))))) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9)),X_8) ),[0],$fot(inverse(multiply(X_9,divide(Y,multiply(X_9,multiply(X_8,Y))))))]]) ).
cnf(refute_0_272,plain,
( inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9)) != X_8
| inverse(multiply(X_9,divide(Y,multiply(X_9,multiply(X_8,Y))))) = X_8 ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9)),inverse(multiply(X_9,divide(Y,multiply(X_9,multiply(X_8,Y)))))) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
inverse(multiply(X_9,divide(Y,multiply(X_9,multiply(X_8,Y))))) = X_8,
inference(resolve,[$cnf( $equal(inverse(multiply(divide(Y,multiply(X_9,multiply(X_8,Y))),X_9)),X_8) )],[refute_0_259,refute_0_272]) ).
cnf(refute_0_274,plain,
inverse(multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))) = X_40,
inference(subst,[],[refute_0_273:[bind(Y,$fot(X_39)),bind(X_8,$fot(X_40)),bind(X_9,$fot(X_41))]]) ).
cnf(refute_0_275,plain,
( multiply(inverse(multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))),X_12) != divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))))
| inverse(multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))) != X_40
| multiply(X_40,X_12) = divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))),X_12),divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))))) ),[0,0],$fot(X_40)]]) ).
cnf(refute_0_276,plain,
( multiply(inverse(multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))),X_12) != divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))))
| multiply(X_40,X_12) = divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))),X_40) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
multiply(X_40,X_12) = divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))),X_12),divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))))) )],[refute_0_137,refute_0_276]) ).
cnf(refute_0_278,plain,
divide(X_12,inverse(X_40)) = multiply(X_12,X_40),
inference(subst,[],[refute_0_59:[bind(X,$fot(X_12)),bind(Y,$fot(X_40))]]) ).
cnf(refute_0_279,plain,
inverse(inverse(multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))))) = multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))),
inference(subst,[],[refute_0_128:[bind(X_13,$fot(multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))))]]) ).
cnf(refute_0_280,plain,
( inverse(multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))) != X_40
| inverse(inverse(multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))))) != multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))
| inverse(X_40) = multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))))),multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))) ),[0,0],$fot(X_40)]]) ).
cnf(refute_0_281,plain,
( inverse(inverse(multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))))) != multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))
| inverse(X_40) = multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))),X_40) )],[refute_0_274,refute_0_280]) ).
cnf(refute_0_282,plain,
inverse(X_40) = multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))))),multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))) )],[refute_0_279,refute_0_281]) ).
cnf(refute_0_283,plain,
( inverse(X_40) != multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))
| multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))) = inverse(X_40) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_40))),bind(Y0,$fot(multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))))]]) ).
cnf(refute_0_284,plain,
multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))) = inverse(X_40),
inference(resolve,[$cnf( $equal(inverse(X_40),multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))) = divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))),
introduced(tautology,[refl,[$fot(divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))))]]) ).
cnf(refute_0_286,plain,
( multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))) != inverse(X_40)
| divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))) != divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))))
| divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))) = divide(X_12,inverse(X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))),divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))))) ),[1,1],$fot(inverse(X_40))]]) ).
cnf(refute_0_287,plain,
( multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))) != inverse(X_40)
| divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))) = divide(X_12,inverse(X_40)) ),
inference(resolve,[$cnf( $equal(divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))),divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))) = divide(X_12,inverse(X_40)),
inference(resolve,[$cnf( $equal(multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))),inverse(X_40)) )],[refute_0_284,refute_0_287]) ).
cnf(refute_0_289,plain,
( divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))) != divide(X_12,inverse(X_40))
| divide(X_12,inverse(X_40)) != multiply(X_12,X_40)
| divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))) = multiply(X_12,X_40) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))))),bind(Y0,$fot(divide(X_12,inverse(X_40)))),bind(Z0,$fot(multiply(X_12,X_40)))]]) ).
cnf(refute_0_290,plain,
( divide(X_12,inverse(X_40)) != multiply(X_12,X_40)
| divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))) = multiply(X_12,X_40) ),
inference(resolve,[$cnf( $equal(divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))),divide(X_12,inverse(X_40))) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))) = multiply(X_12,X_40),
inference(resolve,[$cnf( $equal(divide(X_12,inverse(X_40)),multiply(X_12,X_40)) )],[refute_0_278,refute_0_290]) ).
cnf(refute_0_292,plain,
( multiply(X_40,X_12) != divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))))
| divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))) != multiply(X_12,X_40)
| multiply(X_40,X_12) = multiply(X_12,X_40) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_40,X_12),multiply(X_12,X_40)) ),[0],$fot(divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))))]]) ).
cnf(refute_0_293,plain,
( multiply(X_40,X_12) != divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))))
| multiply(X_40,X_12) = multiply(X_12,X_40) ),
inference(resolve,[$cnf( $equal(divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39))))),multiply(X_12,X_40)) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
multiply(X_40,X_12) = multiply(X_12,X_40),
inference(resolve,[$cnf( $equal(multiply(X_40,X_12),divide(X_12,multiply(X_41,divide(X_39,multiply(X_41,multiply(X_40,X_39)))))) )],[refute_0_277,refute_0_293]) ).
cnf(refute_0_295,plain,
( multiply(X_40,X_12) != multiply(X_12,X_40)
| multiply(X_12,X_40) = multiply(X_40,X_12) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_40,X_12))),bind(Y0,$fot(multiply(X_12,X_40)))]]) ).
cnf(refute_0_296,plain,
multiply(X_12,X_40) = multiply(X_40,X_12),
inference(resolve,[$cnf( $equal(multiply(X_40,X_12),multiply(X_12,X_40)) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(subst,[],[refute_0_296:[bind(X_12,$fot(inverse(a1))),bind(X_40,$fot(a1))]]) ).
cnf(refute_0_298,plain,
( multiply(a1,inverse(a1)) != identity
| multiply(inverse(a1),a1) != multiply(a1,inverse(a1))
| multiply(inverse(a1),a1) = identity ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(inverse(a1),a1))),bind(Y0,$fot(multiply(a1,inverse(a1)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_299,plain,
( multiply(a1,inverse(a1)) != identity
| multiply(inverse(a1),a1) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
multiply(inverse(a1),a1) = identity,
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),identity) )],[refute_0_136,refute_0_299]) ).
cnf(refute_0_301,plain,
( multiply(inverse(a1),a1) != identity
| identity != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) ),[0],$fot(identity)]]) ).
cnf(refute_0_302,plain,
( identity != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
divide(b1,b1) = identity,
inference(subst,[],[refute_0_4:[bind(X,$fot(b1))]]) ).
cnf(refute_0_304,plain,
multiply(b1,inverse(b1)) = divide(b1,b1),
inference(subst,[],[refute_0_132:[bind(X,$fot(b1)),bind(X_14,$fot(b1))]]) ).
cnf(refute_0_305,plain,
( multiply(b1,inverse(b1)) != divide(b1,b1)
| divide(b1,b1) != identity
| multiply(b1,inverse(b1)) = identity ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(b1,inverse(b1)))),bind(Y0,$fot(divide(b1,b1))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_306,plain,
( divide(b1,b1) != identity
| multiply(b1,inverse(b1)) = identity ),
inference(resolve,[$cnf( $equal(multiply(b1,inverse(b1)),divide(b1,b1)) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
multiply(b1,inverse(b1)) = identity,
inference(resolve,[$cnf( $equal(divide(b1,b1),identity) )],[refute_0_303,refute_0_306]) ).
cnf(refute_0_308,plain,
multiply(inverse(b1),b1) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_296:[bind(X_12,$fot(inverse(b1))),bind(X_40,$fot(b1))]]) ).
cnf(refute_0_309,plain,
( multiply(b1,inverse(b1)) != identity
| multiply(inverse(b1),b1) != multiply(b1,inverse(b1))
| multiply(inverse(b1),b1) = identity ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(inverse(b1),b1))),bind(Y0,$fot(multiply(b1,inverse(b1)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_310,plain,
( multiply(b1,inverse(b1)) != identity
| multiply(inverse(b1),b1) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),multiply(b1,inverse(b1))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
multiply(inverse(b1),b1) = identity,
inference(resolve,[$cnf( $equal(multiply(b1,inverse(b1)),identity) )],[refute_0_307,refute_0_310]) ).
cnf(refute_0_312,plain,
( multiply(inverse(b1),b1) != identity
| identity != identity
| identity = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(identity,multiply(inverse(b1),b1)) ),[1],$fot(identity)]]) ).
cnf(refute_0_313,plain,
( identity != identity
| identity = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),identity) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
( identity != identity
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(identity,multiply(inverse(b1),b1)) )],[refute_0_313,refute_0_302]) ).
cnf(refute_0_315,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a4,b4) != multiply(b4,a4)
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_314,prove_these_axioms]) ).
cnf(refute_0_316,plain,
multiply(b4,a4) = multiply(a4,b4),
inference(subst,[],[refute_0_296:[bind(X_12,$fot(b4)),bind(X_40,$fot(a4))]]) ).
cnf(refute_0_317,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(b4,a4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a4,b4),multiply(b4,a4)) ),[1],$fot(multiply(a4,b4))]]) ).
cnf(refute_0_318,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(b4,a4),multiply(a4,b4)) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a4,b4) != multiply(a4,b4)
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(b4,a4)) )],[refute_0_318,refute_0_315]) ).
cnf(refute_0_320,plain,
multiply(a2,identity) = a2,
inference(subst,[],[refute_0_105:[bind(X_13,$fot(a2))]]) ).
cnf(refute_0_321,plain,
divide(b2,b2) = identity,
inference(subst,[],[refute_0_4:[bind(X,$fot(b2))]]) ).
cnf(refute_0_322,plain,
multiply(a2,divide(b2,b2)) = multiply(a2,divide(b2,b2)),
introduced(tautology,[refl,[$fot(multiply(a2,divide(b2,b2)))]]) ).
cnf(refute_0_323,plain,
( multiply(a2,divide(b2,b2)) != multiply(a2,divide(b2,b2))
| divide(b2,b2) != identity
| multiply(a2,divide(b2,b2)) = multiply(a2,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a2,divide(b2,b2)),multiply(a2,divide(b2,b2))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_324,plain,
( divide(b2,b2) != identity
| multiply(a2,divide(b2,b2)) = multiply(a2,identity) ),
inference(resolve,[$cnf( $equal(multiply(a2,divide(b2,b2)),multiply(a2,divide(b2,b2))) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
multiply(a2,divide(b2,b2)) = multiply(a2,identity),
inference(resolve,[$cnf( $equal(divide(b2,b2),identity) )],[refute_0_321,refute_0_324]) ).
cnf(refute_0_326,plain,
( multiply(a2,divide(b2,b2)) != multiply(a2,identity)
| multiply(a2,identity) != a2
| multiply(a2,divide(b2,b2)) = a2 ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(a2,divide(b2,b2)))),bind(Y0,$fot(multiply(a2,identity))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_327,plain,
( multiply(a2,identity) != a2
| multiply(a2,divide(b2,b2)) = a2 ),
inference(resolve,[$cnf( $equal(multiply(a2,divide(b2,b2)),multiply(a2,identity)) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
multiply(a2,divide(b2,b2)) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,identity),a2) )],[refute_0_320,refute_0_327]) ).
cnf(refute_0_329,plain,
inverse(divide(X_10,divide(X_52,X_51))) = divide(divide(X_52,X_51),X_10),
inference(subst,[],[refute_0_219:[bind(X_22,$fot(divide(X_52,X_51)))]]) ).
cnf(refute_0_330,plain,
multiply(X,divide(X_24,X_25)) = divide(X,inverse(divide(X_24,X_25))),
inference(subst,[],[refute_0_15:[bind(Y,$fot(divide(X_24,X_25)))]]) ).
cnf(refute_0_331,plain,
inverse(divide(X_24,X_25)) = divide(X_25,X_24),
inference(subst,[],[refute_0_219:[bind(X_10,$fot(X_24)),bind(X_22,$fot(X_25))]]) ).
cnf(refute_0_332,plain,
( multiply(X,divide(X_24,X_25)) != divide(X,inverse(divide(X_24,X_25)))
| inverse(divide(X_24,X_25)) != divide(X_25,X_24)
| multiply(X,divide(X_24,X_25)) = divide(X,divide(X_25,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,divide(X_24,X_25)),divide(X,inverse(divide(X_24,X_25)))) ),[1,1],$fot(divide(X_25,X_24))]]) ).
cnf(refute_0_333,plain,
( multiply(X,divide(X_24,X_25)) != divide(X,inverse(divide(X_24,X_25)))
| multiply(X,divide(X_24,X_25)) = divide(X,divide(X_25,X_24)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_24,X_25)),divide(X_25,X_24)) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
multiply(X,divide(X_24,X_25)) = divide(X,divide(X_25,X_24)),
inference(resolve,[$cnf( $equal(multiply(X,divide(X_24,X_25)),divide(X,inverse(divide(X_24,X_25)))) )],[refute_0_330,refute_0_333]) ).
cnf(refute_0_335,plain,
multiply(X_10,divide(X_51,X_52)) = divide(X_10,divide(X_52,X_51)),
inference(subst,[],[refute_0_334:[bind(X,$fot(X_10)),bind(X_24,$fot(X_51)),bind(X_25,$fot(X_52))]]) ).
cnf(refute_0_336,plain,
( multiply(X_10,divide(X_51,X_52)) != divide(X_10,divide(X_52,X_51))
| divide(X_10,divide(X_52,X_51)) = multiply(X_10,divide(X_51,X_52)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_10,divide(X_51,X_52)))),bind(Y0,$fot(divide(X_10,divide(X_52,X_51))))]]) ).
cnf(refute_0_337,plain,
divide(X_10,divide(X_52,X_51)) = multiply(X_10,divide(X_51,X_52)),
inference(resolve,[$cnf( $equal(multiply(X_10,divide(X_51,X_52)),divide(X_10,divide(X_52,X_51))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
( divide(X_10,divide(X_52,X_51)) != multiply(X_10,divide(X_51,X_52))
| inverse(divide(X_10,divide(X_52,X_51))) != divide(divide(X_52,X_51),X_10)
| inverse(multiply(X_10,divide(X_51,X_52))) = divide(divide(X_52,X_51),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_10,divide(X_52,X_51))),divide(divide(X_52,X_51),X_10)) ),[0,0],$fot(multiply(X_10,divide(X_51,X_52)))]]) ).
cnf(refute_0_339,plain,
( inverse(divide(X_10,divide(X_52,X_51))) != divide(divide(X_52,X_51),X_10)
| inverse(multiply(X_10,divide(X_51,X_52))) = divide(divide(X_52,X_51),X_10) ),
inference(resolve,[$cnf( $equal(divide(X_10,divide(X_52,X_51)),multiply(X_10,divide(X_51,X_52))) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
inverse(multiply(X_10,divide(X_51,X_52))) = divide(divide(X_52,X_51),X_10),
inference(resolve,[$cnf( $equal(inverse(divide(X_10,divide(X_52,X_51))),divide(divide(X_52,X_51),X_10)) )],[refute_0_329,refute_0_339]) ).
cnf(refute_0_341,plain,
divide(inverse(inverse(X_12)),divide(X_12,inverse(Y))) = inverse(Y),
inference(subst,[],[refute_0_43:[bind(X_7,$fot(X_12)),bind(X_8,$fot(inverse(Y)))]]) ).
cnf(refute_0_342,plain,
multiply(X_12,Y) = divide(X_12,inverse(Y)),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_12))]]) ).
cnf(refute_0_343,plain,
( multiply(X_12,Y) != divide(X_12,inverse(Y))
| divide(X_12,inverse(Y)) = multiply(X_12,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_12,Y))),bind(Y0,$fot(divide(X_12,inverse(Y))))]]) ).
cnf(refute_0_344,plain,
divide(X_12,inverse(Y)) = multiply(X_12,Y),
inference(resolve,[$cnf( $equal(multiply(X_12,Y),divide(X_12,inverse(Y))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
( divide(X_12,inverse(Y)) != multiply(X_12,Y)
| divide(inverse(inverse(X_12)),divide(X_12,inverse(Y))) != inverse(Y)
| divide(inverse(inverse(X_12)),multiply(X_12,Y)) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_12)),divide(X_12,inverse(Y))),inverse(Y)) ),[0,1],$fot(multiply(X_12,Y))]]) ).
cnf(refute_0_346,plain,
( divide(inverse(inverse(X_12)),divide(X_12,inverse(Y))) != inverse(Y)
| divide(inverse(inverse(X_12)),multiply(X_12,Y)) = inverse(Y) ),
inference(resolve,[$cnf( $equal(divide(X_12,inverse(Y)),multiply(X_12,Y)) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
divide(inverse(inverse(X_12)),multiply(X_12,Y)) = inverse(Y),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_12)),divide(X_12,inverse(Y))),inverse(Y)) )],[refute_0_341,refute_0_346]) ).
cnf(refute_0_348,plain,
inverse(inverse(X_12)) = X_12,
inference(subst,[],[refute_0_128:[bind(X_13,$fot(X_12))]]) ).
cnf(refute_0_349,plain,
divide(inverse(inverse(X_12)),multiply(X_12,Y)) = divide(inverse(inverse(X_12)),multiply(X_12,Y)),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(X_12)),multiply(X_12,Y)))]]) ).
cnf(refute_0_350,plain,
( divide(inverse(inverse(X_12)),multiply(X_12,Y)) != divide(inverse(inverse(X_12)),multiply(X_12,Y))
| inverse(inverse(X_12)) != X_12
| divide(inverse(inverse(X_12)),multiply(X_12,Y)) = divide(X_12,multiply(X_12,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_12)),multiply(X_12,Y)),divide(inverse(inverse(X_12)),multiply(X_12,Y))) ),[1,0],$fot(X_12)]]) ).
cnf(refute_0_351,plain,
( inverse(inverse(X_12)) != X_12
| divide(inverse(inverse(X_12)),multiply(X_12,Y)) = divide(X_12,multiply(X_12,Y)) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_12)),multiply(X_12,Y)),divide(inverse(inverse(X_12)),multiply(X_12,Y))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
divide(inverse(inverse(X_12)),multiply(X_12,Y)) = divide(X_12,multiply(X_12,Y)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_12)),X_12) )],[refute_0_348,refute_0_351]) ).
cnf(refute_0_353,plain,
( divide(inverse(inverse(X_12)),multiply(X_12,Y)) != divide(X_12,multiply(X_12,Y))
| divide(inverse(inverse(X_12)),multiply(X_12,Y)) != inverse(Y)
| divide(X_12,multiply(X_12,Y)) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_12)),multiply(X_12,Y)),inverse(Y)) ),[0],$fot(divide(X_12,multiply(X_12,Y)))]]) ).
cnf(refute_0_354,plain,
( divide(inverse(inverse(X_12)),multiply(X_12,Y)) != inverse(Y)
| divide(X_12,multiply(X_12,Y)) = inverse(Y) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_12)),multiply(X_12,Y)),divide(X_12,multiply(X_12,Y))) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
divide(X_12,multiply(X_12,Y)) = inverse(Y),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_12)),multiply(X_12,Y)),inverse(Y)) )],[refute_0_347,refute_0_354]) ).
cnf(refute_0_356,plain,
divide(X_12,multiply(X_12,multiply(X_78,divide(X_76,X_12)))) = inverse(multiply(X_78,divide(X_76,X_12))),
inference(subst,[],[refute_0_355:[bind(Y,$fot(multiply(X_78,divide(X_76,X_12))))]]) ).
cnf(refute_0_357,plain,
multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y) = divide(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),inverse(Y)),
inference(subst,[],[refute_0_15:[bind(X,$fot(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7))))]]) ).
cnf(refute_0_358,plain,
divide(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),inverse(Y)) = X_8,
inference(subst,[],[refute_0_24:[bind(X,$fot(X_7)),bind(Y,$fot(X_8)),bind(Z,$fot(inverse(Y)))]]) ).
cnf(refute_0_359,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y) != divide(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),inverse(Y))
| divide(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),inverse(Y)) != X_8
| multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y) = X_8 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y),X_8) ),[0],$fot(divide(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),inverse(Y)))]]) ).
cnf(refute_0_360,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y) != divide(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),inverse(Y))
| multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),inverse(Y)),X_8) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y),divide(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),inverse(Y))) )],[refute_0_357,refute_0_360]) ).
cnf(refute_0_362,plain,
divide(divide(X_7,X_8),inverse(Y)) = multiply(divide(X_7,X_8),Y),
inference(subst,[],[refute_0_59:[bind(X,$fot(divide(X_7,X_8)))]]) ).
cnf(refute_0_363,plain,
divide(divide(divide(X_7,X_8),inverse(Y)),X_7) = divide(divide(divide(X_7,X_8),inverse(Y)),X_7),
introduced(tautology,[refl,[$fot(divide(divide(divide(X_7,X_8),inverse(Y)),X_7))]]) ).
cnf(refute_0_364,plain,
( divide(divide(X_7,X_8),inverse(Y)) != multiply(divide(X_7,X_8),Y)
| divide(divide(divide(X_7,X_8),inverse(Y)),X_7) != divide(divide(divide(X_7,X_8),inverse(Y)),X_7)
| divide(divide(divide(X_7,X_8),inverse(Y)),X_7) = divide(multiply(divide(X_7,X_8),Y),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_7,X_8),inverse(Y)),X_7),divide(divide(divide(X_7,X_8),inverse(Y)),X_7)) ),[1,0],$fot(multiply(divide(X_7,X_8),Y))]]) ).
cnf(refute_0_365,plain,
( divide(divide(X_7,X_8),inverse(Y)) != multiply(divide(X_7,X_8),Y)
| divide(divide(divide(X_7,X_8),inverse(Y)),X_7) = divide(multiply(divide(X_7,X_8),Y),X_7) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_7,X_8),inverse(Y)),X_7),divide(divide(divide(X_7,X_8),inverse(Y)),X_7)) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
divide(divide(divide(X_7,X_8),inverse(Y)),X_7) = divide(multiply(divide(X_7,X_8),Y),X_7),
inference(resolve,[$cnf( $equal(divide(divide(X_7,X_8),inverse(Y)),multiply(divide(X_7,X_8),Y)) )],[refute_0_362,refute_0_365]) ).
cnf(refute_0_367,plain,
inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)) = inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),
introduced(tautology,[refl,[$fot(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)))]]) ).
cnf(refute_0_368,plain,
( divide(divide(divide(X_7,X_8),inverse(Y)),X_7) != divide(multiply(divide(X_7,X_8),Y),X_7)
| inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)) != inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7))
| inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)) = inverse(divide(multiply(divide(X_7,X_8),Y),X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7))) ),[1,0],$fot(divide(multiply(divide(X_7,X_8),Y),X_7))]]) ).
cnf(refute_0_369,plain,
( divide(divide(divide(X_7,X_8),inverse(Y)),X_7) != divide(multiply(divide(X_7,X_8),Y),X_7)
| inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)) = inverse(divide(multiply(divide(X_7,X_8),Y),X_7)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)) = inverse(divide(multiply(divide(X_7,X_8),Y),X_7)),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_7,X_8),inverse(Y)),X_7),divide(multiply(divide(X_7,X_8),Y),X_7)) )],[refute_0_366,refute_0_369]) ).
cnf(refute_0_371,plain,
multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y) = multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y),
introduced(tautology,[refl,[$fot(multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y))]]) ).
cnf(refute_0_372,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y) != multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y)
| inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)) != inverse(divide(multiply(divide(X_7,X_8),Y),X_7))
| multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y) = multiply(inverse(divide(multiply(divide(X_7,X_8),Y),X_7)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y),multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y)) ),[1,0],$fot(inverse(divide(multiply(divide(X_7,X_8),Y),X_7)))]]) ).
cnf(refute_0_373,plain,
( inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)) != inverse(divide(multiply(divide(X_7,X_8),Y),X_7))
| multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y) = multiply(inverse(divide(multiply(divide(X_7,X_8),Y),X_7)),Y) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y),multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y)) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y) = multiply(inverse(divide(multiply(divide(X_7,X_8),Y),X_7)),Y),
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),inverse(divide(multiply(divide(X_7,X_8),Y),X_7))) )],[refute_0_370,refute_0_373]) ).
cnf(refute_0_375,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y) != X_8
| multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y) != multiply(inverse(divide(multiply(divide(X_7,X_8),Y),X_7)),Y)
| multiply(inverse(divide(multiply(divide(X_7,X_8),Y),X_7)),Y) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y),X_8) ),[0],$fot(multiply(inverse(divide(multiply(divide(X_7,X_8),Y),X_7)),Y))]]) ).
cnf(refute_0_376,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y) != X_8
| multiply(inverse(divide(multiply(divide(X_7,X_8),Y),X_7)),Y) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y),multiply(inverse(divide(multiply(divide(X_7,X_8),Y),X_7)),Y)) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
multiply(inverse(divide(multiply(divide(X_7,X_8),Y),X_7)),Y) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),inverse(Y)),X_7)),Y),X_8) )],[refute_0_361,refute_0_376]) ).
cnf(refute_0_378,plain,
multiply(inverse(divide(multiply(divide(X_7,X_8),Y),X_7)),Y) = divide(Y,divide(multiply(divide(X_7,X_8),Y),X_7)),
inference(subst,[],[refute_0_92:[bind(X_12,$fot(Y)),bind(X_13,$fot(divide(multiply(divide(X_7,X_8),Y),X_7)))]]) ).
cnf(refute_0_379,plain,
( multiply(inverse(divide(multiply(divide(X_7,X_8),Y),X_7)),Y) != X_8
| multiply(inverse(divide(multiply(divide(X_7,X_8),Y),X_7)),Y) != divide(Y,divide(multiply(divide(X_7,X_8),Y),X_7))
| divide(Y,divide(multiply(divide(X_7,X_8),Y),X_7)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(multiply(divide(X_7,X_8),Y),X_7)),Y),X_8) ),[0],$fot(divide(Y,divide(multiply(divide(X_7,X_8),Y),X_7)))]]) ).
cnf(refute_0_380,plain,
( multiply(inverse(divide(multiply(divide(X_7,X_8),Y),X_7)),Y) != X_8
| divide(Y,divide(multiply(divide(X_7,X_8),Y),X_7)) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(multiply(divide(X_7,X_8),Y),X_7)),Y),divide(Y,divide(multiply(divide(X_7,X_8),Y),X_7))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
divide(Y,divide(multiply(divide(X_7,X_8),Y),X_7)) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(multiply(divide(X_7,X_8),Y),X_7)),Y),X_8) )],[refute_0_377,refute_0_380]) ).
cnf(refute_0_382,plain,
( multiply(X,divide(X_24,X_25)) != divide(X,divide(X_25,X_24))
| divide(X,divide(X_25,X_24)) = multiply(X,divide(X_24,X_25)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,divide(X_24,X_25)))),bind(Y0,$fot(divide(X,divide(X_25,X_24))))]]) ).
cnf(refute_0_383,plain,
divide(X,divide(X_25,X_24)) = multiply(X,divide(X_24,X_25)),
inference(resolve,[$cnf( $equal(multiply(X,divide(X_24,X_25)),divide(X,divide(X_25,X_24))) )],[refute_0_334,refute_0_382]) ).
cnf(refute_0_384,plain,
divide(Y,divide(multiply(divide(X_7,X_8),Y),X_7)) = multiply(Y,divide(X_7,multiply(divide(X_7,X_8),Y))),
inference(subst,[],[refute_0_383:[bind(X,$fot(Y)),bind(X_24,$fot(X_7)),bind(X_25,$fot(multiply(divide(X_7,X_8),Y)))]]) ).
cnf(refute_0_385,plain,
( divide(Y,divide(multiply(divide(X_7,X_8),Y),X_7)) != X_8
| divide(Y,divide(multiply(divide(X_7,X_8),Y),X_7)) != multiply(Y,divide(X_7,multiply(divide(X_7,X_8),Y)))
| multiply(Y,divide(X_7,multiply(divide(X_7,X_8),Y))) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(Y,divide(multiply(divide(X_7,X_8),Y),X_7)),X_8) ),[0],$fot(multiply(Y,divide(X_7,multiply(divide(X_7,X_8),Y))))]]) ).
cnf(refute_0_386,plain,
( divide(Y,divide(multiply(divide(X_7,X_8),Y),X_7)) != X_8
| multiply(Y,divide(X_7,multiply(divide(X_7,X_8),Y))) = X_8 ),
inference(resolve,[$cnf( $equal(divide(Y,divide(multiply(divide(X_7,X_8),Y),X_7)),multiply(Y,divide(X_7,multiply(divide(X_7,X_8),Y)))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
multiply(Y,divide(X_7,multiply(divide(X_7,X_8),Y))) = X_8,
inference(resolve,[$cnf( $equal(divide(Y,divide(multiply(divide(X_7,X_8),Y),X_7)),X_8) )],[refute_0_381,refute_0_386]) ).
cnf(refute_0_388,plain,
multiply(X_34,divide(X_35,multiply(divide(X_35,multiply(X_29,X_35)),X_34))) = multiply(X_29,X_35),
inference(subst,[],[refute_0_387:[bind(Y,$fot(X_34)),bind(X_7,$fot(X_35)),bind(X_8,$fot(multiply(X_29,X_35)))]]) ).
cnf(refute_0_389,plain,
inverse(divide(multiply(X_29,X_22),X_22)) = divide(X_22,multiply(X_29,X_22)),
inference(subst,[],[refute_0_219:[bind(X_10,$fot(multiply(X_29,X_22)))]]) ).
cnf(refute_0_390,plain,
inverse(divide(divide(inverse(Y),X_23),inverse(Y))) = X_23,
inference(subst,[],[refute_0_214:[bind(X_7,$fot(inverse(Y))),bind(X_8,$fot(X_23))]]) ).
cnf(refute_0_391,plain,
multiply(divide(inverse(Y),X_23),Y) = divide(divide(inverse(Y),X_23),inverse(Y)),
inference(subst,[],[refute_0_15:[bind(X,$fot(divide(inverse(Y),X_23)))]]) ).
cnf(refute_0_392,plain,
( multiply(divide(inverse(Y),X_23),Y) != divide(divide(inverse(Y),X_23),inverse(Y))
| divide(divide(inverse(Y),X_23),inverse(Y)) = multiply(divide(inverse(Y),X_23),Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(divide(inverse(Y),X_23),Y))),bind(Y0,$fot(divide(divide(inverse(Y),X_23),inverse(Y))))]]) ).
cnf(refute_0_393,plain,
divide(divide(inverse(Y),X_23),inverse(Y)) = multiply(divide(inverse(Y),X_23),Y),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(Y),X_23),Y),divide(divide(inverse(Y),X_23),inverse(Y))) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
( divide(divide(inverse(Y),X_23),inverse(Y)) != multiply(divide(inverse(Y),X_23),Y)
| inverse(divide(divide(inverse(Y),X_23),inverse(Y))) != X_23
| inverse(multiply(divide(inverse(Y),X_23),Y)) = X_23 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(inverse(Y),X_23),inverse(Y))),X_23) ),[0,0],$fot(multiply(divide(inverse(Y),X_23),Y))]]) ).
cnf(refute_0_395,plain,
( inverse(divide(divide(inverse(Y),X_23),inverse(Y))) != X_23
| inverse(multiply(divide(inverse(Y),X_23),Y)) = X_23 ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(Y),X_23),inverse(Y)),multiply(divide(inverse(Y),X_23),Y)) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
inverse(multiply(divide(inverse(Y),X_23),Y)) = X_23,
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(Y),X_23),inverse(Y))),X_23) )],[refute_0_390,refute_0_395]) ).
cnf(refute_0_397,plain,
inverse(divide(Y,multiply(X_23,Y))) = divide(multiply(X_23,Y),Y),
inference(subst,[],[refute_0_219:[bind(X_10,$fot(Y)),bind(X_22,$fot(multiply(X_23,Y)))]]) ).
cnf(refute_0_398,plain,
multiply(inverse(multiply(X_23,Y)),Y) = divide(Y,multiply(X_23,Y)),
inference(subst,[],[refute_0_92:[bind(X_12,$fot(Y)),bind(X_13,$fot(multiply(X_23,Y)))]]) ).
cnf(refute_0_399,plain,
divide(inverse(Y),X_23) = inverse(multiply(X_23,Y)),
inference(subst,[],[refute_0_228:[bind(X_24,$fot(X_23))]]) ).
cnf(refute_0_400,plain,
multiply(divide(inverse(Y),X_23),Y) = multiply(divide(inverse(Y),X_23),Y),
introduced(tautology,[refl,[$fot(multiply(divide(inverse(Y),X_23),Y))]]) ).
cnf(refute_0_401,plain,
( multiply(divide(inverse(Y),X_23),Y) != multiply(divide(inverse(Y),X_23),Y)
| divide(inverse(Y),X_23) != inverse(multiply(X_23,Y))
| multiply(divide(inverse(Y),X_23),Y) = multiply(inverse(multiply(X_23,Y)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(Y),X_23),Y),multiply(divide(inverse(Y),X_23),Y)) ),[1,0],$fot(inverse(multiply(X_23,Y)))]]) ).
cnf(refute_0_402,plain,
( divide(inverse(Y),X_23) != inverse(multiply(X_23,Y))
| multiply(divide(inverse(Y),X_23),Y) = multiply(inverse(multiply(X_23,Y)),Y) ),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(Y),X_23),Y),multiply(divide(inverse(Y),X_23),Y)) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
multiply(divide(inverse(Y),X_23),Y) = multiply(inverse(multiply(X_23,Y)),Y),
inference(resolve,[$cnf( $equal(divide(inverse(Y),X_23),inverse(multiply(X_23,Y))) )],[refute_0_399,refute_0_402]) ).
cnf(refute_0_404,plain,
( multiply(divide(inverse(Y),X_23),Y) != multiply(inverse(multiply(X_23,Y)),Y)
| multiply(inverse(multiply(X_23,Y)),Y) != divide(Y,multiply(X_23,Y))
| multiply(divide(inverse(Y),X_23),Y) = divide(Y,multiply(X_23,Y)) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(divide(inverse(Y),X_23),Y))),bind(Y0,$fot(multiply(inverse(multiply(X_23,Y)),Y))),bind(Z0,$fot(divide(Y,multiply(X_23,Y))))]]) ).
cnf(refute_0_405,plain,
( multiply(inverse(multiply(X_23,Y)),Y) != divide(Y,multiply(X_23,Y))
| multiply(divide(inverse(Y),X_23),Y) = divide(Y,multiply(X_23,Y)) ),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(Y),X_23),Y),multiply(inverse(multiply(X_23,Y)),Y)) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
multiply(divide(inverse(Y),X_23),Y) = divide(Y,multiply(X_23,Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_23,Y)),Y),divide(Y,multiply(X_23,Y))) )],[refute_0_398,refute_0_405]) ).
cnf(refute_0_407,plain,
inverse(multiply(divide(inverse(Y),X_23),Y)) = inverse(multiply(divide(inverse(Y),X_23),Y)),
introduced(tautology,[refl,[$fot(inverse(multiply(divide(inverse(Y),X_23),Y)))]]) ).
cnf(refute_0_408,plain,
( multiply(divide(inverse(Y),X_23),Y) != divide(Y,multiply(X_23,Y))
| inverse(multiply(divide(inverse(Y),X_23),Y)) != inverse(multiply(divide(inverse(Y),X_23),Y))
| inverse(multiply(divide(inverse(Y),X_23),Y)) = inverse(divide(Y,multiply(X_23,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(inverse(Y),X_23),Y)),inverse(multiply(divide(inverse(Y),X_23),Y))) ),[1,0],$fot(divide(Y,multiply(X_23,Y)))]]) ).
cnf(refute_0_409,plain,
( multiply(divide(inverse(Y),X_23),Y) != divide(Y,multiply(X_23,Y))
| inverse(multiply(divide(inverse(Y),X_23),Y)) = inverse(divide(Y,multiply(X_23,Y))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(Y),X_23),Y)),inverse(multiply(divide(inverse(Y),X_23),Y))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
inverse(multiply(divide(inverse(Y),X_23),Y)) = inverse(divide(Y,multiply(X_23,Y))),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(Y),X_23),Y),divide(Y,multiply(X_23,Y))) )],[refute_0_406,refute_0_409]) ).
cnf(refute_0_411,plain,
( inverse(multiply(divide(inverse(Y),X_23),Y)) != inverse(divide(Y,multiply(X_23,Y)))
| inverse(divide(Y,multiply(X_23,Y))) != divide(multiply(X_23,Y),Y)
| inverse(multiply(divide(inverse(Y),X_23),Y)) = divide(multiply(X_23,Y),Y) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(inverse(multiply(divide(inverse(Y),X_23),Y)))),bind(Y0,$fot(inverse(divide(Y,multiply(X_23,Y))))),bind(Z0,$fot(divide(multiply(X_23,Y),Y)))]]) ).
cnf(refute_0_412,plain,
( inverse(divide(Y,multiply(X_23,Y))) != divide(multiply(X_23,Y),Y)
| inverse(multiply(divide(inverse(Y),X_23),Y)) = divide(multiply(X_23,Y),Y) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(Y),X_23),Y)),inverse(divide(Y,multiply(X_23,Y)))) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
inverse(multiply(divide(inverse(Y),X_23),Y)) = divide(multiply(X_23,Y),Y),
inference(resolve,[$cnf( $equal(inverse(divide(Y,multiply(X_23,Y))),divide(multiply(X_23,Y),Y)) )],[refute_0_397,refute_0_412]) ).
cnf(refute_0_414,plain,
( inverse(multiply(divide(inverse(Y),X_23),Y)) != X_23
| inverse(multiply(divide(inverse(Y),X_23),Y)) != divide(multiply(X_23,Y),Y)
| divide(multiply(X_23,Y),Y) = X_23 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(inverse(Y),X_23),Y)),X_23) ),[0],$fot(divide(multiply(X_23,Y),Y))]]) ).
cnf(refute_0_415,plain,
( inverse(multiply(divide(inverse(Y),X_23),Y)) != X_23
| divide(multiply(X_23,Y),Y) = X_23 ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(Y),X_23),Y)),divide(multiply(X_23,Y),Y)) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
divide(multiply(X_23,Y),Y) = X_23,
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(Y),X_23),Y)),X_23) )],[refute_0_396,refute_0_415]) ).
cnf(refute_0_417,plain,
divide(multiply(X_29,X_22),X_22) = X_29,
inference(subst,[],[refute_0_416:[bind(Y,$fot(X_22)),bind(X_23,$fot(X_29))]]) ).
cnf(refute_0_418,plain,
( divide(multiply(X_29,X_22),X_22) != X_29
| inverse(divide(multiply(X_29,X_22),X_22)) != divide(X_22,multiply(X_29,X_22))
| inverse(X_29) = divide(X_22,multiply(X_29,X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(multiply(X_29,X_22),X_22)),divide(X_22,multiply(X_29,X_22))) ),[0,0],$fot(X_29)]]) ).
cnf(refute_0_419,plain,
( inverse(divide(multiply(X_29,X_22),X_22)) != divide(X_22,multiply(X_29,X_22))
| inverse(X_29) = divide(X_22,multiply(X_29,X_22)) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_29,X_22),X_22),X_29) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
inverse(X_29) = divide(X_22,multiply(X_29,X_22)),
inference(resolve,[$cnf( $equal(inverse(divide(multiply(X_29,X_22),X_22)),divide(X_22,multiply(X_29,X_22))) )],[refute_0_389,refute_0_419]) ).
cnf(refute_0_421,plain,
inverse(X_29) = divide(X_35,multiply(X_29,X_35)),
inference(subst,[],[refute_0_420:[bind(X_22,$fot(X_35))]]) ).
cnf(refute_0_422,plain,
( inverse(X_29) != divide(X_35,multiply(X_29,X_35))
| divide(X_35,multiply(X_29,X_35)) = inverse(X_29) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_29))),bind(Y0,$fot(divide(X_35,multiply(X_29,X_35))))]]) ).
cnf(refute_0_423,plain,
divide(X_35,multiply(X_29,X_35)) = inverse(X_29),
inference(resolve,[$cnf( $equal(inverse(X_29),divide(X_35,multiply(X_29,X_35))) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
( multiply(X_34,divide(X_35,multiply(divide(X_35,multiply(X_29,X_35)),X_34))) != multiply(X_29,X_35)
| divide(X_35,multiply(X_29,X_35)) != inverse(X_29)
| multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34))) = multiply(X_29,X_35) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_34,divide(X_35,multiply(divide(X_35,multiply(X_29,X_35)),X_34))),multiply(X_29,X_35)) ),[0,1,1,0],$fot(inverse(X_29))]]) ).
cnf(refute_0_425,plain,
( multiply(X_34,divide(X_35,multiply(divide(X_35,multiply(X_29,X_35)),X_34))) != multiply(X_29,X_35)
| multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34))) = multiply(X_29,X_35) ),
inference(resolve,[$cnf( $equal(divide(X_35,multiply(X_29,X_35)),inverse(X_29)) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34))) = multiply(X_29,X_35),
inference(resolve,[$cnf( $equal(multiply(X_34,divide(X_35,multiply(divide(X_35,multiply(X_29,X_35)),X_34))),multiply(X_29,X_35)) )],[refute_0_388,refute_0_425]) ).
cnf(refute_0_427,plain,
divide(X_35,divide(X_34,X_29)) = multiply(X_35,divide(X_29,X_34)),
inference(subst,[],[refute_0_383:[bind(X,$fot(X_35)),bind(X_24,$fot(X_29)),bind(X_25,$fot(X_34))]]) ).
cnf(refute_0_428,plain,
multiply(inverse(X_29),X_34) = divide(X_34,X_29),
inference(subst,[],[refute_0_92:[bind(X_12,$fot(X_34)),bind(X_13,$fot(X_29))]]) ).
cnf(refute_0_429,plain,
divide(X_35,multiply(inverse(X_29),X_34)) = divide(X_35,multiply(inverse(X_29),X_34)),
introduced(tautology,[refl,[$fot(divide(X_35,multiply(inverse(X_29),X_34)))]]) ).
cnf(refute_0_430,plain,
( multiply(inverse(X_29),X_34) != divide(X_34,X_29)
| divide(X_35,multiply(inverse(X_29),X_34)) != divide(X_35,multiply(inverse(X_29),X_34))
| divide(X_35,multiply(inverse(X_29),X_34)) = divide(X_35,divide(X_34,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_35,multiply(inverse(X_29),X_34)),divide(X_35,multiply(inverse(X_29),X_34))) ),[1,1],$fot(divide(X_34,X_29))]]) ).
cnf(refute_0_431,plain,
( multiply(inverse(X_29),X_34) != divide(X_34,X_29)
| divide(X_35,multiply(inverse(X_29),X_34)) = divide(X_35,divide(X_34,X_29)) ),
inference(resolve,[$cnf( $equal(divide(X_35,multiply(inverse(X_29),X_34)),divide(X_35,multiply(inverse(X_29),X_34))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
divide(X_35,multiply(inverse(X_29),X_34)) = divide(X_35,divide(X_34,X_29)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_29),X_34),divide(X_34,X_29)) )],[refute_0_428,refute_0_431]) ).
cnf(refute_0_433,plain,
( divide(X_35,multiply(inverse(X_29),X_34)) != divide(X_35,divide(X_34,X_29))
| divide(X_35,divide(X_34,X_29)) != multiply(X_35,divide(X_29,X_34))
| divide(X_35,multiply(inverse(X_29),X_34)) = multiply(X_35,divide(X_29,X_34)) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(divide(X_35,multiply(inverse(X_29),X_34)))),bind(Y0,$fot(divide(X_35,divide(X_34,X_29)))),bind(Z0,$fot(multiply(X_35,divide(X_29,X_34))))]]) ).
cnf(refute_0_434,plain,
( divide(X_35,divide(X_34,X_29)) != multiply(X_35,divide(X_29,X_34))
| divide(X_35,multiply(inverse(X_29),X_34)) = multiply(X_35,divide(X_29,X_34)) ),
inference(resolve,[$cnf( $equal(divide(X_35,multiply(inverse(X_29),X_34)),divide(X_35,divide(X_34,X_29))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
divide(X_35,multiply(inverse(X_29),X_34)) = multiply(X_35,divide(X_29,X_34)),
inference(resolve,[$cnf( $equal(divide(X_35,divide(X_34,X_29)),multiply(X_35,divide(X_29,X_34))) )],[refute_0_427,refute_0_434]) ).
cnf(refute_0_436,plain,
multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34))) = multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34))),
introduced(tautology,[refl,[$fot(multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34))))]]) ).
cnf(refute_0_437,plain,
( multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34))) != multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34)))
| divide(X_35,multiply(inverse(X_29),X_34)) != multiply(X_35,divide(X_29,X_34))
| multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34))) = multiply(X_34,multiply(X_35,divide(X_29,X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34))),multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34)))) ),[1,1],$fot(multiply(X_35,divide(X_29,X_34)))]]) ).
cnf(refute_0_438,plain,
( divide(X_35,multiply(inverse(X_29),X_34)) != multiply(X_35,divide(X_29,X_34))
| multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34))) = multiply(X_34,multiply(X_35,divide(X_29,X_34))) ),
inference(resolve,[$cnf( $equal(multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34))),multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34)))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34))) = multiply(X_34,multiply(X_35,divide(X_29,X_34))),
inference(resolve,[$cnf( $equal(divide(X_35,multiply(inverse(X_29),X_34)),multiply(X_35,divide(X_29,X_34))) )],[refute_0_435,refute_0_438]) ).
cnf(refute_0_440,plain,
( multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34))) != multiply(X_29,X_35)
| multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34))) != multiply(X_34,multiply(X_35,divide(X_29,X_34)))
| multiply(X_34,multiply(X_35,divide(X_29,X_34))) = multiply(X_29,X_35) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34))),multiply(X_29,X_35)) ),[0],$fot(multiply(X_34,multiply(X_35,divide(X_29,X_34))))]]) ).
cnf(refute_0_441,plain,
( multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34))) != multiply(X_29,X_35)
| multiply(X_34,multiply(X_35,divide(X_29,X_34))) = multiply(X_29,X_35) ),
inference(resolve,[$cnf( $equal(multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34))),multiply(X_34,multiply(X_35,divide(X_29,X_34)))) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
multiply(X_34,multiply(X_35,divide(X_29,X_34))) = multiply(X_29,X_35),
inference(resolve,[$cnf( $equal(multiply(X_34,divide(X_35,multiply(inverse(X_29),X_34))),multiply(X_29,X_35)) )],[refute_0_426,refute_0_441]) ).
cnf(refute_0_443,plain,
multiply(X_12,multiply(X_78,divide(X_76,X_12))) = multiply(X_76,X_78),
inference(subst,[],[refute_0_442:[bind(X_29,$fot(X_76)),bind(X_34,$fot(X_12)),bind(X_35,$fot(X_78))]]) ).
cnf(refute_0_444,plain,
( multiply(X_12,multiply(X_78,divide(X_76,X_12))) != multiply(X_76,X_78)
| divide(X_12,multiply(X_12,multiply(X_78,divide(X_76,X_12)))) != inverse(multiply(X_78,divide(X_76,X_12)))
| divide(X_12,multiply(X_76,X_78)) = inverse(multiply(X_78,divide(X_76,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_12,multiply(X_12,multiply(X_78,divide(X_76,X_12)))),inverse(multiply(X_78,divide(X_76,X_12)))) ),[0,1],$fot(multiply(X_76,X_78))]]) ).
cnf(refute_0_445,plain,
( divide(X_12,multiply(X_12,multiply(X_78,divide(X_76,X_12)))) != inverse(multiply(X_78,divide(X_76,X_12)))
| divide(X_12,multiply(X_76,X_78)) = inverse(multiply(X_78,divide(X_76,X_12))) ),
inference(resolve,[$cnf( $equal(multiply(X_12,multiply(X_78,divide(X_76,X_12))),multiply(X_76,X_78)) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
divide(X_12,multiply(X_76,X_78)) = inverse(multiply(X_78,divide(X_76,X_12))),
inference(resolve,[$cnf( $equal(divide(X_12,multiply(X_12,multiply(X_78,divide(X_76,X_12)))),inverse(multiply(X_78,divide(X_76,X_12)))) )],[refute_0_356,refute_0_445]) ).
cnf(refute_0_447,plain,
inverse(multiply(X_78,divide(X_76,X_12))) = divide(divide(X_12,X_76),X_78),
inference(subst,[],[refute_0_340:[bind(X_10,$fot(X_78)),bind(X_51,$fot(X_76)),bind(X_52,$fot(X_12))]]) ).
cnf(refute_0_448,plain,
( divide(X_12,multiply(X_76,X_78)) != inverse(multiply(X_78,divide(X_76,X_12)))
| inverse(multiply(X_78,divide(X_76,X_12))) != divide(divide(X_12,X_76),X_78)
| divide(X_12,multiply(X_76,X_78)) = divide(divide(X_12,X_76),X_78) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_12,multiply(X_76,X_78)),divide(divide(X_12,X_76),X_78)) ),[0],$fot(inverse(multiply(X_78,divide(X_76,X_12))))]]) ).
cnf(refute_0_449,plain,
( divide(X_12,multiply(X_76,X_78)) != inverse(multiply(X_78,divide(X_76,X_12)))
| divide(X_12,multiply(X_76,X_78)) = divide(divide(X_12,X_76),X_78) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_78,divide(X_76,X_12))),divide(divide(X_12,X_76),X_78)) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
divide(X_12,multiply(X_76,X_78)) = divide(divide(X_12,X_76),X_78),
inference(resolve,[$cnf( $equal(divide(X_12,multiply(X_76,X_78)),inverse(multiply(X_78,divide(X_76,X_12)))) )],[refute_0_446,refute_0_449]) ).
cnf(refute_0_451,plain,
( divide(X_12,multiply(X_76,X_78)) != divide(divide(X_12,X_76),X_78)
| divide(divide(X_12,X_76),X_78) = divide(X_12,multiply(X_76,X_78)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(divide(X_12,multiply(X_76,X_78)))),bind(Y0,$fot(divide(divide(X_12,X_76),X_78)))]]) ).
cnf(refute_0_452,plain,
divide(divide(X_12,X_76),X_78) = divide(X_12,multiply(X_76,X_78)),
inference(resolve,[$cnf( $equal(divide(X_12,multiply(X_76,X_78)),divide(divide(X_12,X_76),X_78)) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
divide(divide(X_52,X_51),X_10) = divide(X_52,multiply(X_51,X_10)),
inference(subst,[],[refute_0_452:[bind(X_12,$fot(X_52)),bind(X_76,$fot(X_51)),bind(X_78,$fot(X_10))]]) ).
cnf(refute_0_454,plain,
( divide(divide(X_52,X_51),X_10) != divide(X_52,multiply(X_51,X_10))
| inverse(multiply(X_10,divide(X_51,X_52))) != divide(divide(X_52,X_51),X_10)
| inverse(multiply(X_10,divide(X_51,X_52))) = divide(X_52,multiply(X_51,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,divide(X_51,X_52))),divide(divide(X_52,X_51),X_10)) ),[1],$fot(divide(X_52,multiply(X_51,X_10)))]]) ).
cnf(refute_0_455,plain,
( inverse(multiply(X_10,divide(X_51,X_52))) != divide(divide(X_52,X_51),X_10)
| inverse(multiply(X_10,divide(X_51,X_52))) = divide(X_52,multiply(X_51,X_10)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_52,X_51),X_10),divide(X_52,multiply(X_51,X_10))) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
inverse(multiply(X_10,divide(X_51,X_52))) = divide(X_52,multiply(X_51,X_10)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,divide(X_51,X_52))),divide(divide(X_52,X_51),X_10)) )],[refute_0_340,refute_0_455]) ).
cnf(refute_0_457,plain,
inverse(multiply(X_86,divide(inverse(Y),X_88))) = divide(X_88,multiply(inverse(Y),X_86)),
inference(subst,[],[refute_0_456:[bind(X_10,$fot(X_86)),bind(X_51,$fot(inverse(Y))),bind(X_52,$fot(X_88))]]) ).
cnf(refute_0_458,plain,
inverse(multiply(X_88,Y)) = divide(inverse(Y),X_88),
inference(subst,[],[refute_0_226:[bind(X_24,$fot(X_88))]]) ).
cnf(refute_0_459,plain,
( inverse(multiply(X_88,Y)) != divide(inverse(Y),X_88)
| divide(inverse(Y),X_88) = inverse(multiply(X_88,Y)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_88,Y)))),bind(Y0,$fot(divide(inverse(Y),X_88)))]]) ).
cnf(refute_0_460,plain,
divide(inverse(Y),X_88) = inverse(multiply(X_88,Y)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_88,Y)),divide(inverse(Y),X_88)) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
( divide(inverse(Y),X_88) != inverse(multiply(X_88,Y))
| inverse(multiply(X_86,divide(inverse(Y),X_88))) != divide(X_88,multiply(inverse(Y),X_86))
| inverse(multiply(X_86,inverse(multiply(X_88,Y)))) = divide(X_88,multiply(inverse(Y),X_86)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_86,divide(inverse(Y),X_88))),divide(X_88,multiply(inverse(Y),X_86))) ),[0,0,1],$fot(inverse(multiply(X_88,Y)))]]) ).
cnf(refute_0_462,plain,
( inverse(multiply(X_86,divide(inverse(Y),X_88))) != divide(X_88,multiply(inverse(Y),X_86))
| inverse(multiply(X_86,inverse(multiply(X_88,Y)))) = divide(X_88,multiply(inverse(Y),X_86)) ),
inference(resolve,[$cnf( $equal(divide(inverse(Y),X_88),inverse(multiply(X_88,Y))) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
inverse(multiply(X_86,inverse(multiply(X_88,Y)))) = divide(X_88,multiply(inverse(Y),X_86)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_86,divide(inverse(Y),X_88))),divide(X_88,multiply(inverse(Y),X_86))) )],[refute_0_457,refute_0_462]) ).
cnf(refute_0_464,plain,
divide(inverse(divide(divide(divide(inverse(divide(divide(divide(X_7,X_8),Y),X_7)),Y),Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z) = Y,
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(divide(divide(divide(X_7,X_8),Y),X_7))))]]) ).
cnf(refute_0_465,plain,
divide(inverse(divide(divide(divide(X_7,X_8),Y),X_7)),Y) = X_8,
inference(subst,[],[refute_0_24:[bind(X,$fot(X_7)),bind(Y,$fot(X_8)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_466,plain,
( divide(inverse(divide(divide(divide(X_7,X_8),Y),X_7)),Y) != X_8
| divide(inverse(divide(divide(divide(inverse(divide(divide(divide(X_7,X_8),Y),X_7)),Y),Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z) != Y
| divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z) = Y ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(divide(inverse(divide(divide(divide(X_7,X_8),Y),X_7)),Y),Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z),Y) ),[0,0,0,0,0],$fot(X_8)]]) ).
cnf(refute_0_467,plain,
( divide(inverse(divide(divide(divide(inverse(divide(divide(divide(X_7,X_8),Y),X_7)),Y),Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z) != Y
| divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z) = Y ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_7,X_8),Y),X_7)),Y),X_8) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z) = Y,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(inverse(divide(divide(divide(X_7,X_8),Y),X_7)),Y),Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z),Y) )],[refute_0_464,refute_0_467]) ).
cnf(refute_0_469,plain,
divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7))) = multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)),
inference(subst,[],[refute_0_59:[bind(X,$fot(divide(X_8,Z))),bind(Y,$fot(divide(divide(divide(X_7,X_8),Y),X_7)))]]) ).
cnf(refute_0_470,plain,
inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))) = inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),
introduced(tautology,[refl,[$fot(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))))]]) ).
cnf(refute_0_471,plain,
( divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7))) != multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))
| inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))) != inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7))))
| inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))) = inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7))))) ),[1,0],$fot(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)))]]) ).
cnf(refute_0_472,plain,
( divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7))) != multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))
| inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))) = inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7))))) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))) = inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),
inference(resolve,[$cnf( $equal(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7))),multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))) )],[refute_0_469,refute_0_472]) ).
cnf(refute_0_474,plain,
divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z) = divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z),
introduced(tautology,[refl,[$fot(divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z))]]) ).
cnf(refute_0_475,plain,
( divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z) != divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z)
| inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))) != inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)))
| divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z) = divide(inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),Z) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z),divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z)) ),[1,0],$fot(inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))))]]) ).
cnf(refute_0_476,plain,
( inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))) != inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)))
| divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z) = divide(inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),Z) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z),divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z)) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z) = divide(inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),Z),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)))) )],[refute_0_473,refute_0_476]) ).
cnf(refute_0_478,plain,
( divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z) != Y
| divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z) != divide(inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),Z)
| divide(inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),Z) = Y ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z),Y) ),[0],$fot(divide(inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),Z))]]) ).
cnf(refute_0_479,plain,
( divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z) != Y
| divide(inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),Z) = Y ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z),divide(inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),Z)) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
divide(inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),Z) = Y,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(X_8,Z),inverse(divide(divide(divide(X_7,X_8),Y),X_7)))),Z),Y) )],[refute_0_468,refute_0_479]) ).
cnf(refute_0_481,plain,
divide(inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),Z) = divide(inverse(Z),multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),
inference(subst,[],[refute_0_172:[bind(X_21,$fot(Z)),bind(X_9,$fot(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))))]]) ).
cnf(refute_0_482,plain,
( divide(inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),Z) != Y
| divide(inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),Z) != divide(inverse(Z),multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)))
| divide(inverse(Z),multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),Z),Y) ),[0],$fot(divide(inverse(Z),multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))))]]) ).
cnf(refute_0_483,plain,
( divide(inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),Z) != Y
| divide(inverse(Z),multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))) = Y ),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),Z),divide(inverse(Z),multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)))) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
divide(inverse(Z),multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))) = Y,
inference(resolve,[$cnf( $equal(divide(inverse(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),Z),Y) )],[refute_0_480,refute_0_483]) ).
cnf(refute_0_485,plain,
divide(inverse(Z),multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))) = inverse(multiply(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)),Z)),
inference(subst,[],[refute_0_228:[bind(Y,$fot(Z)),bind(X_24,$fot(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))))]]) ).
cnf(refute_0_486,plain,
( divide(inverse(Z),multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))) != Y
| divide(inverse(Z),multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))) != inverse(multiply(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)),Z))
| inverse(multiply(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)),Z)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(Z),multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),Y) ),[0],$fot(inverse(multiply(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)),Z)))]]) ).
cnf(refute_0_487,plain,
( divide(inverse(Z),multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))) != Y
| inverse(multiply(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)),Z)) = Y ),
inference(resolve,[$cnf( $equal(divide(inverse(Z),multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),inverse(multiply(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)),Z))) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
inverse(multiply(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)),Z)) = Y,
inference(resolve,[$cnf( $equal(divide(inverse(Z),multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))),Y) )],[refute_0_484,refute_0_487]) ).
cnf(refute_0_489,plain,
inverse(multiply(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)),Z)) = inverse(multiply(Z,multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)))),
inference(subst,[],[refute_0_269:[bind(X_21,$fot(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)))),bind(X_9,$fot(Z))]]) ).
cnf(refute_0_490,plain,
( inverse(multiply(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)),Z)) != Y
| inverse(multiply(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)),Z)) != inverse(multiply(Z,multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))))
| inverse(multiply(Z,multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)),Z)),Y) ),[0],$fot(inverse(multiply(Z,multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)))))]]) ).
cnf(refute_0_491,plain,
( inverse(multiply(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)),Z)) != Y
| inverse(multiply(Z,multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)))) = Y ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)),Z)),inverse(multiply(Z,multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7))))) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
inverse(multiply(Z,multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)))) = Y,
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(divide(X_8,Z),divide(divide(divide(X_7,X_8),Y),X_7)),Z)),Y) )],[refute_0_488,refute_0_491]) ).
cnf(refute_0_493,plain,
inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(divide(divide(X_61,X_62),multiply(X_29,divide(X_61,X_62))),X_61)))) = multiply(X_29,divide(X_61,X_62)),
inference(subst,[],[refute_0_492:[bind(Y,$fot(multiply(X_29,divide(X_61,X_62)))),bind(Z,$fot(X_60)),bind(X_7,$fot(X_61)),bind(X_8,$fot(X_62))]]) ).
cnf(refute_0_494,plain,
inverse(X_29) = divide(divide(X_61,X_62),multiply(X_29,divide(X_61,X_62))),
inference(subst,[],[refute_0_420:[bind(X_22,$fot(divide(X_61,X_62)))]]) ).
cnf(refute_0_495,plain,
( inverse(X_29) != divide(divide(X_61,X_62),multiply(X_29,divide(X_61,X_62)))
| divide(divide(X_61,X_62),multiply(X_29,divide(X_61,X_62))) = inverse(X_29) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_29))),bind(Y0,$fot(divide(divide(X_61,X_62),multiply(X_29,divide(X_61,X_62)))))]]) ).
cnf(refute_0_496,plain,
divide(divide(X_61,X_62),multiply(X_29,divide(X_61,X_62))) = inverse(X_29),
inference(resolve,[$cnf( $equal(inverse(X_29),divide(divide(X_61,X_62),multiply(X_29,divide(X_61,X_62)))) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
( divide(divide(X_61,X_62),multiply(X_29,divide(X_61,X_62))) != inverse(X_29)
| inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(divide(divide(X_61,X_62),multiply(X_29,divide(X_61,X_62))),X_61)))) != multiply(X_29,divide(X_61,X_62))
| inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))) = multiply(X_29,divide(X_61,X_62)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(divide(divide(X_61,X_62),multiply(X_29,divide(X_61,X_62))),X_61)))),multiply(X_29,divide(X_61,X_62))) ),[0,0,1,1,0],$fot(inverse(X_29))]]) ).
cnf(refute_0_498,plain,
( inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(divide(divide(X_61,X_62),multiply(X_29,divide(X_61,X_62))),X_61)))) != multiply(X_29,divide(X_61,X_62))
| inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))) = multiply(X_29,divide(X_61,X_62)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_61,X_62),multiply(X_29,divide(X_61,X_62))),inverse(X_29)) )],[refute_0_496,refute_0_497]) ).
cnf(refute_0_499,plain,
inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))) = multiply(X_29,divide(X_61,X_62)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(divide(divide(X_61,X_62),multiply(X_29,divide(X_61,X_62))),X_61)))),multiply(X_29,divide(X_61,X_62))) )],[refute_0_493,refute_0_498]) ).
cnf(refute_0_500,plain,
divide(inverse(divide(divide(divide(inverse(inverse(X_12)),divide(X_12,X_13)),Z),inverse(inverse(X_12)))),Z) = divide(X_12,X_13),
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(inverse(X_12)))),bind(Y,$fot(divide(X_12,X_13)))]]) ).
cnf(refute_0_501,plain,
( divide(inverse(divide(divide(divide(inverse(inverse(X_12)),divide(X_12,X_13)),Z),inverse(inverse(X_12)))),Z) != divide(X_12,X_13)
| divide(inverse(inverse(X_12)),divide(X_12,X_13)) != X_13
| divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z) = divide(X_12,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(divide(inverse(inverse(X_12)),divide(X_12,X_13)),Z),inverse(inverse(X_12)))),Z),divide(X_12,X_13)) ),[0,0,0,0,0],$fot(X_13)]]) ).
cnf(refute_0_502,plain,
( divide(inverse(divide(divide(divide(inverse(inverse(X_12)),divide(X_12,X_13)),Z),inverse(inverse(X_12)))),Z) != divide(X_12,X_13)
| divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z) = divide(X_12,X_13) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_12)),divide(X_12,X_13)),X_13) )],[refute_0_85,refute_0_501]) ).
cnf(refute_0_503,plain,
divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z) = divide(X_12,X_13),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(inverse(inverse(X_12)),divide(X_12,X_13)),Z),inverse(inverse(X_12)))),Z),divide(X_12,X_13)) )],[refute_0_500,refute_0_502]) ).
cnf(refute_0_504,plain,
divide(divide(X_13,Z),inverse(inverse(X_12))) = multiply(divide(X_13,Z),inverse(X_12)),
inference(subst,[],[refute_0_59:[bind(X,$fot(divide(X_13,Z))),bind(Y,$fot(inverse(X_12)))]]) ).
cnf(refute_0_505,plain,
inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))) = inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),
introduced(tautology,[refl,[$fot(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))))]]) ).
cnf(refute_0_506,plain,
( divide(divide(X_13,Z),inverse(inverse(X_12))) != multiply(divide(X_13,Z),inverse(X_12))
| inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))) != inverse(divide(divide(X_13,Z),inverse(inverse(X_12))))
| inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))) = inverse(multiply(divide(X_13,Z),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),inverse(divide(divide(X_13,Z),inverse(inverse(X_12))))) ),[1,0],$fot(multiply(divide(X_13,Z),inverse(X_12)))]]) ).
cnf(refute_0_507,plain,
( divide(divide(X_13,Z),inverse(inverse(X_12))) != multiply(divide(X_13,Z),inverse(X_12))
| inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))) = inverse(multiply(divide(X_13,Z),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),inverse(divide(divide(X_13,Z),inverse(inverse(X_12))))) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))) = inverse(multiply(divide(X_13,Z),inverse(X_12))),
inference(resolve,[$cnf( $equal(divide(divide(X_13,Z),inverse(inverse(X_12))),multiply(divide(X_13,Z),inverse(X_12))) )],[refute_0_504,refute_0_507]) ).
cnf(refute_0_509,plain,
divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z) = divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z),
introduced(tautology,[refl,[$fot(divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z))]]) ).
cnf(refute_0_510,plain,
( divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z) != divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z)
| inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))) != inverse(multiply(divide(X_13,Z),inverse(X_12)))
| divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z) = divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z),divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z)) ),[1,0],$fot(inverse(multiply(divide(X_13,Z),inverse(X_12))))]]) ).
cnf(refute_0_511,plain,
( inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))) != inverse(multiply(divide(X_13,Z),inverse(X_12)))
| divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z) = divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z),divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z)) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z) = divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),inverse(multiply(divide(X_13,Z),inverse(X_12)))) )],[refute_0_508,refute_0_511]) ).
cnf(refute_0_513,plain,
( divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z) != divide(X_12,X_13)
| divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z) != divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z)
| divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z) = divide(X_12,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z),divide(X_12,X_13)) ),[0],$fot(divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z))]]) ).
cnf(refute_0_514,plain,
( divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z) != divide(X_12,X_13)
| divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z) = divide(X_12,X_13) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z),divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z)) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z) = divide(X_12,X_13),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(X_13,Z),inverse(inverse(X_12)))),Z),divide(X_12,X_13)) )],[refute_0_503,refute_0_514]) ).
cnf(refute_0_516,plain,
multiply(divide(X_13,Z),inverse(X_12)) = divide(divide(X_13,Z),X_12),
inference(subst,[],[refute_0_132:[bind(X,$fot(divide(X_13,Z))),bind(X_14,$fot(X_12))]]) ).
cnf(refute_0_517,plain,
inverse(multiply(divide(X_13,Z),inverse(X_12))) = inverse(multiply(divide(X_13,Z),inverse(X_12))),
introduced(tautology,[refl,[$fot(inverse(multiply(divide(X_13,Z),inverse(X_12))))]]) ).
cnf(refute_0_518,plain,
( multiply(divide(X_13,Z),inverse(X_12)) != divide(divide(X_13,Z),X_12)
| inverse(multiply(divide(X_13,Z),inverse(X_12))) != inverse(multiply(divide(X_13,Z),inverse(X_12)))
| inverse(multiply(divide(X_13,Z),inverse(X_12))) = inverse(divide(divide(X_13,Z),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(X_13,Z),inverse(X_12))),inverse(multiply(divide(X_13,Z),inverse(X_12)))) ),[1,0],$fot(divide(divide(X_13,Z),X_12))]]) ).
cnf(refute_0_519,plain,
( multiply(divide(X_13,Z),inverse(X_12)) != divide(divide(X_13,Z),X_12)
| inverse(multiply(divide(X_13,Z),inverse(X_12))) = inverse(divide(divide(X_13,Z),X_12)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(X_13,Z),inverse(X_12))),inverse(multiply(divide(X_13,Z),inverse(X_12)))) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
inverse(multiply(divide(X_13,Z),inverse(X_12))) = inverse(divide(divide(X_13,Z),X_12)),
inference(resolve,[$cnf( $equal(multiply(divide(X_13,Z),inverse(X_12)),divide(divide(X_13,Z),X_12)) )],[refute_0_516,refute_0_519]) ).
cnf(refute_0_521,plain,
divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z) = divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z),
introduced(tautology,[refl,[$fot(divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z))]]) ).
cnf(refute_0_522,plain,
( divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z) != divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z)
| inverse(multiply(divide(X_13,Z),inverse(X_12))) != inverse(divide(divide(X_13,Z),X_12))
| divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z) = divide(inverse(divide(divide(X_13,Z),X_12)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z),divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z)) ),[1,0],$fot(inverse(divide(divide(X_13,Z),X_12)))]]) ).
cnf(refute_0_523,plain,
( inverse(multiply(divide(X_13,Z),inverse(X_12))) != inverse(divide(divide(X_13,Z),X_12))
| divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z) = divide(inverse(divide(divide(X_13,Z),X_12)),Z) ),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z),divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z)) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z) = divide(inverse(divide(divide(X_13,Z),X_12)),Z),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(X_13,Z),inverse(X_12))),inverse(divide(divide(X_13,Z),X_12))) )],[refute_0_520,refute_0_523]) ).
cnf(refute_0_525,plain,
( divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z) != divide(X_12,X_13)
| divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z) != divide(inverse(divide(divide(X_13,Z),X_12)),Z)
| divide(inverse(divide(divide(X_13,Z),X_12)),Z) = divide(X_12,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z),divide(X_12,X_13)) ),[0],$fot(divide(inverse(divide(divide(X_13,Z),X_12)),Z))]]) ).
cnf(refute_0_526,plain,
( divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z) != divide(X_12,X_13)
| divide(inverse(divide(divide(X_13,Z),X_12)),Z) = divide(X_12,X_13) ),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z),divide(inverse(divide(divide(X_13,Z),X_12)),Z)) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
divide(inverse(divide(divide(X_13,Z),X_12)),Z) = divide(X_12,X_13),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(divide(X_13,Z),inverse(X_12))),Z),divide(X_12,X_13)) )],[refute_0_515,refute_0_526]) ).
cnf(refute_0_528,plain,
divide(inverse(divide(divide(X_13,Z),X_12)),Z) = divide(inverse(Z),divide(divide(X_13,Z),X_12)),
inference(subst,[],[refute_0_172:[bind(X_21,$fot(Z)),bind(X_9,$fot(divide(divide(X_13,Z),X_12)))]]) ).
cnf(refute_0_529,plain,
( divide(inverse(divide(divide(X_13,Z),X_12)),Z) != divide(X_12,X_13)
| divide(inverse(divide(divide(X_13,Z),X_12)),Z) != divide(inverse(Z),divide(divide(X_13,Z),X_12))
| divide(inverse(Z),divide(divide(X_13,Z),X_12)) = divide(X_12,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(X_13,Z),X_12)),Z),divide(X_12,X_13)) ),[0],$fot(divide(inverse(Z),divide(divide(X_13,Z),X_12)))]]) ).
cnf(refute_0_530,plain,
( divide(inverse(divide(divide(X_13,Z),X_12)),Z) != divide(X_12,X_13)
| divide(inverse(Z),divide(divide(X_13,Z),X_12)) = divide(X_12,X_13) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(X_13,Z),X_12)),Z),divide(inverse(Z),divide(divide(X_13,Z),X_12))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
divide(inverse(Z),divide(divide(X_13,Z),X_12)) = divide(X_12,X_13),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(X_13,Z),X_12)),Z),divide(X_12,X_13)) )],[refute_0_527,refute_0_530]) ).
cnf(refute_0_532,plain,
divide(inverse(Z),divide(divide(X_13,Z),X_12)) = inverse(multiply(divide(divide(X_13,Z),X_12),Z)),
inference(subst,[],[refute_0_228:[bind(Y,$fot(Z)),bind(X_24,$fot(divide(divide(X_13,Z),X_12)))]]) ).
cnf(refute_0_533,plain,
( divide(inverse(Z),divide(divide(X_13,Z),X_12)) != divide(X_12,X_13)
| divide(inverse(Z),divide(divide(X_13,Z),X_12)) != inverse(multiply(divide(divide(X_13,Z),X_12),Z))
| inverse(multiply(divide(divide(X_13,Z),X_12),Z)) = divide(X_12,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(Z),divide(divide(X_13,Z),X_12)),divide(X_12,X_13)) ),[0],$fot(inverse(multiply(divide(divide(X_13,Z),X_12),Z)))]]) ).
cnf(refute_0_534,plain,
( divide(inverse(Z),divide(divide(X_13,Z),X_12)) != divide(X_12,X_13)
| inverse(multiply(divide(divide(X_13,Z),X_12),Z)) = divide(X_12,X_13) ),
inference(resolve,[$cnf( $equal(divide(inverse(Z),divide(divide(X_13,Z),X_12)),inverse(multiply(divide(divide(X_13,Z),X_12),Z))) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
inverse(multiply(divide(divide(X_13,Z),X_12),Z)) = divide(X_12,X_13),
inference(resolve,[$cnf( $equal(divide(inverse(Z),divide(divide(X_13,Z),X_12)),divide(X_12,X_13)) )],[refute_0_531,refute_0_534]) ).
cnf(refute_0_536,plain,
inverse(multiply(divide(divide(X_13,Z),X_12),Z)) = inverse(multiply(Z,divide(divide(X_13,Z),X_12))),
inference(subst,[],[refute_0_269:[bind(X_21,$fot(divide(divide(X_13,Z),X_12))),bind(X_9,$fot(Z))]]) ).
cnf(refute_0_537,plain,
( inverse(multiply(divide(divide(X_13,Z),X_12),Z)) != divide(X_12,X_13)
| inverse(multiply(divide(divide(X_13,Z),X_12),Z)) != inverse(multiply(Z,divide(divide(X_13,Z),X_12)))
| inverse(multiply(Z,divide(divide(X_13,Z),X_12))) = divide(X_12,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(divide(X_13,Z),X_12),Z)),divide(X_12,X_13)) ),[0],$fot(inverse(multiply(Z,divide(divide(X_13,Z),X_12))))]]) ).
cnf(refute_0_538,plain,
( inverse(multiply(divide(divide(X_13,Z),X_12),Z)) != divide(X_12,X_13)
| inverse(multiply(Z,divide(divide(X_13,Z),X_12))) = divide(X_12,X_13) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(divide(X_13,Z),X_12),Z)),inverse(multiply(Z,divide(divide(X_13,Z),X_12)))) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
inverse(multiply(Z,divide(divide(X_13,Z),X_12))) = divide(X_12,X_13),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(divide(X_13,Z),X_12),Z)),divide(X_12,X_13)) )],[refute_0_535,refute_0_538]) ).
cnf(refute_0_540,plain,
divide(X_12,divide(X_13,Z)) = multiply(X_12,divide(Z,X_13)),
inference(subst,[],[refute_0_383:[bind(X,$fot(X_12)),bind(X_24,$fot(Z)),bind(X_25,$fot(X_13))]]) ).
cnf(refute_0_541,plain,
divide(divide(X_12,divide(X_13,Z)),Z) = divide(divide(X_12,divide(X_13,Z)),Z),
introduced(tautology,[refl,[$fot(divide(divide(X_12,divide(X_13,Z)),Z))]]) ).
cnf(refute_0_542,plain,
( divide(X_12,divide(X_13,Z)) != multiply(X_12,divide(Z,X_13))
| divide(divide(X_12,divide(X_13,Z)),Z) != divide(divide(X_12,divide(X_13,Z)),Z)
| divide(divide(X_12,divide(X_13,Z)),Z) = divide(multiply(X_12,divide(Z,X_13)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_12,divide(X_13,Z)),Z),divide(divide(X_12,divide(X_13,Z)),Z)) ),[1,0],$fot(multiply(X_12,divide(Z,X_13)))]]) ).
cnf(refute_0_543,plain,
( divide(X_12,divide(X_13,Z)) != multiply(X_12,divide(Z,X_13))
| divide(divide(X_12,divide(X_13,Z)),Z) = divide(multiply(X_12,divide(Z,X_13)),Z) ),
inference(resolve,[$cnf( $equal(divide(divide(X_12,divide(X_13,Z)),Z),divide(divide(X_12,divide(X_13,Z)),Z)) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
divide(divide(X_12,divide(X_13,Z)),Z) = divide(multiply(X_12,divide(Z,X_13)),Z),
inference(resolve,[$cnf( $equal(divide(X_12,divide(X_13,Z)),multiply(X_12,divide(Z,X_13))) )],[refute_0_540,refute_0_543]) ).
cnf(refute_0_545,plain,
inverse(multiply(Z,divide(divide(X_13,Z),X_12))) = divide(divide(X_12,divide(X_13,Z)),Z),
inference(subst,[],[refute_0_340:[bind(X_10,$fot(Z)),bind(X_51,$fot(divide(X_13,Z))),bind(X_52,$fot(X_12))]]) ).
cnf(refute_0_546,plain,
( divide(divide(X_12,divide(X_13,Z)),Z) != divide(multiply(X_12,divide(Z,X_13)),Z)
| inverse(multiply(Z,divide(divide(X_13,Z),X_12))) != divide(divide(X_12,divide(X_13,Z)),Z)
| inverse(multiply(Z,divide(divide(X_13,Z),X_12))) = divide(multiply(X_12,divide(Z,X_13)),Z) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(inverse(multiply(Z,divide(divide(X_13,Z),X_12))))),bind(Y0,$fot(divide(divide(X_12,divide(X_13,Z)),Z))),bind(Z0,$fot(divide(multiply(X_12,divide(Z,X_13)),Z)))]]) ).
cnf(refute_0_547,plain,
( divide(divide(X_12,divide(X_13,Z)),Z) != divide(multiply(X_12,divide(Z,X_13)),Z)
| inverse(multiply(Z,divide(divide(X_13,Z),X_12))) = divide(multiply(X_12,divide(Z,X_13)),Z) ),
inference(resolve,[$cnf( $equal(inverse(multiply(Z,divide(divide(X_13,Z),X_12))),divide(divide(X_12,divide(X_13,Z)),Z)) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
inverse(multiply(Z,divide(divide(X_13,Z),X_12))) = divide(multiply(X_12,divide(Z,X_13)),Z),
inference(resolve,[$cnf( $equal(divide(divide(X_12,divide(X_13,Z)),Z),divide(multiply(X_12,divide(Z,X_13)),Z)) )],[refute_0_544,refute_0_547]) ).
cnf(refute_0_549,plain,
( inverse(multiply(Z,divide(divide(X_13,Z),X_12))) != divide(X_12,X_13)
| inverse(multiply(Z,divide(divide(X_13,Z),X_12))) != divide(multiply(X_12,divide(Z,X_13)),Z)
| divide(multiply(X_12,divide(Z,X_13)),Z) = divide(X_12,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(Z,divide(divide(X_13,Z),X_12))),divide(X_12,X_13)) ),[0],$fot(divide(multiply(X_12,divide(Z,X_13)),Z))]]) ).
cnf(refute_0_550,plain,
( inverse(multiply(Z,divide(divide(X_13,Z),X_12))) != divide(X_12,X_13)
| divide(multiply(X_12,divide(Z,X_13)),Z) = divide(X_12,X_13) ),
inference(resolve,[$cnf( $equal(inverse(multiply(Z,divide(divide(X_13,Z),X_12))),divide(multiply(X_12,divide(Z,X_13)),Z)) )],[refute_0_548,refute_0_549]) ).
cnf(refute_0_551,plain,
divide(multiply(X_12,divide(Z,X_13)),Z) = divide(X_12,X_13),
inference(resolve,[$cnf( $equal(inverse(multiply(Z,divide(divide(X_13,Z),X_12))),divide(X_12,X_13)) )],[refute_0_539,refute_0_550]) ).
cnf(refute_0_552,plain,
divide(multiply(multiply(X_61,X_29),divide(X_60,X_62)),X_60) = divide(multiply(X_61,X_29),X_62),
inference(subst,[],[refute_0_551:[bind(Z,$fot(X_60)),bind(X_12,$fot(multiply(X_61,X_29))),bind(X_13,$fot(X_62))]]) ).
cnf(refute_0_553,plain,
divide(multiply(X_61,X_29),divide(X_62,X_60)) = multiply(multiply(X_61,X_29),divide(X_60,X_62)),
inference(subst,[],[refute_0_383:[bind(X,$fot(multiply(X_61,X_29))),bind(X_24,$fot(X_60)),bind(X_25,$fot(X_62))]]) ).
cnf(refute_0_554,plain,
divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60) = divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60),
introduced(tautology,[refl,[$fot(divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60))]]) ).
cnf(refute_0_555,plain,
( divide(multiply(X_61,X_29),divide(X_62,X_60)) != multiply(multiply(X_61,X_29),divide(X_60,X_62))
| divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60) != divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60)
| divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60) = divide(multiply(multiply(X_61,X_29),divide(X_60,X_62)),X_60) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60),divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60)) ),[1,0],$fot(multiply(multiply(X_61,X_29),divide(X_60,X_62)))]]) ).
cnf(refute_0_556,plain,
( divide(multiply(X_61,X_29),divide(X_62,X_60)) != multiply(multiply(X_61,X_29),divide(X_60,X_62))
| divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60) = divide(multiply(multiply(X_61,X_29),divide(X_60,X_62)),X_60) ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60),divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60)) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60) = divide(multiply(multiply(X_61,X_29),divide(X_60,X_62)),X_60),
inference(resolve,[$cnf( $equal(divide(multiply(X_61,X_29),divide(X_62,X_60)),multiply(multiply(X_61,X_29),divide(X_60,X_62))) )],[refute_0_553,refute_0_556]) ).
cnf(refute_0_558,plain,
( divide(multiply(multiply(X_61,X_29),divide(X_60,X_62)),X_60) != divide(multiply(X_61,X_29),X_62)
| divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60) != divide(multiply(multiply(X_61,X_29),divide(X_60,X_62)),X_60)
| divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60) = divide(multiply(X_61,X_29),X_62) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60))),bind(Y0,$fot(divide(multiply(multiply(X_61,X_29),divide(X_60,X_62)),X_60))),bind(Z0,$fot(divide(multiply(X_61,X_29),X_62)))]]) ).
cnf(refute_0_559,plain,
( divide(multiply(multiply(X_61,X_29),divide(X_60,X_62)),X_60) != divide(multiply(X_61,X_29),X_62)
| divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60) = divide(multiply(X_61,X_29),X_62) ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60),divide(multiply(multiply(X_61,X_29),divide(X_60,X_62)),X_60)) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60) = divide(multiply(X_61,X_29),X_62),
inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_61,X_29),divide(X_60,X_62)),X_60),divide(multiply(X_61,X_29),X_62)) )],[refute_0_552,refute_0_559]) ).
cnf(refute_0_561,plain,
inverse(multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29)))) = divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60),
inference(subst,[],[refute_0_340:[bind(X_10,$fot(X_60)),bind(X_51,$fot(divide(X_62,X_60))),bind(X_52,$fot(multiply(X_61,X_29)))]]) ).
cnf(refute_0_562,plain,
( divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60) != divide(multiply(X_61,X_29),X_62)
| inverse(multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29)))) != divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60)
| inverse(multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29)))) = divide(multiply(X_61,X_29),X_62) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(inverse(multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29)))))),bind(Y0,$fot(divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60))),bind(Z0,$fot(divide(multiply(X_61,X_29),X_62)))]]) ).
cnf(refute_0_563,plain,
( divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60) != divide(multiply(X_61,X_29),X_62)
| inverse(multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29)))) = divide(multiply(X_61,X_29),X_62) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29)))),divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60)) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
inverse(multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29)))) = divide(multiply(X_61,X_29),X_62),
inference(resolve,[$cnf( $equal(divide(divide(multiply(X_61,X_29),divide(X_62,X_60)),X_60),divide(multiply(X_61,X_29),X_62)) )],[refute_0_560,refute_0_563]) ).
cnf(refute_0_565,plain,
multiply(divide(X_62,X_60),inverse(multiply(X_61,X_29))) = divide(divide(X_62,X_60),multiply(X_61,X_29)),
inference(subst,[],[refute_0_132:[bind(X,$fot(divide(X_62,X_60))),bind(X_14,$fot(multiply(X_61,X_29)))]]) ).
cnf(refute_0_566,plain,
divide(inverse(X_29),X_61) = inverse(multiply(X_61,X_29)),
inference(subst,[],[refute_0_228:[bind(Y,$fot(X_29)),bind(X_24,$fot(X_61))]]) ).
cnf(refute_0_567,plain,
multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)) = multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)),
introduced(tautology,[refl,[$fot(multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))]]) ).
cnf(refute_0_568,plain,
( multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)) != multiply(divide(X_62,X_60),divide(inverse(X_29),X_61))
| divide(inverse(X_29),X_61) != inverse(multiply(X_61,X_29))
| multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)) = multiply(divide(X_62,X_60),inverse(multiply(X_61,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)),multiply(divide(X_62,X_60),divide(inverse(X_29),X_61))) ),[1,1],$fot(inverse(multiply(X_61,X_29)))]]) ).
cnf(refute_0_569,plain,
( divide(inverse(X_29),X_61) != inverse(multiply(X_61,X_29))
| multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)) = multiply(divide(X_62,X_60),inverse(multiply(X_61,X_29))) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)),multiply(divide(X_62,X_60),divide(inverse(X_29),X_61))) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)) = multiply(divide(X_62,X_60),inverse(multiply(X_61,X_29))),
inference(resolve,[$cnf( $equal(divide(inverse(X_29),X_61),inverse(multiply(X_61,X_29))) )],[refute_0_566,refute_0_569]) ).
cnf(refute_0_571,plain,
( multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)) != multiply(divide(X_62,X_60),inverse(multiply(X_61,X_29)))
| multiply(divide(X_62,X_60),inverse(multiply(X_61,X_29))) != divide(divide(X_62,X_60),multiply(X_61,X_29))
| multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)) = divide(divide(X_62,X_60),multiply(X_61,X_29)) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))),bind(Y0,$fot(multiply(divide(X_62,X_60),inverse(multiply(X_61,X_29))))),bind(Z0,$fot(divide(divide(X_62,X_60),multiply(X_61,X_29))))]]) ).
cnf(refute_0_572,plain,
( multiply(divide(X_62,X_60),inverse(multiply(X_61,X_29))) != divide(divide(X_62,X_60),multiply(X_61,X_29))
| multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)) = divide(divide(X_62,X_60),multiply(X_61,X_29)) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)),multiply(divide(X_62,X_60),inverse(multiply(X_61,X_29)))) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)) = divide(divide(X_62,X_60),multiply(X_61,X_29)),
inference(resolve,[$cnf( $equal(multiply(divide(X_62,X_60),inverse(multiply(X_61,X_29))),divide(divide(X_62,X_60),multiply(X_61,X_29))) )],[refute_0_565,refute_0_572]) ).
cnf(refute_0_574,plain,
multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61))) = multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61))),
introduced(tautology,[refl,[$fot(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61))))]]) ).
cnf(refute_0_575,plain,
( multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61))) != multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))
| multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)) != divide(divide(X_62,X_60),multiply(X_61,X_29))
| multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61))) = multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61))),multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))) ),[1,1],$fot(divide(divide(X_62,X_60),multiply(X_61,X_29)))]]) ).
cnf(refute_0_576,plain,
( multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)) != divide(divide(X_62,X_60),multiply(X_61,X_29))
| multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61))) = multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29))) ),
inference(resolve,[$cnf( $equal(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61))),multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61))) = multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29))),
inference(resolve,[$cnf( $equal(multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)),divide(divide(X_62,X_60),multiply(X_61,X_29))) )],[refute_0_573,refute_0_576]) ).
cnf(refute_0_578,plain,
inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))) = inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))))]]) ).
cnf(refute_0_579,plain,
( multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61))) != multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29)))
| inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))) != inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61))))
| inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))) = inverse(multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))),inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61))))) ),[1,0],$fot(multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29))))]]) ).
cnf(refute_0_580,plain,
( multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61))) != multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29)))
| inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))) = inverse(multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))),inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61))))) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))) = inverse(multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29)))),
inference(resolve,[$cnf( $equal(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61))),multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29)))) )],[refute_0_577,refute_0_580]) ).
cnf(refute_0_582,plain,
( inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))) != inverse(multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29))))
| inverse(multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29)))) != divide(multiply(X_61,X_29),X_62)
| inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))) = divide(multiply(X_61,X_29),X_62) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))))),bind(Y0,$fot(inverse(multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29)))))),bind(Z0,$fot(divide(multiply(X_61,X_29),X_62)))]]) ).
cnf(refute_0_583,plain,
( inverse(multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29)))) != divide(multiply(X_61,X_29),X_62)
| inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))) = divide(multiply(X_61,X_29),X_62) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))),inverse(multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29))))) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))) = divide(multiply(X_61,X_29),X_62),
inference(resolve,[$cnf( $equal(inverse(multiply(X_60,divide(divide(X_62,X_60),multiply(X_61,X_29)))),divide(multiply(X_61,X_29),X_62)) )],[refute_0_564,refute_0_583]) ).
cnf(refute_0_585,plain,
( inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))) != multiply(X_29,divide(X_61,X_62))
| inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))) != divide(multiply(X_61,X_29),X_62)
| divide(multiply(X_61,X_29),X_62) = multiply(X_29,divide(X_61,X_62)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))),multiply(X_29,divide(X_61,X_62))) ),[0],$fot(divide(multiply(X_61,X_29),X_62))]]) ).
cnf(refute_0_586,plain,
( inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))) != multiply(X_29,divide(X_61,X_62))
| divide(multiply(X_61,X_29),X_62) = multiply(X_29,divide(X_61,X_62)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))),divide(multiply(X_61,X_29),X_62)) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
divide(multiply(X_61,X_29),X_62) = multiply(X_29,divide(X_61,X_62)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_60,multiply(divide(X_62,X_60),divide(inverse(X_29),X_61)))),multiply(X_29,divide(X_61,X_62))) )],[refute_0_499,refute_0_586]) ).
cnf(refute_0_588,plain,
divide(multiply(X_88,Y),X_86) = multiply(Y,divide(X_88,X_86)),
inference(subst,[],[refute_0_587:[bind(X_29,$fot(Y)),bind(X_61,$fot(X_88)),bind(X_62,$fot(X_86))]]) ).
cnf(refute_0_589,plain,
inverse(divide(X_86,multiply(X_88,Y))) = divide(multiply(X_88,Y),X_86),
inference(subst,[],[refute_0_219:[bind(X_10,$fot(X_86)),bind(X_22,$fot(multiply(X_88,Y)))]]) ).
cnf(refute_0_590,plain,
( divide(multiply(X_88,Y),X_86) != multiply(Y,divide(X_88,X_86))
| inverse(divide(X_86,multiply(X_88,Y))) != divide(multiply(X_88,Y),X_86)
| inverse(divide(X_86,multiply(X_88,Y))) = multiply(Y,divide(X_88,X_86)) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(inverse(divide(X_86,multiply(X_88,Y))))),bind(Y0,$fot(divide(multiply(X_88,Y),X_86))),bind(Z0,$fot(multiply(Y,divide(X_88,X_86))))]]) ).
cnf(refute_0_591,plain,
( divide(multiply(X_88,Y),X_86) != multiply(Y,divide(X_88,X_86))
| inverse(divide(X_86,multiply(X_88,Y))) = multiply(Y,divide(X_88,X_86)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_86,multiply(X_88,Y))),divide(multiply(X_88,Y),X_86)) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
inverse(divide(X_86,multiply(X_88,Y))) = multiply(Y,divide(X_88,X_86)),
inference(resolve,[$cnf( $equal(divide(multiply(X_88,Y),X_86),multiply(Y,divide(X_88,X_86))) )],[refute_0_588,refute_0_591]) ).
cnf(refute_0_593,plain,
multiply(X_86,inverse(multiply(X_88,Y))) = divide(X_86,multiply(X_88,Y)),
inference(subst,[],[refute_0_132:[bind(X,$fot(X_86)),bind(X_14,$fot(multiply(X_88,Y)))]]) ).
cnf(refute_0_594,plain,
inverse(multiply(X_86,inverse(multiply(X_88,Y)))) = inverse(multiply(X_86,inverse(multiply(X_88,Y)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_86,inverse(multiply(X_88,Y)))))]]) ).
cnf(refute_0_595,plain,
( multiply(X_86,inverse(multiply(X_88,Y))) != divide(X_86,multiply(X_88,Y))
| inverse(multiply(X_86,inverse(multiply(X_88,Y)))) != inverse(multiply(X_86,inverse(multiply(X_88,Y))))
| inverse(multiply(X_86,inverse(multiply(X_88,Y)))) = inverse(divide(X_86,multiply(X_88,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_86,inverse(multiply(X_88,Y)))),inverse(multiply(X_86,inverse(multiply(X_88,Y))))) ),[1,0],$fot(divide(X_86,multiply(X_88,Y)))]]) ).
cnf(refute_0_596,plain,
( multiply(X_86,inverse(multiply(X_88,Y))) != divide(X_86,multiply(X_88,Y))
| inverse(multiply(X_86,inverse(multiply(X_88,Y)))) = inverse(divide(X_86,multiply(X_88,Y))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_86,inverse(multiply(X_88,Y)))),inverse(multiply(X_86,inverse(multiply(X_88,Y))))) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
inverse(multiply(X_86,inverse(multiply(X_88,Y)))) = inverse(divide(X_86,multiply(X_88,Y))),
inference(resolve,[$cnf( $equal(multiply(X_86,inverse(multiply(X_88,Y))),divide(X_86,multiply(X_88,Y))) )],[refute_0_593,refute_0_596]) ).
cnf(refute_0_598,plain,
( inverse(multiply(X_86,inverse(multiply(X_88,Y)))) != inverse(divide(X_86,multiply(X_88,Y)))
| inverse(divide(X_86,multiply(X_88,Y))) != multiply(Y,divide(X_88,X_86))
| inverse(multiply(X_86,inverse(multiply(X_88,Y)))) = multiply(Y,divide(X_88,X_86)) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(inverse(multiply(X_86,inverse(multiply(X_88,Y)))))),bind(Y0,$fot(inverse(divide(X_86,multiply(X_88,Y))))),bind(Z0,$fot(multiply(Y,divide(X_88,X_86))))]]) ).
cnf(refute_0_599,plain,
( inverse(divide(X_86,multiply(X_88,Y))) != multiply(Y,divide(X_88,X_86))
| inverse(multiply(X_86,inverse(multiply(X_88,Y)))) = multiply(Y,divide(X_88,X_86)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_86,inverse(multiply(X_88,Y)))),inverse(divide(X_86,multiply(X_88,Y)))) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
inverse(multiply(X_86,inverse(multiply(X_88,Y)))) = multiply(Y,divide(X_88,X_86)),
inference(resolve,[$cnf( $equal(inverse(divide(X_86,multiply(X_88,Y))),multiply(Y,divide(X_88,X_86))) )],[refute_0_592,refute_0_599]) ).
cnf(refute_0_601,plain,
( inverse(multiply(X_86,inverse(multiply(X_88,Y)))) != multiply(Y,divide(X_88,X_86))
| inverse(multiply(X_86,inverse(multiply(X_88,Y)))) != divide(X_88,multiply(inverse(Y),X_86))
| multiply(Y,divide(X_88,X_86)) = divide(X_88,multiply(inverse(Y),X_86)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_86,inverse(multiply(X_88,Y)))),divide(X_88,multiply(inverse(Y),X_86))) ),[0],$fot(multiply(Y,divide(X_88,X_86)))]]) ).
cnf(refute_0_602,plain,
( inverse(multiply(X_86,inverse(multiply(X_88,Y)))) != divide(X_88,multiply(inverse(Y),X_86))
| multiply(Y,divide(X_88,X_86)) = divide(X_88,multiply(inverse(Y),X_86)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_86,inverse(multiply(X_88,Y)))),multiply(Y,divide(X_88,X_86))) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
divide(X_88,divide(X_86,Y)) = multiply(X_88,divide(Y,X_86)),
inference(subst,[],[refute_0_383:[bind(X,$fot(X_88)),bind(X_24,$fot(Y)),bind(X_25,$fot(X_86))]]) ).
cnf(refute_0_604,plain,
multiply(inverse(Y),X_86) = divide(X_86,Y),
inference(subst,[],[refute_0_92:[bind(X_12,$fot(X_86)),bind(X_13,$fot(Y))]]) ).
cnf(refute_0_605,plain,
divide(X_88,multiply(inverse(Y),X_86)) = divide(X_88,multiply(inverse(Y),X_86)),
introduced(tautology,[refl,[$fot(divide(X_88,multiply(inverse(Y),X_86)))]]) ).
cnf(refute_0_606,plain,
( multiply(inverse(Y),X_86) != divide(X_86,Y)
| divide(X_88,multiply(inverse(Y),X_86)) != divide(X_88,multiply(inverse(Y),X_86))
| divide(X_88,multiply(inverse(Y),X_86)) = divide(X_88,divide(X_86,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_88,multiply(inverse(Y),X_86)),divide(X_88,multiply(inverse(Y),X_86))) ),[1,1],$fot(divide(X_86,Y))]]) ).
cnf(refute_0_607,plain,
( multiply(inverse(Y),X_86) != divide(X_86,Y)
| divide(X_88,multiply(inverse(Y),X_86)) = divide(X_88,divide(X_86,Y)) ),
inference(resolve,[$cnf( $equal(divide(X_88,multiply(inverse(Y),X_86)),divide(X_88,multiply(inverse(Y),X_86))) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
divide(X_88,multiply(inverse(Y),X_86)) = divide(X_88,divide(X_86,Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),X_86),divide(X_86,Y)) )],[refute_0_604,refute_0_607]) ).
cnf(refute_0_609,plain,
( divide(X_88,multiply(inverse(Y),X_86)) != divide(X_88,divide(X_86,Y))
| divide(X_88,divide(X_86,Y)) != multiply(X_88,divide(Y,X_86))
| divide(X_88,multiply(inverse(Y),X_86)) = multiply(X_88,divide(Y,X_86)) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(divide(X_88,multiply(inverse(Y),X_86)))),bind(Y0,$fot(divide(X_88,divide(X_86,Y)))),bind(Z0,$fot(multiply(X_88,divide(Y,X_86))))]]) ).
cnf(refute_0_610,plain,
( divide(X_88,divide(X_86,Y)) != multiply(X_88,divide(Y,X_86))
| divide(X_88,multiply(inverse(Y),X_86)) = multiply(X_88,divide(Y,X_86)) ),
inference(resolve,[$cnf( $equal(divide(X_88,multiply(inverse(Y),X_86)),divide(X_88,divide(X_86,Y))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
divide(X_88,multiply(inverse(Y),X_86)) = multiply(X_88,divide(Y,X_86)),
inference(resolve,[$cnf( $equal(divide(X_88,divide(X_86,Y)),multiply(X_88,divide(Y,X_86))) )],[refute_0_603,refute_0_610]) ).
cnf(refute_0_612,plain,
( multiply(Y,divide(X_88,X_86)) != divide(X_88,multiply(inverse(Y),X_86))
| divide(X_88,multiply(inverse(Y),X_86)) != multiply(X_88,divide(Y,X_86))
| multiply(Y,divide(X_88,X_86)) = multiply(X_88,divide(Y,X_86)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(Y,divide(X_88,X_86)),multiply(X_88,divide(Y,X_86))) ),[0],$fot(divide(X_88,multiply(inverse(Y),X_86)))]]) ).
cnf(refute_0_613,plain,
( multiply(Y,divide(X_88,X_86)) != divide(X_88,multiply(inverse(Y),X_86))
| multiply(Y,divide(X_88,X_86)) = multiply(X_88,divide(Y,X_86)) ),
inference(resolve,[$cnf( $equal(divide(X_88,multiply(inverse(Y),X_86)),multiply(X_88,divide(Y,X_86))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
( inverse(multiply(X_86,inverse(multiply(X_88,Y)))) != divide(X_88,multiply(inverse(Y),X_86))
| multiply(Y,divide(X_88,X_86)) = multiply(X_88,divide(Y,X_86)) ),
inference(resolve,[$cnf( $equal(multiply(Y,divide(X_88,X_86)),divide(X_88,multiply(inverse(Y),X_86))) )],[refute_0_602,refute_0_613]) ).
cnf(refute_0_615,plain,
multiply(Y,divide(X_88,X_86)) = multiply(X_88,divide(Y,X_86)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_86,inverse(multiply(X_88,Y)))),divide(X_88,multiply(inverse(Y),X_86))) )],[refute_0_463,refute_0_614]) ).
cnf(refute_0_616,plain,
( multiply(Y,divide(X_88,X_86)) != multiply(X_88,divide(Y,X_86))
| multiply(X_88,divide(Y,X_86)) = multiply(Y,divide(X_88,X_86)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(Y,divide(X_88,X_86)))),bind(Y0,$fot(multiply(X_88,divide(Y,X_86))))]]) ).
cnf(refute_0_617,plain,
multiply(X_88,divide(Y,X_86)) = multiply(Y,divide(X_88,X_86)),
inference(resolve,[$cnf( $equal(multiply(Y,divide(X_88,X_86)),multiply(X_88,divide(Y,X_86))) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
multiply(b2,divide(a2,b2)) = multiply(a2,divide(b2,b2)),
inference(subst,[],[refute_0_617:[bind(Y,$fot(a2)),bind(X_86,$fot(b2)),bind(X_88,$fot(b2))]]) ).
cnf(refute_0_619,plain,
( multiply(a2,divide(b2,b2)) != a2
| multiply(b2,divide(a2,b2)) != multiply(a2,divide(b2,b2))
| multiply(b2,divide(a2,b2)) = a2 ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(b2,divide(a2,b2)))),bind(Y0,$fot(multiply(a2,divide(b2,b2)))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_620,plain,
( multiply(a2,divide(b2,b2)) != a2
| multiply(b2,divide(a2,b2)) = a2 ),
inference(resolve,[$cnf( $equal(multiply(b2,divide(a2,b2)),multiply(a2,divide(b2,b2))) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
multiply(b2,divide(a2,b2)) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,divide(b2,b2)),a2) )],[refute_0_328,refute_0_620]) ).
cnf(refute_0_622,plain,
multiply(a2,inverse(b2)) = divide(a2,b2),
inference(subst,[],[refute_0_132:[bind(X,$fot(a2)),bind(X_14,$fot(b2))]]) ).
cnf(refute_0_623,plain,
multiply(b2,multiply(a2,inverse(b2))) = multiply(b2,multiply(a2,inverse(b2))),
introduced(tautology,[refl,[$fot(multiply(b2,multiply(a2,inverse(b2))))]]) ).
cnf(refute_0_624,plain,
( multiply(a2,inverse(b2)) != divide(a2,b2)
| multiply(b2,multiply(a2,inverse(b2))) != multiply(b2,multiply(a2,inverse(b2)))
| multiply(b2,multiply(a2,inverse(b2))) = multiply(b2,divide(a2,b2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b2,multiply(a2,inverse(b2))),multiply(b2,multiply(a2,inverse(b2)))) ),[1,1],$fot(divide(a2,b2))]]) ).
cnf(refute_0_625,plain,
( multiply(a2,inverse(b2)) != divide(a2,b2)
| multiply(b2,multiply(a2,inverse(b2))) = multiply(b2,divide(a2,b2)) ),
inference(resolve,[$cnf( $equal(multiply(b2,multiply(a2,inverse(b2))),multiply(b2,multiply(a2,inverse(b2)))) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
multiply(b2,multiply(a2,inverse(b2))) = multiply(b2,divide(a2,b2)),
inference(resolve,[$cnf( $equal(multiply(a2,inverse(b2)),divide(a2,b2)) )],[refute_0_622,refute_0_625]) ).
cnf(refute_0_627,plain,
( multiply(b2,multiply(a2,inverse(b2))) != multiply(b2,divide(a2,b2))
| multiply(b2,divide(a2,b2)) != a2
| multiply(b2,multiply(a2,inverse(b2))) = a2 ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(b2,multiply(a2,inverse(b2))))),bind(Y0,$fot(multiply(b2,divide(a2,b2)))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_628,plain,
( multiply(b2,divide(a2,b2)) != a2
| multiply(b2,multiply(a2,inverse(b2))) = a2 ),
inference(resolve,[$cnf( $equal(multiply(b2,multiply(a2,inverse(b2))),multiply(b2,divide(a2,b2))) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
multiply(b2,multiply(a2,inverse(b2))) = a2,
inference(resolve,[$cnf( $equal(multiply(b2,divide(a2,b2)),a2) )],[refute_0_621,refute_0_628]) ).
cnf(refute_0_630,plain,
multiply(X,multiply(X_53,X_54)) = divide(X,inverse(multiply(X_53,X_54))),
inference(subst,[],[refute_0_15:[bind(Y,$fot(multiply(X_53,X_54)))]]) ).
cnf(refute_0_631,plain,
inverse(inverse(divide(divide(X_22,X_23),X_22))) = divide(divide(X_22,X_23),X_22),
inference(subst,[],[refute_0_128:[bind(X_13,$fot(divide(divide(X_22,X_23),X_22)))]]) ).
cnf(refute_0_632,plain,
inverse(divide(divide(X_22,X_23),X_22)) = X_23,
inference(subst,[],[refute_0_214:[bind(X_7,$fot(X_22)),bind(X_8,$fot(X_23))]]) ).
cnf(refute_0_633,plain,
( inverse(divide(divide(X_22,X_23),X_22)) != X_23
| inverse(inverse(divide(divide(X_22,X_23),X_22))) != divide(divide(X_22,X_23),X_22)
| inverse(X_23) = divide(divide(X_22,X_23),X_22) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(divide(X_22,X_23),X_22))),divide(divide(X_22,X_23),X_22)) ),[0,0],$fot(X_23)]]) ).
cnf(refute_0_634,plain,
( inverse(inverse(divide(divide(X_22,X_23),X_22))) != divide(divide(X_22,X_23),X_22)
| inverse(X_23) = divide(divide(X_22,X_23),X_22) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_22,X_23),X_22)),X_23) )],[refute_0_632,refute_0_633]) ).
cnf(refute_0_635,plain,
inverse(X_23) = divide(divide(X_22,X_23),X_22),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(divide(X_22,X_23),X_22))),divide(divide(X_22,X_23),X_22)) )],[refute_0_631,refute_0_634]) ).
cnf(refute_0_636,plain,
inverse(multiply(X_29,X_37)) = divide(divide(X_37,multiply(X_29,X_37)),X_37),
inference(subst,[],[refute_0_635:[bind(X_22,$fot(X_37)),bind(X_23,$fot(multiply(X_29,X_37)))]]) ).
cnf(refute_0_637,plain,
inverse(X_29) = divide(X_37,multiply(X_29,X_37)),
inference(subst,[],[refute_0_420:[bind(X_22,$fot(X_37))]]) ).
cnf(refute_0_638,plain,
( inverse(X_29) != divide(X_37,multiply(X_29,X_37))
| divide(X_37,multiply(X_29,X_37)) = inverse(X_29) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_29))),bind(Y0,$fot(divide(X_37,multiply(X_29,X_37))))]]) ).
cnf(refute_0_639,plain,
divide(X_37,multiply(X_29,X_37)) = inverse(X_29),
inference(resolve,[$cnf( $equal(inverse(X_29),divide(X_37,multiply(X_29,X_37))) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
( divide(X_37,multiply(X_29,X_37)) != inverse(X_29)
| inverse(multiply(X_29,X_37)) != divide(divide(X_37,multiply(X_29,X_37)),X_37)
| inverse(multiply(X_29,X_37)) = divide(inverse(X_29),X_37) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_29,X_37)),divide(divide(X_37,multiply(X_29,X_37)),X_37)) ),[1,0],$fot(inverse(X_29))]]) ).
cnf(refute_0_641,plain,
( inverse(multiply(X_29,X_37)) != divide(divide(X_37,multiply(X_29,X_37)),X_37)
| inverse(multiply(X_29,X_37)) = divide(inverse(X_29),X_37) ),
inference(resolve,[$cnf( $equal(divide(X_37,multiply(X_29,X_37)),inverse(X_29)) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
inverse(multiply(X_29,X_37)) = divide(inverse(X_29),X_37),
inference(resolve,[$cnf( $equal(inverse(multiply(X_29,X_37)),divide(divide(X_37,multiply(X_29,X_37)),X_37)) )],[refute_0_636,refute_0_641]) ).
cnf(refute_0_643,plain,
divide(inverse(X_29),X_37) = inverse(multiply(X_37,X_29)),
inference(subst,[],[refute_0_228:[bind(Y,$fot(X_29)),bind(X_24,$fot(X_37))]]) ).
cnf(refute_0_644,plain,
( divide(inverse(X_29),X_37) != inverse(multiply(X_37,X_29))
| inverse(multiply(X_29,X_37)) != divide(inverse(X_29),X_37)
| inverse(multiply(X_29,X_37)) = inverse(multiply(X_37,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_29,X_37)),divide(inverse(X_29),X_37)) ),[1],$fot(inverse(multiply(X_37,X_29)))]]) ).
cnf(refute_0_645,plain,
( inverse(multiply(X_29,X_37)) != divide(inverse(X_29),X_37)
| inverse(multiply(X_29,X_37)) = inverse(multiply(X_37,X_29)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_29),X_37),inverse(multiply(X_37,X_29))) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
inverse(multiply(X_29,X_37)) = inverse(multiply(X_37,X_29)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_29,X_37)),divide(inverse(X_29),X_37)) )],[refute_0_642,refute_0_645]) ).
cnf(refute_0_647,plain,
inverse(multiply(X_53,X_54)) = inverse(multiply(X_54,X_53)),
inference(subst,[],[refute_0_646:[bind(X_29,$fot(X_53)),bind(X_37,$fot(X_54))]]) ).
cnf(refute_0_648,plain,
( multiply(X,multiply(X_53,X_54)) != divide(X,inverse(multiply(X_53,X_54)))
| inverse(multiply(X_53,X_54)) != inverse(multiply(X_54,X_53))
| multiply(X,multiply(X_53,X_54)) = divide(X,inverse(multiply(X_54,X_53))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_53,X_54)),divide(X,inverse(multiply(X_53,X_54)))) ),[1,1],$fot(inverse(multiply(X_54,X_53)))]]) ).
cnf(refute_0_649,plain,
( multiply(X,multiply(X_53,X_54)) != divide(X,inverse(multiply(X_53,X_54)))
| multiply(X,multiply(X_53,X_54)) = divide(X,inverse(multiply(X_54,X_53))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_53,X_54)),inverse(multiply(X_54,X_53))) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
multiply(X,multiply(X_53,X_54)) = divide(X,inverse(multiply(X_54,X_53))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_53,X_54)),divide(X,inverse(multiply(X_53,X_54)))) )],[refute_0_630,refute_0_649]) ).
cnf(refute_0_651,plain,
divide(X,inverse(multiply(X_54,X_53))) = multiply(X,multiply(X_54,X_53)),
inference(subst,[],[refute_0_59:[bind(Y,$fot(multiply(X_54,X_53)))]]) ).
cnf(refute_0_652,plain,
( multiply(X,multiply(X_53,X_54)) != divide(X,inverse(multiply(X_54,X_53)))
| divide(X,inverse(multiply(X_54,X_53))) != multiply(X,multiply(X_54,X_53))
| multiply(X,multiply(X_53,X_54)) = multiply(X,multiply(X_54,X_53)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,multiply(X_53,X_54)),multiply(X,multiply(X_54,X_53))) ),[0],$fot(divide(X,inverse(multiply(X_54,X_53))))]]) ).
cnf(refute_0_653,plain,
( multiply(X,multiply(X_53,X_54)) != divide(X,inverse(multiply(X_54,X_53)))
| multiply(X,multiply(X_53,X_54)) = multiply(X,multiply(X_54,X_53)) ),
inference(resolve,[$cnf( $equal(divide(X,inverse(multiply(X_54,X_53))),multiply(X,multiply(X_54,X_53))) )],[refute_0_651,refute_0_652]) ).
cnf(refute_0_654,plain,
multiply(X,multiply(X_53,X_54)) = multiply(X,multiply(X_54,X_53)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_53,X_54)),divide(X,inverse(multiply(X_54,X_53)))) )],[refute_0_650,refute_0_653]) ).
cnf(refute_0_655,plain,
( multiply(X,multiply(X_53,X_54)) != multiply(X,multiply(X_54,X_53))
| multiply(X,multiply(X_54,X_53)) = multiply(X,multiply(X_53,X_54)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,multiply(X_53,X_54)))),bind(Y0,$fot(multiply(X,multiply(X_54,X_53))))]]) ).
cnf(refute_0_656,plain,
multiply(X,multiply(X_54,X_53)) = multiply(X,multiply(X_53,X_54)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_53,X_54)),multiply(X,multiply(X_54,X_53))) )],[refute_0_654,refute_0_655]) ).
cnf(refute_0_657,plain,
multiply(b2,multiply(inverse(b2),a2)) = multiply(b2,multiply(a2,inverse(b2))),
inference(subst,[],[refute_0_656:[bind(X,$fot(b2)),bind(X_53,$fot(a2)),bind(X_54,$fot(inverse(b2)))]]) ).
cnf(refute_0_658,plain,
multiply(multiply(X_80,X_79),Y) = divide(multiply(X_80,X_79),inverse(Y)),
inference(subst,[],[refute_0_15:[bind(X,$fot(multiply(X_80,X_79)))]]) ).
cnf(refute_0_659,plain,
divide(multiply(X_80,X_79),inverse(Y)) = multiply(X_79,divide(X_80,inverse(Y))),
inference(subst,[],[refute_0_587:[bind(X_29,$fot(X_79)),bind(X_61,$fot(X_80)),bind(X_62,$fot(inverse(Y)))]]) ).
cnf(refute_0_660,plain,
( multiply(multiply(X_80,X_79),Y) != divide(multiply(X_80,X_79),inverse(Y))
| divide(multiply(X_80,X_79),inverse(Y)) != multiply(X_79,divide(X_80,inverse(Y)))
| multiply(multiply(X_80,X_79),Y) = multiply(X_79,divide(X_80,inverse(Y))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_80,X_79),Y),multiply(X_79,divide(X_80,inverse(Y)))) ),[0],$fot(divide(multiply(X_80,X_79),inverse(Y)))]]) ).
cnf(refute_0_661,plain,
( multiply(multiply(X_80,X_79),Y) != divide(multiply(X_80,X_79),inverse(Y))
| multiply(multiply(X_80,X_79),Y) = multiply(X_79,divide(X_80,inverse(Y))) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_80,X_79),inverse(Y)),multiply(X_79,divide(X_80,inverse(Y)))) )],[refute_0_659,refute_0_660]) ).
cnf(refute_0_662,plain,
multiply(multiply(X_80,X_79),Y) = multiply(X_79,divide(X_80,inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_80,X_79),Y),divide(multiply(X_80,X_79),inverse(Y))) )],[refute_0_658,refute_0_661]) ).
cnf(refute_0_663,plain,
divide(X_80,inverse(Y)) = multiply(X_80,Y),
inference(subst,[],[refute_0_59:[bind(X,$fot(X_80))]]) ).
cnf(refute_0_664,plain,
multiply(X_79,divide(X_80,inverse(Y))) = multiply(X_79,divide(X_80,inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(X_79,divide(X_80,inverse(Y))))]]) ).
cnf(refute_0_665,plain,
( multiply(X_79,divide(X_80,inverse(Y))) != multiply(X_79,divide(X_80,inverse(Y)))
| divide(X_80,inverse(Y)) != multiply(X_80,Y)
| multiply(X_79,divide(X_80,inverse(Y))) = multiply(X_79,multiply(X_80,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_79,divide(X_80,inverse(Y))),multiply(X_79,divide(X_80,inverse(Y)))) ),[1,1],$fot(multiply(X_80,Y))]]) ).
cnf(refute_0_666,plain,
( divide(X_80,inverse(Y)) != multiply(X_80,Y)
| multiply(X_79,divide(X_80,inverse(Y))) = multiply(X_79,multiply(X_80,Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_79,divide(X_80,inverse(Y))),multiply(X_79,divide(X_80,inverse(Y)))) )],[refute_0_664,refute_0_665]) ).
cnf(refute_0_667,plain,
multiply(X_79,divide(X_80,inverse(Y))) = multiply(X_79,multiply(X_80,Y)),
inference(resolve,[$cnf( $equal(divide(X_80,inverse(Y)),multiply(X_80,Y)) )],[refute_0_663,refute_0_666]) ).
cnf(refute_0_668,plain,
( multiply(X_79,divide(X_80,inverse(Y))) != multiply(X_79,multiply(X_80,Y))
| multiply(multiply(X_80,X_79),Y) != multiply(X_79,divide(X_80,inverse(Y)))
| multiply(multiply(X_80,X_79),Y) = multiply(X_79,multiply(X_80,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_80,X_79),Y),multiply(X_79,divide(X_80,inverse(Y)))) ),[1],$fot(multiply(X_79,multiply(X_80,Y)))]]) ).
cnf(refute_0_669,plain,
( multiply(multiply(X_80,X_79),Y) != multiply(X_79,divide(X_80,inverse(Y)))
| multiply(multiply(X_80,X_79),Y) = multiply(X_79,multiply(X_80,Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_79,divide(X_80,inverse(Y))),multiply(X_79,multiply(X_80,Y))) )],[refute_0_667,refute_0_668]) ).
cnf(refute_0_670,plain,
multiply(multiply(X_80,X_79),Y) = multiply(X_79,multiply(X_80,Y)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_80,X_79),Y),multiply(X_79,divide(X_80,inverse(Y)))) )],[refute_0_662,refute_0_669]) ).
cnf(refute_0_671,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(b2,multiply(inverse(b2),a2)),
inference(subst,[],[refute_0_670:[bind(Y,$fot(a2)),bind(X_79,$fot(b2)),bind(X_80,$fot(inverse(b2)))]]) ).
cnf(refute_0_672,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(b2,multiply(inverse(b2),a2))
| multiply(b2,multiply(inverse(b2),a2)) != multiply(b2,multiply(a2,inverse(b2)))
| multiply(multiply(inverse(b2),b2),a2) = multiply(b2,multiply(a2,inverse(b2))) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y0,$fot(multiply(b2,multiply(inverse(b2),a2)))),bind(Z0,$fot(multiply(b2,multiply(a2,inverse(b2)))))]]) ).
cnf(refute_0_673,plain,
( multiply(b2,multiply(inverse(b2),a2)) != multiply(b2,multiply(a2,inverse(b2)))
| multiply(multiply(inverse(b2),b2),a2) = multiply(b2,multiply(a2,inverse(b2))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(b2,multiply(inverse(b2),a2))) )],[refute_0_671,refute_0_672]) ).
cnf(refute_0_674,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(b2,multiply(a2,inverse(b2))),
inference(resolve,[$cnf( $equal(multiply(b2,multiply(inverse(b2),a2)),multiply(b2,multiply(a2,inverse(b2)))) )],[refute_0_657,refute_0_673]) ).
cnf(refute_0_675,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(b2,multiply(a2,inverse(b2)))
| multiply(b2,multiply(a2,inverse(b2))) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y0,$fot(multiply(b2,multiply(a2,inverse(b2))))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_676,plain,
( multiply(b2,multiply(a2,inverse(b2))) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(b2,multiply(a2,inverse(b2)))) )],[refute_0_674,refute_0_675]) ).
cnf(refute_0_677,plain,
multiply(multiply(inverse(b2),b2),a2) = a2,
inference(resolve,[$cnf( $equal(multiply(b2,multiply(a2,inverse(b2))),a2) )],[refute_0_629,refute_0_676]) ).
cnf(refute_0_678,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_679,plain,
( a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_677,refute_0_678]) ).
cnf(refute_0_680,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4)
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_679,refute_0_319]) ).
cnf(refute_0_681,plain,
multiply(multiply(a3,b3),c3) = multiply(b3,multiply(a3,c3)),
inference(subst,[],[refute_0_670:[bind(Y,$fot(c3)),bind(X_79,$fot(b3)),bind(X_80,$fot(a3))]]) ).
cnf(refute_0_682,plain,
( multiply(multiply(a3,b3),c3) != multiply(b3,multiply(a3,c3))
| multiply(b3,multiply(a3,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(b3,multiply(a3,c3)))]]) ).
cnf(refute_0_683,plain,
( multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(b3,multiply(a3,c3))) )],[refute_0_681,refute_0_682]) ).
cnf(refute_0_684,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_683,refute_0_680]) ).
cnf(refute_0_685,plain,
multiply(a4,b4) = multiply(a4,b4),
introduced(tautology,[refl,[$fot(multiply(a4,b4))]]) ).
cnf(refute_0_686,plain,
( multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(a4,b4)) )],[refute_0_685,refute_0_684]) ).
cnf(refute_0_687,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_688,plain,
( multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| identity != identity ),
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_687,refute_0_686]) ).
cnf(refute_0_689,plain,
identity = identity,
introduced(tautology,[refl,[$fot(identity)]]) ).
cnf(refute_0_690,plain,
multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(identity,identity) )],[refute_0_689,refute_0_688]) ).
cnf(refute_0_691,plain,
multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_656:[bind(X,$fot(a3)),bind(X_53,$fot(b3)),bind(X_54,$fot(c3))]]) ).
cnf(refute_0_692,plain,
inverse(divide(divide(X_25,X_10),X_25)) = divide(X_25,divide(X_25,X_10)),
inference(subst,[],[refute_0_219:[bind(X_10,$fot(divide(X_25,X_10))),bind(X_22,$fot(X_25))]]) ).
cnf(refute_0_693,plain,
divide(X_25,divide(X_25,X_10)) = X_10,
inference(subst,[],[refute_0_166:[bind(Y,$fot(X_25))]]) ).
cnf(refute_0_694,plain,
( divide(X_25,divide(X_25,X_10)) != X_10
| inverse(divide(divide(X_25,X_10),X_25)) != divide(X_25,divide(X_25,X_10))
| inverse(divide(divide(X_25,X_10),X_25)) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_25,X_10),X_25)),divide(X_25,divide(X_25,X_10))) ),[1],$fot(X_10)]]) ).
cnf(refute_0_695,plain,
( inverse(divide(divide(X_25,X_10),X_25)) != divide(X_25,divide(X_25,X_10))
| inverse(divide(divide(X_25,X_10),X_25)) = X_10 ),
inference(resolve,[$cnf( $equal(divide(X_25,divide(X_25,X_10)),X_10) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
inverse(divide(divide(X_25,X_10),X_25)) = X_10,
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_25,X_10),X_25)),divide(X_25,divide(X_25,X_10))) )],[refute_0_692,refute_0_695]) ).
cnf(refute_0_697,plain,
divide(X_25,divide(X_25,X_10)) = multiply(X_25,divide(X_10,X_25)),
inference(subst,[],[refute_0_383:[bind(X,$fot(X_25)),bind(X_24,$fot(X_10))]]) ).
cnf(refute_0_698,plain,
( divide(X_25,divide(X_25,X_10)) != multiply(X_25,divide(X_10,X_25))
| inverse(divide(divide(X_25,X_10),X_25)) != divide(X_25,divide(X_25,X_10))
| inverse(divide(divide(X_25,X_10),X_25)) = multiply(X_25,divide(X_10,X_25)) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(inverse(divide(divide(X_25,X_10),X_25)))),bind(Y0,$fot(divide(X_25,divide(X_25,X_10)))),bind(Z0,$fot(multiply(X_25,divide(X_10,X_25))))]]) ).
cnf(refute_0_699,plain,
( divide(X_25,divide(X_25,X_10)) != multiply(X_25,divide(X_10,X_25))
| inverse(divide(divide(X_25,X_10),X_25)) = multiply(X_25,divide(X_10,X_25)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_25,X_10),X_25)),divide(X_25,divide(X_25,X_10))) )],[refute_0_692,refute_0_698]) ).
cnf(refute_0_700,plain,
inverse(divide(divide(X_25,X_10),X_25)) = multiply(X_25,divide(X_10,X_25)),
inference(resolve,[$cnf( $equal(divide(X_25,divide(X_25,X_10)),multiply(X_25,divide(X_10,X_25))) )],[refute_0_697,refute_0_699]) ).
cnf(refute_0_701,plain,
( inverse(divide(divide(X_25,X_10),X_25)) != X_10
| inverse(divide(divide(X_25,X_10),X_25)) != multiply(X_25,divide(X_10,X_25))
| multiply(X_25,divide(X_10,X_25)) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_25,X_10),X_25)),X_10) ),[0],$fot(multiply(X_25,divide(X_10,X_25)))]]) ).
cnf(refute_0_702,plain,
( inverse(divide(divide(X_25,X_10),X_25)) != X_10
| multiply(X_25,divide(X_10,X_25)) = X_10 ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_25,X_10),X_25)),multiply(X_25,divide(X_10,X_25))) )],[refute_0_700,refute_0_701]) ).
cnf(refute_0_703,plain,
multiply(X_25,divide(X_10,X_25)) = X_10,
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_25,X_10),X_25)),X_10) )],[refute_0_696,refute_0_702]) ).
cnf(refute_0_704,plain,
multiply(X_25,divide(multiply(X_29,X_25),X_25)) = multiply(X_29,X_25),
inference(subst,[],[refute_0_703:[bind(X_10,$fot(multiply(X_29,X_25)))]]) ).
cnf(refute_0_705,plain,
divide(multiply(X_29,X_25),X_25) = X_29,
inference(subst,[],[refute_0_416:[bind(Y,$fot(X_25)),bind(X_23,$fot(X_29))]]) ).
cnf(refute_0_706,plain,
( multiply(X_25,divide(multiply(X_29,X_25),X_25)) != multiply(X_29,X_25)
| divide(multiply(X_29,X_25),X_25) != X_29
| multiply(X_25,X_29) = multiply(X_29,X_25) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_25,divide(multiply(X_29,X_25),X_25)),multiply(X_29,X_25)) ),[0,1],$fot(X_29)]]) ).
cnf(refute_0_707,plain,
( multiply(X_25,divide(multiply(X_29,X_25),X_25)) != multiply(X_29,X_25)
| multiply(X_25,X_29) = multiply(X_29,X_25) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_29,X_25),X_25),X_29) )],[refute_0_705,refute_0_706]) ).
cnf(refute_0_708,plain,
multiply(X_25,X_29) = multiply(X_29,X_25),
inference(resolve,[$cnf( $equal(multiply(X_25,divide(multiply(X_29,X_25),X_25)),multiply(X_29,X_25)) )],[refute_0_704,refute_0_707]) ).
cnf(refute_0_709,plain,
multiply(multiply(X_93,X_94),X_29) = multiply(X_29,multiply(X_93,X_94)),
inference(subst,[],[refute_0_708:[bind(X_25,$fot(multiply(X_93,X_94)))]]) ).
cnf(refute_0_710,plain,
multiply(X_29,multiply(X_93,X_94)) = multiply(X_29,multiply(X_94,X_93)),
inference(subst,[],[refute_0_654:[bind(X,$fot(X_29)),bind(X_53,$fot(X_93)),bind(X_54,$fot(X_94))]]) ).
cnf(refute_0_711,plain,
( multiply(X_29,multiply(X_93,X_94)) != multiply(X_29,multiply(X_94,X_93))
| multiply(multiply(X_93,X_94),X_29) != multiply(X_29,multiply(X_93,X_94))
| multiply(multiply(X_93,X_94),X_29) = multiply(X_29,multiply(X_94,X_93)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_93,X_94),X_29),multiply(X_29,multiply(X_93,X_94))) ),[1],$fot(multiply(X_29,multiply(X_94,X_93)))]]) ).
cnf(refute_0_712,plain,
( multiply(multiply(X_93,X_94),X_29) != multiply(X_29,multiply(X_93,X_94))
| multiply(multiply(X_93,X_94),X_29) = multiply(X_29,multiply(X_94,X_93)) ),
inference(resolve,[$cnf( $equal(multiply(X_29,multiply(X_93,X_94)),multiply(X_29,multiply(X_94,X_93))) )],[refute_0_710,refute_0_711]) ).
cnf(refute_0_713,plain,
multiply(multiply(X_93,X_94),X_29) = multiply(X_29,multiply(X_94,X_93)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_93,X_94),X_29),multiply(X_29,multiply(X_93,X_94))) )],[refute_0_709,refute_0_712]) ).
cnf(refute_0_714,plain,
multiply(multiply(X_93,X_94),X_29) = multiply(X_94,multiply(X_93,X_29)),
inference(subst,[],[refute_0_670:[bind(Y,$fot(X_29)),bind(X_79,$fot(X_94)),bind(X_80,$fot(X_93))]]) ).
cnf(refute_0_715,plain,
( multiply(multiply(X_93,X_94),X_29) != multiply(X_29,multiply(X_94,X_93))
| multiply(multiply(X_93,X_94),X_29) != multiply(X_94,multiply(X_93,X_29))
| multiply(X_94,multiply(X_93,X_29)) = multiply(X_29,multiply(X_94,X_93)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_93,X_94),X_29),multiply(X_29,multiply(X_94,X_93))) ),[0],$fot(multiply(X_94,multiply(X_93,X_29)))]]) ).
cnf(refute_0_716,plain,
( multiply(multiply(X_93,X_94),X_29) != multiply(X_29,multiply(X_94,X_93))
| multiply(X_94,multiply(X_93,X_29)) = multiply(X_29,multiply(X_94,X_93)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_93,X_94),X_29),multiply(X_94,multiply(X_93,X_29))) )],[refute_0_714,refute_0_715]) ).
cnf(refute_0_717,plain,
multiply(X_94,multiply(X_93,X_29)) = multiply(X_29,multiply(X_94,X_93)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_93,X_94),X_29),multiply(X_29,multiply(X_94,X_93))) )],[refute_0_713,refute_0_716]) ).
cnf(refute_0_718,plain,
( multiply(X_94,multiply(X_93,X_29)) != multiply(X_29,multiply(X_94,X_93))
| multiply(X_29,multiply(X_94,X_93)) = multiply(X_94,multiply(X_93,X_29)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_94,multiply(X_93,X_29)))),bind(Y0,$fot(multiply(X_29,multiply(X_94,X_93))))]]) ).
cnf(refute_0_719,plain,
multiply(X_29,multiply(X_94,X_93)) = multiply(X_94,multiply(X_93,X_29)),
inference(resolve,[$cnf( $equal(multiply(X_94,multiply(X_93,X_29)),multiply(X_29,multiply(X_94,X_93))) )],[refute_0_717,refute_0_718]) ).
cnf(refute_0_720,plain,
multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(c3,b3)),
inference(subst,[],[refute_0_719:[bind(X_29,$fot(b3)),bind(X_93,$fot(c3)),bind(X_94,$fot(a3))]]) ).
cnf(refute_0_721,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(c3,b3))
| multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(b3,multiply(a3,c3)))),bind(Y0,$fot(multiply(a3,multiply(c3,b3)))),bind(Z0,$fot(multiply(a3,multiply(b3,c3))))]]) ).
cnf(refute_0_722,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(c3,b3))) )],[refute_0_720,refute_0_721]) ).
cnf(refute_0_723,plain,
multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_691,refute_0_722]) ).
cnf(refute_0_724,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_725,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_723,refute_0_724]) ).
cnf(refute_0_726,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_725,refute_0_690]) ).
cnf(refute_0_727,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_728,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_727,refute_0_726]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.11 % Problem : GRP093-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.12/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 07:44:10 EDT 2022
% 0.19/0.33 % CPUTime :
% 0.19/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.54/0.74 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.74
% 0.54/0.74 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.62/0.83
%------------------------------------------------------------------------------