%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP543-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.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 10:42:14 EDT 2022
% Result : Unsatisfiable 0.20s 0.58s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 153
% Syntax : Number of clauses : 614 ( 321 unt; 0 nHn; 295 RR)
% Number of literals : 1039 (1038 equ; 428 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 1354 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(identity,divide(divide(divide(A,B),C),A)),C) = B ).
cnf(multiply,axiom,
multiply(A,B) = divide(A,divide(identity,B)) ).
cnf(inverse,axiom,
inverse(A) = divide(identity,A) ).
cnf(identity,axiom,
identity = divide(A,A) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( inverse(A) != divide(identity,A)
| divide(identity,A) = inverse(A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(A))),bind(Y,$fot(divide(identity,A)))]]) ).
cnf(refute_0_4,plain,
divide(identity,A) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),divide(identity,A)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
divide(identity,B) = inverse(B),
inference(subst,[],[refute_0_4:[bind(A,$fot(B))]]) ).
cnf(refute_0_6,plain,
divide(A,divide(identity,B)) = divide(A,divide(identity,B)),
introduced(tautology,[refl,[$fot(divide(A,divide(identity,B)))]]) ).
cnf(refute_0_7,plain,
( divide(A,divide(identity,B)) != divide(A,divide(identity,B))
| divide(identity,B) != inverse(B)
| divide(A,divide(identity,B)) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(identity,B)),divide(A,divide(identity,B))) ),[1,1],$fot(inverse(B))]]) ).
cnf(refute_0_8,plain,
( divide(identity,B) != inverse(B)
| divide(A,divide(identity,B)) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(identity,B)),divide(A,divide(identity,B))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
divide(A,divide(identity,B)) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(divide(identity,B),inverse(B)) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
( multiply(A,B) != divide(A,divide(identity,B))
| divide(A,divide(identity,B)) != divide(A,inverse(B))
| multiply(A,B) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),divide(A,inverse(B))) ),[0],$fot(divide(A,divide(identity,B)))]]) ).
cnf(refute_0_11,plain,
( multiply(A,B) != divide(A,divide(identity,B))
| multiply(A,B) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(identity,B)),divide(A,inverse(B))) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
multiply(A,B) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,divide(identity,B))) )],[multiply,refute_0_11]) ).
cnf(refute_0_13,plain,
multiply(X_2,identity) = divide(X_2,inverse(identity)),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_2)),bind(B,$fot(identity))]]) ).
cnf(refute_0_14,plain,
identity = divide(identity,identity),
inference(subst,[],[identity:[bind(A,$fot(identity))]]) ).
cnf(refute_0_15,plain,
inverse(identity) = divide(identity,identity),
inference(subst,[],[inverse:[bind(A,$fot(identity))]]) ).
cnf(refute_0_16,plain,
( inverse(identity) != divide(identity,identity)
| divide(identity,identity) = inverse(identity) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(identity))),bind(Y,$fot(divide(identity,identity)))]]) ).
cnf(refute_0_17,plain,
divide(identity,identity) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),divide(identity,identity)) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( divide(identity,identity) != inverse(identity)
| identity != divide(identity,identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(identity,divide(identity,identity)) ),[1],$fot(inverse(identity))]]) ).
cnf(refute_0_19,plain,
( identity != divide(identity,identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(divide(identity,identity),inverse(identity)) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(identity,divide(identity,identity)) )],[refute_0_14,refute_0_19]) ).
cnf(refute_0_21,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(identity)))]]) ).
cnf(refute_0_22,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| inverse(identity) != identity
| multiply(X_2,identity) = divide(X_2,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_24,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| multiply(X_2,identity) = divide(X_2,identity) ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
multiply(X_2,identity) = divide(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) )],[refute_0_13,refute_0_24]) ).
cnf(refute_0_26,plain,
multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),
inference(subst,[],[refute_0_25:[bind(X_2,$fot(inverse(divide(divide(divide(X_7,X_8),identity),X_7))))]]) ).
cnf(refute_0_27,plain,
divide(identity,divide(divide(divide(A,B),C),A)) = inverse(divide(divide(divide(A,B),C),A)),
inference(subst,[],[refute_0_4:[bind(A,$fot(divide(divide(divide(A,B),C),A)))]]) ).
cnf(refute_0_28,plain,
divide(divide(identity,divide(divide(divide(A,B),C),A)),C) = divide(divide(identity,divide(divide(divide(A,B),C),A)),C),
introduced(tautology,[refl,[$fot(divide(divide(identity,divide(divide(divide(A,B),C),A)),C))]]) ).
cnf(refute_0_29,plain,
( divide(divide(identity,divide(divide(divide(A,B),C),A)),C) != divide(divide(identity,divide(divide(divide(A,B),C),A)),C)
| divide(identity,divide(divide(divide(A,B),C),A)) != inverse(divide(divide(divide(A,B),C),A))
| divide(divide(identity,divide(divide(divide(A,B),C),A)),C) = divide(inverse(divide(divide(divide(A,B),C),A)),C) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(divide(divide(A,B),C),A)),C),divide(divide(identity,divide(divide(divide(A,B),C),A)),C)) ),[1,0],$fot(inverse(divide(divide(divide(A,B),C),A)))]]) ).
cnf(refute_0_30,plain,
( divide(identity,divide(divide(divide(A,B),C),A)) != inverse(divide(divide(divide(A,B),C),A))
| divide(divide(identity,divide(divide(divide(A,B),C),A)),C) = divide(inverse(divide(divide(divide(A,B),C),A)),C) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(divide(divide(A,B),C),A)),C),divide(divide(identity,divide(divide(divide(A,B),C),A)),C)) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
divide(divide(identity,divide(divide(divide(A,B),C),A)),C) = divide(inverse(divide(divide(divide(A,B),C),A)),C),
inference(resolve,[$cnf( $equal(divide(identity,divide(divide(divide(A,B),C),A)),inverse(divide(divide(divide(A,B),C),A))) )],[refute_0_27,refute_0_30]) ).
cnf(refute_0_32,plain,
( divide(divide(identity,divide(divide(divide(A,B),C),A)),C) != B
| divide(divide(identity,divide(divide(divide(A,B),C),A)),C) != divide(inverse(divide(divide(divide(A,B),C),A)),C)
| divide(inverse(divide(divide(divide(A,B),C),A)),C) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(divide(divide(A,B),C),A)),C),B) ),[0],$fot(divide(inverse(divide(divide(divide(A,B),C),A)),C))]]) ).
cnf(refute_0_33,plain,
( divide(divide(identity,divide(divide(divide(A,B),C),A)),C) != B
| divide(inverse(divide(divide(divide(A,B),C),A)),C) = B ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(divide(divide(A,B),C),A)),C),divide(inverse(divide(divide(divide(A,B),C),A)),C)) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
divide(inverse(divide(divide(divide(A,B),C),A)),C) = B,
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(divide(divide(A,B),C),A)),C),B) )],[single_axiom,refute_0_33]) ).
cnf(refute_0_35,plain,
divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = X_8,
inference(subst,[],[refute_0_34:[bind(A,$fot(X_7)),bind(B,$fot(X_8)),bind(C,$fot(identity))]]) ).
cnf(refute_0_36,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity)
| divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != X_8
| multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = X_8 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),X_8) ),[0],$fot(divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity))]]) ).
cnf(refute_0_37,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity)
| multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),X_8) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),divide(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity)) )],[refute_0_26,refute_0_37]) ).
cnf(refute_0_39,plain,
( multiply(X_2,identity) != divide(X_2,identity)
| divide(X_2,identity) = multiply(X_2,identity) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_2,identity))),bind(Y,$fot(divide(X_2,identity)))]]) ).
cnf(refute_0_40,plain,
divide(X_2,identity) = multiply(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,identity)) )],[refute_0_25,refute_0_39]) ).
cnf(refute_0_41,plain,
divide(divide(X_7,X_8),identity) = multiply(divide(X_7,X_8),identity),
inference(subst,[],[refute_0_40:[bind(X_2,$fot(divide(X_7,X_8)))]]) ).
cnf(refute_0_42,plain,
divide(divide(divide(X_7,X_8),identity),X_7) = divide(divide(divide(X_7,X_8),identity),X_7),
introduced(tautology,[refl,[$fot(divide(divide(divide(X_7,X_8),identity),X_7))]]) ).
cnf(refute_0_43,plain,
( divide(divide(X_7,X_8),identity) != multiply(divide(X_7,X_8),identity)
| divide(divide(divide(X_7,X_8),identity),X_7) != divide(divide(divide(X_7,X_8),identity),X_7)
| divide(divide(divide(X_7,X_8),identity),X_7) = divide(multiply(divide(X_7,X_8),identity),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_7,X_8),identity),X_7),divide(divide(divide(X_7,X_8),identity),X_7)) ),[1,0],$fot(multiply(divide(X_7,X_8),identity))]]) ).
cnf(refute_0_44,plain,
( divide(divide(X_7,X_8),identity) != multiply(divide(X_7,X_8),identity)
| divide(divide(divide(X_7,X_8),identity),X_7) = divide(multiply(divide(X_7,X_8),identity),X_7) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_7,X_8),identity),X_7),divide(divide(divide(X_7,X_8),identity),X_7)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
divide(divide(divide(X_7,X_8),identity),X_7) = divide(multiply(divide(X_7,X_8),identity),X_7),
inference(resolve,[$cnf( $equal(divide(divide(X_7,X_8),identity),multiply(divide(X_7,X_8),identity)) )],[refute_0_41,refute_0_44]) ).
cnf(refute_0_46,plain,
inverse(divide(divide(divide(X_7,X_8),identity),X_7)) = inverse(divide(divide(divide(X_7,X_8),identity),X_7)),
introduced(tautology,[refl,[$fot(inverse(divide(divide(divide(X_7,X_8),identity),X_7)))]]) ).
cnf(refute_0_47,plain,
( divide(divide(divide(X_7,X_8),identity),X_7) != divide(multiply(divide(X_7,X_8),identity),X_7)
| inverse(divide(divide(divide(X_7,X_8),identity),X_7)) != inverse(divide(divide(divide(X_7,X_8),identity),X_7))
| inverse(divide(divide(divide(X_7,X_8),identity),X_7)) = inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),inverse(divide(divide(divide(X_7,X_8),identity),X_7))) ),[1,0],$fot(divide(multiply(divide(X_7,X_8),identity),X_7))]]) ).
cnf(refute_0_48,plain,
( divide(divide(divide(X_7,X_8),identity),X_7) != divide(multiply(divide(X_7,X_8),identity),X_7)
| inverse(divide(divide(divide(X_7,X_8),identity),X_7)) = inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),inverse(divide(divide(divide(X_7,X_8),identity),X_7))) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
inverse(divide(divide(divide(X_7,X_8),identity),X_7)) = inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_7,X_8),identity),X_7),divide(multiply(divide(X_7,X_8),identity),X_7)) )],[refute_0_45,refute_0_48]) ).
cnf(refute_0_50,plain,
multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),
introduced(tautology,[refl,[$fot(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity))]]) ).
cnf(refute_0_51,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity)
| inverse(divide(divide(divide(X_7,X_8),identity),X_7)) != inverse(divide(multiply(divide(X_7,X_8),identity),X_7))
| multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity)) ),[1,0],$fot(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)))]]) ).
cnf(refute_0_52,plain,
( inverse(divide(divide(divide(X_7,X_8),identity),X_7)) != inverse(divide(multiply(divide(X_7,X_8),identity),X_7))
| multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity)) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) = multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity),
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),inverse(divide(multiply(divide(X_7,X_8),identity),X_7))) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != X_8
| multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity)
| multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),X_8) ),[0],$fot(multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity))]]) ).
cnf(refute_0_55,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity) != X_8
| multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity)) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),identity),X_7)),identity),X_8) )],[refute_0_38,refute_0_55]) ).
cnf(refute_0_57,plain,
divide(inverse(divide(divide(divide(X_7,X_8),divide(X_7,X_8)),X_7)),divide(X_7,X_8)) = X_8,
inference(subst,[],[refute_0_34:[bind(A,$fot(X_7)),bind(B,$fot(X_8)),bind(C,$fot(divide(X_7,X_8)))]]) ).
cnf(refute_0_58,plain,
identity = divide(divide(X_7,X_8),divide(X_7,X_8)),
inference(subst,[],[identity:[bind(A,$fot(divide(X_7,X_8)))]]) ).
cnf(refute_0_59,plain,
( identity != divide(divide(X_7,X_8),divide(X_7,X_8))
| divide(divide(X_7,X_8),divide(X_7,X_8)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(divide(divide(X_7,X_8),divide(X_7,X_8))))]]) ).
cnf(refute_0_60,plain,
divide(divide(X_7,X_8),divide(X_7,X_8)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(divide(X_7,X_8),divide(X_7,X_8))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
( divide(divide(X_7,X_8),divide(X_7,X_8)) != identity
| divide(inverse(divide(divide(divide(X_7,X_8),divide(X_7,X_8)),X_7)),divide(X_7,X_8)) != X_8
| divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(divide(X_7,X_8),divide(X_7,X_8)),X_7)),divide(X_7,X_8)),X_8) ),[0,0,0,0],$fot(identity)]]) ).
cnf(refute_0_62,plain,
( divide(inverse(divide(divide(divide(X_7,X_8),divide(X_7,X_8)),X_7)),divide(X_7,X_8)) != X_8
| divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = X_8 ),
inference(resolve,[$cnf( $equal(divide(divide(X_7,X_8),divide(X_7,X_8)),identity) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_7,X_8),divide(X_7,X_8)),X_7)),divide(X_7,X_8)),X_8) )],[refute_0_57,refute_0_62]) ).
cnf(refute_0_64,plain,
divide(identity,X_7) = inverse(X_7),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_7))]]) ).
cnf(refute_0_65,plain,
inverse(divide(identity,X_7)) = inverse(divide(identity,X_7)),
introduced(tautology,[refl,[$fot(inverse(divide(identity,X_7)))]]) ).
cnf(refute_0_66,plain,
( divide(identity,X_7) != inverse(X_7)
| inverse(divide(identity,X_7)) != inverse(divide(identity,X_7))
| inverse(divide(identity,X_7)) = inverse(inverse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(identity,X_7)),inverse(divide(identity,X_7))) ),[1,0],$fot(inverse(X_7))]]) ).
cnf(refute_0_67,plain,
( divide(identity,X_7) != inverse(X_7)
| inverse(divide(identity,X_7)) = inverse(inverse(X_7)) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_7)),inverse(divide(identity,X_7))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
inverse(divide(identity,X_7)) = inverse(inverse(X_7)),
inference(resolve,[$cnf( $equal(divide(identity,X_7),inverse(X_7)) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = divide(inverse(divide(identity,X_7)),divide(X_7,X_8)),
introduced(tautology,[refl,[$fot(divide(inverse(divide(identity,X_7)),divide(X_7,X_8)))]]) ).
cnf(refute_0_70,plain,
( divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) != divide(inverse(divide(identity,X_7)),divide(X_7,X_8))
| inverse(divide(identity,X_7)) != inverse(inverse(X_7))
| divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = divide(inverse(inverse(X_7)),divide(X_7,X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(identity,X_7)),divide(X_7,X_8)),divide(inverse(divide(identity,X_7)),divide(X_7,X_8))) ),[1,0],$fot(inverse(inverse(X_7)))]]) ).
cnf(refute_0_71,plain,
( inverse(divide(identity,X_7)) != inverse(inverse(X_7))
| divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = divide(inverse(inverse(X_7)),divide(X_7,X_8)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,X_7)),divide(X_7,X_8)),divide(inverse(divide(identity,X_7)),divide(X_7,X_8))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) = divide(inverse(inverse(X_7)),divide(X_7,X_8)),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_7)),inverse(inverse(X_7))) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
( divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) != X_8
| divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) != divide(inverse(inverse(X_7)),divide(X_7,X_8))
| divide(inverse(inverse(X_7)),divide(X_7,X_8)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(identity,X_7)),divide(X_7,X_8)),X_8) ),[0],$fot(divide(inverse(inverse(X_7)),divide(X_7,X_8)))]]) ).
cnf(refute_0_74,plain,
( divide(inverse(divide(identity,X_7)),divide(X_7,X_8)) != X_8
| divide(inverse(inverse(X_7)),divide(X_7,X_8)) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,X_7)),divide(X_7,X_8)),divide(inverse(inverse(X_7)),divide(X_7,X_8))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
divide(inverse(inverse(X_7)),divide(X_7,X_8)) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,X_7)),divide(X_7,X_8)),X_8) )],[refute_0_63,refute_0_74]) ).
cnf(refute_0_76,plain,
divide(inverse(inverse(identity)),divide(identity,X_24)) = X_24,
inference(subst,[],[refute_0_75:[bind(X_7,$fot(identity)),bind(X_8,$fot(X_24))]]) ).
cnf(refute_0_77,plain,
inverse(X_24) = divide(identity,X_24),
inference(subst,[],[inverse:[bind(A,$fot(X_24))]]) ).
cnf(refute_0_78,plain,
( inverse(X_24) != divide(identity,X_24)
| divide(identity,X_24) = inverse(X_24) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_24))),bind(Y,$fot(divide(identity,X_24)))]]) ).
cnf(refute_0_79,plain,
divide(identity,X_24) = inverse(X_24),
inference(resolve,[$cnf( $equal(inverse(X_24),divide(identity,X_24)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
( divide(identity,X_24) != inverse(X_24)
| divide(inverse(inverse(identity)),divide(identity,X_24)) != X_24
| divide(inverse(inverse(identity)),inverse(X_24)) = X_24 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(identity)),divide(identity,X_24)),X_24) ),[0,1],$fot(inverse(X_24))]]) ).
cnf(refute_0_81,plain,
( divide(inverse(inverse(identity)),divide(identity,X_24)) != X_24
| divide(inverse(inverse(identity)),inverse(X_24)) = X_24 ),
inference(resolve,[$cnf( $equal(divide(identity,X_24),inverse(X_24)) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
divide(inverse(inverse(identity)),inverse(X_24)) = X_24,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(identity)),divide(identity,X_24)),X_24) )],[refute_0_76,refute_0_81]) ).
cnf(refute_0_83,plain,
( multiply(A,B) != divide(A,inverse(B))
| divide(A,inverse(B)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(divide(A,inverse(B))))]]) ).
cnf(refute_0_84,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,inverse(B))) )],[refute_0_12,refute_0_83]) ).
cnf(refute_0_85,plain,
divide(X_24,inverse(identity)) = multiply(X_24,identity),
inference(subst,[],[refute_0_84:[bind(A,$fot(X_24)),bind(B,$fot(identity))]]) ).
cnf(refute_0_86,plain,
divide(inverse(divide(divide(divide(X_8,X_8),X_9),X_8)),X_9) = X_8,
inference(subst,[],[refute_0_34:[bind(A,$fot(X_8)),bind(B,$fot(X_8)),bind(C,$fot(X_9))]]) ).
cnf(refute_0_87,plain,
identity = divide(X_8,X_8),
inference(subst,[],[identity:[bind(A,$fot(X_8))]]) ).
cnf(refute_0_88,plain,
( identity != divide(X_8,X_8)
| divide(X_8,X_8) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(divide(X_8,X_8)))]]) ).
cnf(refute_0_89,plain,
divide(X_8,X_8) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_8,X_8)) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
( divide(X_8,X_8) != identity
| divide(inverse(divide(divide(divide(X_8,X_8),X_9),X_8)),X_9) != X_8
| divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_8),X_9),X_8)),X_9),X_8) ),[0,0,0,0,0],$fot(identity)]]) ).
cnf(refute_0_91,plain,
( divide(inverse(divide(divide(divide(X_8,X_8),X_9),X_8)),X_9) != X_8
| divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = X_8 ),
inference(resolve,[$cnf( $equal(divide(X_8,X_8),identity) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_8),X_9),X_8)),X_9),X_8) )],[refute_0_86,refute_0_91]) ).
cnf(refute_0_93,plain,
divide(identity,X_9) = inverse(X_9),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_9))]]) ).
cnf(refute_0_94,plain,
divide(divide(identity,X_9),X_8) = divide(divide(identity,X_9),X_8),
introduced(tautology,[refl,[$fot(divide(divide(identity,X_9),X_8))]]) ).
cnf(refute_0_95,plain,
( divide(divide(identity,X_9),X_8) != divide(divide(identity,X_9),X_8)
| divide(identity,X_9) != inverse(X_9)
| divide(divide(identity,X_9),X_8) = divide(inverse(X_9),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,X_9),X_8),divide(divide(identity,X_9),X_8)) ),[1,0],$fot(inverse(X_9))]]) ).
cnf(refute_0_96,plain,
( divide(identity,X_9) != inverse(X_9)
| divide(divide(identity,X_9),X_8) = divide(inverse(X_9),X_8) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,X_9),X_8),divide(divide(identity,X_9),X_8)) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
divide(divide(identity,X_9),X_8) = divide(inverse(X_9),X_8),
inference(resolve,[$cnf( $equal(divide(identity,X_9),inverse(X_9)) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
inverse(divide(divide(identity,X_9),X_8)) = inverse(divide(divide(identity,X_9),X_8)),
introduced(tautology,[refl,[$fot(inverse(divide(divide(identity,X_9),X_8)))]]) ).
cnf(refute_0_99,plain,
( divide(divide(identity,X_9),X_8) != divide(inverse(X_9),X_8)
| inverse(divide(divide(identity,X_9),X_8)) != inverse(divide(divide(identity,X_9),X_8))
| inverse(divide(divide(identity,X_9),X_8)) = inverse(divide(inverse(X_9),X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(identity,X_9),X_8)),inverse(divide(divide(identity,X_9),X_8))) ),[1,0],$fot(divide(inverse(X_9),X_8))]]) ).
cnf(refute_0_100,plain,
( divide(divide(identity,X_9),X_8) != divide(inverse(X_9),X_8)
| inverse(divide(divide(identity,X_9),X_8)) = inverse(divide(inverse(X_9),X_8)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(identity,X_9),X_8)),inverse(divide(divide(identity,X_9),X_8))) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
inverse(divide(divide(identity,X_9),X_8)) = inverse(divide(inverse(X_9),X_8)),
inference(resolve,[$cnf( $equal(divide(divide(identity,X_9),X_8),divide(inverse(X_9),X_8)) )],[refute_0_97,refute_0_100]) ).
cnf(refute_0_102,plain,
divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = divide(inverse(divide(divide(identity,X_9),X_8)),X_9),
introduced(tautology,[refl,[$fot(divide(inverse(divide(divide(identity,X_9),X_8)),X_9))]]) ).
cnf(refute_0_103,plain,
( divide(inverse(divide(divide(identity,X_9),X_8)),X_9) != divide(inverse(divide(divide(identity,X_9),X_8)),X_9)
| inverse(divide(divide(identity,X_9),X_8)) != inverse(divide(inverse(X_9),X_8))
| divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = divide(inverse(divide(inverse(X_9),X_8)),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(identity,X_9),X_8)),X_9),divide(inverse(divide(divide(identity,X_9),X_8)),X_9)) ),[1,0],$fot(inverse(divide(inverse(X_9),X_8)))]]) ).
cnf(refute_0_104,plain,
( inverse(divide(divide(identity,X_9),X_8)) != inverse(divide(inverse(X_9),X_8))
| divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = divide(inverse(divide(inverse(X_9),X_8)),X_9) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(identity,X_9),X_8)),X_9),divide(inverse(divide(divide(identity,X_9),X_8)),X_9)) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
divide(inverse(divide(divide(identity,X_9),X_8)),X_9) = divide(inverse(divide(inverse(X_9),X_8)),X_9),
inference(resolve,[$cnf( $equal(inverse(divide(divide(identity,X_9),X_8)),inverse(divide(inverse(X_9),X_8))) )],[refute_0_101,refute_0_104]) ).
cnf(refute_0_106,plain,
( divide(inverse(divide(divide(identity,X_9),X_8)),X_9) != X_8
| divide(inverse(divide(divide(identity,X_9),X_8)),X_9) != divide(inverse(divide(inverse(X_9),X_8)),X_9)
| divide(inverse(divide(inverse(X_9),X_8)),X_9) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(identity,X_9),X_8)),X_9),X_8) ),[0],$fot(divide(inverse(divide(inverse(X_9),X_8)),X_9))]]) ).
cnf(refute_0_107,plain,
( divide(inverse(divide(divide(identity,X_9),X_8)),X_9) != X_8
| divide(inverse(divide(inverse(X_9),X_8)),X_9) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(identity,X_9),X_8)),X_9),divide(inverse(divide(inverse(X_9),X_8)),X_9)) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
divide(inverse(divide(inverse(X_9),X_8)),X_9) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(identity,X_9),X_8)),X_9),X_8) )],[refute_0_92,refute_0_107]) ).
cnf(refute_0_109,plain,
divide(inverse(divide(inverse(inverse(X_23)),divide(X_23,X_24))),inverse(X_23)) = divide(X_23,X_24),
inference(subst,[],[refute_0_108:[bind(X_8,$fot(divide(X_23,X_24))),bind(X_9,$fot(inverse(X_23)))]]) ).
cnf(refute_0_110,plain,
divide(inverse(inverse(X_23)),divide(X_23,X_24)) = X_24,
inference(subst,[],[refute_0_75:[bind(X_7,$fot(X_23)),bind(X_8,$fot(X_24))]]) ).
cnf(refute_0_111,plain,
( divide(inverse(divide(inverse(inverse(X_23)),divide(X_23,X_24))),inverse(X_23)) != divide(X_23,X_24)
| divide(inverse(inverse(X_23)),divide(X_23,X_24)) != X_24
| divide(inverse(X_24),inverse(X_23)) = divide(X_23,X_24) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(inverse(X_23)),divide(X_23,X_24))),inverse(X_23)),divide(X_23,X_24)) ),[0,0,0],$fot(X_24)]]) ).
cnf(refute_0_112,plain,
( divide(inverse(divide(inverse(inverse(X_23)),divide(X_23,X_24))),inverse(X_23)) != divide(X_23,X_24)
| divide(inverse(X_24),inverse(X_23)) = divide(X_23,X_24) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_23)),divide(X_23,X_24)),X_24) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
divide(inverse(X_24),inverse(X_23)) = divide(X_23,X_24),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(inverse(X_23)),divide(X_23,X_24))),inverse(X_23)),divide(X_23,X_24)) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
divide(inverse(X_24),inverse(X_23)) = multiply(inverse(X_24),X_23),
inference(subst,[],[refute_0_84:[bind(A,$fot(inverse(X_24))),bind(B,$fot(X_23))]]) ).
cnf(refute_0_115,plain,
( divide(inverse(X_24),inverse(X_23)) != multiply(inverse(X_24),X_23)
| divide(inverse(X_24),inverse(X_23)) != divide(X_23,X_24)
| multiply(inverse(X_24),X_23) = divide(X_23,X_24) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_24),inverse(X_23)),divide(X_23,X_24)) ),[0],$fot(multiply(inverse(X_24),X_23))]]) ).
cnf(refute_0_116,plain,
( divide(inverse(X_24),inverse(X_23)) != divide(X_23,X_24)
| multiply(inverse(X_24),X_23) = divide(X_23,X_24) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_24),inverse(X_23)),multiply(inverse(X_24),X_23)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
multiply(inverse(X_24),X_23) = divide(X_23,X_24),
inference(resolve,[$cnf( $equal(divide(inverse(X_24),inverse(X_23)),divide(X_23,X_24)) )],[refute_0_113,refute_0_116]) ).
cnf(refute_0_118,plain,
multiply(inverse(inverse(identity)),X_24) = divide(X_24,inverse(identity)),
inference(subst,[],[refute_0_117:[bind(X_23,$fot(X_24)),bind(X_24,$fot(inverse(identity)))]]) ).
cnf(refute_0_119,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_120,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_119]) ).
cnf(refute_0_121,plain,
( multiply(inverse(inverse(identity)),X_24) != divide(X_24,inverse(identity))
| divide(X_24,inverse(identity)) != multiply(X_24,identity)
| multiply(inverse(inverse(identity)),X_24) = multiply(X_24,identity) ),
inference(subst,[],[refute_0_120:[bind(X,$fot(multiply(inverse(inverse(identity)),X_24))),bind(Y,$fot(divide(X_24,inverse(identity)))),bind(Z,$fot(multiply(X_24,identity)))]]) ).
cnf(refute_0_122,plain,
( divide(X_24,inverse(identity)) != multiply(X_24,identity)
| multiply(inverse(inverse(identity)),X_24) = multiply(X_24,identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),X_24),divide(X_24,inverse(identity))) )],[refute_0_118,refute_0_121]) ).
cnf(refute_0_123,plain,
multiply(inverse(inverse(identity)),X_24) = multiply(X_24,identity),
inference(resolve,[$cnf( $equal(divide(X_24,inverse(identity)),multiply(X_24,identity)) )],[refute_0_85,refute_0_122]) ).
cnf(refute_0_124,plain,
divide(inverse(inverse(identity)),inverse(X_24)) = multiply(inverse(inverse(identity)),X_24),
inference(subst,[],[refute_0_84:[bind(A,$fot(inverse(inverse(identity)))),bind(B,$fot(X_24))]]) ).
cnf(refute_0_125,plain,
( multiply(inverse(inverse(identity)),X_24) != multiply(X_24,identity)
| divide(inverse(inverse(identity)),inverse(X_24)) != multiply(inverse(inverse(identity)),X_24)
| divide(inverse(inverse(identity)),inverse(X_24)) = multiply(X_24,identity) ),
inference(subst,[],[refute_0_120:[bind(X,$fot(divide(inverse(inverse(identity)),inverse(X_24)))),bind(Y,$fot(multiply(inverse(inverse(identity)),X_24))),bind(Z,$fot(multiply(X_24,identity)))]]) ).
cnf(refute_0_126,plain,
( multiply(inverse(inverse(identity)),X_24) != multiply(X_24,identity)
| divide(inverse(inverse(identity)),inverse(X_24)) = multiply(X_24,identity) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(identity)),inverse(X_24)),multiply(inverse(inverse(identity)),X_24)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
divide(inverse(inverse(identity)),inverse(X_24)) = multiply(X_24,identity),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),X_24),multiply(X_24,identity)) )],[refute_0_123,refute_0_126]) ).
cnf(refute_0_128,plain,
( divide(inverse(inverse(identity)),inverse(X_24)) != X_24
| divide(inverse(inverse(identity)),inverse(X_24)) != multiply(X_24,identity)
| multiply(X_24,identity) = X_24 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(identity)),inverse(X_24)),X_24) ),[0],$fot(multiply(X_24,identity))]]) ).
cnf(refute_0_129,plain,
( divide(inverse(inverse(identity)),inverse(X_24)) != X_24
| multiply(X_24,identity) = X_24 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(identity)),inverse(X_24)),multiply(X_24,identity)) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
multiply(X_24,identity) = X_24,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(identity)),inverse(X_24)),X_24) )],[refute_0_82,refute_0_129]) ).
cnf(refute_0_131,plain,
multiply(divide(X_7,X_8),identity) = divide(X_7,X_8),
inference(subst,[],[refute_0_130:[bind(X_24,$fot(divide(X_7,X_8)))]]) ).
cnf(refute_0_132,plain,
divide(multiply(divide(X_7,X_8),identity),X_7) = divide(multiply(divide(X_7,X_8),identity),X_7),
introduced(tautology,[refl,[$fot(divide(multiply(divide(X_7,X_8),identity),X_7))]]) ).
cnf(refute_0_133,plain,
( multiply(divide(X_7,X_8),identity) != divide(X_7,X_8)
| divide(multiply(divide(X_7,X_8),identity),X_7) != divide(multiply(divide(X_7,X_8),identity),X_7)
| divide(multiply(divide(X_7,X_8),identity),X_7) = divide(divide(X_7,X_8),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(X_7,X_8),identity),X_7),divide(multiply(divide(X_7,X_8),identity),X_7)) ),[1,0],$fot(divide(X_7,X_8))]]) ).
cnf(refute_0_134,plain,
( multiply(divide(X_7,X_8),identity) != divide(X_7,X_8)
| divide(multiply(divide(X_7,X_8),identity),X_7) = divide(divide(X_7,X_8),X_7) ),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_7,X_8),identity),X_7),divide(multiply(divide(X_7,X_8),identity),X_7)) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
divide(multiply(divide(X_7,X_8),identity),X_7) = divide(divide(X_7,X_8),X_7),
inference(resolve,[$cnf( $equal(multiply(divide(X_7,X_8),identity),divide(X_7,X_8)) )],[refute_0_131,refute_0_134]) ).
cnf(refute_0_136,plain,
inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) = inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),
introduced(tautology,[refl,[$fot(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)))]]) ).
cnf(refute_0_137,plain,
( divide(multiply(divide(X_7,X_8),identity),X_7) != divide(divide(X_7,X_8),X_7)
| inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) != inverse(divide(multiply(divide(X_7,X_8),identity),X_7))
| inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) = inverse(divide(divide(X_7,X_8),X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),inverse(divide(multiply(divide(X_7,X_8),identity),X_7))) ),[1,0],$fot(divide(divide(X_7,X_8),X_7))]]) ).
cnf(refute_0_138,plain,
( divide(multiply(divide(X_7,X_8),identity),X_7) != divide(divide(X_7,X_8),X_7)
| inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) = inverse(divide(divide(X_7,X_8),X_7)) ),
inference(resolve,[$cnf( $equal(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),inverse(divide(multiply(divide(X_7,X_8),identity),X_7))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) = inverse(divide(divide(X_7,X_8),X_7)),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_7,X_8),identity),X_7),divide(divide(X_7,X_8),X_7)) )],[refute_0_135,refute_0_138]) ).
cnf(refute_0_140,plain,
multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),
inference(subst,[],[refute_0_130:[bind(X_24,$fot(inverse(divide(multiply(divide(X_7,X_8),identity),X_7))))]]) ).
cnf(refute_0_141,plain,
( multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) != inverse(divide(multiply(divide(X_7,X_8),identity),X_7))
| inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) != inverse(divide(divide(X_7,X_8),X_7))
| multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = inverse(divide(divide(X_7,X_8),X_7)) ),
inference(subst,[],[refute_0_120:[bind(X,$fot(multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity))),bind(Y,$fot(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)))),bind(Z,$fot(inverse(divide(divide(X_7,X_8),X_7))))]]) ).
cnf(refute_0_142,plain,
( inverse(divide(multiply(divide(X_7,X_8),identity),X_7)) != inverse(divide(divide(X_7,X_8),X_7))
| multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = inverse(divide(divide(X_7,X_8),X_7)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity),inverse(divide(multiply(divide(X_7,X_8),identity),X_7))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) = inverse(divide(divide(X_7,X_8),X_7)),
inference(resolve,[$cnf( $equal(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),inverse(divide(divide(X_7,X_8),X_7))) )],[refute_0_139,refute_0_142]) ).
cnf(refute_0_144,plain,
( multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) != X_8
| multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) != inverse(divide(divide(X_7,X_8),X_7))
| inverse(divide(divide(X_7,X_8),X_7)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity),X_8) ),[0],$fot(inverse(divide(divide(X_7,X_8),X_7)))]]) ).
cnf(refute_0_145,plain,
( multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity) != X_8
| inverse(divide(divide(X_7,X_8),X_7)) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity),inverse(divide(divide(X_7,X_8),X_7))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
inverse(divide(divide(X_7,X_8),X_7)) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(multiply(divide(X_7,X_8),identity),X_7)),identity),X_8) )],[refute_0_56,refute_0_145]) ).
cnf(refute_0_147,plain,
inverse(divide(divide(X_40,divide(X_40,X_24)),X_40)) = divide(X_40,X_24),
inference(subst,[],[refute_0_146:[bind(X_7,$fot(X_40)),bind(X_8,$fot(divide(X_40,X_24)))]]) ).
cnf(refute_0_148,plain,
divide(inverse(inverse(multiply(X_18,identity))),divide(multiply(X_18,identity),X_24)) = X_24,
inference(subst,[],[refute_0_75:[bind(X_7,$fot(multiply(X_18,identity))),bind(X_8,$fot(X_24))]]) ).
cnf(refute_0_149,plain,
divide(inverse(divide(inverse(divide(inverse(X_8),X_15)),X_8)),divide(inverse(X_8),X_15)) = X_8,
inference(subst,[],[refute_0_108:[bind(X_9,$fot(divide(inverse(X_8),X_15)))]]) ).
cnf(refute_0_150,plain,
divide(inverse(divide(inverse(X_8),X_15)),X_8) = X_15,
inference(subst,[],[refute_0_108:[bind(X_8,$fot(X_15)),bind(X_9,$fot(X_8))]]) ).
cnf(refute_0_151,plain,
( divide(inverse(divide(inverse(X_8),X_15)),X_8) != X_15
| divide(inverse(divide(inverse(divide(inverse(X_8),X_15)),X_8)),divide(inverse(X_8),X_15)) != X_8
| divide(inverse(X_15),divide(inverse(X_8),X_15)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(divide(inverse(X_8),X_15)),X_8)),divide(inverse(X_8),X_15)),X_8) ),[0,0,0],$fot(X_15)]]) ).
cnf(refute_0_152,plain,
( divide(inverse(divide(inverse(divide(inverse(X_8),X_15)),X_8)),divide(inverse(X_8),X_15)) != X_8
| divide(inverse(X_15),divide(inverse(X_8),X_15)) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(X_8),X_15)),X_8),X_15) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
divide(inverse(X_15),divide(inverse(X_8),X_15)) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(divide(inverse(X_8),X_15)),X_8)),divide(inverse(X_8),X_15)),X_8) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
divide(inverse(identity),divide(inverse(X_18),identity)) = X_18,
inference(subst,[],[refute_0_153:[bind(X_15,$fot(identity)),bind(X_8,$fot(X_18))]]) ).
cnf(refute_0_155,plain,
multiply(inverse(X_18),identity) = divide(inverse(X_18),identity),
inference(subst,[],[refute_0_25:[bind(X_2,$fot(inverse(X_18)))]]) ).
cnf(refute_0_156,plain,
( multiply(inverse(X_18),identity) != divide(inverse(X_18),identity)
| divide(inverse(X_18),identity) = multiply(inverse(X_18),identity) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_18),identity))),bind(Y,$fot(divide(inverse(X_18),identity)))]]) ).
cnf(refute_0_157,plain,
divide(inverse(X_18),identity) = multiply(inverse(X_18),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_18),identity),divide(inverse(X_18),identity)) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
( divide(inverse(X_18),identity) != multiply(inverse(X_18),identity)
| divide(inverse(identity),divide(inverse(X_18),identity)) != X_18
| divide(inverse(identity),multiply(inverse(X_18),identity)) = X_18 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(identity),divide(inverse(X_18),identity)),X_18) ),[0,1],$fot(multiply(inverse(X_18),identity))]]) ).
cnf(refute_0_159,plain,
( divide(inverse(identity),divide(inverse(X_18),identity)) != X_18
| divide(inverse(identity),multiply(inverse(X_18),identity)) = X_18 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_18),identity),multiply(inverse(X_18),identity)) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
divide(inverse(identity),multiply(inverse(X_18),identity)) = X_18,
inference(resolve,[$cnf( $equal(divide(inverse(identity),divide(inverse(X_18),identity)),X_18) )],[refute_0_154,refute_0_159]) ).
cnf(refute_0_161,plain,
divide(identity,multiply(inverse(X_18),identity)) = inverse(multiply(inverse(X_18),identity)),
inference(subst,[],[refute_0_4:[bind(A,$fot(multiply(inverse(X_18),identity)))]]) ).
cnf(refute_0_162,plain,
divide(inverse(identity),multiply(inverse(X_18),identity)) = divide(inverse(identity),multiply(inverse(X_18),identity)),
introduced(tautology,[refl,[$fot(divide(inverse(identity),multiply(inverse(X_18),identity)))]]) ).
cnf(refute_0_163,plain,
( divide(inverse(identity),multiply(inverse(X_18),identity)) != divide(inverse(identity),multiply(inverse(X_18),identity))
| inverse(identity) != identity
| divide(inverse(identity),multiply(inverse(X_18),identity)) = divide(identity,multiply(inverse(X_18),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(identity),multiply(inverse(X_18),identity)),divide(inverse(identity),multiply(inverse(X_18),identity))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_164,plain,
( inverse(identity) != identity
| divide(inverse(identity),multiply(inverse(X_18),identity)) = divide(identity,multiply(inverse(X_18),identity)) ),
inference(resolve,[$cnf( $equal(divide(inverse(identity),multiply(inverse(X_18),identity)),divide(inverse(identity),multiply(inverse(X_18),identity))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
divide(inverse(identity),multiply(inverse(X_18),identity)) = divide(identity,multiply(inverse(X_18),identity)),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_22,refute_0_164]) ).
cnf(refute_0_166,plain,
( divide(identity,multiply(inverse(X_18),identity)) != inverse(multiply(inverse(X_18),identity))
| divide(inverse(identity),multiply(inverse(X_18),identity)) != divide(identity,multiply(inverse(X_18),identity))
| divide(inverse(identity),multiply(inverse(X_18),identity)) = inverse(multiply(inverse(X_18),identity)) ),
inference(subst,[],[refute_0_120:[bind(X,$fot(divide(inverse(identity),multiply(inverse(X_18),identity)))),bind(Y,$fot(divide(identity,multiply(inverse(X_18),identity)))),bind(Z,$fot(inverse(multiply(inverse(X_18),identity))))]]) ).
cnf(refute_0_167,plain,
( divide(identity,multiply(inverse(X_18),identity)) != inverse(multiply(inverse(X_18),identity))
| divide(inverse(identity),multiply(inverse(X_18),identity)) = inverse(multiply(inverse(X_18),identity)) ),
inference(resolve,[$cnf( $equal(divide(inverse(identity),multiply(inverse(X_18),identity)),divide(identity,multiply(inverse(X_18),identity))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
divide(inverse(identity),multiply(inverse(X_18),identity)) = inverse(multiply(inverse(X_18),identity)),
inference(resolve,[$cnf( $equal(divide(identity,multiply(inverse(X_18),identity)),inverse(multiply(inverse(X_18),identity))) )],[refute_0_161,refute_0_167]) ).
cnf(refute_0_169,plain,
( divide(inverse(identity),multiply(inverse(X_18),identity)) != X_18
| divide(inverse(identity),multiply(inverse(X_18),identity)) != inverse(multiply(inverse(X_18),identity))
| inverse(multiply(inverse(X_18),identity)) = X_18 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(identity),multiply(inverse(X_18),identity)),X_18) ),[0],$fot(inverse(multiply(inverse(X_18),identity)))]]) ).
cnf(refute_0_170,plain,
( divide(inverse(identity),multiply(inverse(X_18),identity)) != X_18
| inverse(multiply(inverse(X_18),identity)) = X_18 ),
inference(resolve,[$cnf( $equal(divide(inverse(identity),multiply(inverse(X_18),identity)),inverse(multiply(inverse(X_18),identity))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
inverse(multiply(inverse(X_18),identity)) = X_18,
inference(resolve,[$cnf( $equal(divide(inverse(identity),multiply(inverse(X_18),identity)),X_18) )],[refute_0_160,refute_0_170]) ).
cnf(refute_0_172,plain,
inverse(multiply(inverse(multiply(inverse(X_19),identity)),identity)) = multiply(inverse(X_19),identity),
inference(subst,[],[refute_0_171:[bind(X_18,$fot(multiply(inverse(X_19),identity)))]]) ).
cnf(refute_0_173,plain,
inverse(multiply(inverse(X_19),identity)) = X_19,
inference(subst,[],[refute_0_171:[bind(X_18,$fot(X_19))]]) ).
cnf(refute_0_174,plain,
( inverse(multiply(inverse(X_19),identity)) != X_19
| inverse(multiply(inverse(multiply(inverse(X_19),identity)),identity)) != multiply(inverse(X_19),identity)
| inverse(multiply(X_19,identity)) = multiply(inverse(X_19),identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(X_19),identity)),identity)),multiply(inverse(X_19),identity)) ),[0,0,0],$fot(X_19)]]) ).
cnf(refute_0_175,plain,
( inverse(multiply(inverse(multiply(inverse(X_19),identity)),identity)) != multiply(inverse(X_19),identity)
| inverse(multiply(X_19,identity)) = multiply(inverse(X_19),identity) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_19),identity)),X_19) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
inverse(multiply(X_19,identity)) = multiply(inverse(X_19),identity),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(X_19),identity)),identity)),multiply(inverse(X_19),identity)) )],[refute_0_172,refute_0_175]) ).
cnf(refute_0_177,plain,
( inverse(multiply(X_19,identity)) != multiply(inverse(X_19),identity)
| multiply(inverse(X_19),identity) = inverse(multiply(X_19,identity)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(multiply(X_19,identity)))),bind(Y,$fot(multiply(inverse(X_19),identity)))]]) ).
cnf(refute_0_178,plain,
multiply(inverse(X_19),identity) = inverse(multiply(X_19,identity)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_19,identity)),multiply(inverse(X_19),identity)) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
multiply(inverse(X_18),identity) = inverse(multiply(X_18,identity)),
inference(subst,[],[refute_0_178:[bind(X_19,$fot(X_18))]]) ).
cnf(refute_0_180,plain,
inverse(multiply(inverse(X_18),identity)) = inverse(multiply(inverse(X_18),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(X_18),identity)))]]) ).
cnf(refute_0_181,plain,
( multiply(inverse(X_18),identity) != inverse(multiply(X_18,identity))
| inverse(multiply(inverse(X_18),identity)) != inverse(multiply(inverse(X_18),identity))
| inverse(multiply(inverse(X_18),identity)) = inverse(inverse(multiply(X_18,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_18),identity)),inverse(multiply(inverse(X_18),identity))) ),[1,0],$fot(inverse(multiply(X_18,identity)))]]) ).
cnf(refute_0_182,plain,
( multiply(inverse(X_18),identity) != inverse(multiply(X_18,identity))
| inverse(multiply(inverse(X_18),identity)) = inverse(inverse(multiply(X_18,identity))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_18),identity)),inverse(multiply(inverse(X_18),identity))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
inverse(multiply(inverse(X_18),identity)) = inverse(inverse(multiply(X_18,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_18),identity),inverse(multiply(X_18,identity))) )],[refute_0_179,refute_0_182]) ).
cnf(refute_0_184,plain,
( inverse(multiply(inverse(X_18),identity)) != X_18
| inverse(multiply(inverse(X_18),identity)) != inverse(inverse(multiply(X_18,identity)))
| inverse(inverse(multiply(X_18,identity))) = X_18 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_18),identity)),X_18) ),[0],$fot(inverse(inverse(multiply(X_18,identity))))]]) ).
cnf(refute_0_185,plain,
( inverse(multiply(inverse(X_18),identity)) != X_18
| inverse(inverse(multiply(X_18,identity))) = X_18 ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_18),identity)),inverse(inverse(multiply(X_18,identity)))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
inverse(inverse(multiply(X_18,identity))) = X_18,
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_18),identity)),X_18) )],[refute_0_171,refute_0_185]) ).
cnf(refute_0_187,plain,
( divide(inverse(inverse(multiply(X_18,identity))),divide(multiply(X_18,identity),X_24)) != X_24
| inverse(inverse(multiply(X_18,identity))) != X_18
| divide(X_18,divide(multiply(X_18,identity),X_24)) = X_24 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(multiply(X_18,identity))),divide(multiply(X_18,identity),X_24)),X_24) ),[0,0],$fot(X_18)]]) ).
cnf(refute_0_188,plain,
( divide(inverse(inverse(multiply(X_18,identity))),divide(multiply(X_18,identity),X_24)) != X_24
| divide(X_18,divide(multiply(X_18,identity),X_24)) = X_24 ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_18,identity))),X_18) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
divide(X_18,divide(multiply(X_18,identity),X_24)) = X_24,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(X_18,identity))),divide(multiply(X_18,identity),X_24)),X_24) )],[refute_0_148,refute_0_188]) ).
cnf(refute_0_190,plain,
multiply(X_18,identity) = X_18,
inference(subst,[],[refute_0_130:[bind(X_24,$fot(X_18))]]) ).
cnf(refute_0_191,plain,
divide(multiply(X_18,identity),X_24) = divide(multiply(X_18,identity),X_24),
introduced(tautology,[refl,[$fot(divide(multiply(X_18,identity),X_24))]]) ).
cnf(refute_0_192,plain,
( multiply(X_18,identity) != X_18
| divide(multiply(X_18,identity),X_24) != divide(multiply(X_18,identity),X_24)
| divide(multiply(X_18,identity),X_24) = divide(X_18,X_24) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_18,identity),X_24),divide(multiply(X_18,identity),X_24)) ),[1,0],$fot(X_18)]]) ).
cnf(refute_0_193,plain,
( multiply(X_18,identity) != X_18
| divide(multiply(X_18,identity),X_24) = divide(X_18,X_24) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_18,identity),X_24),divide(multiply(X_18,identity),X_24)) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
divide(multiply(X_18,identity),X_24) = divide(X_18,X_24),
inference(resolve,[$cnf( $equal(multiply(X_18,identity),X_18) )],[refute_0_190,refute_0_193]) ).
cnf(refute_0_195,plain,
divide(X_18,divide(multiply(X_18,identity),X_24)) = divide(X_18,divide(multiply(X_18,identity),X_24)),
introduced(tautology,[refl,[$fot(divide(X_18,divide(multiply(X_18,identity),X_24)))]]) ).
cnf(refute_0_196,plain,
( divide(X_18,divide(multiply(X_18,identity),X_24)) != divide(X_18,divide(multiply(X_18,identity),X_24))
| divide(multiply(X_18,identity),X_24) != divide(X_18,X_24)
| divide(X_18,divide(multiply(X_18,identity),X_24)) = divide(X_18,divide(X_18,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_18,divide(multiply(X_18,identity),X_24)),divide(X_18,divide(multiply(X_18,identity),X_24))) ),[1,1],$fot(divide(X_18,X_24))]]) ).
cnf(refute_0_197,plain,
( divide(multiply(X_18,identity),X_24) != divide(X_18,X_24)
| divide(X_18,divide(multiply(X_18,identity),X_24)) = divide(X_18,divide(X_18,X_24)) ),
inference(resolve,[$cnf( $equal(divide(X_18,divide(multiply(X_18,identity),X_24)),divide(X_18,divide(multiply(X_18,identity),X_24))) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
divide(X_18,divide(multiply(X_18,identity),X_24)) = divide(X_18,divide(X_18,X_24)),
inference(resolve,[$cnf( $equal(divide(multiply(X_18,identity),X_24),divide(X_18,X_24)) )],[refute_0_194,refute_0_197]) ).
cnf(refute_0_199,plain,
( divide(X_18,divide(multiply(X_18,identity),X_24)) != X_24
| divide(X_18,divide(multiply(X_18,identity),X_24)) != divide(X_18,divide(X_18,X_24))
| divide(X_18,divide(X_18,X_24)) = X_24 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_18,divide(multiply(X_18,identity),X_24)),X_24) ),[0],$fot(divide(X_18,divide(X_18,X_24)))]]) ).
cnf(refute_0_200,plain,
( divide(X_18,divide(multiply(X_18,identity),X_24)) != X_24
| divide(X_18,divide(X_18,X_24)) = X_24 ),
inference(resolve,[$cnf( $equal(divide(X_18,divide(multiply(X_18,identity),X_24)),divide(X_18,divide(X_18,X_24))) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
divide(X_18,divide(X_18,X_24)) = X_24,
inference(resolve,[$cnf( $equal(divide(X_18,divide(multiply(X_18,identity),X_24)),X_24) )],[refute_0_189,refute_0_200]) ).
cnf(refute_0_202,plain,
divide(X_40,divide(X_40,X_24)) = X_24,
inference(subst,[],[refute_0_201:[bind(X_18,$fot(X_40))]]) ).
cnf(refute_0_203,plain,
( divide(X_40,divide(X_40,X_24)) != X_24
| inverse(divide(divide(X_40,divide(X_40,X_24)),X_40)) != divide(X_40,X_24)
| inverse(divide(X_24,X_40)) = divide(X_40,X_24) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_40,divide(X_40,X_24)),X_40)),divide(X_40,X_24)) ),[0,0,0],$fot(X_24)]]) ).
cnf(refute_0_204,plain,
( inverse(divide(divide(X_40,divide(X_40,X_24)),X_40)) != divide(X_40,X_24)
| inverse(divide(X_24,X_40)) = divide(X_40,X_24) ),
inference(resolve,[$cnf( $equal(divide(X_40,divide(X_40,X_24)),X_24) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
inverse(divide(X_24,X_40)) = divide(X_40,X_24),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_40,divide(X_40,X_24)),X_40)),divide(X_40,X_24)) )],[refute_0_147,refute_0_204]) ).
cnf(refute_0_206,plain,
inverse(divide(divide(X_43,X_24),X_43)) = divide(X_43,divide(X_43,X_24)),
inference(subst,[],[refute_0_205:[bind(X_24,$fot(divide(X_43,X_24))),bind(X_40,$fot(X_43))]]) ).
cnf(refute_0_207,plain,
divide(X_43,divide(X_43,X_24)) = X_24,
inference(subst,[],[refute_0_201:[bind(X_18,$fot(X_43))]]) ).
cnf(refute_0_208,plain,
( divide(X_43,divide(X_43,X_24)) != X_24
| inverse(divide(divide(X_43,X_24),X_43)) != divide(X_43,divide(X_43,X_24))
| inverse(divide(divide(X_43,X_24),X_43)) = X_24 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_43,X_24),X_43)),divide(X_43,divide(X_43,X_24))) ),[1],$fot(X_24)]]) ).
cnf(refute_0_209,plain,
( inverse(divide(divide(X_43,X_24),X_43)) != divide(X_43,divide(X_43,X_24))
| inverse(divide(divide(X_43,X_24),X_43)) = X_24 ),
inference(resolve,[$cnf( $equal(divide(X_43,divide(X_43,X_24)),X_24) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
inverse(divide(divide(X_43,X_24),X_43)) = X_24,
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_43,X_24),X_43)),divide(X_43,divide(X_43,X_24))) )],[refute_0_206,refute_0_209]) ).
cnf(refute_0_211,plain,
multiply(A,divide(X_42,X_43)) = divide(A,inverse(divide(X_42,X_43))),
inference(subst,[],[refute_0_12:[bind(B,$fot(divide(X_42,X_43)))]]) ).
cnf(refute_0_212,plain,
inverse(divide(X_42,X_43)) = divide(X_43,X_42),
inference(subst,[],[refute_0_205:[bind(X_24,$fot(X_42)),bind(X_40,$fot(X_43))]]) ).
cnf(refute_0_213,plain,
( multiply(A,divide(X_42,X_43)) != divide(A,inverse(divide(X_42,X_43)))
| inverse(divide(X_42,X_43)) != divide(X_43,X_42)
| multiply(A,divide(X_42,X_43)) = divide(A,divide(X_43,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,divide(X_42,X_43)),divide(A,inverse(divide(X_42,X_43)))) ),[1,1],$fot(divide(X_43,X_42))]]) ).
cnf(refute_0_214,plain,
( multiply(A,divide(X_42,X_43)) != divide(A,inverse(divide(X_42,X_43)))
| multiply(A,divide(X_42,X_43)) = divide(A,divide(X_43,X_42)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_42,X_43)),divide(X_43,X_42)) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
multiply(A,divide(X_42,X_43)) = divide(A,divide(X_43,X_42)),
inference(resolve,[$cnf( $equal(multiply(A,divide(X_42,X_43)),divide(A,inverse(divide(X_42,X_43)))) )],[refute_0_211,refute_0_214]) ).
cnf(refute_0_216,plain,
( multiply(A,divide(X_42,X_43)) != divide(A,divide(X_43,X_42))
| divide(A,divide(X_43,X_42)) = multiply(A,divide(X_42,X_43)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,divide(X_42,X_43)))),bind(Y,$fot(divide(A,divide(X_43,X_42))))]]) ).
cnf(refute_0_217,plain,
divide(A,divide(X_43,X_42)) = multiply(A,divide(X_42,X_43)),
inference(resolve,[$cnf( $equal(multiply(A,divide(X_42,X_43)),divide(A,divide(X_43,X_42))) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
divide(X_43,divide(X_43,X_24)) = multiply(X_43,divide(X_24,X_43)),
inference(subst,[],[refute_0_217:[bind(A,$fot(X_43)),bind(X_42,$fot(X_24))]]) ).
cnf(refute_0_219,plain,
( divide(X_43,divide(X_43,X_24)) != multiply(X_43,divide(X_24,X_43))
| inverse(divide(divide(X_43,X_24),X_43)) != divide(X_43,divide(X_43,X_24))
| inverse(divide(divide(X_43,X_24),X_43)) = multiply(X_43,divide(X_24,X_43)) ),
inference(subst,[],[refute_0_120:[bind(X,$fot(inverse(divide(divide(X_43,X_24),X_43)))),bind(Y,$fot(divide(X_43,divide(X_43,X_24)))),bind(Z,$fot(multiply(X_43,divide(X_24,X_43))))]]) ).
cnf(refute_0_220,plain,
( divide(X_43,divide(X_43,X_24)) != multiply(X_43,divide(X_24,X_43))
| inverse(divide(divide(X_43,X_24),X_43)) = multiply(X_43,divide(X_24,X_43)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_43,X_24),X_43)),divide(X_43,divide(X_43,X_24))) )],[refute_0_206,refute_0_219]) ).
cnf(refute_0_221,plain,
inverse(divide(divide(X_43,X_24),X_43)) = multiply(X_43,divide(X_24,X_43)),
inference(resolve,[$cnf( $equal(divide(X_43,divide(X_43,X_24)),multiply(X_43,divide(X_24,X_43))) )],[refute_0_218,refute_0_220]) ).
cnf(refute_0_222,plain,
( inverse(divide(divide(X_43,X_24),X_43)) != X_24
| inverse(divide(divide(X_43,X_24),X_43)) != multiply(X_43,divide(X_24,X_43))
| multiply(X_43,divide(X_24,X_43)) = X_24 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_43,X_24),X_43)),X_24) ),[0],$fot(multiply(X_43,divide(X_24,X_43)))]]) ).
cnf(refute_0_223,plain,
( inverse(divide(divide(X_43,X_24),X_43)) != X_24
| multiply(X_43,divide(X_24,X_43)) = X_24 ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_43,X_24),X_43)),multiply(X_43,divide(X_24,X_43))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
multiply(X_43,divide(X_24,X_43)) = X_24,
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_43,X_24),X_43)),X_24) )],[refute_0_210,refute_0_223]) ).
cnf(refute_0_225,plain,
multiply(X_43,divide(multiply(X_49,X_43),X_43)) = multiply(X_49,X_43),
inference(subst,[],[refute_0_224:[bind(X_24,$fot(multiply(X_49,X_43)))]]) ).
cnf(refute_0_226,plain,
multiply(inverse(B),divide(X_46,inverse(B))) = X_46,
inference(subst,[],[refute_0_224:[bind(X_24,$fot(X_46)),bind(X_43,$fot(inverse(B)))]]) ).
cnf(refute_0_227,plain,
multiply(X_46,B) = divide(X_46,inverse(B)),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_46))]]) ).
cnf(refute_0_228,plain,
( multiply(X_46,B) != divide(X_46,inverse(B))
| divide(X_46,inverse(B)) = multiply(X_46,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_46,B))),bind(Y,$fot(divide(X_46,inverse(B))))]]) ).
cnf(refute_0_229,plain,
divide(X_46,inverse(B)) = multiply(X_46,B),
inference(resolve,[$cnf( $equal(multiply(X_46,B),divide(X_46,inverse(B))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
( multiply(inverse(B),divide(X_46,inverse(B))) != X_46
| divide(X_46,inverse(B)) != multiply(X_46,B)
| multiply(inverse(B),multiply(X_46,B)) = X_46 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(B),divide(X_46,inverse(B))),X_46) ),[0,1],$fot(multiply(X_46,B))]]) ).
cnf(refute_0_231,plain,
( multiply(inverse(B),divide(X_46,inverse(B))) != X_46
| multiply(inverse(B),multiply(X_46,B)) = X_46 ),
inference(resolve,[$cnf( $equal(divide(X_46,inverse(B)),multiply(X_46,B)) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
multiply(inverse(B),multiply(X_46,B)) = X_46,
inference(resolve,[$cnf( $equal(multiply(inverse(B),divide(X_46,inverse(B))),X_46) )],[refute_0_226,refute_0_231]) ).
cnf(refute_0_233,plain,
multiply(inverse(B),multiply(X_46,B)) = divide(multiply(X_46,B),B),
inference(subst,[],[refute_0_117:[bind(X_23,$fot(multiply(X_46,B))),bind(X_24,$fot(B))]]) ).
cnf(refute_0_234,plain,
( multiply(inverse(B),multiply(X_46,B)) != X_46
| multiply(inverse(B),multiply(X_46,B)) != divide(multiply(X_46,B),B)
| divide(multiply(X_46,B),B) = X_46 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(B),multiply(X_46,B)),X_46) ),[0],$fot(divide(multiply(X_46,B),B))]]) ).
cnf(refute_0_235,plain,
( multiply(inverse(B),multiply(X_46,B)) != X_46
| divide(multiply(X_46,B),B) = X_46 ),
inference(resolve,[$cnf( $equal(multiply(inverse(B),multiply(X_46,B)),divide(multiply(X_46,B),B)) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
divide(multiply(X_46,B),B) = X_46,
inference(resolve,[$cnf( $equal(multiply(inverse(B),multiply(X_46,B)),X_46) )],[refute_0_232,refute_0_235]) ).
cnf(refute_0_237,plain,
divide(multiply(X_49,X_43),X_43) = X_49,
inference(subst,[],[refute_0_236:[bind(B,$fot(X_43)),bind(X_46,$fot(X_49))]]) ).
cnf(refute_0_238,plain,
( multiply(X_43,divide(multiply(X_49,X_43),X_43)) != multiply(X_49,X_43)
| divide(multiply(X_49,X_43),X_43) != X_49
| multiply(X_43,X_49) = multiply(X_49,X_43) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_43,divide(multiply(X_49,X_43),X_43)),multiply(X_49,X_43)) ),[0,1],$fot(X_49)]]) ).
cnf(refute_0_239,plain,
( multiply(X_43,divide(multiply(X_49,X_43),X_43)) != multiply(X_49,X_43)
| multiply(X_43,X_49) = multiply(X_49,X_43) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_49,X_43),X_43),X_49) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
multiply(X_43,X_49) = multiply(X_49,X_43),
inference(resolve,[$cnf( $equal(multiply(X_43,divide(multiply(X_49,X_43),X_43)),multiply(X_49,X_43)) )],[refute_0_225,refute_0_239]) ).
cnf(refute_0_241,plain,
( multiply(X_43,X_49) != multiply(X_49,X_43)
| multiply(X_49,X_43) = multiply(X_43,X_49) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_43,X_49))),bind(Y,$fot(multiply(X_49,X_43)))]]) ).
cnf(refute_0_242,plain,
multiply(X_49,X_43) = multiply(X_43,X_49),
inference(resolve,[$cnf( $equal(multiply(X_43,X_49),multiply(X_49,X_43)) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_242:[bind(X_43,$fot(c3)),bind(X_49,$fot(multiply(a3,b3)))]]) ).
cnf(refute_0_244,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).
cnf(refute_0_245,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_245,prove_these_axioms_3]) ).
cnf(refute_0_247,plain,
multiply(X_43,divide(multiply(X_76,divide(X_43,multiply(X_76,X_75))),X_43)) = multiply(X_76,divide(X_43,multiply(X_76,X_75))),
inference(subst,[],[refute_0_224:[bind(X_24,$fot(multiply(X_76,divide(X_43,multiply(X_76,X_75)))))]]) ).
cnf(refute_0_248,plain,
divide(inverse(divide(divide(divide(X_7,inverse(B)),X_9),X_7)),X_9) = inverse(B),
inference(subst,[],[refute_0_34:[bind(A,$fot(X_7)),bind(B,$fot(inverse(B))),bind(C,$fot(X_9))]]) ).
cnf(refute_0_249,plain,
multiply(X_7,B) = divide(X_7,inverse(B)),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_7))]]) ).
cnf(refute_0_250,plain,
( multiply(X_7,B) != divide(X_7,inverse(B))
| divide(X_7,inverse(B)) = multiply(X_7,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_7,B))),bind(Y,$fot(divide(X_7,inverse(B))))]]) ).
cnf(refute_0_251,plain,
divide(X_7,inverse(B)) = multiply(X_7,B),
inference(resolve,[$cnf( $equal(multiply(X_7,B),divide(X_7,inverse(B))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
( divide(X_7,inverse(B)) != multiply(X_7,B)
| divide(inverse(divide(divide(divide(X_7,inverse(B)),X_9),X_7)),X_9) != inverse(B)
| divide(inverse(divide(divide(multiply(X_7,B),X_9),X_7)),X_9) = inverse(B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(divide(X_7,inverse(B)),X_9),X_7)),X_9),inverse(B)) ),[0,0,0,0,0],$fot(multiply(X_7,B))]]) ).
cnf(refute_0_253,plain,
( divide(inverse(divide(divide(divide(X_7,inverse(B)),X_9),X_7)),X_9) != inverse(B)
| divide(inverse(divide(divide(multiply(X_7,B),X_9),X_7)),X_9) = inverse(B) ),
inference(resolve,[$cnf( $equal(divide(X_7,inverse(B)),multiply(X_7,B)) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
divide(inverse(divide(divide(multiply(X_7,B),X_9),X_7)),X_9) = inverse(B),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_7,inverse(B)),X_9),X_7)),X_9),inverse(B)) )],[refute_0_248,refute_0_253]) ).
cnf(refute_0_255,plain,
divide(inverse(divide(inverse(X_16),inverse(B))),X_16) = inverse(B),
inference(subst,[],[refute_0_108:[bind(X_8,$fot(inverse(B))),bind(X_9,$fot(X_16))]]) ).
cnf(refute_0_256,plain,
multiply(inverse(X_16),B) = divide(inverse(X_16),inverse(B)),
inference(subst,[],[refute_0_12:[bind(A,$fot(inverse(X_16)))]]) ).
cnf(refute_0_257,plain,
( multiply(inverse(X_16),B) != divide(inverse(X_16),inverse(B))
| divide(inverse(X_16),inverse(B)) = multiply(inverse(X_16),B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_16),B))),bind(Y,$fot(divide(inverse(X_16),inverse(B))))]]) ).
cnf(refute_0_258,plain,
divide(inverse(X_16),inverse(B)) = multiply(inverse(X_16),B),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),B),divide(inverse(X_16),inverse(B))) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
( divide(inverse(X_16),inverse(B)) != multiply(inverse(X_16),B)
| divide(inverse(divide(inverse(X_16),inverse(B))),X_16) != inverse(B)
| divide(inverse(multiply(inverse(X_16),B)),X_16) = inverse(B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(X_16),inverse(B))),X_16),inverse(B)) ),[0,0,0],$fot(multiply(inverse(X_16),B))]]) ).
cnf(refute_0_260,plain,
( divide(inverse(divide(inverse(X_16),inverse(B))),X_16) != inverse(B)
| divide(inverse(multiply(inverse(X_16),B)),X_16) = inverse(B) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_16),inverse(B)),multiply(inverse(X_16),B)) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
divide(inverse(multiply(inverse(X_16),B)),X_16) = inverse(B),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(X_16),inverse(B))),X_16),inverse(B)) )],[refute_0_255,refute_0_260]) ).
cnf(refute_0_262,plain,
multiply(inverse(X_16),B) = divide(B,X_16),
inference(subst,[],[refute_0_117:[bind(X_23,$fot(B)),bind(X_24,$fot(X_16))]]) ).
cnf(refute_0_263,plain,
inverse(multiply(inverse(X_16),B)) = inverse(multiply(inverse(X_16),B)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(X_16),B)))]]) ).
cnf(refute_0_264,plain,
( multiply(inverse(X_16),B) != divide(B,X_16)
| inverse(multiply(inverse(X_16),B)) != inverse(multiply(inverse(X_16),B))
| inverse(multiply(inverse(X_16),B)) = inverse(divide(B,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_16),B)),inverse(multiply(inverse(X_16),B))) ),[1,0],$fot(divide(B,X_16))]]) ).
cnf(refute_0_265,plain,
( multiply(inverse(X_16),B) != divide(B,X_16)
| inverse(multiply(inverse(X_16),B)) = inverse(divide(B,X_16)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_16),B)),inverse(multiply(inverse(X_16),B))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
inverse(multiply(inverse(X_16),B)) = inverse(divide(B,X_16)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),B),divide(B,X_16)) )],[refute_0_262,refute_0_265]) ).
cnf(refute_0_267,plain,
divide(inverse(multiply(inverse(X_16),B)),X_16) = divide(inverse(multiply(inverse(X_16),B)),X_16),
introduced(tautology,[refl,[$fot(divide(inverse(multiply(inverse(X_16),B)),X_16))]]) ).
cnf(refute_0_268,plain,
( divide(inverse(multiply(inverse(X_16),B)),X_16) != divide(inverse(multiply(inverse(X_16),B)),X_16)
| inverse(multiply(inverse(X_16),B)) != inverse(divide(B,X_16))
| divide(inverse(multiply(inverse(X_16),B)),X_16) = divide(inverse(divide(B,X_16)),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(multiply(inverse(X_16),B)),X_16),divide(inverse(multiply(inverse(X_16),B)),X_16)) ),[1,0],$fot(inverse(divide(B,X_16)))]]) ).
cnf(refute_0_269,plain,
( inverse(multiply(inverse(X_16),B)) != inverse(divide(B,X_16))
| divide(inverse(multiply(inverse(X_16),B)),X_16) = divide(inverse(divide(B,X_16)),X_16) ),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(inverse(X_16),B)),X_16),divide(inverse(multiply(inverse(X_16),B)),X_16)) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
divide(inverse(multiply(inverse(X_16),B)),X_16) = divide(inverse(divide(B,X_16)),X_16),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_16),B)),inverse(divide(B,X_16))) )],[refute_0_266,refute_0_269]) ).
cnf(refute_0_271,plain,
( divide(inverse(multiply(inverse(X_16),B)),X_16) != divide(inverse(divide(B,X_16)),X_16)
| divide(inverse(multiply(inverse(X_16),B)),X_16) != inverse(B)
| divide(inverse(divide(B,X_16)),X_16) = inverse(B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(multiply(inverse(X_16),B)),X_16),inverse(B)) ),[0],$fot(divide(inverse(divide(B,X_16)),X_16))]]) ).
cnf(refute_0_272,plain,
( divide(inverse(multiply(inverse(X_16),B)),X_16) != inverse(B)
| divide(inverse(divide(B,X_16)),X_16) = inverse(B) ),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(inverse(X_16),B)),X_16),divide(inverse(divide(B,X_16)),X_16)) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
divide(inverse(divide(B,X_16)),X_16) = inverse(B),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(inverse(X_16),B)),X_16),inverse(B)) )],[refute_0_261,refute_0_272]) ).
cnf(refute_0_274,plain,
divide(inverse(divide(inverse(divide(inverse(X_30),X_8)),X_30)),X_30) = inverse(inverse(divide(inverse(X_30),X_8))),
inference(subst,[],[refute_0_273:[bind(B,$fot(inverse(divide(inverse(X_30),X_8)))),bind(X_16,$fot(X_30))]]) ).
cnf(refute_0_275,plain,
divide(inverse(divide(inverse(X_30),X_8)),X_30) = X_8,
inference(subst,[],[refute_0_108:[bind(X_9,$fot(X_30))]]) ).
cnf(refute_0_276,plain,
( divide(inverse(divide(inverse(X_30),X_8)),X_30) != X_8
| divide(inverse(divide(inverse(divide(inverse(X_30),X_8)),X_30)),X_30) != inverse(inverse(divide(inverse(X_30),X_8)))
| divide(inverse(X_8),X_30) = inverse(inverse(divide(inverse(X_30),X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(divide(inverse(X_30),X_8)),X_30)),X_30),inverse(inverse(divide(inverse(X_30),X_8)))) ),[0,0,0],$fot(X_8)]]) ).
cnf(refute_0_277,plain,
( divide(inverse(divide(inverse(divide(inverse(X_30),X_8)),X_30)),X_30) != inverse(inverse(divide(inverse(X_30),X_8)))
| divide(inverse(X_8),X_30) = inverse(inverse(divide(inverse(X_30),X_8))) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(X_30),X_8)),X_30),X_8) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
divide(inverse(X_8),X_30) = inverse(inverse(divide(inverse(X_30),X_8))),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(divide(inverse(X_30),X_8)),X_30)),X_30),inverse(inverse(divide(inverse(X_30),X_8)))) )],[refute_0_274,refute_0_277]) ).
cnf(refute_0_279,plain,
divide(inverse(inverse(X_24)),divide(X_24,X_24)) = X_24,
inference(subst,[],[refute_0_75:[bind(X_7,$fot(X_24)),bind(X_8,$fot(X_24))]]) ).
cnf(refute_0_280,plain,
identity = divide(X_24,X_24),
inference(subst,[],[identity:[bind(A,$fot(X_24))]]) ).
cnf(refute_0_281,plain,
( identity != divide(X_24,X_24)
| divide(X_24,X_24) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(divide(X_24,X_24)))]]) ).
cnf(refute_0_282,plain,
divide(X_24,X_24) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_24,X_24)) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
( divide(X_24,X_24) != identity
| divide(inverse(inverse(X_24)),divide(X_24,X_24)) != X_24
| divide(inverse(inverse(X_24)),identity) = X_24 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_24)),divide(X_24,X_24)),X_24) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_284,plain,
( divide(inverse(inverse(X_24)),divide(X_24,X_24)) != X_24
| divide(inverse(inverse(X_24)),identity) = X_24 ),
inference(resolve,[$cnf( $equal(divide(X_24,X_24),identity) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
divide(inverse(inverse(X_24)),identity) = X_24,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_24)),divide(X_24,X_24)),X_24) )],[refute_0_279,refute_0_284]) ).
cnf(refute_0_286,plain,
multiply(inverse(inverse(X_24)),identity) = inverse(inverse(X_24)),
inference(subst,[],[refute_0_130:[bind(X_24,$fot(inverse(inverse(X_24))))]]) ).
cnf(refute_0_287,plain,
divide(inverse(inverse(X_24)),identity) = multiply(inverse(inverse(X_24)),identity),
inference(subst,[],[refute_0_40:[bind(X_2,$fot(inverse(inverse(X_24))))]]) ).
cnf(refute_0_288,plain,
( multiply(inverse(inverse(X_24)),identity) != inverse(inverse(X_24))
| divide(inverse(inverse(X_24)),identity) != multiply(inverse(inverse(X_24)),identity)
| divide(inverse(inverse(X_24)),identity) = inverse(inverse(X_24)) ),
inference(subst,[],[refute_0_120:[bind(X,$fot(divide(inverse(inverse(X_24)),identity))),bind(Y,$fot(multiply(inverse(inverse(X_24)),identity))),bind(Z,$fot(inverse(inverse(X_24))))]]) ).
cnf(refute_0_289,plain,
( multiply(inverse(inverse(X_24)),identity) != inverse(inverse(X_24))
| divide(inverse(inverse(X_24)),identity) = inverse(inverse(X_24)) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_24)),identity),multiply(inverse(inverse(X_24)),identity)) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
divide(inverse(inverse(X_24)),identity) = inverse(inverse(X_24)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_24)),identity),inverse(inverse(X_24))) )],[refute_0_286,refute_0_289]) ).
cnf(refute_0_291,plain,
( divide(inverse(inverse(X_24)),identity) != X_24
| divide(inverse(inverse(X_24)),identity) != inverse(inverse(X_24))
| inverse(inverse(X_24)) = X_24 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_24)),identity),X_24) ),[0],$fot(inverse(inverse(X_24)))]]) ).
cnf(refute_0_292,plain,
( divide(inverse(inverse(X_24)),identity) != X_24
| inverse(inverse(X_24)) = X_24 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_24)),identity),inverse(inverse(X_24))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
inverse(inverse(X_24)) = X_24,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_24)),identity),X_24) )],[refute_0_285,refute_0_292]) ).
cnf(refute_0_294,plain,
inverse(inverse(divide(inverse(X_30),X_8))) = divide(inverse(X_30),X_8),
inference(subst,[],[refute_0_293:[bind(X_24,$fot(divide(inverse(X_30),X_8)))]]) ).
cnf(refute_0_295,plain,
( divide(inverse(X_8),X_30) != inverse(inverse(divide(inverse(X_30),X_8)))
| inverse(inverse(divide(inverse(X_30),X_8))) != divide(inverse(X_30),X_8)
| divide(inverse(X_8),X_30) = divide(inverse(X_30),X_8) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(inverse(X_8),X_30),divide(inverse(X_30),X_8)) ),[0],$fot(inverse(inverse(divide(inverse(X_30),X_8))))]]) ).
cnf(refute_0_296,plain,
( divide(inverse(X_8),X_30) != inverse(inverse(divide(inverse(X_30),X_8)))
| divide(inverse(X_8),X_30) = divide(inverse(X_30),X_8) ),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(inverse(X_30),X_8))),divide(inverse(X_30),X_8)) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
divide(inverse(X_8),X_30) = divide(inverse(X_30),X_8),
inference(resolve,[$cnf( $equal(divide(inverse(X_8),X_30),inverse(inverse(divide(inverse(X_30),X_8)))) )],[refute_0_278,refute_0_296]) ).
cnf(refute_0_298,plain,
( divide(inverse(X_8),X_30) != divide(inverse(X_30),X_8)
| divide(inverse(X_30),X_8) = divide(inverse(X_8),X_30) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(divide(inverse(X_8),X_30))),bind(Y,$fot(divide(inverse(X_30),X_8)))]]) ).
cnf(refute_0_299,plain,
divide(inverse(X_30),X_8) = divide(inverse(X_8),X_30),
inference(resolve,[$cnf( $equal(divide(inverse(X_8),X_30),divide(inverse(X_30),X_8)) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
divide(inverse(divide(divide(multiply(X_7,B),X_9),X_7)),X_9) = divide(inverse(X_9),divide(divide(multiply(X_7,B),X_9),X_7)),
inference(subst,[],[refute_0_299:[bind(X_30,$fot(divide(divide(multiply(X_7,B),X_9),X_7))),bind(X_8,$fot(X_9))]]) ).
cnf(refute_0_301,plain,
( divide(inverse(divide(divide(multiply(X_7,B),X_9),X_7)),X_9) != divide(inverse(X_9),divide(divide(multiply(X_7,B),X_9),X_7))
| divide(inverse(divide(divide(multiply(X_7,B),X_9),X_7)),X_9) != inverse(B)
| divide(inverse(X_9),divide(divide(multiply(X_7,B),X_9),X_7)) = inverse(B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(multiply(X_7,B),X_9),X_7)),X_9),inverse(B)) ),[0],$fot(divide(inverse(X_9),divide(divide(multiply(X_7,B),X_9),X_7)))]]) ).
cnf(refute_0_302,plain,
( divide(inverse(divide(divide(multiply(X_7,B),X_9),X_7)),X_9) != inverse(B)
| divide(inverse(X_9),divide(divide(multiply(X_7,B),X_9),X_7)) = inverse(B) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(multiply(X_7,B),X_9),X_7)),X_9),divide(inverse(X_9),divide(divide(multiply(X_7,B),X_9),X_7))) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
divide(inverse(X_9),divide(divide(multiply(X_7,B),X_9),X_7)) = inverse(B),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(multiply(X_7,B),X_9),X_7)),X_9),inverse(B)) )],[refute_0_254,refute_0_302]) ).
cnf(refute_0_304,plain,
inverse(divide(X_42,inverse(B))) = divide(inverse(B),X_42),
inference(subst,[],[refute_0_205:[bind(X_24,$fot(X_42)),bind(X_40,$fot(inverse(B)))]]) ).
cnf(refute_0_305,plain,
multiply(X_42,B) = divide(X_42,inverse(B)),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_42))]]) ).
cnf(refute_0_306,plain,
( multiply(X_42,B) != divide(X_42,inverse(B))
| divide(X_42,inverse(B)) = multiply(X_42,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_42,B))),bind(Y,$fot(divide(X_42,inverse(B))))]]) ).
cnf(refute_0_307,plain,
divide(X_42,inverse(B)) = multiply(X_42,B),
inference(resolve,[$cnf( $equal(multiply(X_42,B),divide(X_42,inverse(B))) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
( divide(X_42,inverse(B)) != multiply(X_42,B)
| inverse(divide(X_42,inverse(B))) != divide(inverse(B),X_42)
| inverse(multiply(X_42,B)) = divide(inverse(B),X_42) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_42,inverse(B))),divide(inverse(B),X_42)) ),[0,0],$fot(multiply(X_42,B))]]) ).
cnf(refute_0_309,plain,
( inverse(divide(X_42,inverse(B))) != divide(inverse(B),X_42)
| inverse(multiply(X_42,B)) = divide(inverse(B),X_42) ),
inference(resolve,[$cnf( $equal(divide(X_42,inverse(B)),multiply(X_42,B)) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
inverse(multiply(X_42,B)) = divide(inverse(B),X_42),
inference(resolve,[$cnf( $equal(inverse(divide(X_42,inverse(B))),divide(inverse(B),X_42)) )],[refute_0_304,refute_0_309]) ).
cnf(refute_0_311,plain,
( inverse(multiply(X_42,B)) != divide(inverse(B),X_42)
| divide(inverse(B),X_42) = inverse(multiply(X_42,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(multiply(X_42,B)))),bind(Y,$fot(divide(inverse(B),X_42)))]]) ).
cnf(refute_0_312,plain,
divide(inverse(B),X_42) = inverse(multiply(X_42,B)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_42,B)),divide(inverse(B),X_42)) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
divide(inverse(X_9),divide(divide(multiply(X_7,B),X_9),X_7)) = inverse(multiply(divide(divide(multiply(X_7,B),X_9),X_7),X_9)),
inference(subst,[],[refute_0_312:[bind(B,$fot(X_9)),bind(X_42,$fot(divide(divide(multiply(X_7,B),X_9),X_7)))]]) ).
cnf(refute_0_314,plain,
( divide(inverse(X_9),divide(divide(multiply(X_7,B),X_9),X_7)) != inverse(B)
| divide(inverse(X_9),divide(divide(multiply(X_7,B),X_9),X_7)) != inverse(multiply(divide(divide(multiply(X_7,B),X_9),X_7),X_9))
| inverse(multiply(divide(divide(multiply(X_7,B),X_9),X_7),X_9)) = inverse(B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_9),divide(divide(multiply(X_7,B),X_9),X_7)),inverse(B)) ),[0],$fot(inverse(multiply(divide(divide(multiply(X_7,B),X_9),X_7),X_9)))]]) ).
cnf(refute_0_315,plain,
( divide(inverse(X_9),divide(divide(multiply(X_7,B),X_9),X_7)) != inverse(B)
| inverse(multiply(divide(divide(multiply(X_7,B),X_9),X_7),X_9)) = inverse(B) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_9),divide(divide(multiply(X_7,B),X_9),X_7)),inverse(multiply(divide(divide(multiply(X_7,B),X_9),X_7),X_9))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
inverse(multiply(divide(divide(multiply(X_7,B),X_9),X_7),X_9)) = inverse(B),
inference(resolve,[$cnf( $equal(divide(inverse(X_9),divide(divide(multiply(X_7,B),X_9),X_7)),inverse(B)) )],[refute_0_303,refute_0_315]) ).
cnf(refute_0_317,plain,
divide(inverse(X_8),X_30) = inverse(multiply(X_30,X_8)),
inference(subst,[],[refute_0_312:[bind(B,$fot(X_8)),bind(X_42,$fot(X_30))]]) ).
cnf(refute_0_318,plain,
( divide(inverse(X_8),X_30) != divide(inverse(X_30),X_8)
| divide(inverse(X_8),X_30) != inverse(multiply(X_30,X_8))
| inverse(multiply(X_30,X_8)) = divide(inverse(X_30),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_8),X_30),divide(inverse(X_30),X_8)) ),[0],$fot(inverse(multiply(X_30,X_8)))]]) ).
cnf(refute_0_319,plain,
( divide(inverse(X_8),X_30) != divide(inverse(X_30),X_8)
| inverse(multiply(X_30,X_8)) = divide(inverse(X_30),X_8) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_8),X_30),inverse(multiply(X_30,X_8))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
divide(inverse(X_30),X_8) = inverse(multiply(X_8,X_30)),
inference(subst,[],[refute_0_312:[bind(B,$fot(X_30)),bind(X_42,$fot(X_8))]]) ).
cnf(refute_0_321,plain,
( divide(inverse(X_30),X_8) != inverse(multiply(X_8,X_30))
| inverse(multiply(X_30,X_8)) != divide(inverse(X_30),X_8)
| inverse(multiply(X_30,X_8)) = inverse(multiply(X_8,X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_30,X_8)),divide(inverse(X_30),X_8)) ),[1],$fot(inverse(multiply(X_8,X_30)))]]) ).
cnf(refute_0_322,plain,
( inverse(multiply(X_30,X_8)) != divide(inverse(X_30),X_8)
| inverse(multiply(X_30,X_8)) = inverse(multiply(X_8,X_30)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_30),X_8),inverse(multiply(X_8,X_30))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
( divide(inverse(X_8),X_30) != divide(inverse(X_30),X_8)
| inverse(multiply(X_30,X_8)) = inverse(multiply(X_8,X_30)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_30,X_8)),divide(inverse(X_30),X_8)) )],[refute_0_319,refute_0_322]) ).
cnf(refute_0_324,plain,
inverse(multiply(X_30,X_8)) = inverse(multiply(X_8,X_30)),
inference(resolve,[$cnf( $equal(divide(inverse(X_8),X_30),divide(inverse(X_30),X_8)) )],[refute_0_297,refute_0_323]) ).
cnf(refute_0_325,plain,
( inverse(multiply(X_30,X_8)) != inverse(multiply(X_8,X_30))
| inverse(multiply(X_8,X_30)) = inverse(multiply(X_30,X_8)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(multiply(X_30,X_8)))),bind(Y,$fot(inverse(multiply(X_8,X_30))))]]) ).
cnf(refute_0_326,plain,
inverse(multiply(X_8,X_30)) = inverse(multiply(X_30,X_8)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_30,X_8)),inverse(multiply(X_8,X_30))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
inverse(multiply(divide(divide(multiply(X_7,B),X_9),X_7),X_9)) = inverse(multiply(X_9,divide(divide(multiply(X_7,B),X_9),X_7))),
inference(subst,[],[refute_0_326:[bind(X_30,$fot(X_9)),bind(X_8,$fot(divide(divide(multiply(X_7,B),X_9),X_7)))]]) ).
cnf(refute_0_328,plain,
( inverse(multiply(divide(divide(multiply(X_7,B),X_9),X_7),X_9)) != inverse(B)
| inverse(multiply(divide(divide(multiply(X_7,B),X_9),X_7),X_9)) != inverse(multiply(X_9,divide(divide(multiply(X_7,B),X_9),X_7)))
| inverse(multiply(X_9,divide(divide(multiply(X_7,B),X_9),X_7))) = inverse(B) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(divide(multiply(X_7,B),X_9),X_7),X_9)),inverse(B)) ),[0],$fot(inverse(multiply(X_9,divide(divide(multiply(X_7,B),X_9),X_7))))]]) ).
cnf(refute_0_329,plain,
( inverse(multiply(divide(divide(multiply(X_7,B),X_9),X_7),X_9)) != inverse(B)
| inverse(multiply(X_9,divide(divide(multiply(X_7,B),X_9),X_7))) = inverse(B) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(divide(multiply(X_7,B),X_9),X_7),X_9)),inverse(multiply(X_9,divide(divide(multiply(X_7,B),X_9),X_7)))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
inverse(multiply(X_9,divide(divide(multiply(X_7,B),X_9),X_7))) = inverse(B),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(divide(multiply(X_7,B),X_9),X_7),X_9)),inverse(B)) )],[refute_0_316,refute_0_329]) ).
cnf(refute_0_331,plain,
divide(X_7,divide(multiply(X_7,B),X_9)) = multiply(X_7,divide(X_9,multiply(X_7,B))),
inference(subst,[],[refute_0_217:[bind(A,$fot(X_7)),bind(X_42,$fot(X_9)),bind(X_43,$fot(multiply(X_7,B)))]]) ).
cnf(refute_0_332,plain,
divide(divide(X_7,divide(multiply(X_7,B),X_9)),X_9) = divide(divide(X_7,divide(multiply(X_7,B),X_9)),X_9),
introduced(tautology,[refl,[$fot(divide(divide(X_7,divide(multiply(X_7,B),X_9)),X_9))]]) ).
cnf(refute_0_333,plain,
( divide(X_7,divide(multiply(X_7,B),X_9)) != multiply(X_7,divide(X_9,multiply(X_7,B)))
| divide(divide(X_7,divide(multiply(X_7,B),X_9)),X_9) != divide(divide(X_7,divide(multiply(X_7,B),X_9)),X_9)
| divide(divide(X_7,divide(multiply(X_7,B),X_9)),X_9) = divide(multiply(X_7,divide(X_9,multiply(X_7,B))),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_7,divide(multiply(X_7,B),X_9)),X_9),divide(divide(X_7,divide(multiply(X_7,B),X_9)),X_9)) ),[1,0],$fot(multiply(X_7,divide(X_9,multiply(X_7,B))))]]) ).
cnf(refute_0_334,plain,
( divide(X_7,divide(multiply(X_7,B),X_9)) != multiply(X_7,divide(X_9,multiply(X_7,B)))
| divide(divide(X_7,divide(multiply(X_7,B),X_9)),X_9) = divide(multiply(X_7,divide(X_9,multiply(X_7,B))),X_9) ),
inference(resolve,[$cnf( $equal(divide(divide(X_7,divide(multiply(X_7,B),X_9)),X_9),divide(divide(X_7,divide(multiply(X_7,B),X_9)),X_9)) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
divide(divide(X_7,divide(multiply(X_7,B),X_9)),X_9) = divide(multiply(X_7,divide(X_9,multiply(X_7,B))),X_9),
inference(resolve,[$cnf( $equal(divide(X_7,divide(multiply(X_7,B),X_9)),multiply(X_7,divide(X_9,multiply(X_7,B)))) )],[refute_0_331,refute_0_334]) ).
cnf(refute_0_336,plain,
inverse(multiply(X_45,divide(X_24,X_40))) = divide(inverse(divide(X_24,X_40)),X_45),
inference(subst,[],[refute_0_310:[bind(B,$fot(divide(X_24,X_40))),bind(X_42,$fot(X_45))]]) ).
cnf(refute_0_337,plain,
( inverse(multiply(X_45,divide(X_24,X_40))) != divide(inverse(divide(X_24,X_40)),X_45)
| inverse(divide(X_24,X_40)) != divide(X_40,X_24)
| inverse(multiply(X_45,divide(X_24,X_40))) = divide(divide(X_40,X_24),X_45) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_45,divide(X_24,X_40))),divide(inverse(divide(X_24,X_40)),X_45)) ),[1,0],$fot(divide(X_40,X_24))]]) ).
cnf(refute_0_338,plain,
( inverse(multiply(X_45,divide(X_24,X_40))) != divide(inverse(divide(X_24,X_40)),X_45)
| inverse(multiply(X_45,divide(X_24,X_40))) = divide(divide(X_40,X_24),X_45) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_24,X_40)),divide(X_40,X_24)) )],[refute_0_205,refute_0_337]) ).
cnf(refute_0_339,plain,
inverse(multiply(X_45,divide(X_24,X_40))) = divide(divide(X_40,X_24),X_45),
inference(resolve,[$cnf( $equal(inverse(multiply(X_45,divide(X_24,X_40))),divide(inverse(divide(X_24,X_40)),X_45)) )],[refute_0_336,refute_0_338]) ).
cnf(refute_0_340,plain,
inverse(multiply(X_9,divide(divide(multiply(X_7,B),X_9),X_7))) = divide(divide(X_7,divide(multiply(X_7,B),X_9)),X_9),
inference(subst,[],[refute_0_339:[bind(X_24,$fot(divide(multiply(X_7,B),X_9))),bind(X_40,$fot(X_7)),bind(X_45,$fot(X_9))]]) ).
cnf(refute_0_341,plain,
( divide(divide(X_7,divide(multiply(X_7,B),X_9)),X_9) != divide(multiply(X_7,divide(X_9,multiply(X_7,B))),X_9)
| inverse(multiply(X_9,divide(divide(multiply(X_7,B),X_9),X_7))) != divide(divide(X_7,divide(multiply(X_7,B),X_9)),X_9)
| inverse(multiply(X_9,divide(divide(multiply(X_7,B),X_9),X_7))) = divide(multiply(X_7,divide(X_9,multiply(X_7,B))),X_9) ),
inference(subst,[],[refute_0_120:[bind(X,$fot(inverse(multiply(X_9,divide(divide(multiply(X_7,B),X_9),X_7))))),bind(Y,$fot(divide(divide(X_7,divide(multiply(X_7,B),X_9)),X_9))),bind(Z,$fot(divide(multiply(X_7,divide(X_9,multiply(X_7,B))),X_9)))]]) ).
cnf(refute_0_342,plain,
( divide(divide(X_7,divide(multiply(X_7,B),X_9)),X_9) != divide(multiply(X_7,divide(X_9,multiply(X_7,B))),X_9)
| inverse(multiply(X_9,divide(divide(multiply(X_7,B),X_9),X_7))) = divide(multiply(X_7,divide(X_9,multiply(X_7,B))),X_9) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_9,divide(divide(multiply(X_7,B),X_9),X_7))),divide(divide(X_7,divide(multiply(X_7,B),X_9)),X_9)) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
inverse(multiply(X_9,divide(divide(multiply(X_7,B),X_9),X_7))) = divide(multiply(X_7,divide(X_9,multiply(X_7,B))),X_9),
inference(resolve,[$cnf( $equal(divide(divide(X_7,divide(multiply(X_7,B),X_9)),X_9),divide(multiply(X_7,divide(X_9,multiply(X_7,B))),X_9)) )],[refute_0_335,refute_0_342]) ).
cnf(refute_0_344,plain,
( inverse(multiply(X_9,divide(divide(multiply(X_7,B),X_9),X_7))) != divide(multiply(X_7,divide(X_9,multiply(X_7,B))),X_9)
| inverse(multiply(X_9,divide(divide(multiply(X_7,B),X_9),X_7))) != inverse(B)
| divide(multiply(X_7,divide(X_9,multiply(X_7,B))),X_9) = inverse(B) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_9,divide(divide(multiply(X_7,B),X_9),X_7))),inverse(B)) ),[0],$fot(divide(multiply(X_7,divide(X_9,multiply(X_7,B))),X_9))]]) ).
cnf(refute_0_345,plain,
( inverse(multiply(X_9,divide(divide(multiply(X_7,B),X_9),X_7))) != inverse(B)
| divide(multiply(X_7,divide(X_9,multiply(X_7,B))),X_9) = inverse(B) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_9,divide(divide(multiply(X_7,B),X_9),X_7))),divide(multiply(X_7,divide(X_9,multiply(X_7,B))),X_9)) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
divide(multiply(X_7,divide(X_9,multiply(X_7,B))),X_9) = inverse(B),
inference(resolve,[$cnf( $equal(inverse(multiply(X_9,divide(divide(multiply(X_7,B),X_9),X_7))),inverse(B)) )],[refute_0_330,refute_0_345]) ).
cnf(refute_0_347,plain,
divide(multiply(X_76,divide(X_43,multiply(X_76,X_75))),X_43) = inverse(X_75),
inference(subst,[],[refute_0_346:[bind(B,$fot(X_75)),bind(X_7,$fot(X_76)),bind(X_9,$fot(X_43))]]) ).
cnf(refute_0_348,plain,
( multiply(X_43,divide(multiply(X_76,divide(X_43,multiply(X_76,X_75))),X_43)) != multiply(X_76,divide(X_43,multiply(X_76,X_75)))
| divide(multiply(X_76,divide(X_43,multiply(X_76,X_75))),X_43) != inverse(X_75)
| multiply(X_43,inverse(X_75)) = multiply(X_76,divide(X_43,multiply(X_76,X_75))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_43,divide(multiply(X_76,divide(X_43,multiply(X_76,X_75))),X_43)),multiply(X_76,divide(X_43,multiply(X_76,X_75)))) ),[0,1],$fot(inverse(X_75))]]) ).
cnf(refute_0_349,plain,
( multiply(X_43,divide(multiply(X_76,divide(X_43,multiply(X_76,X_75))),X_43)) != multiply(X_76,divide(X_43,multiply(X_76,X_75)))
| multiply(X_43,inverse(X_75)) = multiply(X_76,divide(X_43,multiply(X_76,X_75))) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_76,divide(X_43,multiply(X_76,X_75))),X_43),inverse(X_75)) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
multiply(X_43,inverse(X_75)) = multiply(X_76,divide(X_43,multiply(X_76,X_75))),
inference(resolve,[$cnf( $equal(multiply(X_43,divide(multiply(X_76,divide(X_43,multiply(X_76,X_75))),X_43)),multiply(X_76,divide(X_43,multiply(X_76,X_75)))) )],[refute_0_247,refute_0_349]) ).
cnf(refute_0_351,plain,
multiply(A,multiply(inverse(X_19),identity)) = divide(A,inverse(multiply(inverse(X_19),identity))),
inference(subst,[],[refute_0_12:[bind(B,$fot(multiply(inverse(X_19),identity)))]]) ).
cnf(refute_0_352,plain,
( multiply(A,multiply(inverse(X_19),identity)) != divide(A,inverse(multiply(inverse(X_19),identity)))
| inverse(multiply(inverse(X_19),identity)) != X_19
| multiply(A,multiply(inverse(X_19),identity)) = divide(A,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,multiply(inverse(X_19),identity)),divide(A,inverse(multiply(inverse(X_19),identity)))) ),[1,1],$fot(X_19)]]) ).
cnf(refute_0_353,plain,
( multiply(A,multiply(inverse(X_19),identity)) != divide(A,inverse(multiply(inverse(X_19),identity)))
| multiply(A,multiply(inverse(X_19),identity)) = divide(A,X_19) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_19),identity)),X_19) )],[refute_0_173,refute_0_352]) ).
cnf(refute_0_354,plain,
multiply(A,multiply(inverse(X_19),identity)) = divide(A,X_19),
inference(resolve,[$cnf( $equal(multiply(A,multiply(inverse(X_19),identity)),divide(A,inverse(multiply(inverse(X_19),identity)))) )],[refute_0_351,refute_0_353]) ).
cnf(refute_0_355,plain,
multiply(A,multiply(inverse(X_19),identity)) = multiply(A,multiply(inverse(X_19),identity)),
introduced(tautology,[refl,[$fot(multiply(A,multiply(inverse(X_19),identity)))]]) ).
cnf(refute_0_356,plain,
( multiply(A,multiply(inverse(X_19),identity)) != multiply(A,multiply(inverse(X_19),identity))
| multiply(inverse(X_19),identity) != inverse(multiply(X_19,identity))
| multiply(A,multiply(inverse(X_19),identity)) = multiply(A,inverse(multiply(X_19,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,multiply(inverse(X_19),identity)),multiply(A,multiply(inverse(X_19),identity))) ),[1,1],$fot(inverse(multiply(X_19,identity)))]]) ).
cnf(refute_0_357,plain,
( multiply(inverse(X_19),identity) != inverse(multiply(X_19,identity))
| multiply(A,multiply(inverse(X_19),identity)) = multiply(A,inverse(multiply(X_19,identity))) ),
inference(resolve,[$cnf( $equal(multiply(A,multiply(inverse(X_19),identity)),multiply(A,multiply(inverse(X_19),identity))) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
multiply(A,multiply(inverse(X_19),identity)) = multiply(A,inverse(multiply(X_19,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_19),identity),inverse(multiply(X_19,identity))) )],[refute_0_178,refute_0_357]) ).
cnf(refute_0_359,plain,
( multiply(A,multiply(inverse(X_19),identity)) != multiply(A,inverse(multiply(X_19,identity)))
| multiply(A,multiply(inverse(X_19),identity)) != divide(A,X_19)
| multiply(A,inverse(multiply(X_19,identity))) = divide(A,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,multiply(inverse(X_19),identity)),divide(A,X_19)) ),[0],$fot(multiply(A,inverse(multiply(X_19,identity))))]]) ).
cnf(refute_0_360,plain,
( multiply(A,multiply(inverse(X_19),identity)) != divide(A,X_19)
| multiply(A,inverse(multiply(X_19,identity))) = divide(A,X_19) ),
inference(resolve,[$cnf( $equal(multiply(A,multiply(inverse(X_19),identity)),multiply(A,inverse(multiply(X_19,identity)))) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
multiply(A,inverse(multiply(X_19,identity))) = divide(A,X_19),
inference(resolve,[$cnf( $equal(multiply(A,multiply(inverse(X_19),identity)),divide(A,X_19)) )],[refute_0_354,refute_0_360]) ).
cnf(refute_0_362,plain,
multiply(X_19,identity) = X_19,
inference(subst,[],[refute_0_130:[bind(X_24,$fot(X_19))]]) ).
cnf(refute_0_363,plain,
inverse(multiply(X_19,identity)) = inverse(multiply(X_19,identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(X_19,identity)))]]) ).
cnf(refute_0_364,plain,
( multiply(X_19,identity) != X_19
| inverse(multiply(X_19,identity)) != inverse(multiply(X_19,identity))
| inverse(multiply(X_19,identity)) = inverse(X_19) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_19,identity)),inverse(multiply(X_19,identity))) ),[1,0],$fot(X_19)]]) ).
cnf(refute_0_365,plain,
( multiply(X_19,identity) != X_19
| inverse(multiply(X_19,identity)) = inverse(X_19) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_19,identity)),inverse(multiply(X_19,identity))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
inverse(multiply(X_19,identity)) = inverse(X_19),
inference(resolve,[$cnf( $equal(multiply(X_19,identity),X_19) )],[refute_0_362,refute_0_365]) ).
cnf(refute_0_367,plain,
multiply(A,inverse(multiply(X_19,identity))) = multiply(A,inverse(multiply(X_19,identity))),
introduced(tautology,[refl,[$fot(multiply(A,inverse(multiply(X_19,identity))))]]) ).
cnf(refute_0_368,plain,
( multiply(A,inverse(multiply(X_19,identity))) != multiply(A,inverse(multiply(X_19,identity)))
| inverse(multiply(X_19,identity)) != inverse(X_19)
| multiply(A,inverse(multiply(X_19,identity))) = multiply(A,inverse(X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(multiply(X_19,identity))),multiply(A,inverse(multiply(X_19,identity)))) ),[1,1],$fot(inverse(X_19))]]) ).
cnf(refute_0_369,plain,
( inverse(multiply(X_19,identity)) != inverse(X_19)
| multiply(A,inverse(multiply(X_19,identity))) = multiply(A,inverse(X_19)) ),
inference(resolve,[$cnf( $equal(multiply(A,inverse(multiply(X_19,identity))),multiply(A,inverse(multiply(X_19,identity)))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
multiply(A,inverse(multiply(X_19,identity))) = multiply(A,inverse(X_19)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_19,identity)),inverse(X_19)) )],[refute_0_366,refute_0_369]) ).
cnf(refute_0_371,plain,
( multiply(A,inverse(multiply(X_19,identity))) != multiply(A,inverse(X_19))
| multiply(A,inverse(multiply(X_19,identity))) != divide(A,X_19)
| multiply(A,inverse(X_19)) = divide(A,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(multiply(X_19,identity))),divide(A,X_19)) ),[0],$fot(multiply(A,inverse(X_19)))]]) ).
cnf(refute_0_372,plain,
( multiply(A,inverse(multiply(X_19,identity))) != divide(A,X_19)
| multiply(A,inverse(X_19)) = divide(A,X_19) ),
inference(resolve,[$cnf( $equal(multiply(A,inverse(multiply(X_19,identity))),multiply(A,inverse(X_19))) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
multiply(A,inverse(X_19)) = divide(A,X_19),
inference(resolve,[$cnf( $equal(multiply(A,inverse(multiply(X_19,identity))),divide(A,X_19)) )],[refute_0_361,refute_0_372]) ).
cnf(refute_0_374,plain,
multiply(X_43,inverse(X_75)) = divide(X_43,X_75),
inference(subst,[],[refute_0_373:[bind(A,$fot(X_43)),bind(X_19,$fot(X_75))]]) ).
cnf(refute_0_375,plain,
( multiply(X_43,inverse(X_75)) != multiply(X_76,divide(X_43,multiply(X_76,X_75)))
| multiply(X_43,inverse(X_75)) != divide(X_43,X_75)
| divide(X_43,X_75) = multiply(X_76,divide(X_43,multiply(X_76,X_75))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_43,inverse(X_75)),multiply(X_76,divide(X_43,multiply(X_76,X_75)))) ),[0],$fot(divide(X_43,X_75))]]) ).
cnf(refute_0_376,plain,
( multiply(X_43,inverse(X_75)) != multiply(X_76,divide(X_43,multiply(X_76,X_75)))
| divide(X_43,X_75) = multiply(X_76,divide(X_43,multiply(X_76,X_75))) ),
inference(resolve,[$cnf( $equal(multiply(X_43,inverse(X_75)),divide(X_43,X_75)) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
divide(X_43,X_75) = multiply(X_76,divide(X_43,multiply(X_76,X_75))),
inference(resolve,[$cnf( $equal(multiply(X_43,inverse(X_75)),multiply(X_76,divide(X_43,multiply(X_76,X_75)))) )],[refute_0_350,refute_0_376]) ).
cnf(refute_0_378,plain,
divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))) = multiply(X_113,divide(X_111,multiply(X_113,divide(X_76,multiply(X_41,multiply(X_76,X_113)))))),
inference(subst,[],[refute_0_377:[bind(X_43,$fot(X_111)),bind(X_75,$fot(divide(X_76,multiply(X_41,multiply(X_76,X_113))))),bind(X_76,$fot(X_113))]]) ).
cnf(refute_0_379,plain,
inverse(inverse(divide(divide(X_40,X_41),X_40))) = divide(divide(X_40,X_41),X_40),
inference(subst,[],[refute_0_293:[bind(X_24,$fot(divide(divide(X_40,X_41),X_40)))]]) ).
cnf(refute_0_380,plain,
inverse(divide(divide(X_40,X_41),X_40)) = X_41,
inference(subst,[],[refute_0_146:[bind(X_7,$fot(X_40)),bind(X_8,$fot(X_41))]]) ).
cnf(refute_0_381,plain,
( inverse(divide(divide(X_40,X_41),X_40)) != X_41
| inverse(inverse(divide(divide(X_40,X_41),X_40))) != divide(divide(X_40,X_41),X_40)
| inverse(X_41) = divide(divide(X_40,X_41),X_40) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(divide(X_40,X_41),X_40))),divide(divide(X_40,X_41),X_40)) ),[0,0],$fot(X_41)]]) ).
cnf(refute_0_382,plain,
( inverse(inverse(divide(divide(X_40,X_41),X_40))) != divide(divide(X_40,X_41),X_40)
| inverse(X_41) = divide(divide(X_40,X_41),X_40) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_40,X_41),X_40)),X_41) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
inverse(X_41) = divide(divide(X_40,X_41),X_40),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(divide(X_40,X_41),X_40))),divide(divide(X_40,X_41),X_40)) )],[refute_0_379,refute_0_382]) ).
cnf(refute_0_384,plain,
inverse(X_41) = divide(divide(multiply(X_76,divide(X_41,multiply(X_76,X_75))),X_41),multiply(X_76,divide(X_41,multiply(X_76,X_75)))),
inference(subst,[],[refute_0_383:[bind(X_40,$fot(multiply(X_76,divide(X_41,multiply(X_76,X_75)))))]]) ).
cnf(refute_0_385,plain,
divide(multiply(X_76,divide(X_41,multiply(X_76,X_75))),X_41) = inverse(X_75),
inference(subst,[],[refute_0_346:[bind(B,$fot(X_75)),bind(X_7,$fot(X_76)),bind(X_9,$fot(X_41))]]) ).
cnf(refute_0_386,plain,
( divide(multiply(X_76,divide(X_41,multiply(X_76,X_75))),X_41) != inverse(X_75)
| inverse(X_41) != divide(divide(multiply(X_76,divide(X_41,multiply(X_76,X_75))),X_41),multiply(X_76,divide(X_41,multiply(X_76,X_75))))
| inverse(X_41) = divide(inverse(X_75),multiply(X_76,divide(X_41,multiply(X_76,X_75)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_41),divide(divide(multiply(X_76,divide(X_41,multiply(X_76,X_75))),X_41),multiply(X_76,divide(X_41,multiply(X_76,X_75))))) ),[1,0],$fot(inverse(X_75))]]) ).
cnf(refute_0_387,plain,
( inverse(X_41) != divide(divide(multiply(X_76,divide(X_41,multiply(X_76,X_75))),X_41),multiply(X_76,divide(X_41,multiply(X_76,X_75))))
| inverse(X_41) = divide(inverse(X_75),multiply(X_76,divide(X_41,multiply(X_76,X_75)))) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_76,divide(X_41,multiply(X_76,X_75))),X_41),inverse(X_75)) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
inverse(X_41) = divide(inverse(X_75),multiply(X_76,divide(X_41,multiply(X_76,X_75)))),
inference(resolve,[$cnf( $equal(inverse(X_41),divide(divide(multiply(X_76,divide(X_41,multiply(X_76,X_75))),X_41),multiply(X_76,divide(X_41,multiply(X_76,X_75))))) )],[refute_0_384,refute_0_387]) ).
cnf(refute_0_389,plain,
multiply(inverse(X_75),divide(divide(multiply(X_76,X_75),X_41),X_76)) = divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75),
inference(subst,[],[refute_0_117:[bind(X_23,$fot(divide(divide(multiply(X_76,X_75),X_41),X_76))),bind(X_24,$fot(X_75))]]) ).
cnf(refute_0_390,plain,
multiply(inverse(inverse(X_24)),X_54) = divide(X_54,inverse(X_24)),
inference(subst,[],[refute_0_117:[bind(X_23,$fot(X_54)),bind(X_24,$fot(inverse(X_24)))]]) ).
cnf(refute_0_391,plain,
( multiply(inverse(inverse(X_24)),X_54) != divide(X_54,inverse(X_24))
| inverse(inverse(X_24)) != X_24
| multiply(X_24,X_54) = divide(X_54,inverse(X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_24)),X_54),divide(X_54,inverse(X_24))) ),[0,0],$fot(X_24)]]) ).
cnf(refute_0_392,plain,
( multiply(inverse(inverse(X_24)),X_54) != divide(X_54,inverse(X_24))
| multiply(X_24,X_54) = divide(X_54,inverse(X_24)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_24)),X_24) )],[refute_0_293,refute_0_391]) ).
cnf(refute_0_393,plain,
multiply(X_24,X_54) = divide(X_54,inverse(X_24)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_24)),X_54),divide(X_54,inverse(X_24))) )],[refute_0_390,refute_0_392]) ).
cnf(refute_0_394,plain,
divide(X_54,inverse(X_24)) = multiply(X_54,X_24),
inference(subst,[],[refute_0_84:[bind(A,$fot(X_54)),bind(B,$fot(X_24))]]) ).
cnf(refute_0_395,plain,
( multiply(X_24,X_54) != divide(X_54,inverse(X_24))
| divide(X_54,inverse(X_24)) != multiply(X_54,X_24)
| multiply(X_24,X_54) = multiply(X_54,X_24) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_24,X_54),multiply(X_54,X_24)) ),[0],$fot(divide(X_54,inverse(X_24)))]]) ).
cnf(refute_0_396,plain,
( multiply(X_24,X_54) != divide(X_54,inverse(X_24))
| multiply(X_24,X_54) = multiply(X_54,X_24) ),
inference(resolve,[$cnf( $equal(divide(X_54,inverse(X_24)),multiply(X_54,X_24)) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
multiply(X_24,X_54) = multiply(X_54,X_24),
inference(resolve,[$cnf( $equal(multiply(X_24,X_54),divide(X_54,inverse(X_24))) )],[refute_0_393,refute_0_396]) ).
cnf(refute_0_398,plain,
( multiply(X_24,X_54) != multiply(X_54,X_24)
| multiply(X_54,X_24) = multiply(X_24,X_54) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_24,X_54))),bind(Y,$fot(multiply(X_54,X_24)))]]) ).
cnf(refute_0_399,plain,
multiply(X_54,X_24) = multiply(X_24,X_54),
inference(resolve,[$cnf( $equal(multiply(X_24,X_54),multiply(X_54,X_24)) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
multiply(divide(divide(multiply(X_76,X_75),X_41),X_76),inverse(X_75)) = multiply(inverse(X_75),divide(divide(multiply(X_76,X_75),X_41),X_76)),
inference(subst,[],[refute_0_399:[bind(X_24,$fot(inverse(X_75))),bind(X_54,$fot(divide(divide(multiply(X_76,X_75),X_41),X_76)))]]) ).
cnf(refute_0_401,plain,
( multiply(divide(divide(multiply(X_76,X_75),X_41),X_76),inverse(X_75)) != multiply(inverse(X_75),divide(divide(multiply(X_76,X_75),X_41),X_76))
| multiply(inverse(X_75),divide(divide(multiply(X_76,X_75),X_41),X_76)) != divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75)
| multiply(divide(divide(multiply(X_76,X_75),X_41),X_76),inverse(X_75)) = divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75) ),
inference(subst,[],[refute_0_120:[bind(X,$fot(multiply(divide(divide(multiply(X_76,X_75),X_41),X_76),inverse(X_75)))),bind(Y,$fot(multiply(inverse(X_75),divide(divide(multiply(X_76,X_75),X_41),X_76)))),bind(Z,$fot(divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75)))]]) ).
cnf(refute_0_402,plain,
( multiply(inverse(X_75),divide(divide(multiply(X_76,X_75),X_41),X_76)) != divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75)
| multiply(divide(divide(multiply(X_76,X_75),X_41),X_76),inverse(X_75)) = divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75) ),
inference(resolve,[$cnf( $equal(multiply(divide(divide(multiply(X_76,X_75),X_41),X_76),inverse(X_75)),multiply(inverse(X_75),divide(divide(multiply(X_76,X_75),X_41),X_76))) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
multiply(divide(divide(multiply(X_76,X_75),X_41),X_76),inverse(X_75)) = divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75),
inference(resolve,[$cnf( $equal(multiply(inverse(X_75),divide(divide(multiply(X_76,X_75),X_41),X_76)),divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75)) )],[refute_0_389,refute_0_402]) ).
cnf(refute_0_404,plain,
multiply(inverse(multiply(X_65,divide(X_63,X_64))),X_23) = divide(X_23,multiply(X_65,divide(X_63,X_64))),
inference(subst,[],[refute_0_117:[bind(X_24,$fot(multiply(X_65,divide(X_63,X_64))))]]) ).
cnf(refute_0_405,plain,
inverse(multiply(X_65,divide(X_63,X_64))) = divide(divide(X_64,X_63),X_65),
inference(subst,[],[refute_0_339:[bind(X_24,$fot(X_63)),bind(X_40,$fot(X_64)),bind(X_45,$fot(X_65))]]) ).
cnf(refute_0_406,plain,
( multiply(inverse(multiply(X_65,divide(X_63,X_64))),X_23) != divide(X_23,multiply(X_65,divide(X_63,X_64)))
| inverse(multiply(X_65,divide(X_63,X_64))) != divide(divide(X_64,X_63),X_65)
| multiply(divide(divide(X_64,X_63),X_65),X_23) = divide(X_23,multiply(X_65,divide(X_63,X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_65,divide(X_63,X_64))),X_23),divide(X_23,multiply(X_65,divide(X_63,X_64)))) ),[0,0],$fot(divide(divide(X_64,X_63),X_65))]]) ).
cnf(refute_0_407,plain,
( multiply(inverse(multiply(X_65,divide(X_63,X_64))),X_23) != divide(X_23,multiply(X_65,divide(X_63,X_64)))
| multiply(divide(divide(X_64,X_63),X_65),X_23) = divide(X_23,multiply(X_65,divide(X_63,X_64))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_65,divide(X_63,X_64))),divide(divide(X_64,X_63),X_65)) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
multiply(divide(divide(X_64,X_63),X_65),X_23) = divide(X_23,multiply(X_65,divide(X_63,X_64))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_65,divide(X_63,X_64))),X_23),divide(X_23,multiply(X_65,divide(X_63,X_64)))) )],[refute_0_404,refute_0_407]) ).
cnf(refute_0_409,plain,
( multiply(divide(divide(X_64,X_63),X_65),X_23) != divide(X_23,multiply(X_65,divide(X_63,X_64)))
| divide(X_23,multiply(X_65,divide(X_63,X_64))) = multiply(divide(divide(X_64,X_63),X_65),X_23) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(divide(divide(X_64,X_63),X_65),X_23))),bind(Y,$fot(divide(X_23,multiply(X_65,divide(X_63,X_64)))))]]) ).
cnf(refute_0_410,plain,
divide(X_23,multiply(X_65,divide(X_63,X_64))) = multiply(divide(divide(X_64,X_63),X_65),X_23),
inference(resolve,[$cnf( $equal(multiply(divide(divide(X_64,X_63),X_65),X_23),divide(X_23,multiply(X_65,divide(X_63,X_64)))) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
divide(inverse(X_75),multiply(X_76,divide(X_41,multiply(X_76,X_75)))) = multiply(divide(divide(multiply(X_76,X_75),X_41),X_76),inverse(X_75)),
inference(subst,[],[refute_0_410:[bind(X_23,$fot(inverse(X_75))),bind(X_63,$fot(X_41)),bind(X_64,$fot(multiply(X_76,X_75))),bind(X_65,$fot(X_76))]]) ).
cnf(refute_0_412,plain,
( multiply(divide(divide(multiply(X_76,X_75),X_41),X_76),inverse(X_75)) != divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75)
| divide(inverse(X_75),multiply(X_76,divide(X_41,multiply(X_76,X_75)))) != multiply(divide(divide(multiply(X_76,X_75),X_41),X_76),inverse(X_75))
| divide(inverse(X_75),multiply(X_76,divide(X_41,multiply(X_76,X_75)))) = divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75) ),
inference(subst,[],[refute_0_120:[bind(X,$fot(divide(inverse(X_75),multiply(X_76,divide(X_41,multiply(X_76,X_75)))))),bind(Y,$fot(multiply(divide(divide(multiply(X_76,X_75),X_41),X_76),inverse(X_75)))),bind(Z,$fot(divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75)))]]) ).
cnf(refute_0_413,plain,
( multiply(divide(divide(multiply(X_76,X_75),X_41),X_76),inverse(X_75)) != divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75)
| divide(inverse(X_75),multiply(X_76,divide(X_41,multiply(X_76,X_75)))) = divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_75),multiply(X_76,divide(X_41,multiply(X_76,X_75)))),multiply(divide(divide(multiply(X_76,X_75),X_41),X_76),inverse(X_75))) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
divide(inverse(X_75),multiply(X_76,divide(X_41,multiply(X_76,X_75)))) = divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75),
inference(resolve,[$cnf( $equal(multiply(divide(divide(multiply(X_76,X_75),X_41),X_76),inverse(X_75)),divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75)) )],[refute_0_403,refute_0_413]) ).
cnf(refute_0_415,plain,
( divide(inverse(X_75),multiply(X_76,divide(X_41,multiply(X_76,X_75)))) != divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75)
| inverse(X_41) != divide(inverse(X_75),multiply(X_76,divide(X_41,multiply(X_76,X_75))))
| inverse(X_41) = divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_41),divide(inverse(X_75),multiply(X_76,divide(X_41,multiply(X_76,X_75))))) ),[1],$fot(divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75))]]) ).
cnf(refute_0_416,plain,
( inverse(X_41) != divide(inverse(X_75),multiply(X_76,divide(X_41,multiply(X_76,X_75))))
| inverse(X_41) = divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_75),multiply(X_76,divide(X_41,multiply(X_76,X_75)))),divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75)) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
inverse(X_41) = divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75),
inference(resolve,[$cnf( $equal(inverse(X_41),divide(inverse(X_75),multiply(X_76,divide(X_41,multiply(X_76,X_75))))) )],[refute_0_388,refute_0_416]) ).
cnf(refute_0_418,plain,
inverse(inverse(B)) = divide(divide(X_50,inverse(B)),X_50),
inference(subst,[],[refute_0_383:[bind(X_40,$fot(X_50)),bind(X_41,$fot(inverse(B)))]]) ).
cnf(refute_0_419,plain,
multiply(X_50,B) = divide(X_50,inverse(B)),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_50))]]) ).
cnf(refute_0_420,plain,
( multiply(X_50,B) != divide(X_50,inverse(B))
| divide(X_50,inverse(B)) = multiply(X_50,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_50,B))),bind(Y,$fot(divide(X_50,inverse(B))))]]) ).
cnf(refute_0_421,plain,
divide(X_50,inverse(B)) = multiply(X_50,B),
inference(resolve,[$cnf( $equal(multiply(X_50,B),divide(X_50,inverse(B))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
( divide(X_50,inverse(B)) != multiply(X_50,B)
| inverse(inverse(B)) != divide(divide(X_50,inverse(B)),X_50)
| inverse(inverse(B)) = divide(multiply(X_50,B),X_50) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(B)),divide(divide(X_50,inverse(B)),X_50)) ),[1,0],$fot(multiply(X_50,B))]]) ).
cnf(refute_0_423,plain,
( inverse(inverse(B)) != divide(divide(X_50,inverse(B)),X_50)
| inverse(inverse(B)) = divide(multiply(X_50,B),X_50) ),
inference(resolve,[$cnf( $equal(divide(X_50,inverse(B)),multiply(X_50,B)) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
inverse(inverse(B)) = divide(multiply(X_50,B),X_50),
inference(resolve,[$cnf( $equal(inverse(inverse(B)),divide(divide(X_50,inverse(B)),X_50)) )],[refute_0_418,refute_0_423]) ).
cnf(refute_0_425,plain,
inverse(inverse(B)) = B,
inference(subst,[],[refute_0_293:[bind(X_24,$fot(B))]]) ).
cnf(refute_0_426,plain,
( inverse(inverse(B)) != B
| inverse(inverse(B)) != divide(multiply(X_50,B),X_50)
| B = divide(multiply(X_50,B),X_50) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(B)),divide(multiply(X_50,B),X_50)) ),[0],$fot(B)]]) ).
cnf(refute_0_427,plain,
( inverse(inverse(B)) != divide(multiply(X_50,B),X_50)
| B = divide(multiply(X_50,B),X_50) ),
inference(resolve,[$cnf( $equal(inverse(inverse(B)),B) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
B = divide(multiply(X_50,B),X_50),
inference(resolve,[$cnf( $equal(inverse(inverse(B)),divide(multiply(X_50,B),X_50)) )],[refute_0_424,refute_0_427]) ).
cnf(refute_0_429,plain,
divide(multiply(X_97,X_98),X_96) = divide(multiply(divide(X_96,X_97),divide(multiply(X_97,X_98),X_96)),divide(X_96,X_97)),
inference(subst,[],[refute_0_428:[bind(B,$fot(divide(multiply(X_97,X_98),X_96))),bind(X_50,$fot(divide(X_96,X_97)))]]) ).
cnf(refute_0_430,plain,
multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B) = divide(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),inverse(B)),
inference(subst,[],[refute_0_12:[bind(A,$fot(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7))))]]) ).
cnf(refute_0_431,plain,
divide(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),inverse(B)) = X_8,
inference(subst,[],[refute_0_34:[bind(A,$fot(X_7)),bind(B,$fot(X_8)),bind(C,$fot(inverse(B)))]]) ).
cnf(refute_0_432,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B) != divide(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),inverse(B))
| divide(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),inverse(B)) != X_8
| multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B) = X_8 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B),X_8) ),[0],$fot(divide(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),inverse(B)))]]) ).
cnf(refute_0_433,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B) != divide(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),inverse(B))
| multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),inverse(B)),X_8) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B),divide(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),inverse(B))) )],[refute_0_430,refute_0_433]) ).
cnf(refute_0_435,plain,
divide(divide(X_7,X_8),inverse(B)) = multiply(divide(X_7,X_8),B),
inference(subst,[],[refute_0_84:[bind(A,$fot(divide(X_7,X_8)))]]) ).
cnf(refute_0_436,plain,
divide(divide(divide(X_7,X_8),inverse(B)),X_7) = divide(divide(divide(X_7,X_8),inverse(B)),X_7),
introduced(tautology,[refl,[$fot(divide(divide(divide(X_7,X_8),inverse(B)),X_7))]]) ).
cnf(refute_0_437,plain,
( divide(divide(X_7,X_8),inverse(B)) != multiply(divide(X_7,X_8),B)
| divide(divide(divide(X_7,X_8),inverse(B)),X_7) != divide(divide(divide(X_7,X_8),inverse(B)),X_7)
| divide(divide(divide(X_7,X_8),inverse(B)),X_7) = divide(multiply(divide(X_7,X_8),B),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X_7,X_8),inverse(B)),X_7),divide(divide(divide(X_7,X_8),inverse(B)),X_7)) ),[1,0],$fot(multiply(divide(X_7,X_8),B))]]) ).
cnf(refute_0_438,plain,
( divide(divide(X_7,X_8),inverse(B)) != multiply(divide(X_7,X_8),B)
| divide(divide(divide(X_7,X_8),inverse(B)),X_7) = divide(multiply(divide(X_7,X_8),B),X_7) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_7,X_8),inverse(B)),X_7),divide(divide(divide(X_7,X_8),inverse(B)),X_7)) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
divide(divide(divide(X_7,X_8),inverse(B)),X_7) = divide(multiply(divide(X_7,X_8),B),X_7),
inference(resolve,[$cnf( $equal(divide(divide(X_7,X_8),inverse(B)),multiply(divide(X_7,X_8),B)) )],[refute_0_435,refute_0_438]) ).
cnf(refute_0_440,plain,
inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)) = inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),
introduced(tautology,[refl,[$fot(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)))]]) ).
cnf(refute_0_441,plain,
( divide(divide(divide(X_7,X_8),inverse(B)),X_7) != divide(multiply(divide(X_7,X_8),B),X_7)
| inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)) != inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7))
| inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)) = inverse(divide(multiply(divide(X_7,X_8),B),X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7))) ),[1,0],$fot(divide(multiply(divide(X_7,X_8),B),X_7))]]) ).
cnf(refute_0_442,plain,
( divide(divide(divide(X_7,X_8),inverse(B)),X_7) != divide(multiply(divide(X_7,X_8),B),X_7)
| inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)) = inverse(divide(multiply(divide(X_7,X_8),B),X_7)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7))) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)) = inverse(divide(multiply(divide(X_7,X_8),B),X_7)),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_7,X_8),inverse(B)),X_7),divide(multiply(divide(X_7,X_8),B),X_7)) )],[refute_0_439,refute_0_442]) ).
cnf(refute_0_444,plain,
multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B) = multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B),
introduced(tautology,[refl,[$fot(multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B))]]) ).
cnf(refute_0_445,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B) != multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B)
| inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)) != inverse(divide(multiply(divide(X_7,X_8),B),X_7))
| multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B) = multiply(inverse(divide(multiply(divide(X_7,X_8),B),X_7)),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B),multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B)) ),[1,0],$fot(inverse(divide(multiply(divide(X_7,X_8),B),X_7)))]]) ).
cnf(refute_0_446,plain,
( inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)) != inverse(divide(multiply(divide(X_7,X_8),B),X_7))
| multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B) = multiply(inverse(divide(multiply(divide(X_7,X_8),B),X_7)),B) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B),multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B)) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B) = multiply(inverse(divide(multiply(divide(X_7,X_8),B),X_7)),B),
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),inverse(divide(multiply(divide(X_7,X_8),B),X_7))) )],[refute_0_443,refute_0_446]) ).
cnf(refute_0_448,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B) != X_8
| multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B) != multiply(inverse(divide(multiply(divide(X_7,X_8),B),X_7)),B)
| multiply(inverse(divide(multiply(divide(X_7,X_8),B),X_7)),B) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B),X_8) ),[0],$fot(multiply(inverse(divide(multiply(divide(X_7,X_8),B),X_7)),B))]]) ).
cnf(refute_0_449,plain,
( multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B) != X_8
| multiply(inverse(divide(multiply(divide(X_7,X_8),B),X_7)),B) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B),multiply(inverse(divide(multiply(divide(X_7,X_8),B),X_7)),B)) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
multiply(inverse(divide(multiply(divide(X_7,X_8),B),X_7)),B) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(divide(X_7,X_8),inverse(B)),X_7)),B),X_8) )],[refute_0_434,refute_0_449]) ).
cnf(refute_0_451,plain,
multiply(inverse(divide(multiply(divide(X_7,X_8),B),X_7)),B) = divide(B,divide(multiply(divide(X_7,X_8),B),X_7)),
inference(subst,[],[refute_0_117:[bind(X_23,$fot(B)),bind(X_24,$fot(divide(multiply(divide(X_7,X_8),B),X_7)))]]) ).
cnf(refute_0_452,plain,
( multiply(inverse(divide(multiply(divide(X_7,X_8),B),X_7)),B) != X_8
| multiply(inverse(divide(multiply(divide(X_7,X_8),B),X_7)),B) != divide(B,divide(multiply(divide(X_7,X_8),B),X_7))
| divide(B,divide(multiply(divide(X_7,X_8),B),X_7)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(multiply(divide(X_7,X_8),B),X_7)),B),X_8) ),[0],$fot(divide(B,divide(multiply(divide(X_7,X_8),B),X_7)))]]) ).
cnf(refute_0_453,plain,
( multiply(inverse(divide(multiply(divide(X_7,X_8),B),X_7)),B) != X_8
| divide(B,divide(multiply(divide(X_7,X_8),B),X_7)) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(multiply(divide(X_7,X_8),B),X_7)),B),divide(B,divide(multiply(divide(X_7,X_8),B),X_7))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
divide(B,divide(multiply(divide(X_7,X_8),B),X_7)) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(multiply(divide(X_7,X_8),B),X_7)),B),X_8) )],[refute_0_450,refute_0_453]) ).
cnf(refute_0_455,plain,
divide(B,divide(multiply(divide(X_7,X_8),B),X_7)) = multiply(B,divide(X_7,multiply(divide(X_7,X_8),B))),
inference(subst,[],[refute_0_217:[bind(A,$fot(B)),bind(X_42,$fot(X_7)),bind(X_43,$fot(multiply(divide(X_7,X_8),B)))]]) ).
cnf(refute_0_456,plain,
( divide(B,divide(multiply(divide(X_7,X_8),B),X_7)) != X_8
| divide(B,divide(multiply(divide(X_7,X_8),B),X_7)) != multiply(B,divide(X_7,multiply(divide(X_7,X_8),B)))
| multiply(B,divide(X_7,multiply(divide(X_7,X_8),B))) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(B,divide(multiply(divide(X_7,X_8),B),X_7)),X_8) ),[0],$fot(multiply(B,divide(X_7,multiply(divide(X_7,X_8),B))))]]) ).
cnf(refute_0_457,plain,
( divide(B,divide(multiply(divide(X_7,X_8),B),X_7)) != X_8
| multiply(B,divide(X_7,multiply(divide(X_7,X_8),B))) = X_8 ),
inference(resolve,[$cnf( $equal(divide(B,divide(multiply(divide(X_7,X_8),B),X_7)),multiply(B,divide(X_7,multiply(divide(X_7,X_8),B)))) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
multiply(B,divide(X_7,multiply(divide(X_7,X_8),B))) = X_8,
inference(resolve,[$cnf( $equal(divide(B,divide(multiply(divide(X_7,X_8),B),X_7)),X_8) )],[refute_0_454,refute_0_457]) ).
cnf(refute_0_459,plain,
multiply(X_56,divide(multiply(X_46,X_58),multiply(divide(multiply(X_46,X_58),X_58),X_56))) = X_58,
inference(subst,[],[refute_0_458:[bind(B,$fot(X_56)),bind(X_7,$fot(multiply(X_46,X_58))),bind(X_8,$fot(X_58))]]) ).
cnf(refute_0_460,plain,
divide(multiply(X_46,X_58),X_58) = X_46,
inference(subst,[],[refute_0_236:[bind(B,$fot(X_58))]]) ).
cnf(refute_0_461,plain,
( multiply(X_56,divide(multiply(X_46,X_58),multiply(divide(multiply(X_46,X_58),X_58),X_56))) != X_58
| divide(multiply(X_46,X_58),X_58) != X_46
| multiply(X_56,divide(multiply(X_46,X_58),multiply(X_46,X_56))) = X_58 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_56,divide(multiply(X_46,X_58),multiply(divide(multiply(X_46,X_58),X_58),X_56))),X_58) ),[0,1,1,0],$fot(X_46)]]) ).
cnf(refute_0_462,plain,
( multiply(X_56,divide(multiply(X_46,X_58),multiply(divide(multiply(X_46,X_58),X_58),X_56))) != X_58
| multiply(X_56,divide(multiply(X_46,X_58),multiply(X_46,X_56))) = X_58 ),
inference(resolve,[$cnf( $equal(divide(multiply(X_46,X_58),X_58),X_46) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
multiply(X_56,divide(multiply(X_46,X_58),multiply(X_46,X_56))) = X_58,
inference(resolve,[$cnf( $equal(multiply(X_56,divide(multiply(X_46,X_58),multiply(divide(multiply(X_46,X_58),X_58),X_56))),X_58) )],[refute_0_459,refute_0_462]) ).
cnf(refute_0_464,plain,
multiply(divide(X_24,X_87),divide(multiply(X_87,X_89),multiply(X_87,divide(X_24,X_87)))) = X_89,
inference(subst,[],[refute_0_463:[bind(X_46,$fot(X_87)),bind(X_56,$fot(divide(X_24,X_87))),bind(X_58,$fot(X_89))]]) ).
cnf(refute_0_465,plain,
multiply(X_87,divide(X_24,X_87)) = X_24,
inference(subst,[],[refute_0_224:[bind(X_43,$fot(X_87))]]) ).
cnf(refute_0_466,plain,
( multiply(X_87,divide(X_24,X_87)) != X_24
| multiply(divide(X_24,X_87),divide(multiply(X_87,X_89),multiply(X_87,divide(X_24,X_87)))) != X_89
| multiply(divide(X_24,X_87),divide(multiply(X_87,X_89),X_24)) = X_89 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_24,X_87),divide(multiply(X_87,X_89),multiply(X_87,divide(X_24,X_87)))),X_89) ),[0,1,1],$fot(X_24)]]) ).
cnf(refute_0_467,plain,
( multiply(divide(X_24,X_87),divide(multiply(X_87,X_89),multiply(X_87,divide(X_24,X_87)))) != X_89
| multiply(divide(X_24,X_87),divide(multiply(X_87,X_89),X_24)) = X_89 ),
inference(resolve,[$cnf( $equal(multiply(X_87,divide(X_24,X_87)),X_24) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
multiply(divide(X_24,X_87),divide(multiply(X_87,X_89),X_24)) = X_89,
inference(resolve,[$cnf( $equal(multiply(divide(X_24,X_87),divide(multiply(X_87,X_89),multiply(X_87,divide(X_24,X_87)))),X_89) )],[refute_0_464,refute_0_467]) ).
cnf(refute_0_469,plain,
multiply(divide(X_96,X_97),divide(multiply(X_97,X_98),X_96)) = X_98,
inference(subst,[],[refute_0_468:[bind(X_24,$fot(X_96)),bind(X_87,$fot(X_97)),bind(X_89,$fot(X_98))]]) ).
cnf(refute_0_470,plain,
( multiply(divide(X_96,X_97),divide(multiply(X_97,X_98),X_96)) != X_98
| divide(multiply(X_97,X_98),X_96) != divide(multiply(divide(X_96,X_97),divide(multiply(X_97,X_98),X_96)),divide(X_96,X_97))
| divide(multiply(X_97,X_98),X_96) = divide(X_98,divide(X_96,X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_97,X_98),X_96),divide(multiply(divide(X_96,X_97),divide(multiply(X_97,X_98),X_96)),divide(X_96,X_97))) ),[1,0],$fot(X_98)]]) ).
cnf(refute_0_471,plain,
( divide(multiply(X_97,X_98),X_96) != divide(multiply(divide(X_96,X_97),divide(multiply(X_97,X_98),X_96)),divide(X_96,X_97))
| divide(multiply(X_97,X_98),X_96) = divide(X_98,divide(X_96,X_97)) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_96,X_97),divide(multiply(X_97,X_98),X_96)),X_98) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
divide(multiply(X_97,X_98),X_96) = divide(X_98,divide(X_96,X_97)),
inference(resolve,[$cnf( $equal(divide(multiply(X_97,X_98),X_96),divide(multiply(divide(X_96,X_97),divide(multiply(X_97,X_98),X_96)),divide(X_96,X_97))) )],[refute_0_429,refute_0_471]) ).
cnf(refute_0_473,plain,
divide(X_98,divide(X_96,X_97)) = multiply(X_98,divide(X_97,X_96)),
inference(subst,[],[refute_0_217:[bind(A,$fot(X_98)),bind(X_42,$fot(X_97)),bind(X_43,$fot(X_96))]]) ).
cnf(refute_0_474,plain,
( divide(X_98,divide(X_96,X_97)) != multiply(X_98,divide(X_97,X_96))
| divide(multiply(X_97,X_98),X_96) != divide(X_98,divide(X_96,X_97))
| divide(multiply(X_97,X_98),X_96) = multiply(X_98,divide(X_97,X_96)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_97,X_98),X_96),divide(X_98,divide(X_96,X_97))) ),[1],$fot(multiply(X_98,divide(X_97,X_96)))]]) ).
cnf(refute_0_475,plain,
( divide(multiply(X_97,X_98),X_96) != divide(X_98,divide(X_96,X_97))
| divide(multiply(X_97,X_98),X_96) = multiply(X_98,divide(X_97,X_96)) ),
inference(resolve,[$cnf( $equal(divide(X_98,divide(X_96,X_97)),multiply(X_98,divide(X_97,X_96))) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
divide(multiply(X_97,X_98),X_96) = multiply(X_98,divide(X_97,X_96)),
inference(resolve,[$cnf( $equal(divide(multiply(X_97,X_98),X_96),divide(X_98,divide(X_96,X_97))) )],[refute_0_472,refute_0_475]) ).
cnf(refute_0_477,plain,
divide(multiply(X_76,X_75),multiply(X_41,multiply(X_76,X_75))) = multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75)))),
inference(subst,[],[refute_0_476:[bind(X_96,$fot(multiply(X_41,multiply(X_76,X_75)))),bind(X_97,$fot(X_76)),bind(X_98,$fot(X_75))]]) ).
cnf(refute_0_478,plain,
divide(inverse(multiply(inverse(inverse(multiply(X_18,identity))),X_21)),inverse(multiply(X_18,identity))) = inverse(X_21),
inference(subst,[],[refute_0_261:[bind(B,$fot(X_21)),bind(X_16,$fot(inverse(multiply(X_18,identity))))]]) ).
cnf(refute_0_479,plain,
( divide(inverse(multiply(inverse(inverse(multiply(X_18,identity))),X_21)),inverse(multiply(X_18,identity))) != inverse(X_21)
| inverse(inverse(multiply(X_18,identity))) != X_18
| divide(inverse(multiply(X_18,X_21)),inverse(multiply(X_18,identity))) = inverse(X_21) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(multiply(inverse(inverse(multiply(X_18,identity))),X_21)),inverse(multiply(X_18,identity))),inverse(X_21)) ),[0,0,0,0],$fot(X_18)]]) ).
cnf(refute_0_480,plain,
( divide(inverse(multiply(inverse(inverse(multiply(X_18,identity))),X_21)),inverse(multiply(X_18,identity))) != inverse(X_21)
| divide(inverse(multiply(X_18,X_21)),inverse(multiply(X_18,identity))) = inverse(X_21) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_18,identity))),X_18) )],[refute_0_186,refute_0_479]) ).
cnf(refute_0_481,plain,
divide(inverse(multiply(X_18,X_21)),inverse(multiply(X_18,identity))) = inverse(X_21),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(inverse(inverse(multiply(X_18,identity))),X_21)),inverse(multiply(X_18,identity))),inverse(X_21)) )],[refute_0_478,refute_0_480]) ).
cnf(refute_0_482,plain,
divide(inverse(multiply(X_18,X_21)),inverse(multiply(X_18,identity))) = multiply(inverse(multiply(X_18,X_21)),multiply(X_18,identity)),
inference(subst,[],[refute_0_84:[bind(A,$fot(inverse(multiply(X_18,X_21)))),bind(B,$fot(multiply(X_18,identity)))]]) ).
cnf(refute_0_483,plain,
( divide(inverse(multiply(X_18,X_21)),inverse(multiply(X_18,identity))) != multiply(inverse(multiply(X_18,X_21)),multiply(X_18,identity))
| divide(inverse(multiply(X_18,X_21)),inverse(multiply(X_18,identity))) != inverse(X_21)
| multiply(inverse(multiply(X_18,X_21)),multiply(X_18,identity)) = inverse(X_21) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(multiply(X_18,X_21)),inverse(multiply(X_18,identity))),inverse(X_21)) ),[0],$fot(multiply(inverse(multiply(X_18,X_21)),multiply(X_18,identity)))]]) ).
cnf(refute_0_484,plain,
( divide(inverse(multiply(X_18,X_21)),inverse(multiply(X_18,identity))) != inverse(X_21)
| multiply(inverse(multiply(X_18,X_21)),multiply(X_18,identity)) = inverse(X_21) ),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(X_18,X_21)),inverse(multiply(X_18,identity))),multiply(inverse(multiply(X_18,X_21)),multiply(X_18,identity))) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
multiply(inverse(multiply(X_18,X_21)),multiply(X_18,identity)) = inverse(X_21),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(X_18,X_21)),inverse(multiply(X_18,identity))),inverse(X_21)) )],[refute_0_481,refute_0_484]) ).
cnf(refute_0_486,plain,
divide(multiply(X_18,identity),multiply(X_18,X_21)) = divide(multiply(X_18,identity),multiply(X_18,X_21)),
introduced(tautology,[refl,[$fot(divide(multiply(X_18,identity),multiply(X_18,X_21)))]]) ).
cnf(refute_0_487,plain,
( multiply(X_18,identity) != X_18
| divide(multiply(X_18,identity),multiply(X_18,X_21)) != divide(multiply(X_18,identity),multiply(X_18,X_21))
| divide(multiply(X_18,identity),multiply(X_18,X_21)) = divide(X_18,multiply(X_18,X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_18,identity),multiply(X_18,X_21)),divide(multiply(X_18,identity),multiply(X_18,X_21))) ),[1,0],$fot(X_18)]]) ).
cnf(refute_0_488,plain,
( multiply(X_18,identity) != X_18
| divide(multiply(X_18,identity),multiply(X_18,X_21)) = divide(X_18,multiply(X_18,X_21)) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_18,identity),multiply(X_18,X_21)),divide(multiply(X_18,identity),multiply(X_18,X_21))) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
divide(multiply(X_18,identity),multiply(X_18,X_21)) = divide(X_18,multiply(X_18,X_21)),
inference(resolve,[$cnf( $equal(multiply(X_18,identity),X_18) )],[refute_0_190,refute_0_488]) ).
cnf(refute_0_490,plain,
multiply(inverse(multiply(X_18,X_21)),multiply(X_18,identity)) = divide(multiply(X_18,identity),multiply(X_18,X_21)),
inference(subst,[],[refute_0_117:[bind(X_23,$fot(multiply(X_18,identity))),bind(X_24,$fot(multiply(X_18,X_21)))]]) ).
cnf(refute_0_491,plain,
( multiply(inverse(multiply(X_18,X_21)),multiply(X_18,identity)) != divide(multiply(X_18,identity),multiply(X_18,X_21))
| divide(multiply(X_18,identity),multiply(X_18,X_21)) != divide(X_18,multiply(X_18,X_21))
| multiply(inverse(multiply(X_18,X_21)),multiply(X_18,identity)) = divide(X_18,multiply(X_18,X_21)) ),
inference(subst,[],[refute_0_120:[bind(X,$fot(multiply(inverse(multiply(X_18,X_21)),multiply(X_18,identity)))),bind(Y,$fot(divide(multiply(X_18,identity),multiply(X_18,X_21)))),bind(Z,$fot(divide(X_18,multiply(X_18,X_21))))]]) ).
cnf(refute_0_492,plain,
( divide(multiply(X_18,identity),multiply(X_18,X_21)) != divide(X_18,multiply(X_18,X_21))
| multiply(inverse(multiply(X_18,X_21)),multiply(X_18,identity)) = divide(X_18,multiply(X_18,X_21)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_18,X_21)),multiply(X_18,identity)),divide(multiply(X_18,identity),multiply(X_18,X_21))) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
multiply(inverse(multiply(X_18,X_21)),multiply(X_18,identity)) = divide(X_18,multiply(X_18,X_21)),
inference(resolve,[$cnf( $equal(divide(multiply(X_18,identity),multiply(X_18,X_21)),divide(X_18,multiply(X_18,X_21))) )],[refute_0_489,refute_0_492]) ).
cnf(refute_0_494,plain,
( multiply(inverse(multiply(X_18,X_21)),multiply(X_18,identity)) != divide(X_18,multiply(X_18,X_21))
| multiply(inverse(multiply(X_18,X_21)),multiply(X_18,identity)) != inverse(X_21)
| divide(X_18,multiply(X_18,X_21)) = inverse(X_21) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_18,X_21)),multiply(X_18,identity)),inverse(X_21)) ),[0],$fot(divide(X_18,multiply(X_18,X_21)))]]) ).
cnf(refute_0_495,plain,
( multiply(inverse(multiply(X_18,X_21)),multiply(X_18,identity)) != inverse(X_21)
| divide(X_18,multiply(X_18,X_21)) = inverse(X_21) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_18,X_21)),multiply(X_18,identity)),divide(X_18,multiply(X_18,X_21))) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
divide(X_18,multiply(X_18,X_21)) = inverse(X_21),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_18,X_21)),multiply(X_18,identity)),inverse(X_21)) )],[refute_0_485,refute_0_495]) ).
cnf(refute_0_497,plain,
divide(divide(X_96,X_97),multiply(divide(X_96,X_97),divide(multiply(X_97,X_98),X_96))) = inverse(divide(multiply(X_97,X_98),X_96)),
inference(subst,[],[refute_0_496:[bind(X_18,$fot(divide(X_96,X_97))),bind(X_21,$fot(divide(multiply(X_97,X_98),X_96)))]]) ).
cnf(refute_0_498,plain,
( multiply(divide(X_96,X_97),divide(multiply(X_97,X_98),X_96)) != X_98
| divide(divide(X_96,X_97),multiply(divide(X_96,X_97),divide(multiply(X_97,X_98),X_96))) != inverse(divide(multiply(X_97,X_98),X_96))
| divide(divide(X_96,X_97),X_98) = inverse(divide(multiply(X_97,X_98),X_96)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_96,X_97),multiply(divide(X_96,X_97),divide(multiply(X_97,X_98),X_96))),inverse(divide(multiply(X_97,X_98),X_96))) ),[0,1],$fot(X_98)]]) ).
cnf(refute_0_499,plain,
( divide(divide(X_96,X_97),multiply(divide(X_96,X_97),divide(multiply(X_97,X_98),X_96))) != inverse(divide(multiply(X_97,X_98),X_96))
| divide(divide(X_96,X_97),X_98) = inverse(divide(multiply(X_97,X_98),X_96)) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_96,X_97),divide(multiply(X_97,X_98),X_96)),X_98) )],[refute_0_469,refute_0_498]) ).
cnf(refute_0_500,plain,
divide(divide(X_96,X_97),X_98) = inverse(divide(multiply(X_97,X_98),X_96)),
inference(resolve,[$cnf( $equal(divide(divide(X_96,X_97),multiply(divide(X_96,X_97),divide(multiply(X_97,X_98),X_96))),inverse(divide(multiply(X_97,X_98),X_96))) )],[refute_0_497,refute_0_499]) ).
cnf(refute_0_501,plain,
inverse(divide(multiply(X_97,X_98),X_96)) = divide(X_96,multiply(X_97,X_98)),
inference(subst,[],[refute_0_205:[bind(X_24,$fot(multiply(X_97,X_98))),bind(X_40,$fot(X_96))]]) ).
cnf(refute_0_502,plain,
( divide(divide(X_96,X_97),X_98) != inverse(divide(multiply(X_97,X_98),X_96))
| inverse(divide(multiply(X_97,X_98),X_96)) != divide(X_96,multiply(X_97,X_98))
| divide(divide(X_96,X_97),X_98) = divide(X_96,multiply(X_97,X_98)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(X_96,X_97),X_98),divide(X_96,multiply(X_97,X_98))) ),[0],$fot(inverse(divide(multiply(X_97,X_98),X_96)))]]) ).
cnf(refute_0_503,plain,
( divide(divide(X_96,X_97),X_98) != inverse(divide(multiply(X_97,X_98),X_96))
| divide(divide(X_96,X_97),X_98) = divide(X_96,multiply(X_97,X_98)) ),
inference(resolve,[$cnf( $equal(inverse(divide(multiply(X_97,X_98),X_96)),divide(X_96,multiply(X_97,X_98))) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
divide(divide(X_96,X_97),X_98) = divide(X_96,multiply(X_97,X_98)),
inference(resolve,[$cnf( $equal(divide(divide(X_96,X_97),X_98),inverse(divide(multiply(X_97,X_98),X_96))) )],[refute_0_500,refute_0_503]) ).
cnf(refute_0_505,plain,
divide(divide(multiply(X_76,X_75),X_41),multiply(X_76,X_75)) = divide(multiply(X_76,X_75),multiply(X_41,multiply(X_76,X_75))),
inference(subst,[],[refute_0_504:[bind(X_96,$fot(multiply(X_76,X_75))),bind(X_97,$fot(X_41)),bind(X_98,$fot(multiply(X_76,X_75)))]]) ).
cnf(refute_0_506,plain,
( divide(multiply(X_76,X_75),multiply(X_41,multiply(X_76,X_75))) != multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75))))
| divide(divide(multiply(X_76,X_75),X_41),multiply(X_76,X_75)) != divide(multiply(X_76,X_75),multiply(X_41,multiply(X_76,X_75)))
| divide(divide(multiply(X_76,X_75),X_41),multiply(X_76,X_75)) = multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75)))) ),
inference(subst,[],[refute_0_120:[bind(X,$fot(divide(divide(multiply(X_76,X_75),X_41),multiply(X_76,X_75)))),bind(Y,$fot(divide(multiply(X_76,X_75),multiply(X_41,multiply(X_76,X_75))))),bind(Z,$fot(multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75))))))]]) ).
cnf(refute_0_507,plain,
( divide(multiply(X_76,X_75),multiply(X_41,multiply(X_76,X_75))) != multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75))))
| divide(divide(multiply(X_76,X_75),X_41),multiply(X_76,X_75)) = multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75)))) ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(X_76,X_75),X_41),multiply(X_76,X_75)),divide(multiply(X_76,X_75),multiply(X_41,multiply(X_76,X_75)))) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
divide(divide(multiply(X_76,X_75),X_41),multiply(X_76,X_75)) = multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75)))),
inference(resolve,[$cnf( $equal(divide(multiply(X_76,X_75),multiply(X_41,multiply(X_76,X_75))),multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75))))) )],[refute_0_477,refute_0_507]) ).
cnf(refute_0_509,plain,
divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75) = divide(divide(multiply(X_76,X_75),X_41),multiply(X_76,X_75)),
inference(subst,[],[refute_0_504:[bind(X_96,$fot(divide(multiply(X_76,X_75),X_41))),bind(X_97,$fot(X_76)),bind(X_98,$fot(X_75))]]) ).
cnf(refute_0_510,plain,
( divide(divide(multiply(X_76,X_75),X_41),multiply(X_76,X_75)) != multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75))))
| divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75) != divide(divide(multiply(X_76,X_75),X_41),multiply(X_76,X_75))
| divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75) = multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75)))) ),
inference(subst,[],[refute_0_120:[bind(X,$fot(divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75))),bind(Y,$fot(divide(divide(multiply(X_76,X_75),X_41),multiply(X_76,X_75)))),bind(Z,$fot(multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75))))))]]) ).
cnf(refute_0_511,plain,
( divide(divide(multiply(X_76,X_75),X_41),multiply(X_76,X_75)) != multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75))))
| divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75) = multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75)))) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75),divide(divide(multiply(X_76,X_75),X_41),multiply(X_76,X_75))) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75) = multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75)))),
inference(resolve,[$cnf( $equal(divide(divide(multiply(X_76,X_75),X_41),multiply(X_76,X_75)),multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75))))) )],[refute_0_508,refute_0_511]) ).
cnf(refute_0_513,plain,
( divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75) != multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75))))
| inverse(X_41) != divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75)
| inverse(X_41) = multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_41),divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75)) ),[1],$fot(multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75)))))]]) ).
cnf(refute_0_514,plain,
( inverse(X_41) != divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75)
| inverse(X_41) = multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75)))) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75),multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75))))) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
inverse(X_41) = multiply(X_75,divide(X_76,multiply(X_41,multiply(X_76,X_75)))),
inference(resolve,[$cnf( $equal(inverse(X_41),divide(divide(divide(multiply(X_76,X_75),X_41),X_76),X_75)) )],[refute_0_417,refute_0_514]) ).
cnf(refute_0_516,plain,
inverse(X_41) = multiply(X_113,divide(X_76,multiply(X_41,multiply(X_76,X_113)))),
inference(subst,[],[refute_0_515:[bind(X_75,$fot(X_113))]]) ).
cnf(refute_0_517,plain,
( inverse(X_41) != multiply(X_113,divide(X_76,multiply(X_41,multiply(X_76,X_113))))
| multiply(X_113,divide(X_76,multiply(X_41,multiply(X_76,X_113)))) = inverse(X_41) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_41))),bind(Y,$fot(multiply(X_113,divide(X_76,multiply(X_41,multiply(X_76,X_113))))))]]) ).
cnf(refute_0_518,plain,
multiply(X_113,divide(X_76,multiply(X_41,multiply(X_76,X_113)))) = inverse(X_41),
inference(resolve,[$cnf( $equal(inverse(X_41),multiply(X_113,divide(X_76,multiply(X_41,multiply(X_76,X_113))))) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
( multiply(X_113,divide(X_76,multiply(X_41,multiply(X_76,X_113)))) != inverse(X_41)
| divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))) != multiply(X_113,divide(X_111,multiply(X_113,divide(X_76,multiply(X_41,multiply(X_76,X_113))))))
| divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))) = multiply(X_113,divide(X_111,inverse(X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))),multiply(X_113,divide(X_111,multiply(X_113,divide(X_76,multiply(X_41,multiply(X_76,X_113))))))) ),[1,1,1],$fot(inverse(X_41))]]) ).
cnf(refute_0_520,plain,
( divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))) != multiply(X_113,divide(X_111,multiply(X_113,divide(X_76,multiply(X_41,multiply(X_76,X_113))))))
| divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))) = multiply(X_113,divide(X_111,inverse(X_41))) ),
inference(resolve,[$cnf( $equal(multiply(X_113,divide(X_76,multiply(X_41,multiply(X_76,X_113)))),inverse(X_41)) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))) = multiply(X_113,divide(X_111,inverse(X_41))),
inference(resolve,[$cnf( $equal(divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))),multiply(X_113,divide(X_111,multiply(X_113,divide(X_76,multiply(X_41,multiply(X_76,X_113))))))) )],[refute_0_378,refute_0_520]) ).
cnf(refute_0_522,plain,
multiply(inverse(X_24),divide(X_57,multiply(divide(X_57,X_58),inverse(X_24)))) = divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24),
inference(subst,[],[refute_0_117:[bind(X_23,$fot(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24)))))]]) ).
cnf(refute_0_523,plain,
multiply(inverse(X_24),divide(X_57,multiply(divide(X_57,X_58),inverse(X_24)))) = X_58,
inference(subst,[],[refute_0_458:[bind(B,$fot(inverse(X_24))),bind(X_7,$fot(X_57)),bind(X_8,$fot(X_58))]]) ).
cnf(refute_0_524,plain,
( multiply(inverse(X_24),divide(X_57,multiply(divide(X_57,X_58),inverse(X_24)))) != X_58
| multiply(inverse(X_24),divide(X_57,multiply(divide(X_57,X_58),inverse(X_24)))) != divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24)
| X_58 = divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_24),divide(X_57,multiply(divide(X_57,X_58),inverse(X_24)))),divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24)) ),[0],$fot(X_58)]]) ).
cnf(refute_0_525,plain,
( multiply(inverse(X_24),divide(X_57,multiply(divide(X_57,X_58),inverse(X_24)))) != divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24)
| X_58 = divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_24),divide(X_57,multiply(divide(X_57,X_58),inverse(X_24)))),X_58) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
X_58 = divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24),
inference(resolve,[$cnf( $equal(multiply(inverse(X_24),divide(X_57,multiply(divide(X_57,X_58),inverse(X_24)))),divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24)) )],[refute_0_522,refute_0_525]) ).
cnf(refute_0_527,plain,
divide(X_24,divide(X_57,X_58)) = multiply(X_24,divide(X_58,X_57)),
inference(subst,[],[refute_0_217:[bind(A,$fot(X_24)),bind(X_42,$fot(X_58)),bind(X_43,$fot(X_57))]]) ).
cnf(refute_0_528,plain,
multiply(X_57,divide(X_24,divide(X_57,X_58))) = multiply(X_57,divide(X_24,divide(X_57,X_58))),
introduced(tautology,[refl,[$fot(multiply(X_57,divide(X_24,divide(X_57,X_58))))]]) ).
cnf(refute_0_529,plain,
( multiply(X_57,divide(X_24,divide(X_57,X_58))) != multiply(X_57,divide(X_24,divide(X_57,X_58)))
| divide(X_24,divide(X_57,X_58)) != multiply(X_24,divide(X_58,X_57))
| multiply(X_57,divide(X_24,divide(X_57,X_58))) = multiply(X_57,multiply(X_24,divide(X_58,X_57))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_57,divide(X_24,divide(X_57,X_58))),multiply(X_57,divide(X_24,divide(X_57,X_58)))) ),[1,1],$fot(multiply(X_24,divide(X_58,X_57)))]]) ).
cnf(refute_0_530,plain,
( divide(X_24,divide(X_57,X_58)) != multiply(X_24,divide(X_58,X_57))
| multiply(X_57,divide(X_24,divide(X_57,X_58))) = multiply(X_57,multiply(X_24,divide(X_58,X_57))) ),
inference(resolve,[$cnf( $equal(multiply(X_57,divide(X_24,divide(X_57,X_58))),multiply(X_57,divide(X_24,divide(X_57,X_58)))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
multiply(X_57,divide(X_24,divide(X_57,X_58))) = multiply(X_57,multiply(X_24,divide(X_58,X_57))),
inference(resolve,[$cnf( $equal(divide(X_24,divide(X_57,X_58)),multiply(X_24,divide(X_58,X_57))) )],[refute_0_527,refute_0_530]) ).
cnf(refute_0_532,plain,
divide(X_57,divide(divide(X_57,X_58),X_24)) = multiply(X_57,divide(X_24,divide(X_57,X_58))),
inference(subst,[],[refute_0_217:[bind(A,$fot(X_57)),bind(X_42,$fot(X_24)),bind(X_43,$fot(divide(X_57,X_58)))]]) ).
cnf(refute_0_533,plain,
( multiply(X_57,divide(X_24,divide(X_57,X_58))) != multiply(X_57,multiply(X_24,divide(X_58,X_57)))
| divide(X_57,divide(divide(X_57,X_58),X_24)) != multiply(X_57,divide(X_24,divide(X_57,X_58)))
| divide(X_57,divide(divide(X_57,X_58),X_24)) = multiply(X_57,multiply(X_24,divide(X_58,X_57))) ),
inference(subst,[],[refute_0_120:[bind(X,$fot(divide(X_57,divide(divide(X_57,X_58),X_24)))),bind(Y,$fot(multiply(X_57,divide(X_24,divide(X_57,X_58))))),bind(Z,$fot(multiply(X_57,multiply(X_24,divide(X_58,X_57)))))]]) ).
cnf(refute_0_534,plain,
( multiply(X_57,divide(X_24,divide(X_57,X_58))) != multiply(X_57,multiply(X_24,divide(X_58,X_57)))
| divide(X_57,divide(divide(X_57,X_58),X_24)) = multiply(X_57,multiply(X_24,divide(X_58,X_57))) ),
inference(resolve,[$cnf( $equal(divide(X_57,divide(divide(X_57,X_58),X_24)),multiply(X_57,divide(X_24,divide(X_57,X_58)))) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
divide(X_57,divide(divide(X_57,X_58),X_24)) = multiply(X_57,multiply(X_24,divide(X_58,X_57))),
inference(resolve,[$cnf( $equal(multiply(X_57,divide(X_24,divide(X_57,X_58))),multiply(X_57,multiply(X_24,divide(X_58,X_57)))) )],[refute_0_531,refute_0_534]) ).
cnf(refute_0_536,plain,
multiply(divide(X_57,X_58),inverse(X_24)) = divide(divide(X_57,X_58),X_24),
inference(subst,[],[refute_0_373:[bind(A,$fot(divide(X_57,X_58))),bind(X_19,$fot(X_24))]]) ).
cnf(refute_0_537,plain,
divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))) = divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),
introduced(tautology,[refl,[$fot(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))))]]) ).
cnf(refute_0_538,plain,
( multiply(divide(X_57,X_58),inverse(X_24)) != divide(divide(X_57,X_58),X_24)
| divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))) != divide(X_57,multiply(divide(X_57,X_58),inverse(X_24)))
| divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))) = divide(X_57,divide(divide(X_57,X_58),X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),divide(X_57,multiply(divide(X_57,X_58),inverse(X_24)))) ),[1,1],$fot(divide(divide(X_57,X_58),X_24))]]) ).
cnf(refute_0_539,plain,
( multiply(divide(X_57,X_58),inverse(X_24)) != divide(divide(X_57,X_58),X_24)
| divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))) = divide(X_57,divide(divide(X_57,X_58),X_24)) ),
inference(resolve,[$cnf( $equal(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),divide(X_57,multiply(divide(X_57,X_58),inverse(X_24)))) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))) = divide(X_57,divide(divide(X_57,X_58),X_24)),
inference(resolve,[$cnf( $equal(multiply(divide(X_57,X_58),inverse(X_24)),divide(divide(X_57,X_58),X_24)) )],[refute_0_536,refute_0_539]) ).
cnf(refute_0_541,plain,
( divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))) != divide(X_57,divide(divide(X_57,X_58),X_24))
| divide(X_57,divide(divide(X_57,X_58),X_24)) != multiply(X_57,multiply(X_24,divide(X_58,X_57)))
| divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))) = multiply(X_57,multiply(X_24,divide(X_58,X_57))) ),
inference(subst,[],[refute_0_120:[bind(X,$fot(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))))),bind(Y,$fot(divide(X_57,divide(divide(X_57,X_58),X_24)))),bind(Z,$fot(multiply(X_57,multiply(X_24,divide(X_58,X_57)))))]]) ).
cnf(refute_0_542,plain,
( divide(X_57,divide(divide(X_57,X_58),X_24)) != multiply(X_57,multiply(X_24,divide(X_58,X_57)))
| divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))) = multiply(X_57,multiply(X_24,divide(X_58,X_57))) ),
inference(resolve,[$cnf( $equal(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),divide(X_57,divide(divide(X_57,X_58),X_24))) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))) = multiply(X_57,multiply(X_24,divide(X_58,X_57))),
inference(resolve,[$cnf( $equal(divide(X_57,divide(divide(X_57,X_58),X_24)),multiply(X_57,multiply(X_24,divide(X_58,X_57)))) )],[refute_0_535,refute_0_542]) ).
cnf(refute_0_544,plain,
divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24) = divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24),
introduced(tautology,[refl,[$fot(divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24))]]) ).
cnf(refute_0_545,plain,
( divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))) != multiply(X_57,multiply(X_24,divide(X_58,X_57)))
| divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24) != divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24)
| divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24) = divide(multiply(X_57,multiply(X_24,divide(X_58,X_57))),X_24) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24),divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24)) ),[1,0],$fot(multiply(X_57,multiply(X_24,divide(X_58,X_57))))]]) ).
cnf(refute_0_546,plain,
( divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))) != multiply(X_57,multiply(X_24,divide(X_58,X_57)))
| divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24) = divide(multiply(X_57,multiply(X_24,divide(X_58,X_57))),X_24) ),
inference(resolve,[$cnf( $equal(divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24),divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24)) )],[refute_0_544,refute_0_545]) ).
cnf(refute_0_547,plain,
divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24) = divide(multiply(X_57,multiply(X_24,divide(X_58,X_57))),X_24),
inference(resolve,[$cnf( $equal(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),multiply(X_57,multiply(X_24,divide(X_58,X_57)))) )],[refute_0_543,refute_0_546]) ).
cnf(refute_0_548,plain,
( X_58 != divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24)
| divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24) != divide(multiply(X_57,multiply(X_24,divide(X_58,X_57))),X_24)
| X_58 = divide(multiply(X_57,multiply(X_24,divide(X_58,X_57))),X_24) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_58,divide(multiply(X_57,multiply(X_24,divide(X_58,X_57))),X_24)) ),[0],$fot(divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24))]]) ).
cnf(refute_0_549,plain,
( X_58 != divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24)
| X_58 = divide(multiply(X_57,multiply(X_24,divide(X_58,X_57))),X_24) ),
inference(resolve,[$cnf( $equal(divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24),divide(multiply(X_57,multiply(X_24,divide(X_58,X_57))),X_24)) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
X_58 = divide(multiply(X_57,multiply(X_24,divide(X_58,X_57))),X_24),
inference(resolve,[$cnf( $equal(X_58,divide(divide(X_57,multiply(divide(X_57,X_58),inverse(X_24))),X_24)) )],[refute_0_526,refute_0_549]) ).
cnf(refute_0_551,plain,
multiply(X_57,multiply(X_69,divide(X_58,X_57))) = divide(multiply(X_69,multiply(X_68,divide(multiply(X_57,multiply(X_69,divide(X_58,X_57))),X_69))),X_68),
inference(subst,[],[refute_0_550:[bind(X_24,$fot(X_68)),bind(X_57,$fot(X_69)),bind(X_58,$fot(multiply(X_57,multiply(X_69,divide(X_58,X_57)))))]]) ).
cnf(refute_0_552,plain,
X_58 = divide(multiply(X_57,multiply(X_69,divide(X_58,X_57))),X_69),
inference(subst,[],[refute_0_550:[bind(X_24,$fot(X_69))]]) ).
cnf(refute_0_553,plain,
( X_58 != divide(multiply(X_57,multiply(X_69,divide(X_58,X_57))),X_69)
| divide(multiply(X_57,multiply(X_69,divide(X_58,X_57))),X_69) = X_58 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_58)),bind(Y,$fot(divide(multiply(X_57,multiply(X_69,divide(X_58,X_57))),X_69)))]]) ).
cnf(refute_0_554,plain,
divide(multiply(X_57,multiply(X_69,divide(X_58,X_57))),X_69) = X_58,
inference(resolve,[$cnf( $equal(X_58,divide(multiply(X_57,multiply(X_69,divide(X_58,X_57))),X_69)) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
( multiply(X_57,multiply(X_69,divide(X_58,X_57))) != divide(multiply(X_69,multiply(X_68,divide(multiply(X_57,multiply(X_69,divide(X_58,X_57))),X_69))),X_68)
| divide(multiply(X_57,multiply(X_69,divide(X_58,X_57))),X_69) != X_58
| multiply(X_57,multiply(X_69,divide(X_58,X_57))) = divide(multiply(X_69,multiply(X_68,X_58)),X_68) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_57,multiply(X_69,divide(X_58,X_57))),divide(multiply(X_69,multiply(X_68,divide(multiply(X_57,multiply(X_69,divide(X_58,X_57))),X_69))),X_68)) ),[1,0,1,1],$fot(X_58)]]) ).
cnf(refute_0_556,plain,
( multiply(X_57,multiply(X_69,divide(X_58,X_57))) != divide(multiply(X_69,multiply(X_68,divide(multiply(X_57,multiply(X_69,divide(X_58,X_57))),X_69))),X_68)
| multiply(X_57,multiply(X_69,divide(X_58,X_57))) = divide(multiply(X_69,multiply(X_68,X_58)),X_68) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_57,multiply(X_69,divide(X_58,X_57))),X_69),X_58) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
multiply(X_57,multiply(X_69,divide(X_58,X_57))) = divide(multiply(X_69,multiply(X_68,X_58)),X_68),
inference(resolve,[$cnf( $equal(multiply(X_57,multiply(X_69,divide(X_58,X_57))),divide(multiply(X_69,multiply(X_68,divide(multiply(X_57,multiply(X_69,divide(X_58,X_57))),X_69))),X_68)) )],[refute_0_551,refute_0_556]) ).
cnf(refute_0_558,plain,
multiply(X_43,divide(multiply(X_69,multiply(X_43,divide(X_70,X_69))),X_43)) = multiply(X_69,multiply(X_43,divide(X_70,X_69))),
inference(subst,[],[refute_0_224:[bind(X_24,$fot(multiply(X_69,multiply(X_43,divide(X_70,X_69)))))]]) ).
cnf(refute_0_559,plain,
X_70 = divide(multiply(X_69,multiply(X_43,divide(X_70,X_69))),X_43),
inference(subst,[],[refute_0_550:[bind(X_24,$fot(X_43)),bind(X_57,$fot(X_69)),bind(X_58,$fot(X_70))]]) ).
cnf(refute_0_560,plain,
( X_70 != divide(multiply(X_69,multiply(X_43,divide(X_70,X_69))),X_43)
| divide(multiply(X_69,multiply(X_43,divide(X_70,X_69))),X_43) = X_70 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_70)),bind(Y,$fot(divide(multiply(X_69,multiply(X_43,divide(X_70,X_69))),X_43)))]]) ).
cnf(refute_0_561,plain,
divide(multiply(X_69,multiply(X_43,divide(X_70,X_69))),X_43) = X_70,
inference(resolve,[$cnf( $equal(X_70,divide(multiply(X_69,multiply(X_43,divide(X_70,X_69))),X_43)) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
( multiply(X_43,divide(multiply(X_69,multiply(X_43,divide(X_70,X_69))),X_43)) != multiply(X_69,multiply(X_43,divide(X_70,X_69)))
| divide(multiply(X_69,multiply(X_43,divide(X_70,X_69))),X_43) != X_70
| multiply(X_43,X_70) = multiply(X_69,multiply(X_43,divide(X_70,X_69))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_43,divide(multiply(X_69,multiply(X_43,divide(X_70,X_69))),X_43)),multiply(X_69,multiply(X_43,divide(X_70,X_69)))) ),[0,1],$fot(X_70)]]) ).
cnf(refute_0_563,plain,
( multiply(X_43,divide(multiply(X_69,multiply(X_43,divide(X_70,X_69))),X_43)) != multiply(X_69,multiply(X_43,divide(X_70,X_69)))
| multiply(X_43,X_70) = multiply(X_69,multiply(X_43,divide(X_70,X_69))) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_69,multiply(X_43,divide(X_70,X_69))),X_43),X_70) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
multiply(X_43,X_70) = multiply(X_69,multiply(X_43,divide(X_70,X_69))),
inference(resolve,[$cnf( $equal(multiply(X_43,divide(multiply(X_69,multiply(X_43,divide(X_70,X_69))),X_43)),multiply(X_69,multiply(X_43,divide(X_70,X_69)))) )],[refute_0_558,refute_0_563]) ).
cnf(refute_0_565,plain,
( multiply(X_43,X_70) != multiply(X_69,multiply(X_43,divide(X_70,X_69)))
| multiply(X_69,multiply(X_43,divide(X_70,X_69))) = multiply(X_43,X_70) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_43,X_70))),bind(Y,$fot(multiply(X_69,multiply(X_43,divide(X_70,X_69)))))]]) ).
cnf(refute_0_566,plain,
multiply(X_69,multiply(X_43,divide(X_70,X_69))) = multiply(X_43,X_70),
inference(resolve,[$cnf( $equal(multiply(X_43,X_70),multiply(X_69,multiply(X_43,divide(X_70,X_69)))) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
multiply(X_57,multiply(X_69,divide(X_58,X_57))) = multiply(X_69,X_58),
inference(subst,[],[refute_0_566:[bind(X_43,$fot(X_69)),bind(X_69,$fot(X_57)),bind(X_70,$fot(X_58))]]) ).
cnf(refute_0_568,plain,
( multiply(X_57,multiply(X_69,divide(X_58,X_57))) != multiply(X_69,X_58)
| multiply(X_57,multiply(X_69,divide(X_58,X_57))) != divide(multiply(X_69,multiply(X_68,X_58)),X_68)
| multiply(X_69,X_58) = divide(multiply(X_69,multiply(X_68,X_58)),X_68) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_57,multiply(X_69,divide(X_58,X_57))),divide(multiply(X_69,multiply(X_68,X_58)),X_68)) ),[0],$fot(multiply(X_69,X_58))]]) ).
cnf(refute_0_569,plain,
( multiply(X_57,multiply(X_69,divide(X_58,X_57))) != divide(multiply(X_69,multiply(X_68,X_58)),X_68)
| multiply(X_69,X_58) = divide(multiply(X_69,multiply(X_68,X_58)),X_68) ),
inference(resolve,[$cnf( $equal(multiply(X_57,multiply(X_69,divide(X_58,X_57))),multiply(X_69,X_58)) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
multiply(X_69,X_58) = divide(multiply(X_69,multiply(X_68,X_58)),X_68),
inference(resolve,[$cnf( $equal(multiply(X_57,multiply(X_69,divide(X_58,X_57))),divide(multiply(X_69,multiply(X_68,X_58)),X_68)) )],[refute_0_557,refute_0_569]) ).
cnf(refute_0_571,plain,
divide(multiply(X_69,multiply(X_68,X_58)),X_68) = multiply(multiply(X_68,X_58),divide(X_69,X_68)),
inference(subst,[],[refute_0_476:[bind(X_96,$fot(X_68)),bind(X_97,$fot(X_69)),bind(X_98,$fot(multiply(X_68,X_58)))]]) ).
cnf(refute_0_572,plain,
( multiply(X_69,X_58) != divide(multiply(X_69,multiply(X_68,X_58)),X_68)
| divide(multiply(X_69,multiply(X_68,X_58)),X_68) != multiply(multiply(X_68,X_58),divide(X_69,X_68))
| multiply(X_69,X_58) = multiply(multiply(X_68,X_58),divide(X_69,X_68)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_69,X_58),multiply(multiply(X_68,X_58),divide(X_69,X_68))) ),[0],$fot(divide(multiply(X_69,multiply(X_68,X_58)),X_68))]]) ).
cnf(refute_0_573,plain,
( multiply(X_69,X_58) != divide(multiply(X_69,multiply(X_68,X_58)),X_68)
| multiply(X_69,X_58) = multiply(multiply(X_68,X_58),divide(X_69,X_68)) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_69,multiply(X_68,X_58)),X_68),multiply(multiply(X_68,X_58),divide(X_69,X_68))) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
multiply(X_69,X_58) = multiply(multiply(X_68,X_58),divide(X_69,X_68)),
inference(resolve,[$cnf( $equal(multiply(X_69,X_58),divide(multiply(X_69,multiply(X_68,X_58)),X_68)) )],[refute_0_570,refute_0_573]) ).
cnf(refute_0_575,plain,
( multiply(X_69,X_58) != multiply(multiply(X_68,X_58),divide(X_69,X_68))
| multiply(multiply(X_68,X_58),divide(X_69,X_68)) = multiply(X_69,X_58) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_69,X_58))),bind(Y,$fot(multiply(multiply(X_68,X_58),divide(X_69,X_68))))]]) ).
cnf(refute_0_576,plain,
multiply(multiply(X_68,X_58),divide(X_69,X_68)) = multiply(X_69,X_58),
inference(resolve,[$cnf( $equal(multiply(X_69,X_58),multiply(multiply(X_68,X_58),divide(X_69,X_68))) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
multiply(multiply(X_76,X_113),divide(X_41,X_76)) = multiply(X_41,X_113),
inference(subst,[],[refute_0_576:[bind(X_58,$fot(X_113)),bind(X_68,$fot(X_76)),bind(X_69,$fot(X_41))]]) ).
cnf(refute_0_578,plain,
divide(multiply(X_41,multiply(X_76,X_113)),X_76) = multiply(multiply(X_76,X_113),divide(X_41,X_76)),
inference(subst,[],[refute_0_476:[bind(X_96,$fot(X_76)),bind(X_97,$fot(X_41)),bind(X_98,$fot(multiply(X_76,X_113)))]]) ).
cnf(refute_0_579,plain,
( multiply(multiply(X_76,X_113),divide(X_41,X_76)) != multiply(X_41,X_113)
| divide(multiply(X_41,multiply(X_76,X_113)),X_76) != multiply(multiply(X_76,X_113),divide(X_41,X_76))
| divide(multiply(X_41,multiply(X_76,X_113)),X_76) = multiply(X_41,X_113) ),
inference(subst,[],[refute_0_120:[bind(X,$fot(divide(multiply(X_41,multiply(X_76,X_113)),X_76))),bind(Y,$fot(multiply(multiply(X_76,X_113),divide(X_41,X_76)))),bind(Z,$fot(multiply(X_41,X_113)))]]) ).
cnf(refute_0_580,plain,
( multiply(multiply(X_76,X_113),divide(X_41,X_76)) != multiply(X_41,X_113)
| divide(multiply(X_41,multiply(X_76,X_113)),X_76) = multiply(X_41,X_113) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_41,multiply(X_76,X_113)),X_76),multiply(multiply(X_76,X_113),divide(X_41,X_76))) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
divide(multiply(X_41,multiply(X_76,X_113)),X_76) = multiply(X_41,X_113),
inference(resolve,[$cnf( $equal(multiply(multiply(X_76,X_113),divide(X_41,X_76)),multiply(X_41,X_113)) )],[refute_0_577,refute_0_580]) ).
cnf(refute_0_582,plain,
multiply(X_111,divide(multiply(X_41,multiply(X_76,X_113)),X_76)) = multiply(X_111,divide(multiply(X_41,multiply(X_76,X_113)),X_76)),
introduced(tautology,[refl,[$fot(multiply(X_111,divide(multiply(X_41,multiply(X_76,X_113)),X_76)))]]) ).
cnf(refute_0_583,plain,
( multiply(X_111,divide(multiply(X_41,multiply(X_76,X_113)),X_76)) != multiply(X_111,divide(multiply(X_41,multiply(X_76,X_113)),X_76))
| divide(multiply(X_41,multiply(X_76,X_113)),X_76) != multiply(X_41,X_113)
| multiply(X_111,divide(multiply(X_41,multiply(X_76,X_113)),X_76)) = multiply(X_111,multiply(X_41,X_113)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_111,divide(multiply(X_41,multiply(X_76,X_113)),X_76)),multiply(X_111,divide(multiply(X_41,multiply(X_76,X_113)),X_76))) ),[1,1],$fot(multiply(X_41,X_113))]]) ).
cnf(refute_0_584,plain,
( divide(multiply(X_41,multiply(X_76,X_113)),X_76) != multiply(X_41,X_113)
| multiply(X_111,divide(multiply(X_41,multiply(X_76,X_113)),X_76)) = multiply(X_111,multiply(X_41,X_113)) ),
inference(resolve,[$cnf( $equal(multiply(X_111,divide(multiply(X_41,multiply(X_76,X_113)),X_76)),multiply(X_111,divide(multiply(X_41,multiply(X_76,X_113)),X_76))) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
multiply(X_111,divide(multiply(X_41,multiply(X_76,X_113)),X_76)) = multiply(X_111,multiply(X_41,X_113)),
inference(resolve,[$cnf( $equal(divide(multiply(X_41,multiply(X_76,X_113)),X_76),multiply(X_41,X_113)) )],[refute_0_581,refute_0_584]) ).
cnf(refute_0_586,plain,
divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))) = multiply(X_111,divide(multiply(X_41,multiply(X_76,X_113)),X_76)),
inference(subst,[],[refute_0_217:[bind(A,$fot(X_111)),bind(X_42,$fot(multiply(X_41,multiply(X_76,X_113)))),bind(X_43,$fot(X_76))]]) ).
cnf(refute_0_587,plain,
( multiply(X_111,divide(multiply(X_41,multiply(X_76,X_113)),X_76)) != multiply(X_111,multiply(X_41,X_113))
| divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))) != multiply(X_111,divide(multiply(X_41,multiply(X_76,X_113)),X_76))
| divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))) = multiply(X_111,multiply(X_41,X_113)) ),
inference(subst,[],[refute_0_120:[bind(X,$fot(divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))))),bind(Y,$fot(multiply(X_111,divide(multiply(X_41,multiply(X_76,X_113)),X_76)))),bind(Z,$fot(multiply(X_111,multiply(X_41,X_113))))]]) ).
cnf(refute_0_588,plain,
( multiply(X_111,divide(multiply(X_41,multiply(X_76,X_113)),X_76)) != multiply(X_111,multiply(X_41,X_113))
| divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))) = multiply(X_111,multiply(X_41,X_113)) ),
inference(resolve,[$cnf( $equal(divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))),multiply(X_111,divide(multiply(X_41,multiply(X_76,X_113)),X_76))) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))) = multiply(X_111,multiply(X_41,X_113)),
inference(resolve,[$cnf( $equal(multiply(X_111,divide(multiply(X_41,multiply(X_76,X_113)),X_76)),multiply(X_111,multiply(X_41,X_113))) )],[refute_0_585,refute_0_588]) ).
cnf(refute_0_590,plain,
( divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))) != multiply(X_111,multiply(X_41,X_113))
| divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))) != multiply(X_113,divide(X_111,inverse(X_41)))
| multiply(X_111,multiply(X_41,X_113)) = multiply(X_113,divide(X_111,inverse(X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))),multiply(X_113,divide(X_111,inverse(X_41)))) ),[0],$fot(multiply(X_111,multiply(X_41,X_113)))]]) ).
cnf(refute_0_591,plain,
( divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))) != multiply(X_113,divide(X_111,inverse(X_41)))
| multiply(X_111,multiply(X_41,X_113)) = multiply(X_113,divide(X_111,inverse(X_41))) ),
inference(resolve,[$cnf( $equal(divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))),multiply(X_111,multiply(X_41,X_113))) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
divide(X_111,inverse(X_41)) = multiply(X_111,X_41),
inference(subst,[],[refute_0_84:[bind(A,$fot(X_111)),bind(B,$fot(X_41))]]) ).
cnf(refute_0_593,plain,
multiply(X_113,divide(X_111,inverse(X_41))) = multiply(X_113,divide(X_111,inverse(X_41))),
introduced(tautology,[refl,[$fot(multiply(X_113,divide(X_111,inverse(X_41))))]]) ).
cnf(refute_0_594,plain,
( multiply(X_113,divide(X_111,inverse(X_41))) != multiply(X_113,divide(X_111,inverse(X_41)))
| divide(X_111,inverse(X_41)) != multiply(X_111,X_41)
| multiply(X_113,divide(X_111,inverse(X_41))) = multiply(X_113,multiply(X_111,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_113,divide(X_111,inverse(X_41))),multiply(X_113,divide(X_111,inverse(X_41)))) ),[1,1],$fot(multiply(X_111,X_41))]]) ).
cnf(refute_0_595,plain,
( divide(X_111,inverse(X_41)) != multiply(X_111,X_41)
| multiply(X_113,divide(X_111,inverse(X_41))) = multiply(X_113,multiply(X_111,X_41)) ),
inference(resolve,[$cnf( $equal(multiply(X_113,divide(X_111,inverse(X_41))),multiply(X_113,divide(X_111,inverse(X_41)))) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
multiply(X_113,divide(X_111,inverse(X_41))) = multiply(X_113,multiply(X_111,X_41)),
inference(resolve,[$cnf( $equal(divide(X_111,inverse(X_41)),multiply(X_111,X_41)) )],[refute_0_592,refute_0_595]) ).
cnf(refute_0_597,plain,
( multiply(X_111,multiply(X_41,X_113)) != multiply(X_113,divide(X_111,inverse(X_41)))
| multiply(X_113,divide(X_111,inverse(X_41))) != multiply(X_113,multiply(X_111,X_41))
| multiply(X_111,multiply(X_41,X_113)) = multiply(X_113,multiply(X_111,X_41)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_111,multiply(X_41,X_113)),multiply(X_113,multiply(X_111,X_41))) ),[0],$fot(multiply(X_113,divide(X_111,inverse(X_41))))]]) ).
cnf(refute_0_598,plain,
( multiply(X_111,multiply(X_41,X_113)) != multiply(X_113,divide(X_111,inverse(X_41)))
| multiply(X_111,multiply(X_41,X_113)) = multiply(X_113,multiply(X_111,X_41)) ),
inference(resolve,[$cnf( $equal(multiply(X_113,divide(X_111,inverse(X_41))),multiply(X_113,multiply(X_111,X_41))) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
( divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))) != multiply(X_113,divide(X_111,inverse(X_41)))
| multiply(X_111,multiply(X_41,X_113)) = multiply(X_113,multiply(X_111,X_41)) ),
inference(resolve,[$cnf( $equal(multiply(X_111,multiply(X_41,X_113)),multiply(X_113,divide(X_111,inverse(X_41)))) )],[refute_0_591,refute_0_598]) ).
cnf(refute_0_600,plain,
multiply(X_111,multiply(X_41,X_113)) = multiply(X_113,multiply(X_111,X_41)),
inference(resolve,[$cnf( $equal(divide(X_111,divide(X_76,multiply(X_41,multiply(X_76,X_113)))),multiply(X_113,divide(X_111,inverse(X_41)))) )],[refute_0_521,refute_0_599]) ).
cnf(refute_0_601,plain,
( multiply(X_111,multiply(X_41,X_113)) != multiply(X_113,multiply(X_111,X_41))
| multiply(X_113,multiply(X_111,X_41)) = multiply(X_111,multiply(X_41,X_113)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_111,multiply(X_41,X_113)))),bind(Y,$fot(multiply(X_113,multiply(X_111,X_41))))]]) ).
cnf(refute_0_602,plain,
multiply(X_113,multiply(X_111,X_41)) = multiply(X_111,multiply(X_41,X_113)),
inference(resolve,[$cnf( $equal(multiply(X_111,multiply(X_41,X_113)),multiply(X_113,multiply(X_111,X_41))) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_602:[bind(X_111,$fot(a3)),bind(X_113,$fot(c3)),bind(X_41,$fot(b3))]]) ).
cnf(refute_0_604,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_605,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_603,refute_0_604]) ).
cnf(refute_0_606,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_605,refute_0_246]) ).
cnf(refute_0_607,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_608,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_607,refute_0_606]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP543-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 17:02:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.58
% 0.20/0.58 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.47/0.66
%------------------------------------------------------------------------------