TSTP Solution File: GRP531-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP531-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 10:42:10 EDT 2022
% Result : Unsatisfiable 0.21s 0.54s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 59
% Syntax : Number of clauses : 242 ( 131 unt; 0 nHn; 111 RR)
% Number of literals : 402 ( 401 equ; 163 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 534 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(A,divide(B,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_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
cnf(refute_0_0,plain,
divide(divide(divide(B,B),divide(X_5,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,$fot(X_6))]]) ).
cnf(refute_0_1,plain,
inverse(X_5) = divide(divide(B,B),X_5),
inference(subst,[],[inverse:[bind(A,$fot(X_5))]]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( inverse(X_5) != divide(divide(B,B),X_5)
| divide(divide(B,B),X_5) = inverse(X_5) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_5))),bind(Y,$fot(divide(divide(B,B),X_5)))]]) ).
cnf(refute_0_6,plain,
divide(divide(B,B),X_5) = inverse(X_5),
inference(resolve,[$cnf( $equal(inverse(X_5),divide(divide(B,B),X_5)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
( divide(divide(B,B),X_5) != inverse(X_5)
| divide(divide(divide(B,B),divide(X_5,X_6)),divide(divide(B,B),X_5)) != X_6
| divide(divide(divide(B,B),divide(X_5,X_6)),inverse(X_5)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(B,B),divide(X_5,X_6)),divide(divide(B,B),X_5)),X_6) ),[0,1],$fot(inverse(X_5))]]) ).
cnf(refute_0_8,plain,
( divide(divide(divide(B,B),divide(X_5,X_6)),divide(divide(B,B),X_5)) != X_6
| divide(divide(divide(B,B),divide(X_5,X_6)),inverse(X_5)) = X_6 ),
inference(resolve,[$cnf( $equal(divide(divide(B,B),X_5),inverse(X_5)) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
divide(divide(divide(B,B),divide(X_5,X_6)),inverse(X_5)) = X_6,
inference(resolve,[$cnf( $equal(divide(divide(divide(B,B),divide(X_5,X_6)),divide(divide(B,B),X_5)),X_6) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
( inverse(A) != divide(divide(B,B),A)
| divide(divide(B,B),A) = inverse(A) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(A))),bind(Y,$fot(divide(divide(B,B),A)))]]) ).
cnf(refute_0_11,plain,
divide(divide(B,B),A) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(B,B),A)) )],[inverse,refute_0_10]) ).
cnf(refute_0_12,plain,
divide(divide(B,B),divide(X_5,X_6)) = inverse(divide(X_5,X_6)),
inference(subst,[],[refute_0_11:[bind(A,$fot(divide(X_5,X_6)))]]) ).
cnf(refute_0_13,plain,
multiply(divide(divide(B,B),divide(X_5,X_6)),X_5) = multiply(divide(divide(B,B),divide(X_5,X_6)),X_5),
introduced(tautology,[refl,[$fot(multiply(divide(divide(B,B),divide(X_5,X_6)),X_5))]]) ).
cnf(refute_0_14,plain,
( multiply(divide(divide(B,B),divide(X_5,X_6)),X_5) != multiply(divide(divide(B,B),divide(X_5,X_6)),X_5)
| divide(divide(B,B),divide(X_5,X_6)) != inverse(divide(X_5,X_6))
| multiply(divide(divide(B,B),divide(X_5,X_6)),X_5) = multiply(inverse(divide(X_5,X_6)),X_5) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(divide(B,B),divide(X_5,X_6)),X_5),multiply(divide(divide(B,B),divide(X_5,X_6)),X_5)) ),[1,0],$fot(inverse(divide(X_5,X_6)))]]) ).
cnf(refute_0_15,plain,
( divide(divide(B,B),divide(X_5,X_6)) != inverse(divide(X_5,X_6))
| multiply(divide(divide(B,B),divide(X_5,X_6)),X_5) = multiply(inverse(divide(X_5,X_6)),X_5) ),
inference(resolve,[$cnf( $equal(multiply(divide(divide(B,B),divide(X_5,X_6)),X_5),multiply(divide(divide(B,B),divide(X_5,X_6)),X_5)) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
multiply(divide(divide(B,B),divide(X_5,X_6)),X_5) = multiply(inverse(divide(X_5,X_6)),X_5),
inference(resolve,[$cnf( $equal(divide(divide(B,B),divide(X_5,X_6)),inverse(divide(X_5,X_6))) )],[refute_0_12,refute_0_15]) ).
cnf(refute_0_17,plain,
divide(divide(C,C),B) = inverse(B),
inference(subst,[],[refute_0_11:[bind(A,$fot(B)),bind(B,$fot(C))]]) ).
cnf(refute_0_18,plain,
divide(A,divide(divide(C,C),B)) = divide(A,divide(divide(C,C),B)),
introduced(tautology,[refl,[$fot(divide(A,divide(divide(C,C),B)))]]) ).
cnf(refute_0_19,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_20,plain,
( divide(divide(C,C),B) != inverse(B)
| divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,divide(divide(C,C),B))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(divide(divide(C,C),B),inverse(B)) )],[refute_0_17,refute_0_20]) ).
cnf(refute_0_22,plain,
( multiply(A,B) != divide(A,divide(divide(C,C),B))
| divide(A,divide(divide(C,C),B)) != divide(A,inverse(B))
| multiply(A,B) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),divide(A,inverse(B))) ),[0],$fot(divide(A,divide(divide(C,C),B)))]]) ).
cnf(refute_0_23,plain,
( multiply(A,B) != divide(A,divide(divide(C,C),B))
| multiply(A,B) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,inverse(B))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
multiply(A,B) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,divide(divide(C,C),B))) )],[multiply,refute_0_23]) ).
cnf(refute_0_25,plain,
( multiply(A,B) != divide(A,inverse(B))
| divide(A,inverse(B)) = multiply(A,B) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(divide(A,inverse(B))))]]) ).
cnf(refute_0_26,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,inverse(B))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
divide(divide(divide(B,B),divide(X_5,X_6)),inverse(X_5)) = multiply(divide(divide(B,B),divide(X_5,X_6)),X_5),
inference(subst,[],[refute_0_26:[bind(A,$fot(divide(divide(B,B),divide(X_5,X_6)))),bind(B,$fot(X_5))]]) ).
cnf(refute_0_28,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_29,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_28]) ).
cnf(refute_0_30,plain,
( multiply(divide(divide(B,B),divide(X_5,X_6)),X_5) != multiply(inverse(divide(X_5,X_6)),X_5)
| divide(divide(divide(B,B),divide(X_5,X_6)),inverse(X_5)) != multiply(divide(divide(B,B),divide(X_5,X_6)),X_5)
| divide(divide(divide(B,B),divide(X_5,X_6)),inverse(X_5)) = multiply(inverse(divide(X_5,X_6)),X_5) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(divide(divide(divide(B,B),divide(X_5,X_6)),inverse(X_5)))),bind(Y,$fot(multiply(divide(divide(B,B),divide(X_5,X_6)),X_5))),bind(Z,$fot(multiply(inverse(divide(X_5,X_6)),X_5)))]]) ).
cnf(refute_0_31,plain,
( multiply(divide(divide(B,B),divide(X_5,X_6)),X_5) != multiply(inverse(divide(X_5,X_6)),X_5)
| divide(divide(divide(B,B),divide(X_5,X_6)),inverse(X_5)) = multiply(inverse(divide(X_5,X_6)),X_5) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(B,B),divide(X_5,X_6)),inverse(X_5)),multiply(divide(divide(B,B),divide(X_5,X_6)),X_5)) )],[refute_0_27,refute_0_30]) ).
cnf(refute_0_32,plain,
divide(divide(divide(B,B),divide(X_5,X_6)),inverse(X_5)) = multiply(inverse(divide(X_5,X_6)),X_5),
inference(resolve,[$cnf( $equal(multiply(divide(divide(B,B),divide(X_5,X_6)),X_5),multiply(inverse(divide(X_5,X_6)),X_5)) )],[refute_0_16,refute_0_31]) ).
cnf(refute_0_33,plain,
( divide(divide(divide(B,B),divide(X_5,X_6)),inverse(X_5)) != X_6
| divide(divide(divide(B,B),divide(X_5,X_6)),inverse(X_5)) != multiply(inverse(divide(X_5,X_6)),X_5)
| multiply(inverse(divide(X_5,X_6)),X_5) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(B,B),divide(X_5,X_6)),inverse(X_5)),X_6) ),[0],$fot(multiply(inverse(divide(X_5,X_6)),X_5))]]) ).
cnf(refute_0_34,plain,
( divide(divide(divide(B,B),divide(X_5,X_6)),inverse(X_5)) != X_6
| multiply(inverse(divide(X_5,X_6)),X_5) = X_6 ),
inference(resolve,[$cnf( $equal(divide(divide(divide(B,B),divide(X_5,X_6)),inverse(X_5)),multiply(inverse(divide(X_5,X_6)),X_5)) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
multiply(inverse(divide(X_5,X_6)),X_5) = X_6,
inference(resolve,[$cnf( $equal(divide(divide(divide(B,B),divide(X_5,X_6)),inverse(X_5)),X_6) )],[refute_0_9,refute_0_34]) ).
cnf(refute_0_36,plain,
multiply(inverse(divide(multiply(inverse(X_12),X_12),X_6)),multiply(inverse(X_12),X_12)) = X_6,
inference(subst,[],[refute_0_35:[bind(X_5,$fot(multiply(inverse(X_12),X_12)))]]) ).
cnf(refute_0_37,plain,
inverse(A) = divide(divide(inverse(X_8),inverse(X_8)),A),
inference(subst,[],[inverse:[bind(B,$fot(inverse(X_8)))]]) ).
cnf(refute_0_38,plain,
multiply(inverse(X_8),X_8) = divide(inverse(X_8),inverse(X_8)),
inference(subst,[],[refute_0_24:[bind(A,$fot(inverse(X_8))),bind(B,$fot(X_8))]]) ).
cnf(refute_0_39,plain,
( multiply(inverse(X_8),X_8) != divide(inverse(X_8),inverse(X_8))
| divide(inverse(X_8),inverse(X_8)) = multiply(inverse(X_8),X_8) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(inverse(X_8),X_8))),bind(Y,$fot(divide(inverse(X_8),inverse(X_8))))]]) ).
cnf(refute_0_40,plain,
divide(inverse(X_8),inverse(X_8)) = multiply(inverse(X_8),X_8),
inference(resolve,[$cnf( $equal(multiply(inverse(X_8),X_8),divide(inverse(X_8),inverse(X_8))) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( divide(inverse(X_8),inverse(X_8)) != multiply(inverse(X_8),X_8)
| inverse(A) != divide(divide(inverse(X_8),inverse(X_8)),A)
| inverse(A) = divide(multiply(inverse(X_8),X_8),A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(divide(inverse(X_8),inverse(X_8)),A)) ),[1,0],$fot(multiply(inverse(X_8),X_8))]]) ).
cnf(refute_0_42,plain,
( inverse(A) != divide(divide(inverse(X_8),inverse(X_8)),A)
| inverse(A) = divide(multiply(inverse(X_8),X_8),A) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_8),inverse(X_8)),multiply(inverse(X_8),X_8)) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
inverse(A) = divide(multiply(inverse(X_8),X_8),A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(inverse(X_8),inverse(X_8)),A)) )],[refute_0_37,refute_0_42]) ).
cnf(refute_0_44,plain,
inverse(X_6) = divide(multiply(inverse(X_12),X_12),X_6),
inference(subst,[],[refute_0_43:[bind(A,$fot(X_6)),bind(X_8,$fot(X_12))]]) ).
cnf(refute_0_45,plain,
( inverse(X_6) != divide(multiply(inverse(X_12),X_12),X_6)
| divide(multiply(inverse(X_12),X_12),X_6) = inverse(X_6) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_6))),bind(Y,$fot(divide(multiply(inverse(X_12),X_12),X_6)))]]) ).
cnf(refute_0_46,plain,
divide(multiply(inverse(X_12),X_12),X_6) = inverse(X_6),
inference(resolve,[$cnf( $equal(inverse(X_6),divide(multiply(inverse(X_12),X_12),X_6)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( multiply(inverse(divide(multiply(inverse(X_12),X_12),X_6)),multiply(inverse(X_12),X_12)) != X_6
| divide(multiply(inverse(X_12),X_12),X_6) != inverse(X_6)
| multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(multiply(inverse(X_12),X_12),X_6)),multiply(inverse(X_12),X_12)),X_6) ),[0,0,0],$fot(inverse(X_6))]]) ).
cnf(refute_0_48,plain,
( multiply(inverse(divide(multiply(inverse(X_12),X_12),X_6)),multiply(inverse(X_12),X_12)) != X_6
| multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12)) = X_6 ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_12),X_12),X_6),inverse(X_6)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12)) = X_6,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(multiply(inverse(X_12),X_12),X_6)),multiply(inverse(X_12),X_12)),X_6) )],[refute_0_36,refute_0_48]) ).
cnf(refute_0_50,plain,
multiply(inverse(divide(X_6,X_6)),X_6) = X_6,
inference(subst,[],[refute_0_35:[bind(X_5,$fot(X_6))]]) ).
cnf(refute_0_51,plain,
inverse(A) = divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A),
inference(subst,[],[inverse:[bind(B,$fot(divide(X_1,X_1)))]]) ).
cnf(refute_0_52,plain,
inverse(divide(X_1,X_1)) = divide(divide(X_1,X_1),divide(X_1,X_1)),
inference(subst,[],[inverse:[bind(A,$fot(divide(X_1,X_1))),bind(B,$fot(X_1))]]) ).
cnf(refute_0_53,plain,
( inverse(divide(X_1,X_1)) != divide(divide(X_1,X_1),divide(X_1,X_1))
| divide(divide(X_1,X_1),divide(X_1,X_1)) = inverse(divide(X_1,X_1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(divide(X_1,X_1)))),bind(Y,$fot(divide(divide(X_1,X_1),divide(X_1,X_1))))]]) ).
cnf(refute_0_54,plain,
divide(divide(X_1,X_1),divide(X_1,X_1)) = inverse(divide(X_1,X_1)),
inference(resolve,[$cnf( $equal(inverse(divide(X_1,X_1)),divide(divide(X_1,X_1),divide(X_1,X_1))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
( divide(divide(X_1,X_1),divide(X_1,X_1)) != inverse(divide(X_1,X_1))
| inverse(A) != divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)
| inverse(A) = divide(inverse(divide(X_1,X_1)),A) ),
introduced(tautology,[equality,[$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_56,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( $equal(divide(divide(X_1,X_1),divide(X_1,X_1)),inverse(divide(X_1,X_1))) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
inverse(A) = divide(inverse(divide(X_1,X_1)),A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)) )],[refute_0_51,refute_0_56]) ).
cnf(refute_0_58,plain,
inverse(inverse(X_8)) = divide(inverse(divide(X_1,X_1)),inverse(X_8)),
inference(subst,[],[refute_0_57:[bind(A,$fot(inverse(X_8)))]]) ).
cnf(refute_0_59,plain,
multiply(inverse(divide(X_1,X_1)),X_8) = divide(inverse(divide(X_1,X_1)),inverse(X_8)),
inference(subst,[],[refute_0_24:[bind(A,$fot(inverse(divide(X_1,X_1)))),bind(B,$fot(X_8))]]) ).
cnf(refute_0_60,plain,
( multiply(inverse(divide(X_1,X_1)),X_8) != divide(inverse(divide(X_1,X_1)),inverse(X_8))
| divide(inverse(divide(X_1,X_1)),inverse(X_8)) = multiply(inverse(divide(X_1,X_1)),X_8) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(inverse(divide(X_1,X_1)),X_8))),bind(Y,$fot(divide(inverse(divide(X_1,X_1)),inverse(X_8))))]]) ).
cnf(refute_0_61,plain,
divide(inverse(divide(X_1,X_1)),inverse(X_8)) = multiply(inverse(divide(X_1,X_1)),X_8),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_1,X_1)),X_8),divide(inverse(divide(X_1,X_1)),inverse(X_8))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
( divide(inverse(divide(X_1,X_1)),inverse(X_8)) != multiply(inverse(divide(X_1,X_1)),X_8)
| inverse(inverse(X_8)) != divide(inverse(divide(X_1,X_1)),inverse(X_8))
| inverse(inverse(X_8)) = multiply(inverse(divide(X_1,X_1)),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_8)),divide(inverse(divide(X_1,X_1)),inverse(X_8))) ),[1],$fot(multiply(inverse(divide(X_1,X_1)),X_8))]]) ).
cnf(refute_0_63,plain,
( inverse(inverse(X_8)) != divide(inverse(divide(X_1,X_1)),inverse(X_8))
| inverse(inverse(X_8)) = multiply(inverse(divide(X_1,X_1)),X_8) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_1,X_1)),inverse(X_8)),multiply(inverse(divide(X_1,X_1)),X_8)) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
inverse(inverse(X_8)) = multiply(inverse(divide(X_1,X_1)),X_8),
inference(resolve,[$cnf( $equal(inverse(inverse(X_8)),divide(inverse(divide(X_1,X_1)),inverse(X_8))) )],[refute_0_58,refute_0_63]) ).
cnf(refute_0_65,plain,
inverse(inverse(X_6)) = multiply(inverse(divide(X_6,X_6)),X_6),
inference(subst,[],[refute_0_64:[bind(X_1,$fot(X_6)),bind(X_8,$fot(X_6))]]) ).
cnf(refute_0_66,plain,
( inverse(inverse(X_6)) != multiply(inverse(divide(X_6,X_6)),X_6)
| multiply(inverse(divide(X_6,X_6)),X_6) = inverse(inverse(X_6)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(inverse(X_6)))),bind(Y,$fot(multiply(inverse(divide(X_6,X_6)),X_6)))]]) ).
cnf(refute_0_67,plain,
multiply(inverse(divide(X_6,X_6)),X_6) = inverse(inverse(X_6)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_6)),multiply(inverse(divide(X_6,X_6)),X_6)) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
( multiply(inverse(divide(X_6,X_6)),X_6) != X_6
| multiply(inverse(divide(X_6,X_6)),X_6) != inverse(inverse(X_6))
| inverse(inverse(X_6)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_6,X_6)),X_6),X_6) ),[0],$fot(inverse(inverse(X_6)))]]) ).
cnf(refute_0_69,plain,
( multiply(inverse(divide(X_6,X_6)),X_6) != X_6
| inverse(inverse(X_6)) = X_6 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_6,X_6)),X_6),inverse(inverse(X_6))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
inverse(inverse(X_6)) = X_6,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_6,X_6)),X_6),X_6) )],[refute_0_50,refute_0_69]) ).
cnf(refute_0_71,plain,
multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12)) = multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12)))]]) ).
cnf(refute_0_72,plain,
( multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12)) != multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12))
| inverse(inverse(X_6)) != X_6
| multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12)) = multiply(X_6,multiply(inverse(X_12),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12)),multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12))) ),[1,0],$fot(X_6)]]) ).
cnf(refute_0_73,plain,
( inverse(inverse(X_6)) != X_6
| multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12)) = multiply(X_6,multiply(inverse(X_12),X_12)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12)),multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12)) = multiply(X_6,multiply(inverse(X_12),X_12)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_6)),X_6) )],[refute_0_70,refute_0_73]) ).
cnf(refute_0_75,plain,
( multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12)) != X_6
| multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12)) != multiply(X_6,multiply(inverse(X_12),X_12))
| multiply(X_6,multiply(inverse(X_12),X_12)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12)),X_6) ),[0],$fot(multiply(X_6,multiply(inverse(X_12),X_12)))]]) ).
cnf(refute_0_76,plain,
( multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12)) != X_6
| multiply(X_6,multiply(inverse(X_12),X_12)) = X_6 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12)),multiply(X_6,multiply(inverse(X_12),X_12))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
multiply(X_6,multiply(inverse(X_12),X_12)) = X_6,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_6)),multiply(inverse(X_12),X_12)),X_6) )],[refute_0_49,refute_0_76]) ).
cnf(refute_0_78,plain,
multiply(inverse(divide(divide(X_6,X_41),X_6)),divide(X_6,X_41)) = X_6,
inference(subst,[],[refute_0_35:[bind(X_5,$fot(divide(X_6,X_41)))]]) ).
cnf(refute_0_79,plain,
inverse(divide(divide(X_5,X_6),X_5)) = divide(divide(divide(X_5,X_6),divide(X_5,X_6)),divide(divide(X_5,X_6),X_5)),
inference(subst,[],[inverse:[bind(A,$fot(divide(divide(X_5,X_6),X_5))),bind(B,$fot(divide(X_5,X_6)))]]) ).
cnf(refute_0_80,plain,
divide(divide(divide(X_5,X_6),divide(X_5,X_6)),divide(divide(X_5,X_6),X_5)) = X_6,
inference(subst,[],[single_axiom:[bind(A,$fot(divide(X_5,X_6))),bind(B,$fot(X_5)),bind(C,$fot(X_6))]]) ).
cnf(refute_0_81,plain,
( divide(divide(divide(X_5,X_6),divide(X_5,X_6)),divide(divide(X_5,X_6),X_5)) != X_6
| inverse(divide(divide(X_5,X_6),X_5)) != divide(divide(divide(X_5,X_6),divide(X_5,X_6)),divide(divide(X_5,X_6),X_5))
| inverse(divide(divide(X_5,X_6),X_5)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_5,X_6),X_5)),divide(divide(divide(X_5,X_6),divide(X_5,X_6)),divide(divide(X_5,X_6),X_5))) ),[1],$fot(X_6)]]) ).
cnf(refute_0_82,plain,
( inverse(divide(divide(X_5,X_6),X_5)) != divide(divide(divide(X_5,X_6),divide(X_5,X_6)),divide(divide(X_5,X_6),X_5))
| inverse(divide(divide(X_5,X_6),X_5)) = X_6 ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_5,X_6),divide(X_5,X_6)),divide(divide(X_5,X_6),X_5)),X_6) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
inverse(divide(divide(X_5,X_6),X_5)) = X_6,
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_5,X_6),X_5)),divide(divide(divide(X_5,X_6),divide(X_5,X_6)),divide(divide(X_5,X_6),X_5))) )],[refute_0_79,refute_0_82]) ).
cnf(refute_0_84,plain,
inverse(divide(divide(X_6,X_41),X_6)) = X_41,
inference(subst,[],[refute_0_83:[bind(X_5,$fot(X_6)),bind(X_6,$fot(X_41))]]) ).
cnf(refute_0_85,plain,
( multiply(inverse(divide(divide(X_6,X_41),X_6)),divide(X_6,X_41)) != X_6
| inverse(divide(divide(X_6,X_41),X_6)) != X_41
| multiply(X_41,divide(X_6,X_41)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(divide(X_6,X_41),X_6)),divide(X_6,X_41)),X_6) ),[0,0],$fot(X_41)]]) ).
cnf(refute_0_86,plain,
( multiply(inverse(divide(divide(X_6,X_41),X_6)),divide(X_6,X_41)) != X_6
| multiply(X_41,divide(X_6,X_41)) = X_6 ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_6,X_41),X_6)),X_41) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
multiply(X_41,divide(X_6,X_41)) = X_6,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(X_6,X_41),X_6)),divide(X_6,X_41)),X_6) )],[refute_0_78,refute_0_86]) ).
cnf(refute_0_88,plain,
multiply(divide(A,B),divide(divide(A,divide(B,C)),divide(A,B))) = divide(A,divide(B,C)),
inference(subst,[],[refute_0_87:[bind(X_41,$fot(divide(A,B))),bind(X_6,$fot(divide(A,divide(B,C))))]]) ).
cnf(refute_0_89,plain,
( multiply(divide(A,B),divide(divide(A,divide(B,C)),divide(A,B))) != divide(A,divide(B,C))
| divide(divide(A,divide(B,C)),divide(A,B)) != C
| multiply(divide(A,B),C) = divide(A,divide(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(A,B),divide(divide(A,divide(B,C)),divide(A,B))),divide(A,divide(B,C))) ),[0,1],$fot(C)]]) ).
cnf(refute_0_90,plain,
( multiply(divide(A,B),divide(divide(A,divide(B,C)),divide(A,B))) != divide(A,divide(B,C))
| multiply(divide(A,B),C) = divide(A,divide(B,C)) ),
inference(resolve,[$cnf( $equal(divide(divide(A,divide(B,C)),divide(A,B)),C) )],[single_axiom,refute_0_89]) ).
cnf(refute_0_91,plain,
multiply(divide(A,B),C) = divide(A,divide(B,C)),
inference(resolve,[$cnf( $equal(multiply(divide(A,B),divide(divide(A,divide(B,C)),divide(A,B))),divide(A,divide(B,C))) )],[refute_0_88,refute_0_90]) ).
cnf(refute_0_92,plain,
( multiply(divide(A,B),C) != divide(A,divide(B,C))
| divide(A,divide(B,C)) = multiply(divide(A,B),C) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(divide(A,B),C))),bind(Y,$fot(divide(A,divide(B,C))))]]) ).
cnf(refute_0_93,plain,
divide(A,divide(B,C)) = multiply(divide(A,B),C),
inference(resolve,[$cnf( $equal(multiply(divide(A,B),C),divide(A,divide(B,C))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
divide(X_6,divide(X_12,X_12)) = multiply(divide(X_6,X_12),X_12),
inference(subst,[],[refute_0_93:[bind(A,$fot(X_6)),bind(B,$fot(X_12)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_95,plain,
multiply(A,inverse(X_17)) = divide(A,inverse(inverse(X_17))),
inference(subst,[],[refute_0_24:[bind(B,$fot(inverse(X_17)))]]) ).
cnf(refute_0_96,plain,
inverse(inverse(X_17)) = X_17,
inference(subst,[],[refute_0_70:[bind(X_6,$fot(X_17))]]) ).
cnf(refute_0_97,plain,
( multiply(A,inverse(X_17)) != divide(A,inverse(inverse(X_17)))
| inverse(inverse(X_17)) != X_17
| multiply(A,inverse(X_17)) = divide(A,X_17) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(X_17)),divide(A,inverse(inverse(X_17)))) ),[1,1],$fot(X_17)]]) ).
cnf(refute_0_98,plain,
( multiply(A,inverse(X_17)) != divide(A,inverse(inverse(X_17)))
| multiply(A,inverse(X_17)) = divide(A,X_17) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_17)),X_17) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
multiply(A,inverse(X_17)) = divide(A,X_17),
inference(resolve,[$cnf( $equal(multiply(A,inverse(X_17)),divide(A,inverse(inverse(X_17)))) )],[refute_0_95,refute_0_98]) ).
cnf(refute_0_100,plain,
multiply(X_6,inverse(divide(X_12,X_12))) = divide(X_6,divide(X_12,X_12)),
inference(subst,[],[refute_0_99:[bind(A,$fot(X_6)),bind(X_17,$fot(divide(X_12,X_12)))]]) ).
cnf(refute_0_101,plain,
( multiply(X_6,inverse(divide(X_12,X_12))) != divide(X_6,divide(X_12,X_12))
| divide(X_6,divide(X_12,X_12)) != multiply(divide(X_6,X_12),X_12)
| multiply(X_6,inverse(divide(X_12,X_12))) = multiply(divide(X_6,X_12),X_12) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(X_6,inverse(divide(X_12,X_12))))),bind(Y,$fot(divide(X_6,divide(X_12,X_12)))),bind(Z,$fot(multiply(divide(X_6,X_12),X_12)))]]) ).
cnf(refute_0_102,plain,
( divide(X_6,divide(X_12,X_12)) != multiply(divide(X_6,X_12),X_12)
| multiply(X_6,inverse(divide(X_12,X_12))) = multiply(divide(X_6,X_12),X_12) ),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(divide(X_12,X_12))),divide(X_6,divide(X_12,X_12))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(X_6,inverse(divide(X_12,X_12))) = multiply(divide(X_6,X_12),X_12),
inference(resolve,[$cnf( $equal(divide(X_6,divide(X_12,X_12)),multiply(divide(X_6,X_12),X_12)) )],[refute_0_94,refute_0_102]) ).
cnf(refute_0_104,plain,
multiply(inverse(divide(X_9,inverse(B))),X_9) = inverse(B),
inference(subst,[],[refute_0_35:[bind(X_5,$fot(X_9)),bind(X_6,$fot(inverse(B)))]]) ).
cnf(refute_0_105,plain,
multiply(X_9,B) = divide(X_9,inverse(B)),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_9))]]) ).
cnf(refute_0_106,plain,
( multiply(X_9,B) != divide(X_9,inverse(B))
| divide(X_9,inverse(B)) = multiply(X_9,B) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_9,B))),bind(Y,$fot(divide(X_9,inverse(B))))]]) ).
cnf(refute_0_107,plain,
divide(X_9,inverse(B)) = multiply(X_9,B),
inference(resolve,[$cnf( $equal(multiply(X_9,B),divide(X_9,inverse(B))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
( multiply(inverse(divide(X_9,inverse(B))),X_9) != inverse(B)
| divide(X_9,inverse(B)) != multiply(X_9,B)
| multiply(inverse(multiply(X_9,B)),X_9) = inverse(B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_9,inverse(B))),X_9),inverse(B)) ),[0,0,0],$fot(multiply(X_9,B))]]) ).
cnf(refute_0_109,plain,
( multiply(inverse(divide(X_9,inverse(B))),X_9) != inverse(B)
| multiply(inverse(multiply(X_9,B)),X_9) = inverse(B) ),
inference(resolve,[$cnf( $equal(divide(X_9,inverse(B)),multiply(X_9,B)) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
multiply(inverse(multiply(X_9,B)),X_9) = inverse(B),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_9,inverse(B))),X_9),inverse(B)) )],[refute_0_104,refute_0_109]) ).
cnf(refute_0_111,plain,
multiply(inverse(multiply(X_9,divide(X_43,X_9))),X_9) = inverse(divide(X_43,X_9)),
inference(subst,[],[refute_0_110:[bind(B,$fot(divide(X_43,X_9)))]]) ).
cnf(refute_0_112,plain,
multiply(X_9,divide(X_43,X_9)) = X_43,
inference(subst,[],[refute_0_87:[bind(X_41,$fot(X_9)),bind(X_6,$fot(X_43))]]) ).
cnf(refute_0_113,plain,
( multiply(X_9,divide(X_43,X_9)) != X_43
| multiply(inverse(multiply(X_9,divide(X_43,X_9))),X_9) != inverse(divide(X_43,X_9))
| multiply(inverse(X_43),X_9) = inverse(divide(X_43,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_9,divide(X_43,X_9))),X_9),inverse(divide(X_43,X_9))) ),[0,0,0],$fot(X_43)]]) ).
cnf(refute_0_114,plain,
( multiply(inverse(multiply(X_9,divide(X_43,X_9))),X_9) != inverse(divide(X_43,X_9))
| multiply(inverse(X_43),X_9) = inverse(divide(X_43,X_9)) ),
inference(resolve,[$cnf( $equal(multiply(X_9,divide(X_43,X_9)),X_43) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
multiply(inverse(X_43),X_9) = inverse(divide(X_43,X_9)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_9,divide(X_43,X_9))),X_9),inverse(divide(X_43,X_9))) )],[refute_0_111,refute_0_114]) ).
cnf(refute_0_116,plain,
multiply(inverse(X_12),X_12) = inverse(divide(X_12,X_12)),
inference(subst,[],[refute_0_115:[bind(X_43,$fot(X_12)),bind(X_9,$fot(X_12))]]) ).
cnf(refute_0_117,plain,
multiply(X_6,multiply(inverse(X_12),X_12)) = multiply(X_6,multiply(inverse(X_12),X_12)),
introduced(tautology,[refl,[$fot(multiply(X_6,multiply(inverse(X_12),X_12)))]]) ).
cnf(refute_0_118,plain,
( multiply(X_6,multiply(inverse(X_12),X_12)) != multiply(X_6,multiply(inverse(X_12),X_12))
| multiply(inverse(X_12),X_12) != inverse(divide(X_12,X_12))
| multiply(X_6,multiply(inverse(X_12),X_12)) = multiply(X_6,inverse(divide(X_12,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_6,multiply(inverse(X_12),X_12)),multiply(X_6,multiply(inverse(X_12),X_12))) ),[1,1],$fot(inverse(divide(X_12,X_12)))]]) ).
cnf(refute_0_119,plain,
( multiply(inverse(X_12),X_12) != inverse(divide(X_12,X_12))
| multiply(X_6,multiply(inverse(X_12),X_12)) = multiply(X_6,inverse(divide(X_12,X_12))) ),
inference(resolve,[$cnf( $equal(multiply(X_6,multiply(inverse(X_12),X_12)),multiply(X_6,multiply(inverse(X_12),X_12))) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
multiply(X_6,multiply(inverse(X_12),X_12)) = multiply(X_6,inverse(divide(X_12,X_12))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_12),X_12),inverse(divide(X_12,X_12))) )],[refute_0_116,refute_0_119]) ).
cnf(refute_0_121,plain,
( multiply(X_6,multiply(inverse(X_12),X_12)) != multiply(X_6,inverse(divide(X_12,X_12)))
| multiply(X_6,inverse(divide(X_12,X_12))) != multiply(divide(X_6,X_12),X_12)
| multiply(X_6,multiply(inverse(X_12),X_12)) = multiply(divide(X_6,X_12),X_12) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(X_6,multiply(inverse(X_12),X_12)))),bind(Y,$fot(multiply(X_6,inverse(divide(X_12,X_12))))),bind(Z,$fot(multiply(divide(X_6,X_12),X_12)))]]) ).
cnf(refute_0_122,plain,
( multiply(X_6,inverse(divide(X_12,X_12))) != multiply(divide(X_6,X_12),X_12)
| multiply(X_6,multiply(inverse(X_12),X_12)) = multiply(divide(X_6,X_12),X_12) ),
inference(resolve,[$cnf( $equal(multiply(X_6,multiply(inverse(X_12),X_12)),multiply(X_6,inverse(divide(X_12,X_12)))) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
multiply(X_6,multiply(inverse(X_12),X_12)) = multiply(divide(X_6,X_12),X_12),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(divide(X_12,X_12))),multiply(divide(X_6,X_12),X_12)) )],[refute_0_103,refute_0_122]) ).
cnf(refute_0_124,plain,
( multiply(X_6,multiply(inverse(X_12),X_12)) != X_6
| multiply(X_6,multiply(inverse(X_12),X_12)) != multiply(divide(X_6,X_12),X_12)
| multiply(divide(X_6,X_12),X_12) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_6,multiply(inverse(X_12),X_12)),X_6) ),[0],$fot(multiply(divide(X_6,X_12),X_12))]]) ).
cnf(refute_0_125,plain,
( multiply(X_6,multiply(inverse(X_12),X_12)) != X_6
| multiply(divide(X_6,X_12),X_12) = X_6 ),
inference(resolve,[$cnf( $equal(multiply(X_6,multiply(inverse(X_12),X_12)),multiply(divide(X_6,X_12),X_12)) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
multiply(divide(X_6,X_12),X_12) = X_6,
inference(resolve,[$cnf( $equal(multiply(X_6,multiply(inverse(X_12),X_12)),X_6) )],[refute_0_77,refute_0_125]) ).
cnf(refute_0_127,plain,
multiply(divide(multiply(X_61,X_6),X_61),X_61) = multiply(X_61,X_6),
inference(subst,[],[refute_0_126:[bind(X_12,$fot(X_61)),bind(X_6,$fot(multiply(X_61,X_6)))]]) ).
cnf(refute_0_128,plain,
divide(divide(X_4,divide(inverse(divide(X_1,X_1)),X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = X_6,
inference(subst,[],[single_axiom:[bind(A,$fot(X_4)),bind(B,$fot(inverse(divide(X_1,X_1)))),bind(C,$fot(X_6))]]) ).
cnf(refute_0_129,plain,
inverse(X_6) = divide(inverse(divide(X_1,X_1)),X_6),
inference(subst,[],[refute_0_57:[bind(A,$fot(X_6))]]) ).
cnf(refute_0_130,plain,
( inverse(X_6) != divide(inverse(divide(X_1,X_1)),X_6)
| divide(inverse(divide(X_1,X_1)),X_6) = inverse(X_6) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_6))),bind(Y,$fot(divide(inverse(divide(X_1,X_1)),X_6)))]]) ).
cnf(refute_0_131,plain,
divide(inverse(divide(X_1,X_1)),X_6) = inverse(X_6),
inference(resolve,[$cnf( $equal(inverse(X_6),divide(inverse(divide(X_1,X_1)),X_6)) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
( divide(divide(X_4,divide(inverse(divide(X_1,X_1)),X_6)),divide(X_4,inverse(divide(X_1,X_1)))) != X_6
| divide(inverse(divide(X_1,X_1)),X_6) != inverse(X_6)
| divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_4,divide(inverse(divide(X_1,X_1)),X_6)),divide(X_4,inverse(divide(X_1,X_1)))),X_6) ),[0,0,1],$fot(inverse(X_6))]]) ).
cnf(refute_0_133,plain,
( divide(divide(X_4,divide(inverse(divide(X_1,X_1)),X_6)),divide(X_4,inverse(divide(X_1,X_1)))) != X_6
| divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = X_6 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_1,X_1)),X_6),inverse(X_6)) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = X_6,
inference(resolve,[$cnf( $equal(divide(divide(X_4,divide(inverse(divide(X_1,X_1)),X_6)),divide(X_4,inverse(divide(X_1,X_1)))),X_6) )],[refute_0_128,refute_0_133]) ).
cnf(refute_0_135,plain,
divide(X_4,inverse(divide(X_1,X_1))) = multiply(X_4,divide(X_1,X_1)),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_4)),bind(B,$fot(divide(X_1,X_1)))]]) ).
cnf(refute_0_136,plain,
divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))) = divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))),
introduced(tautology,[refl,[$fot(divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))))]]) ).
cnf(refute_0_137,plain,
( divide(X_4,inverse(divide(X_1,X_1))) != multiply(X_4,divide(X_1,X_1))
| divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))) != divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1))))
| divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))) = divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))),divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1))))) ),[1,1],$fot(multiply(X_4,divide(X_1,X_1)))]]) ).
cnf(refute_0_138,plain,
( divide(X_4,inverse(divide(X_1,X_1))) != multiply(X_4,divide(X_1,X_1))
| divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))) = divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))),divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1))))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))) = divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))),
inference(resolve,[$cnf( $equal(divide(X_4,inverse(divide(X_1,X_1))),multiply(X_4,divide(X_1,X_1))) )],[refute_0_135,refute_0_138]) ).
cnf(refute_0_140,plain,
divide(X_4,inverse(X_6)) = multiply(X_4,X_6),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_4)),bind(B,$fot(X_6))]]) ).
cnf(refute_0_141,plain,
divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))),
introduced(tautology,[refl,[$fot(divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))))]]) ).
cnf(refute_0_142,plain,
( divide(X_4,inverse(X_6)) != multiply(X_4,X_6)
| divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) != divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1))))
| divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))),divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1))))) ),[1,0],$fot(multiply(X_4,X_6))]]) ).
cnf(refute_0_143,plain,
( divide(X_4,inverse(X_6)) != multiply(X_4,X_6)
| divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))) ),
inference(resolve,[$cnf( $equal(divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))),divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1))))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))),
inference(resolve,[$cnf( $equal(divide(X_4,inverse(X_6)),multiply(X_4,X_6)) )],[refute_0_140,refute_0_143]) ).
cnf(refute_0_145,plain,
( divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))) != divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1)))
| divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) != divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1))))
| divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))))),bind(Y,$fot(divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))))),bind(Z,$fot(divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1)))))]]) ).
cnf(refute_0_146,plain,
( divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))) != divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1)))
| divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) ),
inference(resolve,[$cnf( $equal(divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))),divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1))))) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) = divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))),
inference(resolve,[$cnf( $equal(divide(multiply(X_4,X_6),divide(X_4,inverse(divide(X_1,X_1)))),divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1)))) )],[refute_0_139,refute_0_146]) ).
cnf(refute_0_148,plain,
( divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) != X_6
| divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) != divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1)))
| divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))),X_6) ),[0],$fot(divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))))]]) ).
cnf(refute_0_149,plain,
( divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))) != X_6
| divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) = X_6 ),
inference(resolve,[$cnf( $equal(divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))),divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1)))) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) = X_6,
inference(resolve,[$cnf( $equal(divide(divide(X_4,inverse(X_6)),divide(X_4,inverse(divide(X_1,X_1)))),X_6) )],[refute_0_134,refute_0_149]) ).
cnf(refute_0_151,plain,
multiply(inverse(divide(divide(B,B),X_10)),divide(B,B)) = X_10,
inference(subst,[],[refute_0_35:[bind(X_5,$fot(divide(B,B))),bind(X_6,$fot(X_10))]]) ).
cnf(refute_0_152,plain,
inverse(X_10) = divide(divide(B,B),X_10),
inference(subst,[],[inverse:[bind(A,$fot(X_10))]]) ).
cnf(refute_0_153,plain,
( inverse(X_10) != divide(divide(B,B),X_10)
| divide(divide(B,B),X_10) = inverse(X_10) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_10))),bind(Y,$fot(divide(divide(B,B),X_10)))]]) ).
cnf(refute_0_154,plain,
divide(divide(B,B),X_10) = inverse(X_10),
inference(resolve,[$cnf( $equal(inverse(X_10),divide(divide(B,B),X_10)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
( multiply(inverse(divide(divide(B,B),X_10)),divide(B,B)) != X_10
| divide(divide(B,B),X_10) != inverse(X_10)
| multiply(inverse(inverse(X_10)),divide(B,B)) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(divide(B,B),X_10)),divide(B,B)),X_10) ),[0,0,0],$fot(inverse(X_10))]]) ).
cnf(refute_0_156,plain,
( multiply(inverse(divide(divide(B,B),X_10)),divide(B,B)) != X_10
| multiply(inverse(inverse(X_10)),divide(B,B)) = X_10 ),
inference(resolve,[$cnf( $equal(divide(divide(B,B),X_10),inverse(X_10)) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
multiply(inverse(inverse(X_10)),divide(B,B)) = X_10,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(B,B),X_10)),divide(B,B)),X_10) )],[refute_0_151,refute_0_156]) ).
cnf(refute_0_158,plain,
inverse(inverse(X_10)) = X_10,
inference(subst,[],[refute_0_70:[bind(X_6,$fot(X_10))]]) ).
cnf(refute_0_159,plain,
multiply(inverse(inverse(X_10)),divide(B,B)) = multiply(inverse(inverse(X_10)),divide(B,B)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_10)),divide(B,B)))]]) ).
cnf(refute_0_160,plain,
( multiply(inverse(inverse(X_10)),divide(B,B)) != multiply(inverse(inverse(X_10)),divide(B,B))
| inverse(inverse(X_10)) != X_10
| multiply(inverse(inverse(X_10)),divide(B,B)) = multiply(X_10,divide(B,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_10)),divide(B,B)),multiply(inverse(inverse(X_10)),divide(B,B))) ),[1,0],$fot(X_10)]]) ).
cnf(refute_0_161,plain,
( inverse(inverse(X_10)) != X_10
| multiply(inverse(inverse(X_10)),divide(B,B)) = multiply(X_10,divide(B,B)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),divide(B,B)),multiply(inverse(inverse(X_10)),divide(B,B))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
multiply(inverse(inverse(X_10)),divide(B,B)) = multiply(X_10,divide(B,B)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_158,refute_0_161]) ).
cnf(refute_0_163,plain,
( multiply(inverse(inverse(X_10)),divide(B,B)) != X_10
| multiply(inverse(inverse(X_10)),divide(B,B)) != multiply(X_10,divide(B,B))
| multiply(X_10,divide(B,B)) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_10)),divide(B,B)),X_10) ),[0],$fot(multiply(X_10,divide(B,B)))]]) ).
cnf(refute_0_164,plain,
( multiply(inverse(inverse(X_10)),divide(B,B)) != X_10
| multiply(X_10,divide(B,B)) = X_10 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),divide(B,B)),multiply(X_10,divide(B,B))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
multiply(X_10,divide(B,B)) = X_10,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),divide(B,B)),X_10) )],[refute_0_157,refute_0_164]) ).
cnf(refute_0_166,plain,
multiply(X_4,divide(X_1,X_1)) = X_4,
inference(subst,[],[refute_0_165:[bind(B,$fot(X_1)),bind(X_10,$fot(X_4))]]) ).
cnf(refute_0_167,plain,
divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) = divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))),
introduced(tautology,[refl,[$fot(divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))))]]) ).
cnf(refute_0_168,plain,
( multiply(X_4,divide(X_1,X_1)) != X_4
| divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) != divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1)))
| divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) = divide(multiply(X_4,X_6),X_4) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))),divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1)))) ),[1,1],$fot(X_4)]]) ).
cnf(refute_0_169,plain,
( multiply(X_4,divide(X_1,X_1)) != X_4
| divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) = divide(multiply(X_4,X_6),X_4) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))),divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1)))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) = divide(multiply(X_4,X_6),X_4),
inference(resolve,[$cnf( $equal(multiply(X_4,divide(X_1,X_1)),X_4) )],[refute_0_166,refute_0_169]) ).
cnf(refute_0_171,plain,
( divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) != X_6
| divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) != divide(multiply(X_4,X_6),X_4)
| divide(multiply(X_4,X_6),X_4) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))),X_6) ),[0],$fot(divide(multiply(X_4,X_6),X_4))]]) ).
cnf(refute_0_172,plain,
( divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))) != X_6
| divide(multiply(X_4,X_6),X_4) = X_6 ),
inference(resolve,[$cnf( $equal(divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))),divide(multiply(X_4,X_6),X_4)) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
divide(multiply(X_4,X_6),X_4) = X_6,
inference(resolve,[$cnf( $equal(divide(multiply(X_4,X_6),multiply(X_4,divide(X_1,X_1))),X_6) )],[refute_0_150,refute_0_172]) ).
cnf(refute_0_174,plain,
divide(multiply(X_61,X_6),X_61) = X_6,
inference(subst,[],[refute_0_173:[bind(X_4,$fot(X_61))]]) ).
cnf(refute_0_175,plain,
( multiply(divide(multiply(X_61,X_6),X_61),X_61) != multiply(X_61,X_6)
| divide(multiply(X_61,X_6),X_61) != X_6
| multiply(X_6,X_61) = multiply(X_61,X_6) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(multiply(X_61,X_6),X_61),X_61),multiply(X_61,X_6)) ),[0,0],$fot(X_6)]]) ).
cnf(refute_0_176,plain,
( multiply(divide(multiply(X_61,X_6),X_61),X_61) != multiply(X_61,X_6)
| multiply(X_6,X_61) = multiply(X_61,X_6) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_61,X_6),X_61),X_6) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
multiply(X_6,X_61) = multiply(X_61,X_6),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(X_61,X_6),X_61),X_61),multiply(X_61,X_6)) )],[refute_0_127,refute_0_176]) ).
cnf(refute_0_178,plain,
( multiply(X_6,X_61) != multiply(X_61,X_6)
| multiply(X_61,X_6) = multiply(X_6,X_61) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_6,X_61))),bind(Y,$fot(multiply(X_61,X_6)))]]) ).
cnf(refute_0_179,plain,
multiply(X_61,X_6) = multiply(X_6,X_61),
inference(resolve,[$cnf( $equal(multiply(X_6,X_61),multiply(X_61,X_6)) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_179:[bind(X_6,$fot(c3)),bind(X_61,$fot(multiply(a3,b3)))]]) ).
cnf(refute_0_181,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).
cnf(refute_0_182,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_182,prove_these_axioms_3]) ).
cnf(refute_0_184,plain,
divide(divide(divide(B,divide(C,X_6)),divide(B,C)),divide(divide(B,divide(C,X_6)),B)) = C,
inference(subst,[],[single_axiom:[bind(A,$fot(divide(B,divide(C,X_6))))]]) ).
cnf(refute_0_185,plain,
divide(divide(B,divide(C,X_6)),divide(B,C)) = X_6,
inference(subst,[],[single_axiom:[bind(A,$fot(B)),bind(B,$fot(C)),bind(C,$fot(X_6))]]) ).
cnf(refute_0_186,plain,
( divide(divide(B,divide(C,X_6)),divide(B,C)) != X_6
| divide(divide(divide(B,divide(C,X_6)),divide(B,C)),divide(divide(B,divide(C,X_6)),B)) != C
| divide(X_6,divide(divide(B,divide(C,X_6)),B)) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(B,divide(C,X_6)),divide(B,C)),divide(divide(B,divide(C,X_6)),B)),C) ),[0,0],$fot(X_6)]]) ).
cnf(refute_0_187,plain,
( divide(divide(divide(B,divide(C,X_6)),divide(B,C)),divide(divide(B,divide(C,X_6)),B)) != C
| divide(X_6,divide(divide(B,divide(C,X_6)),B)) = C ),
inference(resolve,[$cnf( $equal(divide(divide(B,divide(C,X_6)),divide(B,C)),X_6) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
divide(X_6,divide(divide(B,divide(C,X_6)),B)) = C,
inference(resolve,[$cnf( $equal(divide(divide(divide(B,divide(C,X_6)),divide(B,C)),divide(divide(B,divide(C,X_6)),B)),C) )],[refute_0_184,refute_0_187]) ).
cnf(refute_0_189,plain,
divide(X_6,divide(B,divide(C,X_6))) = multiply(divide(X_6,B),divide(C,X_6)),
inference(subst,[],[refute_0_93:[bind(A,$fot(X_6)),bind(C,$fot(divide(C,X_6)))]]) ).
cnf(refute_0_190,plain,
multiply(divide(X_6,divide(B,divide(C,X_6))),B) = multiply(divide(X_6,divide(B,divide(C,X_6))),B),
introduced(tautology,[refl,[$fot(multiply(divide(X_6,divide(B,divide(C,X_6))),B))]]) ).
cnf(refute_0_191,plain,
( multiply(divide(X_6,divide(B,divide(C,X_6))),B) != multiply(divide(X_6,divide(B,divide(C,X_6))),B)
| divide(X_6,divide(B,divide(C,X_6))) != multiply(divide(X_6,B),divide(C,X_6))
| multiply(divide(X_6,divide(B,divide(C,X_6))),B) = multiply(multiply(divide(X_6,B),divide(C,X_6)),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_6,divide(B,divide(C,X_6))),B),multiply(divide(X_6,divide(B,divide(C,X_6))),B)) ),[1,0],$fot(multiply(divide(X_6,B),divide(C,X_6)))]]) ).
cnf(refute_0_192,plain,
( divide(X_6,divide(B,divide(C,X_6))) != multiply(divide(X_6,B),divide(C,X_6))
| multiply(divide(X_6,divide(B,divide(C,X_6))),B) = multiply(multiply(divide(X_6,B),divide(C,X_6)),B) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_6,divide(B,divide(C,X_6))),B),multiply(divide(X_6,divide(B,divide(C,X_6))),B)) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
multiply(divide(X_6,divide(B,divide(C,X_6))),B) = multiply(multiply(divide(X_6,B),divide(C,X_6)),B),
inference(resolve,[$cnf( $equal(divide(X_6,divide(B,divide(C,X_6))),multiply(divide(X_6,B),divide(C,X_6))) )],[refute_0_189,refute_0_192]) ).
cnf(refute_0_194,plain,
divide(X_6,divide(divide(B,divide(C,X_6)),B)) = multiply(divide(X_6,divide(B,divide(C,X_6))),B),
inference(subst,[],[refute_0_93:[bind(A,$fot(X_6)),bind(B,$fot(divide(B,divide(C,X_6)))),bind(C,$fot(B))]]) ).
cnf(refute_0_195,plain,
( multiply(divide(X_6,divide(B,divide(C,X_6))),B) != multiply(multiply(divide(X_6,B),divide(C,X_6)),B)
| divide(X_6,divide(divide(B,divide(C,X_6)),B)) != multiply(divide(X_6,divide(B,divide(C,X_6))),B)
| divide(X_6,divide(divide(B,divide(C,X_6)),B)) = multiply(multiply(divide(X_6,B),divide(C,X_6)),B) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(divide(X_6,divide(divide(B,divide(C,X_6)),B)))),bind(Y,$fot(multiply(divide(X_6,divide(B,divide(C,X_6))),B))),bind(Z,$fot(multiply(multiply(divide(X_6,B),divide(C,X_6)),B)))]]) ).
cnf(refute_0_196,plain,
( multiply(divide(X_6,divide(B,divide(C,X_6))),B) != multiply(multiply(divide(X_6,B),divide(C,X_6)),B)
| divide(X_6,divide(divide(B,divide(C,X_6)),B)) = multiply(multiply(divide(X_6,B),divide(C,X_6)),B) ),
inference(resolve,[$cnf( $equal(divide(X_6,divide(divide(B,divide(C,X_6)),B)),multiply(divide(X_6,divide(B,divide(C,X_6))),B)) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
divide(X_6,divide(divide(B,divide(C,X_6)),B)) = multiply(multiply(divide(X_6,B),divide(C,X_6)),B),
inference(resolve,[$cnf( $equal(multiply(divide(X_6,divide(B,divide(C,X_6))),B),multiply(multiply(divide(X_6,B),divide(C,X_6)),B)) )],[refute_0_193,refute_0_196]) ).
cnf(refute_0_198,plain,
( divide(X_6,divide(divide(B,divide(C,X_6)),B)) != C
| divide(X_6,divide(divide(B,divide(C,X_6)),B)) != multiply(multiply(divide(X_6,B),divide(C,X_6)),B)
| multiply(multiply(divide(X_6,B),divide(C,X_6)),B) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_6,divide(divide(B,divide(C,X_6)),B)),C) ),[0],$fot(multiply(multiply(divide(X_6,B),divide(C,X_6)),B))]]) ).
cnf(refute_0_199,plain,
( divide(X_6,divide(divide(B,divide(C,X_6)),B)) != C
| multiply(multiply(divide(X_6,B),divide(C,X_6)),B) = C ),
inference(resolve,[$cnf( $equal(divide(X_6,divide(divide(B,divide(C,X_6)),B)),multiply(multiply(divide(X_6,B),divide(C,X_6)),B)) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
multiply(multiply(divide(X_6,B),divide(C,X_6)),B) = C,
inference(resolve,[$cnf( $equal(divide(X_6,divide(divide(B,divide(C,X_6)),B)),C) )],[refute_0_188,refute_0_199]) ).
cnf(refute_0_201,plain,
multiply(multiply(divide(multiply(B,X_56),B),divide(C,multiply(B,X_56))),B) = C,
inference(subst,[],[refute_0_200:[bind(X_6,$fot(multiply(B,X_56)))]]) ).
cnf(refute_0_202,plain,
divide(multiply(B,X_56),B) = X_56,
inference(subst,[],[refute_0_173:[bind(X_4,$fot(B)),bind(X_6,$fot(X_56))]]) ).
cnf(refute_0_203,plain,
( multiply(multiply(divide(multiply(B,X_56),B),divide(C,multiply(B,X_56))),B) != C
| divide(multiply(B,X_56),B) != X_56
| multiply(multiply(X_56,divide(C,multiply(B,X_56))),B) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(divide(multiply(B,X_56),B),divide(C,multiply(B,X_56))),B),C) ),[0,0,0],$fot(X_56)]]) ).
cnf(refute_0_204,plain,
( multiply(multiply(divide(multiply(B,X_56),B),divide(C,multiply(B,X_56))),B) != C
| multiply(multiply(X_56,divide(C,multiply(B,X_56))),B) = C ),
inference(resolve,[$cnf( $equal(divide(multiply(B,X_56),B),X_56) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
multiply(multiply(X_56,divide(C,multiply(B,X_56))),B) = C,
inference(resolve,[$cnf( $equal(multiply(multiply(divide(multiply(B,X_56),B),divide(C,multiply(B,X_56))),B),C) )],[refute_0_201,refute_0_204]) ).
cnf(refute_0_206,plain,
multiply(multiply(X_56,divide(C,multiply(B,X_56))),B) = multiply(B,multiply(X_56,divide(C,multiply(B,X_56)))),
inference(subst,[],[refute_0_179:[bind(X_6,$fot(B)),bind(X_61,$fot(multiply(X_56,divide(C,multiply(B,X_56)))))]]) ).
cnf(refute_0_207,plain,
( multiply(multiply(X_56,divide(C,multiply(B,X_56))),B) != C
| multiply(multiply(X_56,divide(C,multiply(B,X_56))),B) != multiply(B,multiply(X_56,divide(C,multiply(B,X_56))))
| multiply(B,multiply(X_56,divide(C,multiply(B,X_56)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_56,divide(C,multiply(B,X_56))),B),C) ),[0],$fot(multiply(B,multiply(X_56,divide(C,multiply(B,X_56)))))]]) ).
cnf(refute_0_208,plain,
( multiply(multiply(X_56,divide(C,multiply(B,X_56))),B) != C
| multiply(B,multiply(X_56,divide(C,multiply(B,X_56)))) = C ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_56,divide(C,multiply(B,X_56))),B),multiply(B,multiply(X_56,divide(C,multiply(B,X_56))))) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
multiply(B,multiply(X_56,divide(C,multiply(B,X_56)))) = C,
inference(resolve,[$cnf( $equal(multiply(multiply(X_56,divide(C,multiply(B,X_56))),B),C) )],[refute_0_205,refute_0_208]) ).
cnf(refute_0_210,plain,
multiply(X_80,multiply(X_82,divide(multiply(X_62,multiply(X_80,X_82)),multiply(X_80,X_82)))) = multiply(X_62,multiply(X_80,X_82)),
inference(subst,[],[refute_0_209:[bind(B,$fot(X_80)),bind(C,$fot(multiply(X_62,multiply(X_80,X_82)))),bind(X_56,$fot(X_82))]]) ).
cnf(refute_0_211,plain,
multiply(divide(X_62,inverse(X_17)),inverse(X_17)) = divide(divide(X_62,inverse(X_17)),X_17),
inference(subst,[],[refute_0_99:[bind(A,$fot(divide(X_62,inverse(X_17))))]]) ).
cnf(refute_0_212,plain,
multiply(divide(X_62,inverse(X_17)),inverse(X_17)) = X_62,
inference(subst,[],[refute_0_126:[bind(X_12,$fot(inverse(X_17))),bind(X_6,$fot(X_62))]]) ).
cnf(refute_0_213,plain,
( multiply(divide(X_62,inverse(X_17)),inverse(X_17)) != X_62
| multiply(divide(X_62,inverse(X_17)),inverse(X_17)) != divide(divide(X_62,inverse(X_17)),X_17)
| X_62 = divide(divide(X_62,inverse(X_17)),X_17) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_62,inverse(X_17)),inverse(X_17)),divide(divide(X_62,inverse(X_17)),X_17)) ),[0],$fot(X_62)]]) ).
cnf(refute_0_214,plain,
( multiply(divide(X_62,inverse(X_17)),inverse(X_17)) != divide(divide(X_62,inverse(X_17)),X_17)
| X_62 = divide(divide(X_62,inverse(X_17)),X_17) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_62,inverse(X_17)),inverse(X_17)),X_62) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
X_62 = divide(divide(X_62,inverse(X_17)),X_17),
inference(resolve,[$cnf( $equal(multiply(divide(X_62,inverse(X_17)),inverse(X_17)),divide(divide(X_62,inverse(X_17)),X_17)) )],[refute_0_211,refute_0_214]) ).
cnf(refute_0_216,plain,
divide(X_62,inverse(X_17)) = multiply(X_62,X_17),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_62)),bind(B,$fot(X_17))]]) ).
cnf(refute_0_217,plain,
divide(divide(X_62,inverse(X_17)),X_17) = divide(divide(X_62,inverse(X_17)),X_17),
introduced(tautology,[refl,[$fot(divide(divide(X_62,inverse(X_17)),X_17))]]) ).
cnf(refute_0_218,plain,
( divide(X_62,inverse(X_17)) != multiply(X_62,X_17)
| divide(divide(X_62,inverse(X_17)),X_17) != divide(divide(X_62,inverse(X_17)),X_17)
| divide(divide(X_62,inverse(X_17)),X_17) = divide(multiply(X_62,X_17),X_17) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_62,inverse(X_17)),X_17),divide(divide(X_62,inverse(X_17)),X_17)) ),[1,0],$fot(multiply(X_62,X_17))]]) ).
cnf(refute_0_219,plain,
( divide(X_62,inverse(X_17)) != multiply(X_62,X_17)
| divide(divide(X_62,inverse(X_17)),X_17) = divide(multiply(X_62,X_17),X_17) ),
inference(resolve,[$cnf( $equal(divide(divide(X_62,inverse(X_17)),X_17),divide(divide(X_62,inverse(X_17)),X_17)) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
divide(divide(X_62,inverse(X_17)),X_17) = divide(multiply(X_62,X_17),X_17),
inference(resolve,[$cnf( $equal(divide(X_62,inverse(X_17)),multiply(X_62,X_17)) )],[refute_0_216,refute_0_219]) ).
cnf(refute_0_221,plain,
( X_62 != divide(divide(X_62,inverse(X_17)),X_17)
| divide(divide(X_62,inverse(X_17)),X_17) != divide(multiply(X_62,X_17),X_17)
| X_62 = divide(multiply(X_62,X_17),X_17) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_62,divide(multiply(X_62,X_17),X_17)) ),[0],$fot(divide(divide(X_62,inverse(X_17)),X_17))]]) ).
cnf(refute_0_222,plain,
( X_62 != divide(divide(X_62,inverse(X_17)),X_17)
| X_62 = divide(multiply(X_62,X_17),X_17) ),
inference(resolve,[$cnf( $equal(divide(divide(X_62,inverse(X_17)),X_17),divide(multiply(X_62,X_17),X_17)) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
X_62 = divide(multiply(X_62,X_17),X_17),
inference(resolve,[$cnf( $equal(X_62,divide(divide(X_62,inverse(X_17)),X_17)) )],[refute_0_215,refute_0_222]) ).
cnf(refute_0_224,plain,
X_62 = divide(multiply(X_62,multiply(X_80,X_82)),multiply(X_80,X_82)),
inference(subst,[],[refute_0_223:[bind(X_17,$fot(multiply(X_80,X_82)))]]) ).
cnf(refute_0_225,plain,
( X_62 != divide(multiply(X_62,multiply(X_80,X_82)),multiply(X_80,X_82))
| divide(multiply(X_62,multiply(X_80,X_82)),multiply(X_80,X_82)) = X_62 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_62)),bind(Y,$fot(divide(multiply(X_62,multiply(X_80,X_82)),multiply(X_80,X_82))))]]) ).
cnf(refute_0_226,plain,
divide(multiply(X_62,multiply(X_80,X_82)),multiply(X_80,X_82)) = X_62,
inference(resolve,[$cnf( $equal(X_62,divide(multiply(X_62,multiply(X_80,X_82)),multiply(X_80,X_82))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
( multiply(X_80,multiply(X_82,divide(multiply(X_62,multiply(X_80,X_82)),multiply(X_80,X_82)))) != multiply(X_62,multiply(X_80,X_82))
| divide(multiply(X_62,multiply(X_80,X_82)),multiply(X_80,X_82)) != X_62
| multiply(X_80,multiply(X_82,X_62)) = multiply(X_62,multiply(X_80,X_82)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_80,multiply(X_82,divide(multiply(X_62,multiply(X_80,X_82)),multiply(X_80,X_82)))),multiply(X_62,multiply(X_80,X_82))) ),[0,1,1],$fot(X_62)]]) ).
cnf(refute_0_228,plain,
( multiply(X_80,multiply(X_82,divide(multiply(X_62,multiply(X_80,X_82)),multiply(X_80,X_82)))) != multiply(X_62,multiply(X_80,X_82))
| multiply(X_80,multiply(X_82,X_62)) = multiply(X_62,multiply(X_80,X_82)) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_62,multiply(X_80,X_82)),multiply(X_80,X_82)),X_62) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
multiply(X_80,multiply(X_82,X_62)) = multiply(X_62,multiply(X_80,X_82)),
inference(resolve,[$cnf( $equal(multiply(X_80,multiply(X_82,divide(multiply(X_62,multiply(X_80,X_82)),multiply(X_80,X_82)))),multiply(X_62,multiply(X_80,X_82))) )],[refute_0_210,refute_0_228]) ).
cnf(refute_0_230,plain,
( multiply(X_80,multiply(X_82,X_62)) != multiply(X_62,multiply(X_80,X_82))
| multiply(X_62,multiply(X_80,X_82)) = multiply(X_80,multiply(X_82,X_62)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_80,multiply(X_82,X_62)))),bind(Y,$fot(multiply(X_62,multiply(X_80,X_82))))]]) ).
cnf(refute_0_231,plain,
multiply(X_62,multiply(X_80,X_82)) = multiply(X_80,multiply(X_82,X_62)),
inference(resolve,[$cnf( $equal(multiply(X_80,multiply(X_82,X_62)),multiply(X_62,multiply(X_80,X_82))) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_231:[bind(X_62,$fot(c3)),bind(X_80,$fot(a3)),bind(X_82,$fot(b3))]]) ).
cnf(refute_0_233,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_234,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_234,refute_0_183]) ).
cnf(refute_0_236,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_237,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_236,refute_0_235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP531-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n023.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 : Tue Jun 14 09:59:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.54
% 0.21/0.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.21/0.57
%------------------------------------------------------------------------------