TSTP Solution File: GRP066-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP066-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 10:34:13 EDT 2022
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 103
% Syntax : Number of clauses : 341 ( 172 unt; 0 nHn; 172 RR)
% Number of literals : 587 ( 586 equ; 252 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 614 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z) = Y ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,divide(identity,Y)) ).
cnf(inverse,axiom,
inverse(X) = divide(identity,X) ).
cnf(identity,axiom,
identity = divide(X,X) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ).
cnf(refute_0_0,plain,
identity = divide(inverse(X_3),inverse(X_3)),
inference(subst,[],[identity:[bind(X,$fot(inverse(X_3)))]]) ).
cnf(refute_0_1,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_2,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_3,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( inverse(X) != divide(identity,X)
| divide(identity,X) = inverse(X) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(X))),bind(Y0,$fot(divide(identity,X)))]]) ).
cnf(refute_0_5,plain,
divide(identity,X) = inverse(X),
inference(resolve,[$cnf( $equal(inverse(X),divide(identity,X)) )],[inverse,refute_0_4]) ).
cnf(refute_0_6,plain,
divide(identity,Y) = inverse(Y),
inference(subst,[],[refute_0_5:[bind(X,$fot(Y))]]) ).
cnf(refute_0_7,plain,
divide(X,divide(identity,Y)) = divide(X,divide(identity,Y)),
introduced(tautology,[refl,[$fot(divide(X,divide(identity,Y)))]]) ).
cnf(refute_0_8,plain,
( divide(X,divide(identity,Y)) != divide(X,divide(identity,Y))
| divide(identity,Y) != inverse(Y)
| divide(X,divide(identity,Y)) = divide(X,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(identity,Y)),divide(X,divide(identity,Y))) ),[1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_9,plain,
( divide(identity,Y) != inverse(Y)
| divide(X,divide(identity,Y)) = divide(X,inverse(Y)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(identity,Y)),divide(X,divide(identity,Y))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
divide(X,divide(identity,Y)) = divide(X,inverse(Y)),
inference(resolve,[$cnf( $equal(divide(identity,Y),inverse(Y)) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
( multiply(X,Y) != divide(X,divide(identity,Y))
| divide(X,divide(identity,Y)) != divide(X,inverse(Y))
| multiply(X,Y) = divide(X,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,Y),divide(X,inverse(Y))) ),[0],$fot(divide(X,divide(identity,Y)))]]) ).
cnf(refute_0_12,plain,
( multiply(X,Y) != divide(X,divide(identity,Y))
| multiply(X,Y) = divide(X,inverse(Y)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(identity,Y)),divide(X,inverse(Y))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
multiply(X,Y) = divide(X,inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,divide(identity,Y))) )],[multiply,refute_0_12]) ).
cnf(refute_0_14,plain,
multiply(inverse(X_3),X_3) = divide(inverse(X_3),inverse(X_3)),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(X_3))),bind(Y,$fot(X_3))]]) ).
cnf(refute_0_15,plain,
( multiply(inverse(X_3),X_3) != divide(inverse(X_3),inverse(X_3))
| divide(inverse(X_3),inverse(X_3)) = multiply(inverse(X_3),X_3) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(inverse(X_3),X_3))),bind(Y0,$fot(divide(inverse(X_3),inverse(X_3))))]]) ).
cnf(refute_0_16,plain,
divide(inverse(X_3),inverse(X_3)) = multiply(inverse(X_3),X_3),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),divide(inverse(X_3),inverse(X_3))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( divide(inverse(X_3),inverse(X_3)) != multiply(inverse(X_3),X_3)
| identity != divide(inverse(X_3),inverse(X_3))
| identity = multiply(inverse(X_3),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(identity,divide(inverse(X_3),inverse(X_3))) ),[1],$fot(multiply(inverse(X_3),X_3))]]) ).
cnf(refute_0_18,plain,
( identity != divide(inverse(X_3),inverse(X_3))
| identity = multiply(inverse(X_3),X_3) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_3),inverse(X_3)),multiply(inverse(X_3),X_3)) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
identity = multiply(inverse(X_3),X_3),
inference(resolve,[$cnf( $equal(identity,divide(inverse(X_3),inverse(X_3))) )],[refute_0_0,refute_0_18]) ).
cnf(refute_0_20,plain,
( identity != multiply(inverse(X_3),X_3)
| multiply(inverse(X_3),X_3) = identity ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(identity)),bind(Y0,$fot(multiply(inverse(X_3),X_3)))]]) ).
cnf(refute_0_21,plain,
multiply(inverse(X_3),X_3) = identity,
inference(resolve,[$cnf( $equal(identity,multiply(inverse(X_3),X_3)) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
multiply(inverse(a1),a1) = identity,
inference(subst,[],[refute_0_21:[bind(X_3,$fot(a1))]]) ).
cnf(refute_0_23,plain,
( multiply(inverse(a1),a1) != identity
| identity != identity
| multiply(inverse(a1),a1) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),identity) ),[0],$fot(identity)]]) ).
cnf(refute_0_24,plain,
( identity != identity
| multiply(inverse(a1),a1) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_24,prove_these_axioms]) ).
cnf(refute_0_26,plain,
inverse(inverse(X_3)) = divide(identity,inverse(X_3)),
inference(subst,[],[inverse:[bind(X,$fot(inverse(X_3)))]]) ).
cnf(refute_0_27,plain,
multiply(identity,X_3) = divide(identity,inverse(X_3)),
inference(subst,[],[refute_0_13:[bind(X,$fot(identity)),bind(Y,$fot(X_3))]]) ).
cnf(refute_0_28,plain,
( multiply(identity,X_3) != divide(identity,inverse(X_3))
| divide(identity,inverse(X_3)) = multiply(identity,X_3) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(identity,X_3))),bind(Y0,$fot(divide(identity,inverse(X_3))))]]) ).
cnf(refute_0_29,plain,
divide(identity,inverse(X_3)) = multiply(identity,X_3),
inference(resolve,[$cnf( $equal(multiply(identity,X_3),divide(identity,inverse(X_3))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
( divide(identity,inverse(X_3)) != multiply(identity,X_3)
| inverse(inverse(X_3)) != divide(identity,inverse(X_3))
| inverse(inverse(X_3)) = multiply(identity,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_3)),divide(identity,inverse(X_3))) ),[1],$fot(multiply(identity,X_3))]]) ).
cnf(refute_0_31,plain,
( inverse(inverse(X_3)) != divide(identity,inverse(X_3))
| inverse(inverse(X_3)) = multiply(identity,X_3) ),
inference(resolve,[$cnf( $equal(divide(identity,inverse(X_3)),multiply(identity,X_3)) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
inverse(inverse(X_3)) = multiply(identity,X_3),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),divide(identity,inverse(X_3))) )],[refute_0_26,refute_0_31]) ).
cnf(refute_0_33,plain,
( identity != divide(X,X)
| divide(X,X) = identity ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(X,X)))]]) ).
cnf(refute_0_34,plain,
divide(X,X) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X,X)) )],[identity,refute_0_33]) ).
cnf(refute_0_35,plain,
divide(divide(X,X),X) = divide(divide(X,X),X),
introduced(tautology,[refl,[$fot(divide(divide(X,X),X))]]) ).
cnf(refute_0_36,plain,
( divide(X,X) != identity
| divide(divide(X,X),X) != divide(divide(X,X),X)
| divide(divide(X,X),X) = divide(identity,X) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,X),X),divide(divide(X,X),X)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_37,plain,
( divide(X,X) != identity
| divide(divide(X,X),X) = divide(identity,X) ),
inference(resolve,[$cnf( $equal(divide(divide(X,X),X),divide(divide(X,X),X)) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
divide(divide(X,X),X) = divide(identity,X),
inference(resolve,[$cnf( $equal(divide(X,X),identity) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_40,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_3,refute_0_39]) ).
cnf(refute_0_41,plain,
( divide(divide(X,X),X) != divide(identity,X)
| divide(identity,X) != inverse(X)
| divide(divide(X,X),X) = inverse(X) ),
inference(subst,[],[refute_0_40:[bind(X0,$fot(divide(divide(X,X),X))),bind(Y0,$fot(divide(identity,X))),bind(Z0,$fot(inverse(X)))]]) ).
cnf(refute_0_42,plain,
( divide(identity,X) != inverse(X)
| divide(divide(X,X),X) = inverse(X) ),
inference(resolve,[$cnf( $equal(divide(divide(X,X),X),divide(identity,X)) )],[refute_0_38,refute_0_41]) ).
cnf(refute_0_43,plain,
divide(divide(X,X),X) = inverse(X),
inference(resolve,[$cnf( $equal(divide(identity,X),inverse(X)) )],[refute_0_5,refute_0_42]) ).
cnf(refute_0_44,plain,
divide(divide(divide(X,X),X),Z) = divide(divide(divide(X,X),X),Z),
introduced(tautology,[refl,[$fot(divide(divide(divide(X,X),X),Z))]]) ).
cnf(refute_0_45,plain,
( divide(divide(X,X),X) != inverse(X)
| divide(divide(divide(X,X),X),Z) != divide(divide(divide(X,X),X),Z)
| divide(divide(divide(X,X),X),Z) = divide(inverse(X),Z) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X,X),X),Z),divide(divide(divide(X,X),X),Z)) ),[1,0],$fot(inverse(X))]]) ).
cnf(refute_0_46,plain,
( divide(divide(X,X),X) != inverse(X)
| divide(divide(divide(X,X),X),Z) = divide(inverse(X),Z) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X,X),X),Z),divide(divide(divide(X,X),X),Z)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
divide(divide(divide(X,X),X),Z) = divide(inverse(X),Z),
inference(resolve,[$cnf( $equal(divide(divide(X,X),X),inverse(X)) )],[refute_0_43,refute_0_46]) ).
cnf(refute_0_48,plain,
divide(Y,divide(divide(divide(X,X),X),Z)) = divide(Y,divide(divide(divide(X,X),X),Z)),
introduced(tautology,[refl,[$fot(divide(Y,divide(divide(divide(X,X),X),Z)))]]) ).
cnf(refute_0_49,plain,
( divide(Y,divide(divide(divide(X,X),X),Z)) != divide(Y,divide(divide(divide(X,X),X),Z))
| divide(divide(divide(X,X),X),Z) != divide(inverse(X),Z)
| divide(Y,divide(divide(divide(X,X),X),Z)) = divide(Y,divide(inverse(X),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(Y,divide(divide(divide(X,X),X),Z)),divide(Y,divide(divide(divide(X,X),X),Z))) ),[1,1],$fot(divide(inverse(X),Z))]]) ).
cnf(refute_0_50,plain,
( divide(divide(divide(X,X),X),Z) != divide(inverse(X),Z)
| divide(Y,divide(divide(divide(X,X),X),Z)) = divide(Y,divide(inverse(X),Z)) ),
inference(resolve,[$cnf( $equal(divide(Y,divide(divide(divide(X,X),X),Z)),divide(Y,divide(divide(divide(X,X),X),Z))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
divide(Y,divide(divide(divide(X,X),X),Z)) = divide(Y,divide(inverse(X),Z)),
inference(resolve,[$cnf( $equal(divide(divide(divide(X,X),X),Z),divide(inverse(X),Z)) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
divide(X,divide(Y,divide(divide(divide(X,X),X),Z))) = divide(X,divide(Y,divide(divide(divide(X,X),X),Z))),
introduced(tautology,[refl,[$fot(divide(X,divide(Y,divide(divide(divide(X,X),X),Z))))]]) ).
cnf(refute_0_53,plain,
( divide(X,divide(Y,divide(divide(divide(X,X),X),Z))) != divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))
| divide(Y,divide(divide(divide(X,X),X),Z)) != divide(Y,divide(inverse(X),Z))
| divide(X,divide(Y,divide(divide(divide(X,X),X),Z))) = divide(X,divide(Y,divide(inverse(X),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(Y,divide(divide(divide(X,X),X),Z))),divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))) ),[1,1],$fot(divide(Y,divide(inverse(X),Z)))]]) ).
cnf(refute_0_54,plain,
( divide(Y,divide(divide(divide(X,X),X),Z)) != divide(Y,divide(inverse(X),Z))
| divide(X,divide(Y,divide(divide(divide(X,X),X),Z))) = divide(X,divide(Y,divide(inverse(X),Z))) ),
inference(resolve,[$cnf( $equal(divide(X,divide(Y,divide(divide(divide(X,X),X),Z))),divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
divide(X,divide(Y,divide(divide(divide(X,X),X),Z))) = divide(X,divide(Y,divide(inverse(X),Z))),
inference(resolve,[$cnf( $equal(divide(Y,divide(divide(divide(X,X),X),Z)),divide(Y,divide(inverse(X),Z))) )],[refute_0_51,refute_0_54]) ).
cnf(refute_0_56,plain,
inverse(divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))) = inverse(divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),
introduced(tautology,[refl,[$fot(inverse(divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))))]]) ).
cnf(refute_0_57,plain,
( divide(X,divide(Y,divide(divide(divide(X,X),X),Z))) != divide(X,divide(Y,divide(inverse(X),Z)))
| inverse(divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))) != inverse(divide(X,divide(Y,divide(divide(divide(X,X),X),Z))))
| inverse(divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))) = inverse(divide(X,divide(Y,divide(inverse(X),Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),inverse(divide(X,divide(Y,divide(divide(divide(X,X),X),Z))))) ),[1,0],$fot(divide(X,divide(Y,divide(inverse(X),Z))))]]) ).
cnf(refute_0_58,plain,
( divide(X,divide(Y,divide(divide(divide(X,X),X),Z))) != divide(X,divide(Y,divide(inverse(X),Z)))
| inverse(divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))) = inverse(divide(X,divide(Y,divide(inverse(X),Z)))) ),
inference(resolve,[$cnf( $equal(inverse(divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),inverse(divide(X,divide(Y,divide(divide(divide(X,X),X),Z))))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
inverse(divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))) = inverse(divide(X,divide(Y,divide(inverse(X),Z)))),
inference(resolve,[$cnf( $equal(divide(X,divide(Y,divide(divide(divide(X,X),X),Z))),divide(X,divide(Y,divide(inverse(X),Z)))) )],[refute_0_55,refute_0_58]) ).
cnf(refute_0_60,plain,
divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))) = inverse(divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),
inference(subst,[],[refute_0_5:[bind(X,$fot(divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))))]]) ).
cnf(refute_0_61,plain,
( divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))) != inverse(divide(X,divide(Y,divide(divide(divide(X,X),X),Z))))
| inverse(divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))) != inverse(divide(X,divide(Y,divide(inverse(X),Z))))
| divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))) = inverse(divide(X,divide(Y,divide(inverse(X),Z)))) ),
inference(subst,[],[refute_0_40:[bind(X0,$fot(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))))),bind(Y0,$fot(inverse(divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))))),bind(Z0,$fot(inverse(divide(X,divide(Y,divide(inverse(X),Z))))))]]) ).
cnf(refute_0_62,plain,
( inverse(divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))) != inverse(divide(X,divide(Y,divide(inverse(X),Z))))
| divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))) = inverse(divide(X,divide(Y,divide(inverse(X),Z)))) ),
inference(resolve,[$cnf( $equal(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),inverse(divide(X,divide(Y,divide(divide(divide(X,X),X),Z))))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))) = inverse(divide(X,divide(Y,divide(inverse(X),Z)))),
inference(resolve,[$cnf( $equal(inverse(divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),inverse(divide(X,divide(Y,divide(inverse(X),Z))))) )],[refute_0_59,refute_0_62]) ).
cnf(refute_0_64,plain,
divide(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z) = divide(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z),
introduced(tautology,[refl,[$fot(divide(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z))]]) ).
cnf(refute_0_65,plain,
( divide(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z) != divide(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z)
| divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))) != inverse(divide(X,divide(Y,divide(inverse(X),Z))))
| divide(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z) = divide(inverse(divide(X,divide(Y,divide(inverse(X),Z)))),Z) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z),divide(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z)) ),[1,0],$fot(inverse(divide(X,divide(Y,divide(inverse(X),Z)))))]]) ).
cnf(refute_0_66,plain,
( divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))) != inverse(divide(X,divide(Y,divide(inverse(X),Z))))
| divide(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z) = divide(inverse(divide(X,divide(Y,divide(inverse(X),Z)))),Z) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z),divide(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
divide(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z) = divide(inverse(divide(X,divide(Y,divide(inverse(X),Z)))),Z),
inference(resolve,[$cnf( $equal(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),inverse(divide(X,divide(Y,divide(inverse(X),Z))))) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
( divide(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z) != Y
| divide(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z) != divide(inverse(divide(X,divide(Y,divide(inverse(X),Z)))),Z)
| divide(inverse(divide(X,divide(Y,divide(inverse(X),Z)))),Z) = Y ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z),Y) ),[0],$fot(divide(inverse(divide(X,divide(Y,divide(inverse(X),Z)))),Z))]]) ).
cnf(refute_0_69,plain,
( divide(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z) != Y
| divide(inverse(divide(X,divide(Y,divide(inverse(X),Z)))),Z) = Y ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z),divide(inverse(divide(X,divide(Y,divide(inverse(X),Z)))),Z)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
divide(inverse(divide(X,divide(Y,divide(inverse(X),Z)))),Z) = Y,
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z),Y) )],[single_axiom,refute_0_69]) ).
cnf(refute_0_71,plain,
divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(X_7))))),inverse(X_7)) = X_8,
inference(subst,[],[refute_0_70:[bind(X,$fot(X_7)),bind(Y,$fot(X_8)),bind(Z,$fot(inverse(X_7)))]]) ).
cnf(refute_0_72,plain,
identity = divide(inverse(X_7),inverse(X_7)),
inference(subst,[],[identity:[bind(X,$fot(inverse(X_7)))]]) ).
cnf(refute_0_73,plain,
( identity != divide(inverse(X_7),inverse(X_7))
| divide(inverse(X_7),inverse(X_7)) = identity ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(inverse(X_7),inverse(X_7))))]]) ).
cnf(refute_0_74,plain,
divide(inverse(X_7),inverse(X_7)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(inverse(X_7),inverse(X_7))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
( divide(inverse(X_7),inverse(X_7)) != identity
| divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(X_7))))),inverse(X_7)) != X_8
| divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = X_8 ),
introduced(tautology,[equality,[$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_76,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( $equal(divide(inverse(X_7),inverse(X_7)),identity) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(X_7))))),inverse(X_7)),X_8) )],[refute_0_71,refute_0_76]) ).
cnf(refute_0_78,plain,
multiply(X_2,identity) = divide(X_2,inverse(identity)),
inference(subst,[],[refute_0_13:[bind(X,$fot(X_2)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_79,plain,
identity = divide(identity,identity),
inference(subst,[],[identity:[bind(X,$fot(identity))]]) ).
cnf(refute_0_80,plain,
inverse(identity) = divide(identity,identity),
inference(subst,[],[inverse:[bind(X,$fot(identity))]]) ).
cnf(refute_0_81,plain,
( inverse(identity) != divide(identity,identity)
| divide(identity,identity) = inverse(identity) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(identity))),bind(Y0,$fot(divide(identity,identity)))]]) ).
cnf(refute_0_82,plain,
divide(identity,identity) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),divide(identity,identity)) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
( divide(identity,identity) != inverse(identity)
| identity != divide(identity,identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(identity,divide(identity,identity)) ),[1],$fot(inverse(identity))]]) ).
cnf(refute_0_84,plain,
( identity != divide(identity,identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(divide(identity,identity),inverse(identity)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(identity,divide(identity,identity)) )],[refute_0_79,refute_0_84]) ).
cnf(refute_0_86,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(identity)),bind(Y0,$fot(inverse(identity)))]]) ).
cnf(refute_0_87,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| inverse(identity) != identity
| multiply(X_2,identity) = divide(X_2,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_89,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| multiply(X_2,identity) = divide(X_2,identity) ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
multiply(X_2,identity) = divide(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) )],[refute_0_78,refute_0_89]) ).
cnf(refute_0_91,plain,
( multiply(X_2,identity) != divide(X_2,identity)
| divide(X_2,identity) = multiply(X_2,identity) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_2,identity))),bind(Y0,$fot(divide(X_2,identity)))]]) ).
cnf(refute_0_92,plain,
divide(X_2,identity) = multiply(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,identity)) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
divide(X_8,identity) = multiply(X_8,identity),
inference(subst,[],[refute_0_92:[bind(X_2,$fot(X_8))]]) ).
cnf(refute_0_94,plain,
divide(X_7,divide(X_8,identity)) = divide(X_7,divide(X_8,identity)),
introduced(tautology,[refl,[$fot(divide(X_7,divide(X_8,identity)))]]) ).
cnf(refute_0_95,plain,
( divide(X_7,divide(X_8,identity)) != divide(X_7,divide(X_8,identity))
| divide(X_8,identity) != multiply(X_8,identity)
| divide(X_7,divide(X_8,identity)) = divide(X_7,multiply(X_8,identity)) ),
introduced(tautology,[equality,[$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_96,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( $equal(divide(X_7,divide(X_8,identity)),divide(X_7,divide(X_8,identity))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
divide(X_7,divide(X_8,identity)) = divide(X_7,multiply(X_8,identity)),
inference(resolve,[$cnf( $equal(divide(X_8,identity),multiply(X_8,identity)) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
inverse(divide(X_7,divide(X_8,identity))) = inverse(divide(X_7,divide(X_8,identity))),
introduced(tautology,[refl,[$fot(inverse(divide(X_7,divide(X_8,identity))))]]) ).
cnf(refute_0_99,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_100,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( $equal(inverse(divide(X_7,divide(X_8,identity))),inverse(divide(X_7,divide(X_8,identity)))) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
inverse(divide(X_7,divide(X_8,identity))) = inverse(divide(X_7,multiply(X_8,identity))),
inference(resolve,[$cnf( $equal(divide(X_7,divide(X_8,identity)),divide(X_7,multiply(X_8,identity))) )],[refute_0_97,refute_0_100]) ).
cnf(refute_0_102,plain,
multiply(inverse(divide(X_7,divide(X_8,identity))),X_7) = multiply(inverse(divide(X_7,divide(X_8,identity))),X_7),
introduced(tautology,[refl,[$fot(multiply(inverse(divide(X_7,divide(X_8,identity))),X_7))]]) ).
cnf(refute_0_103,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_104,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( $equal(multiply(inverse(divide(X_7,divide(X_8,identity))),X_7),multiply(inverse(divide(X_7,divide(X_8,identity))),X_7)) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
multiply(inverse(divide(X_7,divide(X_8,identity))),X_7) = multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,divide(X_8,identity))),inverse(divide(X_7,multiply(X_8,identity)))) )],[refute_0_101,refute_0_104]) ).
cnf(refute_0_106,plain,
( multiply(X,Y) != divide(X,inverse(Y))
| divide(X,inverse(Y)) = multiply(X,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(divide(X,inverse(Y))))]]) ).
cnf(refute_0_107,plain,
divide(X,inverse(Y)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,inverse(Y))) )],[refute_0_13,refute_0_106]) ).
cnf(refute_0_108,plain,
divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = multiply(inverse(divide(X_7,divide(X_8,identity))),X_7),
inference(subst,[],[refute_0_107:[bind(X,$fot(inverse(divide(X_7,divide(X_8,identity))))),bind(Y,$fot(X_7))]]) ).
cnf(refute_0_109,plain,
( multiply(inverse(divide(X_7,divide(X_8,identity))),X_7) != multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)
| divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) != multiply(inverse(divide(X_7,divide(X_8,identity))),X_7)
| divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) ),
inference(subst,[],[refute_0_40:[bind(X0,$fot(divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)))),bind(Y0,$fot(multiply(inverse(divide(X_7,divide(X_8,identity))),X_7))),bind(Z0,$fot(multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)))]]) ).
cnf(refute_0_110,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( $equal(divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)),multiply(inverse(divide(X_7,divide(X_8,identity))),X_7)) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,identity))),X_7),multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)) )],[refute_0_105,refute_0_110]) ).
cnf(refute_0_112,plain,
( divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) != X_8
| divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) != multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)
| multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) = X_8 ),
introduced(tautology,[equality,[$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_113,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( $equal(divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)),multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)),X_8) )],[refute_0_77,refute_0_113]) ).
cnf(refute_0_115,plain,
multiply(inverse(divide(X_12,multiply(inverse(divide(identity,multiply(X_8,identity))),identity))),X_12) = inverse(divide(identity,multiply(X_8,identity))),
inference(subst,[],[refute_0_114:[bind(X_7,$fot(X_12)),bind(X_8,$fot(inverse(divide(identity,multiply(X_8,identity)))))]]) ).
cnf(refute_0_116,plain,
multiply(inverse(divide(identity,multiply(X_8,identity))),identity) = X_8,
inference(subst,[],[refute_0_114:[bind(X_7,$fot(identity))]]) ).
cnf(refute_0_117,plain,
( multiply(inverse(divide(X_12,multiply(inverse(divide(identity,multiply(X_8,identity))),identity))),X_12) != inverse(divide(identity,multiply(X_8,identity)))
| multiply(inverse(divide(identity,multiply(X_8,identity))),identity) != X_8
| multiply(inverse(divide(X_12,X_8)),X_12) = inverse(divide(identity,multiply(X_8,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_12,multiply(inverse(divide(identity,multiply(X_8,identity))),identity))),X_12),inverse(divide(identity,multiply(X_8,identity)))) ),[0,0,0,1],$fot(X_8)]]) ).
cnf(refute_0_118,plain,
( multiply(inverse(divide(X_12,multiply(inverse(divide(identity,multiply(X_8,identity))),identity))),X_12) != inverse(divide(identity,multiply(X_8,identity)))
| multiply(inverse(divide(X_12,X_8)),X_12) = inverse(divide(identity,multiply(X_8,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(identity,multiply(X_8,identity))),identity),X_8) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
multiply(inverse(divide(X_12,X_8)),X_12) = inverse(divide(identity,multiply(X_8,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_12,multiply(inverse(divide(identity,multiply(X_8,identity))),identity))),X_12),inverse(divide(identity,multiply(X_8,identity)))) )],[refute_0_115,refute_0_118]) ).
cnf(refute_0_120,plain,
multiply(inverse(divide(X_7,multiply(inverse(divide(identity,multiply(X_13,identity))),identity))),X_7) = inverse(divide(identity,multiply(X_13,identity))),
inference(subst,[],[refute_0_114:[bind(X_8,$fot(inverse(divide(identity,multiply(X_13,identity)))))]]) ).
cnf(refute_0_121,plain,
multiply(inverse(divide(identity,multiply(X_13,identity))),identity) = X_13,
inference(subst,[],[refute_0_114:[bind(X_7,$fot(identity)),bind(X_8,$fot(X_13))]]) ).
cnf(refute_0_122,plain,
( multiply(inverse(divide(X_7,multiply(inverse(divide(identity,multiply(X_13,identity))),identity))),X_7) != inverse(divide(identity,multiply(X_13,identity)))
| multiply(inverse(divide(identity,multiply(X_13,identity))),identity) != X_13
| multiply(inverse(divide(X_7,X_13)),X_7) = inverse(divide(identity,multiply(X_13,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,multiply(inverse(divide(identity,multiply(X_13,identity))),identity))),X_7),inverse(divide(identity,multiply(X_13,identity)))) ),[0,0,0,1],$fot(X_13)]]) ).
cnf(refute_0_123,plain,
( multiply(inverse(divide(X_7,multiply(inverse(divide(identity,multiply(X_13,identity))),identity))),X_7) != inverse(divide(identity,multiply(X_13,identity)))
| multiply(inverse(divide(X_7,X_13)),X_7) = inverse(divide(identity,multiply(X_13,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(identity,multiply(X_13,identity))),identity),X_13) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
multiply(inverse(divide(X_7,X_13)),X_7) = inverse(divide(identity,multiply(X_13,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,multiply(inverse(divide(identity,multiply(X_13,identity))),identity))),X_7),inverse(divide(identity,multiply(X_13,identity)))) )],[refute_0_120,refute_0_123]) ).
cnf(refute_0_125,plain,
divide(identity,multiply(X_13,identity)) = inverse(multiply(X_13,identity)),
inference(subst,[],[refute_0_5:[bind(X,$fot(multiply(X_13,identity)))]]) ).
cnf(refute_0_126,plain,
inverse(divide(identity,multiply(X_13,identity))) = inverse(divide(identity,multiply(X_13,identity))),
introduced(tautology,[refl,[$fot(inverse(divide(identity,multiply(X_13,identity))))]]) ).
cnf(refute_0_127,plain,
( divide(identity,multiply(X_13,identity)) != inverse(multiply(X_13,identity))
| inverse(divide(identity,multiply(X_13,identity))) != inverse(divide(identity,multiply(X_13,identity)))
| inverse(divide(identity,multiply(X_13,identity))) = inverse(inverse(multiply(X_13,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(identity,multiply(X_13,identity))),inverse(divide(identity,multiply(X_13,identity)))) ),[1,0],$fot(inverse(multiply(X_13,identity)))]]) ).
cnf(refute_0_128,plain,
( divide(identity,multiply(X_13,identity)) != inverse(multiply(X_13,identity))
| inverse(divide(identity,multiply(X_13,identity))) = inverse(inverse(multiply(X_13,identity))) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,multiply(X_13,identity))),inverse(divide(identity,multiply(X_13,identity)))) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
inverse(divide(identity,multiply(X_13,identity))) = inverse(inverse(multiply(X_13,identity))),
inference(resolve,[$cnf( $equal(divide(identity,multiply(X_13,identity)),inverse(multiply(X_13,identity))) )],[refute_0_125,refute_0_128]) ).
cnf(refute_0_130,plain,
( multiply(inverse(divide(X_7,X_13)),X_7) != inverse(divide(identity,multiply(X_13,identity)))
| inverse(divide(identity,multiply(X_13,identity))) != inverse(inverse(multiply(X_13,identity)))
| multiply(inverse(divide(X_7,X_13)),X_7) = inverse(inverse(multiply(X_13,identity))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(divide(X_7,X_13)),X_7),inverse(inverse(multiply(X_13,identity)))) ),[0],$fot(inverse(divide(identity,multiply(X_13,identity))))]]) ).
cnf(refute_0_131,plain,
( multiply(inverse(divide(X_7,X_13)),X_7) != inverse(divide(identity,multiply(X_13,identity)))
| multiply(inverse(divide(X_7,X_13)),X_7) = inverse(inverse(multiply(X_13,identity))) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,multiply(X_13,identity))),inverse(inverse(multiply(X_13,identity)))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
multiply(inverse(divide(X_7,X_13)),X_7) = inverse(inverse(multiply(X_13,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,X_13)),X_7),inverse(divide(identity,multiply(X_13,identity)))) )],[refute_0_124,refute_0_131]) ).
cnf(refute_0_133,plain,
multiply(inverse(divide(X_12,X_8)),X_12) = inverse(inverse(multiply(X_8,identity))),
inference(subst,[],[refute_0_132:[bind(X_13,$fot(X_8)),bind(X_7,$fot(X_12))]]) ).
cnf(refute_0_134,plain,
( multiply(inverse(divide(X_12,X_8)),X_12) != inverse(divide(identity,multiply(X_8,identity)))
| multiply(inverse(divide(X_12,X_8)),X_12) != inverse(inverse(multiply(X_8,identity)))
| inverse(inverse(multiply(X_8,identity))) = inverse(divide(identity,multiply(X_8,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_12,X_8)),X_12),inverse(divide(identity,multiply(X_8,identity)))) ),[0],$fot(inverse(inverse(multiply(X_8,identity))))]]) ).
cnf(refute_0_135,plain,
( multiply(inverse(divide(X_12,X_8)),X_12) != inverse(divide(identity,multiply(X_8,identity)))
| inverse(inverse(multiply(X_8,identity))) = inverse(divide(identity,multiply(X_8,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_12,X_8)),X_12),inverse(inverse(multiply(X_8,identity)))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
divide(inverse(inverse(X_8)),identity) = multiply(inverse(inverse(X_8)),identity),
inference(subst,[],[refute_0_92:[bind(X_2,$fot(inverse(inverse(X_8))))]]) ).
cnf(refute_0_137,plain,
divide(inverse(divide(identity,divide(X_8,divide(inverse(identity),X_9)))),X_9) = X_8,
inference(subst,[],[refute_0_70:[bind(X,$fot(identity)),bind(Y,$fot(X_8)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_138,plain,
( divide(inverse(divide(identity,divide(X_8,divide(inverse(identity),X_9)))),X_9) != X_8
| inverse(identity) != identity
| divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = X_8 ),
introduced(tautology,[equality,[$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_139,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( $equal(inverse(identity),identity) )],[refute_0_87,refute_0_138]) ).
cnf(refute_0_140,plain,
divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,divide(X_8,divide(inverse(identity),X_9)))),X_9),X_8) )],[refute_0_137,refute_0_139]) ).
cnf(refute_0_141,plain,
divide(X_8,inverse(X_9)) = multiply(X_8,X_9),
inference(subst,[],[refute_0_107:[bind(X,$fot(X_8)),bind(Y,$fot(X_9))]]) ).
cnf(refute_0_142,plain,
divide(identity,X_9) = inverse(X_9),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_9))]]) ).
cnf(refute_0_143,plain,
divide(X_8,divide(identity,X_9)) = divide(X_8,divide(identity,X_9)),
introduced(tautology,[refl,[$fot(divide(X_8,divide(identity,X_9)))]]) ).
cnf(refute_0_144,plain,
( divide(X_8,divide(identity,X_9)) != divide(X_8,divide(identity,X_9))
| divide(identity,X_9) != inverse(X_9)
| divide(X_8,divide(identity,X_9)) = divide(X_8,inverse(X_9)) ),
introduced(tautology,[equality,[$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_145,plain,
( divide(identity,X_9) != inverse(X_9)
| divide(X_8,divide(identity,X_9)) = divide(X_8,inverse(X_9)) ),
inference(resolve,[$cnf( $equal(divide(X_8,divide(identity,X_9)),divide(X_8,divide(identity,X_9))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
divide(X_8,divide(identity,X_9)) = divide(X_8,inverse(X_9)),
inference(resolve,[$cnf( $equal(divide(identity,X_9),inverse(X_9)) )],[refute_0_142,refute_0_145]) ).
cnf(refute_0_147,plain,
( divide(X_8,divide(identity,X_9)) != divide(X_8,inverse(X_9))
| divide(X_8,inverse(X_9)) != multiply(X_8,X_9)
| divide(X_8,divide(identity,X_9)) = multiply(X_8,X_9) ),
inference(subst,[],[refute_0_40:[bind(X0,$fot(divide(X_8,divide(identity,X_9)))),bind(Y0,$fot(divide(X_8,inverse(X_9)))),bind(Z0,$fot(multiply(X_8,X_9)))]]) ).
cnf(refute_0_148,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( $equal(divide(X_8,divide(identity,X_9)),divide(X_8,inverse(X_9))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
divide(X_8,divide(identity,X_9)) = multiply(X_8,X_9),
inference(resolve,[$cnf( $equal(divide(X_8,inverse(X_9)),multiply(X_8,X_9)) )],[refute_0_141,refute_0_148]) ).
cnf(refute_0_150,plain,
inverse(divide(X_8,divide(identity,X_9))) = inverse(divide(X_8,divide(identity,X_9))),
introduced(tautology,[refl,[$fot(inverse(divide(X_8,divide(identity,X_9))))]]) ).
cnf(refute_0_151,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_152,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( $equal(inverse(divide(X_8,divide(identity,X_9))),inverse(divide(X_8,divide(identity,X_9)))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
inverse(divide(X_8,divide(identity,X_9))) = inverse(multiply(X_8,X_9)),
inference(resolve,[$cnf( $equal(divide(X_8,divide(identity,X_9)),multiply(X_8,X_9)) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
divide(identity,divide(X_8,divide(identity,X_9))) = inverse(divide(X_8,divide(identity,X_9))),
inference(subst,[],[refute_0_5:[bind(X,$fot(divide(X_8,divide(identity,X_9))))]]) ).
cnf(refute_0_155,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_40:[bind(X0,$fot(divide(identity,divide(X_8,divide(identity,X_9))))),bind(Y0,$fot(inverse(divide(X_8,divide(identity,X_9))))),bind(Z0,$fot(inverse(multiply(X_8,X_9))))]]) ).
cnf(refute_0_156,plain,
( inverse(divide(X_8,divide(identity,X_9))) != inverse(multiply(X_8,X_9))
| divide(identity,divide(X_8,divide(identity,X_9))) = inverse(multiply(X_8,X_9)) ),
inference(resolve,[$cnf( $equal(divide(identity,divide(X_8,divide(identity,X_9))),inverse(divide(X_8,divide(identity,X_9)))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
divide(identity,divide(X_8,divide(identity,X_9))) = inverse(multiply(X_8,X_9)),
inference(resolve,[$cnf( $equal(inverse(divide(X_8,divide(identity,X_9))),inverse(multiply(X_8,X_9))) )],[refute_0_153,refute_0_156]) ).
cnf(refute_0_158,plain,
inverse(divide(identity,divide(X_8,divide(identity,X_9)))) = inverse(divide(identity,divide(X_8,divide(identity,X_9)))),
introduced(tautology,[refl,[$fot(inverse(divide(identity,divide(X_8,divide(identity,X_9)))))]]) ).
cnf(refute_0_159,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_160,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( $equal(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),inverse(divide(identity,divide(X_8,divide(identity,X_9))))) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
inverse(divide(identity,divide(X_8,divide(identity,X_9)))) = inverse(inverse(multiply(X_8,X_9))),
inference(resolve,[$cnf( $equal(divide(identity,divide(X_8,divide(identity,X_9))),inverse(multiply(X_8,X_9))) )],[refute_0_157,refute_0_160]) ).
cnf(refute_0_162,plain,
divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9),
introduced(tautology,[refl,[$fot(divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9))]]) ).
cnf(refute_0_163,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_164,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( $equal(divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9),divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9)) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = divide(inverse(inverse(multiply(X_8,X_9))),X_9),
inference(resolve,[$cnf( $equal(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),inverse(inverse(multiply(X_8,X_9)))) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
( divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) != X_8
| divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) != divide(inverse(inverse(multiply(X_8,X_9))),X_9)
| divide(inverse(inverse(multiply(X_8,X_9))),X_9) = X_8 ),
introduced(tautology,[equality,[$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_167,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( $equal(divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9),divide(inverse(inverse(multiply(X_8,X_9))),X_9)) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
divide(inverse(inverse(multiply(X_8,X_9))),X_9) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9),X_8) )],[refute_0_140,refute_0_167]) ).
cnf(refute_0_169,plain,
divide(inverse(inverse(multiply(inverse(divide(X_9,multiply(X_13,identity))),X_9))),X_9) = inverse(divide(X_9,multiply(X_13,identity))),
inference(subst,[],[refute_0_168:[bind(X_8,$fot(inverse(divide(X_9,multiply(X_13,identity)))))]]) ).
cnf(refute_0_170,plain,
multiply(inverse(divide(X_9,multiply(X_13,identity))),X_9) = X_13,
inference(subst,[],[refute_0_114:[bind(X_7,$fot(X_9)),bind(X_8,$fot(X_13))]]) ).
cnf(refute_0_171,plain,
( multiply(inverse(divide(X_9,multiply(X_13,identity))),X_9) != X_13
| divide(inverse(inverse(multiply(inverse(divide(X_9,multiply(X_13,identity))),X_9))),X_9) != inverse(divide(X_9,multiply(X_13,identity)))
| divide(inverse(inverse(X_13)),X_9) = inverse(divide(X_9,multiply(X_13,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(multiply(inverse(divide(X_9,multiply(X_13,identity))),X_9))),X_9),inverse(divide(X_9,multiply(X_13,identity)))) ),[0,0,0,0],$fot(X_13)]]) ).
cnf(refute_0_172,plain,
( divide(inverse(inverse(multiply(inverse(divide(X_9,multiply(X_13,identity))),X_9))),X_9) != inverse(divide(X_9,multiply(X_13,identity)))
| divide(inverse(inverse(X_13)),X_9) = inverse(divide(X_9,multiply(X_13,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_9,multiply(X_13,identity))),X_9),X_13) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
divide(inverse(inverse(X_13)),X_9) = inverse(divide(X_9,multiply(X_13,identity))),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(inverse(divide(X_9,multiply(X_13,identity))),X_9))),X_9),inverse(divide(X_9,multiply(X_13,identity)))) )],[refute_0_169,refute_0_172]) ).
cnf(refute_0_174,plain,
( divide(inverse(inverse(X_13)),X_9) != inverse(divide(X_9,multiply(X_13,identity)))
| inverse(divide(X_9,multiply(X_13,identity))) = divide(inverse(inverse(X_13)),X_9) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(divide(inverse(inverse(X_13)),X_9))),bind(Y0,$fot(inverse(divide(X_9,multiply(X_13,identity)))))]]) ).
cnf(refute_0_175,plain,
inverse(divide(X_9,multiply(X_13,identity))) = divide(inverse(inverse(X_13)),X_9),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_13)),X_9),inverse(divide(X_9,multiply(X_13,identity)))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
inverse(divide(identity,multiply(X_8,identity))) = divide(inverse(inverse(X_8)),identity),
inference(subst,[],[refute_0_175:[bind(X_13,$fot(X_8)),bind(X_9,$fot(identity))]]) ).
cnf(refute_0_177,plain,
( divide(inverse(inverse(X_8)),identity) != multiply(inverse(inverse(X_8)),identity)
| inverse(divide(identity,multiply(X_8,identity))) != divide(inverse(inverse(X_8)),identity)
| inverse(divide(identity,multiply(X_8,identity))) = multiply(inverse(inverse(X_8)),identity) ),
inference(subst,[],[refute_0_40:[bind(X0,$fot(inverse(divide(identity,multiply(X_8,identity))))),bind(Y0,$fot(divide(inverse(inverse(X_8)),identity))),bind(Z0,$fot(multiply(inverse(inverse(X_8)),identity)))]]) ).
cnf(refute_0_178,plain,
( divide(inverse(inverse(X_8)),identity) != multiply(inverse(inverse(X_8)),identity)
| inverse(divide(identity,multiply(X_8,identity))) = multiply(inverse(inverse(X_8)),identity) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,multiply(X_8,identity))),divide(inverse(inverse(X_8)),identity)) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
inverse(divide(identity,multiply(X_8,identity))) = multiply(inverse(inverse(X_8)),identity),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_8)),identity),multiply(inverse(inverse(X_8)),identity)) )],[refute_0_136,refute_0_178]) ).
cnf(refute_0_180,plain,
( inverse(divide(identity,multiply(X_8,identity))) != multiply(inverse(inverse(X_8)),identity)
| inverse(inverse(multiply(X_8,identity))) != inverse(divide(identity,multiply(X_8,identity)))
| inverse(inverse(multiply(X_8,identity))) = multiply(inverse(inverse(X_8)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_8,identity))),inverse(divide(identity,multiply(X_8,identity)))) ),[1],$fot(multiply(inverse(inverse(X_8)),identity))]]) ).
cnf(refute_0_181,plain,
( inverse(inverse(multiply(X_8,identity))) != inverse(divide(identity,multiply(X_8,identity)))
| inverse(inverse(multiply(X_8,identity))) = multiply(inverse(inverse(X_8)),identity) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,multiply(X_8,identity))),multiply(inverse(inverse(X_8)),identity)) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
( multiply(inverse(divide(X_12,X_8)),X_12) != inverse(divide(identity,multiply(X_8,identity)))
| inverse(inverse(multiply(X_8,identity))) = multiply(inverse(inverse(X_8)),identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_8,identity))),inverse(divide(identity,multiply(X_8,identity)))) )],[refute_0_135,refute_0_181]) ).
cnf(refute_0_183,plain,
inverse(inverse(multiply(X_8,identity))) = multiply(inverse(inverse(X_8)),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_12,X_8)),X_12),inverse(divide(identity,multiply(X_8,identity)))) )],[refute_0_119,refute_0_182]) ).
cnf(refute_0_184,plain,
multiply(inverse(divide(multiply(X_13,identity),multiply(X_13,identity))),multiply(X_13,identity)) = X_13,
inference(subst,[],[refute_0_114:[bind(X_7,$fot(multiply(X_13,identity))),bind(X_8,$fot(X_13))]]) ).
cnf(refute_0_185,plain,
identity = divide(multiply(X_13,identity),multiply(X_13,identity)),
inference(subst,[],[identity:[bind(X,$fot(multiply(X_13,identity)))]]) ).
cnf(refute_0_186,plain,
( identity != divide(multiply(X_13,identity),multiply(X_13,identity))
| divide(multiply(X_13,identity),multiply(X_13,identity)) = identity ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(multiply(X_13,identity),multiply(X_13,identity))))]]) ).
cnf(refute_0_187,plain,
divide(multiply(X_13,identity),multiply(X_13,identity)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(multiply(X_13,identity),multiply(X_13,identity))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
( multiply(inverse(divide(multiply(X_13,identity),multiply(X_13,identity))),multiply(X_13,identity)) != X_13
| divide(multiply(X_13,identity),multiply(X_13,identity)) != identity
| multiply(inverse(identity),multiply(X_13,identity)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(multiply(X_13,identity),multiply(X_13,identity))),multiply(X_13,identity)),X_13) ),[0,0,0],$fot(identity)]]) ).
cnf(refute_0_189,plain,
( multiply(inverse(divide(multiply(X_13,identity),multiply(X_13,identity))),multiply(X_13,identity)) != X_13
| multiply(inverse(identity),multiply(X_13,identity)) = X_13 ),
inference(resolve,[$cnf( $equal(divide(multiply(X_13,identity),multiply(X_13,identity)),identity) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
multiply(inverse(identity),multiply(X_13,identity)) = X_13,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(multiply(X_13,identity),multiply(X_13,identity))),multiply(X_13,identity)),X_13) )],[refute_0_184,refute_0_189]) ).
cnf(refute_0_191,plain,
( inverse(inverse(X_3)) != multiply(identity,X_3)
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(inverse(X_3)))),bind(Y0,$fot(multiply(identity,X_3)))]]) ).
cnf(refute_0_192,plain,
multiply(identity,X_3) = inverse(inverse(X_3)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),multiply(identity,X_3)) )],[refute_0_32,refute_0_191]) ).
cnf(refute_0_193,plain,
multiply(identity,multiply(X_13,identity)) = inverse(inverse(multiply(X_13,identity))),
inference(subst,[],[refute_0_192:[bind(X_3,$fot(multiply(X_13,identity)))]]) ).
cnf(refute_0_194,plain,
multiply(inverse(identity),multiply(X_13,identity)) = multiply(inverse(identity),multiply(X_13,identity)),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),multiply(X_13,identity)))]]) ).
cnf(refute_0_195,plain,
( multiply(inverse(identity),multiply(X_13,identity)) != multiply(inverse(identity),multiply(X_13,identity))
| inverse(identity) != identity
| multiply(inverse(identity),multiply(X_13,identity)) = multiply(identity,multiply(X_13,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),multiply(X_13,identity)),multiply(inverse(identity),multiply(X_13,identity))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_196,plain,
( inverse(identity) != identity
| multiply(inverse(identity),multiply(X_13,identity)) = multiply(identity,multiply(X_13,identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),multiply(X_13,identity)),multiply(inverse(identity),multiply(X_13,identity))) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
multiply(inverse(identity),multiply(X_13,identity)) = multiply(identity,multiply(X_13,identity)),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_87,refute_0_196]) ).
cnf(refute_0_198,plain,
( multiply(identity,multiply(X_13,identity)) != inverse(inverse(multiply(X_13,identity)))
| multiply(inverse(identity),multiply(X_13,identity)) != multiply(identity,multiply(X_13,identity))
| multiply(inverse(identity),multiply(X_13,identity)) = inverse(inverse(multiply(X_13,identity))) ),
inference(subst,[],[refute_0_40:[bind(X0,$fot(multiply(inverse(identity),multiply(X_13,identity)))),bind(Y0,$fot(multiply(identity,multiply(X_13,identity)))),bind(Z0,$fot(inverse(inverse(multiply(X_13,identity)))))]]) ).
cnf(refute_0_199,plain,
( multiply(identity,multiply(X_13,identity)) != inverse(inverse(multiply(X_13,identity)))
| multiply(inverse(identity),multiply(X_13,identity)) = inverse(inverse(multiply(X_13,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),multiply(X_13,identity)),multiply(identity,multiply(X_13,identity))) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
multiply(inverse(identity),multiply(X_13,identity)) = inverse(inverse(multiply(X_13,identity))),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(X_13,identity)),inverse(inverse(multiply(X_13,identity)))) )],[refute_0_193,refute_0_199]) ).
cnf(refute_0_201,plain,
( multiply(inverse(identity),multiply(X_13,identity)) != X_13
| multiply(inverse(identity),multiply(X_13,identity)) != inverse(inverse(multiply(X_13,identity)))
| inverse(inverse(multiply(X_13,identity))) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),multiply(X_13,identity)),X_13) ),[0],$fot(inverse(inverse(multiply(X_13,identity))))]]) ).
cnf(refute_0_202,plain,
( multiply(inverse(identity),multiply(X_13,identity)) != X_13
| inverse(inverse(multiply(X_13,identity))) = X_13 ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),multiply(X_13,identity)),inverse(inverse(multiply(X_13,identity)))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
inverse(inverse(multiply(X_13,identity))) = X_13,
inference(resolve,[$cnf( $equal(multiply(inverse(identity),multiply(X_13,identity)),X_13) )],[refute_0_190,refute_0_202]) ).
cnf(refute_0_204,plain,
inverse(inverse(multiply(X_8,identity))) = X_8,
inference(subst,[],[refute_0_203:[bind(X_13,$fot(X_8))]]) ).
cnf(refute_0_205,plain,
( inverse(inverse(multiply(X_8,identity))) != X_8
| inverse(inverse(multiply(X_8,identity))) != multiply(inverse(inverse(X_8)),identity)
| X_8 = multiply(inverse(inverse(X_8)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_8,identity))),multiply(inverse(inverse(X_8)),identity)) ),[0],$fot(X_8)]]) ).
cnf(refute_0_206,plain,
( inverse(inverse(multiply(X_8,identity))) != multiply(inverse(inverse(X_8)),identity)
| X_8 = multiply(inverse(inverse(X_8)),identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_8,identity))),X_8) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
( multiply(inverse(divide(X_7,X_13)),X_7) != inverse(inverse(multiply(X_13,identity)))
| inverse(inverse(multiply(X_13,identity))) != X_13
| multiply(inverse(divide(X_7,X_13)),X_7) = X_13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(divide(X_7,X_13)),X_7),X_13) ),[0],$fot(inverse(inverse(multiply(X_13,identity))))]]) ).
cnf(refute_0_208,plain,
( multiply(inverse(divide(X_7,X_13)),X_7) != inverse(inverse(multiply(X_13,identity)))
| multiply(inverse(divide(X_7,X_13)),X_7) = X_13 ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_13,identity))),X_13) )],[refute_0_203,refute_0_207]) ).
cnf(refute_0_209,plain,
multiply(inverse(divide(X_7,X_13)),X_7) = X_13,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,X_13)),X_7),inverse(inverse(multiply(X_13,identity)))) )],[refute_0_132,refute_0_208]) ).
cnf(refute_0_210,plain,
multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) = multiply(X_8,identity),
inference(subst,[],[refute_0_209:[bind(X_13,$fot(multiply(X_8,identity)))]]) ).
cnf(refute_0_211,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_212,plain,
( multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) != X_8
| multiply(X_8,identity) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7),multiply(X_8,identity)) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
multiply(X_8,identity) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7),X_8) )],[refute_0_114,refute_0_212]) ).
cnf(refute_0_214,plain,
multiply(inverse(inverse(X_8)),identity) = inverse(inverse(X_8)),
inference(subst,[],[refute_0_213:[bind(X_8,$fot(inverse(inverse(X_8))))]]) ).
cnf(refute_0_215,plain,
( X_8 != multiply(inverse(inverse(X_8)),identity)
| multiply(inverse(inverse(X_8)),identity) != inverse(inverse(X_8))
| X_8 = inverse(inverse(X_8)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_8,inverse(inverse(X_8))) ),[0],$fot(multiply(inverse(inverse(X_8)),identity))]]) ).
cnf(refute_0_216,plain,
( X_8 != multiply(inverse(inverse(X_8)),identity)
| X_8 = inverse(inverse(X_8)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_8)),identity),inverse(inverse(X_8))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
( inverse(inverse(multiply(X_8,identity))) != multiply(inverse(inverse(X_8)),identity)
| X_8 = inverse(inverse(X_8)) ),
inference(resolve,[$cnf( $equal(X_8,multiply(inverse(inverse(X_8)),identity)) )],[refute_0_206,refute_0_216]) ).
cnf(refute_0_218,plain,
X_8 = inverse(inverse(X_8)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_8,identity))),multiply(inverse(inverse(X_8)),identity)) )],[refute_0_183,refute_0_217]) ).
cnf(refute_0_219,plain,
( X_8 != inverse(inverse(X_8))
| inverse(inverse(X_8)) = X_8 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_8)),bind(Y0,$fot(inverse(inverse(X_8))))]]) ).
cnf(refute_0_220,plain,
inverse(inverse(X_8)) = X_8,
inference(resolve,[$cnf( $equal(X_8,inverse(inverse(X_8))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
inverse(inverse(X_3)) = X_3,
inference(subst,[],[refute_0_220:[bind(X_8,$fot(X_3))]]) ).
cnf(refute_0_222,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_223,plain,
( inverse(inverse(X_3)) != multiply(identity,X_3)
| X_3 = multiply(identity,X_3) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),X_3) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
X_3 = multiply(identity,X_3),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),multiply(identity,X_3)) )],[refute_0_32,refute_0_223]) ).
cnf(refute_0_225,plain,
( X_3 != multiply(identity,X_3)
| multiply(identity,X_3) = X_3 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_3)),bind(Y0,$fot(multiply(identity,X_3)))]]) ).
cnf(refute_0_226,plain,
multiply(identity,X_3) = X_3,
inference(resolve,[$cnf( $equal(X_3,multiply(identity,X_3)) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
multiply(identity,a2) = a2,
inference(subst,[],[refute_0_226:[bind(X_3,$fot(a2))]]) ).
cnf(refute_0_228,plain,
( multiply(identity,a2) != a2
| a2 != a2
| multiply(identity,a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(identity,a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_229,plain,
( a2 != a2
| multiply(identity,a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_229,refute_0_25]) ).
cnf(refute_0_231,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_232,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| identity != identity ),
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_231,refute_0_230]) ).
cnf(refute_0_233,plain,
identity = identity,
introduced(tautology,[refl,[$fot(identity)]]) ).
cnf(refute_0_234,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(identity,identity) )],[refute_0_233,refute_0_232]) ).
cnf(refute_0_235,plain,
multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) = divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),inverse(Y)),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))))))]]) ).
cnf(refute_0_236,plain,
divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),inverse(Y)) = X_8,
inference(subst,[],[refute_0_70:[bind(X,$fot(X_7)),bind(Y,$fot(X_8)),bind(Z,$fot(inverse(Y)))]]) ).
cnf(refute_0_237,plain,
( multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) != divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),inverse(Y))
| divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),inverse(Y)) != X_8
| multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) = X_8 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y),X_8) ),[0],$fot(divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),inverse(Y)))]]) ).
cnf(refute_0_238,plain,
( multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) != divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),inverse(Y))
| multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),inverse(Y)),X_8) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),inverse(Y))) )],[refute_0_235,refute_0_238]) ).
cnf(refute_0_240,plain,
divide(inverse(X_7),inverse(Y)) = multiply(inverse(X_7),Y),
inference(subst,[],[refute_0_107:[bind(X,$fot(inverse(X_7)))]]) ).
cnf(refute_0_241,plain,
divide(X_8,divide(inverse(X_7),inverse(Y))) = divide(X_8,divide(inverse(X_7),inverse(Y))),
introduced(tautology,[refl,[$fot(divide(X_8,divide(inverse(X_7),inverse(Y))))]]) ).
cnf(refute_0_242,plain,
( divide(X_8,divide(inverse(X_7),inverse(Y))) != divide(X_8,divide(inverse(X_7),inverse(Y)))
| divide(inverse(X_7),inverse(Y)) != multiply(inverse(X_7),Y)
| divide(X_8,divide(inverse(X_7),inverse(Y))) = divide(X_8,multiply(inverse(X_7),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_8,divide(inverse(X_7),inverse(Y))),divide(X_8,divide(inverse(X_7),inverse(Y)))) ),[1,1],$fot(multiply(inverse(X_7),Y))]]) ).
cnf(refute_0_243,plain,
( divide(inverse(X_7),inverse(Y)) != multiply(inverse(X_7),Y)
| divide(X_8,divide(inverse(X_7),inverse(Y))) = divide(X_8,multiply(inverse(X_7),Y)) ),
inference(resolve,[$cnf( $equal(divide(X_8,divide(inverse(X_7),inverse(Y))),divide(X_8,divide(inverse(X_7),inverse(Y)))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
divide(X_8,divide(inverse(X_7),inverse(Y))) = divide(X_8,multiply(inverse(X_7),Y)),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),inverse(Y)),multiply(inverse(X_7),Y)) )],[refute_0_240,refute_0_243]) ).
cnf(refute_0_245,plain,
divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))) = divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))),
introduced(tautology,[refl,[$fot(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))))]]) ).
cnf(refute_0_246,plain,
( divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))) != divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))
| divide(X_8,divide(inverse(X_7),inverse(Y))) != divide(X_8,multiply(inverse(X_7),Y))
| divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))) = divide(X_7,divide(X_8,multiply(inverse(X_7),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))),divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))) ),[1,1],$fot(divide(X_8,multiply(inverse(X_7),Y)))]]) ).
cnf(refute_0_247,plain,
( divide(X_8,divide(inverse(X_7),inverse(Y))) != divide(X_8,multiply(inverse(X_7),Y))
| divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))) = divide(X_7,divide(X_8,multiply(inverse(X_7),Y))) ),
inference(resolve,[$cnf( $equal(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))),divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))) = divide(X_7,divide(X_8,multiply(inverse(X_7),Y))),
inference(resolve,[$cnf( $equal(divide(X_8,divide(inverse(X_7),inverse(Y))),divide(X_8,multiply(inverse(X_7),Y))) )],[refute_0_244,refute_0_247]) ).
cnf(refute_0_249,plain,
inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))) = inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),
introduced(tautology,[refl,[$fot(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))))]]) ).
cnf(refute_0_250,plain,
( divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))) != divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))
| inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))) != inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))))
| inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))) = inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))))) ),[1,0],$fot(divide(X_7,divide(X_8,multiply(inverse(X_7),Y))))]]) ).
cnf(refute_0_251,plain,
( divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))) != divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))
| inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))) = inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))) = inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),
inference(resolve,[$cnf( $equal(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))),divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))) )],[refute_0_248,refute_0_251]) ).
cnf(refute_0_253,plain,
multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) = multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y),
introduced(tautology,[refl,[$fot(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y))]]) ).
cnf(refute_0_254,plain,
( multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) != multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y)
| inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))) != inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y))))
| multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) = multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y),multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y)) ),[1,0],$fot(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))))]]) ).
cnf(refute_0_255,plain,
( inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))) != inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y))))
| multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) = multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y),multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) = multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y))))) )],[refute_0_252,refute_0_255]) ).
cnf(refute_0_257,plain,
( multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) != X_8
| multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) != multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y)
| multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y),X_8) ),[0],$fot(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y))]]) ).
cnf(refute_0_258,plain,
( multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) != X_8
| multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y),multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y)) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y),X_8) )],[refute_0_239,refute_0_258]) ).
cnf(refute_0_260,plain,
multiply(X_13,identity) = X_13,
inference(subst,[],[refute_0_213:[bind(X_8,$fot(X_13))]]) ).
cnf(refute_0_261,plain,
divide(X_9,multiply(X_13,identity)) = divide(X_9,multiply(X_13,identity)),
introduced(tautology,[refl,[$fot(divide(X_9,multiply(X_13,identity)))]]) ).
cnf(refute_0_262,plain,
( multiply(X_13,identity) != X_13
| divide(X_9,multiply(X_13,identity)) != divide(X_9,multiply(X_13,identity))
| divide(X_9,multiply(X_13,identity)) = divide(X_9,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_9,multiply(X_13,identity)),divide(X_9,multiply(X_13,identity))) ),[1,1],$fot(X_13)]]) ).
cnf(refute_0_263,plain,
( multiply(X_13,identity) != X_13
| divide(X_9,multiply(X_13,identity)) = divide(X_9,X_13) ),
inference(resolve,[$cnf( $equal(divide(X_9,multiply(X_13,identity)),divide(X_9,multiply(X_13,identity))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
divide(X_9,multiply(X_13,identity)) = divide(X_9,X_13),
inference(resolve,[$cnf( $equal(multiply(X_13,identity),X_13) )],[refute_0_260,refute_0_263]) ).
cnf(refute_0_265,plain,
inverse(divide(X_9,multiply(X_13,identity))) = inverse(divide(X_9,multiply(X_13,identity))),
introduced(tautology,[refl,[$fot(inverse(divide(X_9,multiply(X_13,identity))))]]) ).
cnf(refute_0_266,plain,
( divide(X_9,multiply(X_13,identity)) != divide(X_9,X_13)
| inverse(divide(X_9,multiply(X_13,identity))) != inverse(divide(X_9,multiply(X_13,identity)))
| inverse(divide(X_9,multiply(X_13,identity))) = inverse(divide(X_9,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_9,multiply(X_13,identity))),inverse(divide(X_9,multiply(X_13,identity)))) ),[1,0],$fot(divide(X_9,X_13))]]) ).
cnf(refute_0_267,plain,
( divide(X_9,multiply(X_13,identity)) != divide(X_9,X_13)
| inverse(divide(X_9,multiply(X_13,identity))) = inverse(divide(X_9,X_13)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_9,multiply(X_13,identity))),inverse(divide(X_9,multiply(X_13,identity)))) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
inverse(divide(X_9,multiply(X_13,identity))) = inverse(divide(X_9,X_13)),
inference(resolve,[$cnf( $equal(divide(X_9,multiply(X_13,identity)),divide(X_9,X_13)) )],[refute_0_264,refute_0_267]) ).
cnf(refute_0_269,plain,
( divide(inverse(inverse(X_13)),X_9) != inverse(divide(X_9,multiply(X_13,identity)))
| inverse(divide(X_9,multiply(X_13,identity))) != inverse(divide(X_9,X_13))
| divide(inverse(inverse(X_13)),X_9) = inverse(divide(X_9,X_13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(inverse(inverse(X_13)),X_9),inverse(divide(X_9,X_13))) ),[0],$fot(inverse(divide(X_9,multiply(X_13,identity))))]]) ).
cnf(refute_0_270,plain,
( divide(inverse(inverse(X_13)),X_9) != inverse(divide(X_9,multiply(X_13,identity)))
| divide(inverse(inverse(X_13)),X_9) = inverse(divide(X_9,X_13)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_9,multiply(X_13,identity))),inverse(divide(X_9,X_13))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
divide(inverse(inverse(X_13)),X_9) = inverse(divide(X_9,X_13)),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_13)),X_9),inverse(divide(X_9,multiply(X_13,identity)))) )],[refute_0_173,refute_0_270]) ).
cnf(refute_0_272,plain,
inverse(inverse(X_13)) = X_13,
inference(subst,[],[refute_0_220:[bind(X_8,$fot(X_13))]]) ).
cnf(refute_0_273,plain,
divide(inverse(inverse(X_13)),X_9) = divide(inverse(inverse(X_13)),X_9),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(X_13)),X_9))]]) ).
cnf(refute_0_274,plain,
( divide(inverse(inverse(X_13)),X_9) != divide(inverse(inverse(X_13)),X_9)
| inverse(inverse(X_13)) != X_13
| divide(inverse(inverse(X_13)),X_9) = divide(X_13,X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_13)),X_9),divide(inverse(inverse(X_13)),X_9)) ),[1,0],$fot(X_13)]]) ).
cnf(refute_0_275,plain,
( inverse(inverse(X_13)) != X_13
| divide(inverse(inverse(X_13)),X_9) = divide(X_13,X_9) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_13)),X_9),divide(inverse(inverse(X_13)),X_9)) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
divide(inverse(inverse(X_13)),X_9) = divide(X_13,X_9),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_272,refute_0_275]) ).
cnf(refute_0_277,plain,
( divide(inverse(inverse(X_13)),X_9) != divide(X_13,X_9)
| divide(inverse(inverse(X_13)),X_9) != inverse(divide(X_9,X_13))
| divide(X_13,X_9) = inverse(divide(X_9,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_13)),X_9),inverse(divide(X_9,X_13))) ),[0],$fot(divide(X_13,X_9))]]) ).
cnf(refute_0_278,plain,
( divide(inverse(inverse(X_13)),X_9) != inverse(divide(X_9,X_13))
| divide(X_13,X_9) = inverse(divide(X_9,X_13)) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_13)),X_9),divide(X_13,X_9)) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
divide(X_13,X_9) = inverse(divide(X_9,X_13)),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_13)),X_9),inverse(divide(X_9,X_13))) )],[refute_0_271,refute_0_278]) ).
cnf(refute_0_280,plain,
( divide(X_13,X_9) != inverse(divide(X_9,X_13))
| inverse(divide(X_9,X_13)) = divide(X_13,X_9) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(divide(X_13,X_9))),bind(Y0,$fot(inverse(divide(X_9,X_13))))]]) ).
cnf(refute_0_281,plain,
inverse(divide(X_9,X_13)) = divide(X_13,X_9),
inference(resolve,[$cnf( $equal(divide(X_13,X_9),inverse(divide(X_9,X_13))) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))) = divide(divide(X_8,multiply(inverse(X_7),Y)),X_7),
inference(subst,[],[refute_0_281:[bind(X_13,$fot(divide(X_8,multiply(inverse(X_7),Y)))),bind(X_9,$fot(X_7))]]) ).
cnf(refute_0_283,plain,
multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y) = multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y),
introduced(tautology,[refl,[$fot(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y))]]) ).
cnf(refute_0_284,plain,
( multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y) != multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y)
| inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))) != divide(divide(X_8,multiply(inverse(X_7),Y)),X_7)
| multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y) = multiply(divide(divide(X_8,multiply(inverse(X_7),Y)),X_7),Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y),multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y)) ),[1,0],$fot(divide(divide(X_8,multiply(inverse(X_7),Y)),X_7))]]) ).
cnf(refute_0_285,plain,
( inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))) != divide(divide(X_8,multiply(inverse(X_7),Y)),X_7)
| multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y) = multiply(divide(divide(X_8,multiply(inverse(X_7),Y)),X_7),Y) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y),multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y)) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y) = multiply(divide(divide(X_8,multiply(inverse(X_7),Y)),X_7),Y),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),divide(divide(X_8,multiply(inverse(X_7),Y)),X_7)) )],[refute_0_282,refute_0_285]) ).
cnf(refute_0_287,plain,
( multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y) != X_8
| multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y) != multiply(divide(divide(X_8,multiply(inverse(X_7),Y)),X_7),Y)
| multiply(divide(divide(X_8,multiply(inverse(X_7),Y)),X_7),Y) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y),X_8) ),[0],$fot(multiply(divide(divide(X_8,multiply(inverse(X_7),Y)),X_7),Y))]]) ).
cnf(refute_0_288,plain,
( multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y) != X_8
| multiply(divide(divide(X_8,multiply(inverse(X_7),Y)),X_7),Y) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y),multiply(divide(divide(X_8,multiply(inverse(X_7),Y)),X_7),Y)) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
multiply(divide(divide(X_8,multiply(inverse(X_7),Y)),X_7),Y) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y),X_8) )],[refute_0_259,refute_0_288]) ).
cnf(refute_0_290,plain,
multiply(divide(divide(X_25,multiply(inverse(inverse(Y)),X_23)),inverse(Y)),X_23) = X_25,
inference(subst,[],[refute_0_289:[bind(Y,$fot(X_23)),bind(X_7,$fot(inverse(Y))),bind(X_8,$fot(X_25))]]) ).
cnf(refute_0_291,plain,
multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y) = divide(divide(X_25,multiply(inverse(inverse(Y)),X_23)),inverse(Y)),
inference(subst,[],[refute_0_13:[bind(X,$fot(divide(X_25,multiply(inverse(inverse(Y)),X_23))))]]) ).
cnf(refute_0_292,plain,
( multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y) != divide(divide(X_25,multiply(inverse(inverse(Y)),X_23)),inverse(Y))
| divide(divide(X_25,multiply(inverse(inverse(Y)),X_23)),inverse(Y)) = multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y))),bind(Y0,$fot(divide(divide(X_25,multiply(inverse(inverse(Y)),X_23)),inverse(Y))))]]) ).
cnf(refute_0_293,plain,
divide(divide(X_25,multiply(inverse(inverse(Y)),X_23)),inverse(Y)) = multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),
inference(resolve,[$cnf( $equal(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),divide(divide(X_25,multiply(inverse(inverse(Y)),X_23)),inverse(Y))) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
( multiply(divide(divide(X_25,multiply(inverse(inverse(Y)),X_23)),inverse(Y)),X_23) != X_25
| divide(divide(X_25,multiply(inverse(inverse(Y)),X_23)),inverse(Y)) != multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y)
| multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(divide(X_25,multiply(inverse(inverse(Y)),X_23)),inverse(Y)),X_23),X_25) ),[0,0],$fot(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y))]]) ).
cnf(refute_0_295,plain,
( multiply(divide(divide(X_25,multiply(inverse(inverse(Y)),X_23)),inverse(Y)),X_23) != X_25
| multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23) = X_25 ),
inference(resolve,[$cnf( $equal(divide(divide(X_25,multiply(inverse(inverse(Y)),X_23)),inverse(Y)),multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y)) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23) = X_25,
inference(resolve,[$cnf( $equal(multiply(divide(divide(X_25,multiply(inverse(inverse(Y)),X_23)),inverse(Y)),X_23),X_25) )],[refute_0_290,refute_0_295]) ).
cnf(refute_0_297,plain,
inverse(inverse(Y)) = Y,
inference(subst,[],[refute_0_220:[bind(X_8,$fot(Y))]]) ).
cnf(refute_0_298,plain,
multiply(inverse(inverse(Y)),X_23) = multiply(inverse(inverse(Y)),X_23),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(Y)),X_23))]]) ).
cnf(refute_0_299,plain,
( multiply(inverse(inverse(Y)),X_23) != multiply(inverse(inverse(Y)),X_23)
| inverse(inverse(Y)) != Y
| multiply(inverse(inverse(Y)),X_23) = multiply(Y,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(Y)),X_23),multiply(inverse(inverse(Y)),X_23)) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_300,plain,
( inverse(inverse(Y)) != Y
| multiply(inverse(inverse(Y)),X_23) = multiply(Y,X_23) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),X_23),multiply(inverse(inverse(Y)),X_23)) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
multiply(inverse(inverse(Y)),X_23) = multiply(Y,X_23),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_297,refute_0_300]) ).
cnf(refute_0_302,plain,
divide(X_25,multiply(inverse(inverse(Y)),X_23)) = divide(X_25,multiply(inverse(inverse(Y)),X_23)),
introduced(tautology,[refl,[$fot(divide(X_25,multiply(inverse(inverse(Y)),X_23)))]]) ).
cnf(refute_0_303,plain,
( multiply(inverse(inverse(Y)),X_23) != multiply(Y,X_23)
| divide(X_25,multiply(inverse(inverse(Y)),X_23)) != divide(X_25,multiply(inverse(inverse(Y)),X_23))
| divide(X_25,multiply(inverse(inverse(Y)),X_23)) = divide(X_25,multiply(Y,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_25,multiply(inverse(inverse(Y)),X_23)),divide(X_25,multiply(inverse(inverse(Y)),X_23))) ),[1,1],$fot(multiply(Y,X_23))]]) ).
cnf(refute_0_304,plain,
( multiply(inverse(inverse(Y)),X_23) != multiply(Y,X_23)
| divide(X_25,multiply(inverse(inverse(Y)),X_23)) = divide(X_25,multiply(Y,X_23)) ),
inference(resolve,[$cnf( $equal(divide(X_25,multiply(inverse(inverse(Y)),X_23)),divide(X_25,multiply(inverse(inverse(Y)),X_23))) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
divide(X_25,multiply(inverse(inverse(Y)),X_23)) = divide(X_25,multiply(Y,X_23)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),X_23),multiply(Y,X_23)) )],[refute_0_301,refute_0_304]) ).
cnf(refute_0_306,plain,
multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y) = multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),
introduced(tautology,[refl,[$fot(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y))]]) ).
cnf(refute_0_307,plain,
( multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y) != multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y)
| divide(X_25,multiply(inverse(inverse(Y)),X_23)) != divide(X_25,multiply(Y,X_23))
| multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y) = multiply(divide(X_25,multiply(Y,X_23)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y)) ),[1,0],$fot(divide(X_25,multiply(Y,X_23)))]]) ).
cnf(refute_0_308,plain,
( divide(X_25,multiply(inverse(inverse(Y)),X_23)) != divide(X_25,multiply(Y,X_23))
| multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y) = multiply(divide(X_25,multiply(Y,X_23)),Y) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y)) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y) = multiply(divide(X_25,multiply(Y,X_23)),Y),
inference(resolve,[$cnf( $equal(divide(X_25,multiply(inverse(inverse(Y)),X_23)),divide(X_25,multiply(Y,X_23))) )],[refute_0_305,refute_0_308]) ).
cnf(refute_0_310,plain,
multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23) = multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23),
introduced(tautology,[refl,[$fot(multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23))]]) ).
cnf(refute_0_311,plain,
( multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23) != multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23)
| multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y) != multiply(divide(X_25,multiply(Y,X_23)),Y)
| multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23) = multiply(multiply(divide(X_25,multiply(Y,X_23)),Y),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23),multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23)) ),[1,0],$fot(multiply(divide(X_25,multiply(Y,X_23)),Y))]]) ).
cnf(refute_0_312,plain,
( multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y) != multiply(divide(X_25,multiply(Y,X_23)),Y)
| multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23) = multiply(multiply(divide(X_25,multiply(Y,X_23)),Y),X_23) ),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23),multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23)) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23) = multiply(multiply(divide(X_25,multiply(Y,X_23)),Y),X_23),
inference(resolve,[$cnf( $equal(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),multiply(divide(X_25,multiply(Y,X_23)),Y)) )],[refute_0_309,refute_0_312]) ).
cnf(refute_0_314,plain,
( multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23) != X_25
| multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23) != multiply(multiply(divide(X_25,multiply(Y,X_23)),Y),X_23)
| multiply(multiply(divide(X_25,multiply(Y,X_23)),Y),X_23) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23),X_25) ),[0],$fot(multiply(multiply(divide(X_25,multiply(Y,X_23)),Y),X_23))]]) ).
cnf(refute_0_315,plain,
( multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23) != X_25
| multiply(multiply(divide(X_25,multiply(Y,X_23)),Y),X_23) = X_25 ),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23),multiply(multiply(divide(X_25,multiply(Y,X_23)),Y),X_23)) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
multiply(multiply(divide(X_25,multiply(Y,X_23)),Y),X_23) = X_25,
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_25,multiply(inverse(inverse(Y)),X_23)),Y),X_23),X_25) )],[refute_0_296,refute_0_315]) ).
cnf(refute_0_317,plain,
multiply(multiply(divide(multiply(X_8,multiply(X_37,X_38)),multiply(X_37,X_38)),X_37),X_38) = multiply(X_8,multiply(X_37,X_38)),
inference(subst,[],[refute_0_316:[bind(Y,$fot(X_37)),bind(X_23,$fot(X_38)),bind(X_25,$fot(multiply(X_8,multiply(X_37,X_38))))]]) ).
cnf(refute_0_318,plain,
divide(inverse(inverse(multiply(X_8,X_9))),X_9) = inverse(divide(X_9,multiply(X_8,X_9))),
inference(subst,[],[refute_0_271:[bind(X_13,$fot(multiply(X_8,X_9)))]]) ).
cnf(refute_0_319,plain,
( divide(inverse(inverse(multiply(X_8,X_9))),X_9) != X_8
| divide(inverse(inverse(multiply(X_8,X_9))),X_9) != inverse(divide(X_9,multiply(X_8,X_9)))
| inverse(divide(X_9,multiply(X_8,X_9))) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(multiply(X_8,X_9))),X_9),X_8) ),[0],$fot(inverse(divide(X_9,multiply(X_8,X_9))))]]) ).
cnf(refute_0_320,plain,
( divide(inverse(inverse(multiply(X_8,X_9))),X_9) != X_8
| inverse(divide(X_9,multiply(X_8,X_9))) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(X_8,X_9))),X_9),inverse(divide(X_9,multiply(X_8,X_9)))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
inverse(divide(X_9,multiply(X_8,X_9))) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(X_8,X_9))),X_9),X_8) )],[refute_0_168,refute_0_320]) ).
cnf(refute_0_322,plain,
inverse(divide(X_9,multiply(X_8,X_9))) = divide(multiply(X_8,X_9),X_9),
inference(subst,[],[refute_0_281:[bind(X_13,$fot(multiply(X_8,X_9)))]]) ).
cnf(refute_0_323,plain,
( inverse(divide(X_9,multiply(X_8,X_9))) != X_8
| inverse(divide(X_9,multiply(X_8,X_9))) != divide(multiply(X_8,X_9),X_9)
| divide(multiply(X_8,X_9),X_9) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_9,multiply(X_8,X_9))),X_8) ),[0],$fot(divide(multiply(X_8,X_9),X_9))]]) ).
cnf(refute_0_324,plain,
( inverse(divide(X_9,multiply(X_8,X_9))) != X_8
| divide(multiply(X_8,X_9),X_9) = X_8 ),
inference(resolve,[$cnf( $equal(inverse(divide(X_9,multiply(X_8,X_9))),divide(multiply(X_8,X_9),X_9)) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
divide(multiply(X_8,X_9),X_9) = X_8,
inference(resolve,[$cnf( $equal(inverse(divide(X_9,multiply(X_8,X_9))),X_8) )],[refute_0_321,refute_0_324]) ).
cnf(refute_0_326,plain,
divide(multiply(X_8,multiply(X_37,X_38)),multiply(X_37,X_38)) = X_8,
inference(subst,[],[refute_0_325:[bind(X_9,$fot(multiply(X_37,X_38)))]]) ).
cnf(refute_0_327,plain,
( multiply(multiply(divide(multiply(X_8,multiply(X_37,X_38)),multiply(X_37,X_38)),X_37),X_38) != multiply(X_8,multiply(X_37,X_38))
| divide(multiply(X_8,multiply(X_37,X_38)),multiply(X_37,X_38)) != X_8
| multiply(multiply(X_8,X_37),X_38) = multiply(X_8,multiply(X_37,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(divide(multiply(X_8,multiply(X_37,X_38)),multiply(X_37,X_38)),X_37),X_38),multiply(X_8,multiply(X_37,X_38))) ),[0,0,0],$fot(X_8)]]) ).
cnf(refute_0_328,plain,
( multiply(multiply(divide(multiply(X_8,multiply(X_37,X_38)),multiply(X_37,X_38)),X_37),X_38) != multiply(X_8,multiply(X_37,X_38))
| multiply(multiply(X_8,X_37),X_38) = multiply(X_8,multiply(X_37,X_38)) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_8,multiply(X_37,X_38)),multiply(X_37,X_38)),X_8) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
multiply(multiply(X_8,X_37),X_38) = multiply(X_8,multiply(X_37,X_38)),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(multiply(X_8,multiply(X_37,X_38)),multiply(X_37,X_38)),X_37),X_38),multiply(X_8,multiply(X_37,X_38))) )],[refute_0_317,refute_0_328]) ).
cnf(refute_0_330,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_329:[bind(X_37,$fot(b3)),bind(X_38,$fot(c3)),bind(X_8,$fot(a3))]]) ).
cnf(refute_0_331,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_332,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_332,refute_0_234]) ).
cnf(refute_0_334,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_335,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_334,refute_0_333]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP066-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 04:43:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39
% 0.14/0.39 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.46
%------------------------------------------------------------------------------