TSTP Solution File: GRP456-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP456-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n005.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 10:40:45 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 82
% Number of leaves : 153
% Syntax : Number of clauses : 545 ( 278 unt; 0 nHn; 256 RR)
% Number of literals : 936 ( 935 equ; 393 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 11 ( 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 : 1146 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),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( $equal(inverse(A),divide(identity,A)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
( identity != divide(A,A)
| divide(A,A) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(divide(A,A)))]]) ).
cnf(refute_0_6,plain,
divide(A,A) = identity,
inference(resolve,[$cnf( $equal(identity,divide(A,A)) )],[identity,refute_0_5]) ).
cnf(refute_0_7,plain,
divide(divide(A,A),A) = divide(divide(A,A),A),
introduced(tautology,[refl,[$fot(divide(divide(A,A),A))]]) ).
cnf(refute_0_8,plain,
( divide(A,A) != identity
| divide(divide(A,A),A) != divide(divide(A,A),A)
| divide(divide(A,A),A) = divide(identity,A) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,A),A),divide(divide(A,A),A)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_9,plain,
( divide(A,A) != identity
| divide(divide(A,A),A) = divide(identity,A) ),
inference(resolve,[$cnf( $equal(divide(divide(A,A),A),divide(divide(A,A),A)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
divide(divide(A,A),A) = divide(identity,A),
inference(resolve,[$cnf( $equal(divide(A,A),identity) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_12,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_11]) ).
cnf(refute_0_13,plain,
( divide(divide(A,A),A) != divide(identity,A)
| divide(identity,A) != inverse(A)
| divide(divide(A,A),A) = inverse(A) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(divide(divide(A,A),A))),bind(Y,$fot(divide(identity,A))),bind(Z,$fot(inverse(A)))]]) ).
cnf(refute_0_14,plain,
( divide(identity,A) != inverse(A)
| divide(divide(A,A),A) = inverse(A) ),
inference(resolve,[$cnf( $equal(divide(divide(A,A),A),divide(identity,A)) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
divide(divide(A,A),A) = inverse(A),
inference(resolve,[$cnf( $equal(divide(identity,A),inverse(A)) )],[refute_0_4,refute_0_14]) ).
cnf(refute_0_16,plain,
divide(divide(divide(A,A),A),C) = divide(divide(divide(A,A),A),C),
introduced(tautology,[refl,[$fot(divide(divide(divide(A,A),A),C))]]) ).
cnf(refute_0_17,plain,
( divide(divide(A,A),A) != inverse(A)
| divide(divide(divide(A,A),A),C) != divide(divide(divide(A,A),A),C)
| divide(divide(divide(A,A),A),C) = divide(inverse(A),C) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(A,A),A),C),divide(divide(divide(A,A),A),C)) ),[1,0],$fot(inverse(A))]]) ).
cnf(refute_0_18,plain,
( divide(divide(A,A),A) != inverse(A)
| divide(divide(divide(A,A),A),C) = divide(inverse(A),C) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(A,A),A),C),divide(divide(divide(A,A),A),C)) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
divide(divide(divide(A,A),A),C) = divide(inverse(A),C),
inference(resolve,[$cnf( $equal(divide(divide(A,A),A),inverse(A)) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
divide(B,divide(divide(divide(A,A),A),C)) = divide(B,divide(divide(divide(A,A),A),C)),
introduced(tautology,[refl,[$fot(divide(B,divide(divide(divide(A,A),A),C)))]]) ).
cnf(refute_0_21,plain,
( divide(B,divide(divide(divide(A,A),A),C)) != divide(B,divide(divide(divide(A,A),A),C))
| divide(divide(divide(A,A),A),C) != divide(inverse(A),C)
| divide(B,divide(divide(divide(A,A),A),C)) = divide(B,divide(inverse(A),C)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(B,divide(divide(divide(A,A),A),C)),divide(B,divide(divide(divide(A,A),A),C))) ),[1,1],$fot(divide(inverse(A),C))]]) ).
cnf(refute_0_22,plain,
( divide(divide(divide(A,A),A),C) != divide(inverse(A),C)
| divide(B,divide(divide(divide(A,A),A),C)) = divide(B,divide(inverse(A),C)) ),
inference(resolve,[$cnf( $equal(divide(B,divide(divide(divide(A,A),A),C)),divide(B,divide(divide(divide(A,A),A),C))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
divide(B,divide(divide(divide(A,A),A),C)) = divide(B,divide(inverse(A),C)),
inference(resolve,[$cnf( $equal(divide(divide(divide(A,A),A),C),divide(inverse(A),C)) )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
divide(A,divide(B,divide(divide(divide(A,A),A),C))) = divide(A,divide(B,divide(divide(divide(A,A),A),C))),
introduced(tautology,[refl,[$fot(divide(A,divide(B,divide(divide(divide(A,A),A),C))))]]) ).
cnf(refute_0_25,plain,
( divide(A,divide(B,divide(divide(divide(A,A),A),C))) != divide(A,divide(B,divide(divide(divide(A,A),A),C)))
| divide(B,divide(divide(divide(A,A),A),C)) != divide(B,divide(inverse(A),C))
| divide(A,divide(B,divide(divide(divide(A,A),A),C))) = divide(A,divide(B,divide(inverse(A),C))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(B,divide(divide(divide(A,A),A),C))),divide(A,divide(B,divide(divide(divide(A,A),A),C)))) ),[1,1],$fot(divide(B,divide(inverse(A),C)))]]) ).
cnf(refute_0_26,plain,
( divide(B,divide(divide(divide(A,A),A),C)) != divide(B,divide(inverse(A),C))
| divide(A,divide(B,divide(divide(divide(A,A),A),C))) = divide(A,divide(B,divide(inverse(A),C))) ),
inference(resolve,[$cnf( $equal(divide(A,divide(B,divide(divide(divide(A,A),A),C))),divide(A,divide(B,divide(divide(divide(A,A),A),C)))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
divide(A,divide(B,divide(divide(divide(A,A),A),C))) = divide(A,divide(B,divide(inverse(A),C))),
inference(resolve,[$cnf( $equal(divide(B,divide(divide(divide(A,A),A),C)),divide(B,divide(inverse(A),C))) )],[refute_0_23,refute_0_26]) ).
cnf(refute_0_28,plain,
inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))) = inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))),
introduced(tautology,[refl,[$fot(inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))))]]) ).
cnf(refute_0_29,plain,
( divide(A,divide(B,divide(divide(divide(A,A),A),C))) != divide(A,divide(B,divide(inverse(A),C)))
| inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))) != inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C))))
| inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))) = inverse(divide(A,divide(B,divide(inverse(A),C)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))),inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C))))) ),[1,0],$fot(divide(A,divide(B,divide(inverse(A),C))))]]) ).
cnf(refute_0_30,plain,
( divide(A,divide(B,divide(divide(divide(A,A),A),C))) != divide(A,divide(B,divide(inverse(A),C)))
| inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))) = inverse(divide(A,divide(B,divide(inverse(A),C)))) ),
inference(resolve,[$cnf( $equal(inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))),inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C))))) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))) = inverse(divide(A,divide(B,divide(inverse(A),C)))),
inference(resolve,[$cnf( $equal(divide(A,divide(B,divide(divide(divide(A,A),A),C))),divide(A,divide(B,divide(inverse(A),C)))) )],[refute_0_27,refute_0_30]) ).
cnf(refute_0_32,plain,
divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))) = inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(divide(A,divide(B,divide(divide(divide(A,A),A),C)))))]]) ).
cnf(refute_0_33,plain,
( divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))) != inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C))))
| inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))) != inverse(divide(A,divide(B,divide(inverse(A),C))))
| divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))) = inverse(divide(A,divide(B,divide(inverse(A),C)))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))))),bind(Y,$fot(inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))))),bind(Z,$fot(inverse(divide(A,divide(B,divide(inverse(A),C))))))]]) ).
cnf(refute_0_34,plain,
( inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))) != inverse(divide(A,divide(B,divide(inverse(A),C))))
| divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))) = inverse(divide(A,divide(B,divide(inverse(A),C)))) ),
inference(resolve,[$cnf( $equal(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C))))) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))) = inverse(divide(A,divide(B,divide(inverse(A),C)))),
inference(resolve,[$cnf( $equal(inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))),inverse(divide(A,divide(B,divide(inverse(A),C))))) )],[refute_0_31,refute_0_34]) ).
cnf(refute_0_36,plain,
divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C),
introduced(tautology,[refl,[$fot(divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C))]]) ).
cnf(refute_0_37,plain,
( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) != divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C)
| divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))) != inverse(divide(A,divide(B,divide(inverse(A),C))))
| divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C),divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C)) ),[1,0],$fot(inverse(divide(A,divide(B,divide(inverse(A),C)))))]]) ).
cnf(refute_0_38,plain,
( divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))) != inverse(divide(A,divide(B,divide(inverse(A),C))))
| divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C),divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C)) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C),
inference(resolve,[$cnf( $equal(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),inverse(divide(A,divide(B,divide(inverse(A),C))))) )],[refute_0_35,refute_0_38]) ).
cnf(refute_0_40,plain,
( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) != B
| divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) != divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C)
| divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C),B) ),[0],$fot(divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C))]]) ).
cnf(refute_0_41,plain,
( divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) != B
| divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C) = B ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C),divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C)) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C) = B,
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C),B) )],[single_axiom,refute_0_41]) ).
cnf(refute_0_43,plain,
divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C)))),C) = B,
inference(subst,[],[refute_0_42:[bind(A,$fot(divide(X_7,divide(X_8,divide(inverse(X_7),C)))))]]) ).
cnf(refute_0_44,plain,
divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C) = X_8,
inference(subst,[],[refute_0_42:[bind(A,$fot(X_7)),bind(B,$fot(X_8))]]) ).
cnf(refute_0_45,plain,
( divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C) != X_8
| divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C)))),C) != B
| divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,X_8))),C) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C)))),C),B) ),[0,0,0,1,1],$fot(X_8)]]) ).
cnf(refute_0_46,plain,
( divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C)))),C) != B
| divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,X_8))),C) = B ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C),X_8) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,X_8))),C) = B,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C)))),C),B) )],[refute_0_43,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(divide(B,X_8),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C)) = multiply(divide(B,X_8),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C)),
introduced(tautology,[refl,[$fot(multiply(divide(B,X_8),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C)))]]) ).
cnf(refute_0_49,plain,
( multiply(divide(B,X_8),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C)) != multiply(divide(B,X_8),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C))
| divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C) != X_8
| multiply(divide(B,X_8),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C)) = multiply(divide(B,X_8),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(B,X_8),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C)),multiply(divide(B,X_8),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C))) ),[1,1],$fot(X_8)]]) ).
cnf(refute_0_50,plain,
( divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C) != X_8
| multiply(divide(B,X_8),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C)) = multiply(divide(B,X_8),X_8) ),
inference(resolve,[$cnf( $equal(multiply(divide(B,X_8),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C)),multiply(divide(B,X_8),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
multiply(divide(B,X_8),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C)) = multiply(divide(B,X_8),X_8),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C),X_8) )],[refute_0_44,refute_0_50]) ).
cnf(refute_0_52,plain,
divide(inverse(divide(A,divide(inverse(inverse(multiply(X_10,divide(inverse(A),C)))),divide(inverse(A),C)))),C) = inverse(inverse(multiply(X_10,divide(inverse(A),C)))),
inference(subst,[],[refute_0_42:[bind(B,$fot(inverse(inverse(multiply(X_10,divide(inverse(A),C))))))]]) ).
cnf(refute_0_53,plain,
divide(inverse(divide(identity,divide(X_8,divide(inverse(identity),X_9)))),X_9) = X_8,
inference(subst,[],[refute_0_42:[bind(A,$fot(identity)),bind(B,$fot(X_8)),bind(C,$fot(X_9))]]) ).
cnf(refute_0_54,plain,
identity = divide(identity,identity),
inference(subst,[],[identity:[bind(A,$fot(identity))]]) ).
cnf(refute_0_55,plain,
inverse(identity) = divide(identity,identity),
inference(subst,[],[inverse:[bind(A,$fot(identity))]]) ).
cnf(refute_0_56,plain,
( inverse(identity) != divide(identity,identity)
| divide(identity,identity) = inverse(identity) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(identity))),bind(Y,$fot(divide(identity,identity)))]]) ).
cnf(refute_0_57,plain,
divide(identity,identity) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),divide(identity,identity)) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
( divide(identity,identity) != inverse(identity)
| identity != divide(identity,identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(identity,divide(identity,identity)) ),[1],$fot(inverse(identity))]]) ).
cnf(refute_0_59,plain,
( identity != divide(identity,identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(divide(identity,identity),inverse(identity)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(identity,divide(identity,identity)) )],[refute_0_54,refute_0_59]) ).
cnf(refute_0_61,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(identity)))]]) ).
cnf(refute_0_62,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
( divide(inverse(divide(identity,divide(X_8,divide(inverse(identity),X_9)))),X_9) != X_8
| inverse(identity) != identity
| divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(identity,divide(X_8,divide(inverse(identity),X_9)))),X_9),X_8) ),[0,0,0,1,1,0],$fot(identity)]]) ).
cnf(refute_0_64,plain,
( divide(inverse(divide(identity,divide(X_8,divide(inverse(identity),X_9)))),X_9) != X_8
| divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = X_8 ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,divide(X_8,divide(inverse(identity),X_9)))),X_9),X_8) )],[refute_0_53,refute_0_64]) ).
cnf(refute_0_66,plain,
divide(identity,B) = inverse(B),
inference(subst,[],[refute_0_4:[bind(A,$fot(B))]]) ).
cnf(refute_0_67,plain,
divide(A,divide(identity,B)) = divide(A,divide(identity,B)),
introduced(tautology,[refl,[$fot(divide(A,divide(identity,B)))]]) ).
cnf(refute_0_68,plain,
( divide(A,divide(identity,B)) != divide(A,divide(identity,B))
| divide(identity,B) != inverse(B)
| divide(A,divide(identity,B)) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(identity,B)),divide(A,divide(identity,B))) ),[1,1],$fot(inverse(B))]]) ).
cnf(refute_0_69,plain,
( divide(identity,B) != inverse(B)
| divide(A,divide(identity,B)) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(identity,B)),divide(A,divide(identity,B))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
divide(A,divide(identity,B)) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(divide(identity,B),inverse(B)) )],[refute_0_66,refute_0_69]) ).
cnf(refute_0_71,plain,
( multiply(A,B) != divide(A,divide(identity,B))
| divide(A,divide(identity,B)) != divide(A,inverse(B))
| multiply(A,B) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),divide(A,inverse(B))) ),[0],$fot(divide(A,divide(identity,B)))]]) ).
cnf(refute_0_72,plain,
( multiply(A,B) != divide(A,divide(identity,B))
| multiply(A,B) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(identity,B)),divide(A,inverse(B))) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
multiply(A,B) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,divide(identity,B))) )],[multiply,refute_0_72]) ).
cnf(refute_0_74,plain,
( multiply(A,B) != divide(A,inverse(B))
| divide(A,inverse(B)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(divide(A,inverse(B))))]]) ).
cnf(refute_0_75,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,inverse(B))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
divide(X_8,inverse(X_9)) = multiply(X_8,X_9),
inference(subst,[],[refute_0_75:[bind(A,$fot(X_8)),bind(B,$fot(X_9))]]) ).
cnf(refute_0_77,plain,
divide(identity,X_9) = inverse(X_9),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_9))]]) ).
cnf(refute_0_78,plain,
divide(X_8,divide(identity,X_9)) = divide(X_8,divide(identity,X_9)),
introduced(tautology,[refl,[$fot(divide(X_8,divide(identity,X_9)))]]) ).
cnf(refute_0_79,plain,
( divide(X_8,divide(identity,X_9)) != divide(X_8,divide(identity,X_9))
| divide(identity,X_9) != inverse(X_9)
| divide(X_8,divide(identity,X_9)) = divide(X_8,inverse(X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_8,divide(identity,X_9)),divide(X_8,divide(identity,X_9))) ),[1,1],$fot(inverse(X_9))]]) ).
cnf(refute_0_80,plain,
( divide(identity,X_9) != inverse(X_9)
| divide(X_8,divide(identity,X_9)) = divide(X_8,inverse(X_9)) ),
inference(resolve,[$cnf( $equal(divide(X_8,divide(identity,X_9)),divide(X_8,divide(identity,X_9))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
divide(X_8,divide(identity,X_9)) = divide(X_8,inverse(X_9)),
inference(resolve,[$cnf( $equal(divide(identity,X_9),inverse(X_9)) )],[refute_0_77,refute_0_80]) ).
cnf(refute_0_82,plain,
( divide(X_8,divide(identity,X_9)) != divide(X_8,inverse(X_9))
| divide(X_8,inverse(X_9)) != multiply(X_8,X_9)
| divide(X_8,divide(identity,X_9)) = multiply(X_8,X_9) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(divide(X_8,divide(identity,X_9)))),bind(Y,$fot(divide(X_8,inverse(X_9)))),bind(Z,$fot(multiply(X_8,X_9)))]]) ).
cnf(refute_0_83,plain,
( divide(X_8,inverse(X_9)) != multiply(X_8,X_9)
| divide(X_8,divide(identity,X_9)) = multiply(X_8,X_9) ),
inference(resolve,[$cnf( $equal(divide(X_8,divide(identity,X_9)),divide(X_8,inverse(X_9))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
divide(X_8,divide(identity,X_9)) = multiply(X_8,X_9),
inference(resolve,[$cnf( $equal(divide(X_8,inverse(X_9)),multiply(X_8,X_9)) )],[refute_0_76,refute_0_83]) ).
cnf(refute_0_85,plain,
inverse(divide(X_8,divide(identity,X_9))) = inverse(divide(X_8,divide(identity,X_9))),
introduced(tautology,[refl,[$fot(inverse(divide(X_8,divide(identity,X_9))))]]) ).
cnf(refute_0_86,plain,
( divide(X_8,divide(identity,X_9)) != multiply(X_8,X_9)
| inverse(divide(X_8,divide(identity,X_9))) != inverse(divide(X_8,divide(identity,X_9)))
| inverse(divide(X_8,divide(identity,X_9))) = inverse(multiply(X_8,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_8,divide(identity,X_9))),inverse(divide(X_8,divide(identity,X_9)))) ),[1,0],$fot(multiply(X_8,X_9))]]) ).
cnf(refute_0_87,plain,
( divide(X_8,divide(identity,X_9)) != multiply(X_8,X_9)
| inverse(divide(X_8,divide(identity,X_9))) = inverse(multiply(X_8,X_9)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_8,divide(identity,X_9))),inverse(divide(X_8,divide(identity,X_9)))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
inverse(divide(X_8,divide(identity,X_9))) = inverse(multiply(X_8,X_9)),
inference(resolve,[$cnf( $equal(divide(X_8,divide(identity,X_9)),multiply(X_8,X_9)) )],[refute_0_84,refute_0_87]) ).
cnf(refute_0_89,plain,
divide(identity,divide(X_8,divide(identity,X_9))) = inverse(divide(X_8,divide(identity,X_9))),
inference(subst,[],[refute_0_4:[bind(A,$fot(divide(X_8,divide(identity,X_9))))]]) ).
cnf(refute_0_90,plain,
( divide(identity,divide(X_8,divide(identity,X_9))) != inverse(divide(X_8,divide(identity,X_9)))
| inverse(divide(X_8,divide(identity,X_9))) != inverse(multiply(X_8,X_9))
| divide(identity,divide(X_8,divide(identity,X_9))) = inverse(multiply(X_8,X_9)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(divide(identity,divide(X_8,divide(identity,X_9))))),bind(Y,$fot(inverse(divide(X_8,divide(identity,X_9))))),bind(Z,$fot(inverse(multiply(X_8,X_9))))]]) ).
cnf(refute_0_91,plain,
( inverse(divide(X_8,divide(identity,X_9))) != inverse(multiply(X_8,X_9))
| divide(identity,divide(X_8,divide(identity,X_9))) = inverse(multiply(X_8,X_9)) ),
inference(resolve,[$cnf( $equal(divide(identity,divide(X_8,divide(identity,X_9))),inverse(divide(X_8,divide(identity,X_9)))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
divide(identity,divide(X_8,divide(identity,X_9))) = inverse(multiply(X_8,X_9)),
inference(resolve,[$cnf( $equal(inverse(divide(X_8,divide(identity,X_9))),inverse(multiply(X_8,X_9))) )],[refute_0_88,refute_0_91]) ).
cnf(refute_0_93,plain,
inverse(divide(identity,divide(X_8,divide(identity,X_9)))) = inverse(divide(identity,divide(X_8,divide(identity,X_9)))),
introduced(tautology,[refl,[$fot(inverse(divide(identity,divide(X_8,divide(identity,X_9)))))]]) ).
cnf(refute_0_94,plain,
( divide(identity,divide(X_8,divide(identity,X_9))) != inverse(multiply(X_8,X_9))
| inverse(divide(identity,divide(X_8,divide(identity,X_9)))) != inverse(divide(identity,divide(X_8,divide(identity,X_9))))
| inverse(divide(identity,divide(X_8,divide(identity,X_9)))) = inverse(inverse(multiply(X_8,X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),inverse(divide(identity,divide(X_8,divide(identity,X_9))))) ),[1,0],$fot(inverse(multiply(X_8,X_9)))]]) ).
cnf(refute_0_95,plain,
( divide(identity,divide(X_8,divide(identity,X_9))) != inverse(multiply(X_8,X_9))
| inverse(divide(identity,divide(X_8,divide(identity,X_9)))) = inverse(inverse(multiply(X_8,X_9))) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),inverse(divide(identity,divide(X_8,divide(identity,X_9))))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
inverse(divide(identity,divide(X_8,divide(identity,X_9)))) = inverse(inverse(multiply(X_8,X_9))),
inference(resolve,[$cnf( $equal(divide(identity,divide(X_8,divide(identity,X_9))),inverse(multiply(X_8,X_9))) )],[refute_0_92,refute_0_95]) ).
cnf(refute_0_97,plain,
divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9),
introduced(tautology,[refl,[$fot(divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9))]]) ).
cnf(refute_0_98,plain,
( divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) != divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9)
| inverse(divide(identity,divide(X_8,divide(identity,X_9)))) != inverse(inverse(multiply(X_8,X_9)))
| divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = divide(inverse(inverse(multiply(X_8,X_9))),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9),divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9)) ),[1,0],$fot(inverse(inverse(multiply(X_8,X_9))))]]) ).
cnf(refute_0_99,plain,
( inverse(divide(identity,divide(X_8,divide(identity,X_9)))) != inverse(inverse(multiply(X_8,X_9)))
| divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = divide(inverse(inverse(multiply(X_8,X_9))),X_9) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9),divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9)) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = divide(inverse(inverse(multiply(X_8,X_9))),X_9),
inference(resolve,[$cnf( $equal(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),inverse(inverse(multiply(X_8,X_9)))) )],[refute_0_96,refute_0_99]) ).
cnf(refute_0_101,plain,
( divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) != X_8
| divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) != divide(inverse(inverse(multiply(X_8,X_9))),X_9)
| divide(inverse(inverse(multiply(X_8,X_9))),X_9) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9),X_8) ),[0],$fot(divide(inverse(inverse(multiply(X_8,X_9))),X_9))]]) ).
cnf(refute_0_102,plain,
( divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) != X_8
| divide(inverse(inverse(multiply(X_8,X_9))),X_9) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9),divide(inverse(inverse(multiply(X_8,X_9))),X_9)) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
divide(inverse(inverse(multiply(X_8,X_9))),X_9) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9),X_8) )],[refute_0_65,refute_0_102]) ).
cnf(refute_0_104,plain,
divide(inverse(inverse(multiply(X_10,divide(inverse(A),C)))),divide(inverse(A),C)) = X_10,
inference(subst,[],[refute_0_103:[bind(X_8,$fot(X_10)),bind(X_9,$fot(divide(inverse(A),C)))]]) ).
cnf(refute_0_105,plain,
( divide(inverse(divide(A,divide(inverse(inverse(multiply(X_10,divide(inverse(A),C)))),divide(inverse(A),C)))),C) != inverse(inverse(multiply(X_10,divide(inverse(A),C))))
| divide(inverse(inverse(multiply(X_10,divide(inverse(A),C)))),divide(inverse(A),C)) != X_10
| divide(inverse(divide(A,X_10)),C) = inverse(inverse(multiply(X_10,divide(inverse(A),C)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(A,divide(inverse(inverse(multiply(X_10,divide(inverse(A),C)))),divide(inverse(A),C)))),C),inverse(inverse(multiply(X_10,divide(inverse(A),C))))) ),[0,0,0,1],$fot(X_10)]]) ).
cnf(refute_0_106,plain,
( divide(inverse(divide(A,divide(inverse(inverse(multiply(X_10,divide(inverse(A),C)))),divide(inverse(A),C)))),C) != inverse(inverse(multiply(X_10,divide(inverse(A),C))))
| divide(inverse(divide(A,X_10)),C) = inverse(inverse(multiply(X_10,divide(inverse(A),C)))) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(X_10,divide(inverse(A),C)))),divide(inverse(A),C)),X_10) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
divide(inverse(divide(A,X_10)),C) = inverse(inverse(multiply(X_10,divide(inverse(A),C)))),
inference(resolve,[$cnf( $equal(divide(inverse(divide(A,divide(inverse(inverse(multiply(X_10,divide(inverse(A),C)))),divide(inverse(A),C)))),C),inverse(inverse(multiply(X_10,divide(inverse(A),C))))) )],[refute_0_52,refute_0_106]) ).
cnf(refute_0_108,plain,
divide(inverse(inverse(multiply(inverse(inverse(multiply(X_13,identity))),identity))),identity) = inverse(inverse(multiply(X_13,identity))),
inference(subst,[],[refute_0_103:[bind(X_8,$fot(inverse(inverse(multiply(X_13,identity))))),bind(X_9,$fot(identity))]]) ).
cnf(refute_0_109,plain,
multiply(X_2,identity) = divide(X_2,inverse(identity)),
inference(subst,[],[refute_0_73:[bind(A,$fot(X_2)),bind(B,$fot(identity))]]) ).
cnf(refute_0_110,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| inverse(identity) != identity
| multiply(X_2,identity) = divide(X_2,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_111,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| multiply(X_2,identity) = divide(X_2,identity) ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_62,refute_0_110]) ).
cnf(refute_0_112,plain,
multiply(X_2,identity) = divide(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) )],[refute_0_109,refute_0_111]) ).
cnf(refute_0_113,plain,
multiply(inverse(inverse(multiply(X_10,identity))),identity) = divide(inverse(inverse(multiply(X_10,identity))),identity),
inference(subst,[],[refute_0_112:[bind(X_2,$fot(inverse(inverse(multiply(X_10,identity)))))]]) ).
cnf(refute_0_114,plain,
divide(inverse(inverse(multiply(X_10,identity))),identity) = X_10,
inference(subst,[],[refute_0_103:[bind(X_8,$fot(X_10)),bind(X_9,$fot(identity))]]) ).
cnf(refute_0_115,plain,
( multiply(inverse(inverse(multiply(X_10,identity))),identity) != divide(inverse(inverse(multiply(X_10,identity))),identity)
| divide(inverse(inverse(multiply(X_10,identity))),identity) != X_10
| multiply(inverse(inverse(multiply(X_10,identity))),identity) = X_10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(inverse(multiply(X_10,identity))),identity),X_10) ),[0],$fot(divide(inverse(inverse(multiply(X_10,identity))),identity))]]) ).
cnf(refute_0_116,plain,
( multiply(inverse(inverse(multiply(X_10,identity))),identity) != divide(inverse(inverse(multiply(X_10,identity))),identity)
| multiply(inverse(inverse(multiply(X_10,identity))),identity) = X_10 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(X_10,identity))),identity),X_10) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
multiply(inverse(inverse(multiply(X_10,identity))),identity) = X_10,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_10,identity))),identity),divide(inverse(inverse(multiply(X_10,identity))),identity)) )],[refute_0_113,refute_0_116]) ).
cnf(refute_0_118,plain,
multiply(inverse(inverse(multiply(X_13,identity))),identity) = X_13,
inference(subst,[],[refute_0_117:[bind(X_10,$fot(X_13))]]) ).
cnf(refute_0_119,plain,
( multiply(inverse(inverse(multiply(X_13,identity))),identity) != X_13
| divide(inverse(inverse(multiply(inverse(inverse(multiply(X_13,identity))),identity))),identity) != inverse(inverse(multiply(X_13,identity)))
| divide(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(multiply(inverse(inverse(multiply(X_13,identity))),identity))),identity),inverse(inverse(multiply(X_13,identity)))) ),[0,0,0,0],$fot(X_13)]]) ).
cnf(refute_0_120,plain,
( divide(inverse(inverse(multiply(inverse(inverse(multiply(X_13,identity))),identity))),identity) != inverse(inverse(multiply(X_13,identity)))
| divide(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_13,identity))),identity),X_13) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
divide(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(inverse(inverse(multiply(X_13,identity))),identity))),identity),inverse(inverse(multiply(X_13,identity)))) )],[refute_0_108,refute_0_120]) ).
cnf(refute_0_122,plain,
( multiply(X_2,identity) != divide(X_2,identity)
| divide(X_2,identity) = multiply(X_2,identity) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_2,identity))),bind(Y,$fot(divide(X_2,identity)))]]) ).
cnf(refute_0_123,plain,
divide(X_2,identity) = multiply(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,identity)) )],[refute_0_112,refute_0_122]) ).
cnf(refute_0_124,plain,
divide(inverse(inverse(X_13)),identity) = multiply(inverse(inverse(X_13)),identity),
inference(subst,[],[refute_0_123:[bind(X_2,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_125,plain,
( divide(inverse(inverse(X_13)),identity) != multiply(inverse(inverse(X_13)),identity)
| divide(inverse(inverse(X_13)),identity) != inverse(inverse(multiply(X_13,identity)))
| multiply(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_13)),identity),inverse(inverse(multiply(X_13,identity)))) ),[0],$fot(multiply(inverse(inverse(X_13)),identity))]]) ).
cnf(refute_0_126,plain,
( divide(inverse(inverse(X_13)),identity) != inverse(inverse(multiply(X_13,identity)))
| multiply(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_13)),identity),multiply(inverse(inverse(X_13)),identity)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
multiply(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_13)),identity),inverse(inverse(multiply(X_13,identity)))) )],[refute_0_121,refute_0_126]) ).
cnf(refute_0_128,plain,
divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(X_7))))),inverse(X_7)) = X_8,
inference(subst,[],[refute_0_42:[bind(A,$fot(X_7)),bind(B,$fot(X_8)),bind(C,$fot(inverse(X_7)))]]) ).
cnf(refute_0_129,plain,
identity = divide(inverse(X_7),inverse(X_7)),
inference(subst,[],[identity:[bind(A,$fot(inverse(X_7)))]]) ).
cnf(refute_0_130,plain,
( identity != divide(inverse(X_7),inverse(X_7))
| divide(inverse(X_7),inverse(X_7)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(divide(inverse(X_7),inverse(X_7))))]]) ).
cnf(refute_0_131,plain,
divide(inverse(X_7),inverse(X_7)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(inverse(X_7),inverse(X_7))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
( divide(inverse(X_7),inverse(X_7)) != identity
| divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(X_7))))),inverse(X_7)) != X_8
| divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(X_7))))),inverse(X_7)),X_8) ),[0,0,0,1,1],$fot(identity)]]) ).
cnf(refute_0_133,plain,
( divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(X_7))))),inverse(X_7)) != X_8
| divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),inverse(X_7)),identity) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(X_7))))),inverse(X_7)),X_8) )],[refute_0_128,refute_0_133]) ).
cnf(refute_0_135,plain,
divide(X_8,identity) = multiply(X_8,identity),
inference(subst,[],[refute_0_123:[bind(X_2,$fot(X_8))]]) ).
cnf(refute_0_136,plain,
divide(X_7,divide(X_8,identity)) = divide(X_7,divide(X_8,identity)),
introduced(tautology,[refl,[$fot(divide(X_7,divide(X_8,identity)))]]) ).
cnf(refute_0_137,plain,
( divide(X_7,divide(X_8,identity)) != divide(X_7,divide(X_8,identity))
| divide(X_8,identity) != multiply(X_8,identity)
| divide(X_7,divide(X_8,identity)) = divide(X_7,multiply(X_8,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,divide(X_8,identity)),divide(X_7,divide(X_8,identity))) ),[1,1],$fot(multiply(X_8,identity))]]) ).
cnf(refute_0_138,plain,
( divide(X_8,identity) != multiply(X_8,identity)
| divide(X_7,divide(X_8,identity)) = divide(X_7,multiply(X_8,identity)) ),
inference(resolve,[$cnf( $equal(divide(X_7,divide(X_8,identity)),divide(X_7,divide(X_8,identity))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
divide(X_7,divide(X_8,identity)) = divide(X_7,multiply(X_8,identity)),
inference(resolve,[$cnf( $equal(divide(X_8,identity),multiply(X_8,identity)) )],[refute_0_135,refute_0_138]) ).
cnf(refute_0_140,plain,
inverse(divide(X_7,divide(X_8,identity))) = inverse(divide(X_7,divide(X_8,identity))),
introduced(tautology,[refl,[$fot(inverse(divide(X_7,divide(X_8,identity))))]]) ).
cnf(refute_0_141,plain,
( divide(X_7,divide(X_8,identity)) != divide(X_7,multiply(X_8,identity))
| inverse(divide(X_7,divide(X_8,identity))) != inverse(divide(X_7,divide(X_8,identity)))
| inverse(divide(X_7,divide(X_8,identity))) = inverse(divide(X_7,multiply(X_8,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_7,divide(X_8,identity))),inverse(divide(X_7,divide(X_8,identity)))) ),[1,0],$fot(divide(X_7,multiply(X_8,identity)))]]) ).
cnf(refute_0_142,plain,
( divide(X_7,divide(X_8,identity)) != divide(X_7,multiply(X_8,identity))
| inverse(divide(X_7,divide(X_8,identity))) = inverse(divide(X_7,multiply(X_8,identity))) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,divide(X_8,identity))),inverse(divide(X_7,divide(X_8,identity)))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
inverse(divide(X_7,divide(X_8,identity))) = inverse(divide(X_7,multiply(X_8,identity))),
inference(resolve,[$cnf( $equal(divide(X_7,divide(X_8,identity)),divide(X_7,multiply(X_8,identity))) )],[refute_0_139,refute_0_142]) ).
cnf(refute_0_144,plain,
multiply(inverse(divide(X_7,divide(X_8,identity))),X_7) = multiply(inverse(divide(X_7,divide(X_8,identity))),X_7),
introduced(tautology,[refl,[$fot(multiply(inverse(divide(X_7,divide(X_8,identity))),X_7))]]) ).
cnf(refute_0_145,plain,
( multiply(inverse(divide(X_7,divide(X_8,identity))),X_7) != multiply(inverse(divide(X_7,divide(X_8,identity))),X_7)
| inverse(divide(X_7,divide(X_8,identity))) != inverse(divide(X_7,multiply(X_8,identity)))
| multiply(inverse(divide(X_7,divide(X_8,identity))),X_7) = multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,identity))),X_7),multiply(inverse(divide(X_7,divide(X_8,identity))),X_7)) ),[1,0],$fot(inverse(divide(X_7,multiply(X_8,identity))))]]) ).
cnf(refute_0_146,plain,
( inverse(divide(X_7,divide(X_8,identity))) != inverse(divide(X_7,multiply(X_8,identity)))
| multiply(inverse(divide(X_7,divide(X_8,identity))),X_7) = multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,identity))),X_7),multiply(inverse(divide(X_7,divide(X_8,identity))),X_7)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
multiply(inverse(divide(X_7,divide(X_8,identity))),X_7) = multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,divide(X_8,identity))),inverse(divide(X_7,multiply(X_8,identity)))) )],[refute_0_143,refute_0_146]) ).
cnf(refute_0_148,plain,
divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = multiply(inverse(divide(X_7,divide(X_8,identity))),X_7),
inference(subst,[],[refute_0_75:[bind(A,$fot(inverse(divide(X_7,divide(X_8,identity))))),bind(B,$fot(X_7))]]) ).
cnf(refute_0_149,plain,
( multiply(inverse(divide(X_7,divide(X_8,identity))),X_7) != multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)
| divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) != multiply(inverse(divide(X_7,divide(X_8,identity))),X_7)
| divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)))),bind(Y,$fot(multiply(inverse(divide(X_7,divide(X_8,identity))),X_7))),bind(Z,$fot(multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)))]]) ).
cnf(refute_0_150,plain,
( multiply(inverse(divide(X_7,divide(X_8,identity))),X_7) != multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)
| divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)),multiply(inverse(divide(X_7,divide(X_8,identity))),X_7)) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,identity))),X_7),multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)) )],[refute_0_147,refute_0_150]) ).
cnf(refute_0_152,plain,
( divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) != X_8
| divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) != multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)
| multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)),X_8) ),[0],$fot(multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7))]]) ).
cnf(refute_0_153,plain,
( divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) != X_8
| multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)),multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)),X_8) )],[refute_0_134,refute_0_153]) ).
cnf(refute_0_155,plain,
multiply(inverse(divide(X_7,multiply(inverse(divide(identity,multiply(X_21,identity))),identity))),X_7) = inverse(divide(identity,multiply(X_21,identity))),
inference(subst,[],[refute_0_154:[bind(X_8,$fot(inverse(divide(identity,multiply(X_21,identity)))))]]) ).
cnf(refute_0_156,plain,
multiply(inverse(divide(identity,multiply(X_21,identity))),identity) = X_21,
inference(subst,[],[refute_0_154:[bind(X_7,$fot(identity)),bind(X_8,$fot(X_21))]]) ).
cnf(refute_0_157,plain,
( multiply(inverse(divide(X_7,multiply(inverse(divide(identity,multiply(X_21,identity))),identity))),X_7) != inverse(divide(identity,multiply(X_21,identity)))
| multiply(inverse(divide(identity,multiply(X_21,identity))),identity) != X_21
| multiply(inverse(divide(X_7,X_21)),X_7) = inverse(divide(identity,multiply(X_21,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,multiply(inverse(divide(identity,multiply(X_21,identity))),identity))),X_7),inverse(divide(identity,multiply(X_21,identity)))) ),[0,0,0,1],$fot(X_21)]]) ).
cnf(refute_0_158,plain,
( multiply(inverse(divide(X_7,multiply(inverse(divide(identity,multiply(X_21,identity))),identity))),X_7) != inverse(divide(identity,multiply(X_21,identity)))
| multiply(inverse(divide(X_7,X_21)),X_7) = inverse(divide(identity,multiply(X_21,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(identity,multiply(X_21,identity))),identity),X_21) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
multiply(inverse(divide(X_7,X_21)),X_7) = inverse(divide(identity,multiply(X_21,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,multiply(inverse(divide(identity,multiply(X_21,identity))),identity))),X_7),inverse(divide(identity,multiply(X_21,identity)))) )],[refute_0_155,refute_0_158]) ).
cnf(refute_0_160,plain,
divide(identity,multiply(X_21,identity)) = inverse(multiply(X_21,identity)),
inference(subst,[],[refute_0_4:[bind(A,$fot(multiply(X_21,identity)))]]) ).
cnf(refute_0_161,plain,
inverse(divide(identity,multiply(X_21,identity))) = inverse(divide(identity,multiply(X_21,identity))),
introduced(tautology,[refl,[$fot(inverse(divide(identity,multiply(X_21,identity))))]]) ).
cnf(refute_0_162,plain,
( divide(identity,multiply(X_21,identity)) != inverse(multiply(X_21,identity))
| inverse(divide(identity,multiply(X_21,identity))) != inverse(divide(identity,multiply(X_21,identity)))
| inverse(divide(identity,multiply(X_21,identity))) = inverse(inverse(multiply(X_21,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(identity,multiply(X_21,identity))),inverse(divide(identity,multiply(X_21,identity)))) ),[1,0],$fot(inverse(multiply(X_21,identity)))]]) ).
cnf(refute_0_163,plain,
( divide(identity,multiply(X_21,identity)) != inverse(multiply(X_21,identity))
| inverse(divide(identity,multiply(X_21,identity))) = inverse(inverse(multiply(X_21,identity))) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,multiply(X_21,identity))),inverse(divide(identity,multiply(X_21,identity)))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
inverse(divide(identity,multiply(X_21,identity))) = inverse(inverse(multiply(X_21,identity))),
inference(resolve,[$cnf( $equal(divide(identity,multiply(X_21,identity)),inverse(multiply(X_21,identity))) )],[refute_0_160,refute_0_163]) ).
cnf(refute_0_165,plain,
( multiply(inverse(divide(X_7,X_21)),X_7) != inverse(divide(identity,multiply(X_21,identity)))
| inverse(divide(identity,multiply(X_21,identity))) != inverse(inverse(multiply(X_21,identity)))
| multiply(inverse(divide(X_7,X_21)),X_7) = inverse(inverse(multiply(X_21,identity))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(divide(X_7,X_21)),X_7),inverse(inverse(multiply(X_21,identity)))) ),[0],$fot(inverse(divide(identity,multiply(X_21,identity))))]]) ).
cnf(refute_0_166,plain,
( multiply(inverse(divide(X_7,X_21)),X_7) != inverse(divide(identity,multiply(X_21,identity)))
| multiply(inverse(divide(X_7,X_21)),X_7) = inverse(inverse(multiply(X_21,identity))) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,multiply(X_21,identity))),inverse(inverse(multiply(X_21,identity)))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
multiply(inverse(divide(X_7,X_21)),X_7) = inverse(inverse(multiply(X_21,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,X_21)),X_7),inverse(divide(identity,multiply(X_21,identity)))) )],[refute_0_159,refute_0_166]) ).
cnf(refute_0_168,plain,
multiply(inverse(divide(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))),multiply(X_21,identity))),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) = X_21,
inference(subst,[],[refute_0_154:[bind(X_7,$fot(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))))),bind(X_8,$fot(X_21))]]) ).
cnf(refute_0_169,plain,
divide(inverse(divide(X_7,divide(identity,divide(inverse(X_7),X_9)))),X_9) = identity,
inference(subst,[],[refute_0_42:[bind(A,$fot(X_7)),bind(B,$fot(identity)),bind(C,$fot(X_9))]]) ).
cnf(refute_0_170,plain,
inverse(divide(inverse(X_7),X_9)) = divide(identity,divide(inverse(X_7),X_9)),
inference(subst,[],[inverse:[bind(A,$fot(divide(inverse(X_7),X_9)))]]) ).
cnf(refute_0_171,plain,
( inverse(divide(inverse(X_7),X_9)) != divide(identity,divide(inverse(X_7),X_9))
| divide(identity,divide(inverse(X_7),X_9)) = inverse(divide(inverse(X_7),X_9)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(divide(inverse(X_7),X_9)))),bind(Y,$fot(divide(identity,divide(inverse(X_7),X_9))))]]) ).
cnf(refute_0_172,plain,
divide(identity,divide(inverse(X_7),X_9)) = inverse(divide(inverse(X_7),X_9)),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_7),X_9)),divide(identity,divide(inverse(X_7),X_9))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
( divide(identity,divide(inverse(X_7),X_9)) != inverse(divide(inverse(X_7),X_9))
| divide(inverse(divide(X_7,divide(identity,divide(inverse(X_7),X_9)))),X_9) != identity
| divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9) = identity ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_7,divide(identity,divide(inverse(X_7),X_9)))),X_9),identity) ),[0,0,0,1],$fot(inverse(divide(inverse(X_7),X_9)))]]) ).
cnf(refute_0_174,plain,
( divide(inverse(divide(X_7,divide(identity,divide(inverse(X_7),X_9)))),X_9) != identity
| divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9) = identity ),
inference(resolve,[$cnf( $equal(divide(identity,divide(inverse(X_7),X_9)),inverse(divide(inverse(X_7),X_9))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9) = identity,
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,divide(identity,divide(inverse(X_7),X_9)))),X_9),identity) )],[refute_0_169,refute_0_174]) ).
cnf(refute_0_176,plain,
divide(X_7,inverse(divide(inverse(X_7),X_9))) = multiply(X_7,divide(inverse(X_7),X_9)),
inference(subst,[],[refute_0_75:[bind(A,$fot(X_7)),bind(B,$fot(divide(inverse(X_7),X_9)))]]) ).
cnf(refute_0_177,plain,
inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))) = inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),
introduced(tautology,[refl,[$fot(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))))]]) ).
cnf(refute_0_178,plain,
( divide(X_7,inverse(divide(inverse(X_7),X_9))) != multiply(X_7,divide(inverse(X_7),X_9))
| inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))) != inverse(divide(X_7,inverse(divide(inverse(X_7),X_9))))
| inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))) = inverse(multiply(X_7,divide(inverse(X_7),X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),inverse(divide(X_7,inverse(divide(inverse(X_7),X_9))))) ),[1,0],$fot(multiply(X_7,divide(inverse(X_7),X_9)))]]) ).
cnf(refute_0_179,plain,
( divide(X_7,inverse(divide(inverse(X_7),X_9))) != multiply(X_7,divide(inverse(X_7),X_9))
| inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))) = inverse(multiply(X_7,divide(inverse(X_7),X_9))) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),inverse(divide(X_7,inverse(divide(inverse(X_7),X_9))))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))) = inverse(multiply(X_7,divide(inverse(X_7),X_9))),
inference(resolve,[$cnf( $equal(divide(X_7,inverse(divide(inverse(X_7),X_9))),multiply(X_7,divide(inverse(X_7),X_9))) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9) = divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9),
introduced(tautology,[refl,[$fot(divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9))]]) ).
cnf(refute_0_182,plain,
( divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9) != divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9)
| inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))) != inverse(multiply(X_7,divide(inverse(X_7),X_9)))
| divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9) = divide(inverse(multiply(X_7,divide(inverse(X_7),X_9))),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9),divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9)) ),[1,0],$fot(inverse(multiply(X_7,divide(inverse(X_7),X_9))))]]) ).
cnf(refute_0_183,plain,
( inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))) != inverse(multiply(X_7,divide(inverse(X_7),X_9)))
| divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9) = divide(inverse(multiply(X_7,divide(inverse(X_7),X_9))),X_9) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9),divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9)) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9) = divide(inverse(multiply(X_7,divide(inverse(X_7),X_9))),X_9),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),inverse(multiply(X_7,divide(inverse(X_7),X_9)))) )],[refute_0_180,refute_0_183]) ).
cnf(refute_0_185,plain,
( divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9) != divide(inverse(multiply(X_7,divide(inverse(X_7),X_9))),X_9)
| divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9) != identity
| divide(inverse(multiply(X_7,divide(inverse(X_7),X_9))),X_9) = identity ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9),identity) ),[0],$fot(divide(inverse(multiply(X_7,divide(inverse(X_7),X_9))),X_9))]]) ).
cnf(refute_0_186,plain,
( divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9) != identity
| divide(inverse(multiply(X_7,divide(inverse(X_7),X_9))),X_9) = identity ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9),divide(inverse(multiply(X_7,divide(inverse(X_7),X_9))),X_9)) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
divide(inverse(multiply(X_7,divide(inverse(X_7),X_9))),X_9) = identity,
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,inverse(divide(inverse(X_7),X_9)))),X_9),identity) )],[refute_0_175,refute_0_186]) ).
cnf(refute_0_188,plain,
divide(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))),multiply(X_21,identity)) = identity,
inference(subst,[],[refute_0_187:[bind(X_9,$fot(multiply(X_21,identity)))]]) ).
cnf(refute_0_189,plain,
( multiply(inverse(divide(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))),multiply(X_21,identity))),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) != X_21
| divide(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))),multiply(X_21,identity)) != identity
| multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) = X_21 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))),multiply(X_21,identity))),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))),X_21) ),[0,0,0],$fot(identity)]]) ).
cnf(refute_0_190,plain,
( multiply(inverse(divide(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))),multiply(X_21,identity))),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) != X_21
| multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) = X_21 ),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))),multiply(X_21,identity)),identity) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) = X_21,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))),multiply(X_21,identity))),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))),X_21) )],[refute_0_168,refute_0_190]) ).
cnf(refute_0_192,plain,
divide(X_7,X_7) = identity,
inference(subst,[],[refute_0_6:[bind(A,$fot(X_7))]]) ).
cnf(refute_0_193,plain,
inverse(divide(X_7,X_7)) = inverse(divide(X_7,X_7)),
introduced(tautology,[refl,[$fot(inverse(divide(X_7,X_7)))]]) ).
cnf(refute_0_194,plain,
( divide(X_7,X_7) != identity
| inverse(divide(X_7,X_7)) != inverse(divide(X_7,X_7))
| inverse(divide(X_7,X_7)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_7,X_7)),inverse(divide(X_7,X_7))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_195,plain,
( divide(X_7,X_7) != identity
| inverse(divide(X_7,X_7)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,X_7)),inverse(divide(X_7,X_7))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
inverse(divide(X_7,X_7)) = inverse(identity),
inference(resolve,[$cnf( $equal(divide(X_7,X_7),identity) )],[refute_0_192,refute_0_195]) ).
cnf(refute_0_197,plain,
( inverse(divide(X_7,X_7)) != inverse(identity)
| inverse(identity) != identity
| inverse(divide(X_7,X_7)) = identity ),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(divide(X_7,X_7)))),bind(Y,$fot(inverse(identity))),bind(Z,$fot(identity))]]) ).
cnf(refute_0_198,plain,
( inverse(identity) != identity
| inverse(divide(X_7,X_7)) = identity ),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,X_7)),inverse(identity)) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
inverse(divide(X_7,X_7)) = identity,
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_62,refute_0_198]) ).
cnf(refute_0_200,plain,
divide(inverse(divide(X_7,X_7)),multiply(X_21,identity)) = divide(inverse(divide(X_7,X_7)),multiply(X_21,identity)),
introduced(tautology,[refl,[$fot(divide(inverse(divide(X_7,X_7)),multiply(X_21,identity)))]]) ).
cnf(refute_0_201,plain,
( divide(inverse(divide(X_7,X_7)),multiply(X_21,identity)) != divide(inverse(divide(X_7,X_7)),multiply(X_21,identity))
| inverse(divide(X_7,X_7)) != identity
| divide(inverse(divide(X_7,X_7)),multiply(X_21,identity)) = divide(identity,multiply(X_21,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_7,X_7)),multiply(X_21,identity)),divide(inverse(divide(X_7,X_7)),multiply(X_21,identity))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_202,plain,
( inverse(divide(X_7,X_7)) != identity
| divide(inverse(divide(X_7,X_7)),multiply(X_21,identity)) = divide(identity,multiply(X_21,identity)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,X_7)),multiply(X_21,identity)),divide(inverse(divide(X_7,X_7)),multiply(X_21,identity))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
divide(inverse(divide(X_7,X_7)),multiply(X_21,identity)) = divide(identity,multiply(X_21,identity)),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,X_7)),identity) )],[refute_0_199,refute_0_202]) ).
cnf(refute_0_204,plain,
( divide(identity,multiply(X_21,identity)) != inverse(multiply(X_21,identity))
| divide(inverse(divide(X_7,X_7)),multiply(X_21,identity)) != divide(identity,multiply(X_21,identity))
| divide(inverse(divide(X_7,X_7)),multiply(X_21,identity)) = inverse(multiply(X_21,identity)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(divide(inverse(divide(X_7,X_7)),multiply(X_21,identity)))),bind(Y,$fot(divide(identity,multiply(X_21,identity)))),bind(Z,$fot(inverse(multiply(X_21,identity))))]]) ).
cnf(refute_0_205,plain,
( divide(identity,multiply(X_21,identity)) != inverse(multiply(X_21,identity))
| divide(inverse(divide(X_7,X_7)),multiply(X_21,identity)) = inverse(multiply(X_21,identity)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,X_7)),multiply(X_21,identity)),divide(identity,multiply(X_21,identity))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
divide(inverse(divide(X_7,X_7)),multiply(X_21,identity)) = inverse(multiply(X_21,identity)),
inference(resolve,[$cnf( $equal(divide(identity,multiply(X_21,identity)),inverse(multiply(X_21,identity))) )],[refute_0_160,refute_0_205]) ).
cnf(refute_0_207,plain,
( divide(inverse(divide(A,X_10)),C) != inverse(inverse(multiply(X_10,divide(inverse(A),C))))
| inverse(inverse(multiply(X_10,divide(inverse(A),C)))) = divide(inverse(divide(A,X_10)),C) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(divide(inverse(divide(A,X_10)),C))),bind(Y,$fot(inverse(inverse(multiply(X_10,divide(inverse(A),C))))))]]) ).
cnf(refute_0_208,plain,
inverse(inverse(multiply(X_10,divide(inverse(A),C)))) = divide(inverse(divide(A,X_10)),C),
inference(resolve,[$cnf( $equal(divide(inverse(divide(A,X_10)),C),inverse(inverse(multiply(X_10,divide(inverse(A),C))))) )],[refute_0_107,refute_0_207]) ).
cnf(refute_0_209,plain,
inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) = divide(inverse(divide(X_7,X_7)),multiply(X_21,identity)),
inference(subst,[],[refute_0_208:[bind(A,$fot(X_7)),bind(C,$fot(multiply(X_21,identity))),bind(X_10,$fot(X_7))]]) ).
cnf(refute_0_210,plain,
( divide(inverse(divide(X_7,X_7)),multiply(X_21,identity)) != inverse(multiply(X_21,identity))
| inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) != divide(inverse(divide(X_7,X_7)),multiply(X_21,identity))
| inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) = inverse(multiply(X_21,identity)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))))),bind(Y,$fot(divide(inverse(divide(X_7,X_7)),multiply(X_21,identity)))),bind(Z,$fot(inverse(multiply(X_21,identity))))]]) ).
cnf(refute_0_211,plain,
( divide(inverse(divide(X_7,X_7)),multiply(X_21,identity)) != inverse(multiply(X_21,identity))
| inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) = inverse(multiply(X_21,identity)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))),divide(inverse(divide(X_7,X_7)),multiply(X_21,identity))) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) = inverse(multiply(X_21,identity)),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,X_7)),multiply(X_21,identity)),inverse(multiply(X_21,identity))) )],[refute_0_206,refute_0_211]) ).
cnf(refute_0_213,plain,
inverse(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))))) = inverse(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))))),
introduced(tautology,[refl,[$fot(inverse(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))))))]]) ).
cnf(refute_0_214,plain,
( inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) != inverse(multiply(X_21,identity))
| inverse(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))))) != inverse(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))))
| inverse(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))))) = inverse(inverse(multiply(X_21,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))))),inverse(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))))) ),[1,0],$fot(inverse(multiply(X_21,identity)))]]) ).
cnf(refute_0_215,plain,
( inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) != inverse(multiply(X_21,identity))
| inverse(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))))) = inverse(inverse(multiply(X_21,identity))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))))),inverse(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))))) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
inverse(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))))) = inverse(inverse(multiply(X_21,identity))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))),inverse(multiply(X_21,identity))) )],[refute_0_212,refute_0_215]) ).
cnf(refute_0_217,plain,
inverse(inverse(X_3)) = divide(identity,inverse(X_3)),
inference(subst,[],[inverse:[bind(A,$fot(inverse(X_3)))]]) ).
cnf(refute_0_218,plain,
multiply(identity,X_3) = divide(identity,inverse(X_3)),
inference(subst,[],[refute_0_73:[bind(A,$fot(identity)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_219,plain,
( multiply(identity,X_3) != divide(identity,inverse(X_3))
| divide(identity,inverse(X_3)) = multiply(identity,X_3) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(identity,X_3))),bind(Y,$fot(divide(identity,inverse(X_3))))]]) ).
cnf(refute_0_220,plain,
divide(identity,inverse(X_3)) = multiply(identity,X_3),
inference(resolve,[$cnf( $equal(multiply(identity,X_3),divide(identity,inverse(X_3))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
( divide(identity,inverse(X_3)) != multiply(identity,X_3)
| inverse(inverse(X_3)) != divide(identity,inverse(X_3))
| inverse(inverse(X_3)) = multiply(identity,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_3)),divide(identity,inverse(X_3))) ),[1],$fot(multiply(identity,X_3))]]) ).
cnf(refute_0_222,plain,
( inverse(inverse(X_3)) != divide(identity,inverse(X_3))
| inverse(inverse(X_3)) = multiply(identity,X_3) ),
inference(resolve,[$cnf( $equal(divide(identity,inverse(X_3)),multiply(identity,X_3)) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
inverse(inverse(X_3)) = multiply(identity,X_3),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),divide(identity,inverse(X_3))) )],[refute_0_217,refute_0_222]) ).
cnf(refute_0_224,plain,
( inverse(inverse(X_3)) != multiply(identity,X_3)
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(X_3)))),bind(Y,$fot(multiply(identity,X_3)))]]) ).
cnf(refute_0_225,plain,
multiply(identity,X_3) = inverse(inverse(X_3)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),multiply(identity,X_3)) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
multiply(identity,inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) = inverse(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))))),
inference(subst,[],[refute_0_225:[bind(X_3,$fot(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))))]]) ).
cnf(refute_0_227,plain,
( multiply(identity,inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) != inverse(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))))
| inverse(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))))) != inverse(inverse(multiply(X_21,identity)))
| multiply(identity,inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) = inverse(inverse(multiply(X_21,identity))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(identity,inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))))),bind(Y,$fot(inverse(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))))))),bind(Z,$fot(inverse(inverse(multiply(X_21,identity)))))]]) ).
cnf(refute_0_228,plain,
( inverse(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))))) != inverse(inverse(multiply(X_21,identity)))
| multiply(identity,inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) = inverse(inverse(multiply(X_21,identity))) ),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))),inverse(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))))) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
multiply(identity,inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) = inverse(inverse(multiply(X_21,identity))),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))))),inverse(inverse(multiply(X_21,identity)))) )],[refute_0_216,refute_0_228]) ).
cnf(refute_0_230,plain,
multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) = multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))))]]) ).
cnf(refute_0_231,plain,
( multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) != multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))))
| inverse(identity) != identity
| multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) = multiply(identity,inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))),multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_232,plain,
( inverse(identity) != identity
| multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) = multiply(identity,inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))),multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) = multiply(identity,inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_62,refute_0_232]) ).
cnf(refute_0_234,plain,
( multiply(identity,inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) != inverse(inverse(multiply(X_21,identity)))
| multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) != multiply(identity,inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))))
| multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) = inverse(inverse(multiply(X_21,identity))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))))),bind(Y,$fot(multiply(identity,inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))))),bind(Z,$fot(inverse(inverse(multiply(X_21,identity)))))]]) ).
cnf(refute_0_235,plain,
( multiply(identity,inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) != inverse(inverse(multiply(X_21,identity)))
| multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) = inverse(inverse(multiply(X_21,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))),multiply(identity,inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity)))))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) = inverse(inverse(multiply(X_21,identity))),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))),inverse(inverse(multiply(X_21,identity)))) )],[refute_0_229,refute_0_235]) ).
cnf(refute_0_237,plain,
( multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) != X_21
| multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) != inverse(inverse(multiply(X_21,identity)))
| inverse(inverse(multiply(X_21,identity))) = X_21 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))),X_21) ),[0],$fot(inverse(inverse(multiply(X_21,identity))))]]) ).
cnf(refute_0_238,plain,
( multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))) != X_21
| inverse(inverse(multiply(X_21,identity))) = X_21 ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))),inverse(inverse(multiply(X_21,identity)))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
inverse(inverse(multiply(X_21,identity))) = X_21,
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(multiply(X_7,divide(inverse(X_7),multiply(X_21,identity))))),X_21) )],[refute_0_191,refute_0_238]) ).
cnf(refute_0_240,plain,
( multiply(inverse(divide(X_7,X_21)),X_7) != inverse(inverse(multiply(X_21,identity)))
| inverse(inverse(multiply(X_21,identity))) != X_21
| multiply(inverse(divide(X_7,X_21)),X_7) = X_21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(divide(X_7,X_21)),X_7),X_21) ),[0],$fot(inverse(inverse(multiply(X_21,identity))))]]) ).
cnf(refute_0_241,plain,
( multiply(inverse(divide(X_7,X_21)),X_7) != inverse(inverse(multiply(X_21,identity)))
| multiply(inverse(divide(X_7,X_21)),X_7) = X_21 ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_21,identity))),X_21) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
multiply(inverse(divide(X_7,X_21)),X_7) = X_21,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,X_21)),X_7),inverse(inverse(multiply(X_21,identity)))) )],[refute_0_167,refute_0_241]) ).
cnf(refute_0_243,plain,
multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) = multiply(X_8,identity),
inference(subst,[],[refute_0_242:[bind(X_21,$fot(multiply(X_8,identity)))]]) ).
cnf(refute_0_244,plain,
( multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) != X_8
| multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) != multiply(X_8,identity)
| multiply(X_8,identity) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7),X_8) ),[0],$fot(multiply(X_8,identity))]]) ).
cnf(refute_0_245,plain,
( multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) != X_8
| multiply(X_8,identity) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7),multiply(X_8,identity)) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
multiply(X_8,identity) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7),X_8) )],[refute_0_154,refute_0_245]) ).
cnf(refute_0_247,plain,
multiply(inverse(inverse(X_13)),identity) = inverse(inverse(X_13)),
inference(subst,[],[refute_0_246:[bind(X_8,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_248,plain,
( multiply(inverse(inverse(X_13)),identity) != inverse(inverse(X_13))
| multiply(inverse(inverse(X_13)),identity) != inverse(inverse(multiply(X_13,identity)))
| inverse(inverse(X_13)) = inverse(inverse(multiply(X_13,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_13)),identity),inverse(inverse(multiply(X_13,identity)))) ),[0],$fot(inverse(inverse(X_13)))]]) ).
cnf(refute_0_249,plain,
( multiply(inverse(inverse(X_13)),identity) != inverse(inverse(multiply(X_13,identity)))
| inverse(inverse(X_13)) = inverse(inverse(multiply(X_13,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),identity),inverse(inverse(X_13))) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
inverse(inverse(multiply(X_13,identity))) = X_13,
inference(subst,[],[refute_0_239:[bind(X_21,$fot(X_13))]]) ).
cnf(refute_0_251,plain,
( inverse(inverse(X_13)) != inverse(inverse(multiply(X_13,identity)))
| inverse(inverse(multiply(X_13,identity))) != X_13
| inverse(inverse(X_13)) = X_13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(inverse(X_13)),X_13) ),[0],$fot(inverse(inverse(multiply(X_13,identity))))]]) ).
cnf(refute_0_252,plain,
( inverse(inverse(X_13)) != inverse(inverse(multiply(X_13,identity)))
| inverse(inverse(X_13)) = X_13 ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_13,identity))),X_13) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
( multiply(inverse(inverse(X_13)),identity) != inverse(inverse(multiply(X_13,identity)))
| inverse(inverse(X_13)) = X_13 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),inverse(inverse(multiply(X_13,identity)))) )],[refute_0_249,refute_0_252]) ).
cnf(refute_0_254,plain,
inverse(inverse(X_13)) = X_13,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),identity),inverse(inverse(multiply(X_13,identity)))) )],[refute_0_127,refute_0_253]) ).
cnf(refute_0_255,plain,
inverse(inverse(multiply(X_10,divide(inverse(A),C)))) = multiply(X_10,divide(inverse(A),C)),
inference(subst,[],[refute_0_254:[bind(X_13,$fot(multiply(X_10,divide(inverse(A),C))))]]) ).
cnf(refute_0_256,plain,
( divide(inverse(divide(A,X_10)),C) != inverse(inverse(multiply(X_10,divide(inverse(A),C))))
| inverse(inverse(multiply(X_10,divide(inverse(A),C)))) != multiply(X_10,divide(inverse(A),C))
| divide(inverse(divide(A,X_10)),C) = multiply(X_10,divide(inverse(A),C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(inverse(divide(A,X_10)),C),multiply(X_10,divide(inverse(A),C))) ),[0],$fot(inverse(inverse(multiply(X_10,divide(inverse(A),C)))))]]) ).
cnf(refute_0_257,plain,
( divide(inverse(divide(A,X_10)),C) != inverse(inverse(multiply(X_10,divide(inverse(A),C))))
| divide(inverse(divide(A,X_10)),C) = multiply(X_10,divide(inverse(A),C)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_10,divide(inverse(A),C)))),multiply(X_10,divide(inverse(A),C))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
divide(inverse(divide(A,X_10)),C) = multiply(X_10,divide(inverse(A),C)),
inference(resolve,[$cnf( $equal(divide(inverse(divide(A,X_10)),C),inverse(inverse(multiply(X_10,divide(inverse(A),C))))) )],[refute_0_107,refute_0_257]) ).
cnf(refute_0_259,plain,
divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,X_8))),C) = multiply(divide(B,X_8),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C)),
inference(subst,[],[refute_0_258:[bind(A,$fot(divide(X_7,divide(X_8,divide(inverse(X_7),C))))),bind(X_10,$fot(divide(B,X_8)))]]) ).
cnf(refute_0_260,plain,
( multiply(divide(B,X_8),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C)) != multiply(divide(B,X_8),X_8)
| divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,X_8))),C) != multiply(divide(B,X_8),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C))
| divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,X_8))),C) = multiply(divide(B,X_8),X_8) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,X_8))),C))),bind(Y,$fot(multiply(divide(B,X_8),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C)))),bind(Z,$fot(multiply(divide(B,X_8),X_8)))]]) ).
cnf(refute_0_261,plain,
( multiply(divide(B,X_8),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C)) != multiply(divide(B,X_8),X_8)
| divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,X_8))),C) = multiply(divide(B,X_8),X_8) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,X_8))),C),multiply(divide(B,X_8),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,X_8))),C) = multiply(divide(B,X_8),X_8),
inference(resolve,[$cnf( $equal(multiply(divide(B,X_8),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),C)))),C)),multiply(divide(B,X_8),X_8)) )],[refute_0_51,refute_0_261]) ).
cnf(refute_0_263,plain,
( divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,X_8))),C) != B
| divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,X_8))),C) != multiply(divide(B,X_8),X_8)
| multiply(divide(B,X_8),X_8) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,X_8))),C),B) ),[0],$fot(multiply(divide(B,X_8),X_8))]]) ).
cnf(refute_0_264,plain,
( divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,X_8))),C) != B
| multiply(divide(B,X_8),X_8) = B ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,X_8))),C),multiply(divide(B,X_8),X_8)) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
multiply(divide(B,X_8),X_8) = B,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(X_7,divide(X_8,divide(inverse(X_7),C))),divide(B,X_8))),C),B) )],[refute_0_47,refute_0_264]) ).
cnf(refute_0_266,plain,
multiply(divide(multiply(multiply(X_97,X_95),X_96),multiply(X_95,X_96)),multiply(X_95,X_96)) = multiply(multiply(X_97,X_95),X_96),
inference(subst,[],[refute_0_265:[bind(B,$fot(multiply(multiply(X_97,X_95),X_96))),bind(X_8,$fot(multiply(X_95,X_96)))]]) ).
cnf(refute_0_267,plain,
divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,divide(inverse(inverse(multiply(X_10,C))),C)))),C) = B,
inference(subst,[],[refute_0_42:[bind(A,$fot(inverse(multiply(X_10,C))))]]) ).
cnf(refute_0_268,plain,
divide(inverse(inverse(multiply(X_10,C))),C) = X_10,
inference(subst,[],[refute_0_103:[bind(X_8,$fot(X_10)),bind(X_9,$fot(C))]]) ).
cnf(refute_0_269,plain,
( divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,divide(inverse(inverse(multiply(X_10,C))),C)))),C) != B
| divide(inverse(inverse(multiply(X_10,C))),C) != X_10
| divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,X_10))),C) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,divide(inverse(inverse(multiply(X_10,C))),C)))),C),B) ),[0,0,0,1,1],$fot(X_10)]]) ).
cnf(refute_0_270,plain,
( divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,divide(inverse(inverse(multiply(X_10,C))),C)))),C) != B
| divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,X_10))),C) = B ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(X_10,C))),C),X_10) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,X_10))),C) = B,
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,divide(inverse(inverse(multiply(X_10,C))),C)))),C),B) )],[refute_0_267,refute_0_270]) ).
cnf(refute_0_272,plain,
divide(inverse(inverse(multiply(inverse(divide(X_9,multiply(X_21,identity))),X_9))),X_9) = inverse(divide(X_9,multiply(X_21,identity))),
inference(subst,[],[refute_0_103:[bind(X_8,$fot(inverse(divide(X_9,multiply(X_21,identity)))))]]) ).
cnf(refute_0_273,plain,
multiply(inverse(divide(X_9,multiply(X_21,identity))),X_9) = X_21,
inference(subst,[],[refute_0_154:[bind(X_7,$fot(X_9)),bind(X_8,$fot(X_21))]]) ).
cnf(refute_0_274,plain,
( multiply(inverse(divide(X_9,multiply(X_21,identity))),X_9) != X_21
| divide(inverse(inverse(multiply(inverse(divide(X_9,multiply(X_21,identity))),X_9))),X_9) != inverse(divide(X_9,multiply(X_21,identity)))
| divide(inverse(inverse(X_21)),X_9) = inverse(divide(X_9,multiply(X_21,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(multiply(inverse(divide(X_9,multiply(X_21,identity))),X_9))),X_9),inverse(divide(X_9,multiply(X_21,identity)))) ),[0,0,0,0],$fot(X_21)]]) ).
cnf(refute_0_275,plain,
( divide(inverse(inverse(multiply(inverse(divide(X_9,multiply(X_21,identity))),X_9))),X_9) != inverse(divide(X_9,multiply(X_21,identity)))
| divide(inverse(inverse(X_21)),X_9) = inverse(divide(X_9,multiply(X_21,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_9,multiply(X_21,identity))),X_9),X_21) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
divide(inverse(inverse(X_21)),X_9) = inverse(divide(X_9,multiply(X_21,identity))),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(inverse(divide(X_9,multiply(X_21,identity))),X_9))),X_9),inverse(divide(X_9,multiply(X_21,identity)))) )],[refute_0_272,refute_0_275]) ).
cnf(refute_0_277,plain,
inverse(inverse(X_21)) = X_21,
inference(subst,[],[refute_0_254:[bind(X_13,$fot(X_21))]]) ).
cnf(refute_0_278,plain,
divide(inverse(inverse(X_21)),X_9) = divide(inverse(inverse(X_21)),X_9),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(X_21)),X_9))]]) ).
cnf(refute_0_279,plain,
( divide(inverse(inverse(X_21)),X_9) != divide(inverse(inverse(X_21)),X_9)
| inverse(inverse(X_21)) != X_21
| divide(inverse(inverse(X_21)),X_9) = divide(X_21,X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_21)),X_9),divide(inverse(inverse(X_21)),X_9)) ),[1,0],$fot(X_21)]]) ).
cnf(refute_0_280,plain,
( inverse(inverse(X_21)) != X_21
| divide(inverse(inverse(X_21)),X_9) = divide(X_21,X_9) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_21)),X_9),divide(inverse(inverse(X_21)),X_9)) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
divide(inverse(inverse(X_21)),X_9) = divide(X_21,X_9),
inference(resolve,[$cnf( $equal(inverse(inverse(X_21)),X_21) )],[refute_0_277,refute_0_280]) ).
cnf(refute_0_282,plain,
( divide(inverse(inverse(X_21)),X_9) != divide(X_21,X_9)
| divide(inverse(inverse(X_21)),X_9) != inverse(divide(X_9,multiply(X_21,identity)))
| divide(X_21,X_9) = inverse(divide(X_9,multiply(X_21,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_21)),X_9),inverse(divide(X_9,multiply(X_21,identity)))) ),[0],$fot(divide(X_21,X_9))]]) ).
cnf(refute_0_283,plain,
( divide(inverse(inverse(X_21)),X_9) != inverse(divide(X_9,multiply(X_21,identity)))
| divide(X_21,X_9) = inverse(divide(X_9,multiply(X_21,identity))) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_21)),X_9),divide(X_21,X_9)) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
multiply(X_21,identity) = X_21,
inference(subst,[],[refute_0_246:[bind(X_8,$fot(X_21))]]) ).
cnf(refute_0_285,plain,
divide(X_9,multiply(X_21,identity)) = divide(X_9,multiply(X_21,identity)),
introduced(tautology,[refl,[$fot(divide(X_9,multiply(X_21,identity)))]]) ).
cnf(refute_0_286,plain,
( multiply(X_21,identity) != X_21
| divide(X_9,multiply(X_21,identity)) != divide(X_9,multiply(X_21,identity))
| divide(X_9,multiply(X_21,identity)) = divide(X_9,X_21) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_9,multiply(X_21,identity)),divide(X_9,multiply(X_21,identity))) ),[1,1],$fot(X_21)]]) ).
cnf(refute_0_287,plain,
( multiply(X_21,identity) != X_21
| divide(X_9,multiply(X_21,identity)) = divide(X_9,X_21) ),
inference(resolve,[$cnf( $equal(divide(X_9,multiply(X_21,identity)),divide(X_9,multiply(X_21,identity))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
divide(X_9,multiply(X_21,identity)) = divide(X_9,X_21),
inference(resolve,[$cnf( $equal(multiply(X_21,identity),X_21) )],[refute_0_284,refute_0_287]) ).
cnf(refute_0_289,plain,
inverse(divide(X_9,multiply(X_21,identity))) = inverse(divide(X_9,multiply(X_21,identity))),
introduced(tautology,[refl,[$fot(inverse(divide(X_9,multiply(X_21,identity))))]]) ).
cnf(refute_0_290,plain,
( divide(X_9,multiply(X_21,identity)) != divide(X_9,X_21)
| inverse(divide(X_9,multiply(X_21,identity))) != inverse(divide(X_9,multiply(X_21,identity)))
| inverse(divide(X_9,multiply(X_21,identity))) = inverse(divide(X_9,X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_9,multiply(X_21,identity))),inverse(divide(X_9,multiply(X_21,identity)))) ),[1,0],$fot(divide(X_9,X_21))]]) ).
cnf(refute_0_291,plain,
( divide(X_9,multiply(X_21,identity)) != divide(X_9,X_21)
| inverse(divide(X_9,multiply(X_21,identity))) = inverse(divide(X_9,X_21)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_9,multiply(X_21,identity))),inverse(divide(X_9,multiply(X_21,identity)))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
inverse(divide(X_9,multiply(X_21,identity))) = inverse(divide(X_9,X_21)),
inference(resolve,[$cnf( $equal(divide(X_9,multiply(X_21,identity)),divide(X_9,X_21)) )],[refute_0_288,refute_0_291]) ).
cnf(refute_0_293,plain,
( divide(X_21,X_9) != inverse(divide(X_9,multiply(X_21,identity)))
| inverse(divide(X_9,multiply(X_21,identity))) != inverse(divide(X_9,X_21))
| divide(X_21,X_9) = inverse(divide(X_9,X_21)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_21,X_9),inverse(divide(X_9,X_21))) ),[0],$fot(inverse(divide(X_9,multiply(X_21,identity))))]]) ).
cnf(refute_0_294,plain,
( divide(X_21,X_9) != inverse(divide(X_9,multiply(X_21,identity)))
| divide(X_21,X_9) = inverse(divide(X_9,X_21)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_9,multiply(X_21,identity))),inverse(divide(X_9,X_21))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
( divide(inverse(inverse(X_21)),X_9) != inverse(divide(X_9,multiply(X_21,identity)))
| divide(X_21,X_9) = inverse(divide(X_9,X_21)) ),
inference(resolve,[$cnf( $equal(divide(X_21,X_9),inverse(divide(X_9,multiply(X_21,identity)))) )],[refute_0_283,refute_0_294]) ).
cnf(refute_0_296,plain,
divide(X_21,X_9) = inverse(divide(X_9,X_21)),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_21)),X_9),inverse(divide(X_9,multiply(X_21,identity)))) )],[refute_0_276,refute_0_295]) ).
cnf(refute_0_297,plain,
( divide(X_21,X_9) != inverse(divide(X_9,X_21))
| inverse(divide(X_9,X_21)) = divide(X_21,X_9) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(divide(X_21,X_9))),bind(Y,$fot(inverse(divide(X_9,X_21))))]]) ).
cnf(refute_0_298,plain,
inverse(divide(X_9,X_21)) = divide(X_21,X_9),
inference(resolve,[$cnf( $equal(divide(X_21,X_9),inverse(divide(X_9,X_21))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
inverse(divide(C,multiply(divide(B,X_10),multiply(X_10,C)))) = divide(multiply(divide(B,X_10),multiply(X_10,C)),C),
inference(subst,[],[refute_0_298:[bind(X_21,$fot(multiply(divide(B,X_10),multiply(X_10,C)))),bind(X_9,$fot(C))]]) ).
cnf(refute_0_300,plain,
multiply(A,inverse(multiply(multiply(X_16,identity),identity))) = divide(A,inverse(inverse(multiply(multiply(X_16,identity),identity)))),
inference(subst,[],[refute_0_73:[bind(B,$fot(inverse(multiply(multiply(X_16,identity),identity))))]]) ).
cnf(refute_0_301,plain,
multiply(inverse(inverse(multiply(X_13,identity))),identity) = divide(inverse(inverse(multiply(X_13,identity))),inverse(identity)),
inference(subst,[],[refute_0_73:[bind(A,$fot(inverse(inverse(multiply(X_13,identity))))),bind(B,$fot(identity))]]) ).
cnf(refute_0_302,plain,
( multiply(inverse(inverse(multiply(X_13,identity))),identity) != X_13
| multiply(inverse(inverse(multiply(X_13,identity))),identity) != divide(inverse(inverse(multiply(X_13,identity))),inverse(identity))
| X_13 = divide(inverse(inverse(multiply(X_13,identity))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(X_13,identity))),identity),divide(inverse(inverse(multiply(X_13,identity))),inverse(identity))) ),[0],$fot(X_13)]]) ).
cnf(refute_0_303,plain,
( multiply(inverse(inverse(multiply(X_13,identity))),identity) != divide(inverse(inverse(multiply(X_13,identity))),inverse(identity))
| X_13 = divide(inverse(inverse(multiply(X_13,identity))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_13,identity))),identity),X_13) )],[refute_0_118,refute_0_302]) ).
cnf(refute_0_304,plain,
X_13 = divide(inverse(inverse(multiply(X_13,identity))),inverse(identity)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_13,identity))),identity),divide(inverse(inverse(multiply(X_13,identity))),inverse(identity))) )],[refute_0_301,refute_0_303]) ).
cnf(refute_0_305,plain,
multiply(inverse(inverse(multiply(X_13,identity))),identity) = inverse(inverse(multiply(multiply(X_13,identity),identity))),
inference(subst,[],[refute_0_127:[bind(X_13,$fot(multiply(X_13,identity)))]]) ).
cnf(refute_0_306,plain,
divide(inverse(inverse(multiply(X_13,identity))),inverse(identity)) = multiply(inverse(inverse(multiply(X_13,identity))),identity),
inference(subst,[],[refute_0_75:[bind(A,$fot(inverse(inverse(multiply(X_13,identity))))),bind(B,$fot(identity))]]) ).
cnf(refute_0_307,plain,
( multiply(inverse(inverse(multiply(X_13,identity))),identity) != inverse(inverse(multiply(multiply(X_13,identity),identity)))
| divide(inverse(inverse(multiply(X_13,identity))),inverse(identity)) != multiply(inverse(inverse(multiply(X_13,identity))),identity)
| divide(inverse(inverse(multiply(X_13,identity))),inverse(identity)) = inverse(inverse(multiply(multiply(X_13,identity),identity))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(divide(inverse(inverse(multiply(X_13,identity))),inverse(identity)))),bind(Y,$fot(multiply(inverse(inverse(multiply(X_13,identity))),identity))),bind(Z,$fot(inverse(inverse(multiply(multiply(X_13,identity),identity)))))]]) ).
cnf(refute_0_308,plain,
( multiply(inverse(inverse(multiply(X_13,identity))),identity) != inverse(inverse(multiply(multiply(X_13,identity),identity)))
| divide(inverse(inverse(multiply(X_13,identity))),inverse(identity)) = inverse(inverse(multiply(multiply(X_13,identity),identity))) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(X_13,identity))),inverse(identity)),multiply(inverse(inverse(multiply(X_13,identity))),identity)) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
divide(inverse(inverse(multiply(X_13,identity))),inverse(identity)) = inverse(inverse(multiply(multiply(X_13,identity),identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_13,identity))),identity),inverse(inverse(multiply(multiply(X_13,identity),identity)))) )],[refute_0_305,refute_0_308]) ).
cnf(refute_0_310,plain,
( X_13 != divide(inverse(inverse(multiply(X_13,identity))),inverse(identity))
| divide(inverse(inverse(multiply(X_13,identity))),inverse(identity)) != inverse(inverse(multiply(multiply(X_13,identity),identity)))
| X_13 = inverse(inverse(multiply(multiply(X_13,identity),identity))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_13,inverse(inverse(multiply(multiply(X_13,identity),identity)))) ),[0],$fot(divide(inverse(inverse(multiply(X_13,identity))),inverse(identity)))]]) ).
cnf(refute_0_311,plain,
( X_13 != divide(inverse(inverse(multiply(X_13,identity))),inverse(identity))
| X_13 = inverse(inverse(multiply(multiply(X_13,identity),identity))) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(X_13,identity))),inverse(identity)),inverse(inverse(multiply(multiply(X_13,identity),identity)))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
X_13 = inverse(inverse(multiply(multiply(X_13,identity),identity))),
inference(resolve,[$cnf( $equal(X_13,divide(inverse(inverse(multiply(X_13,identity))),inverse(identity))) )],[refute_0_304,refute_0_311]) ).
cnf(refute_0_313,plain,
X_16 = inverse(inverse(multiply(multiply(X_16,identity),identity))),
inference(subst,[],[refute_0_312:[bind(X_13,$fot(X_16))]]) ).
cnf(refute_0_314,plain,
( X_16 != inverse(inverse(multiply(multiply(X_16,identity),identity)))
| inverse(inverse(multiply(multiply(X_16,identity),identity))) = X_16 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_16)),bind(Y,$fot(inverse(inverse(multiply(multiply(X_16,identity),identity)))))]]) ).
cnf(refute_0_315,plain,
inverse(inverse(multiply(multiply(X_16,identity),identity))) = X_16,
inference(resolve,[$cnf( $equal(X_16,inverse(inverse(multiply(multiply(X_16,identity),identity)))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
( multiply(A,inverse(multiply(multiply(X_16,identity),identity))) != divide(A,inverse(inverse(multiply(multiply(X_16,identity),identity))))
| inverse(inverse(multiply(multiply(X_16,identity),identity))) != X_16
| multiply(A,inverse(multiply(multiply(X_16,identity),identity))) = divide(A,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(multiply(multiply(X_16,identity),identity))),divide(A,inverse(inverse(multiply(multiply(X_16,identity),identity))))) ),[1,1],$fot(X_16)]]) ).
cnf(refute_0_317,plain,
( multiply(A,inverse(multiply(multiply(X_16,identity),identity))) != divide(A,inverse(inverse(multiply(multiply(X_16,identity),identity))))
| multiply(A,inverse(multiply(multiply(X_16,identity),identity))) = divide(A,X_16) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(multiply(X_16,identity),identity))),X_16) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
multiply(A,inverse(multiply(multiply(X_16,identity),identity))) = divide(A,X_16),
inference(resolve,[$cnf( $equal(multiply(A,inverse(multiply(multiply(X_16,identity),identity))),divide(A,inverse(inverse(multiply(multiply(X_16,identity),identity))))) )],[refute_0_300,refute_0_317]) ).
cnf(refute_0_319,plain,
multiply(X_16,identity) = X_16,
inference(subst,[],[refute_0_246:[bind(X_8,$fot(X_16))]]) ).
cnf(refute_0_320,plain,
multiply(multiply(X_16,identity),identity) = multiply(X_16,identity),
inference(subst,[],[refute_0_246:[bind(X_8,$fot(multiply(X_16,identity)))]]) ).
cnf(refute_0_321,plain,
( multiply(X_16,identity) != X_16
| multiply(multiply(X_16,identity),identity) != multiply(X_16,identity)
| multiply(multiply(X_16,identity),identity) = X_16 ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(multiply(X_16,identity),identity))),bind(Y,$fot(multiply(X_16,identity))),bind(Z,$fot(X_16))]]) ).
cnf(refute_0_322,plain,
( multiply(X_16,identity) != X_16
| multiply(multiply(X_16,identity),identity) = X_16 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_16,identity),identity),multiply(X_16,identity)) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
multiply(multiply(X_16,identity),identity) = X_16,
inference(resolve,[$cnf( $equal(multiply(X_16,identity),X_16) )],[refute_0_319,refute_0_322]) ).
cnf(refute_0_324,plain,
inverse(multiply(multiply(X_16,identity),identity)) = inverse(multiply(multiply(X_16,identity),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_16,identity),identity)))]]) ).
cnf(refute_0_325,plain,
( multiply(multiply(X_16,identity),identity) != X_16
| inverse(multiply(multiply(X_16,identity),identity)) != inverse(multiply(multiply(X_16,identity),identity))
| inverse(multiply(multiply(X_16,identity),identity)) = inverse(X_16) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_16,identity),identity)),inverse(multiply(multiply(X_16,identity),identity))) ),[1,0],$fot(X_16)]]) ).
cnf(refute_0_326,plain,
( multiply(multiply(X_16,identity),identity) != X_16
| inverse(multiply(multiply(X_16,identity),identity)) = inverse(X_16) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_16,identity),identity)),inverse(multiply(multiply(X_16,identity),identity))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
inverse(multiply(multiply(X_16,identity),identity)) = inverse(X_16),
inference(resolve,[$cnf( $equal(multiply(multiply(X_16,identity),identity),X_16) )],[refute_0_323,refute_0_326]) ).
cnf(refute_0_328,plain,
multiply(A,inverse(multiply(multiply(X_16,identity),identity))) = multiply(A,inverse(multiply(multiply(X_16,identity),identity))),
introduced(tautology,[refl,[$fot(multiply(A,inverse(multiply(multiply(X_16,identity),identity))))]]) ).
cnf(refute_0_329,plain,
( multiply(A,inverse(multiply(multiply(X_16,identity),identity))) != multiply(A,inverse(multiply(multiply(X_16,identity),identity)))
| inverse(multiply(multiply(X_16,identity),identity)) != inverse(X_16)
| multiply(A,inverse(multiply(multiply(X_16,identity),identity))) = multiply(A,inverse(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(multiply(multiply(X_16,identity),identity))),multiply(A,inverse(multiply(multiply(X_16,identity),identity)))) ),[1,1],$fot(inverse(X_16))]]) ).
cnf(refute_0_330,plain,
( inverse(multiply(multiply(X_16,identity),identity)) != inverse(X_16)
| multiply(A,inverse(multiply(multiply(X_16,identity),identity))) = multiply(A,inverse(X_16)) ),
inference(resolve,[$cnf( $equal(multiply(A,inverse(multiply(multiply(X_16,identity),identity))),multiply(A,inverse(multiply(multiply(X_16,identity),identity)))) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
multiply(A,inverse(multiply(multiply(X_16,identity),identity))) = multiply(A,inverse(X_16)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_16,identity),identity)),inverse(X_16)) )],[refute_0_327,refute_0_330]) ).
cnf(refute_0_332,plain,
( multiply(A,inverse(multiply(multiply(X_16,identity),identity))) != multiply(A,inverse(X_16))
| multiply(A,inverse(multiply(multiply(X_16,identity),identity))) != divide(A,X_16)
| multiply(A,inverse(X_16)) = divide(A,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(multiply(multiply(X_16,identity),identity))),divide(A,X_16)) ),[0],$fot(multiply(A,inverse(X_16)))]]) ).
cnf(refute_0_333,plain,
( multiply(A,inverse(multiply(multiply(X_16,identity),identity))) != divide(A,X_16)
| multiply(A,inverse(X_16)) = divide(A,X_16) ),
inference(resolve,[$cnf( $equal(multiply(A,inverse(multiply(multiply(X_16,identity),identity))),multiply(A,inverse(X_16))) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
multiply(A,inverse(X_16)) = divide(A,X_16),
inference(resolve,[$cnf( $equal(multiply(A,inverse(multiply(multiply(X_16,identity),identity))),divide(A,X_16)) )],[refute_0_318,refute_0_333]) ).
cnf(refute_0_335,plain,
multiply(C,inverse(multiply(divide(B,X_10),multiply(X_10,C)))) = divide(C,multiply(divide(B,X_10),multiply(X_10,C))),
inference(subst,[],[refute_0_334:[bind(A,$fot(C)),bind(X_16,$fot(multiply(divide(B,X_10),multiply(X_10,C))))]]) ).
cnf(refute_0_336,plain,
divide(inverse(divide(A,divide(inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))),divide(inverse(A),C)))),C) = inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))),
inference(subst,[],[refute_0_42:[bind(B,$fot(inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))))))]]) ).
cnf(refute_0_337,plain,
divide(inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))),divide(inverse(A),C)) = identity,
inference(subst,[],[refute_0_187:[bind(X_7,$fot(X_14)),bind(X_9,$fot(divide(inverse(A),C)))]]) ).
cnf(refute_0_338,plain,
( divide(inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))),divide(inverse(A),C)) != identity
| divide(inverse(divide(A,divide(inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))),divide(inverse(A),C)))),C) != inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))))
| divide(inverse(divide(A,identity)),C) = inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(A,divide(inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))),divide(inverse(A),C)))),C),inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))))) ),[0,0,0,1],$fot(identity)]]) ).
cnf(refute_0_339,plain,
( divide(inverse(divide(A,divide(inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))),divide(inverse(A),C)))),C) != inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))))
| divide(inverse(divide(A,identity)),C) = inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))) ),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))),divide(inverse(A),C)),identity) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
divide(inverse(divide(A,identity)),C) = inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))),
inference(resolve,[$cnf( $equal(divide(inverse(divide(A,divide(inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))),divide(inverse(A),C)))),C),inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))))) )],[refute_0_336,refute_0_339]) ).
cnf(refute_0_341,plain,
divide(inverse(divide(X_7,divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9)))),X_9) = divide(inverse(X_7),X_9),
inference(subst,[],[refute_0_42:[bind(A,$fot(X_7)),bind(B,$fot(divide(inverse(X_7),X_9))),bind(C,$fot(X_9))]]) ).
cnf(refute_0_342,plain,
identity = divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9)),
inference(subst,[],[identity:[bind(A,$fot(divide(inverse(X_7),X_9)))]]) ).
cnf(refute_0_343,plain,
( identity != divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9))
| divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9))))]]) ).
cnf(refute_0_344,plain,
divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
( divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9)) != identity
| divide(inverse(divide(X_7,divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9)))),X_9) != divide(inverse(X_7),X_9)
| divide(inverse(divide(X_7,identity)),X_9) = divide(inverse(X_7),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_7,divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9)))),X_9),divide(inverse(X_7),X_9)) ),[0,0,0,1],$fot(identity)]]) ).
cnf(refute_0_346,plain,
( divide(inverse(divide(X_7,divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9)))),X_9) != divide(inverse(X_7),X_9)
| divide(inverse(divide(X_7,identity)),X_9) = divide(inverse(X_7),X_9) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9)),identity) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
divide(inverse(divide(X_7,identity)),X_9) = divide(inverse(X_7),X_9),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9)))),X_9),divide(inverse(X_7),X_9)) )],[refute_0_341,refute_0_346]) ).
cnf(refute_0_348,plain,
divide(X_7,identity) = multiply(X_7,identity),
inference(subst,[],[refute_0_123:[bind(X_2,$fot(X_7))]]) ).
cnf(refute_0_349,plain,
inverse(divide(X_7,identity)) = inverse(divide(X_7,identity)),
introduced(tautology,[refl,[$fot(inverse(divide(X_7,identity)))]]) ).
cnf(refute_0_350,plain,
( divide(X_7,identity) != multiply(X_7,identity)
| inverse(divide(X_7,identity)) != inverse(divide(X_7,identity))
| inverse(divide(X_7,identity)) = inverse(multiply(X_7,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_7,identity)),inverse(divide(X_7,identity))) ),[1,0],$fot(multiply(X_7,identity))]]) ).
cnf(refute_0_351,plain,
( divide(X_7,identity) != multiply(X_7,identity)
| inverse(divide(X_7,identity)) = inverse(multiply(X_7,identity)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,identity)),inverse(divide(X_7,identity))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
inverse(divide(X_7,identity)) = inverse(multiply(X_7,identity)),
inference(resolve,[$cnf( $equal(divide(X_7,identity),multiply(X_7,identity)) )],[refute_0_348,refute_0_351]) ).
cnf(refute_0_353,plain,
divide(inverse(divide(X_7,identity)),X_9) = divide(inverse(divide(X_7,identity)),X_9),
introduced(tautology,[refl,[$fot(divide(inverse(divide(X_7,identity)),X_9))]]) ).
cnf(refute_0_354,plain,
( divide(inverse(divide(X_7,identity)),X_9) != divide(inverse(divide(X_7,identity)),X_9)
| inverse(divide(X_7,identity)) != inverse(multiply(X_7,identity))
| divide(inverse(divide(X_7,identity)),X_9) = divide(inverse(multiply(X_7,identity)),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_7,identity)),X_9),divide(inverse(divide(X_7,identity)),X_9)) ),[1,0],$fot(inverse(multiply(X_7,identity)))]]) ).
cnf(refute_0_355,plain,
( inverse(divide(X_7,identity)) != inverse(multiply(X_7,identity))
| divide(inverse(divide(X_7,identity)),X_9) = divide(inverse(multiply(X_7,identity)),X_9) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,identity)),X_9),divide(inverse(divide(X_7,identity)),X_9)) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
divide(inverse(divide(X_7,identity)),X_9) = divide(inverse(multiply(X_7,identity)),X_9),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,identity)),inverse(multiply(X_7,identity))) )],[refute_0_352,refute_0_355]) ).
cnf(refute_0_357,plain,
( divide(inverse(divide(X_7,identity)),X_9) != divide(inverse(X_7),X_9)
| divide(inverse(divide(X_7,identity)),X_9) != divide(inverse(multiply(X_7,identity)),X_9)
| divide(inverse(multiply(X_7,identity)),X_9) = divide(inverse(X_7),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_7,identity)),X_9),divide(inverse(X_7),X_9)) ),[0],$fot(divide(inverse(multiply(X_7,identity)),X_9))]]) ).
cnf(refute_0_358,plain,
( divide(inverse(divide(X_7,identity)),X_9) != divide(inverse(X_7),X_9)
| divide(inverse(multiply(X_7,identity)),X_9) = divide(inverse(X_7),X_9) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,identity)),X_9),divide(inverse(multiply(X_7,identity)),X_9)) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
divide(inverse(multiply(X_7,identity)),X_9) = divide(inverse(X_7),X_9),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,identity)),X_9),divide(inverse(X_7),X_9)) )],[refute_0_347,refute_0_358]) ).
cnf(refute_0_360,plain,
divide(inverse(multiply(A,identity)),C) = divide(inverse(A),C),
inference(subst,[],[refute_0_359:[bind(X_7,$fot(A)),bind(X_9,$fot(C))]]) ).
cnf(refute_0_361,plain,
divide(A,identity) = multiply(A,identity),
inference(subst,[],[refute_0_123:[bind(X_2,$fot(A))]]) ).
cnf(refute_0_362,plain,
inverse(divide(A,identity)) = inverse(divide(A,identity)),
introduced(tautology,[refl,[$fot(inverse(divide(A,identity)))]]) ).
cnf(refute_0_363,plain,
( divide(A,identity) != multiply(A,identity)
| inverse(divide(A,identity)) != inverse(divide(A,identity))
| inverse(divide(A,identity)) = inverse(multiply(A,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(A,identity)),inverse(divide(A,identity))) ),[1,0],$fot(multiply(A,identity))]]) ).
cnf(refute_0_364,plain,
( divide(A,identity) != multiply(A,identity)
| inverse(divide(A,identity)) = inverse(multiply(A,identity)) ),
inference(resolve,[$cnf( $equal(inverse(divide(A,identity)),inverse(divide(A,identity))) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
inverse(divide(A,identity)) = inverse(multiply(A,identity)),
inference(resolve,[$cnf( $equal(divide(A,identity),multiply(A,identity)) )],[refute_0_361,refute_0_364]) ).
cnf(refute_0_366,plain,
divide(inverse(divide(A,identity)),C) = divide(inverse(divide(A,identity)),C),
introduced(tautology,[refl,[$fot(divide(inverse(divide(A,identity)),C))]]) ).
cnf(refute_0_367,plain,
( divide(inverse(divide(A,identity)),C) != divide(inverse(divide(A,identity)),C)
| inverse(divide(A,identity)) != inverse(multiply(A,identity))
| divide(inverse(divide(A,identity)),C) = divide(inverse(multiply(A,identity)),C) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(A,identity)),C),divide(inverse(divide(A,identity)),C)) ),[1,0],$fot(inverse(multiply(A,identity)))]]) ).
cnf(refute_0_368,plain,
( inverse(divide(A,identity)) != inverse(multiply(A,identity))
| divide(inverse(divide(A,identity)),C) = divide(inverse(multiply(A,identity)),C) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(A,identity)),C),divide(inverse(divide(A,identity)),C)) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
divide(inverse(divide(A,identity)),C) = divide(inverse(multiply(A,identity)),C),
inference(resolve,[$cnf( $equal(inverse(divide(A,identity)),inverse(multiply(A,identity))) )],[refute_0_365,refute_0_368]) ).
cnf(refute_0_370,plain,
( divide(inverse(multiply(A,identity)),C) != divide(inverse(A),C)
| divide(inverse(divide(A,identity)),C) != divide(inverse(multiply(A,identity)),C)
| divide(inverse(divide(A,identity)),C) = divide(inverse(A),C) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(divide(inverse(divide(A,identity)),C))),bind(Y,$fot(divide(inverse(multiply(A,identity)),C))),bind(Z,$fot(divide(inverse(A),C)))]]) ).
cnf(refute_0_371,plain,
( divide(inverse(multiply(A,identity)),C) != divide(inverse(A),C)
| divide(inverse(divide(A,identity)),C) = divide(inverse(A),C) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(A,identity)),C),divide(inverse(multiply(A,identity)),C)) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
divide(inverse(divide(A,identity)),C) = divide(inverse(A),C),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(A,identity)),C),divide(inverse(A),C)) )],[refute_0_360,refute_0_371]) ).
cnf(refute_0_373,plain,
( divide(inverse(divide(A,identity)),C) != divide(inverse(A),C)
| divide(inverse(divide(A,identity)),C) != inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))))
| divide(inverse(A),C) = inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(A,identity)),C),inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))))) ),[0],$fot(divide(inverse(A),C))]]) ).
cnf(refute_0_374,plain,
( divide(inverse(divide(A,identity)),C) != inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))))
| divide(inverse(A),C) = inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(A,identity)),C),divide(inverse(A),C)) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
divide(inverse(A),C) = inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))),
inference(resolve,[$cnf( $equal(divide(inverse(divide(A,identity)),C),inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))))) )],[refute_0_340,refute_0_374]) ).
cnf(refute_0_376,plain,
divide(C,inverse(A)) = multiply(C,A),
inference(subst,[],[refute_0_75:[bind(A,$fot(C)),bind(B,$fot(A))]]) ).
cnf(refute_0_377,plain,
inverse(divide(inverse(A),C)) = divide(C,inverse(A)),
inference(subst,[],[refute_0_298:[bind(X_21,$fot(C)),bind(X_9,$fot(inverse(A)))]]) ).
cnf(refute_0_378,plain,
( divide(C,inverse(A)) != multiply(C,A)
| inverse(divide(inverse(A),C)) != divide(C,inverse(A))
| inverse(divide(inverse(A),C)) = multiply(C,A) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(divide(inverse(A),C)))),bind(Y,$fot(divide(C,inverse(A)))),bind(Z,$fot(multiply(C,A)))]]) ).
cnf(refute_0_379,plain,
( divide(C,inverse(A)) != multiply(C,A)
| inverse(divide(inverse(A),C)) = multiply(C,A) ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(A),C)),divide(C,inverse(A))) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
inverse(divide(inverse(A),C)) = multiply(C,A),
inference(resolve,[$cnf( $equal(divide(C,inverse(A)),multiply(C,A)) )],[refute_0_376,refute_0_379]) ).
cnf(refute_0_381,plain,
divide(identity,divide(inverse(A),C)) = inverse(divide(inverse(A),C)),
inference(subst,[],[refute_0_4:[bind(A,$fot(divide(inverse(A),C)))]]) ).
cnf(refute_0_382,plain,
( divide(identity,divide(inverse(A),C)) != inverse(divide(inverse(A),C))
| inverse(divide(inverse(A),C)) != multiply(C,A)
| divide(identity,divide(inverse(A),C)) = multiply(C,A) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(divide(identity,divide(inverse(A),C)))),bind(Y,$fot(inverse(divide(inverse(A),C)))),bind(Z,$fot(multiply(C,A)))]]) ).
cnf(refute_0_383,plain,
( inverse(divide(inverse(A),C)) != multiply(C,A)
| divide(identity,divide(inverse(A),C)) = multiply(C,A) ),
inference(resolve,[$cnf( $equal(divide(identity,divide(inverse(A),C)),inverse(divide(inverse(A),C))) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
divide(identity,divide(inverse(A),C)) = multiply(C,A),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(A),C)),multiply(C,A)) )],[refute_0_380,refute_0_383]) ).
cnf(refute_0_385,plain,
divide(X_14,X_14) = identity,
inference(subst,[],[refute_0_6:[bind(A,$fot(X_14))]]) ).
cnf(refute_0_386,plain,
divide(divide(X_14,X_14),divide(inverse(A),C)) = divide(divide(X_14,X_14),divide(inverse(A),C)),
introduced(tautology,[refl,[$fot(divide(divide(X_14,X_14),divide(inverse(A),C)))]]) ).
cnf(refute_0_387,plain,
( divide(X_14,X_14) != identity
| divide(divide(X_14,X_14),divide(inverse(A),C)) != divide(divide(X_14,X_14),divide(inverse(A),C))
| divide(divide(X_14,X_14),divide(inverse(A),C)) = divide(identity,divide(inverse(A),C)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_14,X_14),divide(inverse(A),C)),divide(divide(X_14,X_14),divide(inverse(A),C))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_388,plain,
( divide(X_14,X_14) != identity
| divide(divide(X_14,X_14),divide(inverse(A),C)) = divide(identity,divide(inverse(A),C)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_14,X_14),divide(inverse(A),C)),divide(divide(X_14,X_14),divide(inverse(A),C))) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
divide(divide(X_14,X_14),divide(inverse(A),C)) = divide(identity,divide(inverse(A),C)),
inference(resolve,[$cnf( $equal(divide(X_14,X_14),identity) )],[refute_0_385,refute_0_388]) ).
cnf(refute_0_390,plain,
( divide(divide(X_14,X_14),divide(inverse(A),C)) != divide(identity,divide(inverse(A),C))
| divide(identity,divide(inverse(A),C)) != multiply(C,A)
| divide(divide(X_14,X_14),divide(inverse(A),C)) = multiply(C,A) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(divide(divide(X_14,X_14),divide(inverse(A),C)))),bind(Y,$fot(divide(identity,divide(inverse(A),C)))),bind(Z,$fot(multiply(C,A)))]]) ).
cnf(refute_0_391,plain,
( divide(identity,divide(inverse(A),C)) != multiply(C,A)
| divide(divide(X_14,X_14),divide(inverse(A),C)) = multiply(C,A) ),
inference(resolve,[$cnf( $equal(divide(divide(X_14,X_14),divide(inverse(A),C)),divide(identity,divide(inverse(A),C))) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
divide(divide(X_14,X_14),divide(inverse(A),C)) = multiply(C,A),
inference(resolve,[$cnf( $equal(divide(identity,divide(inverse(A),C)),multiply(C,A)) )],[refute_0_384,refute_0_391]) ).
cnf(refute_0_393,plain,
inverse(divide(A,X_10)) = divide(X_10,A),
inference(subst,[],[refute_0_298:[bind(X_21,$fot(X_10)),bind(X_9,$fot(A))]]) ).
cnf(refute_0_394,plain,
divide(inverse(divide(A,X_10)),C) = divide(inverse(divide(A,X_10)),C),
introduced(tautology,[refl,[$fot(divide(inverse(divide(A,X_10)),C))]]) ).
cnf(refute_0_395,plain,
( divide(inverse(divide(A,X_10)),C) != divide(inverse(divide(A,X_10)),C)
| inverse(divide(A,X_10)) != divide(X_10,A)
| divide(inverse(divide(A,X_10)),C) = divide(divide(X_10,A),C) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(A,X_10)),C),divide(inverse(divide(A,X_10)),C)) ),[1,0],$fot(divide(X_10,A))]]) ).
cnf(refute_0_396,plain,
( inverse(divide(A,X_10)) != divide(X_10,A)
| divide(inverse(divide(A,X_10)),C) = divide(divide(X_10,A),C) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(A,X_10)),C),divide(inverse(divide(A,X_10)),C)) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
divide(inverse(divide(A,X_10)),C) = divide(divide(X_10,A),C),
inference(resolve,[$cnf( $equal(inverse(divide(A,X_10)),divide(X_10,A)) )],[refute_0_393,refute_0_396]) ).
cnf(refute_0_398,plain,
( divide(inverse(divide(A,X_10)),C) != multiply(X_10,divide(inverse(A),C))
| divide(inverse(divide(A,X_10)),C) != divide(divide(X_10,A),C)
| divide(divide(X_10,A),C) = multiply(X_10,divide(inverse(A),C)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(A,X_10)),C),multiply(X_10,divide(inverse(A),C))) ),[0],$fot(divide(divide(X_10,A),C))]]) ).
cnf(refute_0_399,plain,
( divide(inverse(divide(A,X_10)),C) != multiply(X_10,divide(inverse(A),C))
| divide(divide(X_10,A),C) = multiply(X_10,divide(inverse(A),C)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(A,X_10)),C),divide(divide(X_10,A),C)) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
divide(divide(X_10,A),C) = multiply(X_10,divide(inverse(A),C)),
inference(resolve,[$cnf( $equal(divide(inverse(divide(A,X_10)),C),multiply(X_10,divide(inverse(A),C))) )],[refute_0_258,refute_0_399]) ).
cnf(refute_0_401,plain,
( divide(divide(X_10,A),C) != multiply(X_10,divide(inverse(A),C))
| multiply(X_10,divide(inverse(A),C)) = divide(divide(X_10,A),C) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(divide(divide(X_10,A),C))),bind(Y,$fot(multiply(X_10,divide(inverse(A),C))))]]) ).
cnf(refute_0_402,plain,
multiply(X_10,divide(inverse(A),C)) = divide(divide(X_10,A),C),
inference(resolve,[$cnf( $equal(divide(divide(X_10,A),C),multiply(X_10,divide(inverse(A),C))) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))) = divide(divide(X_14,X_14),divide(inverse(A),C)),
inference(subst,[],[refute_0_402:[bind(A,$fot(X_14)),bind(C,$fot(divide(inverse(A),C))),bind(X_10,$fot(X_14))]]) ).
cnf(refute_0_404,plain,
( multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))) != divide(divide(X_14,X_14),divide(inverse(A),C))
| divide(divide(X_14,X_14),divide(inverse(A),C)) != multiply(C,A)
| multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))) = multiply(C,A) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))))),bind(Y,$fot(divide(divide(X_14,X_14),divide(inverse(A),C)))),bind(Z,$fot(multiply(C,A)))]]) ).
cnf(refute_0_405,plain,
( divide(divide(X_14,X_14),divide(inverse(A),C)) != multiply(C,A)
| multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))) = multiply(C,A) ),
inference(resolve,[$cnf( $equal(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))),divide(divide(X_14,X_14),divide(inverse(A),C))) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))) = multiply(C,A),
inference(resolve,[$cnf( $equal(divide(divide(X_14,X_14),divide(inverse(A),C)),multiply(C,A)) )],[refute_0_392,refute_0_405]) ).
cnf(refute_0_407,plain,
inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))) = inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))))]]) ).
cnf(refute_0_408,plain,
( multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))) != multiply(C,A)
| inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))) != inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))))
| inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))) = inverse(multiply(C,A)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))),inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))))) ),[1,0],$fot(multiply(C,A))]]) ).
cnf(refute_0_409,plain,
( multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))) != multiply(C,A)
| inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))) = inverse(multiply(C,A)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))),inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))) = inverse(multiply(C,A)),
inference(resolve,[$cnf( $equal(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))),multiply(C,A)) )],[refute_0_406,refute_0_409]) ).
cnf(refute_0_411,plain,
( divide(inverse(A),C) != inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))))
| inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))) != inverse(multiply(C,A))
| divide(inverse(A),C) = inverse(multiply(C,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(inverse(A),C),inverse(multiply(C,A))) ),[0],$fot(inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))))]]) ).
cnf(refute_0_412,plain,
( divide(inverse(A),C) != inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))))
| divide(inverse(A),C) = inverse(multiply(C,A)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C)))),inverse(multiply(C,A))) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
divide(inverse(A),C) = inverse(multiply(C,A)),
inference(resolve,[$cnf( $equal(divide(inverse(A),C),inverse(multiply(X_14,divide(inverse(X_14),divide(inverse(A),C))))) )],[refute_0_375,refute_0_412]) ).
cnf(refute_0_414,plain,
divide(inverse(multiply(X_10,C)),divide(B,X_10)) = inverse(multiply(divide(B,X_10),multiply(X_10,C))),
inference(subst,[],[refute_0_413:[bind(A,$fot(multiply(X_10,C))),bind(C,$fot(divide(B,X_10)))]]) ).
cnf(refute_0_415,plain,
multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))) = multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))),
introduced(tautology,[refl,[$fot(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))))]]) ).
cnf(refute_0_416,plain,
( multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))) != multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))
| divide(inverse(multiply(X_10,C)),divide(B,X_10)) != inverse(multiply(divide(B,X_10),multiply(X_10,C)))
| multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))) = multiply(C,inverse(multiply(divide(B,X_10),multiply(X_10,C)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))),multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))) ),[1,1],$fot(inverse(multiply(divide(B,X_10),multiply(X_10,C))))]]) ).
cnf(refute_0_417,plain,
( divide(inverse(multiply(X_10,C)),divide(B,X_10)) != inverse(multiply(divide(B,X_10),multiply(X_10,C)))
| multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))) = multiply(C,inverse(multiply(divide(B,X_10),multiply(X_10,C)))) ),
inference(resolve,[$cnf( $equal(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))),multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))) = multiply(C,inverse(multiply(divide(B,X_10),multiply(X_10,C)))),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(X_10,C)),divide(B,X_10)),inverse(multiply(divide(B,X_10),multiply(X_10,C)))) )],[refute_0_414,refute_0_417]) ).
cnf(refute_0_419,plain,
( multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))) != multiply(C,inverse(multiply(divide(B,X_10),multiply(X_10,C))))
| multiply(C,inverse(multiply(divide(B,X_10),multiply(X_10,C)))) != divide(C,multiply(divide(B,X_10),multiply(X_10,C)))
| multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))) = divide(C,multiply(divide(B,X_10),multiply(X_10,C))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))))),bind(Y,$fot(multiply(C,inverse(multiply(divide(B,X_10),multiply(X_10,C)))))),bind(Z,$fot(divide(C,multiply(divide(B,X_10),multiply(X_10,C)))))]]) ).
cnf(refute_0_420,plain,
( multiply(C,inverse(multiply(divide(B,X_10),multiply(X_10,C)))) != divide(C,multiply(divide(B,X_10),multiply(X_10,C)))
| multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))) = divide(C,multiply(divide(B,X_10),multiply(X_10,C))) ),
inference(resolve,[$cnf( $equal(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))),multiply(C,inverse(multiply(divide(B,X_10),multiply(X_10,C))))) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))) = divide(C,multiply(divide(B,X_10),multiply(X_10,C))),
inference(resolve,[$cnf( $equal(multiply(C,inverse(multiply(divide(B,X_10),multiply(X_10,C)))),divide(C,multiply(divide(B,X_10),multiply(X_10,C)))) )],[refute_0_335,refute_0_420]) ).
cnf(refute_0_422,plain,
inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))) = inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))),
introduced(tautology,[refl,[$fot(inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))))]]) ).
cnf(refute_0_423,plain,
( multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))) != divide(C,multiply(divide(B,X_10),multiply(X_10,C)))
| inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))) != inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))))
| inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))) = inverse(divide(C,multiply(divide(B,X_10),multiply(X_10,C)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))),inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))))) ),[1,0],$fot(divide(C,multiply(divide(B,X_10),multiply(X_10,C))))]]) ).
cnf(refute_0_424,plain,
( multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))) != divide(C,multiply(divide(B,X_10),multiply(X_10,C)))
| inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))) = inverse(divide(C,multiply(divide(B,X_10),multiply(X_10,C)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))),inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))) = inverse(divide(C,multiply(divide(B,X_10),multiply(X_10,C)))),
inference(resolve,[$cnf( $equal(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))),divide(C,multiply(divide(B,X_10),multiply(X_10,C)))) )],[refute_0_421,refute_0_424]) ).
cnf(refute_0_426,plain,
( inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))) != inverse(divide(C,multiply(divide(B,X_10),multiply(X_10,C))))
| inverse(divide(C,multiply(divide(B,X_10),multiply(X_10,C)))) != divide(multiply(divide(B,X_10),multiply(X_10,C)),C)
| inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))) = divide(multiply(divide(B,X_10),multiply(X_10,C)),C) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))))),bind(Y,$fot(inverse(divide(C,multiply(divide(B,X_10),multiply(X_10,C)))))),bind(Z,$fot(divide(multiply(divide(B,X_10),multiply(X_10,C)),C)))]]) ).
cnf(refute_0_427,plain,
( inverse(divide(C,multiply(divide(B,X_10),multiply(X_10,C)))) != divide(multiply(divide(B,X_10),multiply(X_10,C)),C)
| inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))) = divide(multiply(divide(B,X_10),multiply(X_10,C)),C) ),
inference(resolve,[$cnf( $equal(inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))),inverse(divide(C,multiply(divide(B,X_10),multiply(X_10,C))))) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))) = divide(multiply(divide(B,X_10),multiply(X_10,C)),C),
inference(resolve,[$cnf( $equal(inverse(divide(C,multiply(divide(B,X_10),multiply(X_10,C)))),divide(multiply(divide(B,X_10),multiply(X_10,C)),C)) )],[refute_0_299,refute_0_427]) ).
cnf(refute_0_429,plain,
divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,X_10))),C) = inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))),
inference(subst,[],[refute_0_413:[bind(A,$fot(divide(inverse(multiply(X_10,C)),divide(B,X_10))))]]) ).
cnf(refute_0_430,plain,
( divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,X_10))),C) != inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))))
| inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))) != divide(multiply(divide(B,X_10),multiply(X_10,C)),C)
| divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,X_10))),C) = divide(multiply(divide(B,X_10),multiply(X_10,C)),C) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,X_10))),C))),bind(Y,$fot(inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))))),bind(Z,$fot(divide(multiply(divide(B,X_10),multiply(X_10,C)),C)))]]) ).
cnf(refute_0_431,plain,
( inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))) != divide(multiply(divide(B,X_10),multiply(X_10,C)),C)
| divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,X_10))),C) = divide(multiply(divide(B,X_10),multiply(X_10,C)),C) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,X_10))),C),inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10))))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,X_10))),C) = divide(multiply(divide(B,X_10),multiply(X_10,C)),C),
inference(resolve,[$cnf( $equal(inverse(multiply(C,divide(inverse(multiply(X_10,C)),divide(B,X_10)))),divide(multiply(divide(B,X_10),multiply(X_10,C)),C)) )],[refute_0_428,refute_0_431]) ).
cnf(refute_0_433,plain,
( divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,X_10))),C) != B
| divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,X_10))),C) != divide(multiply(divide(B,X_10),multiply(X_10,C)),C)
| divide(multiply(divide(B,X_10),multiply(X_10,C)),C) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,X_10))),C),B) ),[0],$fot(divide(multiply(divide(B,X_10),multiply(X_10,C)),C))]]) ).
cnf(refute_0_434,plain,
( divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,X_10))),C) != B
| divide(multiply(divide(B,X_10),multiply(X_10,C)),C) = B ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,X_10))),C),divide(multiply(divide(B,X_10),multiply(X_10,C)),C)) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
divide(multiply(divide(B,X_10),multiply(X_10,C)),C) = B,
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(multiply(X_10,C)),divide(B,X_10))),C),B) )],[refute_0_271,refute_0_434]) ).
cnf(refute_0_436,plain,
divide(multiply(divide(X_53,X_55),multiply(X_55,multiply(inverse(X_55),X_33))),multiply(inverse(X_55),X_33)) = X_53,
inference(subst,[],[refute_0_435:[bind(B,$fot(X_53)),bind(C,$fot(multiply(inverse(X_55),X_33))),bind(X_10,$fot(X_55))]]) ).
cnf(refute_0_437,plain,
multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) = divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(B)),
inference(subst,[],[refute_0_73:[bind(A,$fot(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))))))]]) ).
cnf(refute_0_438,plain,
divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(B)) = X_8,
inference(subst,[],[refute_0_42:[bind(A,$fot(X_7)),bind(B,$fot(X_8)),bind(C,$fot(inverse(B)))]]) ).
cnf(refute_0_439,plain,
( multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) != divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(B))
| divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(B)) != X_8
| multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) = X_8 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B),X_8) ),[0],$fot(divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(B)))]]) ).
cnf(refute_0_440,plain,
( multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) != divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(B))
| multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(B)),X_8) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(B))) )],[refute_0_437,refute_0_440]) ).
cnf(refute_0_442,plain,
divide(inverse(X_7),inverse(B)) = multiply(inverse(X_7),B),
inference(subst,[],[refute_0_75:[bind(A,$fot(inverse(X_7)))]]) ).
cnf(refute_0_443,plain,
divide(X_8,divide(inverse(X_7),inverse(B))) = divide(X_8,divide(inverse(X_7),inverse(B))),
introduced(tautology,[refl,[$fot(divide(X_8,divide(inverse(X_7),inverse(B))))]]) ).
cnf(refute_0_444,plain,
( divide(X_8,divide(inverse(X_7),inverse(B))) != divide(X_8,divide(inverse(X_7),inverse(B)))
| divide(inverse(X_7),inverse(B)) != multiply(inverse(X_7),B)
| divide(X_8,divide(inverse(X_7),inverse(B))) = divide(X_8,multiply(inverse(X_7),B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_8,divide(inverse(X_7),inverse(B))),divide(X_8,divide(inverse(X_7),inverse(B)))) ),[1,1],$fot(multiply(inverse(X_7),B))]]) ).
cnf(refute_0_445,plain,
( divide(inverse(X_7),inverse(B)) != multiply(inverse(X_7),B)
| divide(X_8,divide(inverse(X_7),inverse(B))) = divide(X_8,multiply(inverse(X_7),B)) ),
inference(resolve,[$cnf( $equal(divide(X_8,divide(inverse(X_7),inverse(B))),divide(X_8,divide(inverse(X_7),inverse(B)))) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
divide(X_8,divide(inverse(X_7),inverse(B))) = divide(X_8,multiply(inverse(X_7),B)),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),inverse(B)),multiply(inverse(X_7),B)) )],[refute_0_442,refute_0_445]) ).
cnf(refute_0_447,plain,
divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))) = divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))),
introduced(tautology,[refl,[$fot(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))))]]) ).
cnf(refute_0_448,plain,
( divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))) != divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))
| divide(X_8,divide(inverse(X_7),inverse(B))) != divide(X_8,multiply(inverse(X_7),B))
| divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))) = divide(X_7,divide(X_8,multiply(inverse(X_7),B))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))),divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))) ),[1,1],$fot(divide(X_8,multiply(inverse(X_7),B)))]]) ).
cnf(refute_0_449,plain,
( divide(X_8,divide(inverse(X_7),inverse(B))) != divide(X_8,multiply(inverse(X_7),B))
| divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))) = divide(X_7,divide(X_8,multiply(inverse(X_7),B))) ),
inference(resolve,[$cnf( $equal(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))),divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))) = divide(X_7,divide(X_8,multiply(inverse(X_7),B))),
inference(resolve,[$cnf( $equal(divide(X_8,divide(inverse(X_7),inverse(B))),divide(X_8,multiply(inverse(X_7),B))) )],[refute_0_446,refute_0_449]) ).
cnf(refute_0_451,plain,
inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))) = inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),
introduced(tautology,[refl,[$fot(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))))]]) ).
cnf(refute_0_452,plain,
( divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))) != divide(X_7,divide(X_8,multiply(inverse(X_7),B)))
| inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))) != inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))))
| inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))) = inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))))) ),[1,0],$fot(divide(X_7,divide(X_8,multiply(inverse(X_7),B))))]]) ).
cnf(refute_0_453,plain,
( divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))) != divide(X_7,divide(X_8,multiply(inverse(X_7),B)))
| inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))) = inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))) = inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),
inference(resolve,[$cnf( $equal(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))),divide(X_7,divide(X_8,multiply(inverse(X_7),B)))) )],[refute_0_450,refute_0_453]) ).
cnf(refute_0_455,plain,
multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) = multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B),
introduced(tautology,[refl,[$fot(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B))]]) ).
cnf(refute_0_456,plain,
( multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) != multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B)
| inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))) != inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B))))
| multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) = multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B),multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B)) ),[1,0],$fot(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))))]]) ).
cnf(refute_0_457,plain,
( inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))) != inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B))))
| multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) = multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B),multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B)) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) = multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B))))) )],[refute_0_454,refute_0_457]) ).
cnf(refute_0_459,plain,
( multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) != X_8
| multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) != multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B)
| multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B),X_8) ),[0],$fot(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B))]]) ).
cnf(refute_0_460,plain,
( multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) != X_8
| multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B),multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B)) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B),X_8) )],[refute_0_441,refute_0_460]) ).
cnf(refute_0_462,plain,
inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))) = divide(divide(X_8,multiply(inverse(X_7),B)),X_7),
inference(subst,[],[refute_0_298:[bind(X_21,$fot(divide(X_8,multiply(inverse(X_7),B)))),bind(X_9,$fot(X_7))]]) ).
cnf(refute_0_463,plain,
multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) = multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B),
introduced(tautology,[refl,[$fot(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B))]]) ).
cnf(refute_0_464,plain,
( multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) != multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B)
| inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))) != divide(divide(X_8,multiply(inverse(X_7),B)),X_7)
| multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) = multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B),multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B)) ),[1,0],$fot(divide(divide(X_8,multiply(inverse(X_7),B)),X_7))]]) ).
cnf(refute_0_465,plain,
( inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))) != divide(divide(X_8,multiply(inverse(X_7),B)),X_7)
| multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) = multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B),multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B)) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) = multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),divide(divide(X_8,multiply(inverse(X_7),B)),X_7)) )],[refute_0_462,refute_0_465]) ).
cnf(refute_0_467,plain,
( multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) != X_8
| multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) != multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B)
| multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B),X_8) ),[0],$fot(multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B))]]) ).
cnf(refute_0_468,plain,
( multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) != X_8
| multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B),multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B)) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B),X_8) )],[refute_0_461,refute_0_468]) ).
cnf(refute_0_470,plain,
multiply(X_10,inverse(multiply(C,A))) = divide(X_10,multiply(C,A)),
inference(subst,[],[refute_0_334:[bind(A,$fot(X_10)),bind(X_16,$fot(multiply(C,A)))]]) ).
cnf(refute_0_471,plain,
multiply(X_10,divide(inverse(A),C)) = multiply(X_10,divide(inverse(A),C)),
introduced(tautology,[refl,[$fot(multiply(X_10,divide(inverse(A),C)))]]) ).
cnf(refute_0_472,plain,
( multiply(X_10,divide(inverse(A),C)) != multiply(X_10,divide(inverse(A),C))
| divide(inverse(A),C) != inverse(multiply(C,A))
| multiply(X_10,divide(inverse(A),C)) = multiply(X_10,inverse(multiply(C,A))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,divide(inverse(A),C)),multiply(X_10,divide(inverse(A),C))) ),[1,1],$fot(inverse(multiply(C,A)))]]) ).
cnf(refute_0_473,plain,
( divide(inverse(A),C) != inverse(multiply(C,A))
| multiply(X_10,divide(inverse(A),C)) = multiply(X_10,inverse(multiply(C,A))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,divide(inverse(A),C)),multiply(X_10,divide(inverse(A),C))) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
multiply(X_10,divide(inverse(A),C)) = multiply(X_10,inverse(multiply(C,A))),
inference(resolve,[$cnf( $equal(divide(inverse(A),C),inverse(multiply(C,A))) )],[refute_0_413,refute_0_473]) ).
cnf(refute_0_475,plain,
( multiply(X_10,divide(inverse(A),C)) != multiply(X_10,inverse(multiply(C,A)))
| multiply(X_10,inverse(multiply(C,A))) != divide(X_10,multiply(C,A))
| multiply(X_10,divide(inverse(A),C)) = divide(X_10,multiply(C,A)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(X_10,divide(inverse(A),C)))),bind(Y,$fot(multiply(X_10,inverse(multiply(C,A))))),bind(Z,$fot(divide(X_10,multiply(C,A))))]]) ).
cnf(refute_0_476,plain,
( multiply(X_10,inverse(multiply(C,A))) != divide(X_10,multiply(C,A))
| multiply(X_10,divide(inverse(A),C)) = divide(X_10,multiply(C,A)) ),
inference(resolve,[$cnf( $equal(multiply(X_10,divide(inverse(A),C)),multiply(X_10,inverse(multiply(C,A)))) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
multiply(X_10,divide(inverse(A),C)) = divide(X_10,multiply(C,A)),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(multiply(C,A))),divide(X_10,multiply(C,A))) )],[refute_0_470,refute_0_476]) ).
cnf(refute_0_478,plain,
( multiply(X_10,divide(inverse(A),C)) != divide(X_10,multiply(C,A))
| divide(divide(X_10,A),C) != multiply(X_10,divide(inverse(A),C))
| divide(divide(X_10,A),C) = divide(X_10,multiply(C,A)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_10,A),C),multiply(X_10,divide(inverse(A),C))) ),[1],$fot(divide(X_10,multiply(C,A)))]]) ).
cnf(refute_0_479,plain,
( divide(divide(X_10,A),C) != multiply(X_10,divide(inverse(A),C))
| divide(divide(X_10,A),C) = divide(X_10,multiply(C,A)) ),
inference(resolve,[$cnf( $equal(multiply(X_10,divide(inverse(A),C)),divide(X_10,multiply(C,A))) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
divide(divide(X_10,A),C) = divide(X_10,multiply(C,A)),
inference(resolve,[$cnf( $equal(divide(divide(X_10,A),C),multiply(X_10,divide(inverse(A),C))) )],[refute_0_400,refute_0_479]) ).
cnf(refute_0_481,plain,
divide(divide(X_8,multiply(inverse(X_7),B)),X_7) = divide(X_8,multiply(X_7,multiply(inverse(X_7),B))),
inference(subst,[],[refute_0_480:[bind(A,$fot(multiply(inverse(X_7),B))),bind(C,$fot(X_7)),bind(X_10,$fot(X_8))]]) ).
cnf(refute_0_482,plain,
multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B) = multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B),
introduced(tautology,[refl,[$fot(multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B))]]) ).
cnf(refute_0_483,plain,
( multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B) != multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B)
| divide(divide(X_8,multiply(inverse(X_7),B)),X_7) != divide(X_8,multiply(X_7,multiply(inverse(X_7),B)))
| multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B) = multiply(divide(X_8,multiply(X_7,multiply(inverse(X_7),B))),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B),multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B)) ),[1,0],$fot(divide(X_8,multiply(X_7,multiply(inverse(X_7),B))))]]) ).
cnf(refute_0_484,plain,
( divide(divide(X_8,multiply(inverse(X_7),B)),X_7) != divide(X_8,multiply(X_7,multiply(inverse(X_7),B)))
| multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B) = multiply(divide(X_8,multiply(X_7,multiply(inverse(X_7),B))),B) ),
inference(resolve,[$cnf( $equal(multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B),multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B)) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B) = multiply(divide(X_8,multiply(X_7,multiply(inverse(X_7),B))),B),
inference(resolve,[$cnf( $equal(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),divide(X_8,multiply(X_7,multiply(inverse(X_7),B)))) )],[refute_0_481,refute_0_484]) ).
cnf(refute_0_486,plain,
( multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B) != X_8
| multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B) != multiply(divide(X_8,multiply(X_7,multiply(inverse(X_7),B))),B)
| multiply(divide(X_8,multiply(X_7,multiply(inverse(X_7),B))),B) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B),X_8) ),[0],$fot(multiply(divide(X_8,multiply(X_7,multiply(inverse(X_7),B))),B))]]) ).
cnf(refute_0_487,plain,
( multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B) != X_8
| multiply(divide(X_8,multiply(X_7,multiply(inverse(X_7),B))),B) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B),multiply(divide(X_8,multiply(X_7,multiply(inverse(X_7),B))),B)) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
multiply(divide(X_8,multiply(X_7,multiply(inverse(X_7),B))),B) = X_8,
inference(resolve,[$cnf( $equal(multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B),X_8) )],[refute_0_469,refute_0_487]) ).
cnf(refute_0_489,plain,
multiply(divide(multiply(X_34,multiply(inverse(X_34),X_33)),multiply(X_34,multiply(inverse(X_34),X_33))),X_33) = multiply(X_34,multiply(inverse(X_34),X_33)),
inference(subst,[],[refute_0_488:[bind(B,$fot(X_33)),bind(X_7,$fot(X_34)),bind(X_8,$fot(multiply(X_34,multiply(inverse(X_34),X_33))))]]) ).
cnf(refute_0_490,plain,
identity = divide(multiply(X_34,multiply(inverse(X_34),X_33)),multiply(X_34,multiply(inverse(X_34),X_33))),
inference(subst,[],[identity:[bind(A,$fot(multiply(X_34,multiply(inverse(X_34),X_33))))]]) ).
cnf(refute_0_491,plain,
( identity != divide(multiply(X_34,multiply(inverse(X_34),X_33)),multiply(X_34,multiply(inverse(X_34),X_33)))
| divide(multiply(X_34,multiply(inverse(X_34),X_33)),multiply(X_34,multiply(inverse(X_34),X_33))) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(divide(multiply(X_34,multiply(inverse(X_34),X_33)),multiply(X_34,multiply(inverse(X_34),X_33)))))]]) ).
cnf(refute_0_492,plain,
divide(multiply(X_34,multiply(inverse(X_34),X_33)),multiply(X_34,multiply(inverse(X_34),X_33))) = identity,
inference(resolve,[$cnf( $equal(identity,divide(multiply(X_34,multiply(inverse(X_34),X_33)),multiply(X_34,multiply(inverse(X_34),X_33)))) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
( multiply(divide(multiply(X_34,multiply(inverse(X_34),X_33)),multiply(X_34,multiply(inverse(X_34),X_33))),X_33) != multiply(X_34,multiply(inverse(X_34),X_33))
| divide(multiply(X_34,multiply(inverse(X_34),X_33)),multiply(X_34,multiply(inverse(X_34),X_33))) != identity
| multiply(identity,X_33) = multiply(X_34,multiply(inverse(X_34),X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(multiply(X_34,multiply(inverse(X_34),X_33)),multiply(X_34,multiply(inverse(X_34),X_33))),X_33),multiply(X_34,multiply(inverse(X_34),X_33))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_494,plain,
( multiply(divide(multiply(X_34,multiply(inverse(X_34),X_33)),multiply(X_34,multiply(inverse(X_34),X_33))),X_33) != multiply(X_34,multiply(inverse(X_34),X_33))
| multiply(identity,X_33) = multiply(X_34,multiply(inverse(X_34),X_33)) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_34,multiply(inverse(X_34),X_33)),multiply(X_34,multiply(inverse(X_34),X_33))),identity) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
multiply(identity,X_33) = multiply(X_34,multiply(inverse(X_34),X_33)),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(X_34,multiply(inverse(X_34),X_33)),multiply(X_34,multiply(inverse(X_34),X_33))),X_33),multiply(X_34,multiply(inverse(X_34),X_33))) )],[refute_0_489,refute_0_494]) ).
cnf(refute_0_496,plain,
inverse(inverse(X_3)) = X_3,
inference(subst,[],[refute_0_254:[bind(X_13,$fot(X_3))]]) ).
cnf(refute_0_497,plain,
( inverse(inverse(X_3)) != X_3
| inverse(inverse(X_3)) != multiply(identity,X_3)
| X_3 = multiply(identity,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_3)),multiply(identity,X_3)) ),[0],$fot(X_3)]]) ).
cnf(refute_0_498,plain,
( inverse(inverse(X_3)) != multiply(identity,X_3)
| X_3 = multiply(identity,X_3) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),X_3) )],[refute_0_496,refute_0_497]) ).
cnf(refute_0_499,plain,
X_3 = multiply(identity,X_3),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),multiply(identity,X_3)) )],[refute_0_223,refute_0_498]) ).
cnf(refute_0_500,plain,
( X_3 != multiply(identity,X_3)
| multiply(identity,X_3) = X_3 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_3)),bind(Y,$fot(multiply(identity,X_3)))]]) ).
cnf(refute_0_501,plain,
multiply(identity,X_3) = X_3,
inference(resolve,[$cnf( $equal(X_3,multiply(identity,X_3)) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
multiply(identity,X_33) = X_33,
inference(subst,[],[refute_0_501:[bind(X_3,$fot(X_33))]]) ).
cnf(refute_0_503,plain,
( multiply(identity,X_33) != X_33
| multiply(identity,X_33) != multiply(X_34,multiply(inverse(X_34),X_33))
| X_33 = multiply(X_34,multiply(inverse(X_34),X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_33),multiply(X_34,multiply(inverse(X_34),X_33))) ),[0],$fot(X_33)]]) ).
cnf(refute_0_504,plain,
( multiply(identity,X_33) != multiply(X_34,multiply(inverse(X_34),X_33))
| X_33 = multiply(X_34,multiply(inverse(X_34),X_33)) ),
inference(resolve,[$cnf( $equal(multiply(identity,X_33),X_33) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
X_33 = multiply(X_34,multiply(inverse(X_34),X_33)),
inference(resolve,[$cnf( $equal(multiply(identity,X_33),multiply(X_34,multiply(inverse(X_34),X_33))) )],[refute_0_495,refute_0_504]) ).
cnf(refute_0_506,plain,
X_33 = multiply(X_55,multiply(inverse(X_55),X_33)),
inference(subst,[],[refute_0_505:[bind(X_34,$fot(X_55))]]) ).
cnf(refute_0_507,plain,
( X_33 != multiply(X_55,multiply(inverse(X_55),X_33))
| multiply(X_55,multiply(inverse(X_55),X_33)) = X_33 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_33)),bind(Y,$fot(multiply(X_55,multiply(inverse(X_55),X_33))))]]) ).
cnf(refute_0_508,plain,
multiply(X_55,multiply(inverse(X_55),X_33)) = X_33,
inference(resolve,[$cnf( $equal(X_33,multiply(X_55,multiply(inverse(X_55),X_33))) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
( multiply(X_55,multiply(inverse(X_55),X_33)) != X_33
| divide(multiply(divide(X_53,X_55),multiply(X_55,multiply(inverse(X_55),X_33))),multiply(inverse(X_55),X_33)) != X_53
| divide(multiply(divide(X_53,X_55),X_33),multiply(inverse(X_55),X_33)) = X_53 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(X_53,X_55),multiply(X_55,multiply(inverse(X_55),X_33))),multiply(inverse(X_55),X_33)),X_53) ),[0,0,1],$fot(X_33)]]) ).
cnf(refute_0_510,plain,
( divide(multiply(divide(X_53,X_55),multiply(X_55,multiply(inverse(X_55),X_33))),multiply(inverse(X_55),X_33)) != X_53
| divide(multiply(divide(X_53,X_55),X_33),multiply(inverse(X_55),X_33)) = X_53 ),
inference(resolve,[$cnf( $equal(multiply(X_55,multiply(inverse(X_55),X_33)),X_33) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
divide(multiply(divide(X_53,X_55),X_33),multiply(inverse(X_55),X_33)) = X_53,
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_53,X_55),multiply(X_55,multiply(inverse(X_55),X_33))),multiply(inverse(X_55),X_33)),X_53) )],[refute_0_436,refute_0_510]) ).
cnf(refute_0_512,plain,
divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(inverse(inverse(X_13)),X_63)) = X_64,
inference(subst,[],[refute_0_511:[bind(X_33,$fot(X_63)),bind(X_53,$fot(X_64)),bind(X_55,$fot(inverse(X_13)))]]) ).
cnf(refute_0_513,plain,
( divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(inverse(inverse(X_13)),X_63)) != X_64
| inverse(inverse(X_13)) != X_13
| divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63)) = X_64 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(inverse(inverse(X_13)),X_63)),X_64) ),[0,1,0],$fot(X_13)]]) ).
cnf(refute_0_514,plain,
( divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(inverse(inverse(X_13)),X_63)) != X_64
| divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63)) = X_64 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_254,refute_0_513]) ).
cnf(refute_0_515,plain,
divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63)) = X_64,
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(inverse(inverse(X_13)),X_63)),X_64) )],[refute_0_512,refute_0_514]) ).
cnf(refute_0_516,plain,
divide(X_64,inverse(X_13)) = multiply(X_64,X_13),
inference(subst,[],[refute_0_75:[bind(A,$fot(X_64)),bind(B,$fot(X_13))]]) ).
cnf(refute_0_517,plain,
multiply(divide(X_64,inverse(X_13)),X_63) = multiply(divide(X_64,inverse(X_13)),X_63),
introduced(tautology,[refl,[$fot(multiply(divide(X_64,inverse(X_13)),X_63))]]) ).
cnf(refute_0_518,plain,
( multiply(divide(X_64,inverse(X_13)),X_63) != multiply(divide(X_64,inverse(X_13)),X_63)
| divide(X_64,inverse(X_13)) != multiply(X_64,X_13)
| multiply(divide(X_64,inverse(X_13)),X_63) = multiply(multiply(X_64,X_13),X_63) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_64,inverse(X_13)),X_63),multiply(divide(X_64,inverse(X_13)),X_63)) ),[1,0],$fot(multiply(X_64,X_13))]]) ).
cnf(refute_0_519,plain,
( divide(X_64,inverse(X_13)) != multiply(X_64,X_13)
| multiply(divide(X_64,inverse(X_13)),X_63) = multiply(multiply(X_64,X_13),X_63) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_64,inverse(X_13)),X_63),multiply(divide(X_64,inverse(X_13)),X_63)) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
multiply(divide(X_64,inverse(X_13)),X_63) = multiply(multiply(X_64,X_13),X_63),
inference(resolve,[$cnf( $equal(divide(X_64,inverse(X_13)),multiply(X_64,X_13)) )],[refute_0_516,refute_0_519]) ).
cnf(refute_0_521,plain,
divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63)) = divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63)),
introduced(tautology,[refl,[$fot(divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63)))]]) ).
cnf(refute_0_522,plain,
( multiply(divide(X_64,inverse(X_13)),X_63) != multiply(multiply(X_64,X_13),X_63)
| divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63)) != divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63))
| divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63)) = divide(multiply(multiply(X_64,X_13),X_63),multiply(X_13,X_63)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63)),divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63))) ),[1,0],$fot(multiply(multiply(X_64,X_13),X_63))]]) ).
cnf(refute_0_523,plain,
( multiply(divide(X_64,inverse(X_13)),X_63) != multiply(multiply(X_64,X_13),X_63)
| divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63)) = divide(multiply(multiply(X_64,X_13),X_63),multiply(X_13,X_63)) ),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63)),divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63))) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63)) = divide(multiply(multiply(X_64,X_13),X_63),multiply(X_13,X_63)),
inference(resolve,[$cnf( $equal(multiply(divide(X_64,inverse(X_13)),X_63),multiply(multiply(X_64,X_13),X_63)) )],[refute_0_520,refute_0_523]) ).
cnf(refute_0_525,plain,
( divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63)) != X_64
| divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63)) != divide(multiply(multiply(X_64,X_13),X_63),multiply(X_13,X_63))
| divide(multiply(multiply(X_64,X_13),X_63),multiply(X_13,X_63)) = X_64 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63)),X_64) ),[0],$fot(divide(multiply(multiply(X_64,X_13),X_63),multiply(X_13,X_63)))]]) ).
cnf(refute_0_526,plain,
( divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63)) != X_64
| divide(multiply(multiply(X_64,X_13),X_63),multiply(X_13,X_63)) = X_64 ),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63)),divide(multiply(multiply(X_64,X_13),X_63),multiply(X_13,X_63))) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
divide(multiply(multiply(X_64,X_13),X_63),multiply(X_13,X_63)) = X_64,
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_64,inverse(X_13)),X_63),multiply(X_13,X_63)),X_64) )],[refute_0_515,refute_0_526]) ).
cnf(refute_0_528,plain,
divide(multiply(multiply(X_97,X_95),X_96),multiply(X_95,X_96)) = X_97,
inference(subst,[],[refute_0_527:[bind(X_13,$fot(X_95)),bind(X_63,$fot(X_96)),bind(X_64,$fot(X_97))]]) ).
cnf(refute_0_529,plain,
( multiply(divide(multiply(multiply(X_97,X_95),X_96),multiply(X_95,X_96)),multiply(X_95,X_96)) != multiply(multiply(X_97,X_95),X_96)
| divide(multiply(multiply(X_97,X_95),X_96),multiply(X_95,X_96)) != X_97
| multiply(X_97,multiply(X_95,X_96)) = multiply(multiply(X_97,X_95),X_96) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(multiply(multiply(X_97,X_95),X_96),multiply(X_95,X_96)),multiply(X_95,X_96)),multiply(multiply(X_97,X_95),X_96)) ),[0,0],$fot(X_97)]]) ).
cnf(refute_0_530,plain,
( multiply(divide(multiply(multiply(X_97,X_95),X_96),multiply(X_95,X_96)),multiply(X_95,X_96)) != multiply(multiply(X_97,X_95),X_96)
| multiply(X_97,multiply(X_95,X_96)) = multiply(multiply(X_97,X_95),X_96) ),
inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_97,X_95),X_96),multiply(X_95,X_96)),X_97) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
multiply(X_97,multiply(X_95,X_96)) = multiply(multiply(X_97,X_95),X_96),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(multiply(X_97,X_95),X_96),multiply(X_95,X_96)),multiply(X_95,X_96)),multiply(multiply(X_97,X_95),X_96)) )],[refute_0_266,refute_0_530]) ).
cnf(refute_0_532,plain,
( multiply(X_97,multiply(X_95,X_96)) != multiply(multiply(X_97,X_95),X_96)
| multiply(multiply(X_97,X_95),X_96) = multiply(X_97,multiply(X_95,X_96)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_97,multiply(X_95,X_96)))),bind(Y,$fot(multiply(multiply(X_97,X_95),X_96)))]]) ).
cnf(refute_0_533,plain,
multiply(multiply(X_97,X_95),X_96) = multiply(X_97,multiply(X_95,X_96)),
inference(resolve,[$cnf( $equal(multiply(X_97,multiply(X_95,X_96)),multiply(multiply(X_97,X_95),X_96)) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_533:[bind(X_95,$fot(b3)),bind(X_96,$fot(c3)),bind(X_97,$fot(a3))]]) ).
cnf(refute_0_535,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_536,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_536,prove_these_axioms_3]) ).
cnf(refute_0_538,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_539,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_538,refute_0_537]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP456-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 23:44:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43
% 0.19/0.43 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.52
%------------------------------------------------------------------------------