TSTP Solution File: GRP090-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP090-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.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 0.66s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 76
% Number of leaves : 116
% Syntax : Number of clauses : 517 ( 271 unt; 0 nHn; 252 RR)
% Number of literals : 882 ( 881 equ; 373 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 : 1133 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(X,divide(Y,Z)),divide(X,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( $equal(multiply(X,Y),divide(X,divide(divide(Z,Z),Y))) )],[multiply,refute_0_11]) ).
cnf(refute_0_13,plain,
multiply(X,inverse(X_23)) = divide(X,inverse(inverse(X_23))),
inference(subst,[],[refute_0_12:[bind(Y,$fot(inverse(X_23)))]]) ).
cnf(refute_0_14,plain,
inverse(divide(divide(X_5,X_6),X_5)) = divide(divide(divide(X_5,X_6),divide(X_5,X_6)),divide(divide(X_5,X_6),X_5)),
inference(subst,[],[inverse:[bind(X,$fot(divide(divide(X_5,X_6),X_5))),bind(Z,$fot(divide(X_5,X_6)))]]) ).
cnf(refute_0_15,plain,
divide(divide(divide(X_5,X_6),divide(X_5,X_6)),divide(divide(X_5,X_6),X_5)) = X_6,
inference(subst,[],[single_axiom:[bind(X,$fot(divide(X_5,X_6))),bind(Y,$fot(X_5)),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_16,plain,
( divide(divide(divide(X_5,X_6),divide(X_5,X_6)),divide(divide(X_5,X_6),X_5)) != X_6
| inverse(divide(divide(X_5,X_6),X_5)) != divide(divide(divide(X_5,X_6),divide(X_5,X_6)),divide(divide(X_5,X_6),X_5))
| inverse(divide(divide(X_5,X_6),X_5)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_5,X_6),X_5)),divide(divide(divide(X_5,X_6),divide(X_5,X_6)),divide(divide(X_5,X_6),X_5))) ),[1],$fot(X_6)]]) ).
cnf(refute_0_17,plain,
( inverse(divide(divide(X_5,X_6),X_5)) != divide(divide(divide(X_5,X_6),divide(X_5,X_6)),divide(divide(X_5,X_6),X_5))
| inverse(divide(divide(X_5,X_6),X_5)) = X_6 ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_5,X_6),divide(X_5,X_6)),divide(divide(X_5,X_6),X_5)),X_6) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
inverse(divide(divide(X_5,X_6),X_5)) = X_6,
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_5,X_6),X_5)),divide(divide(divide(X_5,X_6),divide(X_5,X_6)),divide(divide(X_5,X_6),X_5))) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
inverse(divide(divide(X_22,X_22),X_22)) = X_22,
inference(subst,[],[refute_0_18:[bind(X_5,$fot(X_22)),bind(X_6,$fot(X_22))]]) ).
cnf(refute_0_20,plain,
inverse(X_22) = divide(divide(X_22,X_22),X_22),
inference(subst,[],[inverse:[bind(X,$fot(X_22)),bind(Z,$fot(X_22))]]) ).
cnf(refute_0_21,plain,
( inverse(X_22) != divide(divide(X_22,X_22),X_22)
| divide(divide(X_22,X_22),X_22) = inverse(X_22) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_22))),bind(Y0,$fot(divide(divide(X_22,X_22),X_22)))]]) ).
cnf(refute_0_22,plain,
divide(divide(X_22,X_22),X_22) = inverse(X_22),
inference(resolve,[$cnf( $equal(inverse(X_22),divide(divide(X_22,X_22),X_22)) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( divide(divide(X_22,X_22),X_22) != inverse(X_22)
| inverse(divide(divide(X_22,X_22),X_22)) != X_22
| inverse(inverse(X_22)) = X_22 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_22,X_22),X_22)),X_22) ),[0,0],$fot(inverse(X_22))]]) ).
cnf(refute_0_24,plain,
( inverse(divide(divide(X_22,X_22),X_22)) != X_22
| inverse(inverse(X_22)) = X_22 ),
inference(resolve,[$cnf( $equal(divide(divide(X_22,X_22),X_22),inverse(X_22)) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
inverse(inverse(X_22)) = X_22,
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_22,X_22),X_22)),X_22) )],[refute_0_19,refute_0_24]) ).
cnf(refute_0_26,plain,
inverse(inverse(X_23)) = X_23,
inference(subst,[],[refute_0_25:[bind(X_22,$fot(X_23))]]) ).
cnf(refute_0_27,plain,
( multiply(X,inverse(X_23)) != divide(X,inverse(inverse(X_23)))
| inverse(inverse(X_23)) != X_23
| multiply(X,inverse(X_23)) = divide(X,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(X_23)),divide(X,inverse(inverse(X_23)))) ),[1,1],$fot(X_23)]]) ).
cnf(refute_0_28,plain,
( multiply(X,inverse(X_23)) != divide(X,inverse(inverse(X_23)))
| multiply(X,inverse(X_23)) = divide(X,X_23) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_23)),X_23) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
multiply(X,inverse(X_23)) = divide(X,X_23),
inference(resolve,[$cnf( $equal(multiply(X,inverse(X_23)),divide(X,inverse(inverse(X_23)))) )],[refute_0_13,refute_0_28]) ).
cnf(refute_0_30,plain,
multiply(a1,inverse(a1)) = divide(a1,a1),
inference(subst,[],[refute_0_29:[bind(X,$fot(a1)),bind(X_23,$fot(a1))]]) ).
cnf(refute_0_31,plain,
divide(divide(X,divide(Y,multiply(X_26,Y))),divide(X,Y)) = multiply(X_26,Y),
inference(subst,[],[single_axiom:[bind(Z,$fot(multiply(X_26,Y)))]]) ).
cnf(refute_0_32,plain,
divide(divide(divide(Z,Z),divide(X_5,X_6)),divide(divide(Z,Z),X_5)) = X_6,
inference(subst,[],[single_axiom:[bind(X,$fot(divide(Z,Z))),bind(Y,$fot(X_5)),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_33,plain,
inverse(X_5) = divide(divide(Z,Z),X_5),
inference(subst,[],[inverse:[bind(X,$fot(X_5))]]) ).
cnf(refute_0_34,plain,
( inverse(X_5) != divide(divide(Z,Z),X_5)
| divide(divide(Z,Z),X_5) = inverse(X_5) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_5))),bind(Y0,$fot(divide(divide(Z,Z),X_5)))]]) ).
cnf(refute_0_35,plain,
divide(divide(Z,Z),X_5) = inverse(X_5),
inference(resolve,[$cnf( $equal(inverse(X_5),divide(divide(Z,Z),X_5)) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
( divide(divide(Z,Z),X_5) != inverse(X_5)
| divide(divide(divide(Z,Z),divide(X_5,X_6)),divide(divide(Z,Z),X_5)) != X_6
| divide(divide(divide(Z,Z),divide(X_5,X_6)),inverse(X_5)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(Z,Z),divide(X_5,X_6)),divide(divide(Z,Z),X_5)),X_6) ),[0,1],$fot(inverse(X_5))]]) ).
cnf(refute_0_37,plain,
( divide(divide(divide(Z,Z),divide(X_5,X_6)),divide(divide(Z,Z),X_5)) != X_6
| divide(divide(divide(Z,Z),divide(X_5,X_6)),inverse(X_5)) = X_6 ),
inference(resolve,[$cnf( $equal(divide(divide(Z,Z),X_5),inverse(X_5)) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
divide(divide(divide(Z,Z),divide(X_5,X_6)),inverse(X_5)) = X_6,
inference(resolve,[$cnf( $equal(divide(divide(divide(Z,Z),divide(X_5,X_6)),divide(divide(Z,Z),X_5)),X_6) )],[refute_0_32,refute_0_37]) ).
cnf(refute_0_39,plain,
divide(divide(Z,Z),divide(X_5,X_6)) = inverse(divide(X_5,X_6)),
inference(subst,[],[refute_0_4:[bind(X,$fot(divide(X_5,X_6)))]]) ).
cnf(refute_0_40,plain,
multiply(divide(divide(Z,Z),divide(X_5,X_6)),X_5) = multiply(divide(divide(Z,Z),divide(X_5,X_6)),X_5),
introduced(tautology,[refl,[$fot(multiply(divide(divide(Z,Z),divide(X_5,X_6)),X_5))]]) ).
cnf(refute_0_41,plain,
( multiply(divide(divide(Z,Z),divide(X_5,X_6)),X_5) != multiply(divide(divide(Z,Z),divide(X_5,X_6)),X_5)
| divide(divide(Z,Z),divide(X_5,X_6)) != inverse(divide(X_5,X_6))
| multiply(divide(divide(Z,Z),divide(X_5,X_6)),X_5) = multiply(inverse(divide(X_5,X_6)),X_5) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(divide(Z,Z),divide(X_5,X_6)),X_5),multiply(divide(divide(Z,Z),divide(X_5,X_6)),X_5)) ),[1,0],$fot(inverse(divide(X_5,X_6)))]]) ).
cnf(refute_0_42,plain,
( divide(divide(Z,Z),divide(X_5,X_6)) != inverse(divide(X_5,X_6))
| multiply(divide(divide(Z,Z),divide(X_5,X_6)),X_5) = multiply(inverse(divide(X_5,X_6)),X_5) ),
inference(resolve,[$cnf( $equal(multiply(divide(divide(Z,Z),divide(X_5,X_6)),X_5),multiply(divide(divide(Z,Z),divide(X_5,X_6)),X_5)) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
multiply(divide(divide(Z,Z),divide(X_5,X_6)),X_5) = multiply(inverse(divide(X_5,X_6)),X_5),
inference(resolve,[$cnf( $equal(divide(divide(Z,Z),divide(X_5,X_6)),inverse(divide(X_5,X_6))) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
( multiply(X,Y) != divide(X,inverse(Y))
| divide(X,inverse(Y)) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(divide(X,inverse(Y))))]]) ).
cnf(refute_0_45,plain,
divide(X,inverse(Y)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,inverse(Y))) )],[refute_0_12,refute_0_44]) ).
cnf(refute_0_46,plain,
divide(divide(divide(Z,Z),divide(X_5,X_6)),inverse(X_5)) = multiply(divide(divide(Z,Z),divide(X_5,X_6)),X_5),
inference(subst,[],[refute_0_45:[bind(X,$fot(divide(divide(Z,Z),divide(X_5,X_6)))),bind(Y,$fot(X_5))]]) ).
cnf(refute_0_47,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_48,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_47]) ).
cnf(refute_0_49,plain,
( multiply(divide(divide(Z,Z),divide(X_5,X_6)),X_5) != multiply(inverse(divide(X_5,X_6)),X_5)
| divide(divide(divide(Z,Z),divide(X_5,X_6)),inverse(X_5)) != multiply(divide(divide(Z,Z),divide(X_5,X_6)),X_5)
| divide(divide(divide(Z,Z),divide(X_5,X_6)),inverse(X_5)) = multiply(inverse(divide(X_5,X_6)),X_5) ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(divide(divide(divide(Z,Z),divide(X_5,X_6)),inverse(X_5)))),bind(Y0,$fot(multiply(divide(divide(Z,Z),divide(X_5,X_6)),X_5))),bind(Z0,$fot(multiply(inverse(divide(X_5,X_6)),X_5)))]]) ).
cnf(refute_0_50,plain,
( multiply(divide(divide(Z,Z),divide(X_5,X_6)),X_5) != multiply(inverse(divide(X_5,X_6)),X_5)
| divide(divide(divide(Z,Z),divide(X_5,X_6)),inverse(X_5)) = multiply(inverse(divide(X_5,X_6)),X_5) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(Z,Z),divide(X_5,X_6)),inverse(X_5)),multiply(divide(divide(Z,Z),divide(X_5,X_6)),X_5)) )],[refute_0_46,refute_0_49]) ).
cnf(refute_0_51,plain,
divide(divide(divide(Z,Z),divide(X_5,X_6)),inverse(X_5)) = multiply(inverse(divide(X_5,X_6)),X_5),
inference(resolve,[$cnf( $equal(multiply(divide(divide(Z,Z),divide(X_5,X_6)),X_5),multiply(inverse(divide(X_5,X_6)),X_5)) )],[refute_0_43,refute_0_50]) ).
cnf(refute_0_52,plain,
( divide(divide(divide(Z,Z),divide(X_5,X_6)),inverse(X_5)) != X_6
| divide(divide(divide(Z,Z),divide(X_5,X_6)),inverse(X_5)) != multiply(inverse(divide(X_5,X_6)),X_5)
| multiply(inverse(divide(X_5,X_6)),X_5) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(Z,Z),divide(X_5,X_6)),inverse(X_5)),X_6) ),[0],$fot(multiply(inverse(divide(X_5,X_6)),X_5))]]) ).
cnf(refute_0_53,plain,
( divide(divide(divide(Z,Z),divide(X_5,X_6)),inverse(X_5)) != X_6
| multiply(inverse(divide(X_5,X_6)),X_5) = X_6 ),
inference(resolve,[$cnf( $equal(divide(divide(divide(Z,Z),divide(X_5,X_6)),inverse(X_5)),multiply(inverse(divide(X_5,X_6)),X_5)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
multiply(inverse(divide(X_5,X_6)),X_5) = X_6,
inference(resolve,[$cnf( $equal(divide(divide(divide(Z,Z),divide(X_5,X_6)),inverse(X_5)),X_6) )],[refute_0_38,refute_0_53]) ).
cnf(refute_0_55,plain,
multiply(inverse(divide(X_9,inverse(Y))),X_9) = inverse(Y),
inference(subst,[],[refute_0_54:[bind(X_5,$fot(X_9)),bind(X_6,$fot(inverse(Y)))]]) ).
cnf(refute_0_56,plain,
multiply(X_9,Y) = divide(X_9,inverse(Y)),
inference(subst,[],[refute_0_12:[bind(X,$fot(X_9))]]) ).
cnf(refute_0_57,plain,
( multiply(X_9,Y) != divide(X_9,inverse(Y))
| divide(X_9,inverse(Y)) = multiply(X_9,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_9,Y))),bind(Y0,$fot(divide(X_9,inverse(Y))))]]) ).
cnf(refute_0_58,plain,
divide(X_9,inverse(Y)) = multiply(X_9,Y),
inference(resolve,[$cnf( $equal(multiply(X_9,Y),divide(X_9,inverse(Y))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
( multiply(inverse(divide(X_9,inverse(Y))),X_9) != inverse(Y)
| divide(X_9,inverse(Y)) != multiply(X_9,Y)
| multiply(inverse(multiply(X_9,Y)),X_9) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_9,inverse(Y))),X_9),inverse(Y)) ),[0,0,0],$fot(multiply(X_9,Y))]]) ).
cnf(refute_0_60,plain,
( multiply(inverse(divide(X_9,inverse(Y))),X_9) != inverse(Y)
| multiply(inverse(multiply(X_9,Y)),X_9) = inverse(Y) ),
inference(resolve,[$cnf( $equal(divide(X_9,inverse(Y)),multiply(X_9,Y)) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
multiply(inverse(multiply(X_9,Y)),X_9) = inverse(Y),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_9,inverse(Y))),X_9),inverse(Y)) )],[refute_0_55,refute_0_60]) ).
cnf(refute_0_62,plain,
multiply(inverse(multiply(inverse(multiply(Y,X_24)),Y)),inverse(multiply(Y,X_24))) = inverse(Y),
inference(subst,[],[refute_0_61:[bind(X_9,$fot(inverse(multiply(Y,X_24))))]]) ).
cnf(refute_0_63,plain,
multiply(inverse(multiply(Y,X_24)),Y) = inverse(X_24),
inference(subst,[],[refute_0_61:[bind(Y,$fot(X_24)),bind(X_9,$fot(Y))]]) ).
cnf(refute_0_64,plain,
( multiply(inverse(multiply(Y,X_24)),Y) != inverse(X_24)
| multiply(inverse(multiply(inverse(multiply(Y,X_24)),Y)),inverse(multiply(Y,X_24))) != inverse(Y)
| multiply(inverse(inverse(X_24)),inverse(multiply(Y,X_24))) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(Y,X_24)),Y)),inverse(multiply(Y,X_24))),inverse(Y)) ),[0,0,0],$fot(inverse(X_24))]]) ).
cnf(refute_0_65,plain,
( multiply(inverse(multiply(inverse(multiply(Y,X_24)),Y)),inverse(multiply(Y,X_24))) != inverse(Y)
| multiply(inverse(inverse(X_24)),inverse(multiply(Y,X_24))) = inverse(Y) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(Y,X_24)),Y),inverse(X_24)) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
multiply(inverse(inverse(X_24)),inverse(multiply(Y,X_24))) = inverse(Y),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(Y,X_24)),Y)),inverse(multiply(Y,X_24))),inverse(Y)) )],[refute_0_62,refute_0_65]) ).
cnf(refute_0_67,plain,
inverse(inverse(X_24)) = X_24,
inference(subst,[],[refute_0_25:[bind(X_22,$fot(X_24))]]) ).
cnf(refute_0_68,plain,
divide(inverse(inverse(X_24)),multiply(Y,X_24)) = divide(inverse(inverse(X_24)),multiply(Y,X_24)),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(X_24)),multiply(Y,X_24)))]]) ).
cnf(refute_0_69,plain,
( divide(inverse(inverse(X_24)),multiply(Y,X_24)) != divide(inverse(inverse(X_24)),multiply(Y,X_24))
| inverse(inverse(X_24)) != X_24
| divide(inverse(inverse(X_24)),multiply(Y,X_24)) = divide(X_24,multiply(Y,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_24)),multiply(Y,X_24)),divide(inverse(inverse(X_24)),multiply(Y,X_24))) ),[1,0],$fot(X_24)]]) ).
cnf(refute_0_70,plain,
( inverse(inverse(X_24)) != X_24
| divide(inverse(inverse(X_24)),multiply(Y,X_24)) = divide(X_24,multiply(Y,X_24)) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_24)),multiply(Y,X_24)),divide(inverse(inverse(X_24)),multiply(Y,X_24))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
divide(inverse(inverse(X_24)),multiply(Y,X_24)) = divide(X_24,multiply(Y,X_24)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_24)),X_24) )],[refute_0_67,refute_0_70]) ).
cnf(refute_0_72,plain,
multiply(inverse(inverse(X_24)),inverse(multiply(Y,X_24))) = divide(inverse(inverse(X_24)),multiply(Y,X_24)),
inference(subst,[],[refute_0_29:[bind(X,$fot(inverse(inverse(X_24)))),bind(X_23,$fot(multiply(Y,X_24)))]]) ).
cnf(refute_0_73,plain,
( multiply(inverse(inverse(X_24)),inverse(multiply(Y,X_24))) != divide(inverse(inverse(X_24)),multiply(Y,X_24))
| divide(inverse(inverse(X_24)),multiply(Y,X_24)) != divide(X_24,multiply(Y,X_24))
| multiply(inverse(inverse(X_24)),inverse(multiply(Y,X_24))) = divide(X_24,multiply(Y,X_24)) ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(multiply(inverse(inverse(X_24)),inverse(multiply(Y,X_24))))),bind(Y0,$fot(divide(inverse(inverse(X_24)),multiply(Y,X_24)))),bind(Z0,$fot(divide(X_24,multiply(Y,X_24))))]]) ).
cnf(refute_0_74,plain,
( divide(inverse(inverse(X_24)),multiply(Y,X_24)) != divide(X_24,multiply(Y,X_24))
| multiply(inverse(inverse(X_24)),inverse(multiply(Y,X_24))) = divide(X_24,multiply(Y,X_24)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_24)),inverse(multiply(Y,X_24))),divide(inverse(inverse(X_24)),multiply(Y,X_24))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
multiply(inverse(inverse(X_24)),inverse(multiply(Y,X_24))) = divide(X_24,multiply(Y,X_24)),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_24)),multiply(Y,X_24)),divide(X_24,multiply(Y,X_24))) )],[refute_0_71,refute_0_74]) ).
cnf(refute_0_76,plain,
( multiply(inverse(inverse(X_24)),inverse(multiply(Y,X_24))) != divide(X_24,multiply(Y,X_24))
| multiply(inverse(inverse(X_24)),inverse(multiply(Y,X_24))) != inverse(Y)
| divide(X_24,multiply(Y,X_24)) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_24)),inverse(multiply(Y,X_24))),inverse(Y)) ),[0],$fot(divide(X_24,multiply(Y,X_24)))]]) ).
cnf(refute_0_77,plain,
( multiply(inverse(inverse(X_24)),inverse(multiply(Y,X_24))) != inverse(Y)
| divide(X_24,multiply(Y,X_24)) = inverse(Y) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_24)),inverse(multiply(Y,X_24))),divide(X_24,multiply(Y,X_24))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
divide(X_24,multiply(Y,X_24)) = inverse(Y),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_24)),inverse(multiply(Y,X_24))),inverse(Y)) )],[refute_0_66,refute_0_77]) ).
cnf(refute_0_79,plain,
divide(Y,multiply(X_26,Y)) = inverse(X_26),
inference(subst,[],[refute_0_78:[bind(Y,$fot(X_26)),bind(X_24,$fot(Y))]]) ).
cnf(refute_0_80,plain,
( divide(Y,multiply(X_26,Y)) != inverse(X_26)
| divide(divide(X,divide(Y,multiply(X_26,Y))),divide(X,Y)) != multiply(X_26,Y)
| divide(divide(X,inverse(X_26)),divide(X,Y)) = multiply(X_26,Y) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,divide(Y,multiply(X_26,Y))),divide(X,Y)),multiply(X_26,Y)) ),[0,0,1],$fot(inverse(X_26))]]) ).
cnf(refute_0_81,plain,
( divide(divide(X,divide(Y,multiply(X_26,Y))),divide(X,Y)) != multiply(X_26,Y)
| divide(divide(X,inverse(X_26)),divide(X,Y)) = multiply(X_26,Y) ),
inference(resolve,[$cnf( $equal(divide(Y,multiply(X_26,Y)),inverse(X_26)) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
divide(divide(X,inverse(X_26)),divide(X,Y)) = multiply(X_26,Y),
inference(resolve,[$cnf( $equal(divide(divide(X,divide(Y,multiply(X_26,Y))),divide(X,Y)),multiply(X_26,Y)) )],[refute_0_31,refute_0_81]) ).
cnf(refute_0_83,plain,
divide(X,inverse(X_26)) = multiply(X,X_26),
inference(subst,[],[refute_0_45:[bind(Y,$fot(X_26))]]) ).
cnf(refute_0_84,plain,
divide(divide(X,inverse(X_26)),divide(X,Y)) = divide(divide(X,inverse(X_26)),divide(X,Y)),
introduced(tautology,[refl,[$fot(divide(divide(X,inverse(X_26)),divide(X,Y)))]]) ).
cnf(refute_0_85,plain,
( divide(X,inverse(X_26)) != multiply(X,X_26)
| divide(divide(X,inverse(X_26)),divide(X,Y)) != divide(divide(X,inverse(X_26)),divide(X,Y))
| divide(divide(X,inverse(X_26)),divide(X,Y)) = divide(multiply(X,X_26),divide(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,inverse(X_26)),divide(X,Y)),divide(divide(X,inverse(X_26)),divide(X,Y))) ),[1,0],$fot(multiply(X,X_26))]]) ).
cnf(refute_0_86,plain,
( divide(X,inverse(X_26)) != multiply(X,X_26)
| divide(divide(X,inverse(X_26)),divide(X,Y)) = divide(multiply(X,X_26),divide(X,Y)) ),
inference(resolve,[$cnf( $equal(divide(divide(X,inverse(X_26)),divide(X,Y)),divide(divide(X,inverse(X_26)),divide(X,Y))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
divide(divide(X,inverse(X_26)),divide(X,Y)) = divide(multiply(X,X_26),divide(X,Y)),
inference(resolve,[$cnf( $equal(divide(X,inverse(X_26)),multiply(X,X_26)) )],[refute_0_83,refute_0_86]) ).
cnf(refute_0_88,plain,
( divide(divide(X,inverse(X_26)),divide(X,Y)) != multiply(X_26,Y)
| divide(divide(X,inverse(X_26)),divide(X,Y)) != divide(multiply(X,X_26),divide(X,Y))
| divide(multiply(X,X_26),divide(X,Y)) = multiply(X_26,Y) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,inverse(X_26)),divide(X,Y)),multiply(X_26,Y)) ),[0],$fot(divide(multiply(X,X_26),divide(X,Y)))]]) ).
cnf(refute_0_89,plain,
( divide(divide(X,inverse(X_26)),divide(X,Y)) != multiply(X_26,Y)
| divide(multiply(X,X_26),divide(X,Y)) = multiply(X_26,Y) ),
inference(resolve,[$cnf( $equal(divide(divide(X,inverse(X_26)),divide(X,Y)),divide(multiply(X,X_26),divide(X,Y))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
divide(multiply(X,X_26),divide(X,Y)) = multiply(X_26,Y),
inference(resolve,[$cnf( $equal(divide(divide(X,inverse(X_26)),divide(X,Y)),multiply(X_26,Y)) )],[refute_0_82,refute_0_89]) ).
cnf(refute_0_91,plain,
multiply(X,inverse(divide(X_56,X_55))) = divide(X,divide(X_56,X_55)),
inference(subst,[],[refute_0_29:[bind(X_23,$fot(divide(X_56,X_55)))]]) ).
cnf(refute_0_92,plain,
multiply(inverse(X_54),Y) = divide(inverse(X_54),inverse(Y)),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(X_54)))]]) ).
cnf(refute_0_93,plain,
multiply(inverse(multiply(inverse(divide(X_24,X_6)),X_24)),inverse(divide(X_24,X_6))) = inverse(X_24),
inference(subst,[],[refute_0_61:[bind(Y,$fot(X_24)),bind(X_9,$fot(inverse(divide(X_24,X_6))))]]) ).
cnf(refute_0_94,plain,
multiply(inverse(divide(X_24,X_6)),X_24) = X_6,
inference(subst,[],[refute_0_54:[bind(X_5,$fot(X_24))]]) ).
cnf(refute_0_95,plain,
( multiply(inverse(multiply(inverse(divide(X_24,X_6)),X_24)),inverse(divide(X_24,X_6))) != inverse(X_24)
| multiply(inverse(divide(X_24,X_6)),X_24) != X_6
| multiply(inverse(X_6),inverse(divide(X_24,X_6))) = inverse(X_24) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(divide(X_24,X_6)),X_24)),inverse(divide(X_24,X_6))),inverse(X_24)) ),[0,0,0],$fot(X_6)]]) ).
cnf(refute_0_96,plain,
( multiply(inverse(multiply(inverse(divide(X_24,X_6)),X_24)),inverse(divide(X_24,X_6))) != inverse(X_24)
| multiply(inverse(X_6),inverse(divide(X_24,X_6))) = inverse(X_24) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_24,X_6)),X_24),X_6) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
multiply(inverse(X_6),inverse(divide(X_24,X_6))) = inverse(X_24),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(divide(X_24,X_6)),X_24)),inverse(divide(X_24,X_6))),inverse(X_24)) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
multiply(inverse(X_6),inverse(divide(X_24,X_6))) = divide(inverse(X_6),divide(X_24,X_6)),
inference(subst,[],[refute_0_29:[bind(X,$fot(inverse(X_6))),bind(X_23,$fot(divide(X_24,X_6)))]]) ).
cnf(refute_0_99,plain,
( multiply(inverse(X_6),inverse(divide(X_24,X_6))) != divide(inverse(X_6),divide(X_24,X_6))
| multiply(inverse(X_6),inverse(divide(X_24,X_6))) != inverse(X_24)
| divide(inverse(X_6),divide(X_24,X_6)) = inverse(X_24) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_6),inverse(divide(X_24,X_6))),inverse(X_24)) ),[0],$fot(divide(inverse(X_6),divide(X_24,X_6)))]]) ).
cnf(refute_0_100,plain,
( multiply(inverse(X_6),inverse(divide(X_24,X_6))) != inverse(X_24)
| divide(inverse(X_6),divide(X_24,X_6)) = inverse(X_24) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_6),inverse(divide(X_24,X_6))),divide(inverse(X_6),divide(X_24,X_6))) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
divide(inverse(X_6),divide(X_24,X_6)) = inverse(X_24),
inference(resolve,[$cnf( $equal(multiply(inverse(X_6),inverse(divide(X_24,X_6))),inverse(X_24)) )],[refute_0_97,refute_0_100]) ).
cnf(refute_0_102,plain,
divide(inverse(X_6),divide(multiply(X_6,X_52),X_6)) = inverse(multiply(X_6,X_52)),
inference(subst,[],[refute_0_101:[bind(X_24,$fot(multiply(X_6,X_52)))]]) ).
cnf(refute_0_103,plain,
divide(divide(X_4,divide(inverse(divide(X_1,X_1)),X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = X_6,
inference(subst,[],[single_axiom:[bind(X,$fot(X_4)),bind(Y,$fot(inverse(divide(X_1,X_1)))),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_104,plain,
inverse(X) = divide(divide(divide(X_1,X_1),divide(X_1,X_1)),X),
inference(subst,[],[inverse:[bind(Z,$fot(divide(X_1,X_1)))]]) ).
cnf(refute_0_105,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_106,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_107,plain,
divide(divide(X_1,X_1),divide(X_1,X_1)) = inverse(divide(X_1,X_1)),
inference(resolve,[$cnf( $equal(inverse(divide(X_1,X_1)),divide(divide(X_1,X_1),divide(X_1,X_1))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
( divide(divide(X_1,X_1),divide(X_1,X_1)) != inverse(divide(X_1,X_1))
| inverse(X) != divide(divide(divide(X_1,X_1),divide(X_1,X_1)),X)
| inverse(X) = divide(inverse(divide(X_1,X_1)),X) ),
introduced(tautology,[equality,[$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_109,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( $equal(divide(divide(X_1,X_1),divide(X_1,X_1)),inverse(divide(X_1,X_1))) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
inverse(X) = divide(inverse(divide(X_1,X_1)),X),
inference(resolve,[$cnf( $equal(inverse(X),divide(divide(divide(X_1,X_1),divide(X_1,X_1)),X)) )],[refute_0_104,refute_0_109]) ).
cnf(refute_0_111,plain,
inverse(X_6) = divide(inverse(divide(X_1,X_1)),X_6),
inference(subst,[],[refute_0_110:[bind(X,$fot(X_6))]]) ).
cnf(refute_0_112,plain,
( inverse(X_6) != divide(inverse(divide(X_1,X_1)),X_6)
| divide(inverse(divide(X_1,X_1)),X_6) = inverse(X_6) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_6))),bind(Y0,$fot(divide(inverse(divide(X_1,X_1)),X_6)))]]) ).
cnf(refute_0_113,plain,
divide(inverse(divide(X_1,X_1)),X_6) = inverse(X_6),
inference(resolve,[$cnf( $equal(inverse(X_6),divide(inverse(divide(X_1,X_1)),X_6)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
( divide(divide(X_4,divide(inverse(divide(X_1,X_1)),X_6)),divide(X_4,inverse(divide(X_1,X_1)))) != X_6
| divide(inverse(divide(X_1,X_1)),X_6) != inverse(X_6)
| divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_4,divide(inverse(divide(X_1,X_1)),X_6)),divide(X_4,inverse(divide(X_1,X_1)))),X_6) ),[0,0,1],$fot(inverse(X_6))]]) ).
cnf(refute_0_115,plain,
( divide(divide(X_4,divide(inverse(divide(X_1,X_1)),X_6)),divide(X_4,inverse(divide(X_1,X_1)))) != X_6
| divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = X_6 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_1,X_1)),X_6),inverse(X_6)) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = X_6,
inference(resolve,[$cnf( $equal(divide(divide(X_4,divide(inverse(divide(X_1,X_1)),X_6)),divide(X_4,inverse(divide(X_1,X_1)))),X_6) )],[refute_0_103,refute_0_115]) ).
cnf(refute_0_117,plain,
divide(X_4,inverse(divide(X_1,X_1))) = multiply(X_4,divide(X_1,X_1)),
inference(subst,[],[refute_0_45:[bind(X,$fot(X_4)),bind(Y,$fot(divide(X_1,X_1)))]]) ).
cnf(refute_0_118,plain,
divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))) = divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))),
introduced(tautology,[refl,[$fot(divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))))]]) ).
cnf(refute_0_119,plain,
( divide(X_4,inverse(divide(X_1,X_1))) != multiply(X_4,divide(X_1,X_1))
| divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))) != divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1))))
| divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))) = divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))),divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1))))) ),[1,1],$fot(multiply(X_4,divide(X_1,X_1)))]]) ).
cnf(refute_0_120,plain,
( divide(X_4,inverse(divide(X_1,X_1))) != multiply(X_4,divide(X_1,X_1))
| divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))) = divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))),divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1))))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))) = divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))),
inference(resolve,[$cnf( $equal(divide(X_4,inverse(divide(X_1,X_1))),multiply(X_4,divide(X_1,X_1))) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
divide(X_4,inverse(X_6)) = multiply(X_4,X_6),
inference(subst,[],[refute_0_45:[bind(X,$fot(X_4)),bind(Y,$fot(X_6))]]) ).
cnf(refute_0_123,plain,
divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))),
introduced(tautology,[refl,[$fot(divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))))]]) ).
cnf(refute_0_124,plain,
( divide(X_4,inverse(X_6)) != multiply(X_4,X_6)
| divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) != divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1))))
| divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))),divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1))))) ),[1,0],$fot(multiply(X_4,X_6))]]) ).
cnf(refute_0_125,plain,
( divide(X_4,inverse(X_6)) != multiply(X_4,X_6)
| divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))) ),
inference(resolve,[$cnf( $equal(divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))),divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1))))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))),
inference(resolve,[$cnf( $equal(divide(X_4,inverse(X_6)),multiply(X_4,X_6)) )],[refute_0_122,refute_0_125]) ).
cnf(refute_0_127,plain,
( divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))) != divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1)))
| divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) != divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1))))
| divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))))),bind(Y0,$fot(divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))))),bind(Z0,$fot(divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1)))))]]) ).
cnf(refute_0_128,plain,
( divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))) != divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1)))
| divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) ),
inference(resolve,[$cnf( $equal(divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))),divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1))))) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))),
inference(resolve,[$cnf( $equal(divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))),divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1)))) )],[refute_0_121,refute_0_128]) ).
cnf(refute_0_130,plain,
( divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) != X_6
| divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) != divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1)))
| divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))),X_6) ),[0],$fot(divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))))]]) ).
cnf(refute_0_131,plain,
( divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) != X_6
| divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) = X_6 ),
inference(resolve,[$cnf( $equal(divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))),divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1)))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) = X_6,
inference(resolve,[$cnf( $equal(divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))),X_6) )],[refute_0_116,refute_0_131]) ).
cnf(refute_0_133,plain,
multiply(inverse(divide(divide(Z,Z),X_10)),divide(Z,Z)) = X_10,
inference(subst,[],[refute_0_54:[bind(X_5,$fot(divide(Z,Z))),bind(X_6,$fot(X_10))]]) ).
cnf(refute_0_134,plain,
inverse(X_10) = divide(divide(Z,Z),X_10),
inference(subst,[],[inverse:[bind(X,$fot(X_10))]]) ).
cnf(refute_0_135,plain,
( inverse(X_10) != divide(divide(Z,Z),X_10)
| divide(divide(Z,Z),X_10) = inverse(X_10) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_10))),bind(Y0,$fot(divide(divide(Z,Z),X_10)))]]) ).
cnf(refute_0_136,plain,
divide(divide(Z,Z),X_10) = inverse(X_10),
inference(resolve,[$cnf( $equal(inverse(X_10),divide(divide(Z,Z),X_10)) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
( multiply(inverse(divide(divide(Z,Z),X_10)),divide(Z,Z)) != X_10
| divide(divide(Z,Z),X_10) != inverse(X_10)
| multiply(inverse(inverse(X_10)),divide(Z,Z)) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(divide(Z,Z),X_10)),divide(Z,Z)),X_10) ),[0,0,0],$fot(inverse(X_10))]]) ).
cnf(refute_0_138,plain,
( multiply(inverse(divide(divide(Z,Z),X_10)),divide(Z,Z)) != X_10
| multiply(inverse(inverse(X_10)),divide(Z,Z)) = X_10 ),
inference(resolve,[$cnf( $equal(divide(divide(Z,Z),X_10),inverse(X_10)) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
multiply(inverse(inverse(X_10)),divide(Z,Z)) = X_10,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(Z,Z),X_10)),divide(Z,Z)),X_10) )],[refute_0_133,refute_0_138]) ).
cnf(refute_0_140,plain,
inverse(inverse(X_10)) = X_10,
inference(subst,[],[refute_0_25:[bind(X_22,$fot(X_10))]]) ).
cnf(refute_0_141,plain,
multiply(inverse(inverse(X_10)),divide(Z,Z)) = multiply(inverse(inverse(X_10)),divide(Z,Z)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_10)),divide(Z,Z)))]]) ).
cnf(refute_0_142,plain,
( multiply(inverse(inverse(X_10)),divide(Z,Z)) != multiply(inverse(inverse(X_10)),divide(Z,Z))
| inverse(inverse(X_10)) != X_10
| multiply(inverse(inverse(X_10)),divide(Z,Z)) = multiply(X_10,divide(Z,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_10)),divide(Z,Z)),multiply(inverse(inverse(X_10)),divide(Z,Z))) ),[1,0],$fot(X_10)]]) ).
cnf(refute_0_143,plain,
( inverse(inverse(X_10)) != X_10
| multiply(inverse(inverse(X_10)),divide(Z,Z)) = multiply(X_10,divide(Z,Z)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),divide(Z,Z)),multiply(inverse(inverse(X_10)),divide(Z,Z))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
multiply(inverse(inverse(X_10)),divide(Z,Z)) = multiply(X_10,divide(Z,Z)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_140,refute_0_143]) ).
cnf(refute_0_145,plain,
( multiply(inverse(inverse(X_10)),divide(Z,Z)) != X_10
| multiply(inverse(inverse(X_10)),divide(Z,Z)) != multiply(X_10,divide(Z,Z))
| multiply(X_10,divide(Z,Z)) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_10)),divide(Z,Z)),X_10) ),[0],$fot(multiply(X_10,divide(Z,Z)))]]) ).
cnf(refute_0_146,plain,
( multiply(inverse(inverse(X_10)),divide(Z,Z)) != X_10
| multiply(X_10,divide(Z,Z)) = X_10 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),divide(Z,Z)),multiply(X_10,divide(Z,Z))) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
multiply(X_10,divide(Z,Z)) = X_10,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),divide(Z,Z)),X_10) )],[refute_0_139,refute_0_146]) ).
cnf(refute_0_148,plain,
multiply(X_4,divide(X_1,X_1)) = X_4,
inference(subst,[],[refute_0_147:[bind(Z,$fot(X_1)),bind(X_10,$fot(X_4))]]) ).
cnf(refute_0_149,plain,
divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) = divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))),
introduced(tautology,[refl,[$fot(divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))))]]) ).
cnf(refute_0_150,plain,
( multiply(X_4,divide(X_1,X_1)) != X_4
| divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) != divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1)))
| divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) = divide(multiply(X_4,X_6),X_4) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))),divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1)))) ),[1,1],$fot(X_4)]]) ).
cnf(refute_0_151,plain,
( multiply(X_4,divide(X_1,X_1)) != X_4
| divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) = divide(multiply(X_4,X_6),X_4) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))),divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1)))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) = divide(multiply(X_4,X_6),X_4),
inference(resolve,[$cnf( $equal(multiply(X_4,divide(X_1,X_1)),X_4) )],[refute_0_148,refute_0_151]) ).
cnf(refute_0_153,plain,
( divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) != X_6
| divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) != divide(multiply(X_4,X_6),X_4)
| divide(multiply(X_4,X_6),X_4) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))),X_6) ),[0],$fot(divide(multiply(X_4,X_6),X_4))]]) ).
cnf(refute_0_154,plain,
( divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) != X_6
| divide(multiply(X_4,X_6),X_4) = X_6 ),
inference(resolve,[$cnf( $equal(divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))),divide(multiply(X_4,X_6),X_4)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
divide(multiply(X_4,X_6),X_4) = X_6,
inference(resolve,[$cnf( $equal(divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))),X_6) )],[refute_0_132,refute_0_154]) ).
cnf(refute_0_156,plain,
divide(multiply(X_6,X_52),X_6) = X_52,
inference(subst,[],[refute_0_155:[bind(X_4,$fot(X_6)),bind(X_6,$fot(X_52))]]) ).
cnf(refute_0_157,plain,
( divide(multiply(X_6,X_52),X_6) != X_52
| divide(inverse(X_6),divide(multiply(X_6,X_52),X_6)) != inverse(multiply(X_6,X_52))
| divide(inverse(X_6),X_52) = inverse(multiply(X_6,X_52)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_6),divide(multiply(X_6,X_52),X_6)),inverse(multiply(X_6,X_52))) ),[0,1],$fot(X_52)]]) ).
cnf(refute_0_158,plain,
( divide(inverse(X_6),divide(multiply(X_6,X_52),X_6)) != inverse(multiply(X_6,X_52))
| divide(inverse(X_6),X_52) = inverse(multiply(X_6,X_52)) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_6,X_52),X_6),X_52) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
divide(inverse(X_6),X_52) = inverse(multiply(X_6,X_52)),
inference(resolve,[$cnf( $equal(divide(inverse(X_6),divide(multiply(X_6,X_52),X_6)),inverse(multiply(X_6,X_52))) )],[refute_0_102,refute_0_158]) ).
cnf(refute_0_160,plain,
divide(inverse(X_54),inverse(Y)) = inverse(multiply(X_54,inverse(Y))),
inference(subst,[],[refute_0_159:[bind(X_52,$fot(inverse(Y))),bind(X_6,$fot(X_54))]]) ).
cnf(refute_0_161,plain,
( multiply(inverse(X_54),Y) != divide(inverse(X_54),inverse(Y))
| divide(inverse(X_54),inverse(Y)) != inverse(multiply(X_54,inverse(Y)))
| multiply(inverse(X_54),Y) = inverse(multiply(X_54,inverse(Y))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_54),Y),inverse(multiply(X_54,inverse(Y)))) ),[0],$fot(divide(inverse(X_54),inverse(Y)))]]) ).
cnf(refute_0_162,plain,
( multiply(inverse(X_54),Y) != divide(inverse(X_54),inverse(Y))
| multiply(inverse(X_54),Y) = inverse(multiply(X_54,inverse(Y))) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_54),inverse(Y)),inverse(multiply(X_54,inverse(Y)))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
multiply(inverse(X_54),Y) = inverse(multiply(X_54,inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_54),Y),divide(inverse(X_54),inverse(Y))) )],[refute_0_92,refute_0_162]) ).
cnf(refute_0_164,plain,
divide(divide(X,divide(inverse(X_8),Z)),divide(X,inverse(X_8))) = Z,
inference(subst,[],[single_axiom:[bind(Y,$fot(inverse(X_8)))]]) ).
cnf(refute_0_165,plain,
multiply(X,X_8) = divide(X,inverse(X_8)),
inference(subst,[],[refute_0_12:[bind(Y,$fot(X_8))]]) ).
cnf(refute_0_166,plain,
( multiply(X,X_8) != divide(X,inverse(X_8))
| divide(X,inverse(X_8)) = multiply(X,X_8) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,X_8))),bind(Y0,$fot(divide(X,inverse(X_8))))]]) ).
cnf(refute_0_167,plain,
divide(X,inverse(X_8)) = multiply(X,X_8),
inference(resolve,[$cnf( $equal(multiply(X,X_8),divide(X,inverse(X_8))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
( divide(X,inverse(X_8)) != multiply(X,X_8)
| divide(divide(X,divide(inverse(X_8),Z)),divide(X,inverse(X_8))) != Z
| divide(divide(X,divide(inverse(X_8),Z)),multiply(X,X_8)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,divide(inverse(X_8),Z)),divide(X,inverse(X_8))),Z) ),[0,1],$fot(multiply(X,X_8))]]) ).
cnf(refute_0_169,plain,
( divide(divide(X,divide(inverse(X_8),Z)),divide(X,inverse(X_8))) != Z
| divide(divide(X,divide(inverse(X_8),Z)),multiply(X,X_8)) = Z ),
inference(resolve,[$cnf( $equal(divide(X,inverse(X_8)),multiply(X,X_8)) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
divide(divide(X,divide(inverse(X_8),Z)),multiply(X,X_8)) = Z,
inference(resolve,[$cnf( $equal(divide(divide(X,divide(inverse(X_8),Z)),divide(X,inverse(X_8))),Z) )],[refute_0_164,refute_0_169]) ).
cnf(refute_0_171,plain,
divide(divide(X,divide(inverse(X_8),multiply(inverse(X_8),X_48))),multiply(X,X_8)) = multiply(inverse(X_8),X_48),
inference(subst,[],[refute_0_170:[bind(Z,$fot(multiply(inverse(X_8),X_48)))]]) ).
cnf(refute_0_172,plain,
divide(divide(X_44,divide(inverse(X_46),inverse(X_46))),multiply(X_44,X_46)) = inverse(X_46),
inference(subst,[],[refute_0_170:[bind(X,$fot(X_44)),bind(Z,$fot(inverse(X_46))),bind(X_8,$fot(X_46))]]) ).
cnf(refute_0_173,plain,
inverse(X) = divide(divide(inverse(X_8),inverse(X_8)),X),
inference(subst,[],[inverse:[bind(Z,$fot(inverse(X_8)))]]) ).
cnf(refute_0_174,plain,
multiply(inverse(X_8),X_8) = divide(inverse(X_8),inverse(X_8)),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(X_8))),bind(Y,$fot(X_8))]]) ).
cnf(refute_0_175,plain,
( multiply(inverse(X_8),X_8) != divide(inverse(X_8),inverse(X_8))
| divide(inverse(X_8),inverse(X_8)) = multiply(inverse(X_8),X_8) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_8),X_8))),bind(Y0,$fot(divide(inverse(X_8),inverse(X_8))))]]) ).
cnf(refute_0_176,plain,
divide(inverse(X_8),inverse(X_8)) = multiply(inverse(X_8),X_8),
inference(resolve,[$cnf( $equal(multiply(inverse(X_8),X_8),divide(inverse(X_8),inverse(X_8))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
( divide(inverse(X_8),inverse(X_8)) != multiply(inverse(X_8),X_8)
| inverse(X) != divide(divide(inverse(X_8),inverse(X_8)),X)
| inverse(X) = divide(multiply(inverse(X_8),X_8),X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),divide(divide(inverse(X_8),inverse(X_8)),X)) ),[1,0],$fot(multiply(inverse(X_8),X_8))]]) ).
cnf(refute_0_178,plain,
( inverse(X) != divide(divide(inverse(X_8),inverse(X_8)),X)
| inverse(X) = divide(multiply(inverse(X_8),X_8),X) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_8),inverse(X_8)),multiply(inverse(X_8),X_8)) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
inverse(X) = divide(multiply(inverse(X_8),X_8),X),
inference(resolve,[$cnf( $equal(inverse(X),divide(divide(inverse(X_8),inverse(X_8)),X)) )],[refute_0_173,refute_0_178]) ).
cnf(refute_0_180,plain,
inverse(multiply(inverse(X_8),X_8)) = divide(multiply(inverse(X_8),X_8),multiply(inverse(X_8),X_8)),
inference(subst,[],[refute_0_179:[bind(X,$fot(multiply(inverse(X_8),X_8)))]]) ).
cnf(refute_0_181,plain,
divide(X_24,multiply(inverse(divide(X_34,X_34)),X_24)) = inverse(inverse(divide(X_34,X_34))),
inference(subst,[],[refute_0_78:[bind(Y,$fot(inverse(divide(X_34,X_34))))]]) ).
cnf(refute_0_182,plain,
inverse(inverse(X_8)) = divide(inverse(divide(X_1,X_1)),inverse(X_8)),
inference(subst,[],[refute_0_110:[bind(X,$fot(inverse(X_8)))]]) ).
cnf(refute_0_183,plain,
multiply(inverse(divide(X_1,X_1)),X_8) = divide(inverse(divide(X_1,X_1)),inverse(X_8)),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(divide(X_1,X_1)))),bind(Y,$fot(X_8))]]) ).
cnf(refute_0_184,plain,
( multiply(inverse(divide(X_1,X_1)),X_8) != divide(inverse(divide(X_1,X_1)),inverse(X_8))
| divide(inverse(divide(X_1,X_1)),inverse(X_8)) = multiply(inverse(divide(X_1,X_1)),X_8) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(divide(X_1,X_1)),X_8))),bind(Y0,$fot(divide(inverse(divide(X_1,X_1)),inverse(X_8))))]]) ).
cnf(refute_0_185,plain,
divide(inverse(divide(X_1,X_1)),inverse(X_8)) = multiply(inverse(divide(X_1,X_1)),X_8),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_1,X_1)),X_8),divide(inverse(divide(X_1,X_1)),inverse(X_8))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
( divide(inverse(divide(X_1,X_1)),inverse(X_8)) != multiply(inverse(divide(X_1,X_1)),X_8)
| inverse(inverse(X_8)) != divide(inverse(divide(X_1,X_1)),inverse(X_8))
| inverse(inverse(X_8)) = multiply(inverse(divide(X_1,X_1)),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_8)),divide(inverse(divide(X_1,X_1)),inverse(X_8))) ),[1],$fot(multiply(inverse(divide(X_1,X_1)),X_8))]]) ).
cnf(refute_0_187,plain,
( inverse(inverse(X_8)) != divide(inverse(divide(X_1,X_1)),inverse(X_8))
| inverse(inverse(X_8)) = multiply(inverse(divide(X_1,X_1)),X_8) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_1,X_1)),inverse(X_8)),multiply(inverse(divide(X_1,X_1)),X_8)) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
inverse(inverse(X_8)) = multiply(inverse(divide(X_1,X_1)),X_8),
inference(resolve,[$cnf( $equal(inverse(inverse(X_8)),divide(inverse(divide(X_1,X_1)),inverse(X_8))) )],[refute_0_182,refute_0_187]) ).
cnf(refute_0_189,plain,
inverse(inverse(X_8)) = X_8,
inference(subst,[],[refute_0_25:[bind(X_22,$fot(X_8))]]) ).
cnf(refute_0_190,plain,
( inverse(inverse(X_8)) != X_8
| inverse(inverse(X_8)) != multiply(inverse(divide(X_1,X_1)),X_8)
| X_8 = multiply(inverse(divide(X_1,X_1)),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_8)),multiply(inverse(divide(X_1,X_1)),X_8)) ),[0],$fot(X_8)]]) ).
cnf(refute_0_191,plain,
( inverse(inverse(X_8)) != multiply(inverse(divide(X_1,X_1)),X_8)
| X_8 = multiply(inverse(divide(X_1,X_1)),X_8) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_8)),X_8) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
X_8 = multiply(inverse(divide(X_1,X_1)),X_8),
inference(resolve,[$cnf( $equal(inverse(inverse(X_8)),multiply(inverse(divide(X_1,X_1)),X_8)) )],[refute_0_188,refute_0_191]) ).
cnf(refute_0_193,plain,
X_24 = multiply(inverse(divide(X_34,X_34)),X_24),
inference(subst,[],[refute_0_192:[bind(X_1,$fot(X_34)),bind(X_8,$fot(X_24))]]) ).
cnf(refute_0_194,plain,
( X_24 != multiply(inverse(divide(X_34,X_34)),X_24)
| multiply(inverse(divide(X_34,X_34)),X_24) = X_24 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_24)),bind(Y0,$fot(multiply(inverse(divide(X_34,X_34)),X_24)))]]) ).
cnf(refute_0_195,plain,
multiply(inverse(divide(X_34,X_34)),X_24) = X_24,
inference(resolve,[$cnf( $equal(X_24,multiply(inverse(divide(X_34,X_34)),X_24)) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
( multiply(inverse(divide(X_34,X_34)),X_24) != X_24
| divide(X_24,multiply(inverse(divide(X_34,X_34)),X_24)) != inverse(inverse(divide(X_34,X_34)))
| divide(X_24,X_24) = inverse(inverse(divide(X_34,X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_24,multiply(inverse(divide(X_34,X_34)),X_24)),inverse(inverse(divide(X_34,X_34)))) ),[0,1],$fot(X_24)]]) ).
cnf(refute_0_197,plain,
( divide(X_24,multiply(inverse(divide(X_34,X_34)),X_24)) != inverse(inverse(divide(X_34,X_34)))
| divide(X_24,X_24) = inverse(inverse(divide(X_34,X_34))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_34,X_34)),X_24),X_24) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
divide(X_24,X_24) = inverse(inverse(divide(X_34,X_34))),
inference(resolve,[$cnf( $equal(divide(X_24,multiply(inverse(divide(X_34,X_34)),X_24)),inverse(inverse(divide(X_34,X_34)))) )],[refute_0_181,refute_0_197]) ).
cnf(refute_0_199,plain,
inverse(inverse(divide(X_34,X_34))) = divide(X_34,X_34),
inference(subst,[],[refute_0_25:[bind(X_22,$fot(divide(X_34,X_34)))]]) ).
cnf(refute_0_200,plain,
( divide(X_24,X_24) != inverse(inverse(divide(X_34,X_34)))
| inverse(inverse(divide(X_34,X_34))) != divide(X_34,X_34)
| divide(X_24,X_24) = divide(X_34,X_34) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_24,X_24),divide(X_34,X_34)) ),[0],$fot(inverse(inverse(divide(X_34,X_34))))]]) ).
cnf(refute_0_201,plain,
( divide(X_24,X_24) != inverse(inverse(divide(X_34,X_34)))
| divide(X_24,X_24) = divide(X_34,X_34) ),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_34,X_34))),divide(X_34,X_34)) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
divide(X_24,X_24) = divide(X_34,X_34),
inference(resolve,[$cnf( $equal(divide(X_24,X_24),inverse(inverse(divide(X_34,X_34)))) )],[refute_0_198,refute_0_201]) ).
cnf(refute_0_203,plain,
divide(multiply(inverse(X_8),X_8),multiply(inverse(X_8),X_8)) = divide(X_37,X_37),
inference(subst,[],[refute_0_202:[bind(X_24,$fot(multiply(inverse(X_8),X_8))),bind(X_34,$fot(X_37))]]) ).
cnf(refute_0_204,plain,
( divide(multiply(inverse(X_8),X_8),multiply(inverse(X_8),X_8)) != divide(X_37,X_37)
| inverse(multiply(inverse(X_8),X_8)) != divide(multiply(inverse(X_8),X_8),multiply(inverse(X_8),X_8))
| inverse(multiply(inverse(X_8),X_8)) = divide(X_37,X_37) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_8),X_8)),divide(multiply(inverse(X_8),X_8),multiply(inverse(X_8),X_8))) ),[1],$fot(divide(X_37,X_37))]]) ).
cnf(refute_0_205,plain,
( inverse(multiply(inverse(X_8),X_8)) != divide(multiply(inverse(X_8),X_8),multiply(inverse(X_8),X_8))
| inverse(multiply(inverse(X_8),X_8)) = divide(X_37,X_37) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_8),X_8),multiply(inverse(X_8),X_8)),divide(X_37,X_37)) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
inverse(multiply(inverse(X_8),X_8)) = divide(X_37,X_37),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_8),X_8)),divide(multiply(inverse(X_8),X_8),multiply(inverse(X_8),X_8))) )],[refute_0_180,refute_0_205]) ).
cnf(refute_0_207,plain,
inverse(multiply(inverse(X_32),X_32)) = divide(multiply(inverse(X_8),X_8),multiply(inverse(X_32),X_32)),
inference(subst,[],[refute_0_179:[bind(X,$fot(multiply(inverse(X_32),X_32)))]]) ).
cnf(refute_0_208,plain,
multiply(inverse(divide(inverse(multiply(inverse(X_18),X_18)),X_6)),inverse(multiply(inverse(X_18),X_18))) = X_6,
inference(subst,[],[refute_0_54:[bind(X_5,$fot(inverse(multiply(inverse(X_18),X_18))))]]) ).
cnf(refute_0_209,plain,
inverse(X) = divide(inverse(divide(inverse(X_8),inverse(X_8))),X),
inference(subst,[],[refute_0_110:[bind(X_1,$fot(inverse(X_8)))]]) ).
cnf(refute_0_210,plain,
( divide(inverse(X_8),inverse(X_8)) != multiply(inverse(X_8),X_8)
| inverse(X) != divide(inverse(divide(inverse(X_8),inverse(X_8))),X)
| inverse(X) = divide(inverse(multiply(inverse(X_8),X_8)),X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),divide(inverse(divide(inverse(X_8),inverse(X_8))),X)) ),[1,0,0],$fot(multiply(inverse(X_8),X_8))]]) ).
cnf(refute_0_211,plain,
( inverse(X) != divide(inverse(divide(inverse(X_8),inverse(X_8))),X)
| inverse(X) = divide(inverse(multiply(inverse(X_8),X_8)),X) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_8),inverse(X_8)),multiply(inverse(X_8),X_8)) )],[refute_0_176,refute_0_210]) ).
cnf(refute_0_212,plain,
inverse(X) = divide(inverse(multiply(inverse(X_8),X_8)),X),
inference(resolve,[$cnf( $equal(inverse(X),divide(inverse(divide(inverse(X_8),inverse(X_8))),X)) )],[refute_0_209,refute_0_211]) ).
cnf(refute_0_213,plain,
inverse(X_6) = divide(inverse(multiply(inverse(X_18),X_18)),X_6),
inference(subst,[],[refute_0_212:[bind(X,$fot(X_6)),bind(X_8,$fot(X_18))]]) ).
cnf(refute_0_214,plain,
( inverse(X_6) != divide(inverse(multiply(inverse(X_18),X_18)),X_6)
| divide(inverse(multiply(inverse(X_18),X_18)),X_6) = inverse(X_6) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_6))),bind(Y0,$fot(divide(inverse(multiply(inverse(X_18),X_18)),X_6)))]]) ).
cnf(refute_0_215,plain,
divide(inverse(multiply(inverse(X_18),X_18)),X_6) = inverse(X_6),
inference(resolve,[$cnf( $equal(inverse(X_6),divide(inverse(multiply(inverse(X_18),X_18)),X_6)) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
( multiply(inverse(divide(inverse(multiply(inverse(X_18),X_18)),X_6)),inverse(multiply(inverse(X_18),X_18))) != X_6
| divide(inverse(multiply(inverse(X_18),X_18)),X_6) != inverse(X_6)
| multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(inverse(multiply(inverse(X_18),X_18)),X_6)),inverse(multiply(inverse(X_18),X_18))),X_6) ),[0,0,0],$fot(inverse(X_6))]]) ).
cnf(refute_0_217,plain,
( multiply(inverse(divide(inverse(multiply(inverse(X_18),X_18)),X_6)),inverse(multiply(inverse(X_18),X_18))) != X_6
| multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18))) = X_6 ),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(inverse(X_18),X_18)),X_6),inverse(X_6)) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18))) = X_6,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(inverse(multiply(inverse(X_18),X_18)),X_6)),inverse(multiply(inverse(X_18),X_18))),X_6) )],[refute_0_208,refute_0_217]) ).
cnf(refute_0_219,plain,
inverse(inverse(X_6)) = X_6,
inference(subst,[],[refute_0_25:[bind(X_22,$fot(X_6))]]) ).
cnf(refute_0_220,plain,
multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18))) = multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18))),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18))))]]) ).
cnf(refute_0_221,plain,
( multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18))) != multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18)))
| inverse(inverse(X_6)) != X_6
| multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18))) = multiply(X_6,inverse(multiply(inverse(X_18),X_18))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18))),multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18)))) ),[1,0],$fot(X_6)]]) ).
cnf(refute_0_222,plain,
( inverse(inverse(X_6)) != X_6
| multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18))) = multiply(X_6,inverse(multiply(inverse(X_18),X_18))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18))),multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18)))) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18))) = multiply(X_6,inverse(multiply(inverse(X_18),X_18))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_6)),X_6) )],[refute_0_219,refute_0_222]) ).
cnf(refute_0_224,plain,
( multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18))) != X_6
| multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18))) != multiply(X_6,inverse(multiply(inverse(X_18),X_18)))
| multiply(X_6,inverse(multiply(inverse(X_18),X_18))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18))),X_6) ),[0],$fot(multiply(X_6,inverse(multiply(inverse(X_18),X_18))))]]) ).
cnf(refute_0_225,plain,
( multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18))) != X_6
| multiply(X_6,inverse(multiply(inverse(X_18),X_18))) = X_6 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18))),multiply(X_6,inverse(multiply(inverse(X_18),X_18)))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
multiply(X_6,inverse(multiply(inverse(X_18),X_18))) = X_6,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_6)),inverse(multiply(inverse(X_18),X_18))),X_6) )],[refute_0_218,refute_0_225]) ).
cnf(refute_0_227,plain,
multiply(X_6,inverse(multiply(inverse(X_18),X_18))) = divide(X_6,multiply(inverse(X_18),X_18)),
inference(subst,[],[refute_0_29:[bind(X,$fot(X_6)),bind(X_23,$fot(multiply(inverse(X_18),X_18)))]]) ).
cnf(refute_0_228,plain,
( multiply(X_6,inverse(multiply(inverse(X_18),X_18))) != X_6
| multiply(X_6,inverse(multiply(inverse(X_18),X_18))) != divide(X_6,multiply(inverse(X_18),X_18))
| divide(X_6,multiply(inverse(X_18),X_18)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_6,inverse(multiply(inverse(X_18),X_18))),X_6) ),[0],$fot(divide(X_6,multiply(inverse(X_18),X_18)))]]) ).
cnf(refute_0_229,plain,
( multiply(X_6,inverse(multiply(inverse(X_18),X_18))) != X_6
| divide(X_6,multiply(inverse(X_18),X_18)) = X_6 ),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(multiply(inverse(X_18),X_18))),divide(X_6,multiply(inverse(X_18),X_18))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
divide(X_6,multiply(inverse(X_18),X_18)) = X_6,
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(multiply(inverse(X_18),X_18))),X_6) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
divide(multiply(inverse(X_8),X_8),multiply(inverse(X_32),X_32)) = multiply(inverse(X_8),X_8),
inference(subst,[],[refute_0_230:[bind(X_18,$fot(X_32)),bind(X_6,$fot(multiply(inverse(X_8),X_8)))]]) ).
cnf(refute_0_232,plain,
( divide(multiply(inverse(X_8),X_8),multiply(inverse(X_32),X_32)) != multiply(inverse(X_8),X_8)
| inverse(multiply(inverse(X_32),X_32)) != divide(multiply(inverse(X_8),X_8),multiply(inverse(X_32),X_32))
| inverse(multiply(inverse(X_32),X_32)) = multiply(inverse(X_8),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_32),X_32)),divide(multiply(inverse(X_8),X_8),multiply(inverse(X_32),X_32))) ),[1],$fot(multiply(inverse(X_8),X_8))]]) ).
cnf(refute_0_233,plain,
( inverse(multiply(inverse(X_32),X_32)) != divide(multiply(inverse(X_8),X_8),multiply(inverse(X_32),X_32))
| inverse(multiply(inverse(X_32),X_32)) = multiply(inverse(X_8),X_8) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_8),X_8),multiply(inverse(X_32),X_32)),multiply(inverse(X_8),X_8)) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
inverse(multiply(inverse(X_32),X_32)) = multiply(inverse(X_8),X_8),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_32),X_32)),divide(multiply(inverse(X_8),X_8),multiply(inverse(X_32),X_32))) )],[refute_0_207,refute_0_233]) ).
cnf(refute_0_235,plain,
inverse(multiply(inverse(X_8),X_8)) = multiply(inverse(X_8),X_8),
inference(subst,[],[refute_0_234:[bind(X_32,$fot(X_8))]]) ).
cnf(refute_0_236,plain,
( inverse(multiply(inverse(X_8),X_8)) != multiply(inverse(X_8),X_8)
| inverse(multiply(inverse(X_8),X_8)) != divide(X_37,X_37)
| multiply(inverse(X_8),X_8) = divide(X_37,X_37) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_8),X_8)),divide(X_37,X_37)) ),[0],$fot(multiply(inverse(X_8),X_8))]]) ).
cnf(refute_0_237,plain,
( inverse(multiply(inverse(X_8),X_8)) != divide(X_37,X_37)
| multiply(inverse(X_8),X_8) = divide(X_37,X_37) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_8),X_8)),multiply(inverse(X_8),X_8)) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
multiply(inverse(X_8),X_8) = divide(X_37,X_37),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_8),X_8)),divide(X_37,X_37)) )],[refute_0_206,refute_0_237]) ).
cnf(refute_0_239,plain,
multiply(inverse(X_8),X_8) = divide(inverse(X_46),inverse(X_46)),
inference(subst,[],[refute_0_238:[bind(X_37,$fot(inverse(X_46)))]]) ).
cnf(refute_0_240,plain,
( multiply(inverse(X_8),X_8) != divide(inverse(X_46),inverse(X_46))
| divide(inverse(X_46),inverse(X_46)) = multiply(inverse(X_8),X_8) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_8),X_8))),bind(Y0,$fot(divide(inverse(X_46),inverse(X_46))))]]) ).
cnf(refute_0_241,plain,
divide(inverse(X_46),inverse(X_46)) = multiply(inverse(X_8),X_8),
inference(resolve,[$cnf( $equal(multiply(inverse(X_8),X_8),divide(inverse(X_46),inverse(X_46))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
( divide(divide(X_44,divide(inverse(X_46),inverse(X_46))),multiply(X_44,X_46)) != inverse(X_46)
| divide(inverse(X_46),inverse(X_46)) != multiply(inverse(X_8),X_8)
| divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46)) = inverse(X_46) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_44,divide(inverse(X_46),inverse(X_46))),multiply(X_44,X_46)),inverse(X_46)) ),[0,0,1],$fot(multiply(inverse(X_8),X_8))]]) ).
cnf(refute_0_243,plain,
( divide(divide(X_44,divide(inverse(X_46),inverse(X_46))),multiply(X_44,X_46)) != inverse(X_46)
| divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46)) = inverse(X_46) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_46),inverse(X_46)),multiply(inverse(X_8),X_8)) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46)) = inverse(X_46),
inference(resolve,[$cnf( $equal(divide(divide(X_44,divide(inverse(X_46),inverse(X_46))),multiply(X_44,X_46)),inverse(X_46)) )],[refute_0_172,refute_0_243]) ).
cnf(refute_0_245,plain,
divide(X_44,multiply(inverse(X_8),X_8)) = X_44,
inference(subst,[],[refute_0_230:[bind(X_18,$fot(X_8)),bind(X_6,$fot(X_44))]]) ).
cnf(refute_0_246,plain,
divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46)) = divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46)),
introduced(tautology,[refl,[$fot(divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46)))]]) ).
cnf(refute_0_247,plain,
( divide(X_44,multiply(inverse(X_8),X_8)) != X_44
| divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46)) != divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46))
| divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46)) = divide(X_44,multiply(X_44,X_46)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46)),divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46))) ),[1,0],$fot(X_44)]]) ).
cnf(refute_0_248,plain,
( divide(X_44,multiply(inverse(X_8),X_8)) != X_44
| divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46)) = divide(X_44,multiply(X_44,X_46)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46)),divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46)) = divide(X_44,multiply(X_44,X_46)),
inference(resolve,[$cnf( $equal(divide(X_44,multiply(inverse(X_8),X_8)),X_44) )],[refute_0_245,refute_0_248]) ).
cnf(refute_0_250,plain,
( divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46)) != divide(X_44,multiply(X_44,X_46))
| divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46)) != inverse(X_46)
| divide(X_44,multiply(X_44,X_46)) = inverse(X_46) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46)),inverse(X_46)) ),[0],$fot(divide(X_44,multiply(X_44,X_46)))]]) ).
cnf(refute_0_251,plain,
( divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46)) != inverse(X_46)
| divide(X_44,multiply(X_44,X_46)) = inverse(X_46) ),
inference(resolve,[$cnf( $equal(divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46)),divide(X_44,multiply(X_44,X_46))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
divide(X_44,multiply(X_44,X_46)) = inverse(X_46),
inference(resolve,[$cnf( $equal(divide(divide(X_44,multiply(inverse(X_8),X_8)),multiply(X_44,X_46)),inverse(X_46)) )],[refute_0_244,refute_0_251]) ).
cnf(refute_0_253,plain,
divide(inverse(X_8),multiply(inverse(X_8),X_48)) = inverse(X_48),
inference(subst,[],[refute_0_252:[bind(X_44,$fot(inverse(X_8))),bind(X_46,$fot(X_48))]]) ).
cnf(refute_0_254,plain,
( divide(divide(X,divide(inverse(X_8),multiply(inverse(X_8),X_48))),multiply(X,X_8)) != multiply(inverse(X_8),X_48)
| divide(inverse(X_8),multiply(inverse(X_8),X_48)) != inverse(X_48)
| divide(divide(X,inverse(X_48)),multiply(X,X_8)) = multiply(inverse(X_8),X_48) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,divide(inverse(X_8),multiply(inverse(X_8),X_48))),multiply(X,X_8)),multiply(inverse(X_8),X_48)) ),[0,0,1],$fot(inverse(X_48))]]) ).
cnf(refute_0_255,plain,
( divide(divide(X,divide(inverse(X_8),multiply(inverse(X_8),X_48))),multiply(X,X_8)) != multiply(inverse(X_8),X_48)
| divide(divide(X,inverse(X_48)),multiply(X,X_8)) = multiply(inverse(X_8),X_48) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_8),multiply(inverse(X_8),X_48)),inverse(X_48)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
divide(divide(X,inverse(X_48)),multiply(X,X_8)) = multiply(inverse(X_8),X_48),
inference(resolve,[$cnf( $equal(divide(divide(X,divide(inverse(X_8),multiply(inverse(X_8),X_48))),multiply(X,X_8)),multiply(inverse(X_8),X_48)) )],[refute_0_171,refute_0_255]) ).
cnf(refute_0_257,plain,
divide(divide(X,divide(inverse(X_29),divide(X_28,X_29))),divide(X,inverse(X_29))) = divide(X_28,X_29),
inference(subst,[],[single_axiom:[bind(Y,$fot(inverse(X_29))),bind(Z,$fot(divide(X_28,X_29)))]]) ).
cnf(refute_0_258,plain,
divide(inverse(X_29),divide(X_28,X_29)) = inverse(X_28),
inference(subst,[],[refute_0_101:[bind(X_24,$fot(X_28)),bind(X_6,$fot(X_29))]]) ).
cnf(refute_0_259,plain,
( divide(divide(X,divide(inverse(X_29),divide(X_28,X_29))),divide(X,inverse(X_29))) != divide(X_28,X_29)
| divide(inverse(X_29),divide(X_28,X_29)) != inverse(X_28)
| divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))) = divide(X_28,X_29) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,divide(inverse(X_29),divide(X_28,X_29))),divide(X,inverse(X_29))),divide(X_28,X_29)) ),[0,0,1],$fot(inverse(X_28))]]) ).
cnf(refute_0_260,plain,
( divide(divide(X,divide(inverse(X_29),divide(X_28,X_29))),divide(X,inverse(X_29))) != divide(X_28,X_29)
| divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))) = divide(X_28,X_29) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_29),divide(X_28,X_29)),inverse(X_28)) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))) = divide(X_28,X_29),
inference(resolve,[$cnf( $equal(divide(divide(X,divide(inverse(X_29),divide(X_28,X_29))),divide(X,inverse(X_29))),divide(X_28,X_29)) )],[refute_0_257,refute_0_260]) ).
cnf(refute_0_262,plain,
divide(X,inverse(X_29)) = multiply(X,X_29),
inference(subst,[],[refute_0_45:[bind(Y,$fot(X_29))]]) ).
cnf(refute_0_263,plain,
divide(multiply(X,X_28),divide(X,inverse(X_29))) = divide(multiply(X,X_28),divide(X,inverse(X_29))),
introduced(tautology,[refl,[$fot(divide(multiply(X,X_28),divide(X,inverse(X_29))))]]) ).
cnf(refute_0_264,plain,
( divide(X,inverse(X_29)) != multiply(X,X_29)
| divide(multiply(X,X_28),divide(X,inverse(X_29))) != divide(multiply(X,X_28),divide(X,inverse(X_29)))
| divide(multiply(X,X_28),divide(X,inverse(X_29))) = divide(multiply(X,X_28),multiply(X,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X,X_28),divide(X,inverse(X_29))),divide(multiply(X,X_28),divide(X,inverse(X_29)))) ),[1,1],$fot(multiply(X,X_29))]]) ).
cnf(refute_0_265,plain,
( divide(X,inverse(X_29)) != multiply(X,X_29)
| divide(multiply(X,X_28),divide(X,inverse(X_29))) = divide(multiply(X,X_28),multiply(X,X_29)) ),
inference(resolve,[$cnf( $equal(divide(multiply(X,X_28),divide(X,inverse(X_29))),divide(multiply(X,X_28),divide(X,inverse(X_29)))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
divide(multiply(X,X_28),divide(X,inverse(X_29))) = divide(multiply(X,X_28),multiply(X,X_29)),
inference(resolve,[$cnf( $equal(divide(X,inverse(X_29)),multiply(X,X_29)) )],[refute_0_262,refute_0_265]) ).
cnf(refute_0_267,plain,
divide(X,inverse(X_28)) = multiply(X,X_28),
inference(subst,[],[refute_0_45:[bind(Y,$fot(X_28))]]) ).
cnf(refute_0_268,plain,
divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))) = divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))),
introduced(tautology,[refl,[$fot(divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))))]]) ).
cnf(refute_0_269,plain,
( divide(X,inverse(X_28)) != multiply(X,X_28)
| divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))) != divide(divide(X,inverse(X_28)),divide(X,inverse(X_29)))
| divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))) = divide(multiply(X,X_28),divide(X,inverse(X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))),divide(divide(X,inverse(X_28)),divide(X,inverse(X_29)))) ),[1,0],$fot(multiply(X,X_28))]]) ).
cnf(refute_0_270,plain,
( divide(X,inverse(X_28)) != multiply(X,X_28)
| divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))) = divide(multiply(X,X_28),divide(X,inverse(X_29))) ),
inference(resolve,[$cnf( $equal(divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))),divide(divide(X,inverse(X_28)),divide(X,inverse(X_29)))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))) = divide(multiply(X,X_28),divide(X,inverse(X_29))),
inference(resolve,[$cnf( $equal(divide(X,inverse(X_28)),multiply(X,X_28)) )],[refute_0_267,refute_0_270]) ).
cnf(refute_0_272,plain,
( divide(multiply(X,X_28),divide(X,inverse(X_29))) != divide(multiply(X,X_28),multiply(X,X_29))
| divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))) != divide(multiply(X,X_28),divide(X,inverse(X_29)))
| divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))) = divide(multiply(X,X_28),multiply(X,X_29)) ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))))),bind(Y0,$fot(divide(multiply(X,X_28),divide(X,inverse(X_29))))),bind(Z0,$fot(divide(multiply(X,X_28),multiply(X,X_29))))]]) ).
cnf(refute_0_273,plain,
( divide(multiply(X,X_28),divide(X,inverse(X_29))) != divide(multiply(X,X_28),multiply(X,X_29))
| divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))) = divide(multiply(X,X_28),multiply(X,X_29)) ),
inference(resolve,[$cnf( $equal(divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))),divide(multiply(X,X_28),divide(X,inverse(X_29)))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))) = divide(multiply(X,X_28),multiply(X,X_29)),
inference(resolve,[$cnf( $equal(divide(multiply(X,X_28),divide(X,inverse(X_29))),divide(multiply(X,X_28),multiply(X,X_29))) )],[refute_0_266,refute_0_273]) ).
cnf(refute_0_275,plain,
( divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))) != divide(X_28,X_29)
| divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))) != divide(multiply(X,X_28),multiply(X,X_29))
| divide(multiply(X,X_28),multiply(X,X_29)) = divide(X_28,X_29) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))),divide(X_28,X_29)) ),[0],$fot(divide(multiply(X,X_28),multiply(X,X_29)))]]) ).
cnf(refute_0_276,plain,
( divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))) != divide(X_28,X_29)
| divide(multiply(X,X_28),multiply(X,X_29)) = divide(X_28,X_29) ),
inference(resolve,[$cnf( $equal(divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))),divide(multiply(X,X_28),multiply(X,X_29))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
divide(multiply(X,X_28),multiply(X,X_29)) = divide(X_28,X_29),
inference(resolve,[$cnf( $equal(divide(divide(X,inverse(X_28)),divide(X,inverse(X_29))),divide(X_28,X_29)) )],[refute_0_261,refute_0_276]) ).
cnf(refute_0_278,plain,
divide(multiply(X,X_48),multiply(X,X_8)) = divide(X_48,X_8),
inference(subst,[],[refute_0_277:[bind(X_28,$fot(X_48)),bind(X_29,$fot(X_8))]]) ).
cnf(refute_0_279,plain,
divide(X,inverse(X_48)) = multiply(X,X_48),
inference(subst,[],[refute_0_45:[bind(Y,$fot(X_48))]]) ).
cnf(refute_0_280,plain,
divide(divide(X,inverse(X_48)),multiply(X,X_8)) = divide(divide(X,inverse(X_48)),multiply(X,X_8)),
introduced(tautology,[refl,[$fot(divide(divide(X,inverse(X_48)),multiply(X,X_8)))]]) ).
cnf(refute_0_281,plain,
( divide(X,inverse(X_48)) != multiply(X,X_48)
| divide(divide(X,inverse(X_48)),multiply(X,X_8)) != divide(divide(X,inverse(X_48)),multiply(X,X_8))
| divide(divide(X,inverse(X_48)),multiply(X,X_8)) = divide(multiply(X,X_48),multiply(X,X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,inverse(X_48)),multiply(X,X_8)),divide(divide(X,inverse(X_48)),multiply(X,X_8))) ),[1,0],$fot(multiply(X,X_48))]]) ).
cnf(refute_0_282,plain,
( divide(X,inverse(X_48)) != multiply(X,X_48)
| divide(divide(X,inverse(X_48)),multiply(X,X_8)) = divide(multiply(X,X_48),multiply(X,X_8)) ),
inference(resolve,[$cnf( $equal(divide(divide(X,inverse(X_48)),multiply(X,X_8)),divide(divide(X,inverse(X_48)),multiply(X,X_8))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
divide(divide(X,inverse(X_48)),multiply(X,X_8)) = divide(multiply(X,X_48),multiply(X,X_8)),
inference(resolve,[$cnf( $equal(divide(X,inverse(X_48)),multiply(X,X_48)) )],[refute_0_279,refute_0_282]) ).
cnf(refute_0_284,plain,
( divide(multiply(X,X_48),multiply(X,X_8)) != divide(X_48,X_8)
| divide(divide(X,inverse(X_48)),multiply(X,X_8)) != divide(multiply(X,X_48),multiply(X,X_8))
| divide(divide(X,inverse(X_48)),multiply(X,X_8)) = divide(X_48,X_8) ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(divide(divide(X,inverse(X_48)),multiply(X,X_8)))),bind(Y0,$fot(divide(multiply(X,X_48),multiply(X,X_8)))),bind(Z0,$fot(divide(X_48,X_8)))]]) ).
cnf(refute_0_285,plain,
( divide(multiply(X,X_48),multiply(X,X_8)) != divide(X_48,X_8)
| divide(divide(X,inverse(X_48)),multiply(X,X_8)) = divide(X_48,X_8) ),
inference(resolve,[$cnf( $equal(divide(divide(X,inverse(X_48)),multiply(X,X_8)),divide(multiply(X,X_48),multiply(X,X_8))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
divide(divide(X,inverse(X_48)),multiply(X,X_8)) = divide(X_48,X_8),
inference(resolve,[$cnf( $equal(divide(multiply(X,X_48),multiply(X,X_8)),divide(X_48,X_8)) )],[refute_0_278,refute_0_285]) ).
cnf(refute_0_287,plain,
( divide(divide(X,inverse(X_48)),multiply(X,X_8)) != multiply(inverse(X_8),X_48)
| divide(divide(X,inverse(X_48)),multiply(X,X_8)) != divide(X_48,X_8)
| divide(X_48,X_8) = multiply(inverse(X_8),X_48) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,inverse(X_48)),multiply(X,X_8)),multiply(inverse(X_8),X_48)) ),[0],$fot(divide(X_48,X_8))]]) ).
cnf(refute_0_288,plain,
( divide(divide(X,inverse(X_48)),multiply(X,X_8)) != multiply(inverse(X_8),X_48)
| divide(X_48,X_8) = multiply(inverse(X_8),X_48) ),
inference(resolve,[$cnf( $equal(divide(divide(X,inverse(X_48)),multiply(X,X_8)),divide(X_48,X_8)) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
divide(X_48,X_8) = multiply(inverse(X_8),X_48),
inference(resolve,[$cnf( $equal(divide(divide(X,inverse(X_48)),multiply(X,X_8)),multiply(inverse(X_8),X_48)) )],[refute_0_256,refute_0_288]) ).
cnf(refute_0_290,plain,
( divide(X_48,X_8) != multiply(inverse(X_8),X_48)
| multiply(inverse(X_8),X_48) = divide(X_48,X_8) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(divide(X_48,X_8))),bind(Y0,$fot(multiply(inverse(X_8),X_48)))]]) ).
cnf(refute_0_291,plain,
multiply(inverse(X_8),X_48) = divide(X_48,X_8),
inference(resolve,[$cnf( $equal(divide(X_48,X_8),multiply(inverse(X_8),X_48)) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
multiply(inverse(X_54),Y) = divide(Y,X_54),
inference(subst,[],[refute_0_291:[bind(X_48,$fot(Y)),bind(X_8,$fot(X_54))]]) ).
cnf(refute_0_293,plain,
( multiply(inverse(X_54),Y) != divide(Y,X_54)
| multiply(inverse(X_54),Y) != inverse(multiply(X_54,inverse(Y)))
| divide(Y,X_54) = inverse(multiply(X_54,inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_54),Y),inverse(multiply(X_54,inverse(Y)))) ),[0],$fot(divide(Y,X_54))]]) ).
cnf(refute_0_294,plain,
( multiply(inverse(X_54),Y) != inverse(multiply(X_54,inverse(Y)))
| divide(Y,X_54) = inverse(multiply(X_54,inverse(Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_54),Y),divide(Y,X_54)) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
multiply(X_54,inverse(Y)) = divide(X_54,Y),
inference(subst,[],[refute_0_29:[bind(X,$fot(X_54)),bind(X_23,$fot(Y))]]) ).
cnf(refute_0_296,plain,
inverse(multiply(X_54,inverse(Y))) = inverse(multiply(X_54,inverse(Y))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_54,inverse(Y))))]]) ).
cnf(refute_0_297,plain,
( multiply(X_54,inverse(Y)) != divide(X_54,Y)
| inverse(multiply(X_54,inverse(Y))) != inverse(multiply(X_54,inverse(Y)))
| inverse(multiply(X_54,inverse(Y))) = inverse(divide(X_54,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_54,inverse(Y))),inverse(multiply(X_54,inverse(Y)))) ),[1,0],$fot(divide(X_54,Y))]]) ).
cnf(refute_0_298,plain,
( multiply(X_54,inverse(Y)) != divide(X_54,Y)
| inverse(multiply(X_54,inverse(Y))) = inverse(divide(X_54,Y)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_54,inverse(Y))),inverse(multiply(X_54,inverse(Y)))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
inverse(multiply(X_54,inverse(Y))) = inverse(divide(X_54,Y)),
inference(resolve,[$cnf( $equal(multiply(X_54,inverse(Y)),divide(X_54,Y)) )],[refute_0_295,refute_0_298]) ).
cnf(refute_0_300,plain,
( divide(Y,X_54) != inverse(multiply(X_54,inverse(Y)))
| inverse(multiply(X_54,inverse(Y))) != inverse(divide(X_54,Y))
| divide(Y,X_54) = inverse(divide(X_54,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(Y,X_54),inverse(divide(X_54,Y))) ),[0],$fot(inverse(multiply(X_54,inverse(Y))))]]) ).
cnf(refute_0_301,plain,
( divide(Y,X_54) != inverse(multiply(X_54,inverse(Y)))
| divide(Y,X_54) = inverse(divide(X_54,Y)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_54,inverse(Y))),inverse(divide(X_54,Y))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
( multiply(inverse(X_54),Y) != inverse(multiply(X_54,inverse(Y)))
| divide(Y,X_54) = inverse(divide(X_54,Y)) ),
inference(resolve,[$cnf( $equal(divide(Y,X_54),inverse(multiply(X_54,inverse(Y)))) )],[refute_0_294,refute_0_301]) ).
cnf(refute_0_303,plain,
divide(Y,X_54) = inverse(divide(X_54,Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_54),Y),inverse(multiply(X_54,inverse(Y)))) )],[refute_0_163,refute_0_302]) ).
cnf(refute_0_304,plain,
divide(X_55,X_56) = inverse(divide(X_56,X_55)),
inference(subst,[],[refute_0_303:[bind(Y,$fot(X_55)),bind(X_54,$fot(X_56))]]) ).
cnf(refute_0_305,plain,
( divide(X_55,X_56) != inverse(divide(X_56,X_55))
| inverse(divide(X_56,X_55)) = divide(X_55,X_56) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(divide(X_55,X_56))),bind(Y0,$fot(inverse(divide(X_56,X_55))))]]) ).
cnf(refute_0_306,plain,
inverse(divide(X_56,X_55)) = divide(X_55,X_56),
inference(resolve,[$cnf( $equal(divide(X_55,X_56),inverse(divide(X_56,X_55))) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
( multiply(X,inverse(divide(X_56,X_55))) != divide(X,divide(X_56,X_55))
| inverse(divide(X_56,X_55)) != divide(X_55,X_56)
| multiply(X,divide(X_55,X_56)) = divide(X,divide(X_56,X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(divide(X_56,X_55))),divide(X,divide(X_56,X_55))) ),[0,1],$fot(divide(X_55,X_56))]]) ).
cnf(refute_0_308,plain,
( multiply(X,inverse(divide(X_56,X_55))) != divide(X,divide(X_56,X_55))
| multiply(X,divide(X_55,X_56)) = divide(X,divide(X_56,X_55)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_56,X_55)),divide(X_55,X_56)) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
multiply(X,divide(X_55,X_56)) = divide(X,divide(X_56,X_55)),
inference(resolve,[$cnf( $equal(multiply(X,inverse(divide(X_56,X_55))),divide(X,divide(X_56,X_55))) )],[refute_0_91,refute_0_308]) ).
cnf(refute_0_310,plain,
( multiply(X,divide(X_55,X_56)) != divide(X,divide(X_56,X_55))
| divide(X,divide(X_56,X_55)) = multiply(X,divide(X_55,X_56)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,divide(X_55,X_56)))),bind(Y0,$fot(divide(X,divide(X_56,X_55))))]]) ).
cnf(refute_0_311,plain,
divide(X,divide(X_56,X_55)) = multiply(X,divide(X_55,X_56)),
inference(resolve,[$cnf( $equal(multiply(X,divide(X_55,X_56)),divide(X,divide(X_56,X_55))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
divide(multiply(X,X_26),divide(X,Y)) = multiply(multiply(X,X_26),divide(Y,X)),
inference(subst,[],[refute_0_311:[bind(X,$fot(multiply(X,X_26))),bind(X_55,$fot(Y)),bind(X_56,$fot(X))]]) ).
cnf(refute_0_313,plain,
( divide(multiply(X,X_26),divide(X,Y)) != multiply(X_26,Y)
| divide(multiply(X,X_26),divide(X,Y)) != multiply(multiply(X,X_26),divide(Y,X))
| multiply(multiply(X,X_26),divide(Y,X)) = multiply(X_26,Y) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X,X_26),divide(X,Y)),multiply(X_26,Y)) ),[0],$fot(multiply(multiply(X,X_26),divide(Y,X)))]]) ).
cnf(refute_0_314,plain,
( divide(multiply(X,X_26),divide(X,Y)) != multiply(X_26,Y)
| multiply(multiply(X,X_26),divide(Y,X)) = multiply(X_26,Y) ),
inference(resolve,[$cnf( $equal(divide(multiply(X,X_26),divide(X,Y)),multiply(multiply(X,X_26),divide(Y,X))) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
multiply(multiply(X,X_26),divide(Y,X)) = multiply(X_26,Y),
inference(resolve,[$cnf( $equal(divide(multiply(X,X_26),divide(X,Y)),multiply(X_26,Y)) )],[refute_0_90,refute_0_314]) ).
cnf(refute_0_316,plain,
multiply(multiply(multiply(X_91,X_46),X_92),divide(X_91,multiply(X_91,X_46))) = multiply(X_92,X_91),
inference(subst,[],[refute_0_315:[bind(X,$fot(multiply(X_91,X_46))),bind(Y,$fot(X_91)),bind(X_26,$fot(X_92))]]) ).
cnf(refute_0_317,plain,
divide(X_91,multiply(X_91,X_46)) = inverse(X_46),
inference(subst,[],[refute_0_252:[bind(X_44,$fot(X_91))]]) ).
cnf(refute_0_318,plain,
( multiply(multiply(multiply(X_91,X_46),X_92),divide(X_91,multiply(X_91,X_46))) != multiply(X_92,X_91)
| divide(X_91,multiply(X_91,X_46)) != inverse(X_46)
| multiply(multiply(multiply(X_91,X_46),X_92),inverse(X_46)) = multiply(X_92,X_91) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_91,X_46),X_92),divide(X_91,multiply(X_91,X_46))),multiply(X_92,X_91)) ),[0,1],$fot(inverse(X_46))]]) ).
cnf(refute_0_319,plain,
( multiply(multiply(multiply(X_91,X_46),X_92),divide(X_91,multiply(X_91,X_46))) != multiply(X_92,X_91)
| multiply(multiply(multiply(X_91,X_46),X_92),inverse(X_46)) = multiply(X_92,X_91) ),
inference(resolve,[$cnf( $equal(divide(X_91,multiply(X_91,X_46)),inverse(X_46)) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
multiply(multiply(multiply(X_91,X_46),X_92),inverse(X_46)) = multiply(X_92,X_91),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_91,X_46),X_92),divide(X_91,multiply(X_91,X_46))),multiply(X_92,X_91)) )],[refute_0_316,refute_0_319]) ).
cnf(refute_0_321,plain,
divide(multiply(divide(X_74,X_76),divide(multiply(X_75,X_76),X_74)),divide(X_74,X_76)) = divide(multiply(X_75,X_76),X_74),
inference(subst,[],[refute_0_155:[bind(X_4,$fot(divide(X_74,X_76))),bind(X_6,$fot(divide(multiply(X_75,X_76),X_74)))]]) ).
cnf(refute_0_322,plain,
divide(divide(X,divide(multiply(Z,X_52),Z)),divide(X,multiply(Z,X_52))) = Z,
inference(subst,[],[single_axiom:[bind(Y,$fot(multiply(Z,X_52)))]]) ).
cnf(refute_0_323,plain,
divide(multiply(Z,X_52),Z) = X_52,
inference(subst,[],[refute_0_155:[bind(X_4,$fot(Z)),bind(X_6,$fot(X_52))]]) ).
cnf(refute_0_324,plain,
( divide(multiply(Z,X_52),Z) != X_52
| divide(divide(X,divide(multiply(Z,X_52),Z)),divide(X,multiply(Z,X_52))) != Z
| divide(divide(X,X_52),divide(X,multiply(Z,X_52))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,divide(multiply(Z,X_52),Z)),divide(X,multiply(Z,X_52))),Z) ),[0,0,1],$fot(X_52)]]) ).
cnf(refute_0_325,plain,
( divide(divide(X,divide(multiply(Z,X_52),Z)),divide(X,multiply(Z,X_52))) != Z
| divide(divide(X,X_52),divide(X,multiply(Z,X_52))) = Z ),
inference(resolve,[$cnf( $equal(divide(multiply(Z,X_52),Z),X_52) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
divide(divide(X,X_52),divide(X,multiply(Z,X_52))) = Z,
inference(resolve,[$cnf( $equal(divide(divide(X,divide(multiply(Z,X_52),Z)),divide(X,multiply(Z,X_52))),Z) )],[refute_0_322,refute_0_325]) ).
cnf(refute_0_327,plain,
divide(divide(X,X_52),divide(X,multiply(Z,X_52))) = multiply(divide(X,X_52),divide(multiply(Z,X_52),X)),
inference(subst,[],[refute_0_311:[bind(X,$fot(divide(X,X_52))),bind(X_55,$fot(multiply(Z,X_52))),bind(X_56,$fot(X))]]) ).
cnf(refute_0_328,plain,
( divide(divide(X,X_52),divide(X,multiply(Z,X_52))) != Z
| divide(divide(X,X_52),divide(X,multiply(Z,X_52))) != multiply(divide(X,X_52),divide(multiply(Z,X_52),X))
| multiply(divide(X,X_52),divide(multiply(Z,X_52),X)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,X_52),divide(X,multiply(Z,X_52))),Z) ),[0],$fot(multiply(divide(X,X_52),divide(multiply(Z,X_52),X)))]]) ).
cnf(refute_0_329,plain,
( divide(divide(X,X_52),divide(X,multiply(Z,X_52))) != Z
| multiply(divide(X,X_52),divide(multiply(Z,X_52),X)) = Z ),
inference(resolve,[$cnf( $equal(divide(divide(X,X_52),divide(X,multiply(Z,X_52))),multiply(divide(X,X_52),divide(multiply(Z,X_52),X))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
multiply(divide(X,X_52),divide(multiply(Z,X_52),X)) = Z,
inference(resolve,[$cnf( $equal(divide(divide(X,X_52),divide(X,multiply(Z,X_52))),Z) )],[refute_0_326,refute_0_329]) ).
cnf(refute_0_331,plain,
multiply(divide(X_74,X_76),divide(multiply(X_75,X_76),X_74)) = X_75,
inference(subst,[],[refute_0_330:[bind(X,$fot(X_74)),bind(Z,$fot(X_75)),bind(X_52,$fot(X_76))]]) ).
cnf(refute_0_332,plain,
( multiply(divide(X_74,X_76),divide(multiply(X_75,X_76),X_74)) != X_75
| divide(multiply(divide(X_74,X_76),divide(multiply(X_75,X_76),X_74)),divide(X_74,X_76)) != divide(multiply(X_75,X_76),X_74)
| divide(X_75,divide(X_74,X_76)) = divide(multiply(X_75,X_76),X_74) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(X_74,X_76),divide(multiply(X_75,X_76),X_74)),divide(X_74,X_76)),divide(multiply(X_75,X_76),X_74)) ),[0,0],$fot(X_75)]]) ).
cnf(refute_0_333,plain,
( divide(multiply(divide(X_74,X_76),divide(multiply(X_75,X_76),X_74)),divide(X_74,X_76)) != divide(multiply(X_75,X_76),X_74)
| divide(X_75,divide(X_74,X_76)) = divide(multiply(X_75,X_76),X_74) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_74,X_76),divide(multiply(X_75,X_76),X_74)),X_75) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
divide(X_75,divide(X_74,X_76)) = divide(multiply(X_75,X_76),X_74),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_74,X_76),divide(multiply(X_75,X_76),X_74)),divide(X_74,X_76)),divide(multiply(X_75,X_76),X_74)) )],[refute_0_321,refute_0_333]) ).
cnf(refute_0_335,plain,
divide(X_75,divide(X_74,X_76)) = multiply(X_75,divide(X_76,X_74)),
inference(subst,[],[refute_0_311:[bind(X,$fot(X_75)),bind(X_55,$fot(X_76)),bind(X_56,$fot(X_74))]]) ).
cnf(refute_0_336,plain,
( divide(X_75,divide(X_74,X_76)) != multiply(X_75,divide(X_76,X_74))
| divide(X_75,divide(X_74,X_76)) != divide(multiply(X_75,X_76),X_74)
| multiply(X_75,divide(X_76,X_74)) = divide(multiply(X_75,X_76),X_74) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_75,divide(X_74,X_76)),divide(multiply(X_75,X_76),X_74)) ),[0],$fot(multiply(X_75,divide(X_76,X_74)))]]) ).
cnf(refute_0_337,plain,
( divide(X_75,divide(X_74,X_76)) != divide(multiply(X_75,X_76),X_74)
| multiply(X_75,divide(X_76,X_74)) = divide(multiply(X_75,X_76),X_74) ),
inference(resolve,[$cnf( $equal(divide(X_75,divide(X_74,X_76)),multiply(X_75,divide(X_76,X_74))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
multiply(X_75,divide(X_76,X_74)) = divide(multiply(X_75,X_76),X_74),
inference(resolve,[$cnf( $equal(divide(X_75,divide(X_74,X_76)),divide(multiply(X_75,X_76),X_74)) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
( multiply(X_75,divide(X_76,X_74)) != divide(multiply(X_75,X_76),X_74)
| divide(multiply(X_75,X_76),X_74) = multiply(X_75,divide(X_76,X_74)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_75,divide(X_76,X_74)))),bind(Y0,$fot(divide(multiply(X_75,X_76),X_74)))]]) ).
cnf(refute_0_340,plain,
divide(multiply(X_75,X_76),X_74) = multiply(X_75,divide(X_76,X_74)),
inference(resolve,[$cnf( $equal(multiply(X_75,divide(X_76,X_74)),divide(multiply(X_75,X_76),X_74)) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
divide(multiply(multiply(X_91,X_46),X_92),X_46) = multiply(multiply(X_91,X_46),divide(X_92,X_46)),
inference(subst,[],[refute_0_340:[bind(X_74,$fot(X_46)),bind(X_75,$fot(multiply(X_91,X_46))),bind(X_76,$fot(X_92))]]) ).
cnf(refute_0_342,plain,
multiply(inverse(X_46),multiply(multiply(X_91,X_46),X_92)) = divide(multiply(multiply(X_91,X_46),X_92),X_46),
inference(subst,[],[refute_0_291:[bind(X_48,$fot(multiply(multiply(X_91,X_46),X_92))),bind(X_8,$fot(X_46))]]) ).
cnf(refute_0_343,plain,
( multiply(inverse(X_46),multiply(multiply(X_91,X_46),X_92)) != divide(multiply(multiply(X_91,X_46),X_92),X_46)
| divide(multiply(multiply(X_91,X_46),X_92),X_46) != multiply(multiply(X_91,X_46),divide(X_92,X_46))
| multiply(inverse(X_46),multiply(multiply(X_91,X_46),X_92)) = multiply(multiply(X_91,X_46),divide(X_92,X_46)) ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(multiply(inverse(X_46),multiply(multiply(X_91,X_46),X_92)))),bind(Y0,$fot(divide(multiply(multiply(X_91,X_46),X_92),X_46))),bind(Z0,$fot(multiply(multiply(X_91,X_46),divide(X_92,X_46))))]]) ).
cnf(refute_0_344,plain,
( divide(multiply(multiply(X_91,X_46),X_92),X_46) != multiply(multiply(X_91,X_46),divide(X_92,X_46))
| multiply(inverse(X_46),multiply(multiply(X_91,X_46),X_92)) = multiply(multiply(X_91,X_46),divide(X_92,X_46)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_46),multiply(multiply(X_91,X_46),X_92)),divide(multiply(multiply(X_91,X_46),X_92),X_46)) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
multiply(inverse(X_46),multiply(multiply(X_91,X_46),X_92)) = multiply(multiply(X_91,X_46),divide(X_92,X_46)),
inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_91,X_46),X_92),X_46),multiply(multiply(X_91,X_46),divide(X_92,X_46))) )],[refute_0_341,refute_0_344]) ).
cnf(refute_0_346,plain,
divide(divide(multiply(divide(Y,Z),X_52),divide(Y,Z)),divide(multiply(divide(Y,Z),X_52),Y)) = Z,
inference(subst,[],[single_axiom:[bind(X,$fot(multiply(divide(Y,Z),X_52)))]]) ).
cnf(refute_0_347,plain,
divide(multiply(divide(Y,Z),X_52),divide(Y,Z)) = X_52,
inference(subst,[],[refute_0_155:[bind(X_4,$fot(divide(Y,Z))),bind(X_6,$fot(X_52))]]) ).
cnf(refute_0_348,plain,
( divide(multiply(divide(Y,Z),X_52),divide(Y,Z)) != X_52
| divide(divide(multiply(divide(Y,Z),X_52),divide(Y,Z)),divide(multiply(divide(Y,Z),X_52),Y)) != Z
| divide(X_52,divide(multiply(divide(Y,Z),X_52),Y)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(multiply(divide(Y,Z),X_52),divide(Y,Z)),divide(multiply(divide(Y,Z),X_52),Y)),Z) ),[0,0],$fot(X_52)]]) ).
cnf(refute_0_349,plain,
( divide(divide(multiply(divide(Y,Z),X_52),divide(Y,Z)),divide(multiply(divide(Y,Z),X_52),Y)) != Z
| divide(X_52,divide(multiply(divide(Y,Z),X_52),Y)) = Z ),
inference(resolve,[$cnf( $equal(divide(multiply(divide(Y,Z),X_52),divide(Y,Z)),X_52) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
divide(X_52,divide(multiply(divide(Y,Z),X_52),Y)) = Z,
inference(resolve,[$cnf( $equal(divide(divide(multiply(divide(Y,Z),X_52),divide(Y,Z)),divide(multiply(divide(Y,Z),X_52),Y)),Z) )],[refute_0_346,refute_0_349]) ).
cnf(refute_0_351,plain,
divide(X_52,divide(multiply(divide(Y,Z),X_52),Y)) = multiply(X_52,divide(Y,multiply(divide(Y,Z),X_52))),
inference(subst,[],[refute_0_311:[bind(X,$fot(X_52)),bind(X_55,$fot(Y)),bind(X_56,$fot(multiply(divide(Y,Z),X_52)))]]) ).
cnf(refute_0_352,plain,
( divide(X_52,divide(multiply(divide(Y,Z),X_52),Y)) != Z
| divide(X_52,divide(multiply(divide(Y,Z),X_52),Y)) != multiply(X_52,divide(Y,multiply(divide(Y,Z),X_52)))
| multiply(X_52,divide(Y,multiply(divide(Y,Z),X_52))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_52,divide(multiply(divide(Y,Z),X_52),Y)),Z) ),[0],$fot(multiply(X_52,divide(Y,multiply(divide(Y,Z),X_52))))]]) ).
cnf(refute_0_353,plain,
( divide(X_52,divide(multiply(divide(Y,Z),X_52),Y)) != Z
| multiply(X_52,divide(Y,multiply(divide(Y,Z),X_52))) = Z ),
inference(resolve,[$cnf( $equal(divide(X_52,divide(multiply(divide(Y,Z),X_52),Y)),multiply(X_52,divide(Y,multiply(divide(Y,Z),X_52)))) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
multiply(X_52,divide(Y,multiply(divide(Y,Z),X_52))) = Z,
inference(resolve,[$cnf( $equal(divide(X_52,divide(multiply(divide(Y,Z),X_52),Y)),Z) )],[refute_0_350,refute_0_353]) ).
cnf(refute_0_355,plain,
multiply(X_73,divide(X_71,multiply(divide(X_71,multiply(Y,X_71)),X_73))) = multiply(Y,X_71),
inference(subst,[],[refute_0_354:[bind(Y,$fot(X_71)),bind(Z,$fot(multiply(Y,X_71))),bind(X_52,$fot(X_73))]]) ).
cnf(refute_0_356,plain,
divide(X_71,multiply(Y,X_71)) = inverse(Y),
inference(subst,[],[refute_0_78:[bind(X_24,$fot(X_71))]]) ).
cnf(refute_0_357,plain,
( multiply(X_73,divide(X_71,multiply(divide(X_71,multiply(Y,X_71)),X_73))) != multiply(Y,X_71)
| divide(X_71,multiply(Y,X_71)) != inverse(Y)
| multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))) = multiply(Y,X_71) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_73,divide(X_71,multiply(divide(X_71,multiply(Y,X_71)),X_73))),multiply(Y,X_71)) ),[0,1,1,0],$fot(inverse(Y))]]) ).
cnf(refute_0_358,plain,
( multiply(X_73,divide(X_71,multiply(divide(X_71,multiply(Y,X_71)),X_73))) != multiply(Y,X_71)
| multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))) = multiply(Y,X_71) ),
inference(resolve,[$cnf( $equal(divide(X_71,multiply(Y,X_71)),inverse(Y)) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))) = multiply(Y,X_71),
inference(resolve,[$cnf( $equal(multiply(X_73,divide(X_71,multiply(divide(X_71,multiply(Y,X_71)),X_73))),multiply(Y,X_71)) )],[refute_0_355,refute_0_358]) ).
cnf(refute_0_360,plain,
multiply(X_73,divide(X_71,multiply(divide(X_71,multiply(X_71,X_46)),X_73))) = multiply(X_71,X_46),
inference(subst,[],[refute_0_354:[bind(Y,$fot(X_71)),bind(Z,$fot(multiply(X_71,X_46))),bind(X_52,$fot(X_73))]]) ).
cnf(refute_0_361,plain,
divide(X_71,multiply(X_71,X_46)) = inverse(X_46),
inference(subst,[],[refute_0_252:[bind(X_44,$fot(X_71))]]) ).
cnf(refute_0_362,plain,
( multiply(X_73,divide(X_71,multiply(divide(X_71,multiply(X_71,X_46)),X_73))) != multiply(X_71,X_46)
| divide(X_71,multiply(X_71,X_46)) != inverse(X_46)
| multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73))) = multiply(X_71,X_46) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_73,divide(X_71,multiply(divide(X_71,multiply(X_71,X_46)),X_73))),multiply(X_71,X_46)) ),[0,1,1,0],$fot(inverse(X_46))]]) ).
cnf(refute_0_363,plain,
( multiply(X_73,divide(X_71,multiply(divide(X_71,multiply(X_71,X_46)),X_73))) != multiply(X_71,X_46)
| multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73))) = multiply(X_71,X_46) ),
inference(resolve,[$cnf( $equal(divide(X_71,multiply(X_71,X_46)),inverse(X_46)) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73))) = multiply(X_71,X_46),
inference(resolve,[$cnf( $equal(multiply(X_73,divide(X_71,multiply(divide(X_71,multiply(X_71,X_46)),X_73))),multiply(X_71,X_46)) )],[refute_0_360,refute_0_363]) ).
cnf(refute_0_365,plain,
divide(X_71,divide(X_73,X_46)) = multiply(X_71,divide(X_46,X_73)),
inference(subst,[],[refute_0_311:[bind(X,$fot(X_71)),bind(X_55,$fot(X_46)),bind(X_56,$fot(X_73))]]) ).
cnf(refute_0_366,plain,
multiply(inverse(X_46),X_73) = divide(X_73,X_46),
inference(subst,[],[refute_0_291:[bind(X_48,$fot(X_73)),bind(X_8,$fot(X_46))]]) ).
cnf(refute_0_367,plain,
divide(X_71,multiply(inverse(X_46),X_73)) = divide(X_71,multiply(inverse(X_46),X_73)),
introduced(tautology,[refl,[$fot(divide(X_71,multiply(inverse(X_46),X_73)))]]) ).
cnf(refute_0_368,plain,
( multiply(inverse(X_46),X_73) != divide(X_73,X_46)
| divide(X_71,multiply(inverse(X_46),X_73)) != divide(X_71,multiply(inverse(X_46),X_73))
| divide(X_71,multiply(inverse(X_46),X_73)) = divide(X_71,divide(X_73,X_46)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_71,multiply(inverse(X_46),X_73)),divide(X_71,multiply(inverse(X_46),X_73))) ),[1,1],$fot(divide(X_73,X_46))]]) ).
cnf(refute_0_369,plain,
( multiply(inverse(X_46),X_73) != divide(X_73,X_46)
| divide(X_71,multiply(inverse(X_46),X_73)) = divide(X_71,divide(X_73,X_46)) ),
inference(resolve,[$cnf( $equal(divide(X_71,multiply(inverse(X_46),X_73)),divide(X_71,multiply(inverse(X_46),X_73))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
divide(X_71,multiply(inverse(X_46),X_73)) = divide(X_71,divide(X_73,X_46)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_46),X_73),divide(X_73,X_46)) )],[refute_0_366,refute_0_369]) ).
cnf(refute_0_371,plain,
( divide(X_71,multiply(inverse(X_46),X_73)) != divide(X_71,divide(X_73,X_46))
| divide(X_71,divide(X_73,X_46)) != multiply(X_71,divide(X_46,X_73))
| divide(X_71,multiply(inverse(X_46),X_73)) = multiply(X_71,divide(X_46,X_73)) ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(divide(X_71,multiply(inverse(X_46),X_73)))),bind(Y0,$fot(divide(X_71,divide(X_73,X_46)))),bind(Z0,$fot(multiply(X_71,divide(X_46,X_73))))]]) ).
cnf(refute_0_372,plain,
( divide(X_71,divide(X_73,X_46)) != multiply(X_71,divide(X_46,X_73))
| divide(X_71,multiply(inverse(X_46),X_73)) = multiply(X_71,divide(X_46,X_73)) ),
inference(resolve,[$cnf( $equal(divide(X_71,multiply(inverse(X_46),X_73)),divide(X_71,divide(X_73,X_46))) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
divide(X_71,multiply(inverse(X_46),X_73)) = multiply(X_71,divide(X_46,X_73)),
inference(resolve,[$cnf( $equal(divide(X_71,divide(X_73,X_46)),multiply(X_71,divide(X_46,X_73))) )],[refute_0_365,refute_0_372]) ).
cnf(refute_0_374,plain,
multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73))) = multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73))),
introduced(tautology,[refl,[$fot(multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73))))]]) ).
cnf(refute_0_375,plain,
( multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73))) != multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73)))
| divide(X_71,multiply(inverse(X_46),X_73)) != multiply(X_71,divide(X_46,X_73))
| multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73))) = multiply(X_73,multiply(X_71,divide(X_46,X_73))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73))),multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73)))) ),[1,1],$fot(multiply(X_71,divide(X_46,X_73)))]]) ).
cnf(refute_0_376,plain,
( divide(X_71,multiply(inverse(X_46),X_73)) != multiply(X_71,divide(X_46,X_73))
| multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73))) = multiply(X_73,multiply(X_71,divide(X_46,X_73))) ),
inference(resolve,[$cnf( $equal(multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73))),multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73)))) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73))) = multiply(X_73,multiply(X_71,divide(X_46,X_73))),
inference(resolve,[$cnf( $equal(divide(X_71,multiply(inverse(X_46),X_73)),multiply(X_71,divide(X_46,X_73))) )],[refute_0_373,refute_0_376]) ).
cnf(refute_0_378,plain,
( multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73))) != multiply(X_71,X_46)
| multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73))) != multiply(X_73,multiply(X_71,divide(X_46,X_73)))
| multiply(X_73,multiply(X_71,divide(X_46,X_73))) = multiply(X_71,X_46) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73))),multiply(X_71,X_46)) ),[0],$fot(multiply(X_73,multiply(X_71,divide(X_46,X_73))))]]) ).
cnf(refute_0_379,plain,
( multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73))) != multiply(X_71,X_46)
| multiply(X_73,multiply(X_71,divide(X_46,X_73))) = multiply(X_71,X_46) ),
inference(resolve,[$cnf( $equal(multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73))),multiply(X_73,multiply(X_71,divide(X_46,X_73)))) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
multiply(X_73,multiply(X_71,divide(X_46,X_73))) = multiply(X_71,X_46),
inference(resolve,[$cnf( $equal(multiply(X_73,divide(X_71,multiply(inverse(X_46),X_73))),multiply(X_71,X_46)) )],[refute_0_364,refute_0_379]) ).
cnf(refute_0_381,plain,
multiply(X_73,multiply(X_71,divide(Y,X_73))) = multiply(X_71,Y),
inference(subst,[],[refute_0_380:[bind(X_46,$fot(Y))]]) ).
cnf(refute_0_382,plain,
divide(X_71,divide(X_73,Y)) = multiply(X_71,divide(Y,X_73)),
inference(subst,[],[refute_0_311:[bind(X,$fot(X_71)),bind(X_55,$fot(Y)),bind(X_56,$fot(X_73))]]) ).
cnf(refute_0_383,plain,
multiply(inverse(Y),X_73) = divide(X_73,Y),
inference(subst,[],[refute_0_291:[bind(X_48,$fot(X_73)),bind(X_8,$fot(Y))]]) ).
cnf(refute_0_384,plain,
divide(X_71,multiply(inverse(Y),X_73)) = divide(X_71,multiply(inverse(Y),X_73)),
introduced(tautology,[refl,[$fot(divide(X_71,multiply(inverse(Y),X_73)))]]) ).
cnf(refute_0_385,plain,
( multiply(inverse(Y),X_73) != divide(X_73,Y)
| divide(X_71,multiply(inverse(Y),X_73)) != divide(X_71,multiply(inverse(Y),X_73))
| divide(X_71,multiply(inverse(Y),X_73)) = divide(X_71,divide(X_73,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_71,multiply(inverse(Y),X_73)),divide(X_71,multiply(inverse(Y),X_73))) ),[1,1],$fot(divide(X_73,Y))]]) ).
cnf(refute_0_386,plain,
( multiply(inverse(Y),X_73) != divide(X_73,Y)
| divide(X_71,multiply(inverse(Y),X_73)) = divide(X_71,divide(X_73,Y)) ),
inference(resolve,[$cnf( $equal(divide(X_71,multiply(inverse(Y),X_73)),divide(X_71,multiply(inverse(Y),X_73))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
divide(X_71,multiply(inverse(Y),X_73)) = divide(X_71,divide(X_73,Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),X_73),divide(X_73,Y)) )],[refute_0_383,refute_0_386]) ).
cnf(refute_0_388,plain,
( divide(X_71,multiply(inverse(Y),X_73)) != divide(X_71,divide(X_73,Y))
| divide(X_71,divide(X_73,Y)) != multiply(X_71,divide(Y,X_73))
| divide(X_71,multiply(inverse(Y),X_73)) = multiply(X_71,divide(Y,X_73)) ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(divide(X_71,multiply(inverse(Y),X_73)))),bind(Y0,$fot(divide(X_71,divide(X_73,Y)))),bind(Z0,$fot(multiply(X_71,divide(Y,X_73))))]]) ).
cnf(refute_0_389,plain,
( divide(X_71,divide(X_73,Y)) != multiply(X_71,divide(Y,X_73))
| divide(X_71,multiply(inverse(Y),X_73)) = multiply(X_71,divide(Y,X_73)) ),
inference(resolve,[$cnf( $equal(divide(X_71,multiply(inverse(Y),X_73)),divide(X_71,divide(X_73,Y))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
divide(X_71,multiply(inverse(Y),X_73)) = multiply(X_71,divide(Y,X_73)),
inference(resolve,[$cnf( $equal(divide(X_71,divide(X_73,Y)),multiply(X_71,divide(Y,X_73))) )],[refute_0_382,refute_0_389]) ).
cnf(refute_0_391,plain,
multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))) = multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))),
introduced(tautology,[refl,[$fot(multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))))]]) ).
cnf(refute_0_392,plain,
( multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))) != multiply(X_73,divide(X_71,multiply(inverse(Y),X_73)))
| divide(X_71,multiply(inverse(Y),X_73)) != multiply(X_71,divide(Y,X_73))
| multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))) = multiply(X_73,multiply(X_71,divide(Y,X_73))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))),multiply(X_73,divide(X_71,multiply(inverse(Y),X_73)))) ),[1,1],$fot(multiply(X_71,divide(Y,X_73)))]]) ).
cnf(refute_0_393,plain,
( divide(X_71,multiply(inverse(Y),X_73)) != multiply(X_71,divide(Y,X_73))
| multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))) = multiply(X_73,multiply(X_71,divide(Y,X_73))) ),
inference(resolve,[$cnf( $equal(multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))),multiply(X_73,divide(X_71,multiply(inverse(Y),X_73)))) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))) = multiply(X_73,multiply(X_71,divide(Y,X_73))),
inference(resolve,[$cnf( $equal(divide(X_71,multiply(inverse(Y),X_73)),multiply(X_71,divide(Y,X_73))) )],[refute_0_390,refute_0_393]) ).
cnf(refute_0_395,plain,
( multiply(X_73,multiply(X_71,divide(Y,X_73))) != multiply(X_71,Y)
| multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))) != multiply(X_73,multiply(X_71,divide(Y,X_73)))
| multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))) = multiply(X_71,Y) ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))))),bind(Y0,$fot(multiply(X_73,multiply(X_71,divide(Y,X_73))))),bind(Z0,$fot(multiply(X_71,Y)))]]) ).
cnf(refute_0_396,plain,
( multiply(X_73,multiply(X_71,divide(Y,X_73))) != multiply(X_71,Y)
| multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))) = multiply(X_71,Y) ),
inference(resolve,[$cnf( $equal(multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))),multiply(X_73,multiply(X_71,divide(Y,X_73)))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))) = multiply(X_71,Y),
inference(resolve,[$cnf( $equal(multiply(X_73,multiply(X_71,divide(Y,X_73))),multiply(X_71,Y)) )],[refute_0_381,refute_0_396]) ).
cnf(refute_0_398,plain,
( multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))) != multiply(Y,X_71)
| multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))) != multiply(X_71,Y)
| multiply(X_71,Y) = multiply(Y,X_71) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))),multiply(Y,X_71)) ),[0],$fot(multiply(X_71,Y))]]) ).
cnf(refute_0_399,plain,
( multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))) != multiply(Y,X_71)
| multiply(X_71,Y) = multiply(Y,X_71) ),
inference(resolve,[$cnf( $equal(multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))),multiply(X_71,Y)) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
multiply(X_71,Y) = multiply(Y,X_71),
inference(resolve,[$cnf( $equal(multiply(X_73,divide(X_71,multiply(inverse(Y),X_73))),multiply(Y,X_71)) )],[refute_0_359,refute_0_399]) ).
cnf(refute_0_401,plain,
( multiply(X_71,Y) != multiply(Y,X_71)
| multiply(Y,X_71) = multiply(X_71,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_71,Y))),bind(Y0,$fot(multiply(Y,X_71)))]]) ).
cnf(refute_0_402,plain,
multiply(Y,X_71) = multiply(X_71,Y),
inference(resolve,[$cnf( $equal(multiply(X_71,Y),multiply(Y,X_71)) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
multiply(multiply(multiply(X_91,X_46),X_92),inverse(X_46)) = multiply(inverse(X_46),multiply(multiply(X_91,X_46),X_92)),
inference(subst,[],[refute_0_402:[bind(Y,$fot(multiply(multiply(X_91,X_46),X_92))),bind(X_71,$fot(inverse(X_46)))]]) ).
cnf(refute_0_404,plain,
( multiply(multiply(multiply(X_91,X_46),X_92),inverse(X_46)) != multiply(inverse(X_46),multiply(multiply(X_91,X_46),X_92))
| multiply(inverse(X_46),multiply(multiply(X_91,X_46),X_92)) != multiply(multiply(X_91,X_46),divide(X_92,X_46))
| multiply(multiply(multiply(X_91,X_46),X_92),inverse(X_46)) = multiply(multiply(X_91,X_46),divide(X_92,X_46)) ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(multiply(multiply(multiply(X_91,X_46),X_92),inverse(X_46)))),bind(Y0,$fot(multiply(inverse(X_46),multiply(multiply(X_91,X_46),X_92)))),bind(Z0,$fot(multiply(multiply(X_91,X_46),divide(X_92,X_46))))]]) ).
cnf(refute_0_405,plain,
( multiply(inverse(X_46),multiply(multiply(X_91,X_46),X_92)) != multiply(multiply(X_91,X_46),divide(X_92,X_46))
| multiply(multiply(multiply(X_91,X_46),X_92),inverse(X_46)) = multiply(multiply(X_91,X_46),divide(X_92,X_46)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_91,X_46),X_92),inverse(X_46)),multiply(inverse(X_46),multiply(multiply(X_91,X_46),X_92))) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
multiply(multiply(multiply(X_91,X_46),X_92),inverse(X_46)) = multiply(multiply(X_91,X_46),divide(X_92,X_46)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_46),multiply(multiply(X_91,X_46),X_92)),multiply(multiply(X_91,X_46),divide(X_92,X_46))) )],[refute_0_345,refute_0_405]) ).
cnf(refute_0_407,plain,
( multiply(multiply(multiply(X_91,X_46),X_92),inverse(X_46)) != multiply(X_92,X_91)
| multiply(multiply(multiply(X_91,X_46),X_92),inverse(X_46)) != multiply(multiply(X_91,X_46),divide(X_92,X_46))
| multiply(multiply(X_91,X_46),divide(X_92,X_46)) = multiply(X_92,X_91) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_91,X_46),X_92),inverse(X_46)),multiply(X_92,X_91)) ),[0],$fot(multiply(multiply(X_91,X_46),divide(X_92,X_46)))]]) ).
cnf(refute_0_408,plain,
( multiply(multiply(multiply(X_91,X_46),X_92),inverse(X_46)) != multiply(X_92,X_91)
| multiply(multiply(X_91,X_46),divide(X_92,X_46)) = multiply(X_92,X_91) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_91,X_46),X_92),inverse(X_46)),multiply(multiply(X_91,X_46),divide(X_92,X_46))) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
multiply(multiply(X_91,X_46),divide(X_92,X_46)) = multiply(X_92,X_91),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_91,X_46),X_92),inverse(X_46)),multiply(X_92,X_91)) )],[refute_0_320,refute_0_408]) ).
cnf(refute_0_410,plain,
multiply(inverse(divide(divide(X_6,X_22),X_6)),divide(X_6,X_22)) = X_6,
inference(subst,[],[refute_0_54:[bind(X_5,$fot(divide(X_6,X_22)))]]) ).
cnf(refute_0_411,plain,
inverse(divide(divide(X_6,X_22),X_6)) = X_22,
inference(subst,[],[refute_0_18:[bind(X_5,$fot(X_6)),bind(X_6,$fot(X_22))]]) ).
cnf(refute_0_412,plain,
( multiply(inverse(divide(divide(X_6,X_22),X_6)),divide(X_6,X_22)) != X_6
| inverse(divide(divide(X_6,X_22),X_6)) != X_22
| multiply(X_22,divide(X_6,X_22)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(divide(X_6,X_22),X_6)),divide(X_6,X_22)),X_6) ),[0,0],$fot(X_22)]]) ).
cnf(refute_0_413,plain,
( multiply(inverse(divide(divide(X_6,X_22),X_6)),divide(X_6,X_22)) != X_6
| multiply(X_22,divide(X_6,X_22)) = X_6 ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_6,X_22),X_6)),X_22) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
multiply(X_22,divide(X_6,X_22)) = X_6,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(X_6,X_22),X_6)),divide(X_6,X_22)),X_6) )],[refute_0_410,refute_0_413]) ).
cnf(refute_0_415,plain,
multiply(X_46,divide(X_92,X_46)) = X_92,
inference(subst,[],[refute_0_414:[bind(X_22,$fot(X_46)),bind(X_6,$fot(X_92))]]) ).
cnf(refute_0_416,plain,
multiply(X_91,multiply(X_46,divide(X_92,X_46))) = multiply(X_91,multiply(X_46,divide(X_92,X_46))),
introduced(tautology,[refl,[$fot(multiply(X_91,multiply(X_46,divide(X_92,X_46))))]]) ).
cnf(refute_0_417,plain,
( multiply(X_46,divide(X_92,X_46)) != X_92
| multiply(X_91,multiply(X_46,divide(X_92,X_46))) != multiply(X_91,multiply(X_46,divide(X_92,X_46)))
| multiply(X_91,multiply(X_46,divide(X_92,X_46))) = multiply(X_91,X_92) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_91,multiply(X_46,divide(X_92,X_46))),multiply(X_91,multiply(X_46,divide(X_92,X_46)))) ),[1,1],$fot(X_92)]]) ).
cnf(refute_0_418,plain,
( multiply(X_46,divide(X_92,X_46)) != X_92
| multiply(X_91,multiply(X_46,divide(X_92,X_46))) = multiply(X_91,X_92) ),
inference(resolve,[$cnf( $equal(multiply(X_91,multiply(X_46,divide(X_92,X_46))),multiply(X_91,multiply(X_46,divide(X_92,X_46)))) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
multiply(X_91,multiply(X_46,divide(X_92,X_46))) = multiply(X_91,X_92),
inference(resolve,[$cnf( $equal(multiply(X_46,divide(X_92,X_46)),X_92) )],[refute_0_415,refute_0_418]) ).
cnf(refute_0_420,plain,
multiply(X_98,multiply(multiply(X_98,X_26),divide(X_96,X_98))) = multiply(multiply(X_98,X_26),X_96),
inference(subst,[],[refute_0_380:[bind(X_46,$fot(X_96)),bind(X_71,$fot(multiply(X_98,X_26))),bind(X_73,$fot(X_98))]]) ).
cnf(refute_0_421,plain,
multiply(multiply(X_98,X_26),divide(X_96,X_98)) = multiply(X_26,X_96),
inference(subst,[],[refute_0_315:[bind(X,$fot(X_98)),bind(Y,$fot(X_96))]]) ).
cnf(refute_0_422,plain,
( multiply(X_98,multiply(multiply(X_98,X_26),divide(X_96,X_98))) != multiply(multiply(X_98,X_26),X_96)
| multiply(multiply(X_98,X_26),divide(X_96,X_98)) != multiply(X_26,X_96)
| multiply(X_98,multiply(X_26,X_96)) = multiply(multiply(X_98,X_26),X_96) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_98,multiply(multiply(X_98,X_26),divide(X_96,X_98))),multiply(multiply(X_98,X_26),X_96)) ),[0,1],$fot(multiply(X_26,X_96))]]) ).
cnf(refute_0_423,plain,
( multiply(X_98,multiply(multiply(X_98,X_26),divide(X_96,X_98))) != multiply(multiply(X_98,X_26),X_96)
| multiply(X_98,multiply(X_26,X_96)) = multiply(multiply(X_98,X_26),X_96) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_98,X_26),divide(X_96,X_98)),multiply(X_26,X_96)) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
multiply(X_98,multiply(X_26,X_96)) = multiply(multiply(X_98,X_26),X_96),
inference(resolve,[$cnf( $equal(multiply(X_98,multiply(multiply(X_98,X_26),divide(X_96,X_98))),multiply(multiply(X_98,X_26),X_96)) )],[refute_0_420,refute_0_423]) ).
cnf(refute_0_425,plain,
( multiply(X_98,multiply(X_26,X_96)) != multiply(multiply(X_98,X_26),X_96)
| multiply(multiply(X_98,X_26),X_96) = multiply(X_98,multiply(X_26,X_96)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_98,multiply(X_26,X_96)))),bind(Y0,$fot(multiply(multiply(X_98,X_26),X_96)))]]) ).
cnf(refute_0_426,plain,
multiply(multiply(X_98,X_26),X_96) = multiply(X_98,multiply(X_26,X_96)),
inference(resolve,[$cnf( $equal(multiply(X_98,multiply(X_26,X_96)),multiply(multiply(X_98,X_26),X_96)) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
multiply(multiply(X_91,X_46),divide(X_92,X_46)) = multiply(X_91,multiply(X_46,divide(X_92,X_46))),
inference(subst,[],[refute_0_426:[bind(X_26,$fot(X_46)),bind(X_96,$fot(divide(X_92,X_46))),bind(X_98,$fot(X_91))]]) ).
cnf(refute_0_428,plain,
( multiply(X_91,multiply(X_46,divide(X_92,X_46))) != multiply(X_91,X_92)
| multiply(multiply(X_91,X_46),divide(X_92,X_46)) != multiply(X_91,multiply(X_46,divide(X_92,X_46)))
| multiply(multiply(X_91,X_46),divide(X_92,X_46)) = multiply(X_91,X_92) ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(multiply(multiply(X_91,X_46),divide(X_92,X_46)))),bind(Y0,$fot(multiply(X_91,multiply(X_46,divide(X_92,X_46))))),bind(Z0,$fot(multiply(X_91,X_92)))]]) ).
cnf(refute_0_429,plain,
( multiply(X_91,multiply(X_46,divide(X_92,X_46))) != multiply(X_91,X_92)
| multiply(multiply(X_91,X_46),divide(X_92,X_46)) = multiply(X_91,X_92) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_91,X_46),divide(X_92,X_46)),multiply(X_91,multiply(X_46,divide(X_92,X_46)))) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
multiply(multiply(X_91,X_46),divide(X_92,X_46)) = multiply(X_91,X_92),
inference(resolve,[$cnf( $equal(multiply(X_91,multiply(X_46,divide(X_92,X_46))),multiply(X_91,X_92)) )],[refute_0_419,refute_0_429]) ).
cnf(refute_0_431,plain,
( multiply(multiply(X_91,X_46),divide(X_92,X_46)) != multiply(X_91,X_92)
| multiply(multiply(X_91,X_46),divide(X_92,X_46)) != multiply(X_92,X_91)
| multiply(X_91,X_92) = multiply(X_92,X_91) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_91,X_46),divide(X_92,X_46)),multiply(X_92,X_91)) ),[0],$fot(multiply(X_91,X_92))]]) ).
cnf(refute_0_432,plain,
( multiply(multiply(X_91,X_46),divide(X_92,X_46)) != multiply(X_92,X_91)
| multiply(X_91,X_92) = multiply(X_92,X_91) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_91,X_46),divide(X_92,X_46)),multiply(X_91,X_92)) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
multiply(X_91,X_92) = multiply(X_92,X_91),
inference(resolve,[$cnf( $equal(multiply(multiply(X_91,X_46),divide(X_92,X_46)),multiply(X_92,X_91)) )],[refute_0_409,refute_0_432]) ).
cnf(refute_0_434,plain,
( multiply(X_91,X_92) != multiply(X_92,X_91)
| multiply(X_92,X_91) = multiply(X_91,X_92) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_91,X_92))),bind(Y0,$fot(multiply(X_92,X_91)))]]) ).
cnf(refute_0_435,plain,
multiply(X_92,X_91) = multiply(X_91,X_92),
inference(resolve,[$cnf( $equal(multiply(X_91,X_92),multiply(X_92,X_91)) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(subst,[],[refute_0_435:[bind(X_91,$fot(a1)),bind(X_92,$fot(inverse(a1)))]]) ).
cnf(refute_0_437,plain,
( multiply(a1,inverse(a1)) != divide(a1,a1)
| multiply(inverse(a1),a1) != multiply(a1,inverse(a1))
| multiply(inverse(a1),a1) = divide(a1,a1) ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(multiply(inverse(a1),a1))),bind(Y0,$fot(multiply(a1,inverse(a1)))),bind(Z0,$fot(divide(a1,a1)))]]) ).
cnf(refute_0_438,plain,
( multiply(a1,inverse(a1)) != divide(a1,a1)
| multiply(inverse(a1),a1) = divide(a1,a1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
multiply(inverse(a1),a1) = divide(a1,a1),
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),divide(a1,a1)) )],[refute_0_30,refute_0_438]) ).
cnf(refute_0_440,plain,
( multiply(inverse(a1),a1) != divide(a1,a1)
| divide(a1,a1) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) ),[0],$fot(divide(a1,a1))]]) ).
cnf(refute_0_441,plain,
( divide(a1,a1) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),divide(a1,a1)) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
multiply(b1,inverse(b1)) = divide(b1,b1),
inference(subst,[],[refute_0_29:[bind(X,$fot(b1)),bind(X_23,$fot(b1))]]) ).
cnf(refute_0_443,plain,
multiply(inverse(b1),b1) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_435:[bind(X_91,$fot(b1)),bind(X_92,$fot(inverse(b1)))]]) ).
cnf(refute_0_444,plain,
( multiply(b1,inverse(b1)) != divide(b1,b1)
| multiply(inverse(b1),b1) != multiply(b1,inverse(b1))
| multiply(inverse(b1),b1) = divide(b1,b1) ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(multiply(inverse(b1),b1))),bind(Y0,$fot(multiply(b1,inverse(b1)))),bind(Z0,$fot(divide(b1,b1)))]]) ).
cnf(refute_0_445,plain,
( multiply(b1,inverse(b1)) != divide(b1,b1)
| multiply(inverse(b1),b1) = divide(b1,b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),multiply(b1,inverse(b1))) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
multiply(inverse(b1),b1) = divide(b1,b1),
inference(resolve,[$cnf( $equal(multiply(b1,inverse(b1)),divide(b1,b1)) )],[refute_0_442,refute_0_445]) ).
cnf(refute_0_447,plain,
( multiply(inverse(b1),b1) != divide(b1,b1)
| divide(a1,a1) != divide(b1,b1)
| divide(a1,a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(a1,a1),multiply(inverse(b1),b1)) ),[1],$fot(divide(b1,b1))]]) ).
cnf(refute_0_448,plain,
( divide(a1,a1) != divide(b1,b1)
| divide(a1,a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),divide(b1,b1)) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
( divide(a1,a1) != divide(b1,b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(divide(a1,a1),multiply(inverse(b1),b1)) )],[refute_0_448,refute_0_441]) ).
cnf(refute_0_450,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a4,b4) != multiply(b4,a4)
| divide(a1,a1) != divide(b1,b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_449,prove_these_axioms]) ).
cnf(refute_0_451,plain,
multiply(b4,a4) = multiply(a4,b4),
inference(subst,[],[refute_0_435:[bind(X_91,$fot(a4)),bind(X_92,$fot(b4))]]) ).
cnf(refute_0_452,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(b4,a4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a4,b4),multiply(b4,a4)) ),[1],$fot(multiply(a4,b4))]]) ).
cnf(refute_0_453,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(b4,a4),multiply(a4,b4)) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a4,b4) != multiply(a4,b4)
| divide(a1,a1) != divide(b1,b1) ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(b4,a4)) )],[refute_0_453,refute_0_450]) ).
cnf(refute_0_455,plain,
multiply(a2,divide(b2,b2)) = a2,
inference(subst,[],[refute_0_147:[bind(Z,$fot(b2)),bind(X_10,$fot(a2))]]) ).
cnf(refute_0_456,plain,
divide(multiply(a2,b2),b2) = multiply(a2,divide(b2,b2)),
inference(subst,[],[refute_0_340:[bind(X_74,$fot(b2)),bind(X_75,$fot(a2)),bind(X_76,$fot(b2))]]) ).
cnf(refute_0_457,plain,
( multiply(a2,divide(b2,b2)) != a2
| divide(multiply(a2,b2),b2) != multiply(a2,divide(b2,b2))
| divide(multiply(a2,b2),b2) = a2 ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(divide(multiply(a2,b2),b2))),bind(Y0,$fot(multiply(a2,divide(b2,b2)))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_458,plain,
( multiply(a2,divide(b2,b2)) != a2
| divide(multiply(a2,b2),b2) = a2 ),
inference(resolve,[$cnf( $equal(divide(multiply(a2,b2),b2),multiply(a2,divide(b2,b2))) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
divide(multiply(a2,b2),b2) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,divide(b2,b2)),a2) )],[refute_0_455,refute_0_458]) ).
cnf(refute_0_460,plain,
multiply(inverse(b2),multiply(a2,b2)) = divide(multiply(a2,b2),b2),
inference(subst,[],[refute_0_291:[bind(X_48,$fot(multiply(a2,b2))),bind(X_8,$fot(b2))]]) ).
cnf(refute_0_461,plain,
( multiply(inverse(b2),multiply(a2,b2)) != divide(multiply(a2,b2),b2)
| divide(multiply(a2,b2),b2) != a2
| multiply(inverse(b2),multiply(a2,b2)) = a2 ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(multiply(inverse(b2),multiply(a2,b2)))),bind(Y0,$fot(divide(multiply(a2,b2),b2))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_462,plain,
( divide(multiply(a2,b2),b2) != a2
| multiply(inverse(b2),multiply(a2,b2)) = a2 ),
inference(resolve,[$cnf( $equal(multiply(inverse(b2),multiply(a2,b2)),divide(multiply(a2,b2),b2)) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
multiply(inverse(b2),multiply(a2,b2)) = a2,
inference(resolve,[$cnf( $equal(divide(multiply(a2,b2),b2),a2) )],[refute_0_459,refute_0_462]) ).
cnf(refute_0_464,plain,
multiply(X,multiply(X_82,X_83)) = divide(X,inverse(multiply(X_82,X_83))),
inference(subst,[],[refute_0_12:[bind(Y,$fot(multiply(X_82,X_83)))]]) ).
cnf(refute_0_465,plain,
multiply(inverse(X_54),inverse(X_23)) = divide(inverse(X_54),X_23),
inference(subst,[],[refute_0_29:[bind(X,$fot(inverse(X_54)))]]) ).
cnf(refute_0_466,plain,
divide(inverse(X_54),X_23) = inverse(multiply(X_54,X_23)),
inference(subst,[],[refute_0_159:[bind(X_52,$fot(X_23)),bind(X_6,$fot(X_54))]]) ).
cnf(refute_0_467,plain,
( multiply(inverse(X_54),inverse(X_23)) != divide(inverse(X_54),X_23)
| divide(inverse(X_54),X_23) != inverse(multiply(X_54,X_23))
| multiply(inverse(X_54),inverse(X_23)) = inverse(multiply(X_54,X_23)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_54),inverse(X_23)),inverse(multiply(X_54,X_23))) ),[0],$fot(divide(inverse(X_54),X_23))]]) ).
cnf(refute_0_468,plain,
( multiply(inverse(X_54),inverse(X_23)) != divide(inverse(X_54),X_23)
| multiply(inverse(X_54),inverse(X_23)) = inverse(multiply(X_54,X_23)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_54),X_23),inverse(multiply(X_54,X_23))) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
multiply(inverse(X_54),inverse(X_23)) = inverse(multiply(X_54,X_23)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_54),inverse(X_23)),divide(inverse(X_54),X_23)) )],[refute_0_465,refute_0_468]) ).
cnf(refute_0_470,plain,
divide(inverse(X_23),X_54) = inverse(multiply(X_23,X_54)),
inference(subst,[],[refute_0_159:[bind(X_52,$fot(X_54)),bind(X_6,$fot(X_23))]]) ).
cnf(refute_0_471,plain,
multiply(inverse(X_54),inverse(X_23)) = divide(inverse(X_23),X_54),
inference(subst,[],[refute_0_291:[bind(X_48,$fot(inverse(X_23))),bind(X_8,$fot(X_54))]]) ).
cnf(refute_0_472,plain,
( multiply(inverse(X_54),inverse(X_23)) != divide(inverse(X_23),X_54)
| divide(inverse(X_23),X_54) != inverse(multiply(X_23,X_54))
| multiply(inverse(X_54),inverse(X_23)) = inverse(multiply(X_23,X_54)) ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(multiply(inverse(X_54),inverse(X_23)))),bind(Y0,$fot(divide(inverse(X_23),X_54))),bind(Z0,$fot(inverse(multiply(X_23,X_54))))]]) ).
cnf(refute_0_473,plain,
( divide(inverse(X_23),X_54) != inverse(multiply(X_23,X_54))
| multiply(inverse(X_54),inverse(X_23)) = inverse(multiply(X_23,X_54)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_54),inverse(X_23)),divide(inverse(X_23),X_54)) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
multiply(inverse(X_54),inverse(X_23)) = inverse(multiply(X_23,X_54)),
inference(resolve,[$cnf( $equal(divide(inverse(X_23),X_54),inverse(multiply(X_23,X_54))) )],[refute_0_470,refute_0_473]) ).
cnf(refute_0_475,plain,
( multiply(inverse(X_54),inverse(X_23)) != inverse(multiply(X_23,X_54))
| multiply(inverse(X_54),inverse(X_23)) != inverse(multiply(X_54,X_23))
| inverse(multiply(X_23,X_54)) = inverse(multiply(X_54,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_54),inverse(X_23)),inverse(multiply(X_54,X_23))) ),[0],$fot(inverse(multiply(X_23,X_54)))]]) ).
cnf(refute_0_476,plain,
( multiply(inverse(X_54),inverse(X_23)) != inverse(multiply(X_54,X_23))
| inverse(multiply(X_23,X_54)) = inverse(multiply(X_54,X_23)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_54),inverse(X_23)),inverse(multiply(X_23,X_54))) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
inverse(multiply(X_23,X_54)) = inverse(multiply(X_54,X_23)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_54),inverse(X_23)),inverse(multiply(X_54,X_23))) )],[refute_0_469,refute_0_476]) ).
cnf(refute_0_478,plain,
inverse(multiply(X_82,X_83)) = inverse(multiply(X_83,X_82)),
inference(subst,[],[refute_0_477:[bind(X_23,$fot(X_82)),bind(X_54,$fot(X_83))]]) ).
cnf(refute_0_479,plain,
( multiply(X,multiply(X_82,X_83)) != divide(X,inverse(multiply(X_82,X_83)))
| inverse(multiply(X_82,X_83)) != inverse(multiply(X_83,X_82))
| multiply(X,multiply(X_82,X_83)) = divide(X,inverse(multiply(X_83,X_82))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_82,X_83)),divide(X,inverse(multiply(X_82,X_83)))) ),[1,1],$fot(inverse(multiply(X_83,X_82)))]]) ).
cnf(refute_0_480,plain,
( multiply(X,multiply(X_82,X_83)) != divide(X,inverse(multiply(X_82,X_83)))
| multiply(X,multiply(X_82,X_83)) = divide(X,inverse(multiply(X_83,X_82))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_82,X_83)),inverse(multiply(X_83,X_82))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
multiply(X,multiply(X_82,X_83)) = divide(X,inverse(multiply(X_83,X_82))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_82,X_83)),divide(X,inverse(multiply(X_82,X_83)))) )],[refute_0_464,refute_0_480]) ).
cnf(refute_0_482,plain,
divide(X,inverse(multiply(X_83,X_82))) = multiply(X,multiply(X_83,X_82)),
inference(subst,[],[refute_0_45:[bind(Y,$fot(multiply(X_83,X_82)))]]) ).
cnf(refute_0_483,plain,
( multiply(X,multiply(X_82,X_83)) != divide(X,inverse(multiply(X_83,X_82)))
| divide(X,inverse(multiply(X_83,X_82))) != multiply(X,multiply(X_83,X_82))
| multiply(X,multiply(X_82,X_83)) = multiply(X,multiply(X_83,X_82)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,multiply(X_82,X_83)),multiply(X,multiply(X_83,X_82))) ),[0],$fot(divide(X,inverse(multiply(X_83,X_82))))]]) ).
cnf(refute_0_484,plain,
( multiply(X,multiply(X_82,X_83)) != divide(X,inverse(multiply(X_83,X_82)))
| multiply(X,multiply(X_82,X_83)) = multiply(X,multiply(X_83,X_82)) ),
inference(resolve,[$cnf( $equal(divide(X,inverse(multiply(X_83,X_82))),multiply(X,multiply(X_83,X_82))) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
multiply(X,multiply(X_82,X_83)) = multiply(X,multiply(X_83,X_82)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_82,X_83)),divide(X,inverse(multiply(X_83,X_82)))) )],[refute_0_481,refute_0_484]) ).
cnf(refute_0_486,plain,
( multiply(X,multiply(X_82,X_83)) != multiply(X,multiply(X_83,X_82))
| multiply(X,multiply(X_83,X_82)) = multiply(X,multiply(X_82,X_83)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,multiply(X_82,X_83)))),bind(Y0,$fot(multiply(X,multiply(X_83,X_82))))]]) ).
cnf(refute_0_487,plain,
multiply(X,multiply(X_83,X_82)) = multiply(X,multiply(X_82,X_83)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_82,X_83)),multiply(X,multiply(X_83,X_82))) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
multiply(inverse(b2),multiply(b2,a2)) = multiply(inverse(b2),multiply(a2,b2)),
inference(subst,[],[refute_0_487:[bind(X,$fot(inverse(b2))),bind(X_82,$fot(a2)),bind(X_83,$fot(b2))]]) ).
cnf(refute_0_489,plain,
( multiply(inverse(b2),multiply(a2,b2)) != a2
| multiply(inverse(b2),multiply(b2,a2)) != multiply(inverse(b2),multiply(a2,b2))
| multiply(inverse(b2),multiply(b2,a2)) = a2 ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(multiply(inverse(b2),multiply(b2,a2)))),bind(Y0,$fot(multiply(inverse(b2),multiply(a2,b2)))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_490,plain,
( multiply(inverse(b2),multiply(a2,b2)) != a2
| multiply(inverse(b2),multiply(b2,a2)) = a2 ),
inference(resolve,[$cnf( $equal(multiply(inverse(b2),multiply(b2,a2)),multiply(inverse(b2),multiply(a2,b2))) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
multiply(inverse(b2),multiply(b2,a2)) = a2,
inference(resolve,[$cnf( $equal(multiply(inverse(b2),multiply(a2,b2)),a2) )],[refute_0_463,refute_0_490]) ).
cnf(refute_0_492,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(inverse(b2),multiply(b2,a2)),
inference(subst,[],[refute_0_426:[bind(X_26,$fot(b2)),bind(X_96,$fot(a2)),bind(X_98,$fot(inverse(b2)))]]) ).
cnf(refute_0_493,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(inverse(b2),multiply(b2,a2))
| multiply(inverse(b2),multiply(b2,a2)) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(subst,[],[refute_0_48:[bind(X0,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y0,$fot(multiply(inverse(b2),multiply(b2,a2)))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_494,plain,
( multiply(inverse(b2),multiply(b2,a2)) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(inverse(b2),multiply(b2,a2))) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
multiply(multiply(inverse(b2),b2),a2) = a2,
inference(resolve,[$cnf( $equal(multiply(inverse(b2),multiply(b2,a2)),a2) )],[refute_0_491,refute_0_494]) ).
cnf(refute_0_496,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_497,plain,
( a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4)
| divide(a1,a1) != divide(b1,b1)
| a2 != a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_497,refute_0_454]) ).
cnf(refute_0_499,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_426:[bind(X_26,$fot(b3)),bind(X_96,$fot(c3)),bind(X_98,$fot(a3))]]) ).
cnf(refute_0_500,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_501,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4)
| divide(a1,a1) != divide(b1,b1)
| a2 != a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_501,refute_0_498]) ).
cnf(refute_0_503,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_504,plain,
( multiply(a4,b4) != multiply(a4,b4)
| divide(a1,a1) != divide(b1,b1)
| a2 != a2 ),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_503,refute_0_502]) ).
cnf(refute_0_505,plain,
multiply(a4,b4) = multiply(a4,b4),
introduced(tautology,[refl,[$fot(multiply(a4,b4))]]) ).
cnf(refute_0_506,plain,
( divide(a1,a1) != divide(b1,b1)
| a2 != a2 ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(a4,b4)) )],[refute_0_505,refute_0_504]) ).
cnf(refute_0_507,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_508,plain,
divide(a1,a1) != divide(b1,b1),
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_507,refute_0_506]) ).
cnf(refute_0_509,plain,
( divide(X_24,X_24) != divide(X_34,X_34)
| divide(X_34,X_34) = divide(X_24,X_24) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(divide(X_24,X_24))),bind(Y0,$fot(divide(X_34,X_34)))]]) ).
cnf(refute_0_510,plain,
divide(X_34,X_34) = divide(X_24,X_24),
inference(resolve,[$cnf( $equal(divide(X_24,X_24),divide(X_34,X_34)) )],[refute_0_202,refute_0_509]) ).
cnf(refute_0_511,plain,
divide(a1,a1) = divide(b1,b1),
inference(subst,[],[refute_0_510:[bind(X_24,$fot(b1)),bind(X_34,$fot(a1))]]) ).
cnf(refute_0_512,plain,
$false,
inference(resolve,[$cnf( $equal(divide(a1,a1),divide(b1,b1)) )],[refute_0_511,refute_0_508]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP090-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 02:33:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.49/0.66 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.66
% 0.49/0.66 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.55/0.72
%------------------------------------------------------------------------------