TSTP Solution File: GRP524-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP524-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 10:42:08 EDT 2022
% Result : Unsatisfiable 0.62s 0.77s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 87
% Syntax : Number of clauses : 328 ( 173 unt; 0 nHn; 147 RR)
% Number of literals : 553 ( 552 equ; 227 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 791 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(A,divide(B,divide(C,divide(A,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(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a) ).
cnf(refute_0_0,plain,
divide(A,divide(inverse(inverse(divide(X_8,X_8))),divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))) = C,
inference(subst,[],[single_axiom:[bind(B,$fot(inverse(inverse(divide(X_8,X_8)))))]]) ).
cnf(refute_0_1,plain,
inverse(A) = divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),A),
inference(subst,[],[inverse:[bind(B,$fot(inverse(divide(X_3,X_3))))]]) ).
cnf(refute_0_2,plain,
inverse(A) = divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A),
inference(subst,[],[inverse:[bind(B,$fot(divide(X_1,X_1)))]]) ).
cnf(refute_0_3,plain,
inverse(divide(X_1,X_1)) = divide(divide(X_1,X_1),divide(X_1,X_1)),
inference(subst,[],[inverse:[bind(A,$fot(divide(X_1,X_1))),bind(B,$fot(X_1))]]) ).
cnf(refute_0_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( inverse(divide(X_1,X_1)) != divide(divide(X_1,X_1),divide(X_1,X_1))
| divide(divide(X_1,X_1),divide(X_1,X_1)) = inverse(divide(X_1,X_1)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(inverse(divide(X_1,X_1)))),bind(Y,$fot(divide(divide(X_1,X_1),divide(X_1,X_1))))]]) ).
cnf(refute_0_8,plain,
divide(divide(X_1,X_1),divide(X_1,X_1)) = inverse(divide(X_1,X_1)),
inference(resolve,[$cnf( $equal(inverse(divide(X_1,X_1)),divide(divide(X_1,X_1),divide(X_1,X_1))) )],[refute_0_3,refute_0_7]) ).
cnf(refute_0_9,plain,
( divide(divide(X_1,X_1),divide(X_1,X_1)) != inverse(divide(X_1,X_1))
| inverse(A) != divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)
| inverse(A) = divide(inverse(divide(X_1,X_1)),A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)) ),[1,0],$fot(inverse(divide(X_1,X_1)))]]) ).
cnf(refute_0_10,plain,
( inverse(A) != divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)
| inverse(A) = divide(inverse(divide(X_1,X_1)),A) ),
inference(resolve,[$cnf( $equal(divide(divide(X_1,X_1),divide(X_1,X_1)),inverse(divide(X_1,X_1))) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
inverse(A) = divide(inverse(divide(X_1,X_1)),A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)) )],[refute_0_2,refute_0_10]) ).
cnf(refute_0_12,plain,
inverse(inverse(divide(X_3,X_3))) = divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),
inference(subst,[],[refute_0_11:[bind(A,$fot(inverse(divide(X_3,X_3)))),bind(X_1,$fot(X_3))]]) ).
cnf(refute_0_13,plain,
( inverse(inverse(divide(X_3,X_3))) != divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))
| divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))) = inverse(inverse(divide(X_3,X_3))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(inverse(inverse(divide(X_3,X_3))))),bind(Y,$fot(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))))]]) ).
cnf(refute_0_14,plain,
divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))) = inverse(inverse(divide(X_3,X_3))),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_3,X_3))),divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
( divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))) != inverse(inverse(divide(X_3,X_3)))
| inverse(A) != divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),A)
| inverse(A) = divide(inverse(inverse(divide(X_3,X_3))),A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),A)) ),[1,0],$fot(inverse(inverse(divide(X_3,X_3))))]]) ).
cnf(refute_0_16,plain,
( inverse(A) != divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),A)
| inverse(A) = divide(inverse(inverse(divide(X_3,X_3))),A) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),inverse(inverse(divide(X_3,X_3)))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
inverse(A) = divide(inverse(inverse(divide(X_3,X_3))),A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),A)) )],[refute_0_1,refute_0_16]) ).
cnf(refute_0_18,plain,
inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))) = divide(inverse(inverse(divide(X_8,X_8))),divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))),
inference(subst,[],[refute_0_17:[bind(A,$fot(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))),bind(X_3,$fot(X_8))]]) ).
cnf(refute_0_19,plain,
( inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))) != divide(inverse(inverse(divide(X_8,X_8))),divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))
| divide(inverse(inverse(divide(X_8,X_8))),divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))) = inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))))),bind(Y,$fot(divide(inverse(inverse(divide(X_8,X_8))),divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))))]]) ).
cnf(refute_0_20,plain,
divide(inverse(inverse(divide(X_8,X_8))),divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))) = inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))),
inference(resolve,[$cnf( $equal(inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))),divide(inverse(inverse(divide(X_8,X_8))),divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( divide(A,divide(inverse(inverse(divide(X_8,X_8))),divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))) != C
| divide(inverse(inverse(divide(X_8,X_8))),divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))) != inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))
| divide(A,inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(inverse(inverse(divide(X_8,X_8))),divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))),C) ),[0,1],$fot(inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))))]]) ).
cnf(refute_0_22,plain,
( divide(A,divide(inverse(inverse(divide(X_8,X_8))),divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))) != C
| divide(A,inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))) = C ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(divide(X_8,X_8))),divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))),inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
divide(A,inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))) = C,
inference(resolve,[$cnf( $equal(divide(A,divide(inverse(inverse(divide(X_8,X_8))),divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))),C) )],[refute_0_0,refute_0_22]) ).
cnf(refute_0_24,plain,
( inverse(A) != divide(divide(B,B),A)
| divide(divide(B,B),A) = inverse(A) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(inverse(A))),bind(Y,$fot(divide(divide(B,B),A)))]]) ).
cnf(refute_0_25,plain,
divide(divide(B,B),A) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(B,B),A)) )],[inverse,refute_0_24]) ).
cnf(refute_0_26,plain,
divide(divide(C,C),B) = inverse(B),
inference(subst,[],[refute_0_25:[bind(A,$fot(B)),bind(B,$fot(C))]]) ).
cnf(refute_0_27,plain,
divide(A,divide(divide(C,C),B)) = divide(A,divide(divide(C,C),B)),
introduced(tautology,[refl,[$fot(divide(A,divide(divide(C,C),B)))]]) ).
cnf(refute_0_28,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_29,plain,
( divide(divide(C,C),B) != inverse(B)
| divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,divide(divide(C,C),B))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(divide(divide(C,C),B),inverse(B)) )],[refute_0_26,refute_0_29]) ).
cnf(refute_0_31,plain,
( multiply(A,B) != divide(A,divide(divide(C,C),B))
| divide(A,divide(divide(C,C),B)) != divide(A,inverse(B))
| multiply(A,B) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),divide(A,inverse(B))) ),[0],$fot(divide(A,divide(divide(C,C),B)))]]) ).
cnf(refute_0_32,plain,
( multiply(A,B) != divide(A,divide(divide(C,C),B))
| multiply(A,B) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,inverse(B))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
multiply(A,B) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,divide(divide(C,C),B))) )],[multiply,refute_0_32]) ).
cnf(refute_0_34,plain,
( multiply(A,B) != divide(A,inverse(B))
| divide(A,inverse(B)) = multiply(A,B) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(divide(A,inverse(B))))]]) ).
cnf(refute_0_35,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,inverse(B))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
divide(A,inverse(inverse(divide(X_8,X_8)))) = multiply(A,inverse(divide(X_8,X_8))),
inference(subst,[],[refute_0_35:[bind(B,$fot(inverse(divide(X_8,X_8))))]]) ).
cnf(refute_0_37,plain,
divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))) = divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))),
introduced(tautology,[refl,[$fot(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))]]) ).
cnf(refute_0_38,plain,
( divide(A,inverse(inverse(divide(X_8,X_8)))) != multiply(A,inverse(divide(X_8,X_8)))
| divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))) != divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))
| divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))) = divide(C,multiply(A,inverse(divide(X_8,X_8)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))),divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))) ),[1,1],$fot(multiply(A,inverse(divide(X_8,X_8))))]]) ).
cnf(refute_0_39,plain,
( divide(A,inverse(inverse(divide(X_8,X_8)))) != multiply(A,inverse(divide(X_8,X_8)))
| divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))) = divide(C,multiply(A,inverse(divide(X_8,X_8)))) ),
inference(resolve,[$cnf( $equal(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))),divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))) = divide(C,multiply(A,inverse(divide(X_8,X_8)))),
inference(resolve,[$cnf( $equal(divide(A,inverse(inverse(divide(X_8,X_8)))),multiply(A,inverse(divide(X_8,X_8)))) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
multiply(A,divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))) = multiply(A,divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))),
introduced(tautology,[refl,[$fot(multiply(A,divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))))]]) ).
cnf(refute_0_42,plain,
( multiply(A,divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))) != multiply(A,divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))
| divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))) != divide(C,multiply(A,inverse(divide(X_8,X_8))))
| multiply(A,divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))) = multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))),multiply(A,divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))) ),[1,1],$fot(divide(C,multiply(A,inverse(divide(X_8,X_8)))))]]) ).
cnf(refute_0_43,plain,
( divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))) != divide(C,multiply(A,inverse(divide(X_8,X_8))))
| multiply(A,divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))) = multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))) ),
inference(resolve,[$cnf( $equal(multiply(A,divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))),multiply(A,divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
multiply(A,divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))) = multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))),
inference(resolve,[$cnf( $equal(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))),divide(C,multiply(A,inverse(divide(X_8,X_8))))) )],[refute_0_40,refute_0_43]) ).
cnf(refute_0_45,plain,
divide(A,inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))) = multiply(A,divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))),
inference(subst,[],[refute_0_35:[bind(B,$fot(divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))))]]) ).
cnf(refute_0_46,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_47,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_6,refute_0_46]) ).
cnf(refute_0_48,plain,
( multiply(A,divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))) != multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8)))))
| divide(A,inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))) != multiply(A,divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))
| divide(A,inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))) = multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))) ),
inference(subst,[],[refute_0_47:[bind(X,$fot(divide(A,inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))))),bind(Y,$fot(multiply(A,divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))))),bind(Z,$fot(multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8)))))))]]) ).
cnf(refute_0_49,plain,
( multiply(A,divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))) != multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8)))))
| divide(A,inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))) = multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))) ),
inference(resolve,[$cnf( $equal(divide(A,inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))),multiply(A,divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))) )],[refute_0_45,refute_0_48]) ).
cnf(refute_0_50,plain,
divide(A,inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))) = multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))),
inference(resolve,[$cnf( $equal(multiply(A,divide(C,divide(A,inverse(inverse(divide(X_8,X_8)))))),multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8)))))) )],[refute_0_44,refute_0_49]) ).
cnf(refute_0_51,plain,
( divide(A,inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))) != C
| divide(A,inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))) != multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8)))))
| multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))),C) ),[0],$fot(multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))))]]) ).
cnf(refute_0_52,plain,
( divide(A,inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))) != C
| multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))) = C ),
inference(resolve,[$cnf( $equal(divide(A,inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))),multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8)))))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))) = C,
inference(resolve,[$cnf( $equal(divide(A,inverse(divide(C,divide(A,inverse(inverse(divide(X_8,X_8))))))),C) )],[refute_0_23,refute_0_52]) ).
cnf(refute_0_54,plain,
divide(A,divide(B,divide(divide(A,B),divide(A,B)))) = divide(A,B),
inference(subst,[],[single_axiom:[bind(C,$fot(divide(A,B)))]]) ).
cnf(refute_0_55,plain,
divide(A,divide(B,divide(inverse(inverse(divide(X_8,X_8))),divide(A,B)))) = inverse(inverse(divide(X_8,X_8))),
inference(subst,[],[single_axiom:[bind(C,$fot(inverse(inverse(divide(X_8,X_8)))))]]) ).
cnf(refute_0_56,plain,
inverse(divide(A,B)) = divide(inverse(inverse(divide(X_8,X_8))),divide(A,B)),
inference(subst,[],[refute_0_17:[bind(A,$fot(divide(A,B))),bind(X_3,$fot(X_8))]]) ).
cnf(refute_0_57,plain,
( inverse(divide(A,B)) != divide(inverse(inverse(divide(X_8,X_8))),divide(A,B))
| divide(inverse(inverse(divide(X_8,X_8))),divide(A,B)) = inverse(divide(A,B)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(inverse(divide(A,B)))),bind(Y,$fot(divide(inverse(inverse(divide(X_8,X_8))),divide(A,B))))]]) ).
cnf(refute_0_58,plain,
divide(inverse(inverse(divide(X_8,X_8))),divide(A,B)) = inverse(divide(A,B)),
inference(resolve,[$cnf( $equal(inverse(divide(A,B)),divide(inverse(inverse(divide(X_8,X_8))),divide(A,B))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
( divide(A,divide(B,divide(inverse(inverse(divide(X_8,X_8))),divide(A,B)))) != inverse(inverse(divide(X_8,X_8)))
| divide(inverse(inverse(divide(X_8,X_8))),divide(A,B)) != inverse(divide(A,B))
| divide(A,divide(B,inverse(divide(A,B)))) = inverse(inverse(divide(X_8,X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(B,divide(inverse(inverse(divide(X_8,X_8))),divide(A,B)))),inverse(inverse(divide(X_8,X_8)))) ),[0,1,1],$fot(inverse(divide(A,B)))]]) ).
cnf(refute_0_60,plain,
( divide(A,divide(B,divide(inverse(inverse(divide(X_8,X_8))),divide(A,B)))) != inverse(inverse(divide(X_8,X_8)))
| divide(A,divide(B,inverse(divide(A,B)))) = inverse(inverse(divide(X_8,X_8))) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(divide(X_8,X_8))),divide(A,B)),inverse(divide(A,B))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
divide(A,divide(B,inverse(divide(A,B)))) = inverse(inverse(divide(X_8,X_8))),
inference(resolve,[$cnf( $equal(divide(A,divide(B,divide(inverse(inverse(divide(X_8,X_8))),divide(A,B)))),inverse(inverse(divide(X_8,X_8)))) )],[refute_0_55,refute_0_60]) ).
cnf(refute_0_62,plain,
divide(X_4,divide(X_5,divide(divide(B,B),divide(X_4,X_5)))) = divide(B,B),
inference(subst,[],[single_axiom:[bind(A,$fot(X_4)),bind(B,$fot(X_5)),bind(C,$fot(divide(B,B)))]]) ).
cnf(refute_0_63,plain,
inverse(divide(X_4,X_5)) = divide(divide(B,B),divide(X_4,X_5)),
inference(subst,[],[inverse:[bind(A,$fot(divide(X_4,X_5)))]]) ).
cnf(refute_0_64,plain,
( inverse(divide(X_4,X_5)) != divide(divide(B,B),divide(X_4,X_5))
| divide(divide(B,B),divide(X_4,X_5)) = inverse(divide(X_4,X_5)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(inverse(divide(X_4,X_5)))),bind(Y,$fot(divide(divide(B,B),divide(X_4,X_5))))]]) ).
cnf(refute_0_65,plain,
divide(divide(B,B),divide(X_4,X_5)) = inverse(divide(X_4,X_5)),
inference(resolve,[$cnf( $equal(inverse(divide(X_4,X_5)),divide(divide(B,B),divide(X_4,X_5))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
( divide(X_4,divide(X_5,divide(divide(B,B),divide(X_4,X_5)))) != divide(B,B)
| divide(divide(B,B),divide(X_4,X_5)) != inverse(divide(X_4,X_5))
| divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) = divide(B,B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_4,divide(X_5,divide(divide(B,B),divide(X_4,X_5)))),divide(B,B)) ),[0,1,1],$fot(inverse(divide(X_4,X_5)))]]) ).
cnf(refute_0_67,plain,
( divide(X_4,divide(X_5,divide(divide(B,B),divide(X_4,X_5)))) != divide(B,B)
| divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) = divide(B,B) ),
inference(resolve,[$cnf( $equal(divide(divide(B,B),divide(X_4,X_5)),inverse(divide(X_4,X_5))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) = divide(B,B),
inference(resolve,[$cnf( $equal(divide(X_4,divide(X_5,divide(divide(B,B),divide(X_4,X_5)))),divide(B,B)) )],[refute_0_62,refute_0_67]) ).
cnf(refute_0_69,plain,
divide(X_5,inverse(divide(X_4,X_5))) = multiply(X_5,divide(X_4,X_5)),
inference(subst,[],[refute_0_35:[bind(A,$fot(X_5)),bind(B,$fot(divide(X_4,X_5)))]]) ).
cnf(refute_0_70,plain,
divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) = divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))),
introduced(tautology,[refl,[$fot(divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))))]]) ).
cnf(refute_0_71,plain,
( divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) != divide(X_4,divide(X_5,inverse(divide(X_4,X_5))))
| divide(X_5,inverse(divide(X_4,X_5))) != multiply(X_5,divide(X_4,X_5))
| divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) = divide(X_4,multiply(X_5,divide(X_4,X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))),divide(X_4,divide(X_5,inverse(divide(X_4,X_5))))) ),[1,1],$fot(multiply(X_5,divide(X_4,X_5)))]]) ).
cnf(refute_0_72,plain,
( divide(X_5,inverse(divide(X_4,X_5))) != multiply(X_5,divide(X_4,X_5))
| divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) = divide(X_4,multiply(X_5,divide(X_4,X_5))) ),
inference(resolve,[$cnf( $equal(divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))),divide(X_4,divide(X_5,inverse(divide(X_4,X_5))))) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) = divide(X_4,multiply(X_5,divide(X_4,X_5))),
inference(resolve,[$cnf( $equal(divide(X_5,inverse(divide(X_4,X_5))),multiply(X_5,divide(X_4,X_5))) )],[refute_0_69,refute_0_72]) ).
cnf(refute_0_74,plain,
( divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) != divide(B,B)
| divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) != divide(X_4,multiply(X_5,divide(X_4,X_5)))
| divide(X_4,multiply(X_5,divide(X_4,X_5))) = divide(B,B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))),divide(B,B)) ),[0],$fot(divide(X_4,multiply(X_5,divide(X_4,X_5))))]]) ).
cnf(refute_0_75,plain,
( divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) != divide(B,B)
| divide(X_4,multiply(X_5,divide(X_4,X_5))) = divide(B,B) ),
inference(resolve,[$cnf( $equal(divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))),divide(X_4,multiply(X_5,divide(X_4,X_5)))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
divide(X_4,multiply(X_5,divide(X_4,X_5))) = divide(B,B),
inference(resolve,[$cnf( $equal(divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))),divide(B,B)) )],[refute_0_68,refute_0_75]) ).
cnf(refute_0_77,plain,
divide(A,multiply(B,divide(A,B))) = divide(B,B),
inference(subst,[],[refute_0_76:[bind(X_4,$fot(A)),bind(X_5,$fot(B))]]) ).
cnf(refute_0_78,plain,
divide(B,inverse(divide(A,B))) = multiply(B,divide(A,B)),
inference(subst,[],[refute_0_35:[bind(A,$fot(B)),bind(B,$fot(divide(A,B)))]]) ).
cnf(refute_0_79,plain,
divide(A,divide(B,inverse(divide(A,B)))) = divide(A,divide(B,inverse(divide(A,B)))),
introduced(tautology,[refl,[$fot(divide(A,divide(B,inverse(divide(A,B)))))]]) ).
cnf(refute_0_80,plain,
( divide(A,divide(B,inverse(divide(A,B)))) != divide(A,divide(B,inverse(divide(A,B))))
| divide(B,inverse(divide(A,B))) != multiply(B,divide(A,B))
| divide(A,divide(B,inverse(divide(A,B)))) = divide(A,multiply(B,divide(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(B,inverse(divide(A,B)))),divide(A,divide(B,inverse(divide(A,B))))) ),[1,1],$fot(multiply(B,divide(A,B)))]]) ).
cnf(refute_0_81,plain,
( divide(B,inverse(divide(A,B))) != multiply(B,divide(A,B))
| divide(A,divide(B,inverse(divide(A,B)))) = divide(A,multiply(B,divide(A,B))) ),
inference(resolve,[$cnf( $equal(divide(A,divide(B,inverse(divide(A,B)))),divide(A,divide(B,inverse(divide(A,B))))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
divide(A,divide(B,inverse(divide(A,B)))) = divide(A,multiply(B,divide(A,B))),
inference(resolve,[$cnf( $equal(divide(B,inverse(divide(A,B))),multiply(B,divide(A,B))) )],[refute_0_78,refute_0_81]) ).
cnf(refute_0_83,plain,
( divide(A,multiply(B,divide(A,B))) != divide(B,B)
| divide(A,divide(B,inverse(divide(A,B)))) != divide(A,multiply(B,divide(A,B)))
| divide(A,divide(B,inverse(divide(A,B)))) = divide(B,B) ),
inference(subst,[],[refute_0_47:[bind(X,$fot(divide(A,divide(B,inverse(divide(A,B)))))),bind(Y,$fot(divide(A,multiply(B,divide(A,B))))),bind(Z,$fot(divide(B,B)))]]) ).
cnf(refute_0_84,plain,
( divide(A,multiply(B,divide(A,B))) != divide(B,B)
| divide(A,divide(B,inverse(divide(A,B)))) = divide(B,B) ),
inference(resolve,[$cnf( $equal(divide(A,divide(B,inverse(divide(A,B)))),divide(A,multiply(B,divide(A,B)))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
divide(A,divide(B,inverse(divide(A,B)))) = divide(B,B),
inference(resolve,[$cnf( $equal(divide(A,multiply(B,divide(A,B))),divide(B,B)) )],[refute_0_77,refute_0_84]) ).
cnf(refute_0_86,plain,
( divide(A,divide(B,inverse(divide(A,B)))) != divide(B,B)
| divide(A,divide(B,inverse(divide(A,B)))) != inverse(inverse(divide(X_8,X_8)))
| divide(B,B) = inverse(inverse(divide(X_8,X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(B,inverse(divide(A,B)))),inverse(inverse(divide(X_8,X_8)))) ),[0],$fot(divide(B,B))]]) ).
cnf(refute_0_87,plain,
( divide(A,divide(B,inverse(divide(A,B)))) != inverse(inverse(divide(X_8,X_8)))
| divide(B,B) = inverse(inverse(divide(X_8,X_8))) ),
inference(resolve,[$cnf( $equal(divide(A,divide(B,inverse(divide(A,B)))),divide(B,B)) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
divide(B,B) = inverse(inverse(divide(X_8,X_8))),
inference(resolve,[$cnf( $equal(divide(A,divide(B,inverse(divide(A,B)))),inverse(inverse(divide(X_8,X_8)))) )],[refute_0_61,refute_0_87]) ).
cnf(refute_0_89,plain,
divide(divide(A,B),divide(A,B)) = inverse(inverse(divide(X_12,X_12))),
inference(subst,[],[refute_0_88:[bind(B,$fot(divide(A,B))),bind(X_8,$fot(X_12))]]) ).
cnf(refute_0_90,plain,
( divide(A,divide(B,divide(divide(A,B),divide(A,B)))) != divide(A,B)
| divide(divide(A,B),divide(A,B)) != inverse(inverse(divide(X_12,X_12)))
| divide(A,divide(B,inverse(inverse(divide(X_12,X_12))))) = divide(A,B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(B,divide(divide(A,B),divide(A,B)))),divide(A,B)) ),[0,1,1],$fot(inverse(inverse(divide(X_12,X_12))))]]) ).
cnf(refute_0_91,plain,
( divide(A,divide(B,divide(divide(A,B),divide(A,B)))) != divide(A,B)
| divide(A,divide(B,inverse(inverse(divide(X_12,X_12))))) = divide(A,B) ),
inference(resolve,[$cnf( $equal(divide(divide(A,B),divide(A,B)),inverse(inverse(divide(X_12,X_12)))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
divide(A,divide(B,inverse(inverse(divide(X_12,X_12))))) = divide(A,B),
inference(resolve,[$cnf( $equal(divide(A,divide(B,divide(divide(A,B),divide(A,B)))),divide(A,B)) )],[refute_0_54,refute_0_91]) ).
cnf(refute_0_93,plain,
divide(B,inverse(inverse(divide(X_12,X_12)))) = multiply(B,inverse(divide(X_12,X_12))),
inference(subst,[],[refute_0_35:[bind(A,$fot(B)),bind(B,$fot(inverse(divide(X_12,X_12))))]]) ).
cnf(refute_0_94,plain,
divide(A,divide(B,inverse(inverse(divide(X_12,X_12))))) = divide(A,divide(B,inverse(inverse(divide(X_12,X_12))))),
introduced(tautology,[refl,[$fot(divide(A,divide(B,inverse(inverse(divide(X_12,X_12))))))]]) ).
cnf(refute_0_95,plain,
( divide(A,divide(B,inverse(inverse(divide(X_12,X_12))))) != divide(A,divide(B,inverse(inverse(divide(X_12,X_12)))))
| divide(B,inverse(inverse(divide(X_12,X_12)))) != multiply(B,inverse(divide(X_12,X_12)))
| divide(A,divide(B,inverse(inverse(divide(X_12,X_12))))) = divide(A,multiply(B,inverse(divide(X_12,X_12)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(B,inverse(inverse(divide(X_12,X_12))))),divide(A,divide(B,inverse(inverse(divide(X_12,X_12)))))) ),[1,1],$fot(multiply(B,inverse(divide(X_12,X_12))))]]) ).
cnf(refute_0_96,plain,
( divide(B,inverse(inverse(divide(X_12,X_12)))) != multiply(B,inverse(divide(X_12,X_12)))
| divide(A,divide(B,inverse(inverse(divide(X_12,X_12))))) = divide(A,multiply(B,inverse(divide(X_12,X_12)))) ),
inference(resolve,[$cnf( $equal(divide(A,divide(B,inverse(inverse(divide(X_12,X_12))))),divide(A,divide(B,inverse(inverse(divide(X_12,X_12)))))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
divide(A,divide(B,inverse(inverse(divide(X_12,X_12))))) = divide(A,multiply(B,inverse(divide(X_12,X_12)))),
inference(resolve,[$cnf( $equal(divide(B,inverse(inverse(divide(X_12,X_12)))),multiply(B,inverse(divide(X_12,X_12)))) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
( divide(A,divide(B,inverse(inverse(divide(X_12,X_12))))) != divide(A,B)
| divide(A,divide(B,inverse(inverse(divide(X_12,X_12))))) != divide(A,multiply(B,inverse(divide(X_12,X_12))))
| divide(A,multiply(B,inverse(divide(X_12,X_12)))) = divide(A,B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(B,inverse(inverse(divide(X_12,X_12))))),divide(A,B)) ),[0],$fot(divide(A,multiply(B,inverse(divide(X_12,X_12)))))]]) ).
cnf(refute_0_99,plain,
( divide(A,divide(B,inverse(inverse(divide(X_12,X_12))))) != divide(A,B)
| divide(A,multiply(B,inverse(divide(X_12,X_12)))) = divide(A,B) ),
inference(resolve,[$cnf( $equal(divide(A,divide(B,inverse(inverse(divide(X_12,X_12))))),divide(A,multiply(B,inverse(divide(X_12,X_12))))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
divide(A,multiply(B,inverse(divide(X_12,X_12)))) = divide(A,B),
inference(resolve,[$cnf( $equal(divide(A,divide(B,inverse(inverse(divide(X_12,X_12))))),divide(A,B)) )],[refute_0_92,refute_0_99]) ).
cnf(refute_0_101,plain,
divide(C,multiply(A,inverse(divide(X_8,X_8)))) = divide(C,A),
inference(subst,[],[refute_0_100:[bind(A,$fot(C)),bind(B,$fot(A)),bind(X_12,$fot(X_8))]]) ).
cnf(refute_0_102,plain,
multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))) = multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))),
introduced(tautology,[refl,[$fot(multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))))]]) ).
cnf(refute_0_103,plain,
( multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))) != multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8)))))
| divide(C,multiply(A,inverse(divide(X_8,X_8)))) != divide(C,A)
| multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))) = multiply(A,divide(C,A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))),multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8)))))) ),[1,1],$fot(divide(C,A))]]) ).
cnf(refute_0_104,plain,
( divide(C,multiply(A,inverse(divide(X_8,X_8)))) != divide(C,A)
| multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))) = multiply(A,divide(C,A)) ),
inference(resolve,[$cnf( $equal(multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))),multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8)))))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))) = multiply(A,divide(C,A)),
inference(resolve,[$cnf( $equal(divide(C,multiply(A,inverse(divide(X_8,X_8)))),divide(C,A)) )],[refute_0_101,refute_0_104]) ).
cnf(refute_0_106,plain,
( multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))) != C
| multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))) != multiply(A,divide(C,A))
| multiply(A,divide(C,A)) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))),C) ),[0],$fot(multiply(A,divide(C,A)))]]) ).
cnf(refute_0_107,plain,
( multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))) != C
| multiply(A,divide(C,A)) = C ),
inference(resolve,[$cnf( $equal(multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))),multiply(A,divide(C,A))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
multiply(A,divide(C,A)) = C,
inference(resolve,[$cnf( $equal(multiply(A,divide(C,multiply(A,inverse(divide(X_8,X_8))))),C) )],[refute_0_53,refute_0_107]) ).
cnf(refute_0_109,plain,
multiply(divide(inverse(X_61),divide(X_60,multiply(C,X_61))),divide(C,divide(inverse(X_61),divide(X_60,multiply(C,X_61))))) = C,
inference(subst,[],[refute_0_108:[bind(A,$fot(divide(inverse(X_61),divide(X_60,multiply(C,X_61)))))]]) ).
cnf(refute_0_110,plain,
divide(A,divide(inverse(X_19),divide(C,divide(A,inverse(X_19))))) = C,
inference(subst,[],[single_axiom:[bind(B,$fot(inverse(X_19)))]]) ).
cnf(refute_0_111,plain,
multiply(A,X_19) = divide(A,inverse(X_19)),
inference(subst,[],[refute_0_33:[bind(B,$fot(X_19))]]) ).
cnf(refute_0_112,plain,
( multiply(A,X_19) != divide(A,inverse(X_19))
| divide(A,inverse(X_19)) = multiply(A,X_19) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(multiply(A,X_19))),bind(Y,$fot(divide(A,inverse(X_19))))]]) ).
cnf(refute_0_113,plain,
divide(A,inverse(X_19)) = multiply(A,X_19),
inference(resolve,[$cnf( $equal(multiply(A,X_19),divide(A,inverse(X_19))) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
( divide(A,divide(inverse(X_19),divide(C,divide(A,inverse(X_19))))) != C
| divide(A,inverse(X_19)) != multiply(A,X_19)
| divide(A,divide(inverse(X_19),divide(C,multiply(A,X_19)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(inverse(X_19),divide(C,divide(A,inverse(X_19))))),C) ),[0,1,1,1],$fot(multiply(A,X_19))]]) ).
cnf(refute_0_115,plain,
( divide(A,divide(inverse(X_19),divide(C,divide(A,inverse(X_19))))) != C
| divide(A,divide(inverse(X_19),divide(C,multiply(A,X_19)))) = C ),
inference(resolve,[$cnf( $equal(divide(A,inverse(X_19)),multiply(A,X_19)) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
divide(A,divide(inverse(X_19),divide(C,multiply(A,X_19)))) = C,
inference(resolve,[$cnf( $equal(divide(A,divide(inverse(X_19),divide(C,divide(A,inverse(X_19))))),C) )],[refute_0_110,refute_0_115]) ).
cnf(refute_0_117,plain,
divide(C,divide(inverse(X_61),divide(X_60,multiply(C,X_61)))) = X_60,
inference(subst,[],[refute_0_116:[bind(A,$fot(C)),bind(C,$fot(X_60)),bind(X_19,$fot(X_61))]]) ).
cnf(refute_0_118,plain,
( multiply(divide(inverse(X_61),divide(X_60,multiply(C,X_61))),divide(C,divide(inverse(X_61),divide(X_60,multiply(C,X_61))))) != C
| divide(C,divide(inverse(X_61),divide(X_60,multiply(C,X_61)))) != X_60
| multiply(divide(inverse(X_61),divide(X_60,multiply(C,X_61))),X_60) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(X_61),divide(X_60,multiply(C,X_61))),divide(C,divide(inverse(X_61),divide(X_60,multiply(C,X_61))))),C) ),[0,1],$fot(X_60)]]) ).
cnf(refute_0_119,plain,
( multiply(divide(inverse(X_61),divide(X_60,multiply(C,X_61))),divide(C,divide(inverse(X_61),divide(X_60,multiply(C,X_61))))) != C
| multiply(divide(inverse(X_61),divide(X_60,multiply(C,X_61))),X_60) = C ),
inference(resolve,[$cnf( $equal(divide(C,divide(inverse(X_61),divide(X_60,multiply(C,X_61)))),X_60) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
multiply(divide(inverse(X_61),divide(X_60,multiply(C,X_61))),X_60) = C,
inference(resolve,[$cnf( $equal(multiply(divide(inverse(X_61),divide(X_60,multiply(C,X_61))),divide(C,divide(inverse(X_61),divide(X_60,multiply(C,X_61))))),C) )],[refute_0_109,refute_0_119]) ).
cnf(refute_0_121,plain,
multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_66),X_66))),X_65) = inverse(X_66),
inference(subst,[],[refute_0_120:[bind(C,$fot(inverse(X_66))),bind(X_60,$fot(X_65)),bind(X_61,$fot(X_66))]]) ).
cnf(refute_0_122,plain,
divide(A,divide(B,divide(multiply(inverse(X_23),X_23),divide(A,B)))) = multiply(inverse(X_23),X_23),
inference(subst,[],[single_axiom:[bind(C,$fot(multiply(inverse(X_23),X_23)))]]) ).
cnf(refute_0_123,plain,
inverse(A) = divide(divide(inverse(X_19),inverse(X_19)),A),
inference(subst,[],[inverse:[bind(B,$fot(inverse(X_19)))]]) ).
cnf(refute_0_124,plain,
multiply(inverse(X_19),X_19) = divide(inverse(X_19),inverse(X_19)),
inference(subst,[],[refute_0_33:[bind(A,$fot(inverse(X_19))),bind(B,$fot(X_19))]]) ).
cnf(refute_0_125,plain,
( multiply(inverse(X_19),X_19) != divide(inverse(X_19),inverse(X_19))
| divide(inverse(X_19),inverse(X_19)) = multiply(inverse(X_19),X_19) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(multiply(inverse(X_19),X_19))),bind(Y,$fot(divide(inverse(X_19),inverse(X_19))))]]) ).
cnf(refute_0_126,plain,
divide(inverse(X_19),inverse(X_19)) = multiply(inverse(X_19),X_19),
inference(resolve,[$cnf( $equal(multiply(inverse(X_19),X_19),divide(inverse(X_19),inverse(X_19))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
( divide(inverse(X_19),inverse(X_19)) != multiply(inverse(X_19),X_19)
| inverse(A) != divide(divide(inverse(X_19),inverse(X_19)),A)
| inverse(A) = divide(multiply(inverse(X_19),X_19),A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(divide(inverse(X_19),inverse(X_19)),A)) ),[1,0],$fot(multiply(inverse(X_19),X_19))]]) ).
cnf(refute_0_128,plain,
( inverse(A) != divide(divide(inverse(X_19),inverse(X_19)),A)
| inverse(A) = divide(multiply(inverse(X_19),X_19),A) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_19),inverse(X_19)),multiply(inverse(X_19),X_19)) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
inverse(A) = divide(multiply(inverse(X_19),X_19),A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(inverse(X_19),inverse(X_19)),A)) )],[refute_0_123,refute_0_128]) ).
cnf(refute_0_130,plain,
inverse(divide(A,B)) = divide(multiply(inverse(X_23),X_23),divide(A,B)),
inference(subst,[],[refute_0_129:[bind(A,$fot(divide(A,B))),bind(X_19,$fot(X_23))]]) ).
cnf(refute_0_131,plain,
( inverse(divide(A,B)) != divide(multiply(inverse(X_23),X_23),divide(A,B))
| divide(multiply(inverse(X_23),X_23),divide(A,B)) = inverse(divide(A,B)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(inverse(divide(A,B)))),bind(Y,$fot(divide(multiply(inverse(X_23),X_23),divide(A,B))))]]) ).
cnf(refute_0_132,plain,
divide(multiply(inverse(X_23),X_23),divide(A,B)) = inverse(divide(A,B)),
inference(resolve,[$cnf( $equal(inverse(divide(A,B)),divide(multiply(inverse(X_23),X_23),divide(A,B))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
( divide(A,divide(B,divide(multiply(inverse(X_23),X_23),divide(A,B)))) != multiply(inverse(X_23),X_23)
| divide(multiply(inverse(X_23),X_23),divide(A,B)) != inverse(divide(A,B))
| divide(A,divide(B,inverse(divide(A,B)))) = multiply(inverse(X_23),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(B,divide(multiply(inverse(X_23),X_23),divide(A,B)))),multiply(inverse(X_23),X_23)) ),[0,1,1],$fot(inverse(divide(A,B)))]]) ).
cnf(refute_0_134,plain,
( divide(A,divide(B,divide(multiply(inverse(X_23),X_23),divide(A,B)))) != multiply(inverse(X_23),X_23)
| divide(A,divide(B,inverse(divide(A,B)))) = multiply(inverse(X_23),X_23) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_23),X_23),divide(A,B)),inverse(divide(A,B))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
divide(A,divide(B,inverse(divide(A,B)))) = multiply(inverse(X_23),X_23),
inference(resolve,[$cnf( $equal(divide(A,divide(B,divide(multiply(inverse(X_23),X_23),divide(A,B)))),multiply(inverse(X_23),X_23)) )],[refute_0_122,refute_0_134]) ).
cnf(refute_0_136,plain,
multiply(B,divide(A,B)) = A,
inference(subst,[],[refute_0_108:[bind(A,$fot(B)),bind(C,$fot(A))]]) ).
cnf(refute_0_137,plain,
( multiply(B,divide(A,B)) != A
| divide(B,inverse(divide(A,B))) != multiply(B,divide(A,B))
| divide(B,inverse(divide(A,B))) = A ),
inference(subst,[],[refute_0_47:[bind(X,$fot(divide(B,inverse(divide(A,B))))),bind(Y,$fot(multiply(B,divide(A,B)))),bind(Z,$fot(A))]]) ).
cnf(refute_0_138,plain,
( multiply(B,divide(A,B)) != A
| divide(B,inverse(divide(A,B))) = A ),
inference(resolve,[$cnf( $equal(divide(B,inverse(divide(A,B))),multiply(B,divide(A,B))) )],[refute_0_78,refute_0_137]) ).
cnf(refute_0_139,plain,
divide(B,inverse(divide(A,B))) = A,
inference(resolve,[$cnf( $equal(multiply(B,divide(A,B)),A) )],[refute_0_136,refute_0_138]) ).
cnf(refute_0_140,plain,
( divide(A,divide(B,inverse(divide(A,B)))) != divide(A,divide(B,inverse(divide(A,B))))
| divide(B,inverse(divide(A,B))) != A
| divide(A,divide(B,inverse(divide(A,B)))) = divide(A,A) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(B,inverse(divide(A,B)))),divide(A,divide(B,inverse(divide(A,B))))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_141,plain,
( divide(B,inverse(divide(A,B))) != A
| divide(A,divide(B,inverse(divide(A,B)))) = divide(A,A) ),
inference(resolve,[$cnf( $equal(divide(A,divide(B,inverse(divide(A,B)))),divide(A,divide(B,inverse(divide(A,B))))) )],[refute_0_79,refute_0_140]) ).
cnf(refute_0_142,plain,
divide(A,divide(B,inverse(divide(A,B)))) = divide(A,A),
inference(resolve,[$cnf( $equal(divide(B,inverse(divide(A,B))),A) )],[refute_0_139,refute_0_141]) ).
cnf(refute_0_143,plain,
( divide(A,divide(B,inverse(divide(A,B)))) != multiply(inverse(X_23),X_23)
| divide(A,divide(B,inverse(divide(A,B)))) != divide(A,A)
| divide(A,A) = multiply(inverse(X_23),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(B,inverse(divide(A,B)))),multiply(inverse(X_23),X_23)) ),[0],$fot(divide(A,A))]]) ).
cnf(refute_0_144,plain,
( divide(A,divide(B,inverse(divide(A,B)))) != multiply(inverse(X_23),X_23)
| divide(A,A) = multiply(inverse(X_23),X_23) ),
inference(resolve,[$cnf( $equal(divide(A,divide(B,inverse(divide(A,B)))),divide(A,A)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
divide(A,A) = multiply(inverse(X_23),X_23),
inference(resolve,[$cnf( $equal(divide(A,divide(B,inverse(divide(A,B)))),multiply(inverse(X_23),X_23)) )],[refute_0_135,refute_0_144]) ).
cnf(refute_0_146,plain,
divide(inverse(multiply(inverse(X_39),X_39)),inverse(multiply(inverse(X_39),X_39))) = multiply(inverse(X_23),X_23),
inference(subst,[],[refute_0_145:[bind(A,$fot(inverse(multiply(inverse(X_39),X_39))))]]) ).
cnf(refute_0_147,plain,
inverse(A) = divide(divide(multiply(inverse(X_23),X_23),multiply(inverse(X_23),X_23)),A),
inference(subst,[],[inverse:[bind(B,$fot(multiply(inverse(X_23),X_23)))]]) ).
cnf(refute_0_148,plain,
inverse(multiply(inverse(X_23),X_23)) = divide(multiply(inverse(X_23),X_23),multiply(inverse(X_23),X_23)),
inference(subst,[],[refute_0_129:[bind(A,$fot(multiply(inverse(X_23),X_23))),bind(X_19,$fot(X_23))]]) ).
cnf(refute_0_149,plain,
( inverse(multiply(inverse(X_23),X_23)) != divide(multiply(inverse(X_23),X_23),multiply(inverse(X_23),X_23))
| divide(multiply(inverse(X_23),X_23),multiply(inverse(X_23),X_23)) = inverse(multiply(inverse(X_23),X_23)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(inverse(multiply(inverse(X_23),X_23)))),bind(Y,$fot(divide(multiply(inverse(X_23),X_23),multiply(inverse(X_23),X_23))))]]) ).
cnf(refute_0_150,plain,
divide(multiply(inverse(X_23),X_23),multiply(inverse(X_23),X_23)) = inverse(multiply(inverse(X_23),X_23)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_23),X_23)),divide(multiply(inverse(X_23),X_23),multiply(inverse(X_23),X_23))) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
( divide(multiply(inverse(X_23),X_23),multiply(inverse(X_23),X_23)) != inverse(multiply(inverse(X_23),X_23))
| inverse(A) != divide(divide(multiply(inverse(X_23),X_23),multiply(inverse(X_23),X_23)),A)
| inverse(A) = divide(inverse(multiply(inverse(X_23),X_23)),A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(divide(multiply(inverse(X_23),X_23),multiply(inverse(X_23),X_23)),A)) ),[1,0],$fot(inverse(multiply(inverse(X_23),X_23)))]]) ).
cnf(refute_0_152,plain,
( inverse(A) != divide(divide(multiply(inverse(X_23),X_23),multiply(inverse(X_23),X_23)),A)
| inverse(A) = divide(inverse(multiply(inverse(X_23),X_23)),A) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_23),X_23),multiply(inverse(X_23),X_23)),inverse(multiply(inverse(X_23),X_23))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
inverse(A) = divide(inverse(multiply(inverse(X_23),X_23)),A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(multiply(inverse(X_23),X_23),multiply(inverse(X_23),X_23)),A)) )],[refute_0_147,refute_0_152]) ).
cnf(refute_0_154,plain,
inverse(inverse(multiply(inverse(X_39),X_39))) = divide(inverse(multiply(inverse(X_39),X_39)),inverse(multiply(inverse(X_39),X_39))),
inference(subst,[],[refute_0_153:[bind(A,$fot(inverse(multiply(inverse(X_39),X_39)))),bind(X_23,$fot(X_39))]]) ).
cnf(refute_0_155,plain,
( inverse(inverse(multiply(inverse(X_39),X_39))) != divide(inverse(multiply(inverse(X_39),X_39)),inverse(multiply(inverse(X_39),X_39)))
| divide(inverse(multiply(inverse(X_39),X_39)),inverse(multiply(inverse(X_39),X_39))) = inverse(inverse(multiply(inverse(X_39),X_39))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(inverse(inverse(multiply(inverse(X_39),X_39))))),bind(Y,$fot(divide(inverse(multiply(inverse(X_39),X_39)),inverse(multiply(inverse(X_39),X_39)))))]]) ).
cnf(refute_0_156,plain,
divide(inverse(multiply(inverse(X_39),X_39)),inverse(multiply(inverse(X_39),X_39))) = inverse(inverse(multiply(inverse(X_39),X_39))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_39),X_39))),divide(inverse(multiply(inverse(X_39),X_39)),inverse(multiply(inverse(X_39),X_39)))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
( divide(inverse(multiply(inverse(X_39),X_39)),inverse(multiply(inverse(X_39),X_39))) != multiply(inverse(X_23),X_23)
| divide(inverse(multiply(inverse(X_39),X_39)),inverse(multiply(inverse(X_39),X_39))) != inverse(inverse(multiply(inverse(X_39),X_39)))
| inverse(inverse(multiply(inverse(X_39),X_39))) = multiply(inverse(X_23),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(multiply(inverse(X_39),X_39)),inverse(multiply(inverse(X_39),X_39))),multiply(inverse(X_23),X_23)) ),[0],$fot(inverse(inverse(multiply(inverse(X_39),X_39))))]]) ).
cnf(refute_0_158,plain,
( divide(inverse(multiply(inverse(X_39),X_39)),inverse(multiply(inverse(X_39),X_39))) != multiply(inverse(X_23),X_23)
| inverse(inverse(multiply(inverse(X_39),X_39))) = multiply(inverse(X_23),X_23) ),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(inverse(X_39),X_39)),inverse(multiply(inverse(X_39),X_39))),inverse(inverse(multiply(inverse(X_39),X_39)))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
inverse(inverse(multiply(inverse(X_39),X_39))) = multiply(inverse(X_23),X_23),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(inverse(X_39),X_39)),inverse(multiply(inverse(X_39),X_39))),multiply(inverse(X_23),X_23)) )],[refute_0_146,refute_0_158]) ).
cnf(refute_0_160,plain,
inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))) = divide(divide(B,B),divide(X_5,divide(X_6,divide(divide(B,B),X_5)))),
inference(subst,[],[inverse:[bind(A,$fot(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))))]]) ).
cnf(refute_0_161,plain,
divide(divide(B,B),divide(X_5,divide(X_6,divide(divide(B,B),X_5)))) = X_6,
inference(subst,[],[single_axiom:[bind(A,$fot(divide(B,B))),bind(B,$fot(X_5)),bind(C,$fot(X_6))]]) ).
cnf(refute_0_162,plain,
( divide(divide(B,B),divide(X_5,divide(X_6,divide(divide(B,B),X_5)))) != X_6
| inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))) != divide(divide(B,B),divide(X_5,divide(X_6,divide(divide(B,B),X_5))))
| inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))),divide(divide(B,B),divide(X_5,divide(X_6,divide(divide(B,B),X_5))))) ),[1],$fot(X_6)]]) ).
cnf(refute_0_163,plain,
( inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))) != divide(divide(B,B),divide(X_5,divide(X_6,divide(divide(B,B),X_5))))
| inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))) = X_6 ),
inference(resolve,[$cnf( $equal(divide(divide(B,B),divide(X_5,divide(X_6,divide(divide(B,B),X_5)))),X_6) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))) = X_6,
inference(resolve,[$cnf( $equal(inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))),divide(divide(B,B),divide(X_5,divide(X_6,divide(divide(B,B),X_5))))) )],[refute_0_160,refute_0_163]) ).
cnf(refute_0_165,plain,
divide(X_6,inverse(X_5)) = multiply(X_6,X_5),
inference(subst,[],[refute_0_35:[bind(A,$fot(X_6)),bind(B,$fot(X_5))]]) ).
cnf(refute_0_166,plain,
divide(divide(B,B),X_5) = inverse(X_5),
inference(subst,[],[refute_0_25:[bind(A,$fot(X_5))]]) ).
cnf(refute_0_167,plain,
divide(X_6,divide(divide(B,B),X_5)) = divide(X_6,divide(divide(B,B),X_5)),
introduced(tautology,[refl,[$fot(divide(X_6,divide(divide(B,B),X_5)))]]) ).
cnf(refute_0_168,plain,
( divide(X_6,divide(divide(B,B),X_5)) != divide(X_6,divide(divide(B,B),X_5))
| divide(divide(B,B),X_5) != inverse(X_5)
| divide(X_6,divide(divide(B,B),X_5)) = divide(X_6,inverse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_6,divide(divide(B,B),X_5)),divide(X_6,divide(divide(B,B),X_5))) ),[1,1],$fot(inverse(X_5))]]) ).
cnf(refute_0_169,plain,
( divide(divide(B,B),X_5) != inverse(X_5)
| divide(X_6,divide(divide(B,B),X_5)) = divide(X_6,inverse(X_5)) ),
inference(resolve,[$cnf( $equal(divide(X_6,divide(divide(B,B),X_5)),divide(X_6,divide(divide(B,B),X_5))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
divide(X_6,divide(divide(B,B),X_5)) = divide(X_6,inverse(X_5)),
inference(resolve,[$cnf( $equal(divide(divide(B,B),X_5),inverse(X_5)) )],[refute_0_166,refute_0_169]) ).
cnf(refute_0_171,plain,
( divide(X_6,divide(divide(B,B),X_5)) != divide(X_6,inverse(X_5))
| divide(X_6,inverse(X_5)) != multiply(X_6,X_5)
| divide(X_6,divide(divide(B,B),X_5)) = multiply(X_6,X_5) ),
inference(subst,[],[refute_0_47:[bind(X,$fot(divide(X_6,divide(divide(B,B),X_5)))),bind(Y,$fot(divide(X_6,inverse(X_5)))),bind(Z,$fot(multiply(X_6,X_5)))]]) ).
cnf(refute_0_172,plain,
( divide(X_6,inverse(X_5)) != multiply(X_6,X_5)
| divide(X_6,divide(divide(B,B),X_5)) = multiply(X_6,X_5) ),
inference(resolve,[$cnf( $equal(divide(X_6,divide(divide(B,B),X_5)),divide(X_6,inverse(X_5))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
divide(X_6,divide(divide(B,B),X_5)) = multiply(X_6,X_5),
inference(resolve,[$cnf( $equal(divide(X_6,inverse(X_5)),multiply(X_6,X_5)) )],[refute_0_165,refute_0_172]) ).
cnf(refute_0_174,plain,
divide(X_5,divide(X_6,divide(divide(B,B),X_5))) = divide(X_5,divide(X_6,divide(divide(B,B),X_5))),
introduced(tautology,[refl,[$fot(divide(X_5,divide(X_6,divide(divide(B,B),X_5))))]]) ).
cnf(refute_0_175,plain,
( divide(X_5,divide(X_6,divide(divide(B,B),X_5))) != divide(X_5,divide(X_6,divide(divide(B,B),X_5)))
| divide(X_6,divide(divide(B,B),X_5)) != multiply(X_6,X_5)
| divide(X_5,divide(X_6,divide(divide(B,B),X_5))) = divide(X_5,multiply(X_6,X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_5,divide(X_6,divide(divide(B,B),X_5))),divide(X_5,divide(X_6,divide(divide(B,B),X_5)))) ),[1,1],$fot(multiply(X_6,X_5))]]) ).
cnf(refute_0_176,plain,
( divide(X_6,divide(divide(B,B),X_5)) != multiply(X_6,X_5)
| divide(X_5,divide(X_6,divide(divide(B,B),X_5))) = divide(X_5,multiply(X_6,X_5)) ),
inference(resolve,[$cnf( $equal(divide(X_5,divide(X_6,divide(divide(B,B),X_5))),divide(X_5,divide(X_6,divide(divide(B,B),X_5)))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
divide(X_5,divide(X_6,divide(divide(B,B),X_5))) = divide(X_5,multiply(X_6,X_5)),
inference(resolve,[$cnf( $equal(divide(X_6,divide(divide(B,B),X_5)),multiply(X_6,X_5)) )],[refute_0_173,refute_0_176]) ).
cnf(refute_0_178,plain,
inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))) = inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))),
introduced(tautology,[refl,[$fot(inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))))]]) ).
cnf(refute_0_179,plain,
( divide(X_5,divide(X_6,divide(divide(B,B),X_5))) != divide(X_5,multiply(X_6,X_5))
| inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))) != inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5))))
| inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))) = inverse(divide(X_5,multiply(X_6,X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))),inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5))))) ),[1,0],$fot(divide(X_5,multiply(X_6,X_5)))]]) ).
cnf(refute_0_180,plain,
( divide(X_5,divide(X_6,divide(divide(B,B),X_5))) != divide(X_5,multiply(X_6,X_5))
| inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))) = inverse(divide(X_5,multiply(X_6,X_5))) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))),inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5))))) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))) = inverse(divide(X_5,multiply(X_6,X_5))),
inference(resolve,[$cnf( $equal(divide(X_5,divide(X_6,divide(divide(B,B),X_5))),divide(X_5,multiply(X_6,X_5))) )],[refute_0_177,refute_0_180]) ).
cnf(refute_0_182,plain,
( inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))) != X_6
| inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))) != inverse(divide(X_5,multiply(X_6,X_5)))
| inverse(divide(X_5,multiply(X_6,X_5))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))),X_6) ),[0],$fot(inverse(divide(X_5,multiply(X_6,X_5))))]]) ).
cnf(refute_0_183,plain,
( inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))) != X_6
| inverse(divide(X_5,multiply(X_6,X_5))) = X_6 ),
inference(resolve,[$cnf( $equal(inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))),inverse(divide(X_5,multiply(X_6,X_5)))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
inverse(divide(X_5,multiply(X_6,X_5))) = X_6,
inference(resolve,[$cnf( $equal(inverse(divide(X_5,divide(X_6,divide(divide(B,B),X_5)))),X_6) )],[refute_0_164,refute_0_183]) ).
cnf(refute_0_185,plain,
inverse(divide(inverse(inverse(divide(X_3,X_3))),multiply(X_16,inverse(inverse(divide(X_3,X_3)))))) = X_16,
inference(subst,[],[refute_0_184:[bind(X_5,$fot(inverse(inverse(divide(X_3,X_3))))),bind(X_6,$fot(X_16))]]) ).
cnf(refute_0_186,plain,
inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))) = divide(inverse(inverse(divide(X_3,X_3))),multiply(X_16,inverse(inverse(divide(X_3,X_3))))),
inference(subst,[],[refute_0_17:[bind(A,$fot(multiply(X_16,inverse(inverse(divide(X_3,X_3))))))]]) ).
cnf(refute_0_187,plain,
( inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))) != divide(inverse(inverse(divide(X_3,X_3))),multiply(X_16,inverse(inverse(divide(X_3,X_3)))))
| divide(inverse(inverse(divide(X_3,X_3))),multiply(X_16,inverse(inverse(divide(X_3,X_3))))) = inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))))),bind(Y,$fot(divide(inverse(inverse(divide(X_3,X_3))),multiply(X_16,inverse(inverse(divide(X_3,X_3)))))))]]) ).
cnf(refute_0_188,plain,
divide(inverse(inverse(divide(X_3,X_3))),multiply(X_16,inverse(inverse(divide(X_3,X_3))))) = inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))),divide(inverse(inverse(divide(X_3,X_3))),multiply(X_16,inverse(inverse(divide(X_3,X_3)))))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
( divide(inverse(inverse(divide(X_3,X_3))),multiply(X_16,inverse(inverse(divide(X_3,X_3))))) != inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))
| inverse(divide(inverse(inverse(divide(X_3,X_3))),multiply(X_16,inverse(inverse(divide(X_3,X_3)))))) != X_16
| inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(inverse(divide(X_3,X_3))),multiply(X_16,inverse(inverse(divide(X_3,X_3)))))),X_16) ),[0,0],$fot(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))))]]) ).
cnf(refute_0_190,plain,
( inverse(divide(inverse(inverse(divide(X_3,X_3))),multiply(X_16,inverse(inverse(divide(X_3,X_3)))))) != X_16
| inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))) = X_16 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(divide(X_3,X_3))),multiply(X_16,inverse(inverse(divide(X_3,X_3))))),inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))) = X_16,
inference(resolve,[$cnf( $equal(inverse(divide(inverse(inverse(divide(X_3,X_3))),multiply(X_16,inverse(inverse(divide(X_3,X_3)))))),X_16) )],[refute_0_185,refute_0_190]) ).
cnf(refute_0_192,plain,
divide(B,divide(B,divide(C,divide(B,B)))) = C,
inference(subst,[],[single_axiom:[bind(A,$fot(B))]]) ).
cnf(refute_0_193,plain,
divide(A,divide(B,divide(inverse(inverse(inverse(divide(X_10,X_10)))),divide(A,B)))) = inverse(inverse(inverse(divide(X_10,X_10)))),
inference(subst,[],[single_axiom:[bind(C,$fot(inverse(inverse(inverse(divide(X_10,X_10))))))]]) ).
cnf(refute_0_194,plain,
inverse(A) = divide(inverse(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))),A),
inference(subst,[],[refute_0_11:[bind(X_1,$fot(inverse(divide(X_3,X_3))))]]) ).
cnf(refute_0_195,plain,
( divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))) != inverse(inverse(divide(X_3,X_3)))
| inverse(A) != divide(inverse(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))),A)
| inverse(A) = divide(inverse(inverse(inverse(divide(X_3,X_3)))),A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(inverse(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))),A)) ),[1,0,0],$fot(inverse(inverse(divide(X_3,X_3))))]]) ).
cnf(refute_0_196,plain,
( inverse(A) != divide(inverse(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))),A)
| inverse(A) = divide(inverse(inverse(inverse(divide(X_3,X_3)))),A) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),inverse(inverse(divide(X_3,X_3)))) )],[refute_0_14,refute_0_195]) ).
cnf(refute_0_197,plain,
inverse(A) = divide(inverse(inverse(inverse(divide(X_3,X_3)))),A),
inference(resolve,[$cnf( $equal(inverse(A),divide(inverse(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))),A)) )],[refute_0_194,refute_0_196]) ).
cnf(refute_0_198,plain,
inverse(divide(A,B)) = divide(inverse(inverse(inverse(divide(X_10,X_10)))),divide(A,B)),
inference(subst,[],[refute_0_197:[bind(A,$fot(divide(A,B))),bind(X_3,$fot(X_10))]]) ).
cnf(refute_0_199,plain,
( inverse(divide(A,B)) != divide(inverse(inverse(inverse(divide(X_10,X_10)))),divide(A,B))
| divide(inverse(inverse(inverse(divide(X_10,X_10)))),divide(A,B)) = inverse(divide(A,B)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(inverse(divide(A,B)))),bind(Y,$fot(divide(inverse(inverse(inverse(divide(X_10,X_10)))),divide(A,B))))]]) ).
cnf(refute_0_200,plain,
divide(inverse(inverse(inverse(divide(X_10,X_10)))),divide(A,B)) = inverse(divide(A,B)),
inference(resolve,[$cnf( $equal(inverse(divide(A,B)),divide(inverse(inverse(inverse(divide(X_10,X_10)))),divide(A,B))) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
( divide(A,divide(B,divide(inverse(inverse(inverse(divide(X_10,X_10)))),divide(A,B)))) != inverse(inverse(inverse(divide(X_10,X_10))))
| divide(inverse(inverse(inverse(divide(X_10,X_10)))),divide(A,B)) != inverse(divide(A,B))
| divide(A,divide(B,inverse(divide(A,B)))) = inverse(inverse(inverse(divide(X_10,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(B,divide(inverse(inverse(inverse(divide(X_10,X_10)))),divide(A,B)))),inverse(inverse(inverse(divide(X_10,X_10))))) ),[0,1,1],$fot(inverse(divide(A,B)))]]) ).
cnf(refute_0_202,plain,
( divide(A,divide(B,divide(inverse(inverse(inverse(divide(X_10,X_10)))),divide(A,B)))) != inverse(inverse(inverse(divide(X_10,X_10))))
| divide(A,divide(B,inverse(divide(A,B)))) = inverse(inverse(inverse(divide(X_10,X_10)))) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(inverse(divide(X_10,X_10)))),divide(A,B)),inverse(divide(A,B))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
divide(A,divide(B,inverse(divide(A,B)))) = inverse(inverse(inverse(divide(X_10,X_10)))),
inference(resolve,[$cnf( $equal(divide(A,divide(B,divide(inverse(inverse(inverse(divide(X_10,X_10)))),divide(A,B)))),inverse(inverse(inverse(divide(X_10,X_10))))) )],[refute_0_193,refute_0_202]) ).
cnf(refute_0_204,plain,
( divide(A,divide(B,inverse(divide(A,B)))) != divide(B,B)
| divide(A,divide(B,inverse(divide(A,B)))) != inverse(inverse(inverse(divide(X_10,X_10))))
| divide(B,B) = inverse(inverse(inverse(divide(X_10,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(B,inverse(divide(A,B)))),inverse(inverse(inverse(divide(X_10,X_10))))) ),[0],$fot(divide(B,B))]]) ).
cnf(refute_0_205,plain,
( divide(A,divide(B,inverse(divide(A,B)))) != inverse(inverse(inverse(divide(X_10,X_10))))
| divide(B,B) = inverse(inverse(inverse(divide(X_10,X_10)))) ),
inference(resolve,[$cnf( $equal(divide(A,divide(B,inverse(divide(A,B)))),divide(B,B)) )],[refute_0_85,refute_0_204]) ).
cnf(refute_0_206,plain,
divide(B,B) = inverse(inverse(inverse(divide(X_10,X_10)))),
inference(resolve,[$cnf( $equal(divide(A,divide(B,inverse(divide(A,B)))),inverse(inverse(inverse(divide(X_10,X_10))))) )],[refute_0_203,refute_0_205]) ).
cnf(refute_0_207,plain,
divide(B,B) = inverse(inverse(inverse(divide(X_14,X_14)))),
inference(subst,[],[refute_0_206:[bind(X_10,$fot(X_14))]]) ).
cnf(refute_0_208,plain,
( divide(B,B) != inverse(inverse(inverse(divide(X_14,X_14))))
| divide(B,divide(B,divide(C,divide(B,B)))) != C
| divide(B,divide(B,divide(C,inverse(inverse(inverse(divide(X_14,X_14))))))) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(B,divide(B,divide(C,divide(B,B)))),C) ),[0,1,1,1],$fot(inverse(inverse(inverse(divide(X_14,X_14)))))]]) ).
cnf(refute_0_209,plain,
( divide(B,divide(B,divide(C,divide(B,B)))) != C
| divide(B,divide(B,divide(C,inverse(inverse(inverse(divide(X_14,X_14))))))) = C ),
inference(resolve,[$cnf( $equal(divide(B,B),inverse(inverse(inverse(divide(X_14,X_14))))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
divide(B,divide(B,divide(C,inverse(inverse(inverse(divide(X_14,X_14))))))) = C,
inference(resolve,[$cnf( $equal(divide(B,divide(B,divide(C,divide(B,B)))),C) )],[refute_0_192,refute_0_209]) ).
cnf(refute_0_211,plain,
divide(C,inverse(inverse(inverse(divide(X_14,X_14))))) = multiply(C,inverse(inverse(divide(X_14,X_14)))),
inference(subst,[],[refute_0_35:[bind(A,$fot(C)),bind(B,$fot(inverse(inverse(divide(X_14,X_14)))))]]) ).
cnf(refute_0_212,plain,
divide(B,B) = inverse(inverse(divide(X_12,X_12))),
inference(subst,[],[refute_0_88:[bind(X_8,$fot(X_12))]]) ).
cnf(refute_0_213,plain,
( divide(B,B) != inverse(inverse(divide(X_12,X_12)))
| divide(B,divide(B,divide(C,divide(B,B)))) != C
| divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(B,divide(B,divide(C,divide(B,B)))),C) ),[0,1,1,1],$fot(inverse(inverse(divide(X_12,X_12))))]]) ).
cnf(refute_0_214,plain,
( divide(B,divide(B,divide(C,divide(B,B)))) != C
| divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))) = C ),
inference(resolve,[$cnf( $equal(divide(B,B),inverse(inverse(divide(X_12,X_12)))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))) = C,
inference(resolve,[$cnf( $equal(divide(B,divide(B,divide(C,divide(B,B)))),C) )],[refute_0_192,refute_0_214]) ).
cnf(refute_0_216,plain,
divide(C,inverse(inverse(divide(X_12,X_12)))) = multiply(C,inverse(divide(X_12,X_12))),
inference(subst,[],[refute_0_35:[bind(A,$fot(C)),bind(B,$fot(inverse(divide(X_12,X_12))))]]) ).
cnf(refute_0_217,plain,
divide(B,divide(C,inverse(inverse(divide(X_12,X_12))))) = divide(B,divide(C,inverse(inverse(divide(X_12,X_12))))),
introduced(tautology,[refl,[$fot(divide(B,divide(C,inverse(inverse(divide(X_12,X_12))))))]]) ).
cnf(refute_0_218,plain,
( divide(B,divide(C,inverse(inverse(divide(X_12,X_12))))) != divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))
| divide(C,inverse(inverse(divide(X_12,X_12)))) != multiply(C,inverse(divide(X_12,X_12)))
| divide(B,divide(C,inverse(inverse(divide(X_12,X_12))))) = divide(B,multiply(C,inverse(divide(X_12,X_12)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(B,divide(C,inverse(inverse(divide(X_12,X_12))))),divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))) ),[1,1],$fot(multiply(C,inverse(divide(X_12,X_12))))]]) ).
cnf(refute_0_219,plain,
( divide(C,inverse(inverse(divide(X_12,X_12)))) != multiply(C,inverse(divide(X_12,X_12)))
| divide(B,divide(C,inverse(inverse(divide(X_12,X_12))))) = divide(B,multiply(C,inverse(divide(X_12,X_12)))) ),
inference(resolve,[$cnf( $equal(divide(B,divide(C,inverse(inverse(divide(X_12,X_12))))),divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
divide(B,divide(C,inverse(inverse(divide(X_12,X_12))))) = divide(B,multiply(C,inverse(divide(X_12,X_12)))),
inference(resolve,[$cnf( $equal(divide(C,inverse(inverse(divide(X_12,X_12)))),multiply(C,inverse(divide(X_12,X_12)))) )],[refute_0_216,refute_0_219]) ).
cnf(refute_0_221,plain,
divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))) = divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))),
introduced(tautology,[refl,[$fot(divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))))]]) ).
cnf(refute_0_222,plain,
( divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))) != divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12))))))
| divide(B,divide(C,inverse(inverse(divide(X_12,X_12))))) != divide(B,multiply(C,inverse(divide(X_12,X_12))))
| divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))) = divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))),divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12))))))) ),[1,1],$fot(divide(B,multiply(C,inverse(divide(X_12,X_12)))))]]) ).
cnf(refute_0_223,plain,
( divide(B,divide(C,inverse(inverse(divide(X_12,X_12))))) != divide(B,multiply(C,inverse(divide(X_12,X_12))))
| divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))) = divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))) ),
inference(resolve,[$cnf( $equal(divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))),divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12))))))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))) = divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))),
inference(resolve,[$cnf( $equal(divide(B,divide(C,inverse(inverse(divide(X_12,X_12))))),divide(B,multiply(C,inverse(divide(X_12,X_12))))) )],[refute_0_220,refute_0_223]) ).
cnf(refute_0_225,plain,
( divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))) != C
| divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))) != divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12)))))
| divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))),C) ),[0],$fot(divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))))]]) ).
cnf(refute_0_226,plain,
( divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))) != C
| divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))) = C ),
inference(resolve,[$cnf( $equal(divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))),divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12)))))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))) = C,
inference(resolve,[$cnf( $equal(divide(B,divide(B,divide(C,inverse(inverse(divide(X_12,X_12)))))),C) )],[refute_0_215,refute_0_226]) ).
cnf(refute_0_228,plain,
divide(B,multiply(C,inverse(divide(X_12,X_12)))) = divide(B,C),
inference(subst,[],[refute_0_100:[bind(A,$fot(B)),bind(B,$fot(C))]]) ).
cnf(refute_0_229,plain,
divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))) = divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))),
introduced(tautology,[refl,[$fot(divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))))]]) ).
cnf(refute_0_230,plain,
( divide(B,multiply(C,inverse(divide(X_12,X_12)))) != divide(B,C)
| divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))) != divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12)))))
| divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))) = divide(B,divide(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))),divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12)))))) ),[1,1],$fot(divide(B,C))]]) ).
cnf(refute_0_231,plain,
( divide(B,multiply(C,inverse(divide(X_12,X_12)))) != divide(B,C)
| divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))) = divide(B,divide(B,C)) ),
inference(resolve,[$cnf( $equal(divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))),divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12)))))) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))) = divide(B,divide(B,C)),
inference(resolve,[$cnf( $equal(divide(B,multiply(C,inverse(divide(X_12,X_12)))),divide(B,C)) )],[refute_0_228,refute_0_231]) ).
cnf(refute_0_233,plain,
( divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))) != C
| divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))) != divide(B,divide(B,C))
| divide(B,divide(B,C)) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))),C) ),[0],$fot(divide(B,divide(B,C)))]]) ).
cnf(refute_0_234,plain,
( divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))) != C
| divide(B,divide(B,C)) = C ),
inference(resolve,[$cnf( $equal(divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))),divide(B,divide(B,C))) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
divide(B,divide(B,C)) = C,
inference(resolve,[$cnf( $equal(divide(B,divide(B,multiply(C,inverse(divide(X_12,X_12))))),C) )],[refute_0_227,refute_0_234]) ).
cnf(refute_0_236,plain,
divide(B,divide(B,divide(C,inverse(inverse(inverse(divide(X_14,X_14))))))) = divide(C,inverse(inverse(inverse(divide(X_14,X_14))))),
inference(subst,[],[refute_0_235:[bind(C,$fot(divide(C,inverse(inverse(inverse(divide(X_14,X_14)))))))]]) ).
cnf(refute_0_237,plain,
( divide(B,divide(B,divide(C,inverse(inverse(inverse(divide(X_14,X_14))))))) != divide(C,inverse(inverse(inverse(divide(X_14,X_14)))))
| divide(C,inverse(inverse(inverse(divide(X_14,X_14))))) != multiply(C,inverse(inverse(divide(X_14,X_14))))
| divide(B,divide(B,divide(C,inverse(inverse(inverse(divide(X_14,X_14))))))) = multiply(C,inverse(inverse(divide(X_14,X_14)))) ),
inference(subst,[],[refute_0_47:[bind(X,$fot(divide(B,divide(B,divide(C,inverse(inverse(inverse(divide(X_14,X_14))))))))),bind(Y,$fot(divide(C,inverse(inverse(inverse(divide(X_14,X_14))))))),bind(Z,$fot(multiply(C,inverse(inverse(divide(X_14,X_14))))))]]) ).
cnf(refute_0_238,plain,
( divide(C,inverse(inverse(inverse(divide(X_14,X_14))))) != multiply(C,inverse(inverse(divide(X_14,X_14))))
| divide(B,divide(B,divide(C,inverse(inverse(inverse(divide(X_14,X_14))))))) = multiply(C,inverse(inverse(divide(X_14,X_14)))) ),
inference(resolve,[$cnf( $equal(divide(B,divide(B,divide(C,inverse(inverse(inverse(divide(X_14,X_14))))))),divide(C,inverse(inverse(inverse(divide(X_14,X_14)))))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
divide(B,divide(B,divide(C,inverse(inverse(inverse(divide(X_14,X_14))))))) = multiply(C,inverse(inverse(divide(X_14,X_14)))),
inference(resolve,[$cnf( $equal(divide(C,inverse(inverse(inverse(divide(X_14,X_14))))),multiply(C,inverse(inverse(divide(X_14,X_14))))) )],[refute_0_211,refute_0_238]) ).
cnf(refute_0_240,plain,
( divide(B,divide(B,divide(C,inverse(inverse(inverse(divide(X_14,X_14))))))) != C
| divide(B,divide(B,divide(C,inverse(inverse(inverse(divide(X_14,X_14))))))) != multiply(C,inverse(inverse(divide(X_14,X_14))))
| multiply(C,inverse(inverse(divide(X_14,X_14)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(B,divide(B,divide(C,inverse(inverse(inverse(divide(X_14,X_14))))))),C) ),[0],$fot(multiply(C,inverse(inverse(divide(X_14,X_14)))))]]) ).
cnf(refute_0_241,plain,
( divide(B,divide(B,divide(C,inverse(inverse(inverse(divide(X_14,X_14))))))) != C
| multiply(C,inverse(inverse(divide(X_14,X_14)))) = C ),
inference(resolve,[$cnf( $equal(divide(B,divide(B,divide(C,inverse(inverse(inverse(divide(X_14,X_14))))))),multiply(C,inverse(inverse(divide(X_14,X_14))))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
multiply(C,inverse(inverse(divide(X_14,X_14)))) = C,
inference(resolve,[$cnf( $equal(divide(B,divide(B,divide(C,inverse(inverse(inverse(divide(X_14,X_14))))))),C) )],[refute_0_210,refute_0_241]) ).
cnf(refute_0_243,plain,
multiply(X_16,inverse(inverse(divide(X_3,X_3)))) = X_16,
inference(subst,[],[refute_0_242:[bind(C,$fot(X_16)),bind(X_14,$fot(X_3))]]) ).
cnf(refute_0_244,plain,
inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))) = inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))))]]) ).
cnf(refute_0_245,plain,
( multiply(X_16,inverse(inverse(divide(X_3,X_3)))) != X_16
| inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))) != inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))
| inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))) = inverse(X_16) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))),inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))) ),[1,0],$fot(X_16)]]) ).
cnf(refute_0_246,plain,
( multiply(X_16,inverse(inverse(divide(X_3,X_3)))) != X_16
| inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))) = inverse(X_16) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))),inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))) = inverse(X_16),
inference(resolve,[$cnf( $equal(multiply(X_16,inverse(inverse(divide(X_3,X_3)))),X_16) )],[refute_0_243,refute_0_246]) ).
cnf(refute_0_248,plain,
inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))) = inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))),
introduced(tautology,[refl,[$fot(inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))))]]) ).
cnf(refute_0_249,plain,
( inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))) != inverse(X_16)
| inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))) != inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))))
| inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))) = inverse(inverse(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))),inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))))) ),[1,0],$fot(inverse(X_16))]]) ).
cnf(refute_0_250,plain,
( inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))) != inverse(X_16)
| inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))) = inverse(inverse(X_16)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))),inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))) = inverse(inverse(X_16)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3))))),inverse(X_16)) )],[refute_0_247,refute_0_250]) ).
cnf(refute_0_252,plain,
( inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))) != X_16
| inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))) != inverse(inverse(X_16))
| inverse(inverse(X_16)) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))),X_16) ),[0],$fot(inverse(inverse(X_16)))]]) ).
cnf(refute_0_253,plain,
( inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))) != X_16
| inverse(inverse(X_16)) = X_16 ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))),inverse(inverse(X_16))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
inverse(inverse(X_16)) = X_16,
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_16,inverse(inverse(divide(X_3,X_3)))))),X_16) )],[refute_0_191,refute_0_253]) ).
cnf(refute_0_255,plain,
inverse(inverse(multiply(inverse(X_39),X_39))) = multiply(inverse(X_39),X_39),
inference(subst,[],[refute_0_254:[bind(X_16,$fot(multiply(inverse(X_39),X_39)))]]) ).
cnf(refute_0_256,plain,
( inverse(inverse(multiply(inverse(X_39),X_39))) != multiply(inverse(X_23),X_23)
| inverse(inverse(multiply(inverse(X_39),X_39))) != multiply(inverse(X_39),X_39)
| multiply(inverse(X_39),X_39) = multiply(inverse(X_23),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(inverse(X_39),X_39))),multiply(inverse(X_23),X_23)) ),[0],$fot(multiply(inverse(X_39),X_39))]]) ).
cnf(refute_0_257,plain,
( inverse(inverse(multiply(inverse(X_39),X_39))) != multiply(inverse(X_23),X_23)
| multiply(inverse(X_39),X_39) = multiply(inverse(X_23),X_23) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_39),X_39))),multiply(inverse(X_39),X_39)) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
multiply(inverse(X_39),X_39) = multiply(inverse(X_23),X_23),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_39),X_39))),multiply(inverse(X_23),X_23)) )],[refute_0_159,refute_0_257]) ).
cnf(refute_0_259,plain,
multiply(inverse(X_39),X_39) = multiply(inverse(X_66),X_66),
inference(subst,[],[refute_0_258:[bind(X_23,$fot(X_66))]]) ).
cnf(refute_0_260,plain,
( multiply(inverse(X_39),X_39) != multiply(inverse(X_66),X_66)
| multiply(inverse(X_66),X_66) = multiply(inverse(X_39),X_39) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(multiply(inverse(X_39),X_39))),bind(Y,$fot(multiply(inverse(X_66),X_66)))]]) ).
cnf(refute_0_261,plain,
multiply(inverse(X_66),X_66) = multiply(inverse(X_39),X_39),
inference(resolve,[$cnf( $equal(multiply(inverse(X_39),X_39),multiply(inverse(X_66),X_66)) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
( multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_66),X_66))),X_65) != inverse(X_66)
| multiply(inverse(X_66),X_66) != multiply(inverse(X_39),X_39)
| multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65) = inverse(X_66) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_66),X_66))),X_65),inverse(X_66)) ),[0,0,1,1],$fot(multiply(inverse(X_39),X_39))]]) ).
cnf(refute_0_263,plain,
( multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_66),X_66))),X_65) != inverse(X_66)
| multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65) = inverse(X_66) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_66),X_66),multiply(inverse(X_39),X_39)) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65) = inverse(X_66),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_66),X_66))),X_65),inverse(X_66)) )],[refute_0_121,refute_0_263]) ).
cnf(refute_0_265,plain,
divide(B,B) = multiply(inverse(X_35),X_35),
inference(subst,[],[refute_0_145:[bind(A,$fot(B)),bind(X_23,$fot(X_35))]]) ).
cnf(refute_0_266,plain,
( divide(B,B) != multiply(inverse(X_35),X_35)
| divide(B,divide(B,divide(C,divide(B,B)))) != C
| divide(B,divide(B,divide(C,multiply(inverse(X_35),X_35)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(B,divide(B,divide(C,divide(B,B)))),C) ),[0,1,1,1],$fot(multiply(inverse(X_35),X_35))]]) ).
cnf(refute_0_267,plain,
( divide(B,divide(B,divide(C,divide(B,B)))) != C
| divide(B,divide(B,divide(C,multiply(inverse(X_35),X_35)))) = C ),
inference(resolve,[$cnf( $equal(divide(B,B),multiply(inverse(X_35),X_35)) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
divide(B,divide(B,divide(C,multiply(inverse(X_35),X_35)))) = C,
inference(resolve,[$cnf( $equal(divide(B,divide(B,divide(C,divide(B,B)))),C) )],[refute_0_192,refute_0_267]) ).
cnf(refute_0_269,plain,
divide(B,divide(B,divide(C,multiply(inverse(X_35),X_35)))) = divide(C,multiply(inverse(X_35),X_35)),
inference(subst,[],[refute_0_235:[bind(C,$fot(divide(C,multiply(inverse(X_35),X_35))))]]) ).
cnf(refute_0_270,plain,
( divide(B,divide(B,divide(C,multiply(inverse(X_35),X_35)))) != C
| divide(B,divide(B,divide(C,multiply(inverse(X_35),X_35)))) != divide(C,multiply(inverse(X_35),X_35))
| divide(C,multiply(inverse(X_35),X_35)) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(B,divide(B,divide(C,multiply(inverse(X_35),X_35)))),C) ),[0],$fot(divide(C,multiply(inverse(X_35),X_35)))]]) ).
cnf(refute_0_271,plain,
( divide(B,divide(B,divide(C,multiply(inverse(X_35),X_35)))) != C
| divide(C,multiply(inverse(X_35),X_35)) = C ),
inference(resolve,[$cnf( $equal(divide(B,divide(B,divide(C,multiply(inverse(X_35),X_35)))),divide(C,multiply(inverse(X_35),X_35))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
divide(C,multiply(inverse(X_35),X_35)) = C,
inference(resolve,[$cnf( $equal(divide(B,divide(B,divide(C,multiply(inverse(X_35),X_35)))),C) )],[refute_0_268,refute_0_271]) ).
cnf(refute_0_273,plain,
divide(X_65,multiply(inverse(X_39),X_39)) = X_65,
inference(subst,[],[refute_0_272:[bind(C,$fot(X_65)),bind(X_35,$fot(X_39))]]) ).
cnf(refute_0_274,plain,
divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))) = divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),
introduced(tautology,[refl,[$fot(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))))]]) ).
cnf(refute_0_275,plain,
( divide(X_65,multiply(inverse(X_39),X_39)) != X_65
| divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))) != divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39)))
| divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))) = divide(inverse(X_66),X_65) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39)))) ),[1,1],$fot(X_65)]]) ).
cnf(refute_0_276,plain,
( divide(X_65,multiply(inverse(X_39),X_39)) != X_65
| divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))) = divide(inverse(X_66),X_65) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39)))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))) = divide(inverse(X_66),X_65),
inference(resolve,[$cnf( $equal(divide(X_65,multiply(inverse(X_39),X_39)),X_65) )],[refute_0_273,refute_0_276]) ).
cnf(refute_0_278,plain,
multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65) = multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65),
introduced(tautology,[refl,[$fot(multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65))]]) ).
cnf(refute_0_279,plain,
( multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65) != multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65)
| divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))) != divide(inverse(X_66),X_65)
| multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65) = multiply(divide(inverse(X_66),X_65),X_65) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65),multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65)) ),[1,0],$fot(divide(inverse(X_66),X_65))]]) ).
cnf(refute_0_280,plain,
( divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))) != divide(inverse(X_66),X_65)
| multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65) = multiply(divide(inverse(X_66),X_65),X_65) ),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65),multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65)) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65) = multiply(divide(inverse(X_66),X_65),X_65),
inference(resolve,[$cnf( $equal(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),divide(inverse(X_66),X_65)) )],[refute_0_277,refute_0_280]) ).
cnf(refute_0_282,plain,
( multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65) != multiply(divide(inverse(X_66),X_65),X_65)
| multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65) != inverse(X_66)
| multiply(divide(inverse(X_66),X_65),X_65) = inverse(X_66) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65),inverse(X_66)) ),[0],$fot(multiply(divide(inverse(X_66),X_65),X_65))]]) ).
cnf(refute_0_283,plain,
( multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65) != inverse(X_66)
| multiply(divide(inverse(X_66),X_65),X_65) = inverse(X_66) ),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65),multiply(divide(inverse(X_66),X_65),X_65)) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
multiply(divide(inverse(X_66),X_65),X_65) = inverse(X_66),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(X_66),divide(X_65,multiply(inverse(X_39),X_39))),X_65),inverse(X_66)) )],[refute_0_264,refute_0_283]) ).
cnf(refute_0_285,plain,
multiply(divide(inverse(inverse(X_16)),X_67),X_67) = inverse(inverse(X_16)),
inference(subst,[],[refute_0_284:[bind(X_65,$fot(X_67)),bind(X_66,$fot(inverse(X_16)))]]) ).
cnf(refute_0_286,plain,
( multiply(divide(inverse(inverse(X_16)),X_67),X_67) != inverse(inverse(X_16))
| inverse(inverse(X_16)) != X_16
| multiply(divide(X_16,X_67),X_67) = inverse(inverse(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(inverse(X_16)),X_67),X_67),inverse(inverse(X_16))) ),[0,0,0],$fot(X_16)]]) ).
cnf(refute_0_287,plain,
( multiply(divide(inverse(inverse(X_16)),X_67),X_67) != inverse(inverse(X_16))
| multiply(divide(X_16,X_67),X_67) = inverse(inverse(X_16)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_16)),X_16) )],[refute_0_254,refute_0_286]) ).
cnf(refute_0_288,plain,
multiply(divide(X_16,X_67),X_67) = inverse(inverse(X_16)),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(inverse(X_16)),X_67),X_67),inverse(inverse(X_16))) )],[refute_0_285,refute_0_287]) ).
cnf(refute_0_289,plain,
( multiply(divide(X_16,X_67),X_67) != inverse(inverse(X_16))
| inverse(inverse(X_16)) != X_16
| multiply(divide(X_16,X_67),X_67) = X_16 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(divide(X_16,X_67),X_67),X_16) ),[0],$fot(inverse(inverse(X_16)))]]) ).
cnf(refute_0_290,plain,
( multiply(divide(X_16,X_67),X_67) != inverse(inverse(X_16))
| multiply(divide(X_16,X_67),X_67) = X_16 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_16)),X_16) )],[refute_0_254,refute_0_289]) ).
cnf(refute_0_291,plain,
multiply(divide(X_16,X_67),X_67) = X_16,
inference(resolve,[$cnf( $equal(multiply(divide(X_16,X_67),X_67),inverse(inverse(X_16))) )],[refute_0_288,refute_0_290]) ).
cnf(refute_0_292,plain,
multiply(divide(multiply(X_67,X_77),X_67),X_67) = multiply(X_67,X_77),
inference(subst,[],[refute_0_291:[bind(X_16,$fot(multiply(X_67,X_77)))]]) ).
cnf(refute_0_293,plain,
multiply(multiply(X_72,C),divide(C,multiply(X_72,C))) = C,
inference(subst,[],[refute_0_108:[bind(A,$fot(multiply(X_72,C)))]]) ).
cnf(refute_0_294,plain,
inverse(inverse(divide(X_5,multiply(X_6,X_5)))) = divide(X_5,multiply(X_6,X_5)),
inference(subst,[],[refute_0_254:[bind(X_16,$fot(divide(X_5,multiply(X_6,X_5))))]]) ).
cnf(refute_0_295,plain,
( inverse(divide(X_5,multiply(X_6,X_5))) != X_6
| inverse(inverse(divide(X_5,multiply(X_6,X_5)))) != divide(X_5,multiply(X_6,X_5))
| inverse(X_6) = divide(X_5,multiply(X_6,X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(X_5,multiply(X_6,X_5)))),divide(X_5,multiply(X_6,X_5))) ),[0,0],$fot(X_6)]]) ).
cnf(refute_0_296,plain,
( inverse(inverse(divide(X_5,multiply(X_6,X_5)))) != divide(X_5,multiply(X_6,X_5))
| inverse(X_6) = divide(X_5,multiply(X_6,X_5)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_5,multiply(X_6,X_5))),X_6) )],[refute_0_184,refute_0_295]) ).
cnf(refute_0_297,plain,
inverse(X_6) = divide(X_5,multiply(X_6,X_5)),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_5,multiply(X_6,X_5)))),divide(X_5,multiply(X_6,X_5))) )],[refute_0_294,refute_0_296]) ).
cnf(refute_0_298,plain,
inverse(X_72) = divide(C,multiply(X_72,C)),
inference(subst,[],[refute_0_297:[bind(X_5,$fot(C)),bind(X_6,$fot(X_72))]]) ).
cnf(refute_0_299,plain,
( inverse(X_72) != divide(C,multiply(X_72,C))
| divide(C,multiply(X_72,C)) = inverse(X_72) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(inverse(X_72))),bind(Y,$fot(divide(C,multiply(X_72,C))))]]) ).
cnf(refute_0_300,plain,
divide(C,multiply(X_72,C)) = inverse(X_72),
inference(resolve,[$cnf( $equal(inverse(X_72),divide(C,multiply(X_72,C))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
( multiply(multiply(X_72,C),divide(C,multiply(X_72,C))) != C
| divide(C,multiply(X_72,C)) != inverse(X_72)
| multiply(multiply(X_72,C),inverse(X_72)) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_72,C),divide(C,multiply(X_72,C))),C) ),[0,1],$fot(inverse(X_72))]]) ).
cnf(refute_0_302,plain,
( multiply(multiply(X_72,C),divide(C,multiply(X_72,C))) != C
| multiply(multiply(X_72,C),inverse(X_72)) = C ),
inference(resolve,[$cnf( $equal(divide(C,multiply(X_72,C)),inverse(X_72)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
multiply(multiply(X_72,C),inverse(X_72)) = C,
inference(resolve,[$cnf( $equal(multiply(multiply(X_72,C),divide(C,multiply(X_72,C))),C) )],[refute_0_293,refute_0_302]) ).
cnf(refute_0_304,plain,
multiply(X_18,inverse(X_16)) = divide(X_18,inverse(inverse(X_16))),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_18)),bind(B,$fot(inverse(X_16)))]]) ).
cnf(refute_0_305,plain,
( multiply(X_18,inverse(X_16)) != divide(X_18,inverse(inverse(X_16)))
| inverse(inverse(X_16)) != X_16
| multiply(X_18,inverse(X_16)) = divide(X_18,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_18,inverse(X_16)),divide(X_18,inverse(inverse(X_16)))) ),[1,1],$fot(X_16)]]) ).
cnf(refute_0_306,plain,
( multiply(X_18,inverse(X_16)) != divide(X_18,inverse(inverse(X_16)))
| multiply(X_18,inverse(X_16)) = divide(X_18,X_16) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_16)),X_16) )],[refute_0_254,refute_0_305]) ).
cnf(refute_0_307,plain,
multiply(X_18,inverse(X_16)) = divide(X_18,X_16),
inference(resolve,[$cnf( $equal(multiply(X_18,inverse(X_16)),divide(X_18,inverse(inverse(X_16)))) )],[refute_0_304,refute_0_306]) ).
cnf(refute_0_308,plain,
multiply(multiply(X_72,C),inverse(X_72)) = divide(multiply(X_72,C),X_72),
inference(subst,[],[refute_0_307:[bind(X_16,$fot(X_72)),bind(X_18,$fot(multiply(X_72,C)))]]) ).
cnf(refute_0_309,plain,
( multiply(multiply(X_72,C),inverse(X_72)) != C
| multiply(multiply(X_72,C),inverse(X_72)) != divide(multiply(X_72,C),X_72)
| divide(multiply(X_72,C),X_72) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_72,C),inverse(X_72)),C) ),[0],$fot(divide(multiply(X_72,C),X_72))]]) ).
cnf(refute_0_310,plain,
( multiply(multiply(X_72,C),inverse(X_72)) != C
| divide(multiply(X_72,C),X_72) = C ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_72,C),inverse(X_72)),divide(multiply(X_72,C),X_72)) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
divide(multiply(X_72,C),X_72) = C,
inference(resolve,[$cnf( $equal(multiply(multiply(X_72,C),inverse(X_72)),C) )],[refute_0_303,refute_0_310]) ).
cnf(refute_0_312,plain,
divide(multiply(X_67,X_77),X_67) = X_77,
inference(subst,[],[refute_0_311:[bind(C,$fot(X_77)),bind(X_72,$fot(X_67))]]) ).
cnf(refute_0_313,plain,
( multiply(divide(multiply(X_67,X_77),X_67),X_67) != multiply(X_67,X_77)
| divide(multiply(X_67,X_77),X_67) != X_77
| multiply(X_77,X_67) = multiply(X_67,X_77) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(multiply(X_67,X_77),X_67),X_67),multiply(X_67,X_77)) ),[0,0],$fot(X_77)]]) ).
cnf(refute_0_314,plain,
( multiply(divide(multiply(X_67,X_77),X_67),X_67) != multiply(X_67,X_77)
| multiply(X_77,X_67) = multiply(X_67,X_77) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_67,X_77),X_67),X_77) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
multiply(X_77,X_67) = multiply(X_67,X_77),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(X_67,X_77),X_67),X_67),multiply(X_67,X_77)) )],[refute_0_292,refute_0_314]) ).
cnf(refute_0_316,plain,
( multiply(X_77,X_67) != multiply(X_67,X_77)
| multiply(X_67,X_77) = multiply(X_77,X_67) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(multiply(X_77,X_67))),bind(Y,$fot(multiply(X_67,X_77)))]]) ).
cnf(refute_0_317,plain,
multiply(X_67,X_77) = multiply(X_77,X_67),
inference(resolve,[$cnf( $equal(multiply(X_77,X_67),multiply(X_67,X_77)) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
multiply(b,a) = multiply(a,b),
inference(subst,[],[refute_0_317:[bind(X_67,$fot(b)),bind(X_77,$fot(a))]]) ).
cnf(refute_0_319,plain,
( multiply(a,b) != multiply(a,b)
| multiply(b,a) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,b),multiply(b,a)) ),[1],$fot(multiply(a,b))]]) ).
cnf(refute_0_320,plain,
( multiply(a,b) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(b,a),multiply(a,b)) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
multiply(a,b) != multiply(a,b),
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(b,a)) )],[refute_0_320,prove_these_axioms_4]) ).
cnf(refute_0_322,plain,
multiply(a,b) = multiply(a,b),
introduced(tautology,[refl,[$fot(multiply(a,b))]]) ).
cnf(refute_0_323,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(a,b)) )],[refute_0_322,refute_0_321]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP524-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 11:01:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.62/0.77 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.77
% 0.62/0.77 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.62/0.82
%------------------------------------------------------------------------------