TSTP Solution File: GRP539-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP539-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.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 10:42:13 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 121
% Syntax : Number of clauses : 499 ( 263 unt; 0 nHn; 236 RR)
% Number of literals : 839 ( 838 equ; 344 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 1272 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(A,B),divide(divide(A,C),B)) = C ).
cnf(multiply,axiom,
multiply(A,B) = divide(A,divide(divide(C,C),B)) ).
cnf(inverse,axiom,
inverse(A) = divide(divide(B,B),A) ).
cnf(identity,axiom,
identity = divide(A,A) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
cnf(refute_0_0,plain,
divide(divide(X_4,X_3),divide(divide(X_4,X_4),X_3)) = X_4,
inference(subst,[],[single_axiom:[bind(A,$fot(X_4)),bind(B,$fot(X_3)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_1,plain,
identity = divide(X_4,X_4),
inference(subst,[],[identity:[bind(A,$fot(X_4))]]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( identity != divide(X_4,X_4)
| divide(X_4,X_4) = identity ),
inference(subst,[],[refute_0_4:[bind(X,$fot(identity)),bind(Y,$fot(divide(X_4,X_4)))]]) ).
cnf(refute_0_6,plain,
divide(X_4,X_4) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_4,X_4)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
( divide(X_4,X_4) != identity
| divide(divide(X_4,X_3),divide(divide(X_4,X_4),X_3)) != X_4
| divide(divide(X_4,X_3),divide(identity,X_3)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_4,X_3),divide(divide(X_4,X_4),X_3)),X_4) ),[0,1,0],$fot(identity)]]) ).
cnf(refute_0_8,plain,
( divide(divide(X_4,X_3),divide(divide(X_4,X_4),X_3)) != X_4
| divide(divide(X_4,X_3),divide(identity,X_3)) = X_4 ),
inference(resolve,[$cnf( $equal(divide(X_4,X_4),identity) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
divide(divide(X_4,X_3),divide(identity,X_3)) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(X_4,X_3),divide(divide(X_4,X_4),X_3)),X_4) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
( inverse(A) != divide(divide(B,B),A)
| divide(divide(B,B),A) = inverse(A) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(A))),bind(Y,$fot(divide(divide(B,B),A)))]]) ).
cnf(refute_0_11,plain,
divide(divide(B,B),A) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(B,B),A)) )],[inverse,refute_0_10]) ).
cnf(refute_0_12,plain,
divide(divide(C,C),B) = inverse(B),
inference(subst,[],[refute_0_11:[bind(A,$fot(B)),bind(B,$fot(C))]]) ).
cnf(refute_0_13,plain,
divide(A,divide(divide(C,C),B)) = divide(A,divide(divide(C,C),B)),
introduced(tautology,[refl,[$fot(divide(A,divide(divide(C,C),B)))]]) ).
cnf(refute_0_14,plain,
( divide(A,divide(divide(C,C),B)) != divide(A,divide(divide(C,C),B))
| divide(divide(C,C),B) != inverse(B)
| divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,divide(divide(C,C),B))) ),[1,1],$fot(inverse(B))]]) ).
cnf(refute_0_15,plain,
( divide(divide(C,C),B) != inverse(B)
| divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,divide(divide(C,C),B))) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(divide(divide(C,C),B),inverse(B)) )],[refute_0_12,refute_0_15]) ).
cnf(refute_0_17,plain,
( multiply(A,B) != divide(A,divide(divide(C,C),B))
| divide(A,divide(divide(C,C),B)) != divide(A,inverse(B))
| multiply(A,B) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),divide(A,inverse(B))) ),[0],$fot(divide(A,divide(divide(C,C),B)))]]) ).
cnf(refute_0_18,plain,
( multiply(A,B) != divide(A,divide(divide(C,C),B))
| multiply(A,B) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,inverse(B))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
multiply(A,B) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,divide(divide(C,C),B))) )],[multiply,refute_0_18]) ).
cnf(refute_0_20,plain,
( multiply(A,B) != divide(A,inverse(B))
| divide(A,inverse(B)) = multiply(A,B) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(divide(A,inverse(B))))]]) ).
cnf(refute_0_21,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,inverse(B))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
divide(divide(X_4,X_3),inverse(X_3)) = multiply(divide(X_4,X_3),X_3),
inference(subst,[],[refute_0_21:[bind(A,$fot(divide(X_4,X_3))),bind(B,$fot(X_3))]]) ).
cnf(refute_0_23,plain,
( identity != divide(A,A)
| divide(A,A) = identity ),
inference(subst,[],[refute_0_4:[bind(X,$fot(identity)),bind(Y,$fot(divide(A,A)))]]) ).
cnf(refute_0_24,plain,
divide(A,A) = identity,
inference(resolve,[$cnf( $equal(identity,divide(A,A)) )],[identity,refute_0_23]) ).
cnf(refute_0_25,plain,
divide(B,B) = identity,
inference(subst,[],[refute_0_24:[bind(A,$fot(B))]]) ).
cnf(refute_0_26,plain,
divide(divide(B,B),A) = divide(divide(B,B),A),
introduced(tautology,[refl,[$fot(divide(divide(B,B),A))]]) ).
cnf(refute_0_27,plain,
( divide(B,B) != identity
| divide(divide(B,B),A) != divide(divide(B,B),A)
| divide(divide(B,B),A) = divide(identity,A) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(B,B),A),divide(divide(B,B),A)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_28,plain,
( divide(B,B) != identity
| divide(divide(B,B),A) = divide(identity,A) ),
inference(resolve,[$cnf( $equal(divide(divide(B,B),A),divide(divide(B,B),A)) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
divide(divide(B,B),A) = divide(identity,A),
inference(resolve,[$cnf( $equal(divide(B,B),identity) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
( divide(divide(B,B),A) != divide(identity,A)
| inverse(A) != divide(divide(B,B),A)
| inverse(A) = divide(identity,A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(divide(B,B),A)) ),[1],$fot(divide(identity,A))]]) ).
cnf(refute_0_31,plain,
( inverse(A) != divide(divide(B,B),A)
| inverse(A) = divide(identity,A) ),
inference(resolve,[$cnf( $equal(divide(divide(B,B),A),divide(identity,A)) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
inverse(A) = divide(identity,A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(B,B),A)) )],[inverse,refute_0_31]) ).
cnf(refute_0_33,plain,
( inverse(A) != divide(identity,A)
| divide(identity,A) = inverse(A) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(A))),bind(Y,$fot(divide(identity,A)))]]) ).
cnf(refute_0_34,plain,
divide(identity,A) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),divide(identity,A)) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
divide(identity,X_3) = inverse(X_3),
inference(subst,[],[refute_0_34:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_36,plain,
divide(divide(X_4,X_3),divide(identity,X_3)) = divide(divide(X_4,X_3),divide(identity,X_3)),
introduced(tautology,[refl,[$fot(divide(divide(X_4,X_3),divide(identity,X_3)))]]) ).
cnf(refute_0_37,plain,
( divide(divide(X_4,X_3),divide(identity,X_3)) != divide(divide(X_4,X_3),divide(identity,X_3))
| divide(identity,X_3) != inverse(X_3)
| divide(divide(X_4,X_3),divide(identity,X_3)) = divide(divide(X_4,X_3),inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_4,X_3),divide(identity,X_3)),divide(divide(X_4,X_3),divide(identity,X_3))) ),[1,1],$fot(inverse(X_3))]]) ).
cnf(refute_0_38,plain,
( divide(identity,X_3) != inverse(X_3)
| divide(divide(X_4,X_3),divide(identity,X_3)) = divide(divide(X_4,X_3),inverse(X_3)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_4,X_3),divide(identity,X_3)),divide(divide(X_4,X_3),divide(identity,X_3))) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
divide(divide(X_4,X_3),divide(identity,X_3)) = divide(divide(X_4,X_3),inverse(X_3)),
inference(resolve,[$cnf( $equal(divide(identity,X_3),inverse(X_3)) )],[refute_0_35,refute_0_38]) ).
cnf(refute_0_40,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_41,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_40]) ).
cnf(refute_0_42,plain,
( divide(divide(X_4,X_3),divide(identity,X_3)) != divide(divide(X_4,X_3),inverse(X_3))
| divide(divide(X_4,X_3),inverse(X_3)) != multiply(divide(X_4,X_3),X_3)
| divide(divide(X_4,X_3),divide(identity,X_3)) = multiply(divide(X_4,X_3),X_3) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(divide(divide(X_4,X_3),divide(identity,X_3)))),bind(Y,$fot(divide(divide(X_4,X_3),inverse(X_3)))),bind(Z,$fot(multiply(divide(X_4,X_3),X_3)))]]) ).
cnf(refute_0_43,plain,
( divide(divide(X_4,X_3),inverse(X_3)) != multiply(divide(X_4,X_3),X_3)
| divide(divide(X_4,X_3),divide(identity,X_3)) = multiply(divide(X_4,X_3),X_3) ),
inference(resolve,[$cnf( $equal(divide(divide(X_4,X_3),divide(identity,X_3)),divide(divide(X_4,X_3),inverse(X_3))) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
divide(divide(X_4,X_3),divide(identity,X_3)) = multiply(divide(X_4,X_3),X_3),
inference(resolve,[$cnf( $equal(divide(divide(X_4,X_3),inverse(X_3)),multiply(divide(X_4,X_3),X_3)) )],[refute_0_22,refute_0_43]) ).
cnf(refute_0_45,plain,
( divide(divide(X_4,X_3),divide(identity,X_3)) != X_4
| divide(divide(X_4,X_3),divide(identity,X_3)) != multiply(divide(X_4,X_3),X_3)
| multiply(divide(X_4,X_3),X_3) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_4,X_3),divide(identity,X_3)),X_4) ),[0],$fot(multiply(divide(X_4,X_3),X_3))]]) ).
cnf(refute_0_46,plain,
( divide(divide(X_4,X_3),divide(identity,X_3)) != X_4
| multiply(divide(X_4,X_3),X_3) = X_4 ),
inference(resolve,[$cnf( $equal(divide(divide(X_4,X_3),divide(identity,X_3)),multiply(divide(X_4,X_3),X_3)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
multiply(divide(X_4,X_3),X_3) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(X_4,X_3),divide(identity,X_3)),X_4) )],[refute_0_9,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(divide(multiply(X_33,X_35),multiply(divide(X_33,X_34),X_35)),multiply(divide(X_33,X_34),X_35)) = multiply(X_33,X_35),
inference(subst,[],[refute_0_47:[bind(X_3,$fot(multiply(divide(X_33,X_34),X_35))),bind(X_4,$fot(multiply(X_33,X_35)))]]) ).
cnf(refute_0_49,plain,
divide(divide(A,inverse(X_24)),divide(divide(A,C),inverse(X_24))) = C,
inference(subst,[],[single_axiom:[bind(B,$fot(inverse(X_24)))]]) ).
cnf(refute_0_50,plain,
multiply(divide(A,C),X_24) = divide(divide(A,C),inverse(X_24)),
inference(subst,[],[refute_0_19:[bind(A,$fot(divide(A,C))),bind(B,$fot(X_24))]]) ).
cnf(refute_0_51,plain,
( multiply(divide(A,C),X_24) != divide(divide(A,C),inverse(X_24))
| divide(divide(A,C),inverse(X_24)) = multiply(divide(A,C),X_24) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(divide(A,C),X_24))),bind(Y,$fot(divide(divide(A,C),inverse(X_24))))]]) ).
cnf(refute_0_52,plain,
divide(divide(A,C),inverse(X_24)) = multiply(divide(A,C),X_24),
inference(resolve,[$cnf( $equal(multiply(divide(A,C),X_24),divide(divide(A,C),inverse(X_24))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
( divide(divide(A,C),inverse(X_24)) != multiply(divide(A,C),X_24)
| divide(divide(A,inverse(X_24)),divide(divide(A,C),inverse(X_24))) != C
| divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24)) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,inverse(X_24)),divide(divide(A,C),inverse(X_24))),C) ),[0,1],$fot(multiply(divide(A,C),X_24))]]) ).
cnf(refute_0_54,plain,
( divide(divide(A,inverse(X_24)),divide(divide(A,C),inverse(X_24))) != C
| divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24)) = C ),
inference(resolve,[$cnf( $equal(divide(divide(A,C),inverse(X_24)),multiply(divide(A,C),X_24)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24)) = C,
inference(resolve,[$cnf( $equal(divide(divide(A,inverse(X_24)),divide(divide(A,C),inverse(X_24))),C) )],[refute_0_49,refute_0_54]) ).
cnf(refute_0_56,plain,
divide(A,inverse(X_24)) = multiply(A,X_24),
inference(subst,[],[refute_0_21:[bind(B,$fot(X_24))]]) ).
cnf(refute_0_57,plain,
divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24)) = divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24)),
introduced(tautology,[refl,[$fot(divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24)))]]) ).
cnf(refute_0_58,plain,
( divide(A,inverse(X_24)) != multiply(A,X_24)
| divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24)) != divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24))
| divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24)) = divide(multiply(A,X_24),multiply(divide(A,C),X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24)),divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24))) ),[1,0],$fot(multiply(A,X_24))]]) ).
cnf(refute_0_59,plain,
( divide(A,inverse(X_24)) != multiply(A,X_24)
| divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24)) = divide(multiply(A,X_24),multiply(divide(A,C),X_24)) ),
inference(resolve,[$cnf( $equal(divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24)),divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24))) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24)) = divide(multiply(A,X_24),multiply(divide(A,C),X_24)),
inference(resolve,[$cnf( $equal(divide(A,inverse(X_24)),multiply(A,X_24)) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
( divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24)) != C
| divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24)) != divide(multiply(A,X_24),multiply(divide(A,C),X_24))
| divide(multiply(A,X_24),multiply(divide(A,C),X_24)) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24)),C) ),[0],$fot(divide(multiply(A,X_24),multiply(divide(A,C),X_24)))]]) ).
cnf(refute_0_62,plain,
( divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24)) != C
| divide(multiply(A,X_24),multiply(divide(A,C),X_24)) = C ),
inference(resolve,[$cnf( $equal(divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24)),divide(multiply(A,X_24),multiply(divide(A,C),X_24))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
divide(multiply(A,X_24),multiply(divide(A,C),X_24)) = C,
inference(resolve,[$cnf( $equal(divide(divide(A,inverse(X_24)),multiply(divide(A,C),X_24)),C) )],[refute_0_55,refute_0_62]) ).
cnf(refute_0_64,plain,
divide(multiply(X_33,X_35),multiply(divide(X_33,X_34),X_35)) = X_34,
inference(subst,[],[refute_0_63:[bind(A,$fot(X_33)),bind(C,$fot(X_34)),bind(X_24,$fot(X_35))]]) ).
cnf(refute_0_65,plain,
( multiply(divide(multiply(X_33,X_35),multiply(divide(X_33,X_34),X_35)),multiply(divide(X_33,X_34),X_35)) != multiply(X_33,X_35)
| divide(multiply(X_33,X_35),multiply(divide(X_33,X_34),X_35)) != X_34
| multiply(X_34,multiply(divide(X_33,X_34),X_35)) = multiply(X_33,X_35) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(multiply(X_33,X_35),multiply(divide(X_33,X_34),X_35)),multiply(divide(X_33,X_34),X_35)),multiply(X_33,X_35)) ),[0,0],$fot(X_34)]]) ).
cnf(refute_0_66,plain,
( multiply(divide(multiply(X_33,X_35),multiply(divide(X_33,X_34),X_35)),multiply(divide(X_33,X_34),X_35)) != multiply(X_33,X_35)
| multiply(X_34,multiply(divide(X_33,X_34),X_35)) = multiply(X_33,X_35) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_33,X_35),multiply(divide(X_33,X_34),X_35)),X_34) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
multiply(X_34,multiply(divide(X_33,X_34),X_35)) = multiply(X_33,X_35),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(X_33,X_35),multiply(divide(X_33,X_34),X_35)),multiply(divide(X_33,X_34),X_35)),multiply(X_33,X_35)) )],[refute_0_48,refute_0_66]) ).
cnf(refute_0_68,plain,
multiply(X_61,multiply(divide(X_60,X_61),divide(X_4,divide(X_60,X_61)))) = multiply(X_60,divide(X_4,divide(X_60,X_61))),
inference(subst,[],[refute_0_67:[bind(X_33,$fot(X_60)),bind(X_34,$fot(X_61)),bind(X_35,$fot(divide(X_4,divide(X_60,X_61))))]]) ).
cnf(refute_0_69,plain,
multiply(divide(X_4,divide(X_4,X_28)),divide(X_4,X_28)) = X_4,
inference(subst,[],[refute_0_47:[bind(X_3,$fot(divide(X_4,X_28)))]]) ).
cnf(refute_0_70,plain,
divide(divide(X_2,divide(X_2,X_4)),divide(divide(X_2,X_4),divide(X_2,X_4))) = X_4,
inference(subst,[],[single_axiom:[bind(A,$fot(X_2)),bind(B,$fot(divide(X_2,X_4))),bind(C,$fot(X_4))]]) ).
cnf(refute_0_71,plain,
identity = divide(divide(X_2,X_4),divide(X_2,X_4)),
inference(subst,[],[identity:[bind(A,$fot(divide(X_2,X_4)))]]) ).
cnf(refute_0_72,plain,
( identity != divide(divide(X_2,X_4),divide(X_2,X_4))
| divide(divide(X_2,X_4),divide(X_2,X_4)) = identity ),
inference(subst,[],[refute_0_4:[bind(X,$fot(identity)),bind(Y,$fot(divide(divide(X_2,X_4),divide(X_2,X_4))))]]) ).
cnf(refute_0_73,plain,
divide(divide(X_2,X_4),divide(X_2,X_4)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(divide(X_2,X_4),divide(X_2,X_4))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
( divide(divide(X_2,X_4),divide(X_2,X_4)) != identity
| divide(divide(X_2,divide(X_2,X_4)),divide(divide(X_2,X_4),divide(X_2,X_4))) != X_4
| divide(divide(X_2,divide(X_2,X_4)),identity) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_2,divide(X_2,X_4)),divide(divide(X_2,X_4),divide(X_2,X_4))),X_4) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_75,plain,
( divide(divide(X_2,divide(X_2,X_4)),divide(divide(X_2,X_4),divide(X_2,X_4))) != X_4
| divide(divide(X_2,divide(X_2,X_4)),identity) = X_4 ),
inference(resolve,[$cnf( $equal(divide(divide(X_2,X_4),divide(X_2,X_4)),identity) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
divide(divide(X_2,divide(X_2,X_4)),identity) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(X_2,divide(X_2,X_4)),divide(divide(X_2,X_4),divide(X_2,X_4))),X_4) )],[refute_0_70,refute_0_75]) ).
cnf(refute_0_77,plain,
divide(divide(identity,X_3),divide(divide(identity,X_4),X_3)) = X_4,
inference(subst,[],[single_axiom:[bind(A,$fot(identity)),bind(B,$fot(X_3)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_78,plain,
inverse(X_4) = divide(identity,X_4),
inference(subst,[],[refute_0_32:[bind(A,$fot(X_4))]]) ).
cnf(refute_0_79,plain,
( inverse(X_4) != divide(identity,X_4)
| divide(identity,X_4) = inverse(X_4) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_4))),bind(Y,$fot(divide(identity,X_4)))]]) ).
cnf(refute_0_80,plain,
divide(identity,X_4) = inverse(X_4),
inference(resolve,[$cnf( $equal(inverse(X_4),divide(identity,X_4)) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
( divide(divide(identity,X_3),divide(divide(identity,X_4),X_3)) != X_4
| divide(identity,X_4) != inverse(X_4)
| divide(divide(identity,X_3),divide(inverse(X_4),X_3)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,X_3),divide(divide(identity,X_4),X_3)),X_4) ),[0,1,0],$fot(inverse(X_4))]]) ).
cnf(refute_0_82,plain,
( divide(divide(identity,X_3),divide(divide(identity,X_4),X_3)) != X_4
| divide(divide(identity,X_3),divide(inverse(X_4),X_3)) = X_4 ),
inference(resolve,[$cnf( $equal(divide(identity,X_4),inverse(X_4)) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
divide(divide(identity,X_3),divide(inverse(X_4),X_3)) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(identity,X_3),divide(divide(identity,X_4),X_3)),X_4) )],[refute_0_77,refute_0_82]) ).
cnf(refute_0_84,plain,
divide(divide(identity,X_3),divide(inverse(X_4),X_3)) = divide(divide(identity,X_3),divide(inverse(X_4),X_3)),
introduced(tautology,[refl,[$fot(divide(divide(identity,X_3),divide(inverse(X_4),X_3)))]]) ).
cnf(refute_0_85,plain,
( divide(divide(identity,X_3),divide(inverse(X_4),X_3)) != divide(divide(identity,X_3),divide(inverse(X_4),X_3))
| divide(identity,X_3) != inverse(X_3)
| divide(divide(identity,X_3),divide(inverse(X_4),X_3)) = divide(inverse(X_3),divide(inverse(X_4),X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,X_3),divide(inverse(X_4),X_3)),divide(divide(identity,X_3),divide(inverse(X_4),X_3))) ),[1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_86,plain,
( divide(identity,X_3) != inverse(X_3)
| divide(divide(identity,X_3),divide(inverse(X_4),X_3)) = divide(inverse(X_3),divide(inverse(X_4),X_3)) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,X_3),divide(inverse(X_4),X_3)),divide(divide(identity,X_3),divide(inverse(X_4),X_3))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
divide(divide(identity,X_3),divide(inverse(X_4),X_3)) = divide(inverse(X_3),divide(inverse(X_4),X_3)),
inference(resolve,[$cnf( $equal(divide(identity,X_3),inverse(X_3)) )],[refute_0_35,refute_0_86]) ).
cnf(refute_0_88,plain,
( divide(divide(identity,X_3),divide(inverse(X_4),X_3)) != X_4
| divide(divide(identity,X_3),divide(inverse(X_4),X_3)) != divide(inverse(X_3),divide(inverse(X_4),X_3))
| divide(inverse(X_3),divide(inverse(X_4),X_3)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,X_3),divide(inverse(X_4),X_3)),X_4) ),[0],$fot(divide(inverse(X_3),divide(inverse(X_4),X_3)))]]) ).
cnf(refute_0_89,plain,
( divide(divide(identity,X_3),divide(inverse(X_4),X_3)) != X_4
| divide(inverse(X_3),divide(inverse(X_4),X_3)) = X_4 ),
inference(resolve,[$cnf( $equal(divide(divide(identity,X_3),divide(inverse(X_4),X_3)),divide(inverse(X_3),divide(inverse(X_4),X_3))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
divide(inverse(X_3),divide(inverse(X_4),X_3)) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(identity,X_3),divide(inverse(X_4),X_3)),X_4) )],[refute_0_83,refute_0_89]) ).
cnf(refute_0_91,plain,
divide(inverse(identity),divide(inverse(X_6),identity)) = X_6,
inference(subst,[],[refute_0_90:[bind(X_3,$fot(identity)),bind(X_4,$fot(X_6))]]) ).
cnf(refute_0_92,plain,
identity = divide(identity,identity),
inference(subst,[],[identity:[bind(A,$fot(identity))]]) ).
cnf(refute_0_93,plain,
inverse(identity) = divide(identity,identity),
inference(subst,[],[refute_0_32:[bind(A,$fot(identity))]]) ).
cnf(refute_0_94,plain,
( inverse(identity) != divide(identity,identity)
| divide(identity,identity) = inverse(identity) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(identity))),bind(Y,$fot(divide(identity,identity)))]]) ).
cnf(refute_0_95,plain,
divide(identity,identity) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),divide(identity,identity)) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
( divide(identity,identity) != inverse(identity)
| identity != divide(identity,identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(identity,divide(identity,identity)) ),[1],$fot(inverse(identity))]]) ).
cnf(refute_0_97,plain,
( identity != divide(identity,identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(divide(identity,identity),inverse(identity)) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(identity,divide(identity,identity)) )],[refute_0_92,refute_0_97]) ).
cnf(refute_0_99,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_4:[bind(X,$fot(identity)),bind(Y,$fot(inverse(identity)))]]) ).
cnf(refute_0_100,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
( divide(inverse(identity),divide(inverse(X_6),identity)) != X_6
| inverse(identity) != identity
| divide(identity,divide(inverse(X_6),identity)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(identity),divide(inverse(X_6),identity)),X_6) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_102,plain,
( divide(inverse(identity),divide(inverse(X_6),identity)) != X_6
| divide(identity,divide(inverse(X_6),identity)) = X_6 ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
divide(identity,divide(inverse(X_6),identity)) = X_6,
inference(resolve,[$cnf( $equal(divide(inverse(identity),divide(inverse(X_6),identity)),X_6) )],[refute_0_91,refute_0_102]) ).
cnf(refute_0_104,plain,
divide(identity,divide(inverse(X_6),identity)) = inverse(divide(inverse(X_6),identity)),
inference(subst,[],[refute_0_34:[bind(A,$fot(divide(inverse(X_6),identity)))]]) ).
cnf(refute_0_105,plain,
( divide(identity,divide(inverse(X_6),identity)) != X_6
| divide(identity,divide(inverse(X_6),identity)) != inverse(divide(inverse(X_6),identity))
| inverse(divide(inverse(X_6),identity)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(divide(identity,divide(inverse(X_6),identity)),X_6) ),[0],$fot(inverse(divide(inverse(X_6),identity)))]]) ).
cnf(refute_0_106,plain,
( divide(identity,divide(inverse(X_6),identity)) != X_6
| inverse(divide(inverse(X_6),identity)) = X_6 ),
inference(resolve,[$cnf( $equal(divide(identity,divide(inverse(X_6),identity)),inverse(divide(inverse(X_6),identity))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
inverse(divide(inverse(X_6),identity)) = X_6,
inference(resolve,[$cnf( $equal(divide(identity,divide(inverse(X_6),identity)),X_6) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
inverse(divide(inverse(divide(inverse(X_8),identity)),identity)) = divide(inverse(X_8),identity),
inference(subst,[],[refute_0_107:[bind(X_6,$fot(divide(inverse(X_8),identity)))]]) ).
cnf(refute_0_109,plain,
inverse(divide(inverse(X_8),identity)) = X_8,
inference(subst,[],[refute_0_107:[bind(X_6,$fot(X_8))]]) ).
cnf(refute_0_110,plain,
( inverse(divide(inverse(X_8),identity)) != X_8
| inverse(divide(inverse(divide(inverse(X_8),identity)),identity)) != divide(inverse(X_8),identity)
| inverse(divide(X_8,identity)) = divide(inverse(X_8),identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(divide(inverse(X_8),identity)),identity)),divide(inverse(X_8),identity)) ),[0,0,0],$fot(X_8)]]) ).
cnf(refute_0_111,plain,
( inverse(divide(inverse(divide(inverse(X_8),identity)),identity)) != divide(inverse(X_8),identity)
| inverse(divide(X_8,identity)) = divide(inverse(X_8),identity) ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_8),identity)),X_8) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
inverse(divide(X_8,identity)) = divide(inverse(X_8),identity),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(divide(inverse(X_8),identity)),identity)),divide(inverse(X_8),identity)) )],[refute_0_108,refute_0_111]) ).
cnf(refute_0_113,plain,
( inverse(divide(X_8,identity)) != divide(inverse(X_8),identity)
| divide(inverse(X_8),identity) = inverse(divide(X_8,identity)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(divide(X_8,identity)))),bind(Y,$fot(divide(inverse(X_8),identity)))]]) ).
cnf(refute_0_114,plain,
divide(inverse(X_8),identity) = inverse(divide(X_8,identity)),
inference(resolve,[$cnf( $equal(inverse(divide(X_8,identity)),divide(inverse(X_8),identity)) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
divide(inverse(X_6),identity) = inverse(divide(X_6,identity)),
inference(subst,[],[refute_0_114:[bind(X_8,$fot(X_6))]]) ).
cnf(refute_0_116,plain,
inverse(divide(inverse(X_6),identity)) = inverse(divide(inverse(X_6),identity)),
introduced(tautology,[refl,[$fot(inverse(divide(inverse(X_6),identity)))]]) ).
cnf(refute_0_117,plain,
( divide(inverse(X_6),identity) != inverse(divide(X_6,identity))
| inverse(divide(inverse(X_6),identity)) != inverse(divide(inverse(X_6),identity))
| inverse(divide(inverse(X_6),identity)) = inverse(inverse(divide(X_6,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(X_6),identity)),inverse(divide(inverse(X_6),identity))) ),[1,0],$fot(inverse(divide(X_6,identity)))]]) ).
cnf(refute_0_118,plain,
( divide(inverse(X_6),identity) != inverse(divide(X_6,identity))
| inverse(divide(inverse(X_6),identity)) = inverse(inverse(divide(X_6,identity))) ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_6),identity)),inverse(divide(inverse(X_6),identity))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
inverse(divide(inverse(X_6),identity)) = inverse(inverse(divide(X_6,identity))),
inference(resolve,[$cnf( $equal(divide(inverse(X_6),identity),inverse(divide(X_6,identity))) )],[refute_0_115,refute_0_118]) ).
cnf(refute_0_120,plain,
( inverse(divide(inverse(X_6),identity)) != X_6
| inverse(divide(inverse(X_6),identity)) != inverse(inverse(divide(X_6,identity)))
| inverse(inverse(divide(X_6,identity))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(X_6),identity)),X_6) ),[0],$fot(inverse(inverse(divide(X_6,identity))))]]) ).
cnf(refute_0_121,plain,
( inverse(divide(inverse(X_6),identity)) != X_6
| inverse(inverse(divide(X_6,identity))) = X_6 ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_6),identity)),inverse(inverse(divide(X_6,identity)))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
inverse(inverse(divide(X_6,identity))) = X_6,
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_6),identity)),X_6) )],[refute_0_107,refute_0_121]) ).
cnf(refute_0_123,plain,
divide(divide(X_3,X_3),divide(divide(X_3,X_4),X_3)) = X_4,
inference(subst,[],[single_axiom:[bind(A,$fot(X_3)),bind(B,$fot(X_3)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_124,plain,
identity = divide(X_3,X_3),
inference(subst,[],[identity:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_125,plain,
( identity != divide(X_3,X_3)
| divide(X_3,X_3) = identity ),
inference(subst,[],[refute_0_4:[bind(X,$fot(identity)),bind(Y,$fot(divide(X_3,X_3)))]]) ).
cnf(refute_0_126,plain,
divide(X_3,X_3) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_3,X_3)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
( divide(X_3,X_3) != identity
| divide(divide(X_3,X_3),divide(divide(X_3,X_4),X_3)) != X_4
| divide(identity,divide(divide(X_3,X_4),X_3)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_3,X_3),divide(divide(X_3,X_4),X_3)),X_4) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_128,plain,
( divide(divide(X_3,X_3),divide(divide(X_3,X_4),X_3)) != X_4
| divide(identity,divide(divide(X_3,X_4),X_3)) = X_4 ),
inference(resolve,[$cnf( $equal(divide(X_3,X_3),identity) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
divide(identity,divide(divide(X_3,X_4),X_3)) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(X_3,X_3),divide(divide(X_3,X_4),X_3)),X_4) )],[refute_0_123,refute_0_128]) ).
cnf(refute_0_130,plain,
divide(identity,divide(divide(X_3,X_4),X_3)) = inverse(divide(divide(X_3,X_4),X_3)),
inference(subst,[],[refute_0_34:[bind(A,$fot(divide(divide(X_3,X_4),X_3)))]]) ).
cnf(refute_0_131,plain,
( divide(identity,divide(divide(X_3,X_4),X_3)) != X_4
| divide(identity,divide(divide(X_3,X_4),X_3)) != inverse(divide(divide(X_3,X_4),X_3))
| inverse(divide(divide(X_3,X_4),X_3)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(identity,divide(divide(X_3,X_4),X_3)),X_4) ),[0],$fot(inverse(divide(divide(X_3,X_4),X_3)))]]) ).
cnf(refute_0_132,plain,
( divide(identity,divide(divide(X_3,X_4),X_3)) != X_4
| inverse(divide(divide(X_3,X_4),X_3)) = X_4 ),
inference(resolve,[$cnf( $equal(divide(identity,divide(divide(X_3,X_4),X_3)),inverse(divide(divide(X_3,X_4),X_3))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
inverse(divide(divide(X_3,X_4),X_3)) = X_4,
inference(resolve,[$cnf( $equal(divide(identity,divide(divide(X_3,X_4),X_3)),X_4) )],[refute_0_129,refute_0_132]) ).
cnf(refute_0_134,plain,
inverse(divide(divide(X_16,X_16),X_16)) = X_16,
inference(subst,[],[refute_0_133:[bind(X_3,$fot(X_16)),bind(X_4,$fot(X_16))]]) ).
cnf(refute_0_135,plain,
identity = divide(X_16,X_16),
inference(subst,[],[identity:[bind(A,$fot(X_16))]]) ).
cnf(refute_0_136,plain,
( identity != divide(X_16,X_16)
| divide(X_16,X_16) = identity ),
inference(subst,[],[refute_0_4:[bind(X,$fot(identity)),bind(Y,$fot(divide(X_16,X_16)))]]) ).
cnf(refute_0_137,plain,
divide(X_16,X_16) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_16,X_16)) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
( divide(X_16,X_16) != identity
| inverse(divide(divide(X_16,X_16),X_16)) != X_16
| inverse(divide(identity,X_16)) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_16,X_16),X_16)),X_16) ),[0,0,0],$fot(identity)]]) ).
cnf(refute_0_139,plain,
( inverse(divide(divide(X_16,X_16),X_16)) != X_16
| inverse(divide(identity,X_16)) = X_16 ),
inference(resolve,[$cnf( $equal(divide(X_16,X_16),identity) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
inverse(divide(identity,X_16)) = X_16,
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_16,X_16),X_16)),X_16) )],[refute_0_134,refute_0_139]) ).
cnf(refute_0_141,plain,
divide(identity,X_16) = inverse(X_16),
inference(subst,[],[refute_0_34:[bind(A,$fot(X_16))]]) ).
cnf(refute_0_142,plain,
inverse(divide(identity,X_16)) = inverse(divide(identity,X_16)),
introduced(tautology,[refl,[$fot(inverse(divide(identity,X_16)))]]) ).
cnf(refute_0_143,plain,
( divide(identity,X_16) != inverse(X_16)
| inverse(divide(identity,X_16)) != inverse(divide(identity,X_16))
| inverse(divide(identity,X_16)) = inverse(inverse(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(identity,X_16)),inverse(divide(identity,X_16))) ),[1,0],$fot(inverse(X_16))]]) ).
cnf(refute_0_144,plain,
( divide(identity,X_16) != inverse(X_16)
| inverse(divide(identity,X_16)) = inverse(inverse(X_16)) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_16)),inverse(divide(identity,X_16))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
inverse(divide(identity,X_16)) = inverse(inverse(X_16)),
inference(resolve,[$cnf( $equal(divide(identity,X_16),inverse(X_16)) )],[refute_0_141,refute_0_144]) ).
cnf(refute_0_146,plain,
( inverse(divide(identity,X_16)) != X_16
| inverse(divide(identity,X_16)) != inverse(inverse(X_16))
| inverse(inverse(X_16)) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(identity,X_16)),X_16) ),[0],$fot(inverse(inverse(X_16)))]]) ).
cnf(refute_0_147,plain,
( inverse(divide(identity,X_16)) != X_16
| inverse(inverse(X_16)) = X_16 ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_16)),inverse(inverse(X_16))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
inverse(inverse(X_16)) = X_16,
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_16)),X_16) )],[refute_0_140,refute_0_147]) ).
cnf(refute_0_149,plain,
inverse(inverse(divide(X_6,identity))) = divide(X_6,identity),
inference(subst,[],[refute_0_148:[bind(X_16,$fot(divide(X_6,identity)))]]) ).
cnf(refute_0_150,plain,
( inverse(inverse(divide(X_6,identity))) != X_6
| inverse(inverse(divide(X_6,identity))) != divide(X_6,identity)
| divide(X_6,identity) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(X_6,identity))),X_6) ),[0],$fot(divide(X_6,identity))]]) ).
cnf(refute_0_151,plain,
( inverse(inverse(divide(X_6,identity))) != X_6
| divide(X_6,identity) = X_6 ),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_6,identity))),divide(X_6,identity)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
divide(X_6,identity) = X_6,
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_6,identity))),X_6) )],[refute_0_122,refute_0_151]) ).
cnf(refute_0_153,plain,
divide(divide(X_2,divide(X_2,X_4)),identity) = divide(X_2,divide(X_2,X_4)),
inference(subst,[],[refute_0_152:[bind(X_6,$fot(divide(X_2,divide(X_2,X_4))))]]) ).
cnf(refute_0_154,plain,
( divide(divide(X_2,divide(X_2,X_4)),identity) != X_4
| divide(divide(X_2,divide(X_2,X_4)),identity) != divide(X_2,divide(X_2,X_4))
| divide(X_2,divide(X_2,X_4)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_2,divide(X_2,X_4)),identity),X_4) ),[0],$fot(divide(X_2,divide(X_2,X_4)))]]) ).
cnf(refute_0_155,plain,
( divide(divide(X_2,divide(X_2,X_4)),identity) != X_4
| divide(X_2,divide(X_2,X_4)) = X_4 ),
inference(resolve,[$cnf( $equal(divide(divide(X_2,divide(X_2,X_4)),identity),divide(X_2,divide(X_2,X_4))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
divide(X_2,divide(X_2,X_4)) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(X_2,divide(X_2,X_4)),identity),X_4) )],[refute_0_76,refute_0_155]) ).
cnf(refute_0_157,plain,
divide(X_4,divide(X_4,X_28)) = X_28,
inference(subst,[],[refute_0_156:[bind(X_2,$fot(X_4)),bind(X_4,$fot(X_28))]]) ).
cnf(refute_0_158,plain,
( multiply(divide(X_4,divide(X_4,X_28)),divide(X_4,X_28)) != X_4
| divide(X_4,divide(X_4,X_28)) != X_28
| multiply(X_28,divide(X_4,X_28)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_4,divide(X_4,X_28)),divide(X_4,X_28)),X_4) ),[0,0],$fot(X_28)]]) ).
cnf(refute_0_159,plain,
( multiply(divide(X_4,divide(X_4,X_28)),divide(X_4,X_28)) != X_4
| multiply(X_28,divide(X_4,X_28)) = X_4 ),
inference(resolve,[$cnf( $equal(divide(X_4,divide(X_4,X_28)),X_28) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
multiply(X_28,divide(X_4,X_28)) = X_4,
inference(resolve,[$cnf( $equal(multiply(divide(X_4,divide(X_4,X_28)),divide(X_4,X_28)),X_4) )],[refute_0_69,refute_0_159]) ).
cnf(refute_0_161,plain,
multiply(divide(X_60,X_61),divide(X_4,divide(X_60,X_61))) = X_4,
inference(subst,[],[refute_0_160:[bind(X_28,$fot(divide(X_60,X_61)))]]) ).
cnf(refute_0_162,plain,
( multiply(X_61,multiply(divide(X_60,X_61),divide(X_4,divide(X_60,X_61)))) != multiply(X_60,divide(X_4,divide(X_60,X_61)))
| multiply(divide(X_60,X_61),divide(X_4,divide(X_60,X_61))) != X_4
| multiply(X_61,X_4) = multiply(X_60,divide(X_4,divide(X_60,X_61))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_61,multiply(divide(X_60,X_61),divide(X_4,divide(X_60,X_61)))),multiply(X_60,divide(X_4,divide(X_60,X_61)))) ),[0,1],$fot(X_4)]]) ).
cnf(refute_0_163,plain,
( multiply(X_61,multiply(divide(X_60,X_61),divide(X_4,divide(X_60,X_61)))) != multiply(X_60,divide(X_4,divide(X_60,X_61)))
| multiply(X_61,X_4) = multiply(X_60,divide(X_4,divide(X_60,X_61))) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_60,X_61),divide(X_4,divide(X_60,X_61))),X_4) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
multiply(X_61,X_4) = multiply(X_60,divide(X_4,divide(X_60,X_61))),
inference(resolve,[$cnf( $equal(multiply(X_61,multiply(divide(X_60,X_61),divide(X_4,divide(X_60,X_61)))),multiply(X_60,divide(X_4,divide(X_60,X_61)))) )],[refute_0_68,refute_0_163]) ).
cnf(refute_0_165,plain,
multiply(divide(X_45,X_44),multiply(divide(X_60,divide(X_45,X_44)),X_62)) = multiply(X_60,X_62),
inference(subst,[],[refute_0_67:[bind(X_33,$fot(X_60)),bind(X_34,$fot(divide(X_45,X_44))),bind(X_35,$fot(X_62))]]) ).
cnf(refute_0_166,plain,
multiply(X_23,inverse(X_16)) = divide(X_23,inverse(inverse(X_16))),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_23)),bind(B,$fot(inverse(X_16)))]]) ).
cnf(refute_0_167,plain,
( multiply(X_23,inverse(X_16)) != divide(X_23,inverse(inverse(X_16)))
| inverse(inverse(X_16)) != X_16
| multiply(X_23,inverse(X_16)) = divide(X_23,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_23,inverse(X_16)),divide(X_23,inverse(inverse(X_16)))) ),[1,1],$fot(X_16)]]) ).
cnf(refute_0_168,plain,
( multiply(X_23,inverse(X_16)) != divide(X_23,inverse(inverse(X_16)))
| multiply(X_23,inverse(X_16)) = divide(X_23,X_16) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_16)),X_16) )],[refute_0_148,refute_0_167]) ).
cnf(refute_0_169,plain,
multiply(X_23,inverse(X_16)) = divide(X_23,X_16),
inference(resolve,[$cnf( $equal(multiply(X_23,inverse(X_16)),divide(X_23,inverse(inverse(X_16)))) )],[refute_0_166,refute_0_168]) ).
cnf(refute_0_170,plain,
multiply(X_23,inverse(divide(X_45,X_44))) = divide(X_23,divide(X_45,X_44)),
inference(subst,[],[refute_0_169:[bind(X_16,$fot(divide(X_45,X_44)))]]) ).
cnf(refute_0_171,plain,
inverse(inverse(divide(divide(X_3,X_4),X_3))) = divide(divide(X_3,X_4),X_3),
inference(subst,[],[refute_0_148:[bind(X_16,$fot(divide(divide(X_3,X_4),X_3)))]]) ).
cnf(refute_0_172,plain,
( inverse(divide(divide(X_3,X_4),X_3)) != X_4
| inverse(inverse(divide(divide(X_3,X_4),X_3))) != divide(divide(X_3,X_4),X_3)
| inverse(X_4) = divide(divide(X_3,X_4),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(divide(X_3,X_4),X_3))),divide(divide(X_3,X_4),X_3)) ),[0,0],$fot(X_4)]]) ).
cnf(refute_0_173,plain,
( inverse(inverse(divide(divide(X_3,X_4),X_3))) != divide(divide(X_3,X_4),X_3)
| inverse(X_4) = divide(divide(X_3,X_4),X_3) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_3,X_4),X_3)),X_4) )],[refute_0_133,refute_0_172]) ).
cnf(refute_0_174,plain,
inverse(X_4) = divide(divide(X_3,X_4),X_3),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(divide(X_3,X_4),X_3))),divide(divide(X_3,X_4),X_3)) )],[refute_0_171,refute_0_173]) ).
cnf(refute_0_175,plain,
inverse(divide(X_42,X_4)) = divide(divide(X_42,divide(X_42,X_4)),X_42),
inference(subst,[],[refute_0_174:[bind(X_3,$fot(X_42)),bind(X_4,$fot(divide(X_42,X_4)))]]) ).
cnf(refute_0_176,plain,
divide(X_42,divide(X_42,X_4)) = X_4,
inference(subst,[],[refute_0_156:[bind(X_2,$fot(X_42))]]) ).
cnf(refute_0_177,plain,
( divide(X_42,divide(X_42,X_4)) != X_4
| inverse(divide(X_42,X_4)) != divide(divide(X_42,divide(X_42,X_4)),X_42)
| inverse(divide(X_42,X_4)) = divide(X_4,X_42) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_42,X_4)),divide(divide(X_42,divide(X_42,X_4)),X_42)) ),[1,0],$fot(X_4)]]) ).
cnf(refute_0_178,plain,
( inverse(divide(X_42,X_4)) != divide(divide(X_42,divide(X_42,X_4)),X_42)
| inverse(divide(X_42,X_4)) = divide(X_4,X_42) ),
inference(resolve,[$cnf( $equal(divide(X_42,divide(X_42,X_4)),X_4) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
inverse(divide(X_42,X_4)) = divide(X_4,X_42),
inference(resolve,[$cnf( $equal(inverse(divide(X_42,X_4)),divide(divide(X_42,divide(X_42,X_4)),X_42)) )],[refute_0_175,refute_0_178]) ).
cnf(refute_0_180,plain,
inverse(divide(X_45,X_44)) = divide(X_44,X_45),
inference(subst,[],[refute_0_179:[bind(X_4,$fot(X_44)),bind(X_42,$fot(X_45))]]) ).
cnf(refute_0_181,plain,
( multiply(X_23,inverse(divide(X_45,X_44))) != divide(X_23,divide(X_45,X_44))
| inverse(divide(X_45,X_44)) != divide(X_44,X_45)
| multiply(X_23,divide(X_44,X_45)) = divide(X_23,divide(X_45,X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_23,inverse(divide(X_45,X_44))),divide(X_23,divide(X_45,X_44))) ),[0,1],$fot(divide(X_44,X_45))]]) ).
cnf(refute_0_182,plain,
( multiply(X_23,inverse(divide(X_45,X_44))) != divide(X_23,divide(X_45,X_44))
| multiply(X_23,divide(X_44,X_45)) = divide(X_23,divide(X_45,X_44)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_45,X_44)),divide(X_44,X_45)) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
multiply(X_23,divide(X_44,X_45)) = divide(X_23,divide(X_45,X_44)),
inference(resolve,[$cnf( $equal(multiply(X_23,inverse(divide(X_45,X_44))),divide(X_23,divide(X_45,X_44))) )],[refute_0_170,refute_0_182]) ).
cnf(refute_0_184,plain,
multiply(X_60,divide(X_44,X_45)) = divide(X_60,divide(X_45,X_44)),
inference(subst,[],[refute_0_183:[bind(X_23,$fot(X_60))]]) ).
cnf(refute_0_185,plain,
( multiply(X_60,divide(X_44,X_45)) != divide(X_60,divide(X_45,X_44))
| divide(X_60,divide(X_45,X_44)) = multiply(X_60,divide(X_44,X_45)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_60,divide(X_44,X_45)))),bind(Y,$fot(divide(X_60,divide(X_45,X_44))))]]) ).
cnf(refute_0_186,plain,
divide(X_60,divide(X_45,X_44)) = multiply(X_60,divide(X_44,X_45)),
inference(resolve,[$cnf( $equal(multiply(X_60,divide(X_44,X_45)),divide(X_60,divide(X_45,X_44))) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
( multiply(divide(X_45,X_44),multiply(divide(X_60,divide(X_45,X_44)),X_62)) != multiply(X_60,X_62)
| divide(X_60,divide(X_45,X_44)) != multiply(X_60,divide(X_44,X_45))
| multiply(divide(X_45,X_44),multiply(multiply(X_60,divide(X_44,X_45)),X_62)) = multiply(X_60,X_62) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_45,X_44),multiply(divide(X_60,divide(X_45,X_44)),X_62)),multiply(X_60,X_62)) ),[0,1,0],$fot(multiply(X_60,divide(X_44,X_45)))]]) ).
cnf(refute_0_188,plain,
( multiply(divide(X_45,X_44),multiply(divide(X_60,divide(X_45,X_44)),X_62)) != multiply(X_60,X_62)
| multiply(divide(X_45,X_44),multiply(multiply(X_60,divide(X_44,X_45)),X_62)) = multiply(X_60,X_62) ),
inference(resolve,[$cnf( $equal(divide(X_60,divide(X_45,X_44)),multiply(X_60,divide(X_44,X_45))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
multiply(divide(X_45,X_44),multiply(multiply(X_60,divide(X_44,X_45)),X_62)) = multiply(X_60,X_62),
inference(resolve,[$cnf( $equal(multiply(divide(X_45,X_44),multiply(divide(X_60,divide(X_45,X_44)),X_62)),multiply(X_60,X_62)) )],[refute_0_165,refute_0_188]) ).
cnf(refute_0_190,plain,
multiply(X_34,multiply(divide(X_33,X_34),multiply(divide(X_60,divide(X_33,X_34)),X_62))) = multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62)),
inference(subst,[],[refute_0_67:[bind(X_35,$fot(multiply(divide(X_60,divide(X_33,X_34)),X_62)))]]) ).
cnf(refute_0_191,plain,
multiply(divide(X_33,X_34),multiply(divide(X_60,divide(X_33,X_34)),X_62)) = multiply(X_60,X_62),
inference(subst,[],[refute_0_67:[bind(X_33,$fot(X_60)),bind(X_34,$fot(divide(X_33,X_34))),bind(X_35,$fot(X_62))]]) ).
cnf(refute_0_192,plain,
( multiply(X_34,multiply(divide(X_33,X_34),multiply(divide(X_60,divide(X_33,X_34)),X_62))) != multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62))
| multiply(divide(X_33,X_34),multiply(divide(X_60,divide(X_33,X_34)),X_62)) != multiply(X_60,X_62)
| multiply(X_34,multiply(X_60,X_62)) = multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_34,multiply(divide(X_33,X_34),multiply(divide(X_60,divide(X_33,X_34)),X_62))),multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62))) ),[0,1],$fot(multiply(X_60,X_62))]]) ).
cnf(refute_0_193,plain,
( multiply(X_34,multiply(divide(X_33,X_34),multiply(divide(X_60,divide(X_33,X_34)),X_62))) != multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62))
| multiply(X_34,multiply(X_60,X_62)) = multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62)) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_33,X_34),multiply(divide(X_60,divide(X_33,X_34)),X_62)),multiply(X_60,X_62)) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
multiply(X_34,multiply(X_60,X_62)) = multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62)),
inference(resolve,[$cnf( $equal(multiply(X_34,multiply(divide(X_33,X_34),multiply(divide(X_60,divide(X_33,X_34)),X_62))),multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62))) )],[refute_0_190,refute_0_193]) ).
cnf(refute_0_195,plain,
( multiply(X_23,divide(X_44,X_45)) != divide(X_23,divide(X_45,X_44))
| divide(X_23,divide(X_45,X_44)) = multiply(X_23,divide(X_44,X_45)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_23,divide(X_44,X_45)))),bind(Y,$fot(divide(X_23,divide(X_45,X_44))))]]) ).
cnf(refute_0_196,plain,
divide(X_23,divide(X_45,X_44)) = multiply(X_23,divide(X_44,X_45)),
inference(resolve,[$cnf( $equal(multiply(X_23,divide(X_44,X_45)),divide(X_23,divide(X_45,X_44))) )],[refute_0_183,refute_0_195]) ).
cnf(refute_0_197,plain,
divide(X_60,divide(X_33,X_34)) = multiply(X_60,divide(X_34,X_33)),
inference(subst,[],[refute_0_196:[bind(X_23,$fot(X_60)),bind(X_44,$fot(X_34)),bind(X_45,$fot(X_33))]]) ).
cnf(refute_0_198,plain,
multiply(divide(X_60,divide(X_33,X_34)),X_62) = multiply(divide(X_60,divide(X_33,X_34)),X_62),
introduced(tautology,[refl,[$fot(multiply(divide(X_60,divide(X_33,X_34)),X_62))]]) ).
cnf(refute_0_199,plain,
( multiply(divide(X_60,divide(X_33,X_34)),X_62) != multiply(divide(X_60,divide(X_33,X_34)),X_62)
| divide(X_60,divide(X_33,X_34)) != multiply(X_60,divide(X_34,X_33))
| multiply(divide(X_60,divide(X_33,X_34)),X_62) = multiply(multiply(X_60,divide(X_34,X_33)),X_62) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_60,divide(X_33,X_34)),X_62),multiply(divide(X_60,divide(X_33,X_34)),X_62)) ),[1,0],$fot(multiply(X_60,divide(X_34,X_33)))]]) ).
cnf(refute_0_200,plain,
( divide(X_60,divide(X_33,X_34)) != multiply(X_60,divide(X_34,X_33))
| multiply(divide(X_60,divide(X_33,X_34)),X_62) = multiply(multiply(X_60,divide(X_34,X_33)),X_62) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_60,divide(X_33,X_34)),X_62),multiply(divide(X_60,divide(X_33,X_34)),X_62)) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
multiply(divide(X_60,divide(X_33,X_34)),X_62) = multiply(multiply(X_60,divide(X_34,X_33)),X_62),
inference(resolve,[$cnf( $equal(divide(X_60,divide(X_33,X_34)),multiply(X_60,divide(X_34,X_33))) )],[refute_0_197,refute_0_200]) ).
cnf(refute_0_202,plain,
multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62)) = multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62)),
introduced(tautology,[refl,[$fot(multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62)))]]) ).
cnf(refute_0_203,plain,
( multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62)) != multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62))
| multiply(divide(X_60,divide(X_33,X_34)),X_62) != multiply(multiply(X_60,divide(X_34,X_33)),X_62)
| multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62)) = multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62)),multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62))) ),[1,1],$fot(multiply(multiply(X_60,divide(X_34,X_33)),X_62))]]) ).
cnf(refute_0_204,plain,
( multiply(divide(X_60,divide(X_33,X_34)),X_62) != multiply(multiply(X_60,divide(X_34,X_33)),X_62)
| multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62)) = multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)) ),
inference(resolve,[$cnf( $equal(multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62)),multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62)) = multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)),
inference(resolve,[$cnf( $equal(multiply(divide(X_60,divide(X_33,X_34)),X_62),multiply(multiply(X_60,divide(X_34,X_33)),X_62)) )],[refute_0_201,refute_0_204]) ).
cnf(refute_0_206,plain,
( multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62)) != multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62))
| multiply(X_34,multiply(X_60,X_62)) != multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62))
| multiply(X_34,multiply(X_60,X_62)) = multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_34,multiply(X_60,X_62)),multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62))) ),[1],$fot(multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)))]]) ).
cnf(refute_0_207,plain,
( multiply(X_34,multiply(X_60,X_62)) != multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62))
| multiply(X_34,multiply(X_60,X_62)) = multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)) ),
inference(resolve,[$cnf( $equal(multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62)),multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
multiply(X_34,multiply(X_60,X_62)) = multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)),
inference(resolve,[$cnf( $equal(multiply(X_34,multiply(X_60,X_62)),multiply(X_33,multiply(divide(X_60,divide(X_33,X_34)),X_62))) )],[refute_0_194,refute_0_207]) ).
cnf(refute_0_209,plain,
( multiply(X_34,multiply(X_60,X_62)) != multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62))
| multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)) = multiply(X_34,multiply(X_60,X_62)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_34,multiply(X_60,X_62)))),bind(Y,$fot(multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62))))]]) ).
cnf(refute_0_210,plain,
multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)) = multiply(X_34,multiply(X_60,X_62)),
inference(resolve,[$cnf( $equal(multiply(X_34,multiply(X_60,X_62)),multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
multiply(X_45,multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44))) = multiply(X_44,multiply(X_60,divide(X_62,X_44))),
inference(subst,[],[refute_0_210:[bind(X_33,$fot(X_45)),bind(X_34,$fot(X_44)),bind(X_62,$fot(divide(X_62,X_44)))]]) ).
cnf(refute_0_212,plain,
multiply(X_61,multiply(divide(divide(X_61,X_4),X_61),X_62)) = multiply(divide(X_61,X_4),X_62),
inference(subst,[],[refute_0_67:[bind(X_33,$fot(divide(X_61,X_4))),bind(X_34,$fot(X_61)),bind(X_35,$fot(X_62))]]) ).
cnf(refute_0_213,plain,
inverse(X_4) = divide(divide(X_61,X_4),X_61),
inference(subst,[],[refute_0_174:[bind(X_3,$fot(X_61))]]) ).
cnf(refute_0_214,plain,
( inverse(X_4) != divide(divide(X_61,X_4),X_61)
| divide(divide(X_61,X_4),X_61) = inverse(X_4) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_4))),bind(Y,$fot(divide(divide(X_61,X_4),X_61)))]]) ).
cnf(refute_0_215,plain,
divide(divide(X_61,X_4),X_61) = inverse(X_4),
inference(resolve,[$cnf( $equal(inverse(X_4),divide(divide(X_61,X_4),X_61)) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
( multiply(X_61,multiply(divide(divide(X_61,X_4),X_61),X_62)) != multiply(divide(X_61,X_4),X_62)
| divide(divide(X_61,X_4),X_61) != inverse(X_4)
| multiply(X_61,multiply(inverse(X_4),X_62)) = multiply(divide(X_61,X_4),X_62) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_61,multiply(divide(divide(X_61,X_4),X_61),X_62)),multiply(divide(X_61,X_4),X_62)) ),[0,1,0],$fot(inverse(X_4))]]) ).
cnf(refute_0_217,plain,
( multiply(X_61,multiply(divide(divide(X_61,X_4),X_61),X_62)) != multiply(divide(X_61,X_4),X_62)
| multiply(X_61,multiply(inverse(X_4),X_62)) = multiply(divide(X_61,X_4),X_62) ),
inference(resolve,[$cnf( $equal(divide(divide(X_61,X_4),X_61),inverse(X_4)) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
multiply(X_61,multiply(inverse(X_4),X_62)) = multiply(divide(X_61,X_4),X_62),
inference(resolve,[$cnf( $equal(multiply(X_61,multiply(divide(divide(X_61,X_4),X_61),X_62)),multiply(divide(X_61,X_4),X_62)) )],[refute_0_212,refute_0_217]) ).
cnf(refute_0_219,plain,
divide(inverse(divide(inverse(X_6),X_4)),divide(inverse(X_4),divide(inverse(X_6),X_4))) = X_4,
inference(subst,[],[refute_0_90:[bind(X_3,$fot(divide(inverse(X_6),X_4)))]]) ).
cnf(refute_0_220,plain,
divide(inverse(X_4),divide(inverse(X_6),X_4)) = X_6,
inference(subst,[],[refute_0_90:[bind(X_3,$fot(X_4)),bind(X_4,$fot(X_6))]]) ).
cnf(refute_0_221,plain,
( divide(inverse(X_4),divide(inverse(X_6),X_4)) != X_6
| divide(inverse(divide(inverse(X_6),X_4)),divide(inverse(X_4),divide(inverse(X_6),X_4))) != X_4
| divide(inverse(divide(inverse(X_6),X_4)),X_6) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(X_6),X_4)),divide(inverse(X_4),divide(inverse(X_6),X_4))),X_4) ),[0,1],$fot(X_6)]]) ).
cnf(refute_0_222,plain,
( divide(inverse(divide(inverse(X_6),X_4)),divide(inverse(X_4),divide(inverse(X_6),X_4))) != X_4
| divide(inverse(divide(inverse(X_6),X_4)),X_6) = X_4 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_4),divide(inverse(X_6),X_4)),X_6) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
divide(inverse(divide(inverse(X_6),X_4)),X_6) = X_4,
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(X_6),X_4)),divide(inverse(X_4),divide(inverse(X_6),X_4))),X_4) )],[refute_0_219,refute_0_222]) ).
cnf(refute_0_224,plain,
divide(inverse(divide(inverse(inverse(X_16)),X_21)),inverse(X_16)) = X_21,
inference(subst,[],[refute_0_223:[bind(X_4,$fot(X_21)),bind(X_6,$fot(inverse(X_16)))]]) ).
cnf(refute_0_225,plain,
( divide(inverse(divide(inverse(inverse(X_16)),X_21)),inverse(X_16)) != X_21
| inverse(inverse(X_16)) != X_16
| divide(inverse(divide(X_16,X_21)),inverse(X_16)) = X_21 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(inverse(X_16)),X_21)),inverse(X_16)),X_21) ),[0,0,0,0],$fot(X_16)]]) ).
cnf(refute_0_226,plain,
( divide(inverse(divide(inverse(inverse(X_16)),X_21)),inverse(X_16)) != X_21
| divide(inverse(divide(X_16,X_21)),inverse(X_16)) = X_21 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_16)),X_16) )],[refute_0_148,refute_0_225]) ).
cnf(refute_0_227,plain,
divide(inverse(divide(X_16,X_21)),inverse(X_16)) = X_21,
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(inverse(X_16)),X_21)),inverse(X_16)),X_21) )],[refute_0_224,refute_0_226]) ).
cnf(refute_0_228,plain,
divide(inverse(divide(X_16,X_21)),inverse(X_16)) = multiply(inverse(divide(X_16,X_21)),X_16),
inference(subst,[],[refute_0_21:[bind(A,$fot(inverse(divide(X_16,X_21)))),bind(B,$fot(X_16))]]) ).
cnf(refute_0_229,plain,
( divide(inverse(divide(X_16,X_21)),inverse(X_16)) != X_21
| divide(inverse(divide(X_16,X_21)),inverse(X_16)) != multiply(inverse(divide(X_16,X_21)),X_16)
| multiply(inverse(divide(X_16,X_21)),X_16) = X_21 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_16,X_21)),inverse(X_16)),X_21) ),[0],$fot(multiply(inverse(divide(X_16,X_21)),X_16))]]) ).
cnf(refute_0_230,plain,
( divide(inverse(divide(X_16,X_21)),inverse(X_16)) != X_21
| multiply(inverse(divide(X_16,X_21)),X_16) = X_21 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_16,X_21)),inverse(X_16)),multiply(inverse(divide(X_16,X_21)),X_16)) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
multiply(inverse(divide(X_16,X_21)),X_16) = X_21,
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_16,X_21)),inverse(X_16)),X_21) )],[refute_0_227,refute_0_230]) ).
cnf(refute_0_232,plain,
multiply(inverse(divide(X_31,divide(X_31,X_4))),X_31) = divide(X_31,X_4),
inference(subst,[],[refute_0_231:[bind(X_16,$fot(X_31)),bind(X_21,$fot(divide(X_31,X_4)))]]) ).
cnf(refute_0_233,plain,
divide(X_31,divide(X_31,X_4)) = X_4,
inference(subst,[],[refute_0_156:[bind(X_2,$fot(X_31))]]) ).
cnf(refute_0_234,plain,
( multiply(inverse(divide(X_31,divide(X_31,X_4))),X_31) != divide(X_31,X_4)
| divide(X_31,divide(X_31,X_4)) != X_4
| multiply(inverse(X_4),X_31) = divide(X_31,X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_31,divide(X_31,X_4))),X_31),divide(X_31,X_4)) ),[0,0,0],$fot(X_4)]]) ).
cnf(refute_0_235,plain,
( multiply(inverse(divide(X_31,divide(X_31,X_4))),X_31) != divide(X_31,X_4)
| multiply(inverse(X_4),X_31) = divide(X_31,X_4) ),
inference(resolve,[$cnf( $equal(divide(X_31,divide(X_31,X_4)),X_4) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
multiply(inverse(X_4),X_31) = divide(X_31,X_4),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_31,divide(X_31,X_4))),X_31),divide(X_31,X_4)) )],[refute_0_232,refute_0_235]) ).
cnf(refute_0_237,plain,
multiply(inverse(X_4),X_62) = divide(X_62,X_4),
inference(subst,[],[refute_0_236:[bind(X_31,$fot(X_62))]]) ).
cnf(refute_0_238,plain,
multiply(X_61,multiply(inverse(X_4),X_62)) = multiply(X_61,multiply(inverse(X_4),X_62)),
introduced(tautology,[refl,[$fot(multiply(X_61,multiply(inverse(X_4),X_62)))]]) ).
cnf(refute_0_239,plain,
( multiply(X_61,multiply(inverse(X_4),X_62)) != multiply(X_61,multiply(inverse(X_4),X_62))
| multiply(inverse(X_4),X_62) != divide(X_62,X_4)
| multiply(X_61,multiply(inverse(X_4),X_62)) = multiply(X_61,divide(X_62,X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_61,multiply(inverse(X_4),X_62)),multiply(X_61,multiply(inverse(X_4),X_62))) ),[1,1],$fot(divide(X_62,X_4))]]) ).
cnf(refute_0_240,plain,
( multiply(inverse(X_4),X_62) != divide(X_62,X_4)
| multiply(X_61,multiply(inverse(X_4),X_62)) = multiply(X_61,divide(X_62,X_4)) ),
inference(resolve,[$cnf( $equal(multiply(X_61,multiply(inverse(X_4),X_62)),multiply(X_61,multiply(inverse(X_4),X_62))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
multiply(X_61,multiply(inverse(X_4),X_62)) = multiply(X_61,divide(X_62,X_4)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),X_62),divide(X_62,X_4)) )],[refute_0_237,refute_0_240]) ).
cnf(refute_0_242,plain,
( multiply(X_61,multiply(inverse(X_4),X_62)) != multiply(X_61,divide(X_62,X_4))
| multiply(X_61,multiply(inverse(X_4),X_62)) != multiply(divide(X_61,X_4),X_62)
| multiply(X_61,divide(X_62,X_4)) = multiply(divide(X_61,X_4),X_62) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_61,multiply(inverse(X_4),X_62)),multiply(divide(X_61,X_4),X_62)) ),[0],$fot(multiply(X_61,divide(X_62,X_4)))]]) ).
cnf(refute_0_243,plain,
( multiply(X_61,multiply(inverse(X_4),X_62)) != multiply(divide(X_61,X_4),X_62)
| multiply(X_61,divide(X_62,X_4)) = multiply(divide(X_61,X_4),X_62) ),
inference(resolve,[$cnf( $equal(multiply(X_61,multiply(inverse(X_4),X_62)),multiply(X_61,divide(X_62,X_4))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
multiply(X_61,divide(X_62,X_4)) = multiply(divide(X_61,X_4),X_62),
inference(resolve,[$cnf( $equal(multiply(X_61,multiply(inverse(X_4),X_62)),multiply(divide(X_61,X_4),X_62)) )],[refute_0_218,refute_0_243]) ).
cnf(refute_0_245,plain,
( multiply(X_61,divide(X_62,X_4)) != multiply(divide(X_61,X_4),X_62)
| multiply(divide(X_61,X_4),X_62) = multiply(X_61,divide(X_62,X_4)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_61,divide(X_62,X_4)))),bind(Y,$fot(multiply(divide(X_61,X_4),X_62)))]]) ).
cnf(refute_0_246,plain,
multiply(divide(X_61,X_4),X_62) = multiply(X_61,divide(X_62,X_4)),
inference(resolve,[$cnf( $equal(multiply(X_61,divide(X_62,X_4)),multiply(divide(X_61,X_4),X_62)) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
multiply(divide(multiply(X_60,divide(X_44,X_45)),X_44),X_62) = multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44)),
inference(subst,[],[refute_0_246:[bind(X_4,$fot(X_44)),bind(X_61,$fot(multiply(X_60,divide(X_44,X_45))))]]) ).
cnf(refute_0_248,plain,
divide(multiply(X_33,X_35),divide(multiply(X_33,X_35),multiply(divide(X_33,X_34),X_35))) = multiply(divide(X_33,X_34),X_35),
inference(subst,[],[refute_0_156:[bind(X_2,$fot(multiply(X_33,X_35))),bind(X_4,$fot(multiply(divide(X_33,X_34),X_35)))]]) ).
cnf(refute_0_249,plain,
( divide(multiply(X_33,X_35),multiply(divide(X_33,X_34),X_35)) != X_34
| divide(multiply(X_33,X_35),divide(multiply(X_33,X_35),multiply(divide(X_33,X_34),X_35))) != multiply(divide(X_33,X_34),X_35)
| divide(multiply(X_33,X_35),X_34) = multiply(divide(X_33,X_34),X_35) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_33,X_35),divide(multiply(X_33,X_35),multiply(divide(X_33,X_34),X_35))),multiply(divide(X_33,X_34),X_35)) ),[0,1],$fot(X_34)]]) ).
cnf(refute_0_250,plain,
( divide(multiply(X_33,X_35),divide(multiply(X_33,X_35),multiply(divide(X_33,X_34),X_35))) != multiply(divide(X_33,X_34),X_35)
| divide(multiply(X_33,X_35),X_34) = multiply(divide(X_33,X_34),X_35) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_33,X_35),multiply(divide(X_33,X_34),X_35)),X_34) )],[refute_0_64,refute_0_249]) ).
cnf(refute_0_251,plain,
divide(multiply(X_33,X_35),X_34) = multiply(divide(X_33,X_34),X_35),
inference(resolve,[$cnf( $equal(divide(multiply(X_33,X_35),divide(multiply(X_33,X_35),multiply(divide(X_33,X_34),X_35))),multiply(divide(X_33,X_34),X_35)) )],[refute_0_248,refute_0_250]) ).
cnf(refute_0_252,plain,
divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44) = multiply(divide(multiply(X_60,divide(X_44,X_45)),X_44),X_62),
inference(subst,[],[refute_0_251:[bind(X_33,$fot(multiply(X_60,divide(X_44,X_45)))),bind(X_34,$fot(X_44)),bind(X_35,$fot(X_62))]]) ).
cnf(refute_0_253,plain,
( multiply(divide(multiply(X_60,divide(X_44,X_45)),X_44),X_62) != multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44))
| divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44) != multiply(divide(multiply(X_60,divide(X_44,X_45)),X_44),X_62)
| divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44) = multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44))),bind(Y,$fot(multiply(divide(multiply(X_60,divide(X_44,X_45)),X_44),X_62))),bind(Z,$fot(multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44))))]]) ).
cnf(refute_0_254,plain,
( multiply(divide(multiply(X_60,divide(X_44,X_45)),X_44),X_62) != multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44))
| divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44) = multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44)) ),
inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44),multiply(divide(multiply(X_60,divide(X_44,X_45)),X_44),X_62)) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44) = multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44)),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(X_60,divide(X_44,X_45)),X_44),X_62),multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44))) )],[refute_0_247,refute_0_254]) ).
cnf(refute_0_256,plain,
multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44)) = multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44)),
introduced(tautology,[refl,[$fot(multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44)))]]) ).
cnf(refute_0_257,plain,
( multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44)) != multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44))
| divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44) != multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44))
| multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44)) = multiply(X_45,multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44)),multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44))) ),[1,1],$fot(multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44)))]]) ).
cnf(refute_0_258,plain,
( divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44) != multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44))
| multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44)) = multiply(X_45,multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44))) ),
inference(resolve,[$cnf( $equal(multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44)),multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44))) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44)) = multiply(X_45,multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44))),
inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44),multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44))) )],[refute_0_255,refute_0_258]) ).
cnf(refute_0_260,plain,
( multiply(X_45,multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44))) != multiply(X_44,multiply(X_60,divide(X_62,X_44)))
| multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44)) != multiply(X_45,multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44)))
| multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44)) = multiply(X_44,multiply(X_60,divide(X_62,X_44))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44)))),bind(Y,$fot(multiply(X_45,multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44))))),bind(Z,$fot(multiply(X_44,multiply(X_60,divide(X_62,X_44)))))]]) ).
cnf(refute_0_261,plain,
( multiply(X_45,multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44))) != multiply(X_44,multiply(X_60,divide(X_62,X_44)))
| multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44)) = multiply(X_44,multiply(X_60,divide(X_62,X_44))) ),
inference(resolve,[$cnf( $equal(multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44)),multiply(X_45,multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44)))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44)) = multiply(X_44,multiply(X_60,divide(X_62,X_44))),
inference(resolve,[$cnf( $equal(multiply(X_45,multiply(multiply(X_60,divide(X_44,X_45)),divide(X_62,X_44))),multiply(X_44,multiply(X_60,divide(X_62,X_44)))) )],[refute_0_211,refute_0_261]) ).
cnf(refute_0_263,plain,
multiply(divide(X_45,X_44),multiply(multiply(X_60,divide(X_44,X_45)),X_62)) = multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44)),
inference(subst,[],[refute_0_246:[bind(X_4,$fot(X_44)),bind(X_61,$fot(X_45)),bind(X_62,$fot(multiply(multiply(X_60,divide(X_44,X_45)),X_62)))]]) ).
cnf(refute_0_264,plain,
( multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44)) != multiply(X_44,multiply(X_60,divide(X_62,X_44)))
| multiply(divide(X_45,X_44),multiply(multiply(X_60,divide(X_44,X_45)),X_62)) != multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44))
| multiply(divide(X_45,X_44),multiply(multiply(X_60,divide(X_44,X_45)),X_62)) = multiply(X_44,multiply(X_60,divide(X_62,X_44))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(multiply(divide(X_45,X_44),multiply(multiply(X_60,divide(X_44,X_45)),X_62)))),bind(Y,$fot(multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44)))),bind(Z,$fot(multiply(X_44,multiply(X_60,divide(X_62,X_44)))))]]) ).
cnf(refute_0_265,plain,
( multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44)) != multiply(X_44,multiply(X_60,divide(X_62,X_44)))
| multiply(divide(X_45,X_44),multiply(multiply(X_60,divide(X_44,X_45)),X_62)) = multiply(X_44,multiply(X_60,divide(X_62,X_44))) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_45,X_44),multiply(multiply(X_60,divide(X_44,X_45)),X_62)),multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
multiply(divide(X_45,X_44),multiply(multiply(X_60,divide(X_44,X_45)),X_62)) = multiply(X_44,multiply(X_60,divide(X_62,X_44))),
inference(resolve,[$cnf( $equal(multiply(X_45,divide(multiply(multiply(X_60,divide(X_44,X_45)),X_62),X_44)),multiply(X_44,multiply(X_60,divide(X_62,X_44)))) )],[refute_0_262,refute_0_265]) ).
cnf(refute_0_267,plain,
( multiply(divide(X_45,X_44),multiply(multiply(X_60,divide(X_44,X_45)),X_62)) != multiply(X_44,multiply(X_60,divide(X_62,X_44)))
| multiply(divide(X_45,X_44),multiply(multiply(X_60,divide(X_44,X_45)),X_62)) != multiply(X_60,X_62)
| multiply(X_44,multiply(X_60,divide(X_62,X_44))) = multiply(X_60,X_62) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_45,X_44),multiply(multiply(X_60,divide(X_44,X_45)),X_62)),multiply(X_60,X_62)) ),[0],$fot(multiply(X_44,multiply(X_60,divide(X_62,X_44))))]]) ).
cnf(refute_0_268,plain,
( multiply(divide(X_45,X_44),multiply(multiply(X_60,divide(X_44,X_45)),X_62)) != multiply(X_60,X_62)
| multiply(X_44,multiply(X_60,divide(X_62,X_44))) = multiply(X_60,X_62) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_45,X_44),multiply(multiply(X_60,divide(X_44,X_45)),X_62)),multiply(X_44,multiply(X_60,divide(X_62,X_44)))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
multiply(X_44,multiply(X_60,divide(X_62,X_44))) = multiply(X_60,X_62),
inference(resolve,[$cnf( $equal(multiply(divide(X_45,X_44),multiply(multiply(X_60,divide(X_44,X_45)),X_62)),multiply(X_60,X_62)) )],[refute_0_189,refute_0_268]) ).
cnf(refute_0_270,plain,
multiply(X_60,multiply(X_4,divide(X_61,X_60))) = multiply(X_4,X_61),
inference(subst,[],[refute_0_269:[bind(X_44,$fot(X_60)),bind(X_60,$fot(X_4)),bind(X_62,$fot(X_61))]]) ).
cnf(refute_0_271,plain,
divide(X_4,divide(X_60,X_61)) = multiply(X_4,divide(X_61,X_60)),
inference(subst,[],[refute_0_196:[bind(X_23,$fot(X_4)),bind(X_44,$fot(X_61)),bind(X_45,$fot(X_60))]]) ).
cnf(refute_0_272,plain,
multiply(X_60,divide(X_4,divide(X_60,X_61))) = multiply(X_60,divide(X_4,divide(X_60,X_61))),
introduced(tautology,[refl,[$fot(multiply(X_60,divide(X_4,divide(X_60,X_61))))]]) ).
cnf(refute_0_273,plain,
( multiply(X_60,divide(X_4,divide(X_60,X_61))) != multiply(X_60,divide(X_4,divide(X_60,X_61)))
| divide(X_4,divide(X_60,X_61)) != multiply(X_4,divide(X_61,X_60))
| multiply(X_60,divide(X_4,divide(X_60,X_61))) = multiply(X_60,multiply(X_4,divide(X_61,X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_60,divide(X_4,divide(X_60,X_61))),multiply(X_60,divide(X_4,divide(X_60,X_61)))) ),[1,1],$fot(multiply(X_4,divide(X_61,X_60)))]]) ).
cnf(refute_0_274,plain,
( divide(X_4,divide(X_60,X_61)) != multiply(X_4,divide(X_61,X_60))
| multiply(X_60,divide(X_4,divide(X_60,X_61))) = multiply(X_60,multiply(X_4,divide(X_61,X_60))) ),
inference(resolve,[$cnf( $equal(multiply(X_60,divide(X_4,divide(X_60,X_61))),multiply(X_60,divide(X_4,divide(X_60,X_61)))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
multiply(X_60,divide(X_4,divide(X_60,X_61))) = multiply(X_60,multiply(X_4,divide(X_61,X_60))),
inference(resolve,[$cnf( $equal(divide(X_4,divide(X_60,X_61)),multiply(X_4,divide(X_61,X_60))) )],[refute_0_271,refute_0_274]) ).
cnf(refute_0_276,plain,
( multiply(X_60,multiply(X_4,divide(X_61,X_60))) != multiply(X_4,X_61)
| multiply(X_60,divide(X_4,divide(X_60,X_61))) != multiply(X_60,multiply(X_4,divide(X_61,X_60)))
| multiply(X_60,divide(X_4,divide(X_60,X_61))) = multiply(X_4,X_61) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(multiply(X_60,divide(X_4,divide(X_60,X_61))))),bind(Y,$fot(multiply(X_60,multiply(X_4,divide(X_61,X_60))))),bind(Z,$fot(multiply(X_4,X_61)))]]) ).
cnf(refute_0_277,plain,
( multiply(X_60,multiply(X_4,divide(X_61,X_60))) != multiply(X_4,X_61)
| multiply(X_60,divide(X_4,divide(X_60,X_61))) = multiply(X_4,X_61) ),
inference(resolve,[$cnf( $equal(multiply(X_60,divide(X_4,divide(X_60,X_61))),multiply(X_60,multiply(X_4,divide(X_61,X_60)))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
multiply(X_60,divide(X_4,divide(X_60,X_61))) = multiply(X_4,X_61),
inference(resolve,[$cnf( $equal(multiply(X_60,multiply(X_4,divide(X_61,X_60))),multiply(X_4,X_61)) )],[refute_0_270,refute_0_277]) ).
cnf(refute_0_279,plain,
( multiply(X_60,divide(X_4,divide(X_60,X_61))) != multiply(X_4,X_61)
| multiply(X_61,X_4) != multiply(X_60,divide(X_4,divide(X_60,X_61)))
| multiply(X_61,X_4) = multiply(X_4,X_61) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_61,X_4),multiply(X_60,divide(X_4,divide(X_60,X_61)))) ),[1],$fot(multiply(X_4,X_61))]]) ).
cnf(refute_0_280,plain,
( multiply(X_61,X_4) != multiply(X_60,divide(X_4,divide(X_60,X_61)))
| multiply(X_61,X_4) = multiply(X_4,X_61) ),
inference(resolve,[$cnf( $equal(multiply(X_60,divide(X_4,divide(X_60,X_61))),multiply(X_4,X_61)) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
multiply(X_61,X_4) = multiply(X_4,X_61),
inference(resolve,[$cnf( $equal(multiply(X_61,X_4),multiply(X_60,divide(X_4,divide(X_60,X_61)))) )],[refute_0_164,refute_0_280]) ).
cnf(refute_0_282,plain,
( multiply(X_61,X_4) != multiply(X_4,X_61)
| multiply(X_4,X_61) = multiply(X_61,X_4) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_61,X_4))),bind(Y,$fot(multiply(X_4,X_61)))]]) ).
cnf(refute_0_283,plain,
multiply(X_4,X_61) = multiply(X_61,X_4),
inference(resolve,[$cnf( $equal(multiply(X_61,X_4),multiply(X_4,X_61)) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_283:[bind(X_4,$fot(multiply(a3,b3))),bind(X_61,$fot(c3))]]) ).
cnf(refute_0_285,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).
cnf(refute_0_286,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_286,prove_these_axioms_3]) ).
cnf(refute_0_288,plain,
multiply(X_61,multiply(divide(X_60,X_61),multiply(divide(X_33,divide(X_60,X_61)),X_35))) = multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35)),
inference(subst,[],[refute_0_67:[bind(X_33,$fot(X_60)),bind(X_34,$fot(X_61)),bind(X_35,$fot(multiply(divide(X_33,divide(X_60,X_61)),X_35)))]]) ).
cnf(refute_0_289,plain,
multiply(divide(X_60,X_61),multiply(divide(X_33,divide(X_60,X_61)),X_35)) = multiply(X_33,X_35),
inference(subst,[],[refute_0_67:[bind(X_34,$fot(divide(X_60,X_61)))]]) ).
cnf(refute_0_290,plain,
( multiply(X_61,multiply(divide(X_60,X_61),multiply(divide(X_33,divide(X_60,X_61)),X_35))) != multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35))
| multiply(divide(X_60,X_61),multiply(divide(X_33,divide(X_60,X_61)),X_35)) != multiply(X_33,X_35)
| multiply(X_61,multiply(X_33,X_35)) = multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_61,multiply(divide(X_60,X_61),multiply(divide(X_33,divide(X_60,X_61)),X_35))),multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35))) ),[0,1],$fot(multiply(X_33,X_35))]]) ).
cnf(refute_0_291,plain,
( multiply(X_61,multiply(divide(X_60,X_61),multiply(divide(X_33,divide(X_60,X_61)),X_35))) != multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35))
| multiply(X_61,multiply(X_33,X_35)) = multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35)) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_60,X_61),multiply(divide(X_33,divide(X_60,X_61)),X_35)),multiply(X_33,X_35)) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
multiply(X_61,multiply(X_33,X_35)) = multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35)),
inference(resolve,[$cnf( $equal(multiply(X_61,multiply(divide(X_60,X_61),multiply(divide(X_33,divide(X_60,X_61)),X_35))),multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35))) )],[refute_0_288,refute_0_291]) ).
cnf(refute_0_293,plain,
divide(X_35,divide(X_60,X_61)) = multiply(X_35,divide(X_61,X_60)),
inference(subst,[],[refute_0_196:[bind(X_23,$fot(X_35)),bind(X_44,$fot(X_61)),bind(X_45,$fot(X_60))]]) ).
cnf(refute_0_294,plain,
multiply(X_33,divide(X_35,divide(X_60,X_61))) = multiply(X_33,divide(X_35,divide(X_60,X_61))),
introduced(tautology,[refl,[$fot(multiply(X_33,divide(X_35,divide(X_60,X_61))))]]) ).
cnf(refute_0_295,plain,
( multiply(X_33,divide(X_35,divide(X_60,X_61))) != multiply(X_33,divide(X_35,divide(X_60,X_61)))
| divide(X_35,divide(X_60,X_61)) != multiply(X_35,divide(X_61,X_60))
| multiply(X_33,divide(X_35,divide(X_60,X_61))) = multiply(X_33,multiply(X_35,divide(X_61,X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_33,divide(X_35,divide(X_60,X_61))),multiply(X_33,divide(X_35,divide(X_60,X_61)))) ),[1,1],$fot(multiply(X_35,divide(X_61,X_60)))]]) ).
cnf(refute_0_296,plain,
( divide(X_35,divide(X_60,X_61)) != multiply(X_35,divide(X_61,X_60))
| multiply(X_33,divide(X_35,divide(X_60,X_61))) = multiply(X_33,multiply(X_35,divide(X_61,X_60))) ),
inference(resolve,[$cnf( $equal(multiply(X_33,divide(X_35,divide(X_60,X_61))),multiply(X_33,divide(X_35,divide(X_60,X_61)))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
multiply(X_33,divide(X_35,divide(X_60,X_61))) = multiply(X_33,multiply(X_35,divide(X_61,X_60))),
inference(resolve,[$cnf( $equal(divide(X_35,divide(X_60,X_61)),multiply(X_35,divide(X_61,X_60))) )],[refute_0_293,refute_0_296]) ).
cnf(refute_0_298,plain,
multiply(divide(X_33,divide(X_60,X_61)),X_35) = multiply(X_33,divide(X_35,divide(X_60,X_61))),
inference(subst,[],[refute_0_246:[bind(X_4,$fot(divide(X_60,X_61))),bind(X_61,$fot(X_33)),bind(X_62,$fot(X_35))]]) ).
cnf(refute_0_299,plain,
( multiply(X_33,divide(X_35,divide(X_60,X_61))) != multiply(X_33,multiply(X_35,divide(X_61,X_60)))
| multiply(divide(X_33,divide(X_60,X_61)),X_35) != multiply(X_33,divide(X_35,divide(X_60,X_61)))
| multiply(divide(X_33,divide(X_60,X_61)),X_35) = multiply(X_33,multiply(X_35,divide(X_61,X_60))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(multiply(divide(X_33,divide(X_60,X_61)),X_35))),bind(Y,$fot(multiply(X_33,divide(X_35,divide(X_60,X_61))))),bind(Z,$fot(multiply(X_33,multiply(X_35,divide(X_61,X_60)))))]]) ).
cnf(refute_0_300,plain,
( multiply(X_33,divide(X_35,divide(X_60,X_61))) != multiply(X_33,multiply(X_35,divide(X_61,X_60)))
| multiply(divide(X_33,divide(X_60,X_61)),X_35) = multiply(X_33,multiply(X_35,divide(X_61,X_60))) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_33,divide(X_60,X_61)),X_35),multiply(X_33,divide(X_35,divide(X_60,X_61)))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
multiply(divide(X_33,divide(X_60,X_61)),X_35) = multiply(X_33,multiply(X_35,divide(X_61,X_60))),
inference(resolve,[$cnf( $equal(multiply(X_33,divide(X_35,divide(X_60,X_61))),multiply(X_33,multiply(X_35,divide(X_61,X_60)))) )],[refute_0_297,refute_0_300]) ).
cnf(refute_0_302,plain,
multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35)) = multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35)),
introduced(tautology,[refl,[$fot(multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35)))]]) ).
cnf(refute_0_303,plain,
( multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35)) != multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35))
| multiply(divide(X_33,divide(X_60,X_61)),X_35) != multiply(X_33,multiply(X_35,divide(X_61,X_60)))
| multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35)) = multiply(X_60,multiply(X_33,multiply(X_35,divide(X_61,X_60)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35)),multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35))) ),[1,1],$fot(multiply(X_33,multiply(X_35,divide(X_61,X_60))))]]) ).
cnf(refute_0_304,plain,
( multiply(divide(X_33,divide(X_60,X_61)),X_35) != multiply(X_33,multiply(X_35,divide(X_61,X_60)))
| multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35)) = multiply(X_60,multiply(X_33,multiply(X_35,divide(X_61,X_60)))) ),
inference(resolve,[$cnf( $equal(multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35)),multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35))) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35)) = multiply(X_60,multiply(X_33,multiply(X_35,divide(X_61,X_60)))),
inference(resolve,[$cnf( $equal(multiply(divide(X_33,divide(X_60,X_61)),X_35),multiply(X_33,multiply(X_35,divide(X_61,X_60)))) )],[refute_0_301,refute_0_304]) ).
cnf(refute_0_306,plain,
( multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35)) != multiply(X_60,multiply(X_33,multiply(X_35,divide(X_61,X_60))))
| multiply(X_61,multiply(X_33,X_35)) != multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35))
| multiply(X_61,multiply(X_33,X_35)) = multiply(X_60,multiply(X_33,multiply(X_35,divide(X_61,X_60)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_61,multiply(X_33,X_35)),multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35))) ),[1],$fot(multiply(X_60,multiply(X_33,multiply(X_35,divide(X_61,X_60)))))]]) ).
cnf(refute_0_307,plain,
( multiply(X_61,multiply(X_33,X_35)) != multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35))
| multiply(X_61,multiply(X_33,X_35)) = multiply(X_60,multiply(X_33,multiply(X_35,divide(X_61,X_60)))) ),
inference(resolve,[$cnf( $equal(multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35)),multiply(X_60,multiply(X_33,multiply(X_35,divide(X_61,X_60))))) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
multiply(X_61,multiply(X_33,X_35)) = multiply(X_60,multiply(X_33,multiply(X_35,divide(X_61,X_60)))),
inference(resolve,[$cnf( $equal(multiply(X_61,multiply(X_33,X_35)),multiply(X_60,multiply(divide(X_33,divide(X_60,X_61)),X_35))) )],[refute_0_292,refute_0_307]) ).
cnf(refute_0_309,plain,
( multiply(X_61,multiply(X_33,X_35)) != multiply(X_60,multiply(X_33,multiply(X_35,divide(X_61,X_60))))
| multiply(X_60,multiply(X_33,multiply(X_35,divide(X_61,X_60)))) = multiply(X_61,multiply(X_33,X_35)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_61,multiply(X_33,X_35)))),bind(Y,$fot(multiply(X_60,multiply(X_33,multiply(X_35,divide(X_61,X_60))))))]]) ).
cnf(refute_0_310,plain,
multiply(X_60,multiply(X_33,multiply(X_35,divide(X_61,X_60)))) = multiply(X_61,multiply(X_33,X_35)),
inference(resolve,[$cnf( $equal(multiply(X_61,multiply(X_33,X_35)),multiply(X_60,multiply(X_33,multiply(X_35,divide(X_61,X_60))))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
multiply(X_33,multiply(X_60,multiply(X_34,divide(X_62,X_33)))) = multiply(X_62,multiply(X_60,X_34)),
inference(subst,[],[refute_0_310:[bind(X_33,$fot(X_60)),bind(X_35,$fot(X_34)),bind(X_60,$fot(X_33)),bind(X_61,$fot(X_62))]]) ).
cnf(refute_0_312,plain,
multiply(divide(X_34,X_33),X_62) = multiply(X_34,divide(X_62,X_33)),
inference(subst,[],[refute_0_246:[bind(X_4,$fot(X_33)),bind(X_61,$fot(X_34))]]) ).
cnf(refute_0_313,plain,
multiply(X_60,multiply(divide(X_34,X_33),X_62)) = multiply(X_60,multiply(divide(X_34,X_33),X_62)),
introduced(tautology,[refl,[$fot(multiply(X_60,multiply(divide(X_34,X_33),X_62)))]]) ).
cnf(refute_0_314,plain,
( multiply(X_60,multiply(divide(X_34,X_33),X_62)) != multiply(X_60,multiply(divide(X_34,X_33),X_62))
| multiply(divide(X_34,X_33),X_62) != multiply(X_34,divide(X_62,X_33))
| multiply(X_60,multiply(divide(X_34,X_33),X_62)) = multiply(X_60,multiply(X_34,divide(X_62,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_60,multiply(divide(X_34,X_33),X_62)),multiply(X_60,multiply(divide(X_34,X_33),X_62))) ),[1,1],$fot(multiply(X_34,divide(X_62,X_33)))]]) ).
cnf(refute_0_315,plain,
( multiply(divide(X_34,X_33),X_62) != multiply(X_34,divide(X_62,X_33))
| multiply(X_60,multiply(divide(X_34,X_33),X_62)) = multiply(X_60,multiply(X_34,divide(X_62,X_33))) ),
inference(resolve,[$cnf( $equal(multiply(X_60,multiply(divide(X_34,X_33),X_62)),multiply(X_60,multiply(divide(X_34,X_33),X_62))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
multiply(X_60,multiply(divide(X_34,X_33),X_62)) = multiply(X_60,multiply(X_34,divide(X_62,X_33))),
inference(resolve,[$cnf( $equal(multiply(divide(X_34,X_33),X_62),multiply(X_34,divide(X_62,X_33))) )],[refute_0_312,refute_0_315]) ).
cnf(refute_0_317,plain,
multiply(multiply(X_71,X_73),B) = divide(multiply(X_71,X_73),inverse(B)),
inference(subst,[],[refute_0_19:[bind(A,$fot(multiply(X_71,X_73)))]]) ).
cnf(refute_0_318,plain,
multiply(divide(X_33,X_34),X_35) = multiply(X_33,divide(X_35,X_34)),
inference(subst,[],[refute_0_246:[bind(X_4,$fot(X_34)),bind(X_61,$fot(X_33)),bind(X_62,$fot(X_35))]]) ).
cnf(refute_0_319,plain,
( multiply(divide(X_33,X_34),X_35) != multiply(X_33,divide(X_35,X_34))
| divide(multiply(X_33,X_35),X_34) != multiply(divide(X_33,X_34),X_35)
| divide(multiply(X_33,X_35),X_34) = multiply(X_33,divide(X_35,X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_33,X_35),X_34),multiply(divide(X_33,X_34),X_35)) ),[1],$fot(multiply(X_33,divide(X_35,X_34)))]]) ).
cnf(refute_0_320,plain,
( divide(multiply(X_33,X_35),X_34) != multiply(divide(X_33,X_34),X_35)
| divide(multiply(X_33,X_35),X_34) = multiply(X_33,divide(X_35,X_34)) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_33,X_34),X_35),multiply(X_33,divide(X_35,X_34))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
divide(multiply(X_33,X_35),X_34) = multiply(X_33,divide(X_35,X_34)),
inference(resolve,[$cnf( $equal(divide(multiply(X_33,X_35),X_34),multiply(divide(X_33,X_34),X_35)) )],[refute_0_251,refute_0_320]) ).
cnf(refute_0_322,plain,
divide(multiply(X_71,X_73),inverse(B)) = multiply(X_71,divide(X_73,inverse(B))),
inference(subst,[],[refute_0_321:[bind(X_33,$fot(X_71)),bind(X_34,$fot(inverse(B))),bind(X_35,$fot(X_73))]]) ).
cnf(refute_0_323,plain,
( multiply(multiply(X_71,X_73),B) != divide(multiply(X_71,X_73),inverse(B))
| divide(multiply(X_71,X_73),inverse(B)) != multiply(X_71,divide(X_73,inverse(B)))
| multiply(multiply(X_71,X_73),B) = multiply(X_71,divide(X_73,inverse(B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_71,X_73),B),multiply(X_71,divide(X_73,inverse(B)))) ),[0],$fot(divide(multiply(X_71,X_73),inverse(B)))]]) ).
cnf(refute_0_324,plain,
( multiply(multiply(X_71,X_73),B) != divide(multiply(X_71,X_73),inverse(B))
| multiply(multiply(X_71,X_73),B) = multiply(X_71,divide(X_73,inverse(B))) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_71,X_73),inverse(B)),multiply(X_71,divide(X_73,inverse(B)))) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
multiply(multiply(X_71,X_73),B) = multiply(X_71,divide(X_73,inverse(B))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_71,X_73),B),divide(multiply(X_71,X_73),inverse(B))) )],[refute_0_317,refute_0_324]) ).
cnf(refute_0_326,plain,
divide(X_73,inverse(B)) = multiply(X_73,B),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_73))]]) ).
cnf(refute_0_327,plain,
multiply(X_71,divide(X_73,inverse(B))) = multiply(X_71,divide(X_73,inverse(B))),
introduced(tautology,[refl,[$fot(multiply(X_71,divide(X_73,inverse(B))))]]) ).
cnf(refute_0_328,plain,
( multiply(X_71,divide(X_73,inverse(B))) != multiply(X_71,divide(X_73,inverse(B)))
| divide(X_73,inverse(B)) != multiply(X_73,B)
| multiply(X_71,divide(X_73,inverse(B))) = multiply(X_71,multiply(X_73,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_71,divide(X_73,inverse(B))),multiply(X_71,divide(X_73,inverse(B)))) ),[1,1],$fot(multiply(X_73,B))]]) ).
cnf(refute_0_329,plain,
( divide(X_73,inverse(B)) != multiply(X_73,B)
| multiply(X_71,divide(X_73,inverse(B))) = multiply(X_71,multiply(X_73,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_71,divide(X_73,inverse(B))),multiply(X_71,divide(X_73,inverse(B)))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
multiply(X_71,divide(X_73,inverse(B))) = multiply(X_71,multiply(X_73,B)),
inference(resolve,[$cnf( $equal(divide(X_73,inverse(B)),multiply(X_73,B)) )],[refute_0_326,refute_0_329]) ).
cnf(refute_0_331,plain,
( multiply(X_71,divide(X_73,inverse(B))) != multiply(X_71,multiply(X_73,B))
| multiply(multiply(X_71,X_73),B) != multiply(X_71,divide(X_73,inverse(B)))
| multiply(multiply(X_71,X_73),B) = multiply(X_71,multiply(X_73,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_71,X_73),B),multiply(X_71,divide(X_73,inverse(B)))) ),[1],$fot(multiply(X_71,multiply(X_73,B)))]]) ).
cnf(refute_0_332,plain,
( multiply(multiply(X_71,X_73),B) != multiply(X_71,divide(X_73,inverse(B)))
| multiply(multiply(X_71,X_73),B) = multiply(X_71,multiply(X_73,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_71,divide(X_73,inverse(B))),multiply(X_71,multiply(X_73,B))) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
multiply(multiply(X_71,X_73),B) = multiply(X_71,multiply(X_73,B)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_71,X_73),B),multiply(X_71,divide(X_73,inverse(B)))) )],[refute_0_325,refute_0_332]) ).
cnf(refute_0_334,plain,
multiply(multiply(X_60,divide(X_34,X_33)),X_62) = multiply(X_60,multiply(divide(X_34,X_33),X_62)),
inference(subst,[],[refute_0_333:[bind(B,$fot(X_62)),bind(X_71,$fot(X_60)),bind(X_73,$fot(divide(X_34,X_33)))]]) ).
cnf(refute_0_335,plain,
( multiply(X_60,multiply(divide(X_34,X_33),X_62)) != multiply(X_60,multiply(X_34,divide(X_62,X_33)))
| multiply(multiply(X_60,divide(X_34,X_33)),X_62) != multiply(X_60,multiply(divide(X_34,X_33),X_62))
| multiply(multiply(X_60,divide(X_34,X_33)),X_62) = multiply(X_60,multiply(X_34,divide(X_62,X_33))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(multiply(multiply(X_60,divide(X_34,X_33)),X_62))),bind(Y,$fot(multiply(X_60,multiply(divide(X_34,X_33),X_62)))),bind(Z,$fot(multiply(X_60,multiply(X_34,divide(X_62,X_33)))))]]) ).
cnf(refute_0_336,plain,
( multiply(X_60,multiply(divide(X_34,X_33),X_62)) != multiply(X_60,multiply(X_34,divide(X_62,X_33)))
| multiply(multiply(X_60,divide(X_34,X_33)),X_62) = multiply(X_60,multiply(X_34,divide(X_62,X_33))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_60,divide(X_34,X_33)),X_62),multiply(X_60,multiply(divide(X_34,X_33),X_62))) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
multiply(multiply(X_60,divide(X_34,X_33)),X_62) = multiply(X_60,multiply(X_34,divide(X_62,X_33))),
inference(resolve,[$cnf( $equal(multiply(X_60,multiply(divide(X_34,X_33),X_62)),multiply(X_60,multiply(X_34,divide(X_62,X_33)))) )],[refute_0_316,refute_0_336]) ).
cnf(refute_0_338,plain,
multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)) = multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)),
introduced(tautology,[refl,[$fot(multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)))]]) ).
cnf(refute_0_339,plain,
( multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)) != multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62))
| multiply(multiply(X_60,divide(X_34,X_33)),X_62) != multiply(X_60,multiply(X_34,divide(X_62,X_33)))
| multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)) = multiply(X_33,multiply(X_60,multiply(X_34,divide(X_62,X_33)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)),multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62))) ),[1,1],$fot(multiply(X_60,multiply(X_34,divide(X_62,X_33))))]]) ).
cnf(refute_0_340,plain,
( multiply(multiply(X_60,divide(X_34,X_33)),X_62) != multiply(X_60,multiply(X_34,divide(X_62,X_33)))
| multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)) = multiply(X_33,multiply(X_60,multiply(X_34,divide(X_62,X_33)))) ),
inference(resolve,[$cnf( $equal(multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)),multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)) = multiply(X_33,multiply(X_60,multiply(X_34,divide(X_62,X_33)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_60,divide(X_34,X_33)),X_62),multiply(X_60,multiply(X_34,divide(X_62,X_33)))) )],[refute_0_337,refute_0_340]) ).
cnf(refute_0_342,plain,
( multiply(X_33,multiply(X_60,multiply(X_34,divide(X_62,X_33)))) != multiply(X_62,multiply(X_60,X_34))
| multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)) != multiply(X_33,multiply(X_60,multiply(X_34,divide(X_62,X_33))))
| multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)) = multiply(X_62,multiply(X_60,X_34)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)))),bind(Y,$fot(multiply(X_33,multiply(X_60,multiply(X_34,divide(X_62,X_33)))))),bind(Z,$fot(multiply(X_62,multiply(X_60,X_34))))]]) ).
cnf(refute_0_343,plain,
( multiply(X_33,multiply(X_60,multiply(X_34,divide(X_62,X_33)))) != multiply(X_62,multiply(X_60,X_34))
| multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)) = multiply(X_62,multiply(X_60,X_34)) ),
inference(resolve,[$cnf( $equal(multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)),multiply(X_33,multiply(X_60,multiply(X_34,divide(X_62,X_33))))) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)) = multiply(X_62,multiply(X_60,X_34)),
inference(resolve,[$cnf( $equal(multiply(X_33,multiply(X_60,multiply(X_34,divide(X_62,X_33)))),multiply(X_62,multiply(X_60,X_34))) )],[refute_0_311,refute_0_343]) ).
cnf(refute_0_345,plain,
( multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)) != multiply(X_62,multiply(X_60,X_34))
| multiply(X_34,multiply(X_60,X_62)) != multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62))
| multiply(X_34,multiply(X_60,X_62)) = multiply(X_62,multiply(X_60,X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_34,multiply(X_60,X_62)),multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62))) ),[1],$fot(multiply(X_62,multiply(X_60,X_34)))]]) ).
cnf(refute_0_346,plain,
( multiply(X_34,multiply(X_60,X_62)) != multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62))
| multiply(X_34,multiply(X_60,X_62)) = multiply(X_62,multiply(X_60,X_34)) ),
inference(resolve,[$cnf( $equal(multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62)),multiply(X_62,multiply(X_60,X_34))) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
multiply(X_34,multiply(X_60,X_62)) = multiply(X_62,multiply(X_60,X_34)),
inference(resolve,[$cnf( $equal(multiply(X_34,multiply(X_60,X_62)),multiply(X_33,multiply(multiply(X_60,divide(X_34,X_33)),X_62))) )],[refute_0_208,refute_0_346]) ).
cnf(refute_0_348,plain,
( multiply(X_34,multiply(X_60,X_62)) != multiply(X_62,multiply(X_60,X_34))
| multiply(X_62,multiply(X_60,X_34)) = multiply(X_34,multiply(X_60,X_62)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_34,multiply(X_60,X_62)))),bind(Y,$fot(multiply(X_62,multiply(X_60,X_34))))]]) ).
cnf(refute_0_349,plain,
multiply(X_62,multiply(X_60,X_34)) = multiply(X_34,multiply(X_60,X_62)),
inference(resolve,[$cnf( $equal(multiply(X_34,multiply(X_60,X_62)),multiply(X_62,multiply(X_60,X_34))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
multiply(c3,multiply(a3,b3)) = multiply(b3,multiply(a3,c3)),
inference(subst,[],[refute_0_349:[bind(X_34,$fot(b3)),bind(X_60,$fot(a3)),bind(X_62,$fot(c3))]]) ).
cnf(refute_0_351,plain,
( multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(b3,multiply(a3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(b3,multiply(a3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_352,plain,
( multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(b3,multiply(a3,c3))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_352,refute_0_287]) ).
cnf(refute_0_354,plain,
inverse(divide(X_42,multiply(X_85,X_84))) = divide(multiply(X_85,X_84),X_42),
inference(subst,[],[refute_0_179:[bind(X_4,$fot(multiply(X_85,X_84)))]]) ).
cnf(refute_0_355,plain,
inverse(divide(divide(divide(A,B),divide(divide(A,C),B)),divide(A,B))) = divide(divide(A,C),B),
inference(subst,[],[refute_0_133:[bind(X_3,$fot(divide(A,B))),bind(X_4,$fot(divide(divide(A,C),B)))]]) ).
cnf(refute_0_356,plain,
( divide(divide(A,B),divide(divide(A,C),B)) != C
| inverse(divide(divide(divide(A,B),divide(divide(A,C),B)),divide(A,B))) != divide(divide(A,C),B)
| inverse(divide(C,divide(A,B))) = divide(divide(A,C),B) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(divide(A,B),divide(divide(A,C),B)),divide(A,B))),divide(divide(A,C),B)) ),[0,0,0],$fot(C)]]) ).
cnf(refute_0_357,plain,
( inverse(divide(divide(divide(A,B),divide(divide(A,C),B)),divide(A,B))) != divide(divide(A,C),B)
| inverse(divide(C,divide(A,B))) = divide(divide(A,C),B) ),
inference(resolve,[$cnf( $equal(divide(divide(A,B),divide(divide(A,C),B)),C) )],[single_axiom,refute_0_356]) ).
cnf(refute_0_358,plain,
inverse(divide(C,divide(A,B))) = divide(divide(A,C),B),
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(A,B),divide(divide(A,C),B)),divide(A,B))),divide(divide(A,C),B)) )],[refute_0_355,refute_0_357]) ).
cnf(refute_0_359,plain,
inverse(divide(C,divide(A,B))) = divide(divide(A,B),C),
inference(subst,[],[refute_0_179:[bind(X_4,$fot(divide(A,B))),bind(X_42,$fot(C))]]) ).
cnf(refute_0_360,plain,
( inverse(divide(C,divide(A,B))) != divide(divide(A,B),C)
| inverse(divide(C,divide(A,B))) != divide(divide(A,C),B)
| divide(divide(A,B),C) = divide(divide(A,C),B) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(C,divide(A,B))),divide(divide(A,C),B)) ),[0],$fot(divide(divide(A,B),C))]]) ).
cnf(refute_0_361,plain,
( inverse(divide(C,divide(A,B))) != divide(divide(A,C),B)
| divide(divide(A,B),C) = divide(divide(A,C),B) ),
inference(resolve,[$cnf( $equal(inverse(divide(C,divide(A,B))),divide(divide(A,B),C)) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
divide(divide(A,B),C) = divide(divide(A,C),B),
inference(resolve,[$cnf( $equal(inverse(divide(C,divide(A,B))),divide(divide(A,C),B)) )],[refute_0_358,refute_0_361]) ).
cnf(refute_0_363,plain,
divide(X_27,divide(X_27,inverse(B))) = inverse(B),
inference(subst,[],[refute_0_156:[bind(X_2,$fot(X_27)),bind(X_4,$fot(inverse(B)))]]) ).
cnf(refute_0_364,plain,
multiply(X_27,B) = divide(X_27,inverse(B)),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_27))]]) ).
cnf(refute_0_365,plain,
( multiply(X_27,B) != divide(X_27,inverse(B))
| divide(X_27,inverse(B)) = multiply(X_27,B) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_27,B))),bind(Y,$fot(divide(X_27,inverse(B))))]]) ).
cnf(refute_0_366,plain,
divide(X_27,inverse(B)) = multiply(X_27,B),
inference(resolve,[$cnf( $equal(multiply(X_27,B),divide(X_27,inverse(B))) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
( divide(X_27,divide(X_27,inverse(B))) != inverse(B)
| divide(X_27,inverse(B)) != multiply(X_27,B)
| divide(X_27,multiply(X_27,B)) = inverse(B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_27,divide(X_27,inverse(B))),inverse(B)) ),[0,1],$fot(multiply(X_27,B))]]) ).
cnf(refute_0_368,plain,
( divide(X_27,divide(X_27,inverse(B))) != inverse(B)
| divide(X_27,multiply(X_27,B)) = inverse(B) ),
inference(resolve,[$cnf( $equal(divide(X_27,inverse(B)),multiply(X_27,B)) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
divide(X_27,multiply(X_27,B)) = inverse(B),
inference(resolve,[$cnf( $equal(divide(X_27,divide(X_27,inverse(B))),inverse(B)) )],[refute_0_363,refute_0_368]) ).
cnf(refute_0_370,plain,
divide(X_27,multiply(X_27,multiply(divide(X_60,X_27),X_62))) = inverse(multiply(divide(X_60,X_27),X_62)),
inference(subst,[],[refute_0_369:[bind(B,$fot(multiply(divide(X_60,X_27),X_62)))]]) ).
cnf(refute_0_371,plain,
multiply(X_27,multiply(divide(X_60,X_27),X_62)) = multiply(X_60,X_62),
inference(subst,[],[refute_0_67:[bind(X_33,$fot(X_60)),bind(X_34,$fot(X_27)),bind(X_35,$fot(X_62))]]) ).
cnf(refute_0_372,plain,
( multiply(X_27,multiply(divide(X_60,X_27),X_62)) != multiply(X_60,X_62)
| divide(X_27,multiply(X_27,multiply(divide(X_60,X_27),X_62))) != inverse(multiply(divide(X_60,X_27),X_62))
| divide(X_27,multiply(X_60,X_62)) = inverse(multiply(divide(X_60,X_27),X_62)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_27,multiply(X_27,multiply(divide(X_60,X_27),X_62))),inverse(multiply(divide(X_60,X_27),X_62))) ),[0,1],$fot(multiply(X_60,X_62))]]) ).
cnf(refute_0_373,plain,
( divide(X_27,multiply(X_27,multiply(divide(X_60,X_27),X_62))) != inverse(multiply(divide(X_60,X_27),X_62))
| divide(X_27,multiply(X_60,X_62)) = inverse(multiply(divide(X_60,X_27),X_62)) ),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(divide(X_60,X_27),X_62)),multiply(X_60,X_62)) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
divide(X_27,multiply(X_60,X_62)) = inverse(multiply(divide(X_60,X_27),X_62)),
inference(resolve,[$cnf( $equal(divide(X_27,multiply(X_27,multiply(divide(X_60,X_27),X_62))),inverse(multiply(divide(X_60,X_27),X_62))) )],[refute_0_370,refute_0_373]) ).
cnf(refute_0_375,plain,
divide(divide(X_55,X_56),multiply(divide(X_55,X_56),multiply(X_54,divide(X_56,X_55)))) = inverse(multiply(X_54,divide(X_56,X_55))),
inference(subst,[],[refute_0_369:[bind(B,$fot(multiply(X_54,divide(X_56,X_55)))),bind(X_27,$fot(divide(X_55,X_56)))]]) ).
cnf(refute_0_376,plain,
multiply(divide(X_9,X_9),X_9) = X_9,
inference(subst,[],[refute_0_47:[bind(X_3,$fot(X_9)),bind(X_4,$fot(X_9))]]) ).
cnf(refute_0_377,plain,
identity = divide(X_9,X_9),
inference(subst,[],[identity:[bind(A,$fot(X_9))]]) ).
cnf(refute_0_378,plain,
( identity != divide(X_9,X_9)
| divide(X_9,X_9) = identity ),
inference(subst,[],[refute_0_4:[bind(X,$fot(identity)),bind(Y,$fot(divide(X_9,X_9)))]]) ).
cnf(refute_0_379,plain,
divide(X_9,X_9) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_9,X_9)) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
( multiply(divide(X_9,X_9),X_9) != X_9
| divide(X_9,X_9) != identity
| multiply(identity,X_9) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_9,X_9),X_9),X_9) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_381,plain,
( multiply(divide(X_9,X_9),X_9) != X_9
| multiply(identity,X_9) = X_9 ),
inference(resolve,[$cnf( $equal(divide(X_9,X_9),identity) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
multiply(identity,X_9) = X_9,
inference(resolve,[$cnf( $equal(multiply(divide(X_9,X_9),X_9),X_9) )],[refute_0_376,refute_0_381]) ).
cnf(refute_0_383,plain,
multiply(identity,multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51)))) = multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51))),
inference(subst,[],[refute_0_382:[bind(X_9,$fot(multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51)))))]]) ).
cnf(refute_0_384,plain,
divide(divide(divide(X_2,X_3),divide(divide(X_2,X_4),X_3)),divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))) = C,
inference(subst,[],[single_axiom:[bind(A,$fot(divide(X_2,X_3))),bind(B,$fot(divide(divide(X_2,X_4),X_3)))]]) ).
cnf(refute_0_385,plain,
divide(divide(X_2,X_3),divide(divide(X_2,X_4),X_3)) = X_4,
inference(subst,[],[single_axiom:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_386,plain,
( divide(divide(X_2,X_3),divide(divide(X_2,X_4),X_3)) != X_4
| divide(divide(divide(X_2,X_3),divide(divide(X_2,X_4),X_3)),divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))) != C
| divide(X_4,divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_2,X_3),divide(divide(X_2,X_4),X_3)),divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))),C) ),[0,0],$fot(X_4)]]) ).
cnf(refute_0_387,plain,
( divide(divide(divide(X_2,X_3),divide(divide(X_2,X_4),X_3)),divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))) != C
| divide(X_4,divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))) = C ),
inference(resolve,[$cnf( $equal(divide(divide(X_2,X_3),divide(divide(X_2,X_4),X_3)),X_4) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
divide(X_4,divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))) = C,
inference(resolve,[$cnf( $equal(divide(divide(divide(X_2,X_3),divide(divide(X_2,X_4),X_3)),divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))),C) )],[refute_0_384,refute_0_387]) ).
cnf(refute_0_389,plain,
divide(C,divide(X_2,X_3)) = multiply(C,divide(X_3,X_2)),
inference(subst,[],[refute_0_196:[bind(X_23,$fot(C)),bind(X_44,$fot(X_3)),bind(X_45,$fot(X_2))]]) ).
cnf(refute_0_390,plain,
multiply(divide(divide(X_2,X_4),X_3),divide(C,divide(X_2,X_3))) = multiply(divide(divide(X_2,X_4),X_3),divide(C,divide(X_2,X_3))),
introduced(tautology,[refl,[$fot(multiply(divide(divide(X_2,X_4),X_3),divide(C,divide(X_2,X_3))))]]) ).
cnf(refute_0_391,plain,
( multiply(divide(divide(X_2,X_4),X_3),divide(C,divide(X_2,X_3))) != multiply(divide(divide(X_2,X_4),X_3),divide(C,divide(X_2,X_3)))
| divide(C,divide(X_2,X_3)) != multiply(C,divide(X_3,X_2))
| multiply(divide(divide(X_2,X_4),X_3),divide(C,divide(X_2,X_3))) = multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(divide(X_2,X_4),X_3),divide(C,divide(X_2,X_3))),multiply(divide(divide(X_2,X_4),X_3),divide(C,divide(X_2,X_3)))) ),[1,1],$fot(multiply(C,divide(X_3,X_2)))]]) ).
cnf(refute_0_392,plain,
( divide(C,divide(X_2,X_3)) != multiply(C,divide(X_3,X_2))
| multiply(divide(divide(X_2,X_4),X_3),divide(C,divide(X_2,X_3))) = multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2))) ),
inference(resolve,[$cnf( $equal(multiply(divide(divide(X_2,X_4),X_3),divide(C,divide(X_2,X_3))),multiply(divide(divide(X_2,X_4),X_3),divide(C,divide(X_2,X_3)))) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
multiply(divide(divide(X_2,X_4),X_3),divide(C,divide(X_2,X_3))) = multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2))),
inference(resolve,[$cnf( $equal(divide(C,divide(X_2,X_3)),multiply(C,divide(X_3,X_2))) )],[refute_0_389,refute_0_392]) ).
cnf(refute_0_394,plain,
divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C)) = multiply(divide(divide(X_2,X_4),X_3),divide(C,divide(X_2,X_3))),
inference(subst,[],[refute_0_196:[bind(X_23,$fot(divide(divide(X_2,X_4),X_3))),bind(X_44,$fot(C)),bind(X_45,$fot(divide(X_2,X_3)))]]) ).
cnf(refute_0_395,plain,
( multiply(divide(divide(X_2,X_4),X_3),divide(C,divide(X_2,X_3))) != multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2)))
| divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C)) != multiply(divide(divide(X_2,X_4),X_3),divide(C,divide(X_2,X_3)))
| divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C)) = multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C)))),bind(Y,$fot(multiply(divide(divide(X_2,X_4),X_3),divide(C,divide(X_2,X_3))))),bind(Z,$fot(multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2)))))]]) ).
cnf(refute_0_396,plain,
( multiply(divide(divide(X_2,X_4),X_3),divide(C,divide(X_2,X_3))) != multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2)))
| divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C)) = multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2))) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C)),multiply(divide(divide(X_2,X_4),X_3),divide(C,divide(X_2,X_3)))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C)) = multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2))),
inference(resolve,[$cnf( $equal(multiply(divide(divide(X_2,X_4),X_3),divide(C,divide(X_2,X_3))),multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2)))) )],[refute_0_393,refute_0_396]) ).
cnf(refute_0_398,plain,
multiply(X_4,divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C))) = multiply(X_4,divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C))),
introduced(tautology,[refl,[$fot(multiply(X_4,divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C))))]]) ).
cnf(refute_0_399,plain,
( multiply(X_4,divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C))) != multiply(X_4,divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C)))
| divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C)) != multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2)))
| multiply(X_4,divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C))) = multiply(X_4,multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_4,divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C))),multiply(X_4,divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C)))) ),[1,1],$fot(multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2))))]]) ).
cnf(refute_0_400,plain,
( divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C)) != multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2)))
| multiply(X_4,divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C))) = multiply(X_4,multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2)))) ),
inference(resolve,[$cnf( $equal(multiply(X_4,divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C))),multiply(X_4,divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C)))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
multiply(X_4,divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C))) = multiply(X_4,multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2)))),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C)),multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2)))) )],[refute_0_397,refute_0_400]) ).
cnf(refute_0_402,plain,
divide(X_4,divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))) = multiply(X_4,divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C))),
inference(subst,[],[refute_0_196:[bind(X_23,$fot(X_4)),bind(X_44,$fot(divide(divide(X_2,X_4),X_3))),bind(X_45,$fot(divide(divide(X_2,X_3),C)))]]) ).
cnf(refute_0_403,plain,
( multiply(X_4,divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C))) != multiply(X_4,multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2))))
| divide(X_4,divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))) != multiply(X_4,divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C)))
| divide(X_4,divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))) = multiply(X_4,multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2)))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(divide(X_4,divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))))),bind(Y,$fot(multiply(X_4,divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C))))),bind(Z,$fot(multiply(X_4,multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2))))))]]) ).
cnf(refute_0_404,plain,
( multiply(X_4,divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C))) != multiply(X_4,multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2))))
| divide(X_4,divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))) = multiply(X_4,multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2)))) ),
inference(resolve,[$cnf( $equal(divide(X_4,divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))),multiply(X_4,divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C)))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
divide(X_4,divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))) = multiply(X_4,multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2)))),
inference(resolve,[$cnf( $equal(multiply(X_4,divide(divide(divide(X_2,X_4),X_3),divide(divide(X_2,X_3),C))),multiply(X_4,multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2))))) )],[refute_0_401,refute_0_404]) ).
cnf(refute_0_406,plain,
( divide(X_4,divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))) != C
| divide(X_4,divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))) != multiply(X_4,multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2))))
| multiply(X_4,multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_4,divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))),C) ),[0],$fot(multiply(X_4,multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2)))))]]) ).
cnf(refute_0_407,plain,
( divide(X_4,divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))) != C
| multiply(X_4,multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2)))) = C ),
inference(resolve,[$cnf( $equal(divide(X_4,divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))),multiply(X_4,multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2))))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
multiply(X_4,multiply(divide(divide(X_2,X_4),X_3),multiply(C,divide(X_3,X_2)))) = C,
inference(resolve,[$cnf( $equal(divide(X_4,divide(divide(divide(X_2,X_3),C),divide(divide(X_2,X_4),X_3))),C) )],[refute_0_388,refute_0_407]) ).
cnf(refute_0_409,plain,
multiply(identity,multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51)))) = X_50,
inference(subst,[],[refute_0_408:[bind(C,$fot(X_50)),bind(X_2,$fot(X_51)),bind(X_3,$fot(X_52)),bind(X_4,$fot(identity))]]) ).
cnf(refute_0_410,plain,
( multiply(identity,multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51)))) != X_50
| multiply(identity,multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51)))) != multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51)))
| X_50 = multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51)))),multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51)))) ),[0],$fot(X_50)]]) ).
cnf(refute_0_411,plain,
( multiply(identity,multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51)))) != multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51)))
| X_50 = multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51))) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51)))),X_50) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
X_50 = multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51))),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51)))),multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51)))) )],[refute_0_383,refute_0_411]) ).
cnf(refute_0_413,plain,
divide(X_51,identity) = X_51,
inference(subst,[],[refute_0_152:[bind(X_6,$fot(X_51))]]) ).
cnf(refute_0_414,plain,
divide(divide(X_51,identity),X_52) = divide(divide(X_51,identity),X_52),
introduced(tautology,[refl,[$fot(divide(divide(X_51,identity),X_52))]]) ).
cnf(refute_0_415,plain,
( divide(X_51,identity) != X_51
| divide(divide(X_51,identity),X_52) != divide(divide(X_51,identity),X_52)
| divide(divide(X_51,identity),X_52) = divide(X_51,X_52) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_51,identity),X_52),divide(divide(X_51,identity),X_52)) ),[1,0],$fot(X_51)]]) ).
cnf(refute_0_416,plain,
( divide(X_51,identity) != X_51
| divide(divide(X_51,identity),X_52) = divide(X_51,X_52) ),
inference(resolve,[$cnf( $equal(divide(divide(X_51,identity),X_52),divide(divide(X_51,identity),X_52)) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
divide(divide(X_51,identity),X_52) = divide(X_51,X_52),
inference(resolve,[$cnf( $equal(divide(X_51,identity),X_51) )],[refute_0_413,refute_0_416]) ).
cnf(refute_0_418,plain,
multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51))) = multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51))),
introduced(tautology,[refl,[$fot(multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51))))]]) ).
cnf(refute_0_419,plain,
( multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51))) != multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51)))
| divide(divide(X_51,identity),X_52) != divide(X_51,X_52)
| multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51))) = multiply(divide(X_51,X_52),multiply(X_50,divide(X_52,X_51))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51))),multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51)))) ),[1,0],$fot(divide(X_51,X_52))]]) ).
cnf(refute_0_420,plain,
( divide(divide(X_51,identity),X_52) != divide(X_51,X_52)
| multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51))) = multiply(divide(X_51,X_52),multiply(X_50,divide(X_52,X_51))) ),
inference(resolve,[$cnf( $equal(multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51))),multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51)))) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51))) = multiply(divide(X_51,X_52),multiply(X_50,divide(X_52,X_51))),
inference(resolve,[$cnf( $equal(divide(divide(X_51,identity),X_52),divide(X_51,X_52)) )],[refute_0_417,refute_0_420]) ).
cnf(refute_0_422,plain,
( X_50 != multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51)))
| multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51))) != multiply(divide(X_51,X_52),multiply(X_50,divide(X_52,X_51)))
| X_50 = multiply(divide(X_51,X_52),multiply(X_50,divide(X_52,X_51))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_50,multiply(divide(X_51,X_52),multiply(X_50,divide(X_52,X_51)))) ),[0],$fot(multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51))))]]) ).
cnf(refute_0_423,plain,
( X_50 != multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51)))
| X_50 = multiply(divide(X_51,X_52),multiply(X_50,divide(X_52,X_51))) ),
inference(resolve,[$cnf( $equal(multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51))),multiply(divide(X_51,X_52),multiply(X_50,divide(X_52,X_51)))) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
X_50 = multiply(divide(X_51,X_52),multiply(X_50,divide(X_52,X_51))),
inference(resolve,[$cnf( $equal(X_50,multiply(divide(divide(X_51,identity),X_52),multiply(X_50,divide(X_52,X_51)))) )],[refute_0_412,refute_0_423]) ).
cnf(refute_0_425,plain,
X_54 = multiply(divide(X_55,X_56),multiply(X_54,divide(X_56,X_55))),
inference(subst,[],[refute_0_424:[bind(X_50,$fot(X_54)),bind(X_51,$fot(X_55)),bind(X_52,$fot(X_56))]]) ).
cnf(refute_0_426,plain,
( X_54 != multiply(divide(X_55,X_56),multiply(X_54,divide(X_56,X_55)))
| multiply(divide(X_55,X_56),multiply(X_54,divide(X_56,X_55))) = X_54 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_54)),bind(Y,$fot(multiply(divide(X_55,X_56),multiply(X_54,divide(X_56,X_55)))))]]) ).
cnf(refute_0_427,plain,
multiply(divide(X_55,X_56),multiply(X_54,divide(X_56,X_55))) = X_54,
inference(resolve,[$cnf( $equal(X_54,multiply(divide(X_55,X_56),multiply(X_54,divide(X_56,X_55)))) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
( multiply(divide(X_55,X_56),multiply(X_54,divide(X_56,X_55))) != X_54
| divide(divide(X_55,X_56),multiply(divide(X_55,X_56),multiply(X_54,divide(X_56,X_55)))) != inverse(multiply(X_54,divide(X_56,X_55)))
| divide(divide(X_55,X_56),X_54) = inverse(multiply(X_54,divide(X_56,X_55))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_55,X_56),multiply(divide(X_55,X_56),multiply(X_54,divide(X_56,X_55)))),inverse(multiply(X_54,divide(X_56,X_55)))) ),[0,1],$fot(X_54)]]) ).
cnf(refute_0_429,plain,
( divide(divide(X_55,X_56),multiply(divide(X_55,X_56),multiply(X_54,divide(X_56,X_55)))) != inverse(multiply(X_54,divide(X_56,X_55)))
| divide(divide(X_55,X_56),X_54) = inverse(multiply(X_54,divide(X_56,X_55))) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_55,X_56),multiply(X_54,divide(X_56,X_55))),X_54) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
divide(divide(X_55,X_56),X_54) = inverse(multiply(X_54,divide(X_56,X_55))),
inference(resolve,[$cnf( $equal(divide(divide(X_55,X_56),multiply(divide(X_55,X_56),multiply(X_54,divide(X_56,X_55)))),inverse(multiply(X_54,divide(X_56,X_55)))) )],[refute_0_375,refute_0_429]) ).
cnf(refute_0_431,plain,
( divide(divide(X_55,X_56),X_54) != inverse(multiply(X_54,divide(X_56,X_55)))
| inverse(multiply(X_54,divide(X_56,X_55))) = divide(divide(X_55,X_56),X_54) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(divide(divide(X_55,X_56),X_54))),bind(Y,$fot(inverse(multiply(X_54,divide(X_56,X_55)))))]]) ).
cnf(refute_0_432,plain,
inverse(multiply(X_54,divide(X_56,X_55))) = divide(divide(X_55,X_56),X_54),
inference(resolve,[$cnf( $equal(divide(divide(X_55,X_56),X_54),inverse(multiply(X_54,divide(X_56,X_55)))) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
inverse(multiply(X_60,divide(X_62,X_27))) = divide(divide(X_27,X_62),X_60),
inference(subst,[],[refute_0_432:[bind(X_54,$fot(X_60)),bind(X_55,$fot(X_27)),bind(X_56,$fot(X_62))]]) ).
cnf(refute_0_434,plain,
multiply(divide(X_60,X_27),X_62) = multiply(X_60,divide(X_62,X_27)),
inference(subst,[],[refute_0_246:[bind(X_4,$fot(X_27)),bind(X_61,$fot(X_60))]]) ).
cnf(refute_0_435,plain,
inverse(multiply(divide(X_60,X_27),X_62)) = inverse(multiply(divide(X_60,X_27),X_62)),
introduced(tautology,[refl,[$fot(inverse(multiply(divide(X_60,X_27),X_62)))]]) ).
cnf(refute_0_436,plain,
( multiply(divide(X_60,X_27),X_62) != multiply(X_60,divide(X_62,X_27))
| inverse(multiply(divide(X_60,X_27),X_62)) != inverse(multiply(divide(X_60,X_27),X_62))
| inverse(multiply(divide(X_60,X_27),X_62)) = inverse(multiply(X_60,divide(X_62,X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(X_60,X_27),X_62)),inverse(multiply(divide(X_60,X_27),X_62))) ),[1,0],$fot(multiply(X_60,divide(X_62,X_27)))]]) ).
cnf(refute_0_437,plain,
( multiply(divide(X_60,X_27),X_62) != multiply(X_60,divide(X_62,X_27))
| inverse(multiply(divide(X_60,X_27),X_62)) = inverse(multiply(X_60,divide(X_62,X_27))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(X_60,X_27),X_62)),inverse(multiply(divide(X_60,X_27),X_62))) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
inverse(multiply(divide(X_60,X_27),X_62)) = inverse(multiply(X_60,divide(X_62,X_27))),
inference(resolve,[$cnf( $equal(multiply(divide(X_60,X_27),X_62),multiply(X_60,divide(X_62,X_27))) )],[refute_0_434,refute_0_437]) ).
cnf(refute_0_439,plain,
( inverse(multiply(X_60,divide(X_62,X_27))) != divide(divide(X_27,X_62),X_60)
| inverse(multiply(divide(X_60,X_27),X_62)) != inverse(multiply(X_60,divide(X_62,X_27)))
| inverse(multiply(divide(X_60,X_27),X_62)) = divide(divide(X_27,X_62),X_60) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(inverse(multiply(divide(X_60,X_27),X_62)))),bind(Y,$fot(inverse(multiply(X_60,divide(X_62,X_27))))),bind(Z,$fot(divide(divide(X_27,X_62),X_60)))]]) ).
cnf(refute_0_440,plain,
( inverse(multiply(X_60,divide(X_62,X_27))) != divide(divide(X_27,X_62),X_60)
| inverse(multiply(divide(X_60,X_27),X_62)) = divide(divide(X_27,X_62),X_60) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(X_60,X_27),X_62)),inverse(multiply(X_60,divide(X_62,X_27)))) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
inverse(multiply(divide(X_60,X_27),X_62)) = divide(divide(X_27,X_62),X_60),
inference(resolve,[$cnf( $equal(inverse(multiply(X_60,divide(X_62,X_27))),divide(divide(X_27,X_62),X_60)) )],[refute_0_433,refute_0_440]) ).
cnf(refute_0_442,plain,
( divide(X_27,multiply(X_60,X_62)) != inverse(multiply(divide(X_60,X_27),X_62))
| inverse(multiply(divide(X_60,X_27),X_62)) != divide(divide(X_27,X_62),X_60)
| divide(X_27,multiply(X_60,X_62)) = divide(divide(X_27,X_62),X_60) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_27,multiply(X_60,X_62)),divide(divide(X_27,X_62),X_60)) ),[0],$fot(inverse(multiply(divide(X_60,X_27),X_62)))]]) ).
cnf(refute_0_443,plain,
( divide(X_27,multiply(X_60,X_62)) != inverse(multiply(divide(X_60,X_27),X_62))
| divide(X_27,multiply(X_60,X_62)) = divide(divide(X_27,X_62),X_60) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(X_60,X_27),X_62)),divide(divide(X_27,X_62),X_60)) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
divide(X_27,multiply(X_60,X_62)) = divide(divide(X_27,X_62),X_60),
inference(resolve,[$cnf( $equal(divide(X_27,multiply(X_60,X_62)),inverse(multiply(divide(X_60,X_27),X_62))) )],[refute_0_374,refute_0_443]) ).
cnf(refute_0_445,plain,
( divide(X_27,multiply(X_60,X_62)) != divide(divide(X_27,X_62),X_60)
| divide(divide(X_27,X_62),X_60) = divide(X_27,multiply(X_60,X_62)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(divide(X_27,multiply(X_60,X_62)))),bind(Y,$fot(divide(divide(X_27,X_62),X_60)))]]) ).
cnf(refute_0_446,plain,
divide(divide(X_27,X_62),X_60) = divide(X_27,multiply(X_60,X_62)),
inference(resolve,[$cnf( $equal(divide(X_27,multiply(X_60,X_62)),divide(divide(X_27,X_62),X_60)) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
divide(divide(A,B),C) = divide(A,multiply(C,B)),
inference(subst,[],[refute_0_446:[bind(X_27,$fot(A)),bind(X_60,$fot(C)),bind(X_62,$fot(B))]]) ).
cnf(refute_0_448,plain,
( divide(divide(A,B),C) != divide(A,multiply(C,B))
| divide(divide(A,B),C) != divide(divide(A,C),B)
| divide(A,multiply(C,B)) = divide(divide(A,C),B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,B),C),divide(divide(A,C),B)) ),[0],$fot(divide(A,multiply(C,B)))]]) ).
cnf(refute_0_449,plain,
( divide(divide(A,B),C) != divide(divide(A,C),B)
| divide(A,multiply(C,B)) = divide(divide(A,C),B) ),
inference(resolve,[$cnf( $equal(divide(divide(A,B),C),divide(A,multiply(C,B))) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
divide(divide(A,C),B) = divide(A,multiply(B,C)),
inference(subst,[],[refute_0_446:[bind(X_27,$fot(A)),bind(X_60,$fot(B)),bind(X_62,$fot(C))]]) ).
cnf(refute_0_451,plain,
( divide(A,multiply(C,B)) != divide(divide(A,C),B)
| divide(divide(A,C),B) != divide(A,multiply(B,C))
| divide(A,multiply(C,B)) = divide(A,multiply(B,C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(A,multiply(C,B)),divide(A,multiply(B,C))) ),[0],$fot(divide(divide(A,C),B))]]) ).
cnf(refute_0_452,plain,
( divide(A,multiply(C,B)) != divide(divide(A,C),B)
| divide(A,multiply(C,B)) = divide(A,multiply(B,C)) ),
inference(resolve,[$cnf( $equal(divide(divide(A,C),B),divide(A,multiply(B,C))) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
( divide(divide(A,B),C) != divide(divide(A,C),B)
| divide(A,multiply(C,B)) = divide(A,multiply(B,C)) ),
inference(resolve,[$cnf( $equal(divide(A,multiply(C,B)),divide(divide(A,C),B)) )],[refute_0_449,refute_0_452]) ).
cnf(refute_0_454,plain,
divide(A,multiply(C,B)) = divide(A,multiply(B,C)),
inference(resolve,[$cnf( $equal(divide(divide(A,B),C),divide(divide(A,C),B)) )],[refute_0_362,refute_0_453]) ).
cnf(refute_0_455,plain,
divide(X_42,multiply(X_85,X_84)) = divide(X_42,multiply(X_84,X_85)),
inference(subst,[],[refute_0_454:[bind(A,$fot(X_42)),bind(B,$fot(X_84)),bind(C,$fot(X_85))]]) ).
cnf(refute_0_456,plain,
( divide(X_42,multiply(X_85,X_84)) != divide(X_42,multiply(X_84,X_85))
| inverse(divide(X_42,multiply(X_85,X_84))) != divide(multiply(X_85,X_84),X_42)
| inverse(divide(X_42,multiply(X_84,X_85))) = divide(multiply(X_85,X_84),X_42) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_42,multiply(X_85,X_84))),divide(multiply(X_85,X_84),X_42)) ),[0,0],$fot(divide(X_42,multiply(X_84,X_85)))]]) ).
cnf(refute_0_457,plain,
( inverse(divide(X_42,multiply(X_85,X_84))) != divide(multiply(X_85,X_84),X_42)
| inverse(divide(X_42,multiply(X_84,X_85))) = divide(multiply(X_85,X_84),X_42) ),
inference(resolve,[$cnf( $equal(divide(X_42,multiply(X_85,X_84)),divide(X_42,multiply(X_84,X_85))) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
inverse(divide(X_42,multiply(X_84,X_85))) = divide(multiply(X_85,X_84),X_42),
inference(resolve,[$cnf( $equal(inverse(divide(X_42,multiply(X_85,X_84))),divide(multiply(X_85,X_84),X_42)) )],[refute_0_354,refute_0_457]) ).
cnf(refute_0_459,plain,
divide(multiply(X_84,X_85),X_42) = multiply(X_84,divide(X_85,X_42)),
inference(subst,[],[refute_0_321:[bind(X_33,$fot(X_84)),bind(X_34,$fot(X_42)),bind(X_35,$fot(X_85))]]) ).
cnf(refute_0_460,plain,
inverse(divide(X_42,multiply(X_84,X_85))) = divide(multiply(X_84,X_85),X_42),
inference(subst,[],[refute_0_179:[bind(X_4,$fot(multiply(X_84,X_85)))]]) ).
cnf(refute_0_461,plain,
( divide(multiply(X_84,X_85),X_42) != multiply(X_84,divide(X_85,X_42))
| inverse(divide(X_42,multiply(X_84,X_85))) != divide(multiply(X_84,X_85),X_42)
| inverse(divide(X_42,multiply(X_84,X_85))) = multiply(X_84,divide(X_85,X_42)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(inverse(divide(X_42,multiply(X_84,X_85))))),bind(Y,$fot(divide(multiply(X_84,X_85),X_42))),bind(Z,$fot(multiply(X_84,divide(X_85,X_42))))]]) ).
cnf(refute_0_462,plain,
( divide(multiply(X_84,X_85),X_42) != multiply(X_84,divide(X_85,X_42))
| inverse(divide(X_42,multiply(X_84,X_85))) = multiply(X_84,divide(X_85,X_42)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_42,multiply(X_84,X_85))),divide(multiply(X_84,X_85),X_42)) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
inverse(divide(X_42,multiply(X_84,X_85))) = multiply(X_84,divide(X_85,X_42)),
inference(resolve,[$cnf( $equal(divide(multiply(X_84,X_85),X_42),multiply(X_84,divide(X_85,X_42))) )],[refute_0_459,refute_0_462]) ).
cnf(refute_0_464,plain,
( inverse(divide(X_42,multiply(X_84,X_85))) != multiply(X_84,divide(X_85,X_42))
| inverse(divide(X_42,multiply(X_84,X_85))) != divide(multiply(X_85,X_84),X_42)
| multiply(X_84,divide(X_85,X_42)) = divide(multiply(X_85,X_84),X_42) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_42,multiply(X_84,X_85))),divide(multiply(X_85,X_84),X_42)) ),[0],$fot(multiply(X_84,divide(X_85,X_42)))]]) ).
cnf(refute_0_465,plain,
( inverse(divide(X_42,multiply(X_84,X_85))) != divide(multiply(X_85,X_84),X_42)
| multiply(X_84,divide(X_85,X_42)) = divide(multiply(X_85,X_84),X_42) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_42,multiply(X_84,X_85))),multiply(X_84,divide(X_85,X_42))) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
divide(multiply(X_85,X_84),X_42) = multiply(X_85,divide(X_84,X_42)),
inference(subst,[],[refute_0_321:[bind(X_33,$fot(X_85)),bind(X_34,$fot(X_42)),bind(X_35,$fot(X_84))]]) ).
cnf(refute_0_467,plain,
( multiply(X_84,divide(X_85,X_42)) != divide(multiply(X_85,X_84),X_42)
| divide(multiply(X_85,X_84),X_42) != multiply(X_85,divide(X_84,X_42))
| multiply(X_84,divide(X_85,X_42)) = multiply(X_85,divide(X_84,X_42)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_84,divide(X_85,X_42)),multiply(X_85,divide(X_84,X_42))) ),[0],$fot(divide(multiply(X_85,X_84),X_42))]]) ).
cnf(refute_0_468,plain,
( multiply(X_84,divide(X_85,X_42)) != divide(multiply(X_85,X_84),X_42)
| multiply(X_84,divide(X_85,X_42)) = multiply(X_85,divide(X_84,X_42)) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_85,X_84),X_42),multiply(X_85,divide(X_84,X_42))) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
( inverse(divide(X_42,multiply(X_84,X_85))) != divide(multiply(X_85,X_84),X_42)
| multiply(X_84,divide(X_85,X_42)) = multiply(X_85,divide(X_84,X_42)) ),
inference(resolve,[$cnf( $equal(multiply(X_84,divide(X_85,X_42)),divide(multiply(X_85,X_84),X_42)) )],[refute_0_465,refute_0_468]) ).
cnf(refute_0_470,plain,
multiply(X_84,divide(X_85,X_42)) = multiply(X_85,divide(X_84,X_42)),
inference(resolve,[$cnf( $equal(inverse(divide(X_42,multiply(X_84,X_85))),divide(multiply(X_85,X_84),X_42)) )],[refute_0_458,refute_0_469]) ).
cnf(refute_0_471,plain,
multiply(X_87,divide(X_88,inverse(B))) = multiply(X_88,divide(X_87,inverse(B))),
inference(subst,[],[refute_0_470:[bind(X_42,$fot(inverse(B))),bind(X_84,$fot(X_87)),bind(X_85,$fot(X_88))]]) ).
cnf(refute_0_472,plain,
multiply(X_88,B) = divide(X_88,inverse(B)),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_88))]]) ).
cnf(refute_0_473,plain,
( multiply(X_88,B) != divide(X_88,inverse(B))
| divide(X_88,inverse(B)) = multiply(X_88,B) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_88,B))),bind(Y,$fot(divide(X_88,inverse(B))))]]) ).
cnf(refute_0_474,plain,
divide(X_88,inverse(B)) = multiply(X_88,B),
inference(resolve,[$cnf( $equal(multiply(X_88,B),divide(X_88,inverse(B))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
( multiply(X_87,divide(X_88,inverse(B))) != multiply(X_88,divide(X_87,inverse(B)))
| divide(X_88,inverse(B)) != multiply(X_88,B)
| multiply(X_87,multiply(X_88,B)) = multiply(X_88,divide(X_87,inverse(B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_87,divide(X_88,inverse(B))),multiply(X_88,divide(X_87,inverse(B)))) ),[0,1],$fot(multiply(X_88,B))]]) ).
cnf(refute_0_476,plain,
( multiply(X_87,divide(X_88,inverse(B))) != multiply(X_88,divide(X_87,inverse(B)))
| multiply(X_87,multiply(X_88,B)) = multiply(X_88,divide(X_87,inverse(B))) ),
inference(resolve,[$cnf( $equal(divide(X_88,inverse(B)),multiply(X_88,B)) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
multiply(X_87,multiply(X_88,B)) = multiply(X_88,divide(X_87,inverse(B))),
inference(resolve,[$cnf( $equal(multiply(X_87,divide(X_88,inverse(B))),multiply(X_88,divide(X_87,inverse(B)))) )],[refute_0_471,refute_0_476]) ).
cnf(refute_0_478,plain,
divide(X_87,inverse(B)) = multiply(X_87,B),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_87))]]) ).
cnf(refute_0_479,plain,
multiply(X_88,divide(X_87,inverse(B))) = multiply(X_88,divide(X_87,inverse(B))),
introduced(tautology,[refl,[$fot(multiply(X_88,divide(X_87,inverse(B))))]]) ).
cnf(refute_0_480,plain,
( multiply(X_88,divide(X_87,inverse(B))) != multiply(X_88,divide(X_87,inverse(B)))
| divide(X_87,inverse(B)) != multiply(X_87,B)
| multiply(X_88,divide(X_87,inverse(B))) = multiply(X_88,multiply(X_87,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_88,divide(X_87,inverse(B))),multiply(X_88,divide(X_87,inverse(B)))) ),[1,1],$fot(multiply(X_87,B))]]) ).
cnf(refute_0_481,plain,
( divide(X_87,inverse(B)) != multiply(X_87,B)
| multiply(X_88,divide(X_87,inverse(B))) = multiply(X_88,multiply(X_87,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_88,divide(X_87,inverse(B))),multiply(X_88,divide(X_87,inverse(B)))) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
multiply(X_88,divide(X_87,inverse(B))) = multiply(X_88,multiply(X_87,B)),
inference(resolve,[$cnf( $equal(divide(X_87,inverse(B)),multiply(X_87,B)) )],[refute_0_478,refute_0_481]) ).
cnf(refute_0_483,plain,
( multiply(X_87,multiply(X_88,B)) != multiply(X_88,divide(X_87,inverse(B)))
| multiply(X_88,divide(X_87,inverse(B))) != multiply(X_88,multiply(X_87,B))
| multiply(X_87,multiply(X_88,B)) = multiply(X_88,multiply(X_87,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_87,multiply(X_88,B)),multiply(X_88,multiply(X_87,B))) ),[0],$fot(multiply(X_88,divide(X_87,inverse(B))))]]) ).
cnf(refute_0_484,plain,
( multiply(X_87,multiply(X_88,B)) != multiply(X_88,divide(X_87,inverse(B)))
| multiply(X_87,multiply(X_88,B)) = multiply(X_88,multiply(X_87,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_88,divide(X_87,inverse(B))),multiply(X_88,multiply(X_87,B))) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
multiply(X_87,multiply(X_88,B)) = multiply(X_88,multiply(X_87,B)),
inference(resolve,[$cnf( $equal(multiply(X_87,multiply(X_88,B)),multiply(X_88,divide(X_87,inverse(B)))) )],[refute_0_477,refute_0_484]) ).
cnf(refute_0_486,plain,
( multiply(X_87,multiply(X_88,B)) != multiply(X_88,multiply(X_87,B))
| multiply(X_88,multiply(X_87,B)) = multiply(X_87,multiply(X_88,B)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_87,multiply(X_88,B)))),bind(Y,$fot(multiply(X_88,multiply(X_87,B))))]]) ).
cnf(refute_0_487,plain,
multiply(X_88,multiply(X_87,B)) = multiply(X_87,multiply(X_88,B)),
inference(resolve,[$cnf( $equal(multiply(X_87,multiply(X_88,B)),multiply(X_88,multiply(X_87,B))) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_487:[bind(B,$fot(c3)),bind(X_87,$fot(a3)),bind(X_88,$fot(b3))]]) ).
cnf(refute_0_489,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_490,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_490,refute_0_353]) ).
cnf(refute_0_492,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_493,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_492,refute_0_491]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP539-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n011.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 : Mon Jun 13 20:49:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52
% 0.19/0.52 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.40/0.58
%------------------------------------------------------------------------------