TSTP Solution File: GRP089-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP089-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n016.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 10:34:39 EDT 2022
% Result : Unsatisfiable 0.49s 0.71s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 76
% Number of leaves : 154
% Syntax : Number of clauses : 659 ( 344 unt; 0 nHn; 327 RR)
% Number of literals : 1123 (1122 equ; 473 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 1519 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(X,divide(divide(X,Y),divide(Z,Y))) = Z ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)) ).
cnf(inverse,axiom,
inverse(X) = divide(divide(Z,Z),X) ).
cnf(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( $equal(X0,X0) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( inverse(X) != divide(divide(Z,Z),X)
| divide(divide(Z,Z),X) = inverse(X) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X))),bind(Y0,$fot(divide(divide(Z,Z),X)))]]) ).
cnf(refute_0_4,plain,
divide(divide(Z,Z),X) = inverse(X),
inference(resolve,[$cnf( $equal(inverse(X),divide(divide(Z,Z),X)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
divide(divide(Z,Z),Y) = inverse(Y),
inference(subst,[],[refute_0_4:[bind(X,$fot(Y))]]) ).
cnf(refute_0_6,plain,
divide(X,divide(divide(Z,Z),Y)) = divide(X,divide(divide(Z,Z),Y)),
introduced(tautology,[refl,[$fot(divide(X,divide(divide(Z,Z),Y)))]]) ).
cnf(refute_0_7,plain,
( divide(X,divide(divide(Z,Z),Y)) != divide(X,divide(divide(Z,Z),Y))
| divide(divide(Z,Z),Y) != inverse(Y)
| divide(X,divide(divide(Z,Z),Y)) = divide(X,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(divide(Z,Z),Y)),divide(X,divide(divide(Z,Z),Y))) ),[1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_8,plain,
( divide(divide(Z,Z),Y) != inverse(Y)
| divide(X,divide(divide(Z,Z),Y)) = divide(X,inverse(Y)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(Z,Z),Y)),divide(X,divide(divide(Z,Z),Y))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
divide(X,divide(divide(Z,Z),Y)) = divide(X,inverse(Y)),
inference(resolve,[$cnf( $equal(divide(divide(Z,Z),Y),inverse(Y)) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
( multiply(X,Y) != divide(X,divide(divide(Z,Z),Y))
| divide(X,divide(divide(Z,Z),Y)) != divide(X,inverse(Y))
| multiply(X,Y) = divide(X,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,Y),divide(X,inverse(Y))) ),[0],$fot(divide(X,divide(divide(Z,Z),Y)))]]) ).
cnf(refute_0_11,plain,
( multiply(X,Y) != divide(X,divide(divide(Z,Z),Y))
| multiply(X,Y) = divide(X,inverse(Y)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(Z,Z),Y)),divide(X,inverse(Y))) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
multiply(X,Y) = divide(X,inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,divide(divide(Z,Z),Y))) )],[multiply,refute_0_11]) ).
cnf(refute_0_13,plain,
multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))) = divide(X,inverse(inverse(multiply(X_24,divide(X_23,X_23))))),
inference(subst,[],[refute_0_12:[bind(Y,$fot(inverse(multiply(X_24,divide(X_23,X_23)))))]]) ).
cnf(refute_0_14,plain,
inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))) = divide(divide(Z,Z),divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))),
inference(subst,[],[inverse:[bind(X,$fot(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))))]]) ).
cnf(refute_0_15,plain,
divide(divide(Z,Z),divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))) = X_6,
inference(subst,[],[single_axiom:[bind(X,$fot(divide(Z,Z))),bind(Y,$fot(X_5)),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_16,plain,
( divide(divide(Z,Z),divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))) != X_6
| inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))) != divide(divide(Z,Z),divide(divide(divide(Z,Z),X_5),divide(X_6,X_5)))
| inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))),divide(divide(Z,Z),divide(divide(divide(Z,Z),X_5),divide(X_6,X_5)))) ),[1],$fot(X_6)]]) ).
cnf(refute_0_17,plain,
( inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))) != divide(divide(Z,Z),divide(divide(divide(Z,Z),X_5),divide(X_6,X_5)))
| inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))) = X_6 ),
inference(resolve,[$cnf( $equal(divide(divide(Z,Z),divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))),X_6) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))) = X_6,
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))),divide(divide(Z,Z),divide(divide(divide(Z,Z),X_5),divide(X_6,X_5)))) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
divide(divide(Z,Z),X_5) = inverse(X_5),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_5))]]) ).
cnf(refute_0_20,plain,
divide(divide(divide(Z,Z),X_5),divide(X_6,X_5)) = divide(divide(divide(Z,Z),X_5),divide(X_6,X_5)),
introduced(tautology,[refl,[$fot(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5)))]]) ).
cnf(refute_0_21,plain,
( divide(divide(Z,Z),X_5) != inverse(X_5)
| divide(divide(divide(Z,Z),X_5),divide(X_6,X_5)) != divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))
| divide(divide(divide(Z,Z),X_5),divide(X_6,X_5)) = divide(inverse(X_5),divide(X_6,X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5)),divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))) ),[1,0],$fot(inverse(X_5))]]) ).
cnf(refute_0_22,plain,
( divide(divide(Z,Z),X_5) != inverse(X_5)
| divide(divide(divide(Z,Z),X_5),divide(X_6,X_5)) = divide(inverse(X_5),divide(X_6,X_5)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5)),divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
divide(divide(divide(Z,Z),X_5),divide(X_6,X_5)) = divide(inverse(X_5),divide(X_6,X_5)),
inference(resolve,[$cnf( $equal(divide(divide(Z,Z),X_5),inverse(X_5)) )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))) = inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))),
introduced(tautology,[refl,[$fot(inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))))]]) ).
cnf(refute_0_25,plain,
( divide(divide(divide(Z,Z),X_5),divide(X_6,X_5)) != divide(inverse(X_5),divide(X_6,X_5))
| inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))) != inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5)))
| inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))) = inverse(divide(inverse(X_5),divide(X_6,X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))),inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5)))) ),[1,0],$fot(divide(inverse(X_5),divide(X_6,X_5)))]]) ).
cnf(refute_0_26,plain,
( divide(divide(divide(Z,Z),X_5),divide(X_6,X_5)) != divide(inverse(X_5),divide(X_6,X_5))
| inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))) = inverse(divide(inverse(X_5),divide(X_6,X_5))) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))),inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5)))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))) = inverse(divide(inverse(X_5),divide(X_6,X_5))),
inference(resolve,[$cnf( $equal(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5)),divide(inverse(X_5),divide(X_6,X_5))) )],[refute_0_23,refute_0_26]) ).
cnf(refute_0_28,plain,
( inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))) != X_6
| inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))) != inverse(divide(inverse(X_5),divide(X_6,X_5)))
| inverse(divide(inverse(X_5),divide(X_6,X_5))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))),X_6) ),[0],$fot(inverse(divide(inverse(X_5),divide(X_6,X_5))))]]) ).
cnf(refute_0_29,plain,
( inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))) != X_6
| inverse(divide(inverse(X_5),divide(X_6,X_5))) = X_6 ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))),inverse(divide(inverse(X_5),divide(X_6,X_5)))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
inverse(divide(inverse(X_5),divide(X_6,X_5))) = X_6,
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(Z,Z),X_5),divide(X_6,X_5))),X_6) )],[refute_0_18,refute_0_29]) ).
cnf(refute_0_31,plain,
inverse(divide(inverse(inverse(divide(X_18,X_18))),divide(X_6,inverse(divide(X_18,X_18))))) = X_6,
inference(subst,[],[refute_0_30:[bind(X_5,$fot(inverse(divide(X_18,X_18))))]]) ).
cnf(refute_0_32,plain,
inverse(X) = divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),X),
inference(subst,[],[inverse:[bind(Z,$fot(inverse(divide(X_3,X_3))))]]) ).
cnf(refute_0_33,plain,
inverse(X) = divide(divide(divide(X_1,X_1),divide(X_1,X_1)),X),
inference(subst,[],[inverse:[bind(Z,$fot(divide(X_1,X_1)))]]) ).
cnf(refute_0_34,plain,
inverse(divide(X_1,X_1)) = divide(divide(X_1,X_1),divide(X_1,X_1)),
inference(subst,[],[inverse:[bind(X,$fot(divide(X_1,X_1))),bind(Z,$fot(X_1))]]) ).
cnf(refute_0_35,plain,
( inverse(divide(X_1,X_1)) != divide(divide(X_1,X_1),divide(X_1,X_1))
| divide(divide(X_1,X_1),divide(X_1,X_1)) = inverse(divide(X_1,X_1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(divide(X_1,X_1)))),bind(Y0,$fot(divide(divide(X_1,X_1),divide(X_1,X_1))))]]) ).
cnf(refute_0_36,plain,
divide(divide(X_1,X_1),divide(X_1,X_1)) = inverse(divide(X_1,X_1)),
inference(resolve,[$cnf( $equal(inverse(divide(X_1,X_1)),divide(divide(X_1,X_1),divide(X_1,X_1))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
( divide(divide(X_1,X_1),divide(X_1,X_1)) != inverse(divide(X_1,X_1))
| inverse(X) != divide(divide(divide(X_1,X_1),divide(X_1,X_1)),X)
| inverse(X) = divide(inverse(divide(X_1,X_1)),X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),divide(divide(divide(X_1,X_1),divide(X_1,X_1)),X)) ),[1,0],$fot(inverse(divide(X_1,X_1)))]]) ).
cnf(refute_0_38,plain,
( inverse(X) != divide(divide(divide(X_1,X_1),divide(X_1,X_1)),X)
| inverse(X) = divide(inverse(divide(X_1,X_1)),X) ),
inference(resolve,[$cnf( $equal(divide(divide(X_1,X_1),divide(X_1,X_1)),inverse(divide(X_1,X_1))) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
inverse(X) = divide(inverse(divide(X_1,X_1)),X),
inference(resolve,[$cnf( $equal(inverse(X),divide(divide(divide(X_1,X_1),divide(X_1,X_1)),X)) )],[refute_0_33,refute_0_38]) ).
cnf(refute_0_40,plain,
inverse(inverse(divide(X_3,X_3))) = divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),
inference(subst,[],[refute_0_39:[bind(X,$fot(inverse(divide(X_3,X_3)))),bind(X_1,$fot(X_3))]]) ).
cnf(refute_0_41,plain,
( inverse(inverse(divide(X_3,X_3))) != divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))
| divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))) = inverse(inverse(divide(X_3,X_3))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(inverse(divide(X_3,X_3))))),bind(Y0,$fot(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))))]]) ).
cnf(refute_0_42,plain,
divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))) = inverse(inverse(divide(X_3,X_3))),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_3,X_3))),divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))) != inverse(inverse(divide(X_3,X_3)))
| inverse(X) != divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),X)
| inverse(X) = divide(inverse(inverse(divide(X_3,X_3))),X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),X)) ),[1,0],$fot(inverse(inverse(divide(X_3,X_3))))]]) ).
cnf(refute_0_44,plain,
( inverse(X) != divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),X)
| inverse(X) = divide(inverse(inverse(divide(X_3,X_3))),X) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),inverse(inverse(divide(X_3,X_3)))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
inverse(X) = divide(inverse(inverse(divide(X_3,X_3))),X),
inference(resolve,[$cnf( $equal(inverse(X),divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),X)) )],[refute_0_32,refute_0_44]) ).
cnf(refute_0_46,plain,
inverse(divide(X_6,inverse(divide(X_18,X_18)))) = divide(inverse(inverse(divide(X_18,X_18))),divide(X_6,inverse(divide(X_18,X_18)))),
inference(subst,[],[refute_0_45:[bind(X,$fot(divide(X_6,inverse(divide(X_18,X_18))))),bind(X_3,$fot(X_18))]]) ).
cnf(refute_0_47,plain,
( inverse(divide(X_6,inverse(divide(X_18,X_18)))) != divide(inverse(inverse(divide(X_18,X_18))),divide(X_6,inverse(divide(X_18,X_18))))
| divide(inverse(inverse(divide(X_18,X_18))),divide(X_6,inverse(divide(X_18,X_18)))) = inverse(divide(X_6,inverse(divide(X_18,X_18)))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(divide(X_6,inverse(divide(X_18,X_18)))))),bind(Y0,$fot(divide(inverse(inverse(divide(X_18,X_18))),divide(X_6,inverse(divide(X_18,X_18))))))]]) ).
cnf(refute_0_48,plain,
divide(inverse(inverse(divide(X_18,X_18))),divide(X_6,inverse(divide(X_18,X_18)))) = inverse(divide(X_6,inverse(divide(X_18,X_18)))),
inference(resolve,[$cnf( $equal(inverse(divide(X_6,inverse(divide(X_18,X_18)))),divide(inverse(inverse(divide(X_18,X_18))),divide(X_6,inverse(divide(X_18,X_18))))) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
( divide(inverse(inverse(divide(X_18,X_18))),divide(X_6,inverse(divide(X_18,X_18)))) != inverse(divide(X_6,inverse(divide(X_18,X_18))))
| inverse(divide(inverse(inverse(divide(X_18,X_18))),divide(X_6,inverse(divide(X_18,X_18))))) != X_6
| inverse(inverse(divide(X_6,inverse(divide(X_18,X_18))))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(inverse(divide(X_18,X_18))),divide(X_6,inverse(divide(X_18,X_18))))),X_6) ),[0,0],$fot(inverse(divide(X_6,inverse(divide(X_18,X_18)))))]]) ).
cnf(refute_0_50,plain,
( inverse(divide(inverse(inverse(divide(X_18,X_18))),divide(X_6,inverse(divide(X_18,X_18))))) != X_6
| inverse(inverse(divide(X_6,inverse(divide(X_18,X_18))))) = X_6 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(divide(X_18,X_18))),divide(X_6,inverse(divide(X_18,X_18)))),inverse(divide(X_6,inverse(divide(X_18,X_18))))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
inverse(inverse(divide(X_6,inverse(divide(X_18,X_18))))) = X_6,
inference(resolve,[$cnf( $equal(inverse(divide(inverse(inverse(divide(X_18,X_18))),divide(X_6,inverse(divide(X_18,X_18))))),X_6) )],[refute_0_31,refute_0_50]) ).
cnf(refute_0_52,plain,
( multiply(X,Y) != divide(X,inverse(Y))
| divide(X,inverse(Y)) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(divide(X,inverse(Y))))]]) ).
cnf(refute_0_53,plain,
divide(X,inverse(Y)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,inverse(Y))) )],[refute_0_12,refute_0_52]) ).
cnf(refute_0_54,plain,
divide(X_6,inverse(divide(X_18,X_18))) = multiply(X_6,divide(X_18,X_18)),
inference(subst,[],[refute_0_53:[bind(X,$fot(X_6)),bind(Y,$fot(divide(X_18,X_18)))]]) ).
cnf(refute_0_55,plain,
inverse(divide(X_6,inverse(divide(X_18,X_18)))) = inverse(divide(X_6,inverse(divide(X_18,X_18)))),
introduced(tautology,[refl,[$fot(inverse(divide(X_6,inverse(divide(X_18,X_18)))))]]) ).
cnf(refute_0_56,plain,
( divide(X_6,inverse(divide(X_18,X_18))) != multiply(X_6,divide(X_18,X_18))
| inverse(divide(X_6,inverse(divide(X_18,X_18)))) != inverse(divide(X_6,inverse(divide(X_18,X_18))))
| inverse(divide(X_6,inverse(divide(X_18,X_18)))) = inverse(multiply(X_6,divide(X_18,X_18))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_6,inverse(divide(X_18,X_18)))),inverse(divide(X_6,inverse(divide(X_18,X_18))))) ),[1,0],$fot(multiply(X_6,divide(X_18,X_18)))]]) ).
cnf(refute_0_57,plain,
( divide(X_6,inverse(divide(X_18,X_18))) != multiply(X_6,divide(X_18,X_18))
| inverse(divide(X_6,inverse(divide(X_18,X_18)))) = inverse(multiply(X_6,divide(X_18,X_18))) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_6,inverse(divide(X_18,X_18)))),inverse(divide(X_6,inverse(divide(X_18,X_18))))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
inverse(divide(X_6,inverse(divide(X_18,X_18)))) = inverse(multiply(X_6,divide(X_18,X_18))),
inference(resolve,[$cnf( $equal(divide(X_6,inverse(divide(X_18,X_18))),multiply(X_6,divide(X_18,X_18))) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
inverse(inverse(divide(X_6,inverse(divide(X_18,X_18))))) = inverse(inverse(divide(X_6,inverse(divide(X_18,X_18))))),
introduced(tautology,[refl,[$fot(inverse(inverse(divide(X_6,inverse(divide(X_18,X_18))))))]]) ).
cnf(refute_0_60,plain,
( inverse(divide(X_6,inverse(divide(X_18,X_18)))) != inverse(multiply(X_6,divide(X_18,X_18)))
| inverse(inverse(divide(X_6,inverse(divide(X_18,X_18))))) != inverse(inverse(divide(X_6,inverse(divide(X_18,X_18)))))
| inverse(inverse(divide(X_6,inverse(divide(X_18,X_18))))) = inverse(inverse(multiply(X_6,divide(X_18,X_18)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(X_6,inverse(divide(X_18,X_18))))),inverse(inverse(divide(X_6,inverse(divide(X_18,X_18)))))) ),[1,0],$fot(inverse(multiply(X_6,divide(X_18,X_18))))]]) ).
cnf(refute_0_61,plain,
( inverse(divide(X_6,inverse(divide(X_18,X_18)))) != inverse(multiply(X_6,divide(X_18,X_18)))
| inverse(inverse(divide(X_6,inverse(divide(X_18,X_18))))) = inverse(inverse(multiply(X_6,divide(X_18,X_18)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_6,inverse(divide(X_18,X_18))))),inverse(inverse(divide(X_6,inverse(divide(X_18,X_18)))))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
inverse(inverse(divide(X_6,inverse(divide(X_18,X_18))))) = inverse(inverse(multiply(X_6,divide(X_18,X_18)))),
inference(resolve,[$cnf( $equal(inverse(divide(X_6,inverse(divide(X_18,X_18)))),inverse(multiply(X_6,divide(X_18,X_18)))) )],[refute_0_58,refute_0_61]) ).
cnf(refute_0_63,plain,
( inverse(inverse(divide(X_6,inverse(divide(X_18,X_18))))) != X_6
| inverse(inverse(divide(X_6,inverse(divide(X_18,X_18))))) != inverse(inverse(multiply(X_6,divide(X_18,X_18))))
| inverse(inverse(multiply(X_6,divide(X_18,X_18)))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(X_6,inverse(divide(X_18,X_18))))),X_6) ),[0],$fot(inverse(inverse(multiply(X_6,divide(X_18,X_18)))))]]) ).
cnf(refute_0_64,plain,
( inverse(inverse(divide(X_6,inverse(divide(X_18,X_18))))) != X_6
| inverse(inverse(multiply(X_6,divide(X_18,X_18)))) = X_6 ),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_6,inverse(divide(X_18,X_18))))),inverse(inverse(multiply(X_6,divide(X_18,X_18))))) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
inverse(inverse(multiply(X_6,divide(X_18,X_18)))) = X_6,
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_6,inverse(divide(X_18,X_18))))),X_6) )],[refute_0_51,refute_0_64]) ).
cnf(refute_0_66,plain,
inverse(inverse(multiply(X_24,divide(X_23,X_23)))) = X_24,
inference(subst,[],[refute_0_65:[bind(X_18,$fot(X_23)),bind(X_6,$fot(X_24))]]) ).
cnf(refute_0_67,plain,
( multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))) != divide(X,inverse(inverse(multiply(X_24,divide(X_23,X_23)))))
| inverse(inverse(multiply(X_24,divide(X_23,X_23)))) != X_24
| multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))) = divide(X,X_24) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))),divide(X,inverse(inverse(multiply(X_24,divide(X_23,X_23)))))) ),[1,1],$fot(X_24)]]) ).
cnf(refute_0_68,plain,
( multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))) != divide(X,inverse(inverse(multiply(X_24,divide(X_23,X_23)))))
| multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))) = divide(X,X_24) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_24,divide(X_23,X_23)))),X_24) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))) = divide(X,X_24),
inference(resolve,[$cnf( $equal(multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))),divide(X,inverse(inverse(multiply(X_24,divide(X_23,X_23)))))) )],[refute_0_13,refute_0_68]) ).
cnf(refute_0_70,plain,
inverse(inverse(multiply(X_24,divide(inverse(divide(X_1,X_1)),inverse(divide(X_1,X_1)))))) = X_24,
inference(subst,[],[refute_0_65:[bind(X_18,$fot(inverse(divide(X_1,X_1)))),bind(X_6,$fot(X_24))]]) ).
cnf(refute_0_71,plain,
inverse(inverse(divide(X_1,X_1))) = divide(inverse(divide(X_1,X_1)),inverse(divide(X_1,X_1))),
inference(subst,[],[refute_0_39:[bind(X,$fot(inverse(divide(X_1,X_1))))]]) ).
cnf(refute_0_72,plain,
( inverse(inverse(divide(X_1,X_1))) != divide(inverse(divide(X_1,X_1)),inverse(divide(X_1,X_1)))
| divide(inverse(divide(X_1,X_1)),inverse(divide(X_1,X_1))) = inverse(inverse(divide(X_1,X_1))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(inverse(divide(X_1,X_1))))),bind(Y0,$fot(divide(inverse(divide(X_1,X_1)),inverse(divide(X_1,X_1)))))]]) ).
cnf(refute_0_73,plain,
divide(inverse(divide(X_1,X_1)),inverse(divide(X_1,X_1))) = inverse(inverse(divide(X_1,X_1))),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_1,X_1))),divide(inverse(divide(X_1,X_1)),inverse(divide(X_1,X_1)))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
( divide(inverse(divide(X_1,X_1)),inverse(divide(X_1,X_1))) != inverse(inverse(divide(X_1,X_1)))
| inverse(inverse(multiply(X_24,divide(inverse(divide(X_1,X_1)),inverse(divide(X_1,X_1)))))) != X_24
| inverse(inverse(multiply(X_24,inverse(inverse(divide(X_1,X_1)))))) = X_24 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_24,divide(inverse(divide(X_1,X_1)),inverse(divide(X_1,X_1)))))),X_24) ),[0,0,0,1],$fot(inverse(inverse(divide(X_1,X_1))))]]) ).
cnf(refute_0_75,plain,
( inverse(inverse(multiply(X_24,divide(inverse(divide(X_1,X_1)),inverse(divide(X_1,X_1)))))) != X_24
| inverse(inverse(multiply(X_24,inverse(inverse(divide(X_1,X_1)))))) = X_24 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_1,X_1)),inverse(divide(X_1,X_1))),inverse(inverse(divide(X_1,X_1)))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
inverse(inverse(multiply(X_24,inverse(inverse(divide(X_1,X_1)))))) = X_24,
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_24,divide(inverse(divide(X_1,X_1)),inverse(divide(X_1,X_1)))))),X_24) )],[refute_0_70,refute_0_75]) ).
cnf(refute_0_77,plain,
inverse(inverse(multiply(X_23,divide(X_23,X_23)))) = X_23,
inference(subst,[],[refute_0_65:[bind(X_18,$fot(X_23)),bind(X_6,$fot(X_23))]]) ).
cnf(refute_0_78,plain,
divide(X_5,divide(divide(X_5,X_5),divide(X_6,X_5))) = X_6,
inference(subst,[],[single_axiom:[bind(X,$fot(X_5)),bind(Y,$fot(X_5)),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_79,plain,
inverse(divide(X_6,X_5)) = divide(divide(X_5,X_5),divide(X_6,X_5)),
inference(subst,[],[inverse:[bind(X,$fot(divide(X_6,X_5))),bind(Z,$fot(X_5))]]) ).
cnf(refute_0_80,plain,
( inverse(divide(X_6,X_5)) != divide(divide(X_5,X_5),divide(X_6,X_5))
| divide(divide(X_5,X_5),divide(X_6,X_5)) = inverse(divide(X_6,X_5)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(divide(X_6,X_5)))),bind(Y0,$fot(divide(divide(X_5,X_5),divide(X_6,X_5))))]]) ).
cnf(refute_0_81,plain,
divide(divide(X_5,X_5),divide(X_6,X_5)) = inverse(divide(X_6,X_5)),
inference(resolve,[$cnf( $equal(inverse(divide(X_6,X_5)),divide(divide(X_5,X_5),divide(X_6,X_5))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
( divide(X_5,divide(divide(X_5,X_5),divide(X_6,X_5))) != X_6
| divide(divide(X_5,X_5),divide(X_6,X_5)) != inverse(divide(X_6,X_5))
| divide(X_5,inverse(divide(X_6,X_5))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_5,divide(divide(X_5,X_5),divide(X_6,X_5))),X_6) ),[0,1],$fot(inverse(divide(X_6,X_5)))]]) ).
cnf(refute_0_83,plain,
( divide(X_5,divide(divide(X_5,X_5),divide(X_6,X_5))) != X_6
| divide(X_5,inverse(divide(X_6,X_5))) = X_6 ),
inference(resolve,[$cnf( $equal(divide(divide(X_5,X_5),divide(X_6,X_5)),inverse(divide(X_6,X_5))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
divide(X_5,inverse(divide(X_6,X_5))) = X_6,
inference(resolve,[$cnf( $equal(divide(X_5,divide(divide(X_5,X_5),divide(X_6,X_5))),X_6) )],[refute_0_78,refute_0_83]) ).
cnf(refute_0_85,plain,
divide(X_5,inverse(divide(X_6,X_5))) = multiply(X_5,divide(X_6,X_5)),
inference(subst,[],[refute_0_53:[bind(X,$fot(X_5)),bind(Y,$fot(divide(X_6,X_5)))]]) ).
cnf(refute_0_86,plain,
( divide(X_5,inverse(divide(X_6,X_5))) != X_6
| divide(X_5,inverse(divide(X_6,X_5))) != multiply(X_5,divide(X_6,X_5))
| multiply(X_5,divide(X_6,X_5)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_5,inverse(divide(X_6,X_5))),X_6) ),[0],$fot(multiply(X_5,divide(X_6,X_5)))]]) ).
cnf(refute_0_87,plain,
( divide(X_5,inverse(divide(X_6,X_5))) != X_6
| multiply(X_5,divide(X_6,X_5)) = X_6 ),
inference(resolve,[$cnf( $equal(divide(X_5,inverse(divide(X_6,X_5))),multiply(X_5,divide(X_6,X_5))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
multiply(X_5,divide(X_6,X_5)) = X_6,
inference(resolve,[$cnf( $equal(divide(X_5,inverse(divide(X_6,X_5))),X_6) )],[refute_0_84,refute_0_87]) ).
cnf(refute_0_89,plain,
multiply(X_23,divide(X_23,X_23)) = X_23,
inference(subst,[],[refute_0_88:[bind(X_5,$fot(X_23)),bind(X_6,$fot(X_23))]]) ).
cnf(refute_0_90,plain,
( multiply(X_23,divide(X_23,X_23)) != X_23
| inverse(inverse(multiply(X_23,divide(X_23,X_23)))) != X_23
| inverse(inverse(X_23)) = X_23 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_23,divide(X_23,X_23)))),X_23) ),[0,0,0],$fot(X_23)]]) ).
cnf(refute_0_91,plain,
( inverse(inverse(multiply(X_23,divide(X_23,X_23)))) != X_23
| inverse(inverse(X_23)) = X_23 ),
inference(resolve,[$cnf( $equal(multiply(X_23,divide(X_23,X_23)),X_23) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
inverse(inverse(X_23)) = X_23,
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_23,divide(X_23,X_23)))),X_23) )],[refute_0_77,refute_0_91]) ).
cnf(refute_0_93,plain,
inverse(inverse(divide(X_1,X_1))) = divide(X_1,X_1),
inference(subst,[],[refute_0_92:[bind(X_23,$fot(divide(X_1,X_1)))]]) ).
cnf(refute_0_94,plain,
multiply(X_24,inverse(inverse(divide(X_1,X_1)))) = multiply(X_24,inverse(inverse(divide(X_1,X_1)))),
introduced(tautology,[refl,[$fot(multiply(X_24,inverse(inverse(divide(X_1,X_1)))))]]) ).
cnf(refute_0_95,plain,
( multiply(X_24,inverse(inverse(divide(X_1,X_1)))) != multiply(X_24,inverse(inverse(divide(X_1,X_1))))
| inverse(inverse(divide(X_1,X_1))) != divide(X_1,X_1)
| multiply(X_24,inverse(inverse(divide(X_1,X_1)))) = multiply(X_24,divide(X_1,X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_24,inverse(inverse(divide(X_1,X_1)))),multiply(X_24,inverse(inverse(divide(X_1,X_1))))) ),[1,1],$fot(divide(X_1,X_1))]]) ).
cnf(refute_0_96,plain,
( inverse(inverse(divide(X_1,X_1))) != divide(X_1,X_1)
| multiply(X_24,inverse(inverse(divide(X_1,X_1)))) = multiply(X_24,divide(X_1,X_1)) ),
inference(resolve,[$cnf( $equal(multiply(X_24,inverse(inverse(divide(X_1,X_1)))),multiply(X_24,inverse(inverse(divide(X_1,X_1))))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
multiply(X_24,inverse(inverse(divide(X_1,X_1)))) = multiply(X_24,divide(X_1,X_1)),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_1,X_1))),divide(X_1,X_1)) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
inverse(inverse(multiply(X_24,inverse(inverse(divide(X_1,X_1)))))) = multiply(X_24,inverse(inverse(divide(X_1,X_1)))),
inference(subst,[],[refute_0_92:[bind(X_23,$fot(multiply(X_24,inverse(inverse(divide(X_1,X_1))))))]]) ).
cnf(refute_0_99,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_100,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_99]) ).
cnf(refute_0_101,plain,
( multiply(X_24,inverse(inverse(divide(X_1,X_1)))) != multiply(X_24,divide(X_1,X_1))
| inverse(inverse(multiply(X_24,inverse(inverse(divide(X_1,X_1)))))) != multiply(X_24,inverse(inverse(divide(X_1,X_1))))
| inverse(inverse(multiply(X_24,inverse(inverse(divide(X_1,X_1)))))) = multiply(X_24,divide(X_1,X_1)) ),
inference(subst,[],[refute_0_100:[bind(X0,$fot(inverse(inverse(multiply(X_24,inverse(inverse(divide(X_1,X_1)))))))),bind(Y0,$fot(multiply(X_24,inverse(inverse(divide(X_1,X_1)))))),bind(Z0,$fot(multiply(X_24,divide(X_1,X_1))))]]) ).
cnf(refute_0_102,plain,
( multiply(X_24,inverse(inverse(divide(X_1,X_1)))) != multiply(X_24,divide(X_1,X_1))
| inverse(inverse(multiply(X_24,inverse(inverse(divide(X_1,X_1)))))) = multiply(X_24,divide(X_1,X_1)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_24,inverse(inverse(divide(X_1,X_1)))))),multiply(X_24,inverse(inverse(divide(X_1,X_1))))) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
inverse(inverse(multiply(X_24,inverse(inverse(divide(X_1,X_1)))))) = multiply(X_24,divide(X_1,X_1)),
inference(resolve,[$cnf( $equal(multiply(X_24,inverse(inverse(divide(X_1,X_1)))),multiply(X_24,divide(X_1,X_1))) )],[refute_0_97,refute_0_102]) ).
cnf(refute_0_104,plain,
( inverse(inverse(multiply(X_24,inverse(inverse(divide(X_1,X_1)))))) != X_24
| inverse(inverse(multiply(X_24,inverse(inverse(divide(X_1,X_1)))))) != multiply(X_24,divide(X_1,X_1))
| multiply(X_24,divide(X_1,X_1)) = X_24 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_24,inverse(inverse(divide(X_1,X_1)))))),X_24) ),[0],$fot(multiply(X_24,divide(X_1,X_1)))]]) ).
cnf(refute_0_105,plain,
( inverse(inverse(multiply(X_24,inverse(inverse(divide(X_1,X_1)))))) != X_24
| multiply(X_24,divide(X_1,X_1)) = X_24 ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_24,inverse(inverse(divide(X_1,X_1)))))),multiply(X_24,divide(X_1,X_1))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
multiply(X_24,divide(X_1,X_1)) = X_24,
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_24,inverse(inverse(divide(X_1,X_1)))))),X_24) )],[refute_0_76,refute_0_105]) ).
cnf(refute_0_107,plain,
multiply(X_24,divide(X_23,X_23)) = X_24,
inference(subst,[],[refute_0_106:[bind(X_1,$fot(X_23))]]) ).
cnf(refute_0_108,plain,
inverse(multiply(X_24,divide(X_23,X_23))) = inverse(multiply(X_24,divide(X_23,X_23))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_24,divide(X_23,X_23))))]]) ).
cnf(refute_0_109,plain,
( multiply(X_24,divide(X_23,X_23)) != X_24
| inverse(multiply(X_24,divide(X_23,X_23))) != inverse(multiply(X_24,divide(X_23,X_23)))
| inverse(multiply(X_24,divide(X_23,X_23))) = inverse(X_24) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_24,divide(X_23,X_23))),inverse(multiply(X_24,divide(X_23,X_23)))) ),[1,0],$fot(X_24)]]) ).
cnf(refute_0_110,plain,
( multiply(X_24,divide(X_23,X_23)) != X_24
| inverse(multiply(X_24,divide(X_23,X_23))) = inverse(X_24) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_24,divide(X_23,X_23))),inverse(multiply(X_24,divide(X_23,X_23)))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
inverse(multiply(X_24,divide(X_23,X_23))) = inverse(X_24),
inference(resolve,[$cnf( $equal(multiply(X_24,divide(X_23,X_23)),X_24) )],[refute_0_107,refute_0_110]) ).
cnf(refute_0_112,plain,
multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))) = multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))),
introduced(tautology,[refl,[$fot(multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))))]]) ).
cnf(refute_0_113,plain,
( multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))) != multiply(X,inverse(multiply(X_24,divide(X_23,X_23))))
| inverse(multiply(X_24,divide(X_23,X_23))) != inverse(X_24)
| multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))) = multiply(X,inverse(X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))),multiply(X,inverse(multiply(X_24,divide(X_23,X_23))))) ),[1,1],$fot(inverse(X_24))]]) ).
cnf(refute_0_114,plain,
( inverse(multiply(X_24,divide(X_23,X_23))) != inverse(X_24)
| multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))) = multiply(X,inverse(X_24)) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))),multiply(X,inverse(multiply(X_24,divide(X_23,X_23))))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))) = multiply(X,inverse(X_24)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_24,divide(X_23,X_23))),inverse(X_24)) )],[refute_0_111,refute_0_114]) ).
cnf(refute_0_116,plain,
( multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))) != multiply(X,inverse(X_24))
| multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))) != divide(X,X_24)
| multiply(X,inverse(X_24)) = divide(X,X_24) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))),divide(X,X_24)) ),[0],$fot(multiply(X,inverse(X_24)))]]) ).
cnf(refute_0_117,plain,
( multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))) != divide(X,X_24)
| multiply(X,inverse(X_24)) = divide(X,X_24) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))),multiply(X,inverse(X_24))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
multiply(X,inverse(X_24)) = divide(X,X_24),
inference(resolve,[$cnf( $equal(multiply(X,inverse(multiply(X_24,divide(X_23,X_23)))),divide(X,X_24)) )],[refute_0_69,refute_0_117]) ).
cnf(refute_0_119,plain,
multiply(a1,inverse(a1)) = divide(a1,a1),
inference(subst,[],[refute_0_118:[bind(X,$fot(a1)),bind(X_24,$fot(a1))]]) ).
cnf(refute_0_120,plain,
multiply(multiply(divide(X_6,X_42),X_42),divide(X_6,multiply(divide(X_6,X_42),X_42))) = X_6,
inference(subst,[],[refute_0_88:[bind(X_5,$fot(multiply(divide(X_6,X_42),X_42)))]]) ).
cnf(refute_0_121,plain,
divide(X_4,divide(divide(X_4,X_5),divide(inverse(divide(X_1,X_1)),X_5))) = inverse(divide(X_1,X_1)),
inference(subst,[],[single_axiom:[bind(X,$fot(X_4)),bind(Y,$fot(X_5)),bind(Z,$fot(inverse(divide(X_1,X_1))))]]) ).
cnf(refute_0_122,plain,
inverse(X_5) = divide(inverse(divide(X_1,X_1)),X_5),
inference(subst,[],[refute_0_39:[bind(X,$fot(X_5))]]) ).
cnf(refute_0_123,plain,
( inverse(X_5) != divide(inverse(divide(X_1,X_1)),X_5)
| divide(inverse(divide(X_1,X_1)),X_5) = inverse(X_5) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_5))),bind(Y0,$fot(divide(inverse(divide(X_1,X_1)),X_5)))]]) ).
cnf(refute_0_124,plain,
divide(inverse(divide(X_1,X_1)),X_5) = inverse(X_5),
inference(resolve,[$cnf( $equal(inverse(X_5),divide(inverse(divide(X_1,X_1)),X_5)) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
( divide(X_4,divide(divide(X_4,X_5),divide(inverse(divide(X_1,X_1)),X_5))) != inverse(divide(X_1,X_1))
| divide(inverse(divide(X_1,X_1)),X_5) != inverse(X_5)
| divide(X_4,divide(divide(X_4,X_5),inverse(X_5))) = inverse(divide(X_1,X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_4,divide(divide(X_4,X_5),divide(inverse(divide(X_1,X_1)),X_5))),inverse(divide(X_1,X_1))) ),[0,1,1],$fot(inverse(X_5))]]) ).
cnf(refute_0_126,plain,
( divide(X_4,divide(divide(X_4,X_5),divide(inverse(divide(X_1,X_1)),X_5))) != inverse(divide(X_1,X_1))
| divide(X_4,divide(divide(X_4,X_5),inverse(X_5))) = inverse(divide(X_1,X_1)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_1,X_1)),X_5),inverse(X_5)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
divide(X_4,divide(divide(X_4,X_5),inverse(X_5))) = inverse(divide(X_1,X_1)),
inference(resolve,[$cnf( $equal(divide(X_4,divide(divide(X_4,X_5),divide(inverse(divide(X_1,X_1)),X_5))),inverse(divide(X_1,X_1))) )],[refute_0_121,refute_0_126]) ).
cnf(refute_0_128,plain,
divide(divide(X_4,X_5),inverse(X_5)) = multiply(divide(X_4,X_5),X_5),
inference(subst,[],[refute_0_53:[bind(X,$fot(divide(X_4,X_5))),bind(Y,$fot(X_5))]]) ).
cnf(refute_0_129,plain,
divide(X_4,divide(divide(X_4,X_5),inverse(X_5))) = divide(X_4,divide(divide(X_4,X_5),inverse(X_5))),
introduced(tautology,[refl,[$fot(divide(X_4,divide(divide(X_4,X_5),inverse(X_5))))]]) ).
cnf(refute_0_130,plain,
( divide(X_4,divide(divide(X_4,X_5),inverse(X_5))) != divide(X_4,divide(divide(X_4,X_5),inverse(X_5)))
| divide(divide(X_4,X_5),inverse(X_5)) != multiply(divide(X_4,X_5),X_5)
| divide(X_4,divide(divide(X_4,X_5),inverse(X_5))) = divide(X_4,multiply(divide(X_4,X_5),X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_4,divide(divide(X_4,X_5),inverse(X_5))),divide(X_4,divide(divide(X_4,X_5),inverse(X_5)))) ),[1,1],$fot(multiply(divide(X_4,X_5),X_5))]]) ).
cnf(refute_0_131,plain,
( divide(divide(X_4,X_5),inverse(X_5)) != multiply(divide(X_4,X_5),X_5)
| divide(X_4,divide(divide(X_4,X_5),inverse(X_5))) = divide(X_4,multiply(divide(X_4,X_5),X_5)) ),
inference(resolve,[$cnf( $equal(divide(X_4,divide(divide(X_4,X_5),inverse(X_5))),divide(X_4,divide(divide(X_4,X_5),inverse(X_5)))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
divide(X_4,divide(divide(X_4,X_5),inverse(X_5))) = divide(X_4,multiply(divide(X_4,X_5),X_5)),
inference(resolve,[$cnf( $equal(divide(divide(X_4,X_5),inverse(X_5)),multiply(divide(X_4,X_5),X_5)) )],[refute_0_128,refute_0_131]) ).
cnf(refute_0_133,plain,
( divide(X_4,divide(divide(X_4,X_5),inverse(X_5))) != divide(X_4,multiply(divide(X_4,X_5),X_5))
| divide(X_4,divide(divide(X_4,X_5),inverse(X_5))) != inverse(divide(X_1,X_1))
| divide(X_4,multiply(divide(X_4,X_5),X_5)) = inverse(divide(X_1,X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_4,divide(divide(X_4,X_5),inverse(X_5))),inverse(divide(X_1,X_1))) ),[0],$fot(divide(X_4,multiply(divide(X_4,X_5),X_5)))]]) ).
cnf(refute_0_134,plain,
( divide(X_4,divide(divide(X_4,X_5),inverse(X_5))) != inverse(divide(X_1,X_1))
| divide(X_4,multiply(divide(X_4,X_5),X_5)) = inverse(divide(X_1,X_1)) ),
inference(resolve,[$cnf( $equal(divide(X_4,divide(divide(X_4,X_5),inverse(X_5))),divide(X_4,multiply(divide(X_4,X_5),X_5))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
divide(X_4,multiply(divide(X_4,X_5),X_5)) = inverse(divide(X_1,X_1)),
inference(resolve,[$cnf( $equal(divide(X_4,divide(divide(X_4,X_5),inverse(X_5))),inverse(divide(X_1,X_1))) )],[refute_0_127,refute_0_134]) ).
cnf(refute_0_136,plain,
divide(X_6,multiply(divide(X_6,X_42),X_42)) = inverse(divide(X_40,X_40)),
inference(subst,[],[refute_0_135:[bind(X_1,$fot(X_40)),bind(X_4,$fot(X_6)),bind(X_5,$fot(X_42))]]) ).
cnf(refute_0_137,plain,
( multiply(multiply(divide(X_6,X_42),X_42),divide(X_6,multiply(divide(X_6,X_42),X_42))) != X_6
| divide(X_6,multiply(divide(X_6,X_42),X_42)) != inverse(divide(X_40,X_40))
| multiply(multiply(divide(X_6,X_42),X_42),inverse(divide(X_40,X_40))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(divide(X_6,X_42),X_42),divide(X_6,multiply(divide(X_6,X_42),X_42))),X_6) ),[0,1],$fot(inverse(divide(X_40,X_40)))]]) ).
cnf(refute_0_138,plain,
( multiply(multiply(divide(X_6,X_42),X_42),divide(X_6,multiply(divide(X_6,X_42),X_42))) != X_6
| multiply(multiply(divide(X_6,X_42),X_42),inverse(divide(X_40,X_40))) = X_6 ),
inference(resolve,[$cnf( $equal(divide(X_6,multiply(divide(X_6,X_42),X_42)),inverse(divide(X_40,X_40))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
multiply(multiply(divide(X_6,X_42),X_42),inverse(divide(X_40,X_40))) = X_6,
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_6,X_42),X_42),divide(X_6,multiply(divide(X_6,X_42),X_42))),X_6) )],[refute_0_120,refute_0_138]) ).
cnf(refute_0_140,plain,
inverse(divide(inverse(inverse(inverse(divide(X_22,X_22)))),divide(X_6,inverse(inverse(divide(X_22,X_22)))))) = X_6,
inference(subst,[],[refute_0_30:[bind(X_5,$fot(inverse(inverse(divide(X_22,X_22)))))]]) ).
cnf(refute_0_141,plain,
inverse(X) = divide(inverse(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))),X),
inference(subst,[],[refute_0_39:[bind(X_1,$fot(inverse(divide(X_3,X_3))))]]) ).
cnf(refute_0_142,plain,
( divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))) != inverse(inverse(divide(X_3,X_3)))
| inverse(X) != divide(inverse(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))),X)
| inverse(X) = divide(inverse(inverse(inverse(divide(X_3,X_3)))),X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),divide(inverse(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))),X)) ),[1,0,0],$fot(inverse(inverse(divide(X_3,X_3))))]]) ).
cnf(refute_0_143,plain,
( inverse(X) != divide(inverse(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))),X)
| inverse(X) = divide(inverse(inverse(inverse(divide(X_3,X_3)))),X) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),inverse(inverse(divide(X_3,X_3)))) )],[refute_0_42,refute_0_142]) ).
cnf(refute_0_144,plain,
inverse(X) = divide(inverse(inverse(inverse(divide(X_3,X_3)))),X),
inference(resolve,[$cnf( $equal(inverse(X),divide(inverse(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))),X)) )],[refute_0_141,refute_0_143]) ).
cnf(refute_0_145,plain,
inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))) = divide(inverse(inverse(inverse(divide(X_22,X_22)))),divide(X_6,inverse(inverse(divide(X_22,X_22))))),
inference(subst,[],[refute_0_144:[bind(X,$fot(divide(X_6,inverse(inverse(divide(X_22,X_22)))))),bind(X_3,$fot(X_22))]]) ).
cnf(refute_0_146,plain,
( inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))) != divide(inverse(inverse(inverse(divide(X_22,X_22)))),divide(X_6,inverse(inverse(divide(X_22,X_22)))))
| divide(inverse(inverse(inverse(divide(X_22,X_22)))),divide(X_6,inverse(inverse(divide(X_22,X_22))))) = inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))))),bind(Y0,$fot(divide(inverse(inverse(inverse(divide(X_22,X_22)))),divide(X_6,inverse(inverse(divide(X_22,X_22)))))))]]) ).
cnf(refute_0_147,plain,
divide(inverse(inverse(inverse(divide(X_22,X_22)))),divide(X_6,inverse(inverse(divide(X_22,X_22))))) = inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))),
inference(resolve,[$cnf( $equal(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))),divide(inverse(inverse(inverse(divide(X_22,X_22)))),divide(X_6,inverse(inverse(divide(X_22,X_22)))))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
( divide(inverse(inverse(inverse(divide(X_22,X_22)))),divide(X_6,inverse(inverse(divide(X_22,X_22))))) != inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))
| inverse(divide(inverse(inverse(inverse(divide(X_22,X_22)))),divide(X_6,inverse(inverse(divide(X_22,X_22)))))) != X_6
| inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(inverse(inverse(divide(X_22,X_22)))),divide(X_6,inverse(inverse(divide(X_22,X_22)))))),X_6) ),[0,0],$fot(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))))]]) ).
cnf(refute_0_149,plain,
( inverse(divide(inverse(inverse(inverse(divide(X_22,X_22)))),divide(X_6,inverse(inverse(divide(X_22,X_22)))))) != X_6
| inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))) = X_6 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(inverse(divide(X_22,X_22)))),divide(X_6,inverse(inverse(divide(X_22,X_22))))),inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))) = X_6,
inference(resolve,[$cnf( $equal(inverse(divide(inverse(inverse(inverse(divide(X_22,X_22)))),divide(X_6,inverse(inverse(divide(X_22,X_22)))))),X_6) )],[refute_0_140,refute_0_149]) ).
cnf(refute_0_151,plain,
divide(X_6,inverse(inverse(divide(X_22,X_22)))) = multiply(X_6,inverse(divide(X_22,X_22))),
inference(subst,[],[refute_0_53:[bind(X,$fot(X_6)),bind(Y,$fot(inverse(divide(X_22,X_22))))]]) ).
cnf(refute_0_152,plain,
inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))) = inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))),
introduced(tautology,[refl,[$fot(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))))]]) ).
cnf(refute_0_153,plain,
( divide(X_6,inverse(inverse(divide(X_22,X_22)))) != multiply(X_6,inverse(divide(X_22,X_22)))
| inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))) != inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))
| inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))) = inverse(multiply(X_6,inverse(divide(X_22,X_22)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))),inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))) ),[1,0],$fot(multiply(X_6,inverse(divide(X_22,X_22))))]]) ).
cnf(refute_0_154,plain,
( divide(X_6,inverse(inverse(divide(X_22,X_22)))) != multiply(X_6,inverse(divide(X_22,X_22)))
| inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))) = inverse(multiply(X_6,inverse(divide(X_22,X_22)))) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))),inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))) = inverse(multiply(X_6,inverse(divide(X_22,X_22)))),
inference(resolve,[$cnf( $equal(divide(X_6,inverse(inverse(divide(X_22,X_22)))),multiply(X_6,inverse(divide(X_22,X_22)))) )],[refute_0_151,refute_0_154]) ).
cnf(refute_0_156,plain,
inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))) = inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))),
introduced(tautology,[refl,[$fot(inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))))]]) ).
cnf(refute_0_157,plain,
( inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))) != inverse(multiply(X_6,inverse(divide(X_22,X_22))))
| inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))) != inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))))
| inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))) = inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))),inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))))) ),[1,0],$fot(inverse(multiply(X_6,inverse(divide(X_22,X_22)))))]]) ).
cnf(refute_0_158,plain,
( inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))) != inverse(multiply(X_6,inverse(divide(X_22,X_22))))
| inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))) = inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22))))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))),inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))) = inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22))))),
inference(resolve,[$cnf( $equal(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22))))),inverse(multiply(X_6,inverse(divide(X_22,X_22))))) )],[refute_0_155,refute_0_158]) ).
cnf(refute_0_160,plain,
( inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))) != X_6
| inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))) != inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22)))))
| inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22))))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))),X_6) ),[0],$fot(inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22))))))]]) ).
cnf(refute_0_161,plain,
( inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))) != X_6
| inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22))))) = X_6 ),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))),inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22)))))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22))))) = X_6,
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_6,inverse(inverse(divide(X_22,X_22)))))),X_6) )],[refute_0_150,refute_0_161]) ).
cnf(refute_0_163,plain,
multiply(X_6,inverse(divide(X_22,X_22))) = divide(X_6,divide(X_22,X_22)),
inference(subst,[],[refute_0_118:[bind(X,$fot(X_6)),bind(X_24,$fot(divide(X_22,X_22)))]]) ).
cnf(refute_0_164,plain,
inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22))))) = multiply(X_6,inverse(divide(X_22,X_22))),
inference(subst,[],[refute_0_92:[bind(X_23,$fot(multiply(X_6,inverse(divide(X_22,X_22)))))]]) ).
cnf(refute_0_165,plain,
( multiply(X_6,inverse(divide(X_22,X_22))) != divide(X_6,divide(X_22,X_22))
| inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22))))) != multiply(X_6,inverse(divide(X_22,X_22)))
| inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22))))) = divide(X_6,divide(X_22,X_22)) ),
inference(subst,[],[refute_0_100:[bind(X0,$fot(inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22))))))),bind(Y0,$fot(multiply(X_6,inverse(divide(X_22,X_22))))),bind(Z0,$fot(divide(X_6,divide(X_22,X_22))))]]) ).
cnf(refute_0_166,plain,
( multiply(X_6,inverse(divide(X_22,X_22))) != divide(X_6,divide(X_22,X_22))
| inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22))))) = divide(X_6,divide(X_22,X_22)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22))))),multiply(X_6,inverse(divide(X_22,X_22)))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22))))) = divide(X_6,divide(X_22,X_22)),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(divide(X_22,X_22))),divide(X_6,divide(X_22,X_22))) )],[refute_0_163,refute_0_166]) ).
cnf(refute_0_168,plain,
( inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22))))) != X_6
| inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22))))) != divide(X_6,divide(X_22,X_22))
| divide(X_6,divide(X_22,X_22)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22))))),X_6) ),[0],$fot(divide(X_6,divide(X_22,X_22)))]]) ).
cnf(refute_0_169,plain,
( inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22))))) != X_6
| divide(X_6,divide(X_22,X_22)) = X_6 ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22))))),divide(X_6,divide(X_22,X_22))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
divide(X_6,divide(X_22,X_22)) = X_6,
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_6,inverse(divide(X_22,X_22))))),X_6) )],[refute_0_162,refute_0_169]) ).
cnf(refute_0_171,plain,
divide(multiply(divide(X_6,X_42),X_42),divide(X_40,X_40)) = multiply(divide(X_6,X_42),X_42),
inference(subst,[],[refute_0_170:[bind(X_22,$fot(X_40)),bind(X_6,$fot(multiply(divide(X_6,X_42),X_42)))]]) ).
cnf(refute_0_172,plain,
multiply(multiply(divide(X_6,X_42),X_42),inverse(divide(X_40,X_40))) = divide(multiply(divide(X_6,X_42),X_42),divide(X_40,X_40)),
inference(subst,[],[refute_0_118:[bind(X,$fot(multiply(divide(X_6,X_42),X_42))),bind(X_24,$fot(divide(X_40,X_40)))]]) ).
cnf(refute_0_173,plain,
( multiply(multiply(divide(X_6,X_42),X_42),inverse(divide(X_40,X_40))) != divide(multiply(divide(X_6,X_42),X_42),divide(X_40,X_40))
| divide(multiply(divide(X_6,X_42),X_42),divide(X_40,X_40)) != multiply(divide(X_6,X_42),X_42)
| multiply(multiply(divide(X_6,X_42),X_42),inverse(divide(X_40,X_40))) = multiply(divide(X_6,X_42),X_42) ),
inference(subst,[],[refute_0_100:[bind(X0,$fot(multiply(multiply(divide(X_6,X_42),X_42),inverse(divide(X_40,X_40))))),bind(Y0,$fot(divide(multiply(divide(X_6,X_42),X_42),divide(X_40,X_40)))),bind(Z0,$fot(multiply(divide(X_6,X_42),X_42)))]]) ).
cnf(refute_0_174,plain,
( divide(multiply(divide(X_6,X_42),X_42),divide(X_40,X_40)) != multiply(divide(X_6,X_42),X_42)
| multiply(multiply(divide(X_6,X_42),X_42),inverse(divide(X_40,X_40))) = multiply(divide(X_6,X_42),X_42) ),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_6,X_42),X_42),inverse(divide(X_40,X_40))),divide(multiply(divide(X_6,X_42),X_42),divide(X_40,X_40))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
multiply(multiply(divide(X_6,X_42),X_42),inverse(divide(X_40,X_40))) = multiply(divide(X_6,X_42),X_42),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_6,X_42),X_42),divide(X_40,X_40)),multiply(divide(X_6,X_42),X_42)) )],[refute_0_171,refute_0_174]) ).
cnf(refute_0_176,plain,
( multiply(multiply(divide(X_6,X_42),X_42),inverse(divide(X_40,X_40))) != X_6
| multiply(multiply(divide(X_6,X_42),X_42),inverse(divide(X_40,X_40))) != multiply(divide(X_6,X_42),X_42)
| multiply(divide(X_6,X_42),X_42) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(divide(X_6,X_42),X_42),inverse(divide(X_40,X_40))),X_6) ),[0],$fot(multiply(divide(X_6,X_42),X_42))]]) ).
cnf(refute_0_177,plain,
( multiply(multiply(divide(X_6,X_42),X_42),inverse(divide(X_40,X_40))) != X_6
| multiply(divide(X_6,X_42),X_42) = X_6 ),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_6,X_42),X_42),inverse(divide(X_40,X_40))),multiply(divide(X_6,X_42),X_42)) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
multiply(divide(X_6,X_42),X_42) = X_6,
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_6,X_42),X_42),inverse(divide(X_40,X_40))),X_6) )],[refute_0_139,refute_0_177]) ).
cnf(refute_0_179,plain,
multiply(divide(divide(X_54,X_49),X_54),X_54) = divide(X_54,X_49),
inference(subst,[],[refute_0_178:[bind(X_42,$fot(X_54)),bind(X_6,$fot(divide(X_54,X_49)))]]) ).
cnf(refute_0_180,plain,
inverse(inverse(divide(divide(X_48,X_49),X_48))) = divide(divide(X_48,X_49),X_48),
inference(subst,[],[refute_0_92:[bind(X_23,$fot(divide(divide(X_48,X_49),X_48)))]]) ).
cnf(refute_0_181,plain,
multiply(inverse(divide(Y,X_28)),Y) = divide(inverse(divide(Y,X_28)),inverse(Y)),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(divide(Y,X_28))))]]) ).
cnf(refute_0_182,plain,
multiply(inverse(X_10),divide(X_6,inverse(X_10))) = X_6,
inference(subst,[],[refute_0_88:[bind(X_5,$fot(inverse(X_10)))]]) ).
cnf(refute_0_183,plain,
multiply(X_6,X_10) = divide(X_6,inverse(X_10)),
inference(subst,[],[refute_0_12:[bind(X,$fot(X_6)),bind(Y,$fot(X_10))]]) ).
cnf(refute_0_184,plain,
( multiply(X_6,X_10) != divide(X_6,inverse(X_10))
| divide(X_6,inverse(X_10)) = multiply(X_6,X_10) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_6,X_10))),bind(Y0,$fot(divide(X_6,inverse(X_10))))]]) ).
cnf(refute_0_185,plain,
divide(X_6,inverse(X_10)) = multiply(X_6,X_10),
inference(resolve,[$cnf( $equal(multiply(X_6,X_10),divide(X_6,inverse(X_10))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
( multiply(inverse(X_10),divide(X_6,inverse(X_10))) != X_6
| divide(X_6,inverse(X_10)) != multiply(X_6,X_10)
| multiply(inverse(X_10),multiply(X_6,X_10)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_10),divide(X_6,inverse(X_10))),X_6) ),[0,1],$fot(multiply(X_6,X_10))]]) ).
cnf(refute_0_187,plain,
( multiply(inverse(X_10),divide(X_6,inverse(X_10))) != X_6
| multiply(inverse(X_10),multiply(X_6,X_10)) = X_6 ),
inference(resolve,[$cnf( $equal(divide(X_6,inverse(X_10)),multiply(X_6,X_10)) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
multiply(inverse(X_10),multiply(X_6,X_10)) = X_6,
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),divide(X_6,inverse(X_10))),X_6) )],[refute_0_182,refute_0_187]) ).
cnf(refute_0_189,plain,
multiply(inverse(divide(X_6,X_27)),multiply(X_27,divide(X_6,X_27))) = X_27,
inference(subst,[],[refute_0_188:[bind(X_10,$fot(divide(X_6,X_27))),bind(X_6,$fot(X_27))]]) ).
cnf(refute_0_190,plain,
multiply(X_27,divide(X_6,X_27)) = X_6,
inference(subst,[],[refute_0_88:[bind(X_5,$fot(X_27))]]) ).
cnf(refute_0_191,plain,
( multiply(X_27,divide(X_6,X_27)) != X_6
| multiply(inverse(divide(X_6,X_27)),multiply(X_27,divide(X_6,X_27))) != X_27
| multiply(inverse(divide(X_6,X_27)),X_6) = X_27 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_6,X_27)),multiply(X_27,divide(X_6,X_27))),X_27) ),[0,1],$fot(X_6)]]) ).
cnf(refute_0_192,plain,
( multiply(inverse(divide(X_6,X_27)),multiply(X_27,divide(X_6,X_27))) != X_27
| multiply(inverse(divide(X_6,X_27)),X_6) = X_27 ),
inference(resolve,[$cnf( $equal(multiply(X_27,divide(X_6,X_27)),X_6) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
multiply(inverse(divide(X_6,X_27)),X_6) = X_27,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_6,X_27)),multiply(X_27,divide(X_6,X_27))),X_27) )],[refute_0_189,refute_0_192]) ).
cnf(refute_0_194,plain,
multiply(inverse(divide(Y,X_28)),Y) = X_28,
inference(subst,[],[refute_0_193:[bind(X_27,$fot(X_28)),bind(X_6,$fot(Y))]]) ).
cnf(refute_0_195,plain,
( multiply(inverse(divide(Y,X_28)),Y) != X_28
| multiply(inverse(divide(Y,X_28)),Y) != divide(inverse(divide(Y,X_28)),inverse(Y))
| X_28 = divide(inverse(divide(Y,X_28)),inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(Y,X_28)),Y),divide(inverse(divide(Y,X_28)),inverse(Y))) ),[0],$fot(X_28)]]) ).
cnf(refute_0_196,plain,
( multiply(inverse(divide(Y,X_28)),Y) != divide(inverse(divide(Y,X_28)),inverse(Y))
| X_28 = divide(inverse(divide(Y,X_28)),inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(Y,X_28)),Y),X_28) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
X_28 = divide(inverse(divide(Y,X_28)),inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(Y,X_28)),Y),divide(inverse(divide(Y,X_28)),inverse(Y))) )],[refute_0_181,refute_0_196]) ).
cnf(refute_0_198,plain,
multiply(inverse(X_10),multiply(inverse(divide(X_10,X_28)),X_10)) = inverse(divide(X_10,X_28)),
inference(subst,[],[refute_0_188:[bind(X_6,$fot(inverse(divide(X_10,X_28))))]]) ).
cnf(refute_0_199,plain,
multiply(inverse(divide(X_10,X_28)),X_10) = X_28,
inference(subst,[],[refute_0_193:[bind(X_27,$fot(X_28)),bind(X_6,$fot(X_10))]]) ).
cnf(refute_0_200,plain,
( multiply(inverse(X_10),multiply(inverse(divide(X_10,X_28)),X_10)) != inverse(divide(X_10,X_28))
| multiply(inverse(divide(X_10,X_28)),X_10) != X_28
| multiply(inverse(X_10),X_28) = inverse(divide(X_10,X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_10),multiply(inverse(divide(X_10,X_28)),X_10)),inverse(divide(X_10,X_28))) ),[0,1],$fot(X_28)]]) ).
cnf(refute_0_201,plain,
( multiply(inverse(X_10),multiply(inverse(divide(X_10,X_28)),X_10)) != inverse(divide(X_10,X_28))
| multiply(inverse(X_10),X_28) = inverse(divide(X_10,X_28)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_10,X_28)),X_10),X_28) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
multiply(inverse(X_10),X_28) = inverse(divide(X_10,X_28)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),multiply(inverse(divide(X_10,X_28)),X_10)),inverse(divide(X_10,X_28))) )],[refute_0_198,refute_0_201]) ).
cnf(refute_0_203,plain,
multiply(inverse(divide(Y,X_28)),Y) = inverse(divide(divide(Y,X_28),Y)),
inference(subst,[],[refute_0_202:[bind(X_10,$fot(divide(Y,X_28))),bind(X_28,$fot(Y))]]) ).
cnf(refute_0_204,plain,
divide(inverse(divide(Y,X_28)),inverse(Y)) = multiply(inverse(divide(Y,X_28)),Y),
inference(subst,[],[refute_0_53:[bind(X,$fot(inverse(divide(Y,X_28))))]]) ).
cnf(refute_0_205,plain,
( multiply(inverse(divide(Y,X_28)),Y) != inverse(divide(divide(Y,X_28),Y))
| divide(inverse(divide(Y,X_28)),inverse(Y)) != multiply(inverse(divide(Y,X_28)),Y)
| divide(inverse(divide(Y,X_28)),inverse(Y)) = inverse(divide(divide(Y,X_28),Y)) ),
inference(subst,[],[refute_0_100:[bind(X0,$fot(divide(inverse(divide(Y,X_28)),inverse(Y)))),bind(Y0,$fot(multiply(inverse(divide(Y,X_28)),Y))),bind(Z0,$fot(inverse(divide(divide(Y,X_28),Y))))]]) ).
cnf(refute_0_206,plain,
( multiply(inverse(divide(Y,X_28)),Y) != inverse(divide(divide(Y,X_28),Y))
| divide(inverse(divide(Y,X_28)),inverse(Y)) = inverse(divide(divide(Y,X_28),Y)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(Y,X_28)),inverse(Y)),multiply(inverse(divide(Y,X_28)),Y)) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
divide(inverse(divide(Y,X_28)),inverse(Y)) = inverse(divide(divide(Y,X_28),Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(Y,X_28)),Y),inverse(divide(divide(Y,X_28),Y))) )],[refute_0_203,refute_0_206]) ).
cnf(refute_0_208,plain,
( X_28 != divide(inverse(divide(Y,X_28)),inverse(Y))
| divide(inverse(divide(Y,X_28)),inverse(Y)) != inverse(divide(divide(Y,X_28),Y))
| X_28 = inverse(divide(divide(Y,X_28),Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_28,inverse(divide(divide(Y,X_28),Y))) ),[0],$fot(divide(inverse(divide(Y,X_28)),inverse(Y)))]]) ).
cnf(refute_0_209,plain,
( X_28 != divide(inverse(divide(Y,X_28)),inverse(Y))
| X_28 = inverse(divide(divide(Y,X_28),Y)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(Y,X_28)),inverse(Y)),inverse(divide(divide(Y,X_28),Y))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
X_28 = inverse(divide(divide(Y,X_28),Y)),
inference(resolve,[$cnf( $equal(X_28,divide(inverse(divide(Y,X_28)),inverse(Y))) )],[refute_0_197,refute_0_209]) ).
cnf(refute_0_211,plain,
X_49 = inverse(divide(divide(X_48,X_49),X_48)),
inference(subst,[],[refute_0_210:[bind(Y,$fot(X_48)),bind(X_28,$fot(X_49))]]) ).
cnf(refute_0_212,plain,
( X_49 != inverse(divide(divide(X_48,X_49),X_48))
| inverse(divide(divide(X_48,X_49),X_48)) = X_49 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_49)),bind(Y0,$fot(inverse(divide(divide(X_48,X_49),X_48))))]]) ).
cnf(refute_0_213,plain,
inverse(divide(divide(X_48,X_49),X_48)) = X_49,
inference(resolve,[$cnf( $equal(X_49,inverse(divide(divide(X_48,X_49),X_48))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
( inverse(divide(divide(X_48,X_49),X_48)) != X_49
| inverse(inverse(divide(divide(X_48,X_49),X_48))) != divide(divide(X_48,X_49),X_48)
| inverse(X_49) = divide(divide(X_48,X_49),X_48) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(divide(X_48,X_49),X_48))),divide(divide(X_48,X_49),X_48)) ),[0,0],$fot(X_49)]]) ).
cnf(refute_0_215,plain,
( inverse(inverse(divide(divide(X_48,X_49),X_48))) != divide(divide(X_48,X_49),X_48)
| inverse(X_49) = divide(divide(X_48,X_49),X_48) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_48,X_49),X_48)),X_49) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
inverse(X_49) = divide(divide(X_48,X_49),X_48),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(divide(X_48,X_49),X_48))),divide(divide(X_48,X_49),X_48)) )],[refute_0_180,refute_0_215]) ).
cnf(refute_0_217,plain,
inverse(X_49) = divide(divide(X_54,X_49),X_54),
inference(subst,[],[refute_0_216:[bind(X_48,$fot(X_54))]]) ).
cnf(refute_0_218,plain,
( inverse(X_49) != divide(divide(X_54,X_49),X_54)
| divide(divide(X_54,X_49),X_54) = inverse(X_49) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_49))),bind(Y0,$fot(divide(divide(X_54,X_49),X_54)))]]) ).
cnf(refute_0_219,plain,
divide(divide(X_54,X_49),X_54) = inverse(X_49),
inference(resolve,[$cnf( $equal(inverse(X_49),divide(divide(X_54,X_49),X_54)) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
( multiply(divide(divide(X_54,X_49),X_54),X_54) != divide(X_54,X_49)
| divide(divide(X_54,X_49),X_54) != inverse(X_49)
| multiply(inverse(X_49),X_54) = divide(X_54,X_49) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(divide(X_54,X_49),X_54),X_54),divide(X_54,X_49)) ),[0,0],$fot(inverse(X_49))]]) ).
cnf(refute_0_221,plain,
( multiply(divide(divide(X_54,X_49),X_54),X_54) != divide(X_54,X_49)
| multiply(inverse(X_49),X_54) = divide(X_54,X_49) ),
inference(resolve,[$cnf( $equal(divide(divide(X_54,X_49),X_54),inverse(X_49)) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
multiply(inverse(X_49),X_54) = divide(X_54,X_49),
inference(resolve,[$cnf( $equal(multiply(divide(divide(X_54,X_49),X_54),X_54),divide(X_54,X_49)) )],[refute_0_179,refute_0_221]) ).
cnf(refute_0_223,plain,
multiply(inverse(X_49),X_54) = inverse(divide(X_49,X_54)),
inference(subst,[],[refute_0_202:[bind(X_10,$fot(X_49)),bind(X_28,$fot(X_54))]]) ).
cnf(refute_0_224,plain,
( multiply(inverse(X_49),X_54) != divide(X_54,X_49)
| multiply(inverse(X_49),X_54) != inverse(divide(X_49,X_54))
| inverse(divide(X_49,X_54)) = divide(X_54,X_49) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_49),X_54),divide(X_54,X_49)) ),[0],$fot(inverse(divide(X_49,X_54)))]]) ).
cnf(refute_0_225,plain,
( multiply(inverse(X_49),X_54) != divide(X_54,X_49)
| inverse(divide(X_49,X_54)) = divide(X_54,X_49) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_49),X_54),inverse(divide(X_49,X_54))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
inverse(divide(X_49,X_54)) = divide(X_54,X_49),
inference(resolve,[$cnf( $equal(multiply(inverse(X_49),X_54),divide(X_54,X_49)) )],[refute_0_222,refute_0_225]) ).
cnf(refute_0_227,plain,
inverse(divide(X_49,multiply(X_83,multiply(X_81,X_49)))) = divide(multiply(X_83,multiply(X_81,X_49)),X_49),
inference(subst,[],[refute_0_226:[bind(X_54,$fot(multiply(X_83,multiply(X_81,X_49))))]]) ).
cnf(refute_0_228,plain,
divide(X,divide(divide(X,divide(X_6,X_5)),divide(divide(divide(X,divide(X_6,X_5)),X_5),divide(X_6,X_5)))) = divide(divide(X,divide(X_6,X_5)),X_5),
inference(subst,[],[single_axiom:[bind(Y,$fot(divide(X_6,X_5))),bind(Z,$fot(divide(divide(X,divide(X_6,X_5)),X_5)))]]) ).
cnf(refute_0_229,plain,
divide(divide(X,divide(X_6,X_5)),divide(divide(divide(X,divide(X_6,X_5)),X_5),divide(X_6,X_5))) = X_6,
inference(subst,[],[single_axiom:[bind(X,$fot(divide(X,divide(X_6,X_5)))),bind(Y,$fot(X_5)),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_230,plain,
( divide(X,divide(divide(X,divide(X_6,X_5)),divide(divide(divide(X,divide(X_6,X_5)),X_5),divide(X_6,X_5)))) != divide(divide(X,divide(X_6,X_5)),X_5)
| divide(divide(X,divide(X_6,X_5)),divide(divide(divide(X,divide(X_6,X_5)),X_5),divide(X_6,X_5))) != X_6
| divide(X,X_6) = divide(divide(X,divide(X_6,X_5)),X_5) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(divide(X,divide(X_6,X_5)),divide(divide(divide(X,divide(X_6,X_5)),X_5),divide(X_6,X_5)))),divide(divide(X,divide(X_6,X_5)),X_5)) ),[0,1],$fot(X_6)]]) ).
cnf(refute_0_231,plain,
( divide(X,divide(divide(X,divide(X_6,X_5)),divide(divide(divide(X,divide(X_6,X_5)),X_5),divide(X_6,X_5)))) != divide(divide(X,divide(X_6,X_5)),X_5)
| divide(X,X_6) = divide(divide(X,divide(X_6,X_5)),X_5) ),
inference(resolve,[$cnf( $equal(divide(divide(X,divide(X_6,X_5)),divide(divide(divide(X,divide(X_6,X_5)),X_5),divide(X_6,X_5))),X_6) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
divide(X,X_6) = divide(divide(X,divide(X_6,X_5)),X_5),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(X,divide(X_6,X_5)),divide(divide(divide(X,divide(X_6,X_5)),X_5),divide(X_6,X_5)))),divide(divide(X,divide(X_6,X_5)),X_5)) )],[refute_0_228,refute_0_231]) ).
cnf(refute_0_233,plain,
multiply(X,divide(X_56,X_57)) = divide(X,inverse(divide(X_56,X_57))),
inference(subst,[],[refute_0_12:[bind(Y,$fot(divide(X_56,X_57)))]]) ).
cnf(refute_0_234,plain,
inverse(divide(X_56,X_57)) = divide(X_57,X_56),
inference(subst,[],[refute_0_226:[bind(X_49,$fot(X_56)),bind(X_54,$fot(X_57))]]) ).
cnf(refute_0_235,plain,
( multiply(X,divide(X_56,X_57)) != divide(X,inverse(divide(X_56,X_57)))
| inverse(divide(X_56,X_57)) != divide(X_57,X_56)
| multiply(X,divide(X_56,X_57)) = divide(X,divide(X_57,X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,divide(X_56,X_57)),divide(X,inverse(divide(X_56,X_57)))) ),[1,1],$fot(divide(X_57,X_56))]]) ).
cnf(refute_0_236,plain,
( multiply(X,divide(X_56,X_57)) != divide(X,inverse(divide(X_56,X_57)))
| multiply(X,divide(X_56,X_57)) = divide(X,divide(X_57,X_56)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_56,X_57)),divide(X_57,X_56)) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
multiply(X,divide(X_56,X_57)) = divide(X,divide(X_57,X_56)),
inference(resolve,[$cnf( $equal(multiply(X,divide(X_56,X_57)),divide(X,inverse(divide(X_56,X_57)))) )],[refute_0_233,refute_0_236]) ).
cnf(refute_0_238,plain,
( multiply(X,divide(X_56,X_57)) != divide(X,divide(X_57,X_56))
| divide(X,divide(X_57,X_56)) = multiply(X,divide(X_56,X_57)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,divide(X_56,X_57)))),bind(Y0,$fot(divide(X,divide(X_57,X_56))))]]) ).
cnf(refute_0_239,plain,
divide(X,divide(X_57,X_56)) = multiply(X,divide(X_56,X_57)),
inference(resolve,[$cnf( $equal(multiply(X,divide(X_56,X_57)),divide(X,divide(X_57,X_56))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
divide(X,divide(X_6,X_5)) = multiply(X,divide(X_5,X_6)),
inference(subst,[],[refute_0_239:[bind(X_56,$fot(X_5)),bind(X_57,$fot(X_6))]]) ).
cnf(refute_0_241,plain,
divide(divide(X,divide(X_6,X_5)),X_5) = divide(divide(X,divide(X_6,X_5)),X_5),
introduced(tautology,[refl,[$fot(divide(divide(X,divide(X_6,X_5)),X_5))]]) ).
cnf(refute_0_242,plain,
( divide(X,divide(X_6,X_5)) != multiply(X,divide(X_5,X_6))
| divide(divide(X,divide(X_6,X_5)),X_5) != divide(divide(X,divide(X_6,X_5)),X_5)
| divide(divide(X,divide(X_6,X_5)),X_5) = divide(multiply(X,divide(X_5,X_6)),X_5) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,divide(X_6,X_5)),X_5),divide(divide(X,divide(X_6,X_5)),X_5)) ),[1,0],$fot(multiply(X,divide(X_5,X_6)))]]) ).
cnf(refute_0_243,plain,
( divide(X,divide(X_6,X_5)) != multiply(X,divide(X_5,X_6))
| divide(divide(X,divide(X_6,X_5)),X_5) = divide(multiply(X,divide(X_5,X_6)),X_5) ),
inference(resolve,[$cnf( $equal(divide(divide(X,divide(X_6,X_5)),X_5),divide(divide(X,divide(X_6,X_5)),X_5)) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
divide(divide(X,divide(X_6,X_5)),X_5) = divide(multiply(X,divide(X_5,X_6)),X_5),
inference(resolve,[$cnf( $equal(divide(X,divide(X_6,X_5)),multiply(X,divide(X_5,X_6))) )],[refute_0_240,refute_0_243]) ).
cnf(refute_0_245,plain,
( divide(X,X_6) != divide(divide(X,divide(X_6,X_5)),X_5)
| divide(divide(X,divide(X_6,X_5)),X_5) != divide(multiply(X,divide(X_5,X_6)),X_5)
| divide(X,X_6) = divide(multiply(X,divide(X_5,X_6)),X_5) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X,X_6),divide(multiply(X,divide(X_5,X_6)),X_5)) ),[0],$fot(divide(divide(X,divide(X_6,X_5)),X_5))]]) ).
cnf(refute_0_246,plain,
( divide(X,X_6) != divide(divide(X,divide(X_6,X_5)),X_5)
| divide(X,X_6) = divide(multiply(X,divide(X_5,X_6)),X_5) ),
inference(resolve,[$cnf( $equal(divide(divide(X,divide(X_6,X_5)),X_5),divide(multiply(X,divide(X_5,X_6)),X_5)) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
divide(X,X_6) = divide(multiply(X,divide(X_5,X_6)),X_5),
inference(resolve,[$cnf( $equal(divide(X,X_6),divide(divide(X,divide(X_6,X_5)),X_5)) )],[refute_0_232,refute_0_246]) ).
cnf(refute_0_248,plain,
divide(inverse(X_10),X_77) = divide(multiply(inverse(X_10),divide(X_76,X_77)),X_76),
inference(subst,[],[refute_0_247:[bind(X,$fot(inverse(X_10))),bind(X_5,$fot(X_76)),bind(X_6,$fot(X_77))]]) ).
cnf(refute_0_249,plain,
inverse(divide(X_10,X_28)) = divide(X_28,X_10),
inference(subst,[],[refute_0_226:[bind(X_49,$fot(X_10)),bind(X_54,$fot(X_28))]]) ).
cnf(refute_0_250,plain,
( multiply(inverse(X_10),X_28) != inverse(divide(X_10,X_28))
| inverse(divide(X_10,X_28)) != divide(X_28,X_10)
| multiply(inverse(X_10),X_28) = divide(X_28,X_10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_10),X_28),divide(X_28,X_10)) ),[0],$fot(inverse(divide(X_10,X_28)))]]) ).
cnf(refute_0_251,plain,
( multiply(inverse(X_10),X_28) != inverse(divide(X_10,X_28))
| multiply(inverse(X_10),X_28) = divide(X_28,X_10) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_10,X_28)),divide(X_28,X_10)) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
multiply(inverse(X_10),X_28) = divide(X_28,X_10),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),X_28),inverse(divide(X_10,X_28))) )],[refute_0_202,refute_0_251]) ).
cnf(refute_0_253,plain,
multiply(inverse(X_10),divide(X_76,X_77)) = divide(divide(X_76,X_77),X_10),
inference(subst,[],[refute_0_252:[bind(X_28,$fot(divide(X_76,X_77)))]]) ).
cnf(refute_0_254,plain,
( multiply(inverse(X_10),divide(X_76,X_77)) != divide(divide(X_76,X_77),X_10)
| divide(inverse(X_10),X_77) != divide(multiply(inverse(X_10),divide(X_76,X_77)),X_76)
| divide(inverse(X_10),X_77) = divide(divide(divide(X_76,X_77),X_10),X_76) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_10),X_77),divide(multiply(inverse(X_10),divide(X_76,X_77)),X_76)) ),[1,0],$fot(divide(divide(X_76,X_77),X_10))]]) ).
cnf(refute_0_255,plain,
( divide(inverse(X_10),X_77) != divide(multiply(inverse(X_10),divide(X_76,X_77)),X_76)
| divide(inverse(X_10),X_77) = divide(divide(divide(X_76,X_77),X_10),X_76) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),divide(X_76,X_77)),divide(divide(X_76,X_77),X_10)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
divide(inverse(X_10),X_77) = divide(divide(divide(X_76,X_77),X_10),X_76),
inference(resolve,[$cnf( $equal(divide(inverse(X_10),X_77),divide(multiply(inverse(X_10),divide(X_76,X_77)),X_76)) )],[refute_0_248,refute_0_255]) ).
cnf(refute_0_257,plain,
inverse(inverse(divide(inverse(X_34),X_35))) = divide(inverse(X_34),X_35),
inference(subst,[],[refute_0_92:[bind(X_23,$fot(divide(inverse(X_34),X_35)))]]) ).
cnf(refute_0_258,plain,
multiply(inverse(inverse(X_23)),X_33) = inverse(divide(inverse(X_23),X_33)),
inference(subst,[],[refute_0_202:[bind(X_10,$fot(inverse(X_23))),bind(X_28,$fot(X_33))]]) ).
cnf(refute_0_259,plain,
( multiply(inverse(inverse(X_23)),X_33) != inverse(divide(inverse(X_23),X_33))
| inverse(inverse(X_23)) != X_23
| multiply(X_23,X_33) = inverse(divide(inverse(X_23),X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_23)),X_33),inverse(divide(inverse(X_23),X_33))) ),[0,0],$fot(X_23)]]) ).
cnf(refute_0_260,plain,
( multiply(inverse(inverse(X_23)),X_33) != inverse(divide(inverse(X_23),X_33))
| multiply(X_23,X_33) = inverse(divide(inverse(X_23),X_33)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_23)),X_23) )],[refute_0_92,refute_0_259]) ).
cnf(refute_0_261,plain,
multiply(X_23,X_33) = inverse(divide(inverse(X_23),X_33)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_23)),X_33),inverse(divide(inverse(X_23),X_33))) )],[refute_0_258,refute_0_260]) ).
cnf(refute_0_262,plain,
multiply(X_34,X_35) = inverse(divide(inverse(X_34),X_35)),
inference(subst,[],[refute_0_261:[bind(X_23,$fot(X_34)),bind(X_33,$fot(X_35))]]) ).
cnf(refute_0_263,plain,
( multiply(X_34,X_35) != inverse(divide(inverse(X_34),X_35))
| inverse(divide(inverse(X_34),X_35)) = multiply(X_34,X_35) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_34,X_35))),bind(Y0,$fot(inverse(divide(inverse(X_34),X_35))))]]) ).
cnf(refute_0_264,plain,
inverse(divide(inverse(X_34),X_35)) = multiply(X_34,X_35),
inference(resolve,[$cnf( $equal(multiply(X_34,X_35),inverse(divide(inverse(X_34),X_35))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
( inverse(divide(inverse(X_34),X_35)) != multiply(X_34,X_35)
| inverse(inverse(divide(inverse(X_34),X_35))) != divide(inverse(X_34),X_35)
| inverse(multiply(X_34,X_35)) = divide(inverse(X_34),X_35) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(inverse(X_34),X_35))),divide(inverse(X_34),X_35)) ),[0,0],$fot(multiply(X_34,X_35))]]) ).
cnf(refute_0_266,plain,
( inverse(inverse(divide(inverse(X_34),X_35))) != divide(inverse(X_34),X_35)
| inverse(multiply(X_34,X_35)) = divide(inverse(X_34),X_35) ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_34),X_35)),multiply(X_34,X_35)) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
inverse(multiply(X_34,X_35)) = divide(inverse(X_34),X_35),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(inverse(X_34),X_35))),divide(inverse(X_34),X_35)) )],[refute_0_257,refute_0_266]) ).
cnf(refute_0_268,plain,
( inverse(multiply(X_34,X_35)) != divide(inverse(X_34),X_35)
| divide(inverse(X_34),X_35) = inverse(multiply(X_34,X_35)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_34,X_35)))),bind(Y0,$fot(divide(inverse(X_34),X_35)))]]) ).
cnf(refute_0_269,plain,
divide(inverse(X_34),X_35) = inverse(multiply(X_34,X_35)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_34,X_35)),divide(inverse(X_34),X_35)) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
divide(inverse(X_10),X_77) = inverse(multiply(X_10,X_77)),
inference(subst,[],[refute_0_269:[bind(X_34,$fot(X_10)),bind(X_35,$fot(X_77))]]) ).
cnf(refute_0_271,plain,
( divide(inverse(X_10),X_77) != divide(divide(divide(X_76,X_77),X_10),X_76)
| divide(inverse(X_10),X_77) != inverse(multiply(X_10,X_77))
| inverse(multiply(X_10,X_77)) = divide(divide(divide(X_76,X_77),X_10),X_76) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_10),X_77),divide(divide(divide(X_76,X_77),X_10),X_76)) ),[0],$fot(inverse(multiply(X_10,X_77)))]]) ).
cnf(refute_0_272,plain,
( divide(inverse(X_10),X_77) != divide(divide(divide(X_76,X_77),X_10),X_76)
| inverse(multiply(X_10,X_77)) = divide(divide(divide(X_76,X_77),X_10),X_76) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_10),X_77),inverse(multiply(X_10,X_77))) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
divide(X_75,multiply(X_43,X_76)) = divide(multiply(X_75,divide(X_76,multiply(X_43,X_76))),X_76),
inference(subst,[],[refute_0_247:[bind(X,$fot(X_75)),bind(X_5,$fot(X_76)),bind(X_6,$fot(multiply(X_43,X_76)))]]) ).
cnf(refute_0_274,plain,
multiply(X_5,divide(inverse(X_43),X_5)) = inverse(X_43),
inference(subst,[],[refute_0_88:[bind(X_6,$fot(inverse(X_43)))]]) ).
cnf(refute_0_275,plain,
inverse(multiply(X_43,X_5)) = divide(inverse(X_43),X_5),
inference(subst,[],[refute_0_267:[bind(X_34,$fot(X_43)),bind(X_35,$fot(X_5))]]) ).
cnf(refute_0_276,plain,
( inverse(multiply(X_43,X_5)) != divide(inverse(X_43),X_5)
| divide(inverse(X_43),X_5) = inverse(multiply(X_43,X_5)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_43,X_5)))),bind(Y0,$fot(divide(inverse(X_43),X_5)))]]) ).
cnf(refute_0_277,plain,
divide(inverse(X_43),X_5) = inverse(multiply(X_43,X_5)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_43,X_5)),divide(inverse(X_43),X_5)) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
( multiply(X_5,divide(inverse(X_43),X_5)) != inverse(X_43)
| divide(inverse(X_43),X_5) != inverse(multiply(X_43,X_5))
| multiply(X_5,inverse(multiply(X_43,X_5))) = inverse(X_43) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_5,divide(inverse(X_43),X_5)),inverse(X_43)) ),[0,1],$fot(inverse(multiply(X_43,X_5)))]]) ).
cnf(refute_0_279,plain,
( multiply(X_5,divide(inverse(X_43),X_5)) != inverse(X_43)
| multiply(X_5,inverse(multiply(X_43,X_5))) = inverse(X_43) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_43),X_5),inverse(multiply(X_43,X_5))) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
multiply(X_5,inverse(multiply(X_43,X_5))) = inverse(X_43),
inference(resolve,[$cnf( $equal(multiply(X_5,divide(inverse(X_43),X_5)),inverse(X_43)) )],[refute_0_274,refute_0_279]) ).
cnf(refute_0_281,plain,
multiply(X_5,inverse(multiply(X_43,X_5))) = divide(X_5,multiply(X_43,X_5)),
inference(subst,[],[refute_0_118:[bind(X,$fot(X_5)),bind(X_24,$fot(multiply(X_43,X_5)))]]) ).
cnf(refute_0_282,plain,
( multiply(X_5,inverse(multiply(X_43,X_5))) != divide(X_5,multiply(X_43,X_5))
| multiply(X_5,inverse(multiply(X_43,X_5))) != inverse(X_43)
| divide(X_5,multiply(X_43,X_5)) = inverse(X_43) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_5,inverse(multiply(X_43,X_5))),inverse(X_43)) ),[0],$fot(divide(X_5,multiply(X_43,X_5)))]]) ).
cnf(refute_0_283,plain,
( multiply(X_5,inverse(multiply(X_43,X_5))) != inverse(X_43)
| divide(X_5,multiply(X_43,X_5)) = inverse(X_43) ),
inference(resolve,[$cnf( $equal(multiply(X_5,inverse(multiply(X_43,X_5))),divide(X_5,multiply(X_43,X_5))) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
divide(X_5,multiply(X_43,X_5)) = inverse(X_43),
inference(resolve,[$cnf( $equal(multiply(X_5,inverse(multiply(X_43,X_5))),inverse(X_43)) )],[refute_0_280,refute_0_283]) ).
cnf(refute_0_285,plain,
divide(X_76,multiply(X_43,X_76)) = inverse(X_43),
inference(subst,[],[refute_0_284:[bind(X_5,$fot(X_76))]]) ).
cnf(refute_0_286,plain,
( divide(X_75,multiply(X_43,X_76)) != divide(multiply(X_75,divide(X_76,multiply(X_43,X_76))),X_76)
| divide(X_76,multiply(X_43,X_76)) != inverse(X_43)
| divide(X_75,multiply(X_43,X_76)) = divide(multiply(X_75,inverse(X_43)),X_76) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_75,multiply(X_43,X_76)),divide(multiply(X_75,divide(X_76,multiply(X_43,X_76))),X_76)) ),[1,0,1],$fot(inverse(X_43))]]) ).
cnf(refute_0_287,plain,
( divide(X_75,multiply(X_43,X_76)) != divide(multiply(X_75,divide(X_76,multiply(X_43,X_76))),X_76)
| divide(X_75,multiply(X_43,X_76)) = divide(multiply(X_75,inverse(X_43)),X_76) ),
inference(resolve,[$cnf( $equal(divide(X_76,multiply(X_43,X_76)),inverse(X_43)) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
divide(X_75,multiply(X_43,X_76)) = divide(multiply(X_75,inverse(X_43)),X_76),
inference(resolve,[$cnf( $equal(divide(X_75,multiply(X_43,X_76)),divide(multiply(X_75,divide(X_76,multiply(X_43,X_76))),X_76)) )],[refute_0_273,refute_0_287]) ).
cnf(refute_0_289,plain,
multiply(X_75,inverse(X_43)) = divide(X_75,X_43),
inference(subst,[],[refute_0_118:[bind(X,$fot(X_75)),bind(X_24,$fot(X_43))]]) ).
cnf(refute_0_290,plain,
divide(multiply(X_75,inverse(X_43)),X_76) = divide(multiply(X_75,inverse(X_43)),X_76),
introduced(tautology,[refl,[$fot(divide(multiply(X_75,inverse(X_43)),X_76))]]) ).
cnf(refute_0_291,plain,
( multiply(X_75,inverse(X_43)) != divide(X_75,X_43)
| divide(multiply(X_75,inverse(X_43)),X_76) != divide(multiply(X_75,inverse(X_43)),X_76)
| divide(multiply(X_75,inverse(X_43)),X_76) = divide(divide(X_75,X_43),X_76) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_75,inverse(X_43)),X_76),divide(multiply(X_75,inverse(X_43)),X_76)) ),[1,0],$fot(divide(X_75,X_43))]]) ).
cnf(refute_0_292,plain,
( multiply(X_75,inverse(X_43)) != divide(X_75,X_43)
| divide(multiply(X_75,inverse(X_43)),X_76) = divide(divide(X_75,X_43),X_76) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_75,inverse(X_43)),X_76),divide(multiply(X_75,inverse(X_43)),X_76)) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
divide(multiply(X_75,inverse(X_43)),X_76) = divide(divide(X_75,X_43),X_76),
inference(resolve,[$cnf( $equal(multiply(X_75,inverse(X_43)),divide(X_75,X_43)) )],[refute_0_289,refute_0_292]) ).
cnf(refute_0_294,plain,
( divide(X_75,multiply(X_43,X_76)) != divide(multiply(X_75,inverse(X_43)),X_76)
| divide(multiply(X_75,inverse(X_43)),X_76) != divide(divide(X_75,X_43),X_76)
| divide(X_75,multiply(X_43,X_76)) = divide(divide(X_75,X_43),X_76) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_75,multiply(X_43,X_76)),divide(divide(X_75,X_43),X_76)) ),[0],$fot(divide(multiply(X_75,inverse(X_43)),X_76))]]) ).
cnf(refute_0_295,plain,
( divide(X_75,multiply(X_43,X_76)) != divide(multiply(X_75,inverse(X_43)),X_76)
| divide(X_75,multiply(X_43,X_76)) = divide(divide(X_75,X_43),X_76) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_75,inverse(X_43)),X_76),divide(divide(X_75,X_43),X_76)) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
divide(X_75,multiply(X_43,X_76)) = divide(divide(X_75,X_43),X_76),
inference(resolve,[$cnf( $equal(divide(X_75,multiply(X_43,X_76)),divide(multiply(X_75,inverse(X_43)),X_76)) )],[refute_0_288,refute_0_295]) ).
cnf(refute_0_297,plain,
( divide(X_75,multiply(X_43,X_76)) != divide(divide(X_75,X_43),X_76)
| divide(divide(X_75,X_43),X_76) = divide(X_75,multiply(X_43,X_76)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(divide(X_75,multiply(X_43,X_76)))),bind(Y0,$fot(divide(divide(X_75,X_43),X_76)))]]) ).
cnf(refute_0_298,plain,
divide(divide(X_75,X_43),X_76) = divide(X_75,multiply(X_43,X_76)),
inference(resolve,[$cnf( $equal(divide(X_75,multiply(X_43,X_76)),divide(divide(X_75,X_43),X_76)) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
divide(divide(X_76,X_77),multiply(X_10,X_76)) = divide(X_76,multiply(X_77,multiply(X_10,X_76))),
inference(subst,[],[refute_0_298:[bind(X_43,$fot(X_77)),bind(X_75,$fot(X_76)),bind(X_76,$fot(multiply(X_10,X_76)))]]) ).
cnf(refute_0_300,plain,
divide(divide(divide(X_76,X_77),X_10),X_76) = divide(divide(X_76,X_77),multiply(X_10,X_76)),
inference(subst,[],[refute_0_298:[bind(X_43,$fot(X_10)),bind(X_75,$fot(divide(X_76,X_77)))]]) ).
cnf(refute_0_301,plain,
( divide(divide(X_76,X_77),multiply(X_10,X_76)) != divide(X_76,multiply(X_77,multiply(X_10,X_76)))
| divide(divide(divide(X_76,X_77),X_10),X_76) != divide(divide(X_76,X_77),multiply(X_10,X_76))
| divide(divide(divide(X_76,X_77),X_10),X_76) = divide(X_76,multiply(X_77,multiply(X_10,X_76))) ),
inference(subst,[],[refute_0_100:[bind(X0,$fot(divide(divide(divide(X_76,X_77),X_10),X_76))),bind(Y0,$fot(divide(divide(X_76,X_77),multiply(X_10,X_76)))),bind(Z0,$fot(divide(X_76,multiply(X_77,multiply(X_10,X_76)))))]]) ).
cnf(refute_0_302,plain,
( divide(divide(X_76,X_77),multiply(X_10,X_76)) != divide(X_76,multiply(X_77,multiply(X_10,X_76)))
| divide(divide(divide(X_76,X_77),X_10),X_76) = divide(X_76,multiply(X_77,multiply(X_10,X_76))) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_76,X_77),X_10),X_76),divide(divide(X_76,X_77),multiply(X_10,X_76))) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
divide(divide(divide(X_76,X_77),X_10),X_76) = divide(X_76,multiply(X_77,multiply(X_10,X_76))),
inference(resolve,[$cnf( $equal(divide(divide(X_76,X_77),multiply(X_10,X_76)),divide(X_76,multiply(X_77,multiply(X_10,X_76)))) )],[refute_0_299,refute_0_302]) ).
cnf(refute_0_304,plain,
( divide(divide(divide(X_76,X_77),X_10),X_76) != divide(X_76,multiply(X_77,multiply(X_10,X_76)))
| inverse(multiply(X_10,X_77)) != divide(divide(divide(X_76,X_77),X_10),X_76)
| inverse(multiply(X_10,X_77)) = divide(X_76,multiply(X_77,multiply(X_10,X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,X_77)),divide(divide(divide(X_76,X_77),X_10),X_76)) ),[1],$fot(divide(X_76,multiply(X_77,multiply(X_10,X_76))))]]) ).
cnf(refute_0_305,plain,
( inverse(multiply(X_10,X_77)) != divide(divide(divide(X_76,X_77),X_10),X_76)
| inverse(multiply(X_10,X_77)) = divide(X_76,multiply(X_77,multiply(X_10,X_76))) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_76,X_77),X_10),X_76),divide(X_76,multiply(X_77,multiply(X_10,X_76)))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
( divide(inverse(X_10),X_77) != divide(divide(divide(X_76,X_77),X_10),X_76)
| inverse(multiply(X_10,X_77)) = divide(X_76,multiply(X_77,multiply(X_10,X_76))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,X_77)),divide(divide(divide(X_76,X_77),X_10),X_76)) )],[refute_0_272,refute_0_305]) ).
cnf(refute_0_307,plain,
inverse(multiply(X_10,X_77)) = divide(X_76,multiply(X_77,multiply(X_10,X_76))),
inference(resolve,[$cnf( $equal(divide(inverse(X_10),X_77),divide(divide(divide(X_76,X_77),X_10),X_76)) )],[refute_0_256,refute_0_306]) ).
cnf(refute_0_308,plain,
inverse(multiply(X_81,X_83)) = divide(X_49,multiply(X_83,multiply(X_81,X_49))),
inference(subst,[],[refute_0_307:[bind(X_10,$fot(X_81)),bind(X_76,$fot(X_49)),bind(X_77,$fot(X_83))]]) ).
cnf(refute_0_309,plain,
( inverse(multiply(X_81,X_83)) != divide(X_49,multiply(X_83,multiply(X_81,X_49)))
| divide(X_49,multiply(X_83,multiply(X_81,X_49))) = inverse(multiply(X_81,X_83)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_81,X_83)))),bind(Y0,$fot(divide(X_49,multiply(X_83,multiply(X_81,X_49)))))]]) ).
cnf(refute_0_310,plain,
divide(X_49,multiply(X_83,multiply(X_81,X_49))) = inverse(multiply(X_81,X_83)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_81,X_83)),divide(X_49,multiply(X_83,multiply(X_81,X_49)))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
( divide(X_49,multiply(X_83,multiply(X_81,X_49))) != inverse(multiply(X_81,X_83))
| inverse(divide(X_49,multiply(X_83,multiply(X_81,X_49)))) != divide(multiply(X_83,multiply(X_81,X_49)),X_49)
| inverse(inverse(multiply(X_81,X_83))) = divide(multiply(X_83,multiply(X_81,X_49)),X_49) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_49,multiply(X_83,multiply(X_81,X_49)))),divide(multiply(X_83,multiply(X_81,X_49)),X_49)) ),[0,0],$fot(inverse(multiply(X_81,X_83)))]]) ).
cnf(refute_0_312,plain,
( inverse(divide(X_49,multiply(X_83,multiply(X_81,X_49)))) != divide(multiply(X_83,multiply(X_81,X_49)),X_49)
| inverse(inverse(multiply(X_81,X_83))) = divide(multiply(X_83,multiply(X_81,X_49)),X_49) ),
inference(resolve,[$cnf( $equal(divide(X_49,multiply(X_83,multiply(X_81,X_49))),inverse(multiply(X_81,X_83))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
inverse(inverse(multiply(X_81,X_83))) = divide(multiply(X_83,multiply(X_81,X_49)),X_49),
inference(resolve,[$cnf( $equal(inverse(divide(X_49,multiply(X_83,multiply(X_81,X_49)))),divide(multiply(X_83,multiply(X_81,X_49)),X_49)) )],[refute_0_227,refute_0_312]) ).
cnf(refute_0_314,plain,
inverse(inverse(multiply(X_81,X_83))) = multiply(X_81,X_83),
inference(subst,[],[refute_0_92:[bind(X_23,$fot(multiply(X_81,X_83)))]]) ).
cnf(refute_0_315,plain,
( inverse(inverse(multiply(X_81,X_83))) != multiply(X_81,X_83)
| inverse(inverse(multiply(X_81,X_83))) != divide(multiply(X_83,multiply(X_81,X_49)),X_49)
| multiply(X_81,X_83) = divide(multiply(X_83,multiply(X_81,X_49)),X_49) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_81,X_83))),divide(multiply(X_83,multiply(X_81,X_49)),X_49)) ),[0],$fot(multiply(X_81,X_83))]]) ).
cnf(refute_0_316,plain,
( inverse(inverse(multiply(X_81,X_83))) != divide(multiply(X_83,multiply(X_81,X_49)),X_49)
| multiply(X_81,X_83) = divide(multiply(X_83,multiply(X_81,X_49)),X_49) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_81,X_83))),multiply(X_81,X_83)) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
multiply(X_81,X_83) = divide(multiply(X_83,multiply(X_81,X_49)),X_49),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_81,X_83))),divide(multiply(X_83,multiply(X_81,X_49)),X_49)) )],[refute_0_313,refute_0_316]) ).
cnf(refute_0_318,plain,
multiply(X_81,divide(X_49,X_49)) = X_81,
inference(subst,[],[refute_0_106:[bind(X_1,$fot(X_49)),bind(X_24,$fot(X_81))]]) ).
cnf(refute_0_319,plain,
inverse(inverse(Y)) = divide(divide(X_50,inverse(Y)),X_50),
inference(subst,[],[refute_0_216:[bind(X_48,$fot(X_50)),bind(X_49,$fot(inverse(Y)))]]) ).
cnf(refute_0_320,plain,
multiply(X_50,Y) = divide(X_50,inverse(Y)),
inference(subst,[],[refute_0_12:[bind(X,$fot(X_50))]]) ).
cnf(refute_0_321,plain,
( multiply(X_50,Y) != divide(X_50,inverse(Y))
| divide(X_50,inverse(Y)) = multiply(X_50,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_50,Y))),bind(Y0,$fot(divide(X_50,inverse(Y))))]]) ).
cnf(refute_0_322,plain,
divide(X_50,inverse(Y)) = multiply(X_50,Y),
inference(resolve,[$cnf( $equal(multiply(X_50,Y),divide(X_50,inverse(Y))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
( divide(X_50,inverse(Y)) != multiply(X_50,Y)
| inverse(inverse(Y)) != divide(divide(X_50,inverse(Y)),X_50)
| inverse(inverse(Y)) = divide(multiply(X_50,Y),X_50) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(Y)),divide(divide(X_50,inverse(Y)),X_50)) ),[1,0],$fot(multiply(X_50,Y))]]) ).
cnf(refute_0_324,plain,
( inverse(inverse(Y)) != divide(divide(X_50,inverse(Y)),X_50)
| inverse(inverse(Y)) = divide(multiply(X_50,Y),X_50) ),
inference(resolve,[$cnf( $equal(divide(X_50,inverse(Y)),multiply(X_50,Y)) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
inverse(inverse(Y)) = divide(multiply(X_50,Y),X_50),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),divide(divide(X_50,inverse(Y)),X_50)) )],[refute_0_319,refute_0_324]) ).
cnf(refute_0_326,plain,
inverse(inverse(Y)) = Y,
inference(subst,[],[refute_0_92:[bind(X_23,$fot(Y))]]) ).
cnf(refute_0_327,plain,
( inverse(inverse(Y)) != Y
| inverse(inverse(Y)) != divide(multiply(X_50,Y),X_50)
| Y = divide(multiply(X_50,Y),X_50) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(Y)),divide(multiply(X_50,Y),X_50)) ),[0],$fot(Y)]]) ).
cnf(refute_0_328,plain,
( inverse(inverse(Y)) != divide(multiply(X_50,Y),X_50)
| Y = divide(multiply(X_50,Y),X_50) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
Y = divide(multiply(X_50,Y),X_50),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),divide(multiply(X_50,Y),X_50)) )],[refute_0_325,refute_0_328]) ).
cnf(refute_0_330,plain,
divide(multiply(X_91,X_92),X_90) = divide(multiply(divide(X_90,X_92),divide(multiply(X_91,X_92),X_90)),divide(X_90,X_92)),
inference(subst,[],[refute_0_329:[bind(Y,$fot(divide(multiply(X_91,X_92),X_90))),bind(X_50,$fot(divide(X_90,X_92)))]]) ).
cnf(refute_0_331,plain,
inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))) = divide(inverse(X_34),divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))),
inference(subst,[],[refute_0_267:[bind(X_35,$fot(divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))))]]) ).
cnf(refute_0_332,plain,
divide(X,divide(divide(X,inverse(X_10)),divide(Z,inverse(X_10)))) = Z,
inference(subst,[],[single_axiom:[bind(Y,$fot(inverse(X_10)))]]) ).
cnf(refute_0_333,plain,
multiply(X,X_10) = divide(X,inverse(X_10)),
inference(subst,[],[refute_0_12:[bind(Y,$fot(X_10))]]) ).
cnf(refute_0_334,plain,
( multiply(X,X_10) != divide(X,inverse(X_10))
| divide(X,inverse(X_10)) = multiply(X,X_10) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,X_10))),bind(Y0,$fot(divide(X,inverse(X_10))))]]) ).
cnf(refute_0_335,plain,
divide(X,inverse(X_10)) = multiply(X,X_10),
inference(resolve,[$cnf( $equal(multiply(X,X_10),divide(X,inverse(X_10))) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
( divide(X,divide(divide(X,inverse(X_10)),divide(Z,inverse(X_10)))) != Z
| divide(X,inverse(X_10)) != multiply(X,X_10)
| divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10)))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(divide(X,inverse(X_10)),divide(Z,inverse(X_10)))),Z) ),[0,1,0],$fot(multiply(X,X_10))]]) ).
cnf(refute_0_337,plain,
( divide(X,divide(divide(X,inverse(X_10)),divide(Z,inverse(X_10)))) != Z
| divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10)))) = Z ),
inference(resolve,[$cnf( $equal(divide(X,inverse(X_10)),multiply(X,X_10)) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10)))) = Z,
inference(resolve,[$cnf( $equal(divide(X,divide(divide(X,inverse(X_10)),divide(Z,inverse(X_10)))),Z) )],[refute_0_332,refute_0_337]) ).
cnf(refute_0_339,plain,
divide(Z,inverse(X_10)) = multiply(Z,X_10),
inference(subst,[],[refute_0_53:[bind(X,$fot(Z)),bind(Y,$fot(X_10))]]) ).
cnf(refute_0_340,plain,
divide(multiply(X,X_10),divide(Z,inverse(X_10))) = divide(multiply(X,X_10),divide(Z,inverse(X_10))),
introduced(tautology,[refl,[$fot(divide(multiply(X,X_10),divide(Z,inverse(X_10))))]]) ).
cnf(refute_0_341,plain,
( divide(Z,inverse(X_10)) != multiply(Z,X_10)
| divide(multiply(X,X_10),divide(Z,inverse(X_10))) != divide(multiply(X,X_10),divide(Z,inverse(X_10)))
| divide(multiply(X,X_10),divide(Z,inverse(X_10))) = divide(multiply(X,X_10),multiply(Z,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X,X_10),divide(Z,inverse(X_10))),divide(multiply(X,X_10),divide(Z,inverse(X_10)))) ),[1,1],$fot(multiply(Z,X_10))]]) ).
cnf(refute_0_342,plain,
( divide(Z,inverse(X_10)) != multiply(Z,X_10)
| divide(multiply(X,X_10),divide(Z,inverse(X_10))) = divide(multiply(X,X_10),multiply(Z,X_10)) ),
inference(resolve,[$cnf( $equal(divide(multiply(X,X_10),divide(Z,inverse(X_10))),divide(multiply(X,X_10),divide(Z,inverse(X_10)))) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
divide(multiply(X,X_10),divide(Z,inverse(X_10))) = divide(multiply(X,X_10),multiply(Z,X_10)),
inference(resolve,[$cnf( $equal(divide(Z,inverse(X_10)),multiply(Z,X_10)) )],[refute_0_339,refute_0_342]) ).
cnf(refute_0_344,plain,
divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10)))) = divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10)))),
introduced(tautology,[refl,[$fot(divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10)))))]]) ).
cnf(refute_0_345,plain,
( divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10)))) != divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10))))
| divide(multiply(X,X_10),divide(Z,inverse(X_10))) != divide(multiply(X,X_10),multiply(Z,X_10))
| divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10)))) = divide(X,divide(multiply(X,X_10),multiply(Z,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10)))),divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10))))) ),[1,1],$fot(divide(multiply(X,X_10),multiply(Z,X_10)))]]) ).
cnf(refute_0_346,plain,
( divide(multiply(X,X_10),divide(Z,inverse(X_10))) != divide(multiply(X,X_10),multiply(Z,X_10))
| divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10)))) = divide(X,divide(multiply(X,X_10),multiply(Z,X_10))) ),
inference(resolve,[$cnf( $equal(divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10)))),divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10))))) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10)))) = divide(X,divide(multiply(X,X_10),multiply(Z,X_10))),
inference(resolve,[$cnf( $equal(divide(multiply(X,X_10),divide(Z,inverse(X_10))),divide(multiply(X,X_10),multiply(Z,X_10))) )],[refute_0_343,refute_0_346]) ).
cnf(refute_0_348,plain,
( divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10)))) != Z
| divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10)))) != divide(X,divide(multiply(X,X_10),multiply(Z,X_10)))
| divide(X,divide(multiply(X,X_10),multiply(Z,X_10))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10)))),Z) ),[0],$fot(divide(X,divide(multiply(X,X_10),multiply(Z,X_10))))]]) ).
cnf(refute_0_349,plain,
( divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10)))) != Z
| divide(X,divide(multiply(X,X_10),multiply(Z,X_10))) = Z ),
inference(resolve,[$cnf( $equal(divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10)))),divide(X,divide(multiply(X,X_10),multiply(Z,X_10)))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
divide(X,divide(multiply(X,X_10),multiply(Z,X_10))) = Z,
inference(resolve,[$cnf( $equal(divide(X,divide(multiply(X,X_10),divide(Z,inverse(X_10)))),Z) )],[refute_0_338,refute_0_349]) ).
cnf(refute_0_351,plain,
divide(inverse(X_34),divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))) = X_46,
inference(subst,[],[refute_0_350:[bind(X,$fot(inverse(X_34))),bind(Z,$fot(X_46)),bind(X_10,$fot(X_47))]]) ).
cnf(refute_0_352,plain,
( divide(inverse(X_34),divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))) != X_46
| inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))) != divide(inverse(X_34),divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))
| inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))) = X_46 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))),divide(inverse(X_34),divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))) ),[1],$fot(X_46)]]) ).
cnf(refute_0_353,plain,
( inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))) != divide(inverse(X_34),divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))
| inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))) = X_46 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_34),divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))),X_46) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))) = X_46,
inference(resolve,[$cnf( $equal(inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))),divide(inverse(X_34),divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))) )],[refute_0_331,refute_0_353]) ).
cnf(refute_0_355,plain,
multiply(X_34,inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47)))) = divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47))),
inference(subst,[],[refute_0_118:[bind(X,$fot(X_34)),bind(X_24,$fot(multiply(divide(X_34,X_47),multiply(X_46,X_47))))]]) ).
cnf(refute_0_356,plain,
divide(inverse(divide(X_34,X_47)),multiply(X_46,X_47)) = inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47))),
inference(subst,[],[refute_0_269:[bind(X_34,$fot(divide(X_34,X_47))),bind(X_35,$fot(multiply(X_46,X_47)))]]) ).
cnf(refute_0_357,plain,
multiply(inverse(X_34),X_47) = inverse(divide(X_34,X_47)),
inference(subst,[],[refute_0_202:[bind(X_10,$fot(X_34)),bind(X_28,$fot(X_47))]]) ).
cnf(refute_0_358,plain,
divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)) = divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)),
introduced(tautology,[refl,[$fot(divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))]]) ).
cnf(refute_0_359,plain,
( multiply(inverse(X_34),X_47) != inverse(divide(X_34,X_47))
| divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)) != divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))
| divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)) = divide(inverse(divide(X_34,X_47)),multiply(X_46,X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)),divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))) ),[1,0],$fot(inverse(divide(X_34,X_47)))]]) ).
cnf(refute_0_360,plain,
( multiply(inverse(X_34),X_47) != inverse(divide(X_34,X_47))
| divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)) = divide(inverse(divide(X_34,X_47)),multiply(X_46,X_47)) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)),divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)) = divide(inverse(divide(X_34,X_47)),multiply(X_46,X_47)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_34),X_47),inverse(divide(X_34,X_47))) )],[refute_0_357,refute_0_360]) ).
cnf(refute_0_362,plain,
( divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)) != divide(inverse(divide(X_34,X_47)),multiply(X_46,X_47))
| divide(inverse(divide(X_34,X_47)),multiply(X_46,X_47)) != inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47)))
| divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)) = inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47))) ),
inference(subst,[],[refute_0_100:[bind(X0,$fot(divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))),bind(Y0,$fot(divide(inverse(divide(X_34,X_47)),multiply(X_46,X_47)))),bind(Z0,$fot(inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47)))))]]) ).
cnf(refute_0_363,plain,
( divide(inverse(divide(X_34,X_47)),multiply(X_46,X_47)) != inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47)))
| divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)) = inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47))) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)),divide(inverse(divide(X_34,X_47)),multiply(X_46,X_47))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)) = inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47))),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_34,X_47)),multiply(X_46,X_47)),inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47)))) )],[refute_0_356,refute_0_363]) ).
cnf(refute_0_365,plain,
multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))) = multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))),
introduced(tautology,[refl,[$fot(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))))]]) ).
cnf(refute_0_366,plain,
( multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))) != multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))
| divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)) != inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47)))
| multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))) = multiply(X_34,inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))),multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))) ),[1,1],$fot(inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47))))]]) ).
cnf(refute_0_367,plain,
( divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)) != inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47)))
| multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))) = multiply(X_34,inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47)))) ),
inference(resolve,[$cnf( $equal(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))),multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))) = multiply(X_34,inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47)))),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)),inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47)))) )],[refute_0_364,refute_0_367]) ).
cnf(refute_0_369,plain,
( multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))) != multiply(X_34,inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47))))
| multiply(X_34,inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47)))) != divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))
| multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))) = divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47))) ),
inference(subst,[],[refute_0_100:[bind(X0,$fot(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))))),bind(Y0,$fot(multiply(X_34,inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47)))))),bind(Z0,$fot(divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))))]]) ).
cnf(refute_0_370,plain,
( multiply(X_34,inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47)))) != divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))
| multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))) = divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47))) ),
inference(resolve,[$cnf( $equal(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))),multiply(X_34,inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47))))) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))) = divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47))),
inference(resolve,[$cnf( $equal(multiply(X_34,inverse(multiply(divide(X_34,X_47),multiply(X_46,X_47)))),divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))) )],[refute_0_355,refute_0_370]) ).
cnf(refute_0_372,plain,
inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))) = inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))))]]) ).
cnf(refute_0_373,plain,
( multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))) != divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))
| inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))) != inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))))
| inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))) = inverse(divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))),inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))))) ),[1,0],$fot(divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47))))]]) ).
cnf(refute_0_374,plain,
( multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))) != divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))
| inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))) = inverse(divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))),inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))))) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))) = inverse(divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))),
inference(resolve,[$cnf( $equal(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47))),divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))) )],[refute_0_371,refute_0_374]) ).
cnf(refute_0_376,plain,
( inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))) != X_46
| inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))) != inverse(divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47))))
| inverse(divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))) = X_46 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))),X_46) ),[0],$fot(inverse(divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))))]]) ).
cnf(refute_0_377,plain,
( inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))) != X_46
| inverse(divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))) = X_46 ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))),inverse(divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47))))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
inverse(divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))) = X_46,
inference(resolve,[$cnf( $equal(inverse(multiply(X_34,divide(multiply(inverse(X_34),X_47),multiply(X_46,X_47)))),X_46) )],[refute_0_354,refute_0_377]) ).
cnf(refute_0_379,plain,
inverse(divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))) = divide(multiply(divide(X_34,X_47),multiply(X_46,X_47)),X_34),
inference(subst,[],[refute_0_226:[bind(X_49,$fot(X_34)),bind(X_54,$fot(multiply(divide(X_34,X_47),multiply(X_46,X_47))))]]) ).
cnf(refute_0_380,plain,
( inverse(divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))) != X_46
| inverse(divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))) != divide(multiply(divide(X_34,X_47),multiply(X_46,X_47)),X_34)
| divide(multiply(divide(X_34,X_47),multiply(X_46,X_47)),X_34) = X_46 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))),X_46) ),[0],$fot(divide(multiply(divide(X_34,X_47),multiply(X_46,X_47)),X_34))]]) ).
cnf(refute_0_381,plain,
( inverse(divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))) != X_46
| divide(multiply(divide(X_34,X_47),multiply(X_46,X_47)),X_34) = X_46 ),
inference(resolve,[$cnf( $equal(inverse(divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))),divide(multiply(divide(X_34,X_47),multiply(X_46,X_47)),X_34)) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
divide(multiply(divide(X_34,X_47),multiply(X_46,X_47)),X_34) = X_46,
inference(resolve,[$cnf( $equal(inverse(divide(X_34,multiply(divide(X_34,X_47),multiply(X_46,X_47)))),X_46) )],[refute_0_378,refute_0_381]) ).
cnf(refute_0_383,plain,
divide(multiply(divide(divide(X_62,X_49),X_62),multiply(X_61,X_62)),divide(X_62,X_49)) = X_61,
inference(subst,[],[refute_0_382:[bind(X_34,$fot(divide(X_62,X_49))),bind(X_46,$fot(X_61)),bind(X_47,$fot(X_62))]]) ).
cnf(refute_0_384,plain,
inverse(X_49) = divide(divide(X_62,X_49),X_62),
inference(subst,[],[refute_0_216:[bind(X_48,$fot(X_62))]]) ).
cnf(refute_0_385,plain,
( inverse(X_49) != divide(divide(X_62,X_49),X_62)
| divide(divide(X_62,X_49),X_62) = inverse(X_49) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_49))),bind(Y0,$fot(divide(divide(X_62,X_49),X_62)))]]) ).
cnf(refute_0_386,plain,
divide(divide(X_62,X_49),X_62) = inverse(X_49),
inference(resolve,[$cnf( $equal(inverse(X_49),divide(divide(X_62,X_49),X_62)) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
( divide(multiply(divide(divide(X_62,X_49),X_62),multiply(X_61,X_62)),divide(X_62,X_49)) != X_61
| divide(divide(X_62,X_49),X_62) != inverse(X_49)
| divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)) = X_61 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(divide(X_62,X_49),X_62),multiply(X_61,X_62)),divide(X_62,X_49)),X_61) ),[0,0,0],$fot(inverse(X_49))]]) ).
cnf(refute_0_388,plain,
( divide(multiply(divide(divide(X_62,X_49),X_62),multiply(X_61,X_62)),divide(X_62,X_49)) != X_61
| divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)) = X_61 ),
inference(resolve,[$cnf( $equal(divide(divide(X_62,X_49),X_62),inverse(X_49)) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)) = X_61,
inference(resolve,[$cnf( $equal(divide(multiply(divide(divide(X_62,X_49),X_62),multiply(X_61,X_62)),divide(X_62,X_49)),X_61) )],[refute_0_383,refute_0_388]) ).
cnf(refute_0_390,plain,
multiply(inverse(X_49),multiply(X_61,X_62)) = divide(multiply(X_61,X_62),X_49),
inference(subst,[],[refute_0_252:[bind(X_10,$fot(X_49)),bind(X_28,$fot(multiply(X_61,X_62)))]]) ).
cnf(refute_0_391,plain,
multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62))) = multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62))),
introduced(tautology,[refl,[$fot(multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62))))]]) ).
cnf(refute_0_392,plain,
( multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62))) != multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62)))
| multiply(inverse(X_49),multiply(X_61,X_62)) != divide(multiply(X_61,X_62),X_49)
| multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62))) = multiply(divide(X_49,X_62),divide(multiply(X_61,X_62),X_49)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62))),multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62)))) ),[1,1],$fot(divide(multiply(X_61,X_62),X_49))]]) ).
cnf(refute_0_393,plain,
( multiply(inverse(X_49),multiply(X_61,X_62)) != divide(multiply(X_61,X_62),X_49)
| multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62))) = multiply(divide(X_49,X_62),divide(multiply(X_61,X_62),X_49)) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62))),multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62)))) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62))) = multiply(divide(X_49,X_62),divide(multiply(X_61,X_62),X_49)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_49),multiply(X_61,X_62)),divide(multiply(X_61,X_62),X_49)) )],[refute_0_390,refute_0_393]) ).
cnf(refute_0_395,plain,
multiply(X_5,divide(multiply(X_59,X_5),X_5)) = multiply(X_59,X_5),
inference(subst,[],[refute_0_88:[bind(X_6,$fot(multiply(X_59,X_5)))]]) ).
cnf(refute_0_396,plain,
multiply(divide(X_55,inverse(Y)),inverse(Y)) = X_55,
inference(subst,[],[refute_0_178:[bind(X_42,$fot(inverse(Y))),bind(X_6,$fot(X_55))]]) ).
cnf(refute_0_397,plain,
multiply(X_55,Y) = divide(X_55,inverse(Y)),
inference(subst,[],[refute_0_12:[bind(X,$fot(X_55))]]) ).
cnf(refute_0_398,plain,
( multiply(X_55,Y) != divide(X_55,inverse(Y))
| divide(X_55,inverse(Y)) = multiply(X_55,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_55,Y))),bind(Y0,$fot(divide(X_55,inverse(Y))))]]) ).
cnf(refute_0_399,plain,
divide(X_55,inverse(Y)) = multiply(X_55,Y),
inference(resolve,[$cnf( $equal(multiply(X_55,Y),divide(X_55,inverse(Y))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
( multiply(divide(X_55,inverse(Y)),inverse(Y)) != X_55
| divide(X_55,inverse(Y)) != multiply(X_55,Y)
| multiply(multiply(X_55,Y),inverse(Y)) = X_55 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_55,inverse(Y)),inverse(Y)),X_55) ),[0,0],$fot(multiply(X_55,Y))]]) ).
cnf(refute_0_401,plain,
( multiply(divide(X_55,inverse(Y)),inverse(Y)) != X_55
| multiply(multiply(X_55,Y),inverse(Y)) = X_55 ),
inference(resolve,[$cnf( $equal(divide(X_55,inverse(Y)),multiply(X_55,Y)) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
multiply(multiply(X_55,Y),inverse(Y)) = X_55,
inference(resolve,[$cnf( $equal(multiply(divide(X_55,inverse(Y)),inverse(Y)),X_55) )],[refute_0_396,refute_0_401]) ).
cnf(refute_0_403,plain,
multiply(multiply(X_55,Y),inverse(Y)) = divide(multiply(X_55,Y),Y),
inference(subst,[],[refute_0_118:[bind(X,$fot(multiply(X_55,Y))),bind(X_24,$fot(Y))]]) ).
cnf(refute_0_404,plain,
( multiply(multiply(X_55,Y),inverse(Y)) != X_55
| multiply(multiply(X_55,Y),inverse(Y)) != divide(multiply(X_55,Y),Y)
| divide(multiply(X_55,Y),Y) = X_55 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_55,Y),inverse(Y)),X_55) ),[0],$fot(divide(multiply(X_55,Y),Y))]]) ).
cnf(refute_0_405,plain,
( multiply(multiply(X_55,Y),inverse(Y)) != X_55
| divide(multiply(X_55,Y),Y) = X_55 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_55,Y),inverse(Y)),divide(multiply(X_55,Y),Y)) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
divide(multiply(X_55,Y),Y) = X_55,
inference(resolve,[$cnf( $equal(multiply(multiply(X_55,Y),inverse(Y)),X_55) )],[refute_0_402,refute_0_405]) ).
cnf(refute_0_407,plain,
divide(multiply(X_59,X_5),X_5) = X_59,
inference(subst,[],[refute_0_406:[bind(Y,$fot(X_5)),bind(X_55,$fot(X_59))]]) ).
cnf(refute_0_408,plain,
( multiply(X_5,divide(multiply(X_59,X_5),X_5)) != multiply(X_59,X_5)
| divide(multiply(X_59,X_5),X_5) != X_59
| multiply(X_5,X_59) = multiply(X_59,X_5) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_5,divide(multiply(X_59,X_5),X_5)),multiply(X_59,X_5)) ),[0,1],$fot(X_59)]]) ).
cnf(refute_0_409,plain,
( multiply(X_5,divide(multiply(X_59,X_5),X_5)) != multiply(X_59,X_5)
| multiply(X_5,X_59) = multiply(X_59,X_5) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_59,X_5),X_5),X_59) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
multiply(X_5,X_59) = multiply(X_59,X_5),
inference(resolve,[$cnf( $equal(multiply(X_5,divide(multiply(X_59,X_5),X_5)),multiply(X_59,X_5)) )],[refute_0_395,refute_0_409]) ).
cnf(refute_0_411,plain,
( multiply(X_5,X_59) != multiply(X_59,X_5)
| multiply(X_59,X_5) = multiply(X_5,X_59) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_5,X_59))),bind(Y0,$fot(multiply(X_59,X_5)))]]) ).
cnf(refute_0_412,plain,
multiply(X_59,X_5) = multiply(X_5,X_59),
inference(resolve,[$cnf( $equal(multiply(X_5,X_59),multiply(X_59,X_5)) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
multiply(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_49,X_62)) = multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62))),
inference(subst,[],[refute_0_412:[bind(X_5,$fot(divide(X_49,X_62))),bind(X_59,$fot(multiply(inverse(X_49),multiply(X_61,X_62))))]]) ).
cnf(refute_0_414,plain,
divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)) = multiply(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_49,X_62)),
inference(subst,[],[refute_0_239:[bind(X,$fot(multiply(inverse(X_49),multiply(X_61,X_62)))),bind(X_56,$fot(X_49)),bind(X_57,$fot(X_62))]]) ).
cnf(refute_0_415,plain,
( multiply(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_49,X_62)) != multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62)))
| divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)) != multiply(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_49,X_62))
| divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)) = multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62))) ),
inference(subst,[],[refute_0_100:[bind(X0,$fot(divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)))),bind(Y0,$fot(multiply(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_49,X_62)))),bind(Z0,$fot(multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62)))))]]) ).
cnf(refute_0_416,plain,
( multiply(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_49,X_62)) != multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62)))
| divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)) = multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62))) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)),multiply(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_49,X_62))) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)) = multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_49,X_62)),multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62)))) )],[refute_0_413,refute_0_416]) ).
cnf(refute_0_418,plain,
( multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62))) != multiply(divide(X_49,X_62),divide(multiply(X_61,X_62),X_49))
| divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)) != multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62)))
| divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)) = multiply(divide(X_49,X_62),divide(multiply(X_61,X_62),X_49)) ),
inference(subst,[],[refute_0_100:[bind(X0,$fot(divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)))),bind(Y0,$fot(multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62))))),bind(Z0,$fot(multiply(divide(X_49,X_62),divide(multiply(X_61,X_62),X_49))))]]) ).
cnf(refute_0_419,plain,
( multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62))) != multiply(divide(X_49,X_62),divide(multiply(X_61,X_62),X_49))
| divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)) = multiply(divide(X_49,X_62),divide(multiply(X_61,X_62),X_49)) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)),multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62)))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)) = multiply(divide(X_49,X_62),divide(multiply(X_61,X_62),X_49)),
inference(resolve,[$cnf( $equal(multiply(divide(X_49,X_62),multiply(inverse(X_49),multiply(X_61,X_62))),multiply(divide(X_49,X_62),divide(multiply(X_61,X_62),X_49))) )],[refute_0_394,refute_0_419]) ).
cnf(refute_0_421,plain,
( divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)) != X_61
| divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)) != multiply(divide(X_49,X_62),divide(multiply(X_61,X_62),X_49))
| multiply(divide(X_49,X_62),divide(multiply(X_61,X_62),X_49)) = X_61 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)),X_61) ),[0],$fot(multiply(divide(X_49,X_62),divide(multiply(X_61,X_62),X_49)))]]) ).
cnf(refute_0_422,plain,
( divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)) != X_61
| multiply(divide(X_49,X_62),divide(multiply(X_61,X_62),X_49)) = X_61 ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)),multiply(divide(X_49,X_62),divide(multiply(X_61,X_62),X_49))) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
multiply(divide(X_49,X_62),divide(multiply(X_61,X_62),X_49)) = X_61,
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_49),multiply(X_61,X_62)),divide(X_62,X_49)),X_61) )],[refute_0_389,refute_0_422]) ).
cnf(refute_0_424,plain,
multiply(divide(X_90,X_92),divide(multiply(X_91,X_92),X_90)) = X_91,
inference(subst,[],[refute_0_423:[bind(X_49,$fot(X_90)),bind(X_61,$fot(X_91)),bind(X_62,$fot(X_92))]]) ).
cnf(refute_0_425,plain,
( multiply(divide(X_90,X_92),divide(multiply(X_91,X_92),X_90)) != X_91
| divide(multiply(X_91,X_92),X_90) != divide(multiply(divide(X_90,X_92),divide(multiply(X_91,X_92),X_90)),divide(X_90,X_92))
| divide(multiply(X_91,X_92),X_90) = divide(X_91,divide(X_90,X_92)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_91,X_92),X_90),divide(multiply(divide(X_90,X_92),divide(multiply(X_91,X_92),X_90)),divide(X_90,X_92))) ),[1,0],$fot(X_91)]]) ).
cnf(refute_0_426,plain,
( divide(multiply(X_91,X_92),X_90) != divide(multiply(divide(X_90,X_92),divide(multiply(X_91,X_92),X_90)),divide(X_90,X_92))
| divide(multiply(X_91,X_92),X_90) = divide(X_91,divide(X_90,X_92)) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_90,X_92),divide(multiply(X_91,X_92),X_90)),X_91) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
divide(multiply(X_91,X_92),X_90) = divide(X_91,divide(X_90,X_92)),
inference(resolve,[$cnf( $equal(divide(multiply(X_91,X_92),X_90),divide(multiply(divide(X_90,X_92),divide(multiply(X_91,X_92),X_90)),divide(X_90,X_92))) )],[refute_0_330,refute_0_426]) ).
cnf(refute_0_428,plain,
divide(X_91,divide(X_90,X_92)) = multiply(X_91,divide(X_92,X_90)),
inference(subst,[],[refute_0_239:[bind(X,$fot(X_91)),bind(X_56,$fot(X_92)),bind(X_57,$fot(X_90))]]) ).
cnf(refute_0_429,plain,
( divide(X_91,divide(X_90,X_92)) != multiply(X_91,divide(X_92,X_90))
| divide(multiply(X_91,X_92),X_90) != divide(X_91,divide(X_90,X_92))
| divide(multiply(X_91,X_92),X_90) = multiply(X_91,divide(X_92,X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_91,X_92),X_90),divide(X_91,divide(X_90,X_92))) ),[1],$fot(multiply(X_91,divide(X_92,X_90)))]]) ).
cnf(refute_0_430,plain,
( divide(multiply(X_91,X_92),X_90) != divide(X_91,divide(X_90,X_92))
| divide(multiply(X_91,X_92),X_90) = multiply(X_91,divide(X_92,X_90)) ),
inference(resolve,[$cnf( $equal(divide(X_91,divide(X_90,X_92)),multiply(X_91,divide(X_92,X_90))) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
divide(multiply(X_91,X_92),X_90) = multiply(X_91,divide(X_92,X_90)),
inference(resolve,[$cnf( $equal(divide(multiply(X_91,X_92),X_90),divide(X_91,divide(X_90,X_92))) )],[refute_0_427,refute_0_430]) ).
cnf(refute_0_432,plain,
divide(multiply(X_81,X_49),X_49) = multiply(X_81,divide(X_49,X_49)),
inference(subst,[],[refute_0_431:[bind(X_90,$fot(X_49)),bind(X_91,$fot(X_81)),bind(X_92,$fot(X_49))]]) ).
cnf(refute_0_433,plain,
( multiply(X_81,divide(X_49,X_49)) != X_81
| divide(multiply(X_81,X_49),X_49) != multiply(X_81,divide(X_49,X_49))
| divide(multiply(X_81,X_49),X_49) = X_81 ),
inference(subst,[],[refute_0_100:[bind(X0,$fot(divide(multiply(X_81,X_49),X_49))),bind(Y0,$fot(multiply(X_81,divide(X_49,X_49)))),bind(Z0,$fot(X_81))]]) ).
cnf(refute_0_434,plain,
( multiply(X_81,divide(X_49,X_49)) != X_81
| divide(multiply(X_81,X_49),X_49) = X_81 ),
inference(resolve,[$cnf( $equal(divide(multiply(X_81,X_49),X_49),multiply(X_81,divide(X_49,X_49))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
divide(multiply(X_81,X_49),X_49) = X_81,
inference(resolve,[$cnf( $equal(multiply(X_81,divide(X_49,X_49)),X_81) )],[refute_0_318,refute_0_434]) ).
cnf(refute_0_436,plain,
multiply(X_83,divide(multiply(X_81,X_49),X_49)) = multiply(X_83,divide(multiply(X_81,X_49),X_49)),
introduced(tautology,[refl,[$fot(multiply(X_83,divide(multiply(X_81,X_49),X_49)))]]) ).
cnf(refute_0_437,plain,
( multiply(X_83,divide(multiply(X_81,X_49),X_49)) != multiply(X_83,divide(multiply(X_81,X_49),X_49))
| divide(multiply(X_81,X_49),X_49) != X_81
| multiply(X_83,divide(multiply(X_81,X_49),X_49)) = multiply(X_83,X_81) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_83,divide(multiply(X_81,X_49),X_49)),multiply(X_83,divide(multiply(X_81,X_49),X_49))) ),[1,1],$fot(X_81)]]) ).
cnf(refute_0_438,plain,
( divide(multiply(X_81,X_49),X_49) != X_81
| multiply(X_83,divide(multiply(X_81,X_49),X_49)) = multiply(X_83,X_81) ),
inference(resolve,[$cnf( $equal(multiply(X_83,divide(multiply(X_81,X_49),X_49)),multiply(X_83,divide(multiply(X_81,X_49),X_49))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
multiply(X_83,divide(multiply(X_81,X_49),X_49)) = multiply(X_83,X_81),
inference(resolve,[$cnf( $equal(divide(multiply(X_81,X_49),X_49),X_81) )],[refute_0_435,refute_0_438]) ).
cnf(refute_0_440,plain,
divide(multiply(X_83,multiply(X_81,X_49)),X_49) = multiply(X_83,divide(multiply(X_81,X_49),X_49)),
inference(subst,[],[refute_0_431:[bind(X_90,$fot(X_49)),bind(X_91,$fot(X_83)),bind(X_92,$fot(multiply(X_81,X_49)))]]) ).
cnf(refute_0_441,plain,
( multiply(X_83,divide(multiply(X_81,X_49),X_49)) != multiply(X_83,X_81)
| divide(multiply(X_83,multiply(X_81,X_49)),X_49) != multiply(X_83,divide(multiply(X_81,X_49),X_49))
| divide(multiply(X_83,multiply(X_81,X_49)),X_49) = multiply(X_83,X_81) ),
inference(subst,[],[refute_0_100:[bind(X0,$fot(divide(multiply(X_83,multiply(X_81,X_49)),X_49))),bind(Y0,$fot(multiply(X_83,divide(multiply(X_81,X_49),X_49)))),bind(Z0,$fot(multiply(X_83,X_81)))]]) ).
cnf(refute_0_442,plain,
( multiply(X_83,divide(multiply(X_81,X_49),X_49)) != multiply(X_83,X_81)
| divide(multiply(X_83,multiply(X_81,X_49)),X_49) = multiply(X_83,X_81) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_83,multiply(X_81,X_49)),X_49),multiply(X_83,divide(multiply(X_81,X_49),X_49))) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
divide(multiply(X_83,multiply(X_81,X_49)),X_49) = multiply(X_83,X_81),
inference(resolve,[$cnf( $equal(multiply(X_83,divide(multiply(X_81,X_49),X_49)),multiply(X_83,X_81)) )],[refute_0_439,refute_0_442]) ).
cnf(refute_0_444,plain,
( multiply(X_81,X_83) != divide(multiply(X_83,multiply(X_81,X_49)),X_49)
| divide(multiply(X_83,multiply(X_81,X_49)),X_49) != multiply(X_83,X_81)
| multiply(X_81,X_83) = multiply(X_83,X_81) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_81,X_83),multiply(X_83,X_81)) ),[0],$fot(divide(multiply(X_83,multiply(X_81,X_49)),X_49))]]) ).
cnf(refute_0_445,plain,
( multiply(X_81,X_83) != divide(multiply(X_83,multiply(X_81,X_49)),X_49)
| multiply(X_81,X_83) = multiply(X_83,X_81) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_83,multiply(X_81,X_49)),X_49),multiply(X_83,X_81)) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
multiply(X_81,X_83) = multiply(X_83,X_81),
inference(resolve,[$cnf( $equal(multiply(X_81,X_83),divide(multiply(X_83,multiply(X_81,X_49)),X_49)) )],[refute_0_317,refute_0_445]) ).
cnf(refute_0_447,plain,
( multiply(X_81,X_83) != multiply(X_83,X_81)
| multiply(X_83,X_81) = multiply(X_81,X_83) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_81,X_83))),bind(Y0,$fot(multiply(X_83,X_81)))]]) ).
cnf(refute_0_448,plain,
multiply(X_83,X_81) = multiply(X_81,X_83),
inference(resolve,[$cnf( $equal(multiply(X_81,X_83),multiply(X_83,X_81)) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(subst,[],[refute_0_448:[bind(X_81,$fot(a1)),bind(X_83,$fot(inverse(a1)))]]) ).
cnf(refute_0_450,plain,
( multiply(a1,inverse(a1)) != divide(a1,a1)
| multiply(inverse(a1),a1) != multiply(a1,inverse(a1))
| multiply(inverse(a1),a1) = divide(a1,a1) ),
inference(subst,[],[refute_0_100:[bind(X0,$fot(multiply(inverse(a1),a1))),bind(Y0,$fot(multiply(a1,inverse(a1)))),bind(Z0,$fot(divide(a1,a1)))]]) ).
cnf(refute_0_451,plain,
( multiply(a1,inverse(a1)) != divide(a1,a1)
| multiply(inverse(a1),a1) = divide(a1,a1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
multiply(inverse(a1),a1) = divide(a1,a1),
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),divide(a1,a1)) )],[refute_0_119,refute_0_451]) ).
cnf(refute_0_453,plain,
( multiply(inverse(a1),a1) != divide(a1,a1)
| divide(a1,a1) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) ),[0],$fot(divide(a1,a1))]]) ).
cnf(refute_0_454,plain,
( divide(a1,a1) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),divide(a1,a1)) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
multiply(b1,inverse(b1)) = divide(b1,b1),
inference(subst,[],[refute_0_118:[bind(X,$fot(b1)),bind(X_24,$fot(b1))]]) ).
cnf(refute_0_456,plain,
multiply(inverse(b1),b1) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_448:[bind(X_81,$fot(b1)),bind(X_83,$fot(inverse(b1)))]]) ).
cnf(refute_0_457,plain,
( multiply(b1,inverse(b1)) != divide(b1,b1)
| multiply(inverse(b1),b1) != multiply(b1,inverse(b1))
| multiply(inverse(b1),b1) = divide(b1,b1) ),
inference(subst,[],[refute_0_100:[bind(X0,$fot(multiply(inverse(b1),b1))),bind(Y0,$fot(multiply(b1,inverse(b1)))),bind(Z0,$fot(divide(b1,b1)))]]) ).
cnf(refute_0_458,plain,
( multiply(b1,inverse(b1)) != divide(b1,b1)
| multiply(inverse(b1),b1) = divide(b1,b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),multiply(b1,inverse(b1))) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
multiply(inverse(b1),b1) = divide(b1,b1),
inference(resolve,[$cnf( $equal(multiply(b1,inverse(b1)),divide(b1,b1)) )],[refute_0_455,refute_0_458]) ).
cnf(refute_0_460,plain,
( multiply(inverse(b1),b1) != divide(b1,b1)
| divide(a1,a1) != divide(b1,b1)
| divide(a1,a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(a1,a1),multiply(inverse(b1),b1)) ),[1],$fot(divide(b1,b1))]]) ).
cnf(refute_0_461,plain,
( divide(a1,a1) != divide(b1,b1)
| divide(a1,a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),divide(b1,b1)) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
( divide(a1,a1) != divide(b1,b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(divide(a1,a1),multiply(inverse(b1),b1)) )],[refute_0_461,refute_0_454]) ).
cnf(refute_0_463,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a4,b4) != multiply(b4,a4)
| divide(a1,a1) != divide(b1,b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_462,prove_these_axioms]) ).
cnf(refute_0_464,plain,
multiply(b4,a4) = multiply(a4,b4),
inference(subst,[],[refute_0_448:[bind(X_81,$fot(a4)),bind(X_83,$fot(b4))]]) ).
cnf(refute_0_465,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(b4,a4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a4,b4),multiply(b4,a4)) ),[1],$fot(multiply(a4,b4))]]) ).
cnf(refute_0_466,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(b4,a4),multiply(a4,b4)) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a4,b4) != multiply(a4,b4)
| divide(a1,a1) != divide(b1,b1) ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(b4,a4)) )],[refute_0_466,refute_0_463]) ).
cnf(refute_0_468,plain,
multiply(a2,divide(b2,b2)) = a2,
inference(subst,[],[refute_0_106:[bind(X_1,$fot(b2)),bind(X_24,$fot(a2))]]) ).
cnf(refute_0_469,plain,
multiply(b2,inverse(b2)) = divide(b2,b2),
inference(subst,[],[refute_0_118:[bind(X,$fot(b2)),bind(X_24,$fot(b2))]]) ).
cnf(refute_0_470,plain,
multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,multiply(b2,inverse(b2))),
introduced(tautology,[refl,[$fot(multiply(a2,multiply(b2,inverse(b2))))]]) ).
cnf(refute_0_471,plain,
( multiply(a2,multiply(b2,inverse(b2))) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(b2,inverse(b2)) != divide(b2,b2)
| multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,divide(b2,b2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),multiply(a2,multiply(b2,inverse(b2)))) ),[1,1],$fot(divide(b2,b2))]]) ).
cnf(refute_0_472,plain,
( multiply(b2,inverse(b2)) != divide(b2,b2)
| multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,divide(b2,b2)) ),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,divide(b2,b2)),
inference(resolve,[$cnf( $equal(multiply(b2,inverse(b2)),divide(b2,b2)) )],[refute_0_469,refute_0_472]) ).
cnf(refute_0_474,plain,
( multiply(a2,multiply(b2,inverse(b2))) != multiply(a2,divide(b2,b2))
| multiply(a2,divide(b2,b2)) != a2
| multiply(a2,multiply(b2,inverse(b2))) = a2 ),
inference(subst,[],[refute_0_100:[bind(X0,$fot(multiply(a2,multiply(b2,inverse(b2))))),bind(Y0,$fot(multiply(a2,divide(b2,b2)))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_475,plain,
( multiply(a2,divide(b2,b2)) != a2
| multiply(a2,multiply(b2,inverse(b2))) = a2 ),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),multiply(a2,divide(b2,b2))) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
multiply(a2,multiply(b2,inverse(b2))) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,divide(b2,b2)),a2) )],[refute_0_468,refute_0_475]) ).
cnf(refute_0_477,plain,
multiply(X,multiply(X_102,X_101)) = divide(X,inverse(multiply(X_102,X_101))),
inference(subst,[],[refute_0_12:[bind(Y,$fot(multiply(X_102,X_101)))]]) ).
cnf(refute_0_478,plain,
divide(X_45,divide(multiply(X_45,X_47),multiply(inverse(X_10),X_47))) = inverse(X_10),
inference(subst,[],[refute_0_350:[bind(X,$fot(X_45)),bind(Z,$fot(inverse(X_10))),bind(X_10,$fot(X_47))]]) ).
cnf(refute_0_479,plain,
multiply(inverse(X_10),X_47) = inverse(divide(X_10,X_47)),
inference(subst,[],[refute_0_202:[bind(X_28,$fot(X_47))]]) ).
cnf(refute_0_480,plain,
( multiply(inverse(X_10),X_47) != inverse(divide(X_10,X_47))
| divide(X_45,divide(multiply(X_45,X_47),multiply(inverse(X_10),X_47))) != inverse(X_10)
| divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47)))) = inverse(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_45,divide(multiply(X_45,X_47),multiply(inverse(X_10),X_47))),inverse(X_10)) ),[0,1,1],$fot(inverse(divide(X_10,X_47)))]]) ).
cnf(refute_0_481,plain,
( divide(X_45,divide(multiply(X_45,X_47),multiply(inverse(X_10),X_47))) != inverse(X_10)
| divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47)))) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),X_47),inverse(divide(X_10,X_47))) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47)))) = inverse(X_10),
inference(resolve,[$cnf( $equal(divide(X_45,divide(multiply(X_45,X_47),multiply(inverse(X_10),X_47))),inverse(X_10)) )],[refute_0_478,refute_0_481]) ).
cnf(refute_0_483,plain,
divide(multiply(X_45,X_47),inverse(divide(X_10,X_47))) = multiply(multiply(X_45,X_47),divide(X_10,X_47)),
inference(subst,[],[refute_0_53:[bind(X,$fot(multiply(X_45,X_47))),bind(Y,$fot(divide(X_10,X_47)))]]) ).
cnf(refute_0_484,plain,
divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47)))) = divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47)))),
introduced(tautology,[refl,[$fot(divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47)))))]]) ).
cnf(refute_0_485,plain,
( divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47)))) != divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47))))
| divide(multiply(X_45,X_47),inverse(divide(X_10,X_47))) != multiply(multiply(X_45,X_47),divide(X_10,X_47))
| divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47)))) = divide(X_45,multiply(multiply(X_45,X_47),divide(X_10,X_47))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47)))),divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47))))) ),[1,1],$fot(multiply(multiply(X_45,X_47),divide(X_10,X_47)))]]) ).
cnf(refute_0_486,plain,
( divide(multiply(X_45,X_47),inverse(divide(X_10,X_47))) != multiply(multiply(X_45,X_47),divide(X_10,X_47))
| divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47)))) = divide(X_45,multiply(multiply(X_45,X_47),divide(X_10,X_47))) ),
inference(resolve,[$cnf( $equal(divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47)))),divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47))))) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47)))) = divide(X_45,multiply(multiply(X_45,X_47),divide(X_10,X_47))),
inference(resolve,[$cnf( $equal(divide(multiply(X_45,X_47),inverse(divide(X_10,X_47))),multiply(multiply(X_45,X_47),divide(X_10,X_47))) )],[refute_0_483,refute_0_486]) ).
cnf(refute_0_488,plain,
( divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47)))) != divide(X_45,multiply(multiply(X_45,X_47),divide(X_10,X_47)))
| divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47)))) != inverse(X_10)
| divide(X_45,multiply(multiply(X_45,X_47),divide(X_10,X_47))) = inverse(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47)))),inverse(X_10)) ),[0],$fot(divide(X_45,multiply(multiply(X_45,X_47),divide(X_10,X_47))))]]) ).
cnf(refute_0_489,plain,
( divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47)))) != inverse(X_10)
| divide(X_45,multiply(multiply(X_45,X_47),divide(X_10,X_47))) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47)))),divide(X_45,multiply(multiply(X_45,X_47),divide(X_10,X_47)))) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
divide(X_45,multiply(multiply(X_45,X_47),divide(X_10,X_47))) = inverse(X_10),
inference(resolve,[$cnf( $equal(divide(X_45,divide(multiply(X_45,X_47),inverse(divide(X_10,X_47)))),inverse(X_10)) )],[refute_0_482,refute_0_489]) ).
cnf(refute_0_491,plain,
divide(X_79,multiply(multiply(X_79,X_80),divide(multiply(X_55,X_80),X_80))) = inverse(multiply(X_55,X_80)),
inference(subst,[],[refute_0_490:[bind(X_10,$fot(multiply(X_55,X_80))),bind(X_45,$fot(X_79)),bind(X_47,$fot(X_80))]]) ).
cnf(refute_0_492,plain,
divide(multiply(X_55,X_80),X_80) = X_55,
inference(subst,[],[refute_0_406:[bind(Y,$fot(X_80))]]) ).
cnf(refute_0_493,plain,
( divide(X_79,multiply(multiply(X_79,X_80),divide(multiply(X_55,X_80),X_80))) != inverse(multiply(X_55,X_80))
| divide(multiply(X_55,X_80),X_80) != X_55
| divide(X_79,multiply(multiply(X_79,X_80),X_55)) = inverse(multiply(X_55,X_80)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_79,multiply(multiply(X_79,X_80),divide(multiply(X_55,X_80),X_80))),inverse(multiply(X_55,X_80))) ),[0,1,1],$fot(X_55)]]) ).
cnf(refute_0_494,plain,
( divide(X_79,multiply(multiply(X_79,X_80),divide(multiply(X_55,X_80),X_80))) != inverse(multiply(X_55,X_80))
| divide(X_79,multiply(multiply(X_79,X_80),X_55)) = inverse(multiply(X_55,X_80)) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_55,X_80),X_80),X_55) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
divide(X_79,multiply(multiply(X_79,X_80),X_55)) = inverse(multiply(X_55,X_80)),
inference(resolve,[$cnf( $equal(divide(X_79,multiply(multiply(X_79,X_80),divide(multiply(X_55,X_80),X_80))),inverse(multiply(X_55,X_80))) )],[refute_0_491,refute_0_494]) ).
cnf(refute_0_496,plain,
divide(X_79,multiply(multiply(X_79,X_80),divide(multiply(X_80,Y),X_80))) = inverse(multiply(X_80,Y)),
inference(subst,[],[refute_0_490:[bind(X_10,$fot(multiply(X_80,Y))),bind(X_45,$fot(X_79)),bind(X_47,$fot(X_80))]]) ).
cnf(refute_0_497,plain,
Y = divide(multiply(X_80,Y),X_80),
inference(subst,[],[refute_0_329:[bind(X_50,$fot(X_80))]]) ).
cnf(refute_0_498,plain,
( Y != divide(multiply(X_80,Y),X_80)
| divide(multiply(X_80,Y),X_80) = Y ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(Y)),bind(Y0,$fot(divide(multiply(X_80,Y),X_80)))]]) ).
cnf(refute_0_499,plain,
divide(multiply(X_80,Y),X_80) = Y,
inference(resolve,[$cnf( $equal(Y,divide(multiply(X_80,Y),X_80)) )],[refute_0_497,refute_0_498]) ).
cnf(refute_0_500,plain,
( divide(X_79,multiply(multiply(X_79,X_80),divide(multiply(X_80,Y),X_80))) != inverse(multiply(X_80,Y))
| divide(multiply(X_80,Y),X_80) != Y
| divide(X_79,multiply(multiply(X_79,X_80),Y)) = inverse(multiply(X_80,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_79,multiply(multiply(X_79,X_80),divide(multiply(X_80,Y),X_80))),inverse(multiply(X_80,Y))) ),[0,1,1],$fot(Y)]]) ).
cnf(refute_0_501,plain,
( divide(X_79,multiply(multiply(X_79,X_80),divide(multiply(X_80,Y),X_80))) != inverse(multiply(X_80,Y))
| divide(X_79,multiply(multiply(X_79,X_80),Y)) = inverse(multiply(X_80,Y)) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_80,Y),X_80),Y) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
divide(X_79,multiply(multiply(X_79,X_80),Y)) = inverse(multiply(X_80,Y)),
inference(resolve,[$cnf( $equal(divide(X_79,multiply(multiply(X_79,X_80),divide(multiply(X_80,Y),X_80))),inverse(multiply(X_80,Y))) )],[refute_0_496,refute_0_501]) ).
cnf(refute_0_503,plain,
divide(X_79,multiply(multiply(X_79,X_80),X_55)) = inverse(multiply(X_80,X_55)),
inference(subst,[],[refute_0_502:[bind(Y,$fot(X_55))]]) ).
cnf(refute_0_504,plain,
( divide(X_79,multiply(multiply(X_79,X_80),X_55)) != inverse(multiply(X_55,X_80))
| divide(X_79,multiply(multiply(X_79,X_80),X_55)) != inverse(multiply(X_80,X_55))
| inverse(multiply(X_80,X_55)) = inverse(multiply(X_55,X_80)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_79,multiply(multiply(X_79,X_80),X_55)),inverse(multiply(X_55,X_80))) ),[0],$fot(inverse(multiply(X_80,X_55)))]]) ).
cnf(refute_0_505,plain,
( divide(X_79,multiply(multiply(X_79,X_80),X_55)) != inverse(multiply(X_55,X_80))
| inverse(multiply(X_80,X_55)) = inverse(multiply(X_55,X_80)) ),
inference(resolve,[$cnf( $equal(divide(X_79,multiply(multiply(X_79,X_80),X_55)),inverse(multiply(X_80,X_55))) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
inverse(multiply(X_80,X_55)) = inverse(multiply(X_55,X_80)),
inference(resolve,[$cnf( $equal(divide(X_79,multiply(multiply(X_79,X_80),X_55)),inverse(multiply(X_55,X_80))) )],[refute_0_495,refute_0_505]) ).
cnf(refute_0_507,plain,
inverse(multiply(X_102,X_101)) = inverse(multiply(X_101,X_102)),
inference(subst,[],[refute_0_506:[bind(X_55,$fot(X_101)),bind(X_80,$fot(X_102))]]) ).
cnf(refute_0_508,plain,
( multiply(X,multiply(X_102,X_101)) != divide(X,inverse(multiply(X_102,X_101)))
| inverse(multiply(X_102,X_101)) != inverse(multiply(X_101,X_102))
| multiply(X,multiply(X_102,X_101)) = divide(X,inverse(multiply(X_101,X_102))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_102,X_101)),divide(X,inverse(multiply(X_102,X_101)))) ),[1,1],$fot(inverse(multiply(X_101,X_102)))]]) ).
cnf(refute_0_509,plain,
( multiply(X,multiply(X_102,X_101)) != divide(X,inverse(multiply(X_102,X_101)))
| multiply(X,multiply(X_102,X_101)) = divide(X,inverse(multiply(X_101,X_102))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_102,X_101)),inverse(multiply(X_101,X_102))) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
multiply(X,multiply(X_102,X_101)) = divide(X,inverse(multiply(X_101,X_102))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_102,X_101)),divide(X,inverse(multiply(X_102,X_101)))) )],[refute_0_477,refute_0_509]) ).
cnf(refute_0_511,plain,
divide(X,inverse(multiply(X_101,X_102))) = multiply(X,multiply(X_101,X_102)),
inference(subst,[],[refute_0_53:[bind(Y,$fot(multiply(X_101,X_102)))]]) ).
cnf(refute_0_512,plain,
( multiply(X,multiply(X_102,X_101)) != divide(X,inverse(multiply(X_101,X_102)))
| divide(X,inverse(multiply(X_101,X_102))) != multiply(X,multiply(X_101,X_102))
| multiply(X,multiply(X_102,X_101)) = multiply(X,multiply(X_101,X_102)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,multiply(X_102,X_101)),multiply(X,multiply(X_101,X_102))) ),[0],$fot(divide(X,inverse(multiply(X_101,X_102))))]]) ).
cnf(refute_0_513,plain,
( multiply(X,multiply(X_102,X_101)) != divide(X,inverse(multiply(X_101,X_102)))
| multiply(X,multiply(X_102,X_101)) = multiply(X,multiply(X_101,X_102)) ),
inference(resolve,[$cnf( $equal(divide(X,inverse(multiply(X_101,X_102))),multiply(X,multiply(X_101,X_102))) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
multiply(X,multiply(X_102,X_101)) = multiply(X,multiply(X_101,X_102)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_102,X_101)),divide(X,inverse(multiply(X_101,X_102)))) )],[refute_0_510,refute_0_513]) ).
cnf(refute_0_515,plain,
( multiply(X,multiply(X_102,X_101)) != multiply(X,multiply(X_101,X_102))
| multiply(X,multiply(X_101,X_102)) = multiply(X,multiply(X_102,X_101)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,multiply(X_102,X_101)))),bind(Y0,$fot(multiply(X,multiply(X_101,X_102))))]]) ).
cnf(refute_0_516,plain,
multiply(X,multiply(X_101,X_102)) = multiply(X,multiply(X_102,X_101)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_102,X_101)),multiply(X,multiply(X_101,X_102))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
multiply(a2,multiply(inverse(b2),b2)) = multiply(a2,multiply(b2,inverse(b2))),
inference(subst,[],[refute_0_516:[bind(X,$fot(a2)),bind(X_101,$fot(inverse(b2))),bind(X_102,$fot(b2))]]) ).
cnf(refute_0_518,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(inverse(b2),b2)),
inference(subst,[],[refute_0_448:[bind(X_81,$fot(a2)),bind(X_83,$fot(multiply(inverse(b2),b2)))]]) ).
cnf(refute_0_519,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(a2,multiply(inverse(b2),b2))
| multiply(a2,multiply(inverse(b2),b2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(subst,[],[refute_0_100:[bind(X0,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y0,$fot(multiply(a2,multiply(inverse(b2),b2)))),bind(Z0,$fot(multiply(a2,multiply(b2,inverse(b2)))))]]) ).
cnf(refute_0_520,plain,
( multiply(a2,multiply(inverse(b2),b2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(a2,multiply(inverse(b2),b2))) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(inverse(b2),b2)),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_517,refute_0_520]) ).
cnf(refute_0_522,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(a2,multiply(b2,inverse(b2))) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(subst,[],[refute_0_100:[bind(X0,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y0,$fot(multiply(a2,multiply(b2,inverse(b2))))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_523,plain,
( multiply(a2,multiply(b2,inverse(b2))) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
multiply(multiply(inverse(b2),b2),a2) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),a2) )],[refute_0_476,refute_0_523]) ).
cnf(refute_0_525,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_526,plain,
( a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4)
| divide(a1,a1) != divide(b1,b1)
| a2 != a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_526,refute_0_467]) ).
cnf(refute_0_528,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_448:[bind(X_81,$fot(c3)),bind(X_83,$fot(multiply(a3,b3)))]]) ).
cnf(refute_0_529,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).
cnf(refute_0_530,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| divide(a1,a1) != divide(b1,b1)
| a2 != a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_530,refute_0_527]) ).
cnf(refute_0_532,plain,
multiply(a4,b4) = multiply(a4,b4),
introduced(tautology,[refl,[$fot(multiply(a4,b4))]]) ).
cnf(refute_0_533,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| divide(a1,a1) != divide(b1,b1)
| a2 != a2 ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(a4,b4)) )],[refute_0_532,refute_0_531]) ).
cnf(refute_0_534,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_535,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| divide(a1,a1) != divide(b1,b1) ),
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_534,refute_0_533]) ).
cnf(refute_0_536,plain,
multiply(X_5,divide(inverse(inverse(inverse(divide(X_22,X_22)))),X_5)) = inverse(inverse(inverse(divide(X_22,X_22)))),
inference(subst,[],[refute_0_88:[bind(X_6,$fot(inverse(inverse(inverse(divide(X_22,X_22))))))]]) ).
cnf(refute_0_537,plain,
inverse(X_5) = divide(inverse(inverse(inverse(divide(X_22,X_22)))),X_5),
inference(subst,[],[refute_0_144:[bind(X,$fot(X_5)),bind(X_3,$fot(X_22))]]) ).
cnf(refute_0_538,plain,
( inverse(X_5) != divide(inverse(inverse(inverse(divide(X_22,X_22)))),X_5)
| divide(inverse(inverse(inverse(divide(X_22,X_22)))),X_5) = inverse(X_5) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_5))),bind(Y0,$fot(divide(inverse(inverse(inverse(divide(X_22,X_22)))),X_5)))]]) ).
cnf(refute_0_539,plain,
divide(inverse(inverse(inverse(divide(X_22,X_22)))),X_5) = inverse(X_5),
inference(resolve,[$cnf( $equal(inverse(X_5),divide(inverse(inverse(inverse(divide(X_22,X_22)))),X_5)) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
( multiply(X_5,divide(inverse(inverse(inverse(divide(X_22,X_22)))),X_5)) != inverse(inverse(inverse(divide(X_22,X_22))))
| divide(inverse(inverse(inverse(divide(X_22,X_22)))),X_5) != inverse(X_5)
| multiply(X_5,inverse(X_5)) = inverse(inverse(inverse(divide(X_22,X_22)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_5,divide(inverse(inverse(inverse(divide(X_22,X_22)))),X_5)),inverse(inverse(inverse(divide(X_22,X_22))))) ),[0,1],$fot(inverse(X_5))]]) ).
cnf(refute_0_541,plain,
( multiply(X_5,divide(inverse(inverse(inverse(divide(X_22,X_22)))),X_5)) != inverse(inverse(inverse(divide(X_22,X_22))))
| multiply(X_5,inverse(X_5)) = inverse(inverse(inverse(divide(X_22,X_22)))) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(inverse(divide(X_22,X_22)))),X_5),inverse(X_5)) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
multiply(X_5,inverse(X_5)) = inverse(inverse(inverse(divide(X_22,X_22)))),
inference(resolve,[$cnf( $equal(multiply(X_5,divide(inverse(inverse(inverse(divide(X_22,X_22)))),X_5)),inverse(inverse(inverse(divide(X_22,X_22))))) )],[refute_0_536,refute_0_541]) ).
cnf(refute_0_543,plain,
multiply(X_5,inverse(X_5)) = divide(X_5,X_5),
inference(subst,[],[refute_0_118:[bind(X,$fot(X_5)),bind(X_24,$fot(X_5))]]) ).
cnf(refute_0_544,plain,
( multiply(X_5,inverse(X_5)) != divide(X_5,X_5)
| multiply(X_5,inverse(X_5)) != inverse(inverse(inverse(divide(X_22,X_22))))
| divide(X_5,X_5) = inverse(inverse(inverse(divide(X_22,X_22)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_5,inverse(X_5)),inverse(inverse(inverse(divide(X_22,X_22))))) ),[0],$fot(divide(X_5,X_5))]]) ).
cnf(refute_0_545,plain,
( multiply(X_5,inverse(X_5)) != inverse(inverse(inverse(divide(X_22,X_22))))
| divide(X_5,X_5) = inverse(inverse(inverse(divide(X_22,X_22)))) ),
inference(resolve,[$cnf( $equal(multiply(X_5,inverse(X_5)),divide(X_5,X_5)) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
inverse(inverse(inverse(divide(X_22,X_22)))) = inverse(divide(X_22,X_22)),
inference(subst,[],[refute_0_92:[bind(X_23,$fot(inverse(divide(X_22,X_22))))]]) ).
cnf(refute_0_547,plain,
( divide(X_5,X_5) != inverse(inverse(inverse(divide(X_22,X_22))))
| inverse(inverse(inverse(divide(X_22,X_22)))) != inverse(divide(X_22,X_22))
| divide(X_5,X_5) = inverse(divide(X_22,X_22)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_5,X_5),inverse(divide(X_22,X_22))) ),[0],$fot(inverse(inverse(inverse(divide(X_22,X_22)))))]]) ).
cnf(refute_0_548,plain,
( divide(X_5,X_5) != inverse(inverse(inverse(divide(X_22,X_22))))
| divide(X_5,X_5) = inverse(divide(X_22,X_22)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(divide(X_22,X_22)))),inverse(divide(X_22,X_22))) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
( multiply(X_5,inverse(X_5)) != inverse(inverse(inverse(divide(X_22,X_22))))
| divide(X_5,X_5) = inverse(divide(X_22,X_22)) ),
inference(resolve,[$cnf( $equal(divide(X_5,X_5),inverse(inverse(inverse(divide(X_22,X_22))))) )],[refute_0_545,refute_0_548]) ).
cnf(refute_0_550,plain,
divide(X_5,X_5) = inverse(divide(X_22,X_22)),
inference(resolve,[$cnf( $equal(multiply(X_5,inverse(X_5)),inverse(inverse(inverse(divide(X_22,X_22))))) )],[refute_0_542,refute_0_549]) ).
cnf(refute_0_551,plain,
divide(X_22,X_22) = inverse(divide(X_36,X_36)),
inference(subst,[],[refute_0_550:[bind(X_22,$fot(X_36)),bind(X_5,$fot(X_22))]]) ).
cnf(refute_0_552,plain,
( divide(X_22,X_22) != inverse(divide(X_36,X_36))
| divide(X_5,X_5) != inverse(divide(X_22,X_22))
| divide(X_5,X_5) = inverse(inverse(divide(X_36,X_36))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_5,X_5),inverse(divide(X_22,X_22))) ),[1,0],$fot(inverse(divide(X_36,X_36)))]]) ).
cnf(refute_0_553,plain,
( divide(X_5,X_5) != inverse(divide(X_22,X_22))
| divide(X_5,X_5) = inverse(inverse(divide(X_36,X_36))) ),
inference(resolve,[$cnf( $equal(divide(X_22,X_22),inverse(divide(X_36,X_36))) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
divide(X_5,X_5) = inverse(inverse(divide(X_36,X_36))),
inference(resolve,[$cnf( $equal(divide(X_5,X_5),inverse(divide(X_22,X_22))) )],[refute_0_550,refute_0_553]) ).
cnf(refute_0_555,plain,
inverse(inverse(divide(X_36,X_36))) = divide(X_36,X_36),
inference(subst,[],[refute_0_92:[bind(X_23,$fot(divide(X_36,X_36)))]]) ).
cnf(refute_0_556,plain,
( divide(X_5,X_5) != inverse(inverse(divide(X_36,X_36)))
| inverse(inverse(divide(X_36,X_36))) != divide(X_36,X_36)
| divide(X_5,X_5) = divide(X_36,X_36) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_5,X_5),divide(X_36,X_36)) ),[0],$fot(inverse(inverse(divide(X_36,X_36))))]]) ).
cnf(refute_0_557,plain,
( divide(X_5,X_5) != inverse(inverse(divide(X_36,X_36)))
| divide(X_5,X_5) = divide(X_36,X_36) ),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_36,X_36))),divide(X_36,X_36)) )],[refute_0_555,refute_0_556]) ).
cnf(refute_0_558,plain,
divide(X_5,X_5) = divide(X_36,X_36),
inference(resolve,[$cnf( $equal(divide(X_5,X_5),inverse(inverse(divide(X_36,X_36)))) )],[refute_0_554,refute_0_557]) ).
cnf(refute_0_559,plain,
( divide(X_5,X_5) != divide(X_36,X_36)
| divide(X_36,X_36) = divide(X_5,X_5) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(divide(X_5,X_5))),bind(Y0,$fot(divide(X_36,X_36)))]]) ).
cnf(refute_0_560,plain,
divide(X_36,X_36) = divide(X_5,X_5),
inference(resolve,[$cnf( $equal(divide(X_5,X_5),divide(X_36,X_36)) )],[refute_0_558,refute_0_559]) ).
cnf(refute_0_561,plain,
divide(a1,a1) = divide(b1,b1),
inference(subst,[],[refute_0_560:[bind(X_36,$fot(a1)),bind(X_5,$fot(b1))]]) ).
cnf(refute_0_562,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(divide(a1,a1),divide(b1,b1)) )],[refute_0_561,refute_0_535]) ).
cnf(refute_0_563,plain,
divide(X_69,multiply(X_50,divide(X_69,X_68))) = divide(multiply(X_50,divide(X_69,multiply(X_50,divide(X_69,X_68)))),X_50),
inference(subst,[],[refute_0_329:[bind(Y,$fot(divide(X_69,multiply(X_50,divide(X_69,X_68)))))]]) ).
cnf(refute_0_564,plain,
divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),divide(Z,divide(divide(Z,X_5),divide(X_6,X_5))))) = Z,
inference(subst,[],[single_axiom:[bind(Y,$fot(divide(divide(Z,X_5),divide(X_6,X_5))))]]) ).
cnf(refute_0_565,plain,
divide(Z,divide(divide(Z,X_5),divide(X_6,X_5))) = X_6,
inference(subst,[],[single_axiom:[bind(X,$fot(Z)),bind(Y,$fot(X_5)),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_566,plain,
( divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),divide(Z,divide(divide(Z,X_5),divide(X_6,X_5))))) != Z
| divide(Z,divide(divide(Z,X_5),divide(X_6,X_5))) != X_6
| divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),divide(Z,divide(divide(Z,X_5),divide(X_6,X_5))))),Z) ),[0,1,1],$fot(X_6)]]) ).
cnf(refute_0_567,plain,
( divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),divide(Z,divide(divide(Z,X_5),divide(X_6,X_5))))) != Z
| divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)) = Z ),
inference(resolve,[$cnf( $equal(divide(Z,divide(divide(Z,X_5),divide(X_6,X_5))),X_6) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)) = Z,
inference(resolve,[$cnf( $equal(divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),divide(Z,divide(divide(Z,X_5),divide(X_6,X_5))))),Z) )],[refute_0_564,refute_0_567]) ).
cnf(refute_0_569,plain,
divide(X,inverse(divide(X_6,Z))) = multiply(X,divide(X_6,Z)),
inference(subst,[],[refute_0_53:[bind(Y,$fot(divide(X_6,Z)))]]) ).
cnf(refute_0_570,plain,
multiply(inverse(divide(X_29,divide(divide(X_29,Y),divide(Z,Y)))),X_29) = divide(divide(X_29,Y),divide(Z,Y)),
inference(subst,[],[refute_0_193:[bind(X_27,$fot(divide(divide(X_29,Y),divide(Z,Y)))),bind(X_6,$fot(X_29))]]) ).
cnf(refute_0_571,plain,
divide(X_29,divide(divide(X_29,Y),divide(Z,Y))) = Z,
inference(subst,[],[single_axiom:[bind(X,$fot(X_29))]]) ).
cnf(refute_0_572,plain,
( multiply(inverse(divide(X_29,divide(divide(X_29,Y),divide(Z,Y)))),X_29) != divide(divide(X_29,Y),divide(Z,Y))
| divide(X_29,divide(divide(X_29,Y),divide(Z,Y))) != Z
| multiply(inverse(Z),X_29) = divide(divide(X_29,Y),divide(Z,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_29,divide(divide(X_29,Y),divide(Z,Y)))),X_29),divide(divide(X_29,Y),divide(Z,Y))) ),[0,0,0],$fot(Z)]]) ).
cnf(refute_0_573,plain,
( multiply(inverse(divide(X_29,divide(divide(X_29,Y),divide(Z,Y)))),X_29) != divide(divide(X_29,Y),divide(Z,Y))
| multiply(inverse(Z),X_29) = divide(divide(X_29,Y),divide(Z,Y)) ),
inference(resolve,[$cnf( $equal(divide(X_29,divide(divide(X_29,Y),divide(Z,Y))),Z) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
multiply(inverse(Z),X_29) = divide(divide(X_29,Y),divide(Z,Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_29,divide(divide(X_29,Y),divide(Z,Y)))),X_29),divide(divide(X_29,Y),divide(Z,Y))) )],[refute_0_570,refute_0_573]) ).
cnf(refute_0_575,plain,
multiply(inverse(Z),X_29) = inverse(divide(Z,X_29)),
inference(subst,[],[refute_0_202:[bind(X_10,$fot(Z)),bind(X_28,$fot(X_29))]]) ).
cnf(refute_0_576,plain,
( multiply(inverse(Z),X_29) != divide(divide(X_29,Y),divide(Z,Y))
| multiply(inverse(Z),X_29) != inverse(divide(Z,X_29))
| inverse(divide(Z,X_29)) = divide(divide(X_29,Y),divide(Z,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Z),X_29),divide(divide(X_29,Y),divide(Z,Y))) ),[0],$fot(inverse(divide(Z,X_29)))]]) ).
cnf(refute_0_577,plain,
( multiply(inverse(Z),X_29) != divide(divide(X_29,Y),divide(Z,Y))
| inverse(divide(Z,X_29)) = divide(divide(X_29,Y),divide(Z,Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Z),X_29),inverse(divide(Z,X_29))) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
inverse(divide(Z,X_29)) = divide(divide(X_29,Y),divide(Z,Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(Z),X_29),divide(divide(X_29,Y),divide(Z,Y))) )],[refute_0_574,refute_0_577]) ).
cnf(refute_0_579,plain,
( inverse(divide(Z,X_29)) != divide(divide(X_29,Y),divide(Z,Y))
| divide(divide(X_29,Y),divide(Z,Y)) = inverse(divide(Z,X_29)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(divide(Z,X_29)))),bind(Y0,$fot(divide(divide(X_29,Y),divide(Z,Y))))]]) ).
cnf(refute_0_580,plain,
divide(divide(X_29,Y),divide(Z,Y)) = inverse(divide(Z,X_29)),
inference(resolve,[$cnf( $equal(inverse(divide(Z,X_29)),divide(divide(X_29,Y),divide(Z,Y))) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
divide(divide(Z,X_5),divide(X_6,X_5)) = inverse(divide(X_6,Z)),
inference(subst,[],[refute_0_580:[bind(Y,$fot(X_5)),bind(Z,$fot(X_6)),bind(X_29,$fot(Z))]]) ).
cnf(refute_0_582,plain,
divide(X,divide(divide(Z,X_5),divide(X_6,X_5))) = divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),
introduced(tautology,[refl,[$fot(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))))]]) ).
cnf(refute_0_583,plain,
( divide(X,divide(divide(Z,X_5),divide(X_6,X_5))) != divide(X,divide(divide(Z,X_5),divide(X_6,X_5)))
| divide(divide(Z,X_5),divide(X_6,X_5)) != inverse(divide(X_6,Z))
| divide(X,divide(divide(Z,X_5),divide(X_6,X_5))) = divide(X,inverse(divide(X_6,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),divide(X,divide(divide(Z,X_5),divide(X_6,X_5)))) ),[1,1],$fot(inverse(divide(X_6,Z)))]]) ).
cnf(refute_0_584,plain,
( divide(divide(Z,X_5),divide(X_6,X_5)) != inverse(divide(X_6,Z))
| divide(X,divide(divide(Z,X_5),divide(X_6,X_5))) = divide(X,inverse(divide(X_6,Z))) ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),divide(X,divide(divide(Z,X_5),divide(X_6,X_5)))) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
divide(X,divide(divide(Z,X_5),divide(X_6,X_5))) = divide(X,inverse(divide(X_6,Z))),
inference(resolve,[$cnf( $equal(divide(divide(Z,X_5),divide(X_6,X_5)),inverse(divide(X_6,Z))) )],[refute_0_581,refute_0_584]) ).
cnf(refute_0_586,plain,
( divide(X,divide(divide(Z,X_5),divide(X_6,X_5))) != divide(X,inverse(divide(X_6,Z)))
| divide(X,inverse(divide(X_6,Z))) != multiply(X,divide(X_6,Z))
| divide(X,divide(divide(Z,X_5),divide(X_6,X_5))) = multiply(X,divide(X_6,Z)) ),
inference(subst,[],[refute_0_100:[bind(X0,$fot(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))))),bind(Y0,$fot(divide(X,inverse(divide(X_6,Z))))),bind(Z0,$fot(multiply(X,divide(X_6,Z))))]]) ).
cnf(refute_0_587,plain,
( divide(X,inverse(divide(X_6,Z))) != multiply(X,divide(X_6,Z))
| divide(X,divide(divide(Z,X_5),divide(X_6,X_5))) = multiply(X,divide(X_6,Z)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),divide(X,inverse(divide(X_6,Z)))) )],[refute_0_585,refute_0_586]) ).
cnf(refute_0_588,plain,
divide(X,divide(divide(Z,X_5),divide(X_6,X_5))) = multiply(X,divide(X_6,Z)),
inference(resolve,[$cnf( $equal(divide(X,inverse(divide(X_6,Z))),multiply(X,divide(X_6,Z))) )],[refute_0_569,refute_0_587]) ).
cnf(refute_0_589,plain,
divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6) = divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6),
introduced(tautology,[refl,[$fot(divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6))]]) ).
cnf(refute_0_590,plain,
( divide(X,divide(divide(Z,X_5),divide(X_6,X_5))) != multiply(X,divide(X_6,Z))
| divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6) != divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)
| divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6) = divide(multiply(X,divide(X_6,Z)),X_6) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6),divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)) ),[1,0],$fot(multiply(X,divide(X_6,Z)))]]) ).
cnf(refute_0_591,plain,
( divide(X,divide(divide(Z,X_5),divide(X_6,X_5))) != multiply(X,divide(X_6,Z))
| divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6) = divide(multiply(X,divide(X_6,Z)),X_6) ),
inference(resolve,[$cnf( $equal(divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6),divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6) = divide(multiply(X,divide(X_6,Z)),X_6),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),multiply(X,divide(X_6,Z))) )],[refute_0_588,refute_0_591]) ).
cnf(refute_0_593,plain,
divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)) = divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)),
introduced(tautology,[refl,[$fot(divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)))]]) ).
cnf(refute_0_594,plain,
( divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)) != divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6))
| divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6) != divide(multiply(X,divide(X_6,Z)),X_6)
| divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)) = divide(X,divide(multiply(X,divide(X_6,Z)),X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)),divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6))) ),[1,1],$fot(divide(multiply(X,divide(X_6,Z)),X_6))]]) ).
cnf(refute_0_595,plain,
( divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6) != divide(multiply(X,divide(X_6,Z)),X_6)
| divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)) = divide(X,divide(multiply(X,divide(X_6,Z)),X_6)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)),divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6))) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)) = divide(X,divide(multiply(X,divide(X_6,Z)),X_6)),
inference(resolve,[$cnf( $equal(divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6),divide(multiply(X,divide(X_6,Z)),X_6)) )],[refute_0_592,refute_0_595]) ).
cnf(refute_0_597,plain,
( divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)) != Z
| divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)) != divide(X,divide(multiply(X,divide(X_6,Z)),X_6))
| divide(X,divide(multiply(X,divide(X_6,Z)),X_6)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)),Z) ),[0],$fot(divide(X,divide(multiply(X,divide(X_6,Z)),X_6)))]]) ).
cnf(refute_0_598,plain,
( divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)) != Z
| divide(X,divide(multiply(X,divide(X_6,Z)),X_6)) = Z ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)),divide(X,divide(multiply(X,divide(X_6,Z)),X_6))) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
divide(X,divide(multiply(X,divide(X_6,Z)),X_6)) = Z,
inference(resolve,[$cnf( $equal(divide(X,divide(divide(X,divide(divide(Z,X_5),divide(X_6,X_5))),X_6)),Z) )],[refute_0_568,refute_0_598]) ).
cnf(refute_0_600,plain,
divide(X,divide(multiply(X,divide(X_6,Z)),X_6)) = multiply(X,divide(X_6,multiply(X,divide(X_6,Z)))),
inference(subst,[],[refute_0_239:[bind(X_56,$fot(X_6)),bind(X_57,$fot(multiply(X,divide(X_6,Z))))]]) ).
cnf(refute_0_601,plain,
( divide(X,divide(multiply(X,divide(X_6,Z)),X_6)) != Z
| divide(X,divide(multiply(X,divide(X_6,Z)),X_6)) != multiply(X,divide(X_6,multiply(X,divide(X_6,Z))))
| multiply(X,divide(X_6,multiply(X,divide(X_6,Z)))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(multiply(X,divide(X_6,Z)),X_6)),Z) ),[0],$fot(multiply(X,divide(X_6,multiply(X,divide(X_6,Z)))))]]) ).
cnf(refute_0_602,plain,
( divide(X,divide(multiply(X,divide(X_6,Z)),X_6)) != Z
| multiply(X,divide(X_6,multiply(X,divide(X_6,Z)))) = Z ),
inference(resolve,[$cnf( $equal(divide(X,divide(multiply(X,divide(X_6,Z)),X_6)),multiply(X,divide(X_6,multiply(X,divide(X_6,Z))))) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
multiply(X,divide(X_6,multiply(X,divide(X_6,Z)))) = Z,
inference(resolve,[$cnf( $equal(divide(X,divide(multiply(X,divide(X_6,Z)),X_6)),Z) )],[refute_0_599,refute_0_602]) ).
cnf(refute_0_604,plain,
multiply(X_50,divide(X_69,multiply(X_50,divide(X_69,X_68)))) = X_68,
inference(subst,[],[refute_0_603:[bind(X,$fot(X_50)),bind(Z,$fot(X_68)),bind(X_6,$fot(X_69))]]) ).
cnf(refute_0_605,plain,
( multiply(X_50,divide(X_69,multiply(X_50,divide(X_69,X_68)))) != X_68
| divide(X_69,multiply(X_50,divide(X_69,X_68))) != divide(multiply(X_50,divide(X_69,multiply(X_50,divide(X_69,X_68)))),X_50)
| divide(X_69,multiply(X_50,divide(X_69,X_68))) = divide(X_68,X_50) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_69,multiply(X_50,divide(X_69,X_68))),divide(multiply(X_50,divide(X_69,multiply(X_50,divide(X_69,X_68)))),X_50)) ),[1,0],$fot(X_68)]]) ).
cnf(refute_0_606,plain,
( divide(X_69,multiply(X_50,divide(X_69,X_68))) != divide(multiply(X_50,divide(X_69,multiply(X_50,divide(X_69,X_68)))),X_50)
| divide(X_69,multiply(X_50,divide(X_69,X_68))) = divide(X_68,X_50) ),
inference(resolve,[$cnf( $equal(multiply(X_50,divide(X_69,multiply(X_50,divide(X_69,X_68)))),X_68) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
divide(X_69,multiply(X_50,divide(X_69,X_68))) = divide(X_68,X_50),
inference(resolve,[$cnf( $equal(divide(X_69,multiply(X_50,divide(X_69,X_68))),divide(multiply(X_50,divide(X_69,multiply(X_50,divide(X_69,X_68)))),X_50)) )],[refute_0_563,refute_0_606]) ).
cnf(refute_0_608,plain,
divide(X_95,multiply(inverse(X_10),divide(X_95,X_94))) = divide(X_94,inverse(X_10)),
inference(subst,[],[refute_0_607:[bind(X_50,$fot(inverse(X_10))),bind(X_68,$fot(X_94)),bind(X_69,$fot(X_95))]]) ).
cnf(refute_0_609,plain,
multiply(inverse(X_10),divide(X_95,X_94)) = divide(divide(X_95,X_94),X_10),
inference(subst,[],[refute_0_252:[bind(X_28,$fot(divide(X_95,X_94)))]]) ).
cnf(refute_0_610,plain,
( multiply(inverse(X_10),divide(X_95,X_94)) != divide(divide(X_95,X_94),X_10)
| divide(X_95,multiply(inverse(X_10),divide(X_95,X_94))) != divide(X_94,inverse(X_10))
| divide(X_95,divide(divide(X_95,X_94),X_10)) = divide(X_94,inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_95,multiply(inverse(X_10),divide(X_95,X_94))),divide(X_94,inverse(X_10))) ),[0,1],$fot(divide(divide(X_95,X_94),X_10))]]) ).
cnf(refute_0_611,plain,
( divide(X_95,multiply(inverse(X_10),divide(X_95,X_94))) != divide(X_94,inverse(X_10))
| divide(X_95,divide(divide(X_95,X_94),X_10)) = divide(X_94,inverse(X_10)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),divide(X_95,X_94)),divide(divide(X_95,X_94),X_10)) )],[refute_0_609,refute_0_610]) ).
cnf(refute_0_612,plain,
divide(X_95,divide(divide(X_95,X_94),X_10)) = divide(X_94,inverse(X_10)),
inference(resolve,[$cnf( $equal(divide(X_95,multiply(inverse(X_10),divide(X_95,X_94))),divide(X_94,inverse(X_10))) )],[refute_0_608,refute_0_611]) ).
cnf(refute_0_613,plain,
divide(X_10,divide(X_95,X_94)) = multiply(X_10,divide(X_94,X_95)),
inference(subst,[],[refute_0_239:[bind(X,$fot(X_10)),bind(X_56,$fot(X_94)),bind(X_57,$fot(X_95))]]) ).
cnf(refute_0_614,plain,
multiply(X_95,divide(X_10,divide(X_95,X_94))) = multiply(X_95,divide(X_10,divide(X_95,X_94))),
introduced(tautology,[refl,[$fot(multiply(X_95,divide(X_10,divide(X_95,X_94))))]]) ).
cnf(refute_0_615,plain,
( multiply(X_95,divide(X_10,divide(X_95,X_94))) != multiply(X_95,divide(X_10,divide(X_95,X_94)))
| divide(X_10,divide(X_95,X_94)) != multiply(X_10,divide(X_94,X_95))
| multiply(X_95,divide(X_10,divide(X_95,X_94))) = multiply(X_95,multiply(X_10,divide(X_94,X_95))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_95,divide(X_10,divide(X_95,X_94))),multiply(X_95,divide(X_10,divide(X_95,X_94)))) ),[1,1],$fot(multiply(X_10,divide(X_94,X_95)))]]) ).
cnf(refute_0_616,plain,
( divide(X_10,divide(X_95,X_94)) != multiply(X_10,divide(X_94,X_95))
| multiply(X_95,divide(X_10,divide(X_95,X_94))) = multiply(X_95,multiply(X_10,divide(X_94,X_95))) ),
inference(resolve,[$cnf( $equal(multiply(X_95,divide(X_10,divide(X_95,X_94))),multiply(X_95,divide(X_10,divide(X_95,X_94)))) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
multiply(X_95,divide(X_10,divide(X_95,X_94))) = multiply(X_95,multiply(X_10,divide(X_94,X_95))),
inference(resolve,[$cnf( $equal(divide(X_10,divide(X_95,X_94)),multiply(X_10,divide(X_94,X_95))) )],[refute_0_613,refute_0_616]) ).
cnf(refute_0_618,plain,
divide(X_95,divide(divide(X_95,X_94),X_10)) = multiply(X_95,divide(X_10,divide(X_95,X_94))),
inference(subst,[],[refute_0_239:[bind(X,$fot(X_95)),bind(X_56,$fot(X_10)),bind(X_57,$fot(divide(X_95,X_94)))]]) ).
cnf(refute_0_619,plain,
( multiply(X_95,divide(X_10,divide(X_95,X_94))) != multiply(X_95,multiply(X_10,divide(X_94,X_95)))
| divide(X_95,divide(divide(X_95,X_94),X_10)) != multiply(X_95,divide(X_10,divide(X_95,X_94)))
| divide(X_95,divide(divide(X_95,X_94),X_10)) = multiply(X_95,multiply(X_10,divide(X_94,X_95))) ),
inference(subst,[],[refute_0_100:[bind(X0,$fot(divide(X_95,divide(divide(X_95,X_94),X_10)))),bind(Y0,$fot(multiply(X_95,divide(X_10,divide(X_95,X_94))))),bind(Z0,$fot(multiply(X_95,multiply(X_10,divide(X_94,X_95)))))]]) ).
cnf(refute_0_620,plain,
( multiply(X_95,divide(X_10,divide(X_95,X_94))) != multiply(X_95,multiply(X_10,divide(X_94,X_95)))
| divide(X_95,divide(divide(X_95,X_94),X_10)) = multiply(X_95,multiply(X_10,divide(X_94,X_95))) ),
inference(resolve,[$cnf( $equal(divide(X_95,divide(divide(X_95,X_94),X_10)),multiply(X_95,divide(X_10,divide(X_95,X_94)))) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
divide(X_95,divide(divide(X_95,X_94),X_10)) = multiply(X_95,multiply(X_10,divide(X_94,X_95))),
inference(resolve,[$cnf( $equal(multiply(X_95,divide(X_10,divide(X_95,X_94))),multiply(X_95,multiply(X_10,divide(X_94,X_95)))) )],[refute_0_617,refute_0_620]) ).
cnf(refute_0_622,plain,
( divide(X_95,divide(divide(X_95,X_94),X_10)) != multiply(X_95,multiply(X_10,divide(X_94,X_95)))
| divide(X_95,divide(divide(X_95,X_94),X_10)) != divide(X_94,inverse(X_10))
| multiply(X_95,multiply(X_10,divide(X_94,X_95))) = divide(X_94,inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_95,divide(divide(X_95,X_94),X_10)),divide(X_94,inverse(X_10))) ),[0],$fot(multiply(X_95,multiply(X_10,divide(X_94,X_95))))]]) ).
cnf(refute_0_623,plain,
( divide(X_95,divide(divide(X_95,X_94),X_10)) != divide(X_94,inverse(X_10))
| multiply(X_95,multiply(X_10,divide(X_94,X_95))) = divide(X_94,inverse(X_10)) ),
inference(resolve,[$cnf( $equal(divide(X_95,divide(divide(X_95,X_94),X_10)),multiply(X_95,multiply(X_10,divide(X_94,X_95)))) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
divide(X_94,inverse(X_10)) = multiply(X_94,X_10),
inference(subst,[],[refute_0_53:[bind(X,$fot(X_94)),bind(Y,$fot(X_10))]]) ).
cnf(refute_0_625,plain,
( multiply(X_95,multiply(X_10,divide(X_94,X_95))) != divide(X_94,inverse(X_10))
| divide(X_94,inverse(X_10)) != multiply(X_94,X_10)
| multiply(X_95,multiply(X_10,divide(X_94,X_95))) = multiply(X_94,X_10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_95,multiply(X_10,divide(X_94,X_95))),multiply(X_94,X_10)) ),[0],$fot(divide(X_94,inverse(X_10)))]]) ).
cnf(refute_0_626,plain,
( multiply(X_95,multiply(X_10,divide(X_94,X_95))) != divide(X_94,inverse(X_10))
| multiply(X_95,multiply(X_10,divide(X_94,X_95))) = multiply(X_94,X_10) ),
inference(resolve,[$cnf( $equal(divide(X_94,inverse(X_10)),multiply(X_94,X_10)) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
( divide(X_95,divide(divide(X_95,X_94),X_10)) != divide(X_94,inverse(X_10))
| multiply(X_95,multiply(X_10,divide(X_94,X_95))) = multiply(X_94,X_10) ),
inference(resolve,[$cnf( $equal(multiply(X_95,multiply(X_10,divide(X_94,X_95))),divide(X_94,inverse(X_10))) )],[refute_0_623,refute_0_626]) ).
cnf(refute_0_628,plain,
multiply(X_95,multiply(X_10,divide(X_94,X_95))) = multiply(X_94,X_10),
inference(resolve,[$cnf( $equal(divide(X_95,divide(divide(X_95,X_94),X_10)),divide(X_94,inverse(X_10))) )],[refute_0_612,refute_0_627]) ).
cnf(refute_0_629,plain,
multiply(X_95,multiply(multiply(X_95,X_113),divide(X_94,X_95))) = multiply(X_94,multiply(X_95,X_113)),
inference(subst,[],[refute_0_628:[bind(X_10,$fot(multiply(X_95,X_113)))]]) ).
cnf(refute_0_630,plain,
multiply(multiply(X_43,X_107),multiply(X_106,divide(X_107,multiply(X_43,X_107)))) = multiply(X_107,X_106),
inference(subst,[],[refute_0_628:[bind(X_10,$fot(X_106)),bind(X_94,$fot(X_107)),bind(X_95,$fot(multiply(X_43,X_107)))]]) ).
cnf(refute_0_631,plain,
divide(X_107,multiply(X_43,X_107)) = inverse(X_43),
inference(subst,[],[refute_0_284:[bind(X_5,$fot(X_107))]]) ).
cnf(refute_0_632,plain,
( multiply(multiply(X_43,X_107),multiply(X_106,divide(X_107,multiply(X_43,X_107)))) != multiply(X_107,X_106)
| divide(X_107,multiply(X_43,X_107)) != inverse(X_43)
| multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43))) = multiply(X_107,X_106) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_43,X_107),multiply(X_106,divide(X_107,multiply(X_43,X_107)))),multiply(X_107,X_106)) ),[0,1,1],$fot(inverse(X_43))]]) ).
cnf(refute_0_633,plain,
( multiply(multiply(X_43,X_107),multiply(X_106,divide(X_107,multiply(X_43,X_107)))) != multiply(X_107,X_106)
| multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43))) = multiply(X_107,X_106) ),
inference(resolve,[$cnf( $equal(divide(X_107,multiply(X_43,X_107)),inverse(X_43)) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43))) = multiply(X_107,X_106),
inference(resolve,[$cnf( $equal(multiply(multiply(X_43,X_107),multiply(X_106,divide(X_107,multiply(X_43,X_107)))),multiply(X_107,X_106)) )],[refute_0_630,refute_0_633]) ).
cnf(refute_0_635,plain,
multiply(X_106,inverse(X_43)) = divide(X_106,X_43),
inference(subst,[],[refute_0_118:[bind(X,$fot(X_106)),bind(X_24,$fot(X_43))]]) ).
cnf(refute_0_636,plain,
multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43))) = multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43))))]]) ).
cnf(refute_0_637,plain,
( multiply(X_106,inverse(X_43)) != divide(X_106,X_43)
| multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43))) != multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43)))
| multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43))) = multiply(multiply(X_43,X_107),divide(X_106,X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43))),multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43)))) ),[1,1],$fot(divide(X_106,X_43))]]) ).
cnf(refute_0_638,plain,
( multiply(X_106,inverse(X_43)) != divide(X_106,X_43)
| multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43))) = multiply(multiply(X_43,X_107),divide(X_106,X_43)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43))),multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43)))) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43))) = multiply(multiply(X_43,X_107),divide(X_106,X_43)),
inference(resolve,[$cnf( $equal(multiply(X_106,inverse(X_43)),divide(X_106,X_43)) )],[refute_0_635,refute_0_638]) ).
cnf(refute_0_640,plain,
( multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43))) != multiply(X_107,X_106)
| multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43))) != multiply(multiply(X_43,X_107),divide(X_106,X_43))
| multiply(multiply(X_43,X_107),divide(X_106,X_43)) = multiply(X_107,X_106) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43))),multiply(X_107,X_106)) ),[0],$fot(multiply(multiply(X_43,X_107),divide(X_106,X_43)))]]) ).
cnf(refute_0_641,plain,
( multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43))) != multiply(X_107,X_106)
| multiply(multiply(X_43,X_107),divide(X_106,X_43)) = multiply(X_107,X_106) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43))),multiply(multiply(X_43,X_107),divide(X_106,X_43))) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
multiply(multiply(X_43,X_107),divide(X_106,X_43)) = multiply(X_107,X_106),
inference(resolve,[$cnf( $equal(multiply(multiply(X_43,X_107),multiply(X_106,inverse(X_43))),multiply(X_107,X_106)) )],[refute_0_634,refute_0_641]) ).
cnf(refute_0_643,plain,
multiply(multiply(X_95,X_113),divide(X_94,X_95)) = multiply(X_113,X_94),
inference(subst,[],[refute_0_642:[bind(X_106,$fot(X_94)),bind(X_107,$fot(X_113)),bind(X_43,$fot(X_95))]]) ).
cnf(refute_0_644,plain,
( multiply(X_95,multiply(multiply(X_95,X_113),divide(X_94,X_95))) != multiply(X_94,multiply(X_95,X_113))
| multiply(multiply(X_95,X_113),divide(X_94,X_95)) != multiply(X_113,X_94)
| multiply(X_95,multiply(X_113,X_94)) = multiply(X_94,multiply(X_95,X_113)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_95,multiply(multiply(X_95,X_113),divide(X_94,X_95))),multiply(X_94,multiply(X_95,X_113))) ),[0,1],$fot(multiply(X_113,X_94))]]) ).
cnf(refute_0_645,plain,
( multiply(X_95,multiply(multiply(X_95,X_113),divide(X_94,X_95))) != multiply(X_94,multiply(X_95,X_113))
| multiply(X_95,multiply(X_113,X_94)) = multiply(X_94,multiply(X_95,X_113)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_95,X_113),divide(X_94,X_95)),multiply(X_113,X_94)) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
multiply(X_95,multiply(X_113,X_94)) = multiply(X_94,multiply(X_95,X_113)),
inference(resolve,[$cnf( $equal(multiply(X_95,multiply(multiply(X_95,X_113),divide(X_94,X_95))),multiply(X_94,multiply(X_95,X_113))) )],[refute_0_629,refute_0_645]) ).
cnf(refute_0_647,plain,
( multiply(X_95,multiply(X_113,X_94)) != multiply(X_94,multiply(X_95,X_113))
| multiply(X_94,multiply(X_95,X_113)) = multiply(X_95,multiply(X_113,X_94)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_95,multiply(X_113,X_94)))),bind(Y0,$fot(multiply(X_94,multiply(X_95,X_113))))]]) ).
cnf(refute_0_648,plain,
multiply(X_94,multiply(X_95,X_113)) = multiply(X_95,multiply(X_113,X_94)),
inference(resolve,[$cnf( $equal(multiply(X_95,multiply(X_113,X_94)),multiply(X_94,multiply(X_95,X_113))) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_648:[bind(X_113,$fot(b3)),bind(X_94,$fot(c3)),bind(X_95,$fot(a3))]]) ).
cnf(refute_0_650,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_651,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_651,refute_0_562]) ).
cnf(refute_0_653,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_654,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_653,refute_0_652]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP089-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.13/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 17:50:44 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.49/0.71 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.71
% 0.49/0.71 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.60/0.79
%------------------------------------------------------------------------------