%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP067-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 10:34:14 EDT 2022
% Result : Unsatisfiable 0.21s 0.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 112
% Syntax : Number of clauses : 372 ( 188 unt; 0 nHn; 188 RR)
% Number of literals : 641 ( 640 equ; 275 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 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 : 642 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,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( $equal(inverse(inverse(X_3)),divide(identity,inverse(X_3))) )],[refute_0_26,refute_0_31]) ).
cnf(refute_0_33,plain,
divide(identity,divide(X,divide(Y,divide(inverse(X),Z)))) = inverse(divide(X,divide(Y,divide(inverse(X),Z)))),
inference(subst,[],[refute_0_5:[bind(X,$fot(divide(X,divide(Y,divide(inverse(X),Z)))))]]) ).
cnf(refute_0_34,plain,
divide(divide(identity,X),Z) = divide(divide(identity,X),Z),
introduced(tautology,[refl,[$fot(divide(divide(identity,X),Z))]]) ).
cnf(refute_0_35,plain,
( divide(divide(identity,X),Z) != divide(divide(identity,X),Z)
| divide(identity,X) != inverse(X)
| divide(divide(identity,X),Z) = divide(inverse(X),Z) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,X),Z),divide(divide(identity,X),Z)) ),[1,0],$fot(inverse(X))]]) ).
cnf(refute_0_36,plain,
( divide(identity,X) != inverse(X)
| divide(divide(identity,X),Z) = divide(inverse(X),Z) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,X),Z),divide(divide(identity,X),Z)) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
divide(divide(identity,X),Z) = divide(inverse(X),Z),
inference(resolve,[$cnf( $equal(divide(identity,X),inverse(X)) )],[refute_0_5,refute_0_36]) ).
cnf(refute_0_38,plain,
divide(Y,divide(divide(identity,X),Z)) = divide(Y,divide(divide(identity,X),Z)),
introduced(tautology,[refl,[$fot(divide(Y,divide(divide(identity,X),Z)))]]) ).
cnf(refute_0_39,plain,
( divide(Y,divide(divide(identity,X),Z)) != divide(Y,divide(divide(identity,X),Z))
| divide(divide(identity,X),Z) != divide(inverse(X),Z)
| divide(Y,divide(divide(identity,X),Z)) = divide(Y,divide(inverse(X),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(Y,divide(divide(identity,X),Z)),divide(Y,divide(divide(identity,X),Z))) ),[1,1],$fot(divide(inverse(X),Z))]]) ).
cnf(refute_0_40,plain,
( divide(divide(identity,X),Z) != divide(inverse(X),Z)
| divide(Y,divide(divide(identity,X),Z)) = divide(Y,divide(inverse(X),Z)) ),
inference(resolve,[$cnf( $equal(divide(Y,divide(divide(identity,X),Z)),divide(Y,divide(divide(identity,X),Z))) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
divide(Y,divide(divide(identity,X),Z)) = divide(Y,divide(inverse(X),Z)),
inference(resolve,[$cnf( $equal(divide(divide(identity,X),Z),divide(inverse(X),Z)) )],[refute_0_37,refute_0_40]) ).
cnf(refute_0_42,plain,
divide(X,divide(Y,divide(divide(identity,X),Z))) = divide(X,divide(Y,divide(divide(identity,X),Z))),
introduced(tautology,[refl,[$fot(divide(X,divide(Y,divide(divide(identity,X),Z))))]]) ).
cnf(refute_0_43,plain,
( divide(X,divide(Y,divide(divide(identity,X),Z))) != divide(X,divide(Y,divide(divide(identity,X),Z)))
| divide(Y,divide(divide(identity,X),Z)) != divide(Y,divide(inverse(X),Z))
| divide(X,divide(Y,divide(divide(identity,X),Z))) = divide(X,divide(Y,divide(inverse(X),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(Y,divide(divide(identity,X),Z))),divide(X,divide(Y,divide(divide(identity,X),Z)))) ),[1,1],$fot(divide(Y,divide(inverse(X),Z)))]]) ).
cnf(refute_0_44,plain,
( divide(Y,divide(divide(identity,X),Z)) != divide(Y,divide(inverse(X),Z))
| divide(X,divide(Y,divide(divide(identity,X),Z))) = divide(X,divide(Y,divide(inverse(X),Z))) ),
inference(resolve,[$cnf( $equal(divide(X,divide(Y,divide(divide(identity,X),Z))),divide(X,divide(Y,divide(divide(identity,X),Z)))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
divide(X,divide(Y,divide(divide(identity,X),Z))) = divide(X,divide(Y,divide(inverse(X),Z))),
inference(resolve,[$cnf( $equal(divide(Y,divide(divide(identity,X),Z)),divide(Y,divide(inverse(X),Z))) )],[refute_0_41,refute_0_44]) ).
cnf(refute_0_46,plain,
divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z)))) = divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z)))),
introduced(tautology,[refl,[$fot(divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z)))))]]) ).
cnf(refute_0_47,plain,
( divide(X,divide(Y,divide(divide(identity,X),Z))) != divide(X,divide(Y,divide(inverse(X),Z)))
| divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z)))) != divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z))))
| divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z)))) = divide(identity,divide(X,divide(Y,divide(inverse(X),Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z)))),divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z))))) ),[1,1],$fot(divide(X,divide(Y,divide(inverse(X),Z))))]]) ).
cnf(refute_0_48,plain,
( divide(X,divide(Y,divide(divide(identity,X),Z))) != divide(X,divide(Y,divide(inverse(X),Z)))
| divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z)))) = divide(identity,divide(X,divide(Y,divide(inverse(X),Z)))) ),
inference(resolve,[$cnf( $equal(divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z)))),divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z))))) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z)))) = divide(identity,divide(X,divide(Y,divide(inverse(X),Z)))),
inference(resolve,[$cnf( $equal(divide(X,divide(Y,divide(divide(identity,X),Z))),divide(X,divide(Y,divide(inverse(X),Z)))) )],[refute_0_45,refute_0_48]) ).
cnf(refute_0_50,plain,
( identity != divide(X,X)
| divide(X,X) = identity ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(X,X)))]]) ).
cnf(refute_0_51,plain,
divide(X,X) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X,X)) )],[identity,refute_0_50]) ).
cnf(refute_0_52,plain,
divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))) = divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),
introduced(tautology,[refl,[$fot(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))))]]) ).
cnf(refute_0_53,plain,
( divide(X,X) != identity
| divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))) != divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z))))
| divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))) = divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z))))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_54,plain,
( divide(X,X) != identity
| divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))) = divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z)))) ),
inference(resolve,[$cnf( $equal(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z))))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))) = divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z)))),
inference(resolve,[$cnf( $equal(divide(X,X),identity) )],[refute_0_51,refute_0_54]) ).
cnf(refute_0_56,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_57,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_3,refute_0_56]) ).
cnf(refute_0_58,plain,
( divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))) != divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z))))
| divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z)))) != divide(identity,divide(X,divide(Y,divide(inverse(X),Z))))
| divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))) = divide(identity,divide(X,divide(Y,divide(inverse(X),Z)))) ),
inference(subst,[],[refute_0_57:[bind(X0,$fot(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))))),bind(Y0,$fot(divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z)))))),bind(Z0,$fot(divide(identity,divide(X,divide(Y,divide(inverse(X),Z))))))]]) ).
cnf(refute_0_59,plain,
( divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z)))) != divide(identity,divide(X,divide(Y,divide(inverse(X),Z))))
| divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))) = divide(identity,divide(X,divide(Y,divide(inverse(X),Z)))) ),
inference(resolve,[$cnf( $equal(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z))))) )],[refute_0_55,refute_0_58]) ).
cnf(refute_0_60,plain,
divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))) = divide(identity,divide(X,divide(Y,divide(inverse(X),Z)))),
inference(resolve,[$cnf( $equal(divide(identity,divide(X,divide(Y,divide(divide(identity,X),Z)))),divide(identity,divide(X,divide(Y,divide(inverse(X),Z))))) )],[refute_0_49,refute_0_59]) ).
cnf(refute_0_61,plain,
( divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))) != divide(identity,divide(X,divide(Y,divide(inverse(X),Z))))
| divide(identity,divide(X,divide(Y,divide(inverse(X),Z)))) != inverse(divide(X,divide(Y,divide(inverse(X),Z))))
| divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))) = inverse(divide(X,divide(Y,divide(inverse(X),Z)))) ),
inference(subst,[],[refute_0_57:[bind(X0,$fot(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))))),bind(Y0,$fot(divide(identity,divide(X,divide(Y,divide(inverse(X),Z)))))),bind(Z0,$fot(inverse(divide(X,divide(Y,divide(inverse(X),Z))))))]]) ).
cnf(refute_0_62,plain,
( divide(identity,divide(X,divide(Y,divide(inverse(X),Z)))) != inverse(divide(X,divide(Y,divide(inverse(X),Z))))
| divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))) = inverse(divide(X,divide(Y,divide(inverse(X),Z)))) ),
inference(resolve,[$cnf( $equal(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),divide(identity,divide(X,divide(Y,divide(inverse(X),Z))))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))) = inverse(divide(X,divide(Y,divide(inverse(X),Z)))),
inference(resolve,[$cnf( $equal(divide(identity,divide(X,divide(Y,divide(inverse(X),Z)))),inverse(divide(X,divide(Y,divide(inverse(X),Z))))) )],[refute_0_33,refute_0_62]) ).
cnf(refute_0_64,plain,
divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),Z) = divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),Z),
introduced(tautology,[refl,[$fot(divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),Z))]]) ).
cnf(refute_0_65,plain,
( divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))) != inverse(divide(X,divide(Y,divide(inverse(X),Z))))
| divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),Z) != divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),Z)
| divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),Z) = divide(inverse(divide(X,divide(Y,divide(inverse(X),Z)))),Z) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),Z),divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),Z)) ),[1,0],$fot(inverse(divide(X,divide(Y,divide(inverse(X),Z)))))]]) ).
cnf(refute_0_66,plain,
( divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))) != inverse(divide(X,divide(Y,divide(inverse(X),Z))))
| divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),Z) = divide(inverse(divide(X,divide(Y,divide(inverse(X),Z)))),Z) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),Z),divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),Z)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),Z) = divide(inverse(divide(X,divide(Y,divide(inverse(X),Z)))),Z),
inference(resolve,[$cnf( $equal(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),inverse(divide(X,divide(Y,divide(inverse(X),Z))))) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
( divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),Z) != Y
| divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),Z) != divide(inverse(divide(X,divide(Y,divide(inverse(X),Z)))),Z)
| divide(inverse(divide(X,divide(Y,divide(inverse(X),Z)))),Z) = Y ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),Z),Y) ),[0],$fot(divide(inverse(divide(X,divide(Y,divide(inverse(X),Z)))),Z))]]) ).
cnf(refute_0_69,plain,
( divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),Z) != Y
| divide(inverse(divide(X,divide(Y,divide(inverse(X),Z)))),Z) = Y ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),Z),divide(inverse(divide(X,divide(Y,divide(inverse(X),Z)))),Z)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
divide(inverse(divide(X,divide(Y,divide(inverse(X),Z)))),Z) = Y,
inference(resolve,[$cnf( $equal(divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(identity,X),Z)))),Z),Y) )],[single_axiom,refute_0_69]) ).
cnf(refute_0_71,plain,
divide(inverse(divide(identity,divide(X_8,divide(inverse(identity),X_9)))),X_9) = X_8,
inference(subst,[],[refute_0_70:[bind(X,$fot(identity)),bind(Y,$fot(X_8)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_72,plain,
identity = divide(identity,identity),
inference(subst,[],[identity:[bind(X,$fot(identity))]]) ).
cnf(refute_0_73,plain,
inverse(identity) = divide(identity,identity),
inference(subst,[],[inverse:[bind(X,$fot(identity))]]) ).
cnf(refute_0_74,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_75,plain,
divide(identity,identity) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),divide(identity,identity)) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
( divide(identity,identity) != inverse(identity)
| identity != divide(identity,identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(identity,divide(identity,identity)) ),[1],$fot(inverse(identity))]]) ).
cnf(refute_0_77,plain,
( identity != divide(identity,identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(divide(identity,identity),inverse(identity)) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(identity,divide(identity,identity)) )],[refute_0_72,refute_0_77]) ).
cnf(refute_0_79,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(identity)),bind(Y0,$fot(inverse(identity)))]]) ).
cnf(refute_0_80,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
( divide(inverse(divide(identity,divide(X_8,divide(inverse(identity),X_9)))),X_9) != X_8
| inverse(identity) != identity
| divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = X_8 ),
introduced(tautology,[equality,[$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_82,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( $equal(inverse(identity),identity) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,divide(X_8,divide(inverse(identity),X_9)))),X_9),X_8) )],[refute_0_71,refute_0_82]) ).
cnf(refute_0_84,plain,
( multiply(X,Y) != divide(X,inverse(Y))
| divide(X,inverse(Y)) = multiply(X,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(divide(X,inverse(Y))))]]) ).
cnf(refute_0_85,plain,
divide(X,inverse(Y)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,inverse(Y))) )],[refute_0_13,refute_0_84]) ).
cnf(refute_0_86,plain,
divide(X_8,inverse(X_9)) = multiply(X_8,X_9),
inference(subst,[],[refute_0_85:[bind(X,$fot(X_8)),bind(Y,$fot(X_9))]]) ).
cnf(refute_0_87,plain,
divide(identity,X_9) = inverse(X_9),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_9))]]) ).
cnf(refute_0_88,plain,
divide(X_8,divide(identity,X_9)) = divide(X_8,divide(identity,X_9)),
introduced(tautology,[refl,[$fot(divide(X_8,divide(identity,X_9)))]]) ).
cnf(refute_0_89,plain,
( divide(X_8,divide(identity,X_9)) != divide(X_8,divide(identity,X_9))
| divide(identity,X_9) != inverse(X_9)
| divide(X_8,divide(identity,X_9)) = divide(X_8,inverse(X_9)) ),
introduced(tautology,[equality,[$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_90,plain,
( divide(identity,X_9) != inverse(X_9)
| divide(X_8,divide(identity,X_9)) = divide(X_8,inverse(X_9)) ),
inference(resolve,[$cnf( $equal(divide(X_8,divide(identity,X_9)),divide(X_8,divide(identity,X_9))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
divide(X_8,divide(identity,X_9)) = divide(X_8,inverse(X_9)),
inference(resolve,[$cnf( $equal(divide(identity,X_9),inverse(X_9)) )],[refute_0_87,refute_0_90]) ).
cnf(refute_0_92,plain,
( divide(X_8,divide(identity,X_9)) != divide(X_8,inverse(X_9))
| divide(X_8,inverse(X_9)) != multiply(X_8,X_9)
| divide(X_8,divide(identity,X_9)) = multiply(X_8,X_9) ),
inference(subst,[],[refute_0_57:[bind(X0,$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_93,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( $equal(divide(X_8,divide(identity,X_9)),divide(X_8,inverse(X_9))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
divide(X_8,divide(identity,X_9)) = multiply(X_8,X_9),
inference(resolve,[$cnf( $equal(divide(X_8,inverse(X_9)),multiply(X_8,X_9)) )],[refute_0_86,refute_0_93]) ).
cnf(refute_0_95,plain,
inverse(divide(X_8,divide(identity,X_9))) = inverse(divide(X_8,divide(identity,X_9))),
introduced(tautology,[refl,[$fot(inverse(divide(X_8,divide(identity,X_9))))]]) ).
cnf(refute_0_96,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_97,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( $equal(inverse(divide(X_8,divide(identity,X_9))),inverse(divide(X_8,divide(identity,X_9)))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
inverse(divide(X_8,divide(identity,X_9))) = inverse(multiply(X_8,X_9)),
inference(resolve,[$cnf( $equal(divide(X_8,divide(identity,X_9)),multiply(X_8,X_9)) )],[refute_0_94,refute_0_97]) ).
cnf(refute_0_99,plain,
divide(identity,divide(X_8,divide(identity,X_9))) = inverse(divide(X_8,divide(identity,X_9))),
inference(subst,[],[refute_0_5:[bind(X,$fot(divide(X_8,divide(identity,X_9))))]]) ).
cnf(refute_0_100,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_57:[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,$fot(inverse(multiply(X_8,X_9))))]]) ).
cnf(refute_0_101,plain,
( inverse(divide(X_8,divide(identity,X_9))) != inverse(multiply(X_8,X_9))
| divide(identity,divide(X_8,divide(identity,X_9))) = inverse(multiply(X_8,X_9)) ),
inference(resolve,[$cnf( $equal(divide(identity,divide(X_8,divide(identity,X_9))),inverse(divide(X_8,divide(identity,X_9)))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
divide(identity,divide(X_8,divide(identity,X_9))) = inverse(multiply(X_8,X_9)),
inference(resolve,[$cnf( $equal(inverse(divide(X_8,divide(identity,X_9))),inverse(multiply(X_8,X_9))) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
inverse(divide(identity,divide(X_8,divide(identity,X_9)))) = inverse(divide(identity,divide(X_8,divide(identity,X_9)))),
introduced(tautology,[refl,[$fot(inverse(divide(identity,divide(X_8,divide(identity,X_9)))))]]) ).
cnf(refute_0_104,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_105,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( $equal(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),inverse(divide(identity,divide(X_8,divide(identity,X_9))))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
inverse(divide(identity,divide(X_8,divide(identity,X_9)))) = inverse(inverse(multiply(X_8,X_9))),
inference(resolve,[$cnf( $equal(divide(identity,divide(X_8,divide(identity,X_9))),inverse(multiply(X_8,X_9))) )],[refute_0_102,refute_0_105]) ).
cnf(refute_0_107,plain,
divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9),
introduced(tautology,[refl,[$fot(divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9))]]) ).
cnf(refute_0_108,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_109,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( $equal(divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9),divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9)) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = divide(inverse(inverse(multiply(X_8,X_9))),X_9),
inference(resolve,[$cnf( $equal(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),inverse(inverse(multiply(X_8,X_9)))) )],[refute_0_106,refute_0_109]) ).
cnf(refute_0_111,plain,
( divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) != X_8
| divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) != divide(inverse(inverse(multiply(X_8,X_9))),X_9)
| divide(inverse(inverse(multiply(X_8,X_9))),X_9) = X_8 ),
introduced(tautology,[equality,[$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_112,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( $equal(divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9),divide(inverse(inverse(multiply(X_8,X_9))),X_9)) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
divide(inverse(inverse(multiply(X_8,X_9))),X_9) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9),X_8) )],[refute_0_83,refute_0_112]) ).
cnf(refute_0_114,plain,
divide(inverse(inverse(multiply(inverse(inverse(multiply(X_13,identity))),identity))),identity) = inverse(inverse(multiply(X_13,identity))),
inference(subst,[],[refute_0_113:[bind(X_8,$fot(inverse(inverse(multiply(X_13,identity))))),bind(X_9,$fot(identity))]]) ).
cnf(refute_0_115,plain,
multiply(X_2,identity) = divide(X_2,inverse(identity)),
inference(subst,[],[refute_0_13:[bind(X,$fot(X_2)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_116,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| inverse(identity) != identity
| multiply(X_2,identity) = divide(X_2,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_117,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| multiply(X_2,identity) = divide(X_2,identity) ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_80,refute_0_116]) ).
cnf(refute_0_118,plain,
multiply(X_2,identity) = divide(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) )],[refute_0_115,refute_0_117]) ).
cnf(refute_0_119,plain,
multiply(inverse(inverse(multiply(X_10,identity))),identity) = divide(inverse(inverse(multiply(X_10,identity))),identity),
inference(subst,[],[refute_0_118:[bind(X_2,$fot(inverse(inverse(multiply(X_10,identity)))))]]) ).
cnf(refute_0_120,plain,
divide(inverse(inverse(multiply(X_10,identity))),identity) = X_10,
inference(subst,[],[refute_0_113:[bind(X_8,$fot(X_10)),bind(X_9,$fot(identity))]]) ).
cnf(refute_0_121,plain,
( multiply(inverse(inverse(multiply(X_10,identity))),identity) != divide(inverse(inverse(multiply(X_10,identity))),identity)
| divide(inverse(inverse(multiply(X_10,identity))),identity) != X_10
| multiply(inverse(inverse(multiply(X_10,identity))),identity) = X_10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(inverse(multiply(X_10,identity))),identity),X_10) ),[0],$fot(divide(inverse(inverse(multiply(X_10,identity))),identity))]]) ).
cnf(refute_0_122,plain,
( multiply(inverse(inverse(multiply(X_10,identity))),identity) != divide(inverse(inverse(multiply(X_10,identity))),identity)
| multiply(inverse(inverse(multiply(X_10,identity))),identity) = X_10 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(X_10,identity))),identity),X_10) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
multiply(inverse(inverse(multiply(X_10,identity))),identity) = X_10,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_10,identity))),identity),divide(inverse(inverse(multiply(X_10,identity))),identity)) )],[refute_0_119,refute_0_122]) ).
cnf(refute_0_124,plain,
multiply(inverse(inverse(multiply(X_13,identity))),identity) = X_13,
inference(subst,[],[refute_0_123:[bind(X_10,$fot(X_13))]]) ).
cnf(refute_0_125,plain,
( multiply(inverse(inverse(multiply(X_13,identity))),identity) != X_13
| divide(inverse(inverse(multiply(inverse(inverse(multiply(X_13,identity))),identity))),identity) != inverse(inverse(multiply(X_13,identity)))
| divide(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(multiply(inverse(inverse(multiply(X_13,identity))),identity))),identity),inverse(inverse(multiply(X_13,identity)))) ),[0,0,0,0],$fot(X_13)]]) ).
cnf(refute_0_126,plain,
( divide(inverse(inverse(multiply(inverse(inverse(multiply(X_13,identity))),identity))),identity) != inverse(inverse(multiply(X_13,identity)))
| divide(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_13,identity))),identity),X_13) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
divide(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(inverse(inverse(multiply(X_13,identity))),identity))),identity),inverse(inverse(multiply(X_13,identity)))) )],[refute_0_114,refute_0_126]) ).
cnf(refute_0_128,plain,
( multiply(X_2,identity) != divide(X_2,identity)
| divide(X_2,identity) = multiply(X_2,identity) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_2,identity))),bind(Y0,$fot(divide(X_2,identity)))]]) ).
cnf(refute_0_129,plain,
divide(X_2,identity) = multiply(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,identity)) )],[refute_0_118,refute_0_128]) ).
cnf(refute_0_130,plain,
divide(inverse(inverse(X_13)),identity) = multiply(inverse(inverse(X_13)),identity),
inference(subst,[],[refute_0_129:[bind(X_2,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_131,plain,
( divide(inverse(inverse(X_13)),identity) != multiply(inverse(inverse(X_13)),identity)
| divide(inverse(inverse(X_13)),identity) != inverse(inverse(multiply(X_13,identity)))
| multiply(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_13)),identity),inverse(inverse(multiply(X_13,identity)))) ),[0],$fot(multiply(inverse(inverse(X_13)),identity))]]) ).
cnf(refute_0_132,plain,
( divide(inverse(inverse(X_13)),identity) != inverse(inverse(multiply(X_13,identity)))
| multiply(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_13)),identity),multiply(inverse(inverse(X_13)),identity)) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
multiply(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_13)),identity),inverse(inverse(multiply(X_13,identity)))) )],[refute_0_127,refute_0_132]) ).
cnf(refute_0_134,plain,
divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(X_7))))),inverse(X_7)) = X_8,
inference(subst,[],[refute_0_70:[bind(X,$fot(X_7)),bind(Y,$fot(X_8)),bind(Z,$fot(inverse(X_7)))]]) ).
cnf(refute_0_135,plain,
identity = divide(inverse(X_7),inverse(X_7)),
inference(subst,[],[identity:[bind(X,$fot(inverse(X_7)))]]) ).
cnf(refute_0_136,plain,
( identity != divide(inverse(X_7),inverse(X_7))
| divide(inverse(X_7),inverse(X_7)) = identity ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(inverse(X_7),inverse(X_7))))]]) ).
cnf(refute_0_137,plain,
divide(inverse(X_7),inverse(X_7)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(inverse(X_7),inverse(X_7))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
( divide(inverse(X_7),inverse(X_7)) != identity
| divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(X_7))))),inverse(X_7)) != X_8
| divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = X_8 ),
introduced(tautology,[equality,[$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_139,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( $equal(divide(inverse(X_7),inverse(X_7)),identity) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(X_7))))),inverse(X_7)),X_8) )],[refute_0_134,refute_0_139]) ).
cnf(refute_0_141,plain,
divide(X_8,identity) = multiply(X_8,identity),
inference(subst,[],[refute_0_129:[bind(X_2,$fot(X_8))]]) ).
cnf(refute_0_142,plain,
divide(X_7,divide(X_8,identity)) = divide(X_7,divide(X_8,identity)),
introduced(tautology,[refl,[$fot(divide(X_7,divide(X_8,identity)))]]) ).
cnf(refute_0_143,plain,
( divide(X_7,divide(X_8,identity)) != divide(X_7,divide(X_8,identity))
| divide(X_8,identity) != multiply(X_8,identity)
| divide(X_7,divide(X_8,identity)) = divide(X_7,multiply(X_8,identity)) ),
introduced(tautology,[equality,[$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_144,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( $equal(divide(X_7,divide(X_8,identity)),divide(X_7,divide(X_8,identity))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
divide(X_7,divide(X_8,identity)) = divide(X_7,multiply(X_8,identity)),
inference(resolve,[$cnf( $equal(divide(X_8,identity),multiply(X_8,identity)) )],[refute_0_141,refute_0_144]) ).
cnf(refute_0_146,plain,
inverse(divide(X_7,divide(X_8,identity))) = inverse(divide(X_7,divide(X_8,identity))),
introduced(tautology,[refl,[$fot(inverse(divide(X_7,divide(X_8,identity))))]]) ).
cnf(refute_0_147,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_148,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( $equal(inverse(divide(X_7,divide(X_8,identity))),inverse(divide(X_7,divide(X_8,identity)))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
inverse(divide(X_7,divide(X_8,identity))) = inverse(divide(X_7,multiply(X_8,identity))),
inference(resolve,[$cnf( $equal(divide(X_7,divide(X_8,identity)),divide(X_7,multiply(X_8,identity))) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
multiply(inverse(divide(X_7,divide(X_8,identity))),X_7) = multiply(inverse(divide(X_7,divide(X_8,identity))),X_7),
introduced(tautology,[refl,[$fot(multiply(inverse(divide(X_7,divide(X_8,identity))),X_7))]]) ).
cnf(refute_0_151,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_152,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( $equal(multiply(inverse(divide(X_7,divide(X_8,identity))),X_7),multiply(inverse(divide(X_7,divide(X_8,identity))),X_7)) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
multiply(inverse(divide(X_7,divide(X_8,identity))),X_7) = multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,divide(X_8,identity))),inverse(divide(X_7,multiply(X_8,identity)))) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = multiply(inverse(divide(X_7,divide(X_8,identity))),X_7),
inference(subst,[],[refute_0_85:[bind(X,$fot(inverse(divide(X_7,divide(X_8,identity))))),bind(Y,$fot(X_7))]]) ).
cnf(refute_0_155,plain,
( multiply(inverse(divide(X_7,divide(X_8,identity))),X_7) != multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)
| divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) != multiply(inverse(divide(X_7,divide(X_8,identity))),X_7)
| divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) ),
inference(subst,[],[refute_0_57:[bind(X0,$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_156,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( $equal(divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)),multiply(inverse(divide(X_7,divide(X_8,identity))),X_7)) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,identity))),X_7),multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)) )],[refute_0_153,refute_0_156]) ).
cnf(refute_0_158,plain,
( divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) != X_8
| divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) != multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)
| multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) = X_8 ),
introduced(tautology,[equality,[$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_159,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( $equal(divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)),multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)),X_8) )],[refute_0_140,refute_0_159]) ).
cnf(refute_0_161,plain,
multiply(inverse(divide(X_7,multiply(inverse(divide(identity,multiply(X_19,identity))),identity))),X_7) = inverse(divide(identity,multiply(X_19,identity))),
inference(subst,[],[refute_0_160:[bind(X_8,$fot(inverse(divide(identity,multiply(X_19,identity)))))]]) ).
cnf(refute_0_162,plain,
multiply(inverse(divide(identity,multiply(X_19,identity))),identity) = X_19,
inference(subst,[],[refute_0_160:[bind(X_7,$fot(identity)),bind(X_8,$fot(X_19))]]) ).
cnf(refute_0_163,plain,
( multiply(inverse(divide(X_7,multiply(inverse(divide(identity,multiply(X_19,identity))),identity))),X_7) != inverse(divide(identity,multiply(X_19,identity)))
| multiply(inverse(divide(identity,multiply(X_19,identity))),identity) != X_19
| multiply(inverse(divide(X_7,X_19)),X_7) = inverse(divide(identity,multiply(X_19,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,multiply(inverse(divide(identity,multiply(X_19,identity))),identity))),X_7),inverse(divide(identity,multiply(X_19,identity)))) ),[0,0,0,1],$fot(X_19)]]) ).
cnf(refute_0_164,plain,
( multiply(inverse(divide(X_7,multiply(inverse(divide(identity,multiply(X_19,identity))),identity))),X_7) != inverse(divide(identity,multiply(X_19,identity)))
| multiply(inverse(divide(X_7,X_19)),X_7) = inverse(divide(identity,multiply(X_19,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(identity,multiply(X_19,identity))),identity),X_19) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
multiply(inverse(divide(X_7,X_19)),X_7) = inverse(divide(identity,multiply(X_19,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,multiply(inverse(divide(identity,multiply(X_19,identity))),identity))),X_7),inverse(divide(identity,multiply(X_19,identity)))) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
divide(identity,multiply(X_19,identity)) = inverse(multiply(X_19,identity)),
inference(subst,[],[refute_0_5:[bind(X,$fot(multiply(X_19,identity)))]]) ).
cnf(refute_0_167,plain,
inverse(divide(identity,multiply(X_19,identity))) = inverse(divide(identity,multiply(X_19,identity))),
introduced(tautology,[refl,[$fot(inverse(divide(identity,multiply(X_19,identity))))]]) ).
cnf(refute_0_168,plain,
( divide(identity,multiply(X_19,identity)) != inverse(multiply(X_19,identity))
| inverse(divide(identity,multiply(X_19,identity))) != inverse(divide(identity,multiply(X_19,identity)))
| inverse(divide(identity,multiply(X_19,identity))) = inverse(inverse(multiply(X_19,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(identity,multiply(X_19,identity))),inverse(divide(identity,multiply(X_19,identity)))) ),[1,0],$fot(inverse(multiply(X_19,identity)))]]) ).
cnf(refute_0_169,plain,
( divide(identity,multiply(X_19,identity)) != inverse(multiply(X_19,identity))
| inverse(divide(identity,multiply(X_19,identity))) = inverse(inverse(multiply(X_19,identity))) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,multiply(X_19,identity))),inverse(divide(identity,multiply(X_19,identity)))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
inverse(divide(identity,multiply(X_19,identity))) = inverse(inverse(multiply(X_19,identity))),
inference(resolve,[$cnf( $equal(divide(identity,multiply(X_19,identity)),inverse(multiply(X_19,identity))) )],[refute_0_166,refute_0_169]) ).
cnf(refute_0_171,plain,
( multiply(inverse(divide(X_7,X_19)),X_7) != inverse(divide(identity,multiply(X_19,identity)))
| inverse(divide(identity,multiply(X_19,identity))) != inverse(inverse(multiply(X_19,identity)))
| multiply(inverse(divide(X_7,X_19)),X_7) = inverse(inverse(multiply(X_19,identity))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(divide(X_7,X_19)),X_7),inverse(inverse(multiply(X_19,identity)))) ),[0],$fot(inverse(divide(identity,multiply(X_19,identity))))]]) ).
cnf(refute_0_172,plain,
( multiply(inverse(divide(X_7,X_19)),X_7) != inverse(divide(identity,multiply(X_19,identity)))
| multiply(inverse(divide(X_7,X_19)),X_7) = inverse(inverse(multiply(X_19,identity))) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,multiply(X_19,identity))),inverse(inverse(multiply(X_19,identity)))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
multiply(inverse(divide(X_7,X_19)),X_7) = inverse(inverse(multiply(X_19,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,X_19)),X_7),inverse(divide(identity,multiply(X_19,identity)))) )],[refute_0_165,refute_0_172]) ).
cnf(refute_0_174,plain,
multiply(inverse(divide(inverse(inverse(inverse(inverse(multiply(X_19,identity))))),multiply(X_19,identity))),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) = X_19,
inference(subst,[],[refute_0_160:[bind(X_7,$fot(inverse(inverse(inverse(inverse(multiply(X_19,identity))))))),bind(X_8,$fot(X_19))]]) ).
cnf(refute_0_175,plain,
divide(inverse(inverse(multiply(identity,X_11))),X_11) = identity,
inference(subst,[],[refute_0_113:[bind(X_8,$fot(identity)),bind(X_9,$fot(X_11))]]) ).
cnf(refute_0_176,plain,
inverse(inverse(X_11)) = multiply(identity,X_11),
inference(subst,[],[refute_0_32:[bind(X_3,$fot(X_11))]]) ).
cnf(refute_0_177,plain,
( inverse(inverse(X_11)) != multiply(identity,X_11)
| multiply(identity,X_11) = inverse(inverse(X_11)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(inverse(X_11)))),bind(Y0,$fot(multiply(identity,X_11)))]]) ).
cnf(refute_0_178,plain,
multiply(identity,X_11) = inverse(inverse(X_11)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_11)),multiply(identity,X_11)) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
( multiply(identity,X_11) != inverse(inverse(X_11))
| divide(inverse(inverse(multiply(identity,X_11))),X_11) != identity
| divide(inverse(inverse(inverse(inverse(X_11)))),X_11) = identity ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(multiply(identity,X_11))),X_11),identity) ),[0,0,0,0],$fot(inverse(inverse(X_11)))]]) ).
cnf(refute_0_180,plain,
( divide(inverse(inverse(multiply(identity,X_11))),X_11) != identity
| divide(inverse(inverse(inverse(inverse(X_11)))),X_11) = identity ),
inference(resolve,[$cnf( $equal(multiply(identity,X_11),inverse(inverse(X_11))) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
divide(inverse(inverse(inverse(inverse(X_11)))),X_11) = identity,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(identity,X_11))),X_11),identity) )],[refute_0_175,refute_0_180]) ).
cnf(refute_0_182,plain,
divide(inverse(inverse(inverse(inverse(multiply(X_19,identity))))),multiply(X_19,identity)) = identity,
inference(subst,[],[refute_0_181:[bind(X_11,$fot(multiply(X_19,identity)))]]) ).
cnf(refute_0_183,plain,
( multiply(inverse(divide(inverse(inverse(inverse(inverse(multiply(X_19,identity))))),multiply(X_19,identity))),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) != X_19
| divide(inverse(inverse(inverse(inverse(multiply(X_19,identity))))),multiply(X_19,identity)) != identity
| multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) = X_19 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(inverse(inverse(inverse(inverse(multiply(X_19,identity))))),multiply(X_19,identity))),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))),X_19) ),[0,0,0],$fot(identity)]]) ).
cnf(refute_0_184,plain,
( multiply(inverse(divide(inverse(inverse(inverse(inverse(multiply(X_19,identity))))),multiply(X_19,identity))),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) != X_19
| multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) = X_19 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(inverse(inverse(multiply(X_19,identity))))),multiply(X_19,identity)),identity) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) = X_19,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(inverse(inverse(inverse(inverse(multiply(X_19,identity))))),multiply(X_19,identity))),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))),X_19) )],[refute_0_174,refute_0_184]) ).
cnf(refute_0_186,plain,
divide(inverse(inverse(multiply(inverse(inverse(inverse(inverse(inverse(X_9))))),X_9))),X_9) = inverse(inverse(inverse(inverse(inverse(X_9))))),
inference(subst,[],[refute_0_113:[bind(X_8,$fot(inverse(inverse(inverse(inverse(inverse(X_9)))))))]]) ).
cnf(refute_0_187,plain,
multiply(inverse(inverse(inverse(inverse(inverse(Y))))),Y) = divide(inverse(inverse(inverse(inverse(inverse(Y))))),inverse(Y)),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(inverse(inverse(inverse(inverse(Y)))))))]]) ).
cnf(refute_0_188,plain,
divide(inverse(inverse(inverse(inverse(inverse(Y))))),inverse(Y)) = identity,
inference(subst,[],[refute_0_181:[bind(X_11,$fot(inverse(Y)))]]) ).
cnf(refute_0_189,plain,
( multiply(inverse(inverse(inverse(inverse(inverse(Y))))),Y) != divide(inverse(inverse(inverse(inverse(inverse(Y))))),inverse(Y))
| divide(inverse(inverse(inverse(inverse(inverse(Y))))),inverse(Y)) != identity
| multiply(inverse(inverse(inverse(inverse(inverse(Y))))),Y) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(inverse(inverse(inverse(inverse(Y))))),Y),identity) ),[0],$fot(divide(inverse(inverse(inverse(inverse(inverse(Y))))),inverse(Y)))]]) ).
cnf(refute_0_190,plain,
( multiply(inverse(inverse(inverse(inverse(inverse(Y))))),Y) != divide(inverse(inverse(inverse(inverse(inverse(Y))))),inverse(Y))
| multiply(inverse(inverse(inverse(inverse(inverse(Y))))),Y) = identity ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(inverse(inverse(inverse(Y))))),inverse(Y)),identity) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
multiply(inverse(inverse(inverse(inverse(inverse(Y))))),Y) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(inverse(inverse(Y))))),Y),divide(inverse(inverse(inverse(inverse(inverse(Y))))),inverse(Y))) )],[refute_0_187,refute_0_190]) ).
cnf(refute_0_192,plain,
multiply(inverse(inverse(inverse(inverse(inverse(X_9))))),X_9) = identity,
inference(subst,[],[refute_0_191:[bind(Y,$fot(X_9))]]) ).
cnf(refute_0_193,plain,
( multiply(inverse(inverse(inverse(inverse(inverse(X_9))))),X_9) != identity
| divide(inverse(inverse(multiply(inverse(inverse(inverse(inverse(inverse(X_9))))),X_9))),X_9) != inverse(inverse(inverse(inverse(inverse(X_9)))))
| divide(inverse(inverse(identity)),X_9) = inverse(inverse(inverse(inverse(inverse(X_9))))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(multiply(inverse(inverse(inverse(inverse(inverse(X_9))))),X_9))),X_9),inverse(inverse(inverse(inverse(inverse(X_9)))))) ),[0,0,0,0],$fot(identity)]]) ).
cnf(refute_0_194,plain,
( divide(inverse(inverse(multiply(inverse(inverse(inverse(inverse(inverse(X_9))))),X_9))),X_9) != inverse(inverse(inverse(inverse(inverse(X_9)))))
| divide(inverse(inverse(identity)),X_9) = inverse(inverse(inverse(inverse(inverse(X_9))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(inverse(inverse(X_9))))),X_9),identity) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
divide(inverse(inverse(identity)),X_9) = inverse(inverse(inverse(inverse(inverse(X_9))))),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(inverse(inverse(inverse(inverse(inverse(X_9))))),X_9))),X_9),inverse(inverse(inverse(inverse(inverse(X_9)))))) )],[refute_0_186,refute_0_194]) ).
cnf(refute_0_196,plain,
inverse(inverse(identity)) = inverse(inverse(identity)),
introduced(tautology,[refl,[$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_197,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) != inverse(inverse(identity))
| inverse(inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(identity)),inverse(inverse(identity))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_198,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(inverse(identity))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
inverse(inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_80,refute_0_198]) ).
cnf(refute_0_200,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) != inverse(identity)
| inverse(inverse(identity)) = identity ),
inference(subst,[],[refute_0_57:[bind(X0,$fot(inverse(inverse(identity)))),bind(Y0,$fot(inverse(identity))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_201,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(identity)) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
inverse(inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_80,refute_0_201]) ).
cnf(refute_0_203,plain,
divide(inverse(inverse(identity)),X_9) = divide(inverse(inverse(identity)),X_9),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(identity)),X_9))]]) ).
cnf(refute_0_204,plain,
( divide(inverse(inverse(identity)),X_9) != divide(inverse(inverse(identity)),X_9)
| inverse(inverse(identity)) != identity
| divide(inverse(inverse(identity)),X_9) = divide(identity,X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(identity)),X_9),divide(inverse(inverse(identity)),X_9)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_205,plain,
( inverse(inverse(identity)) != identity
| divide(inverse(inverse(identity)),X_9) = divide(identity,X_9) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(identity)),X_9),divide(inverse(inverse(identity)),X_9)) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
divide(inverse(inverse(identity)),X_9) = divide(identity,X_9),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_202,refute_0_205]) ).
cnf(refute_0_207,plain,
( divide(identity,X_9) != inverse(X_9)
| divide(inverse(inverse(identity)),X_9) != divide(identity,X_9)
| divide(inverse(inverse(identity)),X_9) = inverse(X_9) ),
inference(subst,[],[refute_0_57:[bind(X0,$fot(divide(inverse(inverse(identity)),X_9))),bind(Y0,$fot(divide(identity,X_9))),bind(Z0,$fot(inverse(X_9)))]]) ).
cnf(refute_0_208,plain,
( divide(identity,X_9) != inverse(X_9)
| divide(inverse(inverse(identity)),X_9) = inverse(X_9) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(identity)),X_9),divide(identity,X_9)) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
divide(inverse(inverse(identity)),X_9) = inverse(X_9),
inference(resolve,[$cnf( $equal(divide(identity,X_9),inverse(X_9)) )],[refute_0_87,refute_0_208]) ).
cnf(refute_0_210,plain,
( divide(inverse(inverse(identity)),X_9) != inverse(X_9)
| divide(inverse(inverse(identity)),X_9) != inverse(inverse(inverse(inverse(inverse(X_9)))))
| inverse(X_9) = inverse(inverse(inverse(inverse(inverse(X_9))))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(identity)),X_9),inverse(inverse(inverse(inverse(inverse(X_9)))))) ),[0],$fot(inverse(X_9))]]) ).
cnf(refute_0_211,plain,
( divide(inverse(inverse(identity)),X_9) != inverse(inverse(inverse(inverse(inverse(X_9)))))
| inverse(X_9) = inverse(inverse(inverse(inverse(inverse(X_9))))) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(identity)),X_9),inverse(X_9)) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
inverse(X_9) = inverse(inverse(inverse(inverse(inverse(X_9))))),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(identity)),X_9),inverse(inverse(inverse(inverse(inverse(X_9)))))) )],[refute_0_195,refute_0_211]) ).
cnf(refute_0_213,plain,
( inverse(X_9) != inverse(inverse(inverse(inverse(inverse(X_9)))))
| inverse(inverse(inverse(inverse(inverse(X_9))))) = inverse(X_9) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(X_9))),bind(Y0,$fot(inverse(inverse(inverse(inverse(inverse(X_9)))))))]]) ).
cnf(refute_0_214,plain,
inverse(inverse(inverse(inverse(inverse(X_9))))) = inverse(X_9),
inference(resolve,[$cnf( $equal(inverse(X_9),inverse(inverse(inverse(inverse(inverse(X_9)))))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
inverse(inverse(inverse(inverse(inverse(inverse(multiply(X_19,identity))))))) = inverse(inverse(multiply(X_19,identity))),
inference(subst,[],[refute_0_214:[bind(X_9,$fot(inverse(multiply(X_19,identity))))]]) ).
cnf(refute_0_216,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_217,plain,
multiply(identity,X_3) = inverse(inverse(X_3)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),multiply(identity,X_3)) )],[refute_0_32,refute_0_216]) ).
cnf(refute_0_218,plain,
multiply(identity,inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) = inverse(inverse(inverse(inverse(inverse(inverse(multiply(X_19,identity))))))),
inference(subst,[],[refute_0_217:[bind(X_3,$fot(inverse(inverse(inverse(inverse(multiply(X_19,identity)))))))]]) ).
cnf(refute_0_219,plain,
( multiply(identity,inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) != inverse(inverse(inverse(inverse(inverse(inverse(multiply(X_19,identity)))))))
| inverse(inverse(inverse(inverse(inverse(inverse(multiply(X_19,identity))))))) != inverse(inverse(multiply(X_19,identity)))
| multiply(identity,inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) = inverse(inverse(multiply(X_19,identity))) ),
inference(subst,[],[refute_0_57:[bind(X0,$fot(multiply(identity,inverse(inverse(inverse(inverse(multiply(X_19,identity)))))))),bind(Y0,$fot(inverse(inverse(inverse(inverse(inverse(inverse(multiply(X_19,identity))))))))),bind(Z0,$fot(inverse(inverse(multiply(X_19,identity)))))]]) ).
cnf(refute_0_220,plain,
( inverse(inverse(inverse(inverse(inverse(inverse(multiply(X_19,identity))))))) != inverse(inverse(multiply(X_19,identity)))
| multiply(identity,inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) = inverse(inverse(multiply(X_19,identity))) ),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(inverse(inverse(inverse(multiply(X_19,identity)))))),inverse(inverse(inverse(inverse(inverse(inverse(multiply(X_19,identity)))))))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
multiply(identity,inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) = inverse(inverse(multiply(X_19,identity))),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(inverse(multiply(X_19,identity))))))),inverse(inverse(multiply(X_19,identity)))) )],[refute_0_215,refute_0_220]) ).
cnf(refute_0_222,plain,
multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) = multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))))]]) ).
cnf(refute_0_223,plain,
( multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) != multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity))))))
| inverse(identity) != identity
| multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) = multiply(identity,inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))),multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity))))))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_224,plain,
( inverse(identity) != identity
| multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) = multiply(identity,inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))),multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity))))))) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) = multiply(identity,inverse(inverse(inverse(inverse(multiply(X_19,identity)))))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_80,refute_0_224]) ).
cnf(refute_0_226,plain,
( multiply(identity,inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) != inverse(inverse(multiply(X_19,identity)))
| multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) != multiply(identity,inverse(inverse(inverse(inverse(multiply(X_19,identity))))))
| multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) = inverse(inverse(multiply(X_19,identity))) ),
inference(subst,[],[refute_0_57:[bind(X0,$fot(multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))))),bind(Y0,$fot(multiply(identity,inverse(inverse(inverse(inverse(multiply(X_19,identity)))))))),bind(Z0,$fot(inverse(inverse(multiply(X_19,identity)))))]]) ).
cnf(refute_0_227,plain,
( multiply(identity,inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) != inverse(inverse(multiply(X_19,identity)))
| multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) = inverse(inverse(multiply(X_19,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))),multiply(identity,inverse(inverse(inverse(inverse(multiply(X_19,identity))))))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) = inverse(inverse(multiply(X_19,identity))),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(inverse(inverse(inverse(multiply(X_19,identity)))))),inverse(inverse(multiply(X_19,identity)))) )],[refute_0_221,refute_0_227]) ).
cnf(refute_0_229,plain,
( multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) != X_19
| multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) != inverse(inverse(multiply(X_19,identity)))
| inverse(inverse(multiply(X_19,identity))) = X_19 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))),X_19) ),[0],$fot(inverse(inverse(multiply(X_19,identity))))]]) ).
cnf(refute_0_230,plain,
( multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))) != X_19
| inverse(inverse(multiply(X_19,identity))) = X_19 ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))),inverse(inverse(multiply(X_19,identity)))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
inverse(inverse(multiply(X_19,identity))) = X_19,
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(inverse(inverse(multiply(X_19,identity)))))),X_19) )],[refute_0_185,refute_0_230]) ).
cnf(refute_0_232,plain,
( multiply(inverse(divide(X_7,X_19)),X_7) != inverse(inverse(multiply(X_19,identity)))
| inverse(inverse(multiply(X_19,identity))) != X_19
| multiply(inverse(divide(X_7,X_19)),X_7) = X_19 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(divide(X_7,X_19)),X_7),X_19) ),[0],$fot(inverse(inverse(multiply(X_19,identity))))]]) ).
cnf(refute_0_233,plain,
( multiply(inverse(divide(X_7,X_19)),X_7) != inverse(inverse(multiply(X_19,identity)))
| multiply(inverse(divide(X_7,X_19)),X_7) = X_19 ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_19,identity))),X_19) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
multiply(inverse(divide(X_7,X_19)),X_7) = X_19,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,X_19)),X_7),inverse(inverse(multiply(X_19,identity)))) )],[refute_0_173,refute_0_233]) ).
cnf(refute_0_235,plain,
multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) = multiply(X_8,identity),
inference(subst,[],[refute_0_234:[bind(X_19,$fot(multiply(X_8,identity)))]]) ).
cnf(refute_0_236,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_237,plain,
( multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) != X_8
| multiply(X_8,identity) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7),multiply(X_8,identity)) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
multiply(X_8,identity) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7),X_8) )],[refute_0_160,refute_0_237]) ).
cnf(refute_0_239,plain,
multiply(inverse(inverse(X_13)),identity) = inverse(inverse(X_13)),
inference(subst,[],[refute_0_238:[bind(X_8,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_240,plain,
( multiply(inverse(inverse(X_13)),identity) != inverse(inverse(X_13))
| multiply(inverse(inverse(X_13)),identity) != inverse(inverse(multiply(X_13,identity)))
| inverse(inverse(X_13)) = inverse(inverse(multiply(X_13,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_13)),identity),inverse(inverse(multiply(X_13,identity)))) ),[0],$fot(inverse(inverse(X_13)))]]) ).
cnf(refute_0_241,plain,
( multiply(inverse(inverse(X_13)),identity) != inverse(inverse(multiply(X_13,identity)))
| inverse(inverse(X_13)) = inverse(inverse(multiply(X_13,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),identity),inverse(inverse(X_13))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
inverse(inverse(multiply(X_13,identity))) = X_13,
inference(subst,[],[refute_0_231:[bind(X_19,$fot(X_13))]]) ).
cnf(refute_0_243,plain,
( inverse(inverse(X_13)) != inverse(inverse(multiply(X_13,identity)))
| inverse(inverse(multiply(X_13,identity))) != X_13
| inverse(inverse(X_13)) = X_13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(inverse(X_13)),X_13) ),[0],$fot(inverse(inverse(multiply(X_13,identity))))]]) ).
cnf(refute_0_244,plain,
( inverse(inverse(X_13)) != inverse(inverse(multiply(X_13,identity)))
| inverse(inverse(X_13)) = X_13 ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_13,identity))),X_13) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
( multiply(inverse(inverse(X_13)),identity) != inverse(inverse(multiply(X_13,identity)))
| inverse(inverse(X_13)) = X_13 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),inverse(inverse(multiply(X_13,identity)))) )],[refute_0_241,refute_0_244]) ).
cnf(refute_0_246,plain,
inverse(inverse(X_13)) = X_13,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),identity),inverse(inverse(multiply(X_13,identity)))) )],[refute_0_133,refute_0_245]) ).
cnf(refute_0_247,plain,
inverse(inverse(X_3)) = X_3,
inference(subst,[],[refute_0_246:[bind(X_13,$fot(X_3))]]) ).
cnf(refute_0_248,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_249,plain,
( inverse(inverse(X_3)) != multiply(identity,X_3)
| X_3 = multiply(identity,X_3) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),X_3) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
X_3 = multiply(identity,X_3),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),multiply(identity,X_3)) )],[refute_0_32,refute_0_249]) ).
cnf(refute_0_251,plain,
( X_3 != multiply(identity,X_3)
| multiply(identity,X_3) = X_3 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_3)),bind(Y0,$fot(multiply(identity,X_3)))]]) ).
cnf(refute_0_252,plain,
multiply(identity,X_3) = X_3,
inference(resolve,[$cnf( $equal(X_3,multiply(identity,X_3)) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
multiply(identity,a2) = a2,
inference(subst,[],[refute_0_252:[bind(X_3,$fot(a2))]]) ).
cnf(refute_0_254,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_255,plain,
( a2 != a2
| multiply(identity,a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_255,refute_0_25]) ).
cnf(refute_0_257,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_258,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| identity != identity ),
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_257,refute_0_256]) ).
cnf(refute_0_259,plain,
identity = identity,
introduced(tautology,[refl,[$fot(identity)]]) ).
cnf(refute_0_260,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(identity,identity) )],[refute_0_259,refute_0_258]) ).
cnf(refute_0_261,plain,
multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) = divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),inverse(Y)),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))))))]]) ).
cnf(refute_0_262,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,$fot(inverse(Y)))]]) ).
cnf(refute_0_263,plain,
( multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) != divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),inverse(Y))
| divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),inverse(Y)) != X_8
| multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) = X_8 ),
introduced(tautology,[equality,[$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_264,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( $equal(divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),inverse(Y)),X_8) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),inverse(Y))) )],[refute_0_261,refute_0_264]) ).
cnf(refute_0_266,plain,
divide(inverse(X_7),inverse(Y)) = multiply(inverse(X_7),Y),
inference(subst,[],[refute_0_85:[bind(X,$fot(inverse(X_7)))]]) ).
cnf(refute_0_267,plain,
divide(X_8,divide(inverse(X_7),inverse(Y))) = divide(X_8,divide(inverse(X_7),inverse(Y))),
introduced(tautology,[refl,[$fot(divide(X_8,divide(inverse(X_7),inverse(Y))))]]) ).
cnf(refute_0_268,plain,
( divide(X_8,divide(inverse(X_7),inverse(Y))) != divide(X_8,divide(inverse(X_7),inverse(Y)))
| divide(inverse(X_7),inverse(Y)) != multiply(inverse(X_7),Y)
| divide(X_8,divide(inverse(X_7),inverse(Y))) = divide(X_8,multiply(inverse(X_7),Y)) ),
introduced(tautology,[equality,[$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_269,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( $equal(divide(X_8,divide(inverse(X_7),inverse(Y))),divide(X_8,divide(inverse(X_7),inverse(Y)))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
divide(X_8,divide(inverse(X_7),inverse(Y))) = divide(X_8,multiply(inverse(X_7),Y)),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),inverse(Y)),multiply(inverse(X_7),Y)) )],[refute_0_266,refute_0_269]) ).
cnf(refute_0_271,plain,
divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))) = divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))),
introduced(tautology,[refl,[$fot(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))))]]) ).
cnf(refute_0_272,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_273,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( $equal(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))),divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))) = divide(X_7,divide(X_8,multiply(inverse(X_7),Y))),
inference(resolve,[$cnf( $equal(divide(X_8,divide(inverse(X_7),inverse(Y))),divide(X_8,multiply(inverse(X_7),Y))) )],[refute_0_270,refute_0_273]) ).
cnf(refute_0_275,plain,
inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))) = inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),
introduced(tautology,[refl,[$fot(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))))]]) ).
cnf(refute_0_276,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_277,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( $equal(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))) = inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),
inference(resolve,[$cnf( $equal(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y)))),divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))) )],[refute_0_274,refute_0_277]) ).
cnf(refute_0_279,plain,
multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) = multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y),
introduced(tautology,[refl,[$fot(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y))]]) ).
cnf(refute_0_280,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_281,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( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y),multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y)) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) = multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y))))) )],[refute_0_278,refute_0_281]) ).
cnf(refute_0_283,plain,
( multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) != X_8
| multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y) != multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y)
| multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y) = X_8 ),
introduced(tautology,[equality,[$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_284,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( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y),multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y)) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(Y))))),Y),X_8) )],[refute_0_265,refute_0_284]) ).
cnf(refute_0_286,plain,
divide(inverse(inverse(multiply(inverse(divide(X_9,multiply(X_19,identity))),X_9))),X_9) = inverse(divide(X_9,multiply(X_19,identity))),
inference(subst,[],[refute_0_113:[bind(X_8,$fot(inverse(divide(X_9,multiply(X_19,identity)))))]]) ).
cnf(refute_0_287,plain,
multiply(inverse(divide(X_9,multiply(X_19,identity))),X_9) = X_19,
inference(subst,[],[refute_0_160:[bind(X_7,$fot(X_9)),bind(X_8,$fot(X_19))]]) ).
cnf(refute_0_288,plain,
( multiply(inverse(divide(X_9,multiply(X_19,identity))),X_9) != X_19
| divide(inverse(inverse(multiply(inverse(divide(X_9,multiply(X_19,identity))),X_9))),X_9) != inverse(divide(X_9,multiply(X_19,identity)))
| divide(inverse(inverse(X_19)),X_9) = inverse(divide(X_9,multiply(X_19,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(multiply(inverse(divide(X_9,multiply(X_19,identity))),X_9))),X_9),inverse(divide(X_9,multiply(X_19,identity)))) ),[0,0,0,0],$fot(X_19)]]) ).
cnf(refute_0_289,plain,
( divide(inverse(inverse(multiply(inverse(divide(X_9,multiply(X_19,identity))),X_9))),X_9) != inverse(divide(X_9,multiply(X_19,identity)))
| divide(inverse(inverse(X_19)),X_9) = inverse(divide(X_9,multiply(X_19,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_9,multiply(X_19,identity))),X_9),X_19) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
divide(inverse(inverse(X_19)),X_9) = inverse(divide(X_9,multiply(X_19,identity))),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(inverse(divide(X_9,multiply(X_19,identity))),X_9))),X_9),inverse(divide(X_9,multiply(X_19,identity)))) )],[refute_0_286,refute_0_289]) ).
cnf(refute_0_291,plain,
inverse(inverse(X_19)) = X_19,
inference(subst,[],[refute_0_246:[bind(X_13,$fot(X_19))]]) ).
cnf(refute_0_292,plain,
divide(inverse(inverse(X_19)),X_9) = divide(inverse(inverse(X_19)),X_9),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(X_19)),X_9))]]) ).
cnf(refute_0_293,plain,
( divide(inverse(inverse(X_19)),X_9) != divide(inverse(inverse(X_19)),X_9)
| inverse(inverse(X_19)) != X_19
| divide(inverse(inverse(X_19)),X_9) = divide(X_19,X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_19)),X_9),divide(inverse(inverse(X_19)),X_9)) ),[1,0],$fot(X_19)]]) ).
cnf(refute_0_294,plain,
( inverse(inverse(X_19)) != X_19
| divide(inverse(inverse(X_19)),X_9) = divide(X_19,X_9) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_19)),X_9),divide(inverse(inverse(X_19)),X_9)) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
divide(inverse(inverse(X_19)),X_9) = divide(X_19,X_9),
inference(resolve,[$cnf( $equal(inverse(inverse(X_19)),X_19) )],[refute_0_291,refute_0_294]) ).
cnf(refute_0_296,plain,
( divide(inverse(inverse(X_19)),X_9) != divide(X_19,X_9)
| divide(inverse(inverse(X_19)),X_9) != inverse(divide(X_9,multiply(X_19,identity)))
| divide(X_19,X_9) = inverse(divide(X_9,multiply(X_19,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_19)),X_9),inverse(divide(X_9,multiply(X_19,identity)))) ),[0],$fot(divide(X_19,X_9))]]) ).
cnf(refute_0_297,plain,
( divide(inverse(inverse(X_19)),X_9) != inverse(divide(X_9,multiply(X_19,identity)))
| divide(X_19,X_9) = inverse(divide(X_9,multiply(X_19,identity))) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_19)),X_9),divide(X_19,X_9)) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
multiply(X_19,identity) = X_19,
inference(subst,[],[refute_0_238:[bind(X_8,$fot(X_19))]]) ).
cnf(refute_0_299,plain,
divide(X_9,multiply(X_19,identity)) = divide(X_9,multiply(X_19,identity)),
introduced(tautology,[refl,[$fot(divide(X_9,multiply(X_19,identity)))]]) ).
cnf(refute_0_300,plain,
( multiply(X_19,identity) != X_19
| divide(X_9,multiply(X_19,identity)) != divide(X_9,multiply(X_19,identity))
| divide(X_9,multiply(X_19,identity)) = divide(X_9,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_9,multiply(X_19,identity)),divide(X_9,multiply(X_19,identity))) ),[1,1],$fot(X_19)]]) ).
cnf(refute_0_301,plain,
( multiply(X_19,identity) != X_19
| divide(X_9,multiply(X_19,identity)) = divide(X_9,X_19) ),
inference(resolve,[$cnf( $equal(divide(X_9,multiply(X_19,identity)),divide(X_9,multiply(X_19,identity))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
divide(X_9,multiply(X_19,identity)) = divide(X_9,X_19),
inference(resolve,[$cnf( $equal(multiply(X_19,identity),X_19) )],[refute_0_298,refute_0_301]) ).
cnf(refute_0_303,plain,
inverse(divide(X_9,multiply(X_19,identity))) = inverse(divide(X_9,multiply(X_19,identity))),
introduced(tautology,[refl,[$fot(inverse(divide(X_9,multiply(X_19,identity))))]]) ).
cnf(refute_0_304,plain,
( divide(X_9,multiply(X_19,identity)) != divide(X_9,X_19)
| inverse(divide(X_9,multiply(X_19,identity))) != inverse(divide(X_9,multiply(X_19,identity)))
| inverse(divide(X_9,multiply(X_19,identity))) = inverse(divide(X_9,X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_9,multiply(X_19,identity))),inverse(divide(X_9,multiply(X_19,identity)))) ),[1,0],$fot(divide(X_9,X_19))]]) ).
cnf(refute_0_305,plain,
( divide(X_9,multiply(X_19,identity)) != divide(X_9,X_19)
| inverse(divide(X_9,multiply(X_19,identity))) = inverse(divide(X_9,X_19)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_9,multiply(X_19,identity))),inverse(divide(X_9,multiply(X_19,identity)))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
inverse(divide(X_9,multiply(X_19,identity))) = inverse(divide(X_9,X_19)),
inference(resolve,[$cnf( $equal(divide(X_9,multiply(X_19,identity)),divide(X_9,X_19)) )],[refute_0_302,refute_0_305]) ).
cnf(refute_0_307,plain,
( divide(X_19,X_9) != inverse(divide(X_9,multiply(X_19,identity)))
| inverse(divide(X_9,multiply(X_19,identity))) != inverse(divide(X_9,X_19))
| divide(X_19,X_9) = inverse(divide(X_9,X_19)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_19,X_9),inverse(divide(X_9,X_19))) ),[0],$fot(inverse(divide(X_9,multiply(X_19,identity))))]]) ).
cnf(refute_0_308,plain,
( divide(X_19,X_9) != inverse(divide(X_9,multiply(X_19,identity)))
| divide(X_19,X_9) = inverse(divide(X_9,X_19)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_9,multiply(X_19,identity))),inverse(divide(X_9,X_19))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
( divide(inverse(inverse(X_19)),X_9) != inverse(divide(X_9,multiply(X_19,identity)))
| divide(X_19,X_9) = inverse(divide(X_9,X_19)) ),
inference(resolve,[$cnf( $equal(divide(X_19,X_9),inverse(divide(X_9,multiply(X_19,identity)))) )],[refute_0_297,refute_0_308]) ).
cnf(refute_0_310,plain,
divide(X_19,X_9) = inverse(divide(X_9,X_19)),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_19)),X_9),inverse(divide(X_9,multiply(X_19,identity)))) )],[refute_0_290,refute_0_309]) ).
cnf(refute_0_311,plain,
( divide(X_19,X_9) != inverse(divide(X_9,X_19))
| inverse(divide(X_9,X_19)) = divide(X_19,X_9) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(divide(X_19,X_9))),bind(Y0,$fot(inverse(divide(X_9,X_19))))]]) ).
cnf(refute_0_312,plain,
inverse(divide(X_9,X_19)) = divide(X_19,X_9),
inference(resolve,[$cnf( $equal(divide(X_19,X_9),inverse(divide(X_9,X_19))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))) = divide(divide(X_8,multiply(inverse(X_7),Y)),X_7),
inference(subst,[],[refute_0_312:[bind(X_19,$fot(divide(X_8,multiply(inverse(X_7),Y)))),bind(X_9,$fot(X_7))]]) ).
cnf(refute_0_314,plain,
multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y) = multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y),
introduced(tautology,[refl,[$fot(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y))]]) ).
cnf(refute_0_315,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_316,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( $equal(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y),multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y)) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y) = multiply(divide(divide(X_8,multiply(inverse(X_7),Y)),X_7),Y),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),divide(divide(X_8,multiply(inverse(X_7),Y)),X_7)) )],[refute_0_313,refute_0_316]) ).
cnf(refute_0_318,plain,
( multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y) != X_8
| multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y) != multiply(divide(divide(X_8,multiply(inverse(X_7),Y)),X_7),Y)
| multiply(divide(divide(X_8,multiply(inverse(X_7),Y)),X_7),Y) = X_8 ),
introduced(tautology,[equality,[$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_319,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( $equal(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y),multiply(divide(divide(X_8,multiply(inverse(X_7),Y)),X_7),Y)) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
multiply(divide(divide(X_8,multiply(inverse(X_7),Y)),X_7),Y) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),Y)))),Y),X_8) )],[refute_0_285,refute_0_319]) ).
cnf(refute_0_321,plain,
multiply(divide(divide(X_29,multiply(inverse(inverse(Y)),X_27)),inverse(Y)),X_27) = X_29,
inference(subst,[],[refute_0_320:[bind(Y,$fot(X_27)),bind(X_7,$fot(inverse(Y))),bind(X_8,$fot(X_29))]]) ).
cnf(refute_0_322,plain,
multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y) = divide(divide(X_29,multiply(inverse(inverse(Y)),X_27)),inverse(Y)),
inference(subst,[],[refute_0_13:[bind(X,$fot(divide(X_29,multiply(inverse(inverse(Y)),X_27))))]]) ).
cnf(refute_0_323,plain,
( multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y) != divide(divide(X_29,multiply(inverse(inverse(Y)),X_27)),inverse(Y))
| divide(divide(X_29,multiply(inverse(inverse(Y)),X_27)),inverse(Y)) = multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y))),bind(Y0,$fot(divide(divide(X_29,multiply(inverse(inverse(Y)),X_27)),inverse(Y))))]]) ).
cnf(refute_0_324,plain,
divide(divide(X_29,multiply(inverse(inverse(Y)),X_27)),inverse(Y)) = multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),
inference(resolve,[$cnf( $equal(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),divide(divide(X_29,multiply(inverse(inverse(Y)),X_27)),inverse(Y))) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
( multiply(divide(divide(X_29,multiply(inverse(inverse(Y)),X_27)),inverse(Y)),X_27) != X_29
| divide(divide(X_29,multiply(inverse(inverse(Y)),X_27)),inverse(Y)) != multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y)
| multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27) = X_29 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(divide(X_29,multiply(inverse(inverse(Y)),X_27)),inverse(Y)),X_27),X_29) ),[0,0],$fot(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y))]]) ).
cnf(refute_0_326,plain,
( multiply(divide(divide(X_29,multiply(inverse(inverse(Y)),X_27)),inverse(Y)),X_27) != X_29
| multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27) = X_29 ),
inference(resolve,[$cnf( $equal(divide(divide(X_29,multiply(inverse(inverse(Y)),X_27)),inverse(Y)),multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y)) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27) = X_29,
inference(resolve,[$cnf( $equal(multiply(divide(divide(X_29,multiply(inverse(inverse(Y)),X_27)),inverse(Y)),X_27),X_29) )],[refute_0_321,refute_0_326]) ).
cnf(refute_0_328,plain,
inverse(inverse(Y)) = Y,
inference(subst,[],[refute_0_246:[bind(X_13,$fot(Y))]]) ).
cnf(refute_0_329,plain,
multiply(inverse(inverse(Y)),X_27) = multiply(inverse(inverse(Y)),X_27),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(Y)),X_27))]]) ).
cnf(refute_0_330,plain,
( multiply(inverse(inverse(Y)),X_27) != multiply(inverse(inverse(Y)),X_27)
| inverse(inverse(Y)) != Y
| multiply(inverse(inverse(Y)),X_27) = multiply(Y,X_27) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(Y)),X_27),multiply(inverse(inverse(Y)),X_27)) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_331,plain,
( inverse(inverse(Y)) != Y
| multiply(inverse(inverse(Y)),X_27) = multiply(Y,X_27) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),X_27),multiply(inverse(inverse(Y)),X_27)) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
multiply(inverse(inverse(Y)),X_27) = multiply(Y,X_27),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_328,refute_0_331]) ).
cnf(refute_0_333,plain,
divide(X_29,multiply(inverse(inverse(Y)),X_27)) = divide(X_29,multiply(inverse(inverse(Y)),X_27)),
introduced(tautology,[refl,[$fot(divide(X_29,multiply(inverse(inverse(Y)),X_27)))]]) ).
cnf(refute_0_334,plain,
( multiply(inverse(inverse(Y)),X_27) != multiply(Y,X_27)
| divide(X_29,multiply(inverse(inverse(Y)),X_27)) != divide(X_29,multiply(inverse(inverse(Y)),X_27))
| divide(X_29,multiply(inverse(inverse(Y)),X_27)) = divide(X_29,multiply(Y,X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_29,multiply(inverse(inverse(Y)),X_27)),divide(X_29,multiply(inverse(inverse(Y)),X_27))) ),[1,1],$fot(multiply(Y,X_27))]]) ).
cnf(refute_0_335,plain,
( multiply(inverse(inverse(Y)),X_27) != multiply(Y,X_27)
| divide(X_29,multiply(inverse(inverse(Y)),X_27)) = divide(X_29,multiply(Y,X_27)) ),
inference(resolve,[$cnf( $equal(divide(X_29,multiply(inverse(inverse(Y)),X_27)),divide(X_29,multiply(inverse(inverse(Y)),X_27))) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
divide(X_29,multiply(inverse(inverse(Y)),X_27)) = divide(X_29,multiply(Y,X_27)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),X_27),multiply(Y,X_27)) )],[refute_0_332,refute_0_335]) ).
cnf(refute_0_337,plain,
multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y) = multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),
introduced(tautology,[refl,[$fot(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y))]]) ).
cnf(refute_0_338,plain,
( multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y) != multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y)
| divide(X_29,multiply(inverse(inverse(Y)),X_27)) != divide(X_29,multiply(Y,X_27))
| multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y) = multiply(divide(X_29,multiply(Y,X_27)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y)) ),[1,0],$fot(divide(X_29,multiply(Y,X_27)))]]) ).
cnf(refute_0_339,plain,
( divide(X_29,multiply(inverse(inverse(Y)),X_27)) != divide(X_29,multiply(Y,X_27))
| multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y) = multiply(divide(X_29,multiply(Y,X_27)),Y) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y)) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y) = multiply(divide(X_29,multiply(Y,X_27)),Y),
inference(resolve,[$cnf( $equal(divide(X_29,multiply(inverse(inverse(Y)),X_27)),divide(X_29,multiply(Y,X_27))) )],[refute_0_336,refute_0_339]) ).
cnf(refute_0_341,plain,
multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27) = multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27),
introduced(tautology,[refl,[$fot(multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27))]]) ).
cnf(refute_0_342,plain,
( multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27) != multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27)
| multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y) != multiply(divide(X_29,multiply(Y,X_27)),Y)
| multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27) = multiply(multiply(divide(X_29,multiply(Y,X_27)),Y),X_27) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27),multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27)) ),[1,0],$fot(multiply(divide(X_29,multiply(Y,X_27)),Y))]]) ).
cnf(refute_0_343,plain,
( multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y) != multiply(divide(X_29,multiply(Y,X_27)),Y)
| multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27) = multiply(multiply(divide(X_29,multiply(Y,X_27)),Y),X_27) ),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27),multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27)) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27) = multiply(multiply(divide(X_29,multiply(Y,X_27)),Y),X_27),
inference(resolve,[$cnf( $equal(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),multiply(divide(X_29,multiply(Y,X_27)),Y)) )],[refute_0_340,refute_0_343]) ).
cnf(refute_0_345,plain,
( multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27) != X_29
| multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27) != multiply(multiply(divide(X_29,multiply(Y,X_27)),Y),X_27)
| multiply(multiply(divide(X_29,multiply(Y,X_27)),Y),X_27) = X_29 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27),X_29) ),[0],$fot(multiply(multiply(divide(X_29,multiply(Y,X_27)),Y),X_27))]]) ).
cnf(refute_0_346,plain,
( multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27) != X_29
| multiply(multiply(divide(X_29,multiply(Y,X_27)),Y),X_27) = X_29 ),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27),multiply(multiply(divide(X_29,multiply(Y,X_27)),Y),X_27)) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
multiply(multiply(divide(X_29,multiply(Y,X_27)),Y),X_27) = X_29,
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_29,multiply(inverse(inverse(Y)),X_27)),Y),X_27),X_29) )],[refute_0_327,refute_0_346]) ).
cnf(refute_0_348,plain,
multiply(multiply(divide(multiply(X_8,multiply(X_47,X_48)),multiply(X_47,X_48)),X_47),X_48) = multiply(X_8,multiply(X_47,X_48)),
inference(subst,[],[refute_0_347:[bind(Y,$fot(X_47)),bind(X_27,$fot(X_48)),bind(X_29,$fot(multiply(X_8,multiply(X_47,X_48))))]]) ).
cnf(refute_0_349,plain,
inverse(inverse(multiply(X_8,X_9))) = multiply(X_8,X_9),
inference(subst,[],[refute_0_246:[bind(X_13,$fot(multiply(X_8,X_9)))]]) ).
cnf(refute_0_350,plain,
divide(inverse(inverse(multiply(X_8,X_9))),X_9) = divide(inverse(inverse(multiply(X_8,X_9))),X_9),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(multiply(X_8,X_9))),X_9))]]) ).
cnf(refute_0_351,plain,
( divide(inverse(inverse(multiply(X_8,X_9))),X_9) != divide(inverse(inverse(multiply(X_8,X_9))),X_9)
| inverse(inverse(multiply(X_8,X_9))) != multiply(X_8,X_9)
| divide(inverse(inverse(multiply(X_8,X_9))),X_9) = divide(multiply(X_8,X_9),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(multiply(X_8,X_9))),X_9),divide(inverse(inverse(multiply(X_8,X_9))),X_9)) ),[1,0],$fot(multiply(X_8,X_9))]]) ).
cnf(refute_0_352,plain,
( inverse(inverse(multiply(X_8,X_9))) != multiply(X_8,X_9)
| divide(inverse(inverse(multiply(X_8,X_9))),X_9) = divide(multiply(X_8,X_9),X_9) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(X_8,X_9))),X_9),divide(inverse(inverse(multiply(X_8,X_9))),X_9)) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
divide(inverse(inverse(multiply(X_8,X_9))),X_9) = divide(multiply(X_8,X_9),X_9),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_8,X_9))),multiply(X_8,X_9)) )],[refute_0_349,refute_0_352]) ).
cnf(refute_0_354,plain,
( divide(inverse(inverse(multiply(X_8,X_9))),X_9) != X_8
| divide(inverse(inverse(multiply(X_8,X_9))),X_9) != divide(multiply(X_8,X_9),X_9)
| divide(multiply(X_8,X_9),X_9) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(multiply(X_8,X_9))),X_9),X_8) ),[0],$fot(divide(multiply(X_8,X_9),X_9))]]) ).
cnf(refute_0_355,plain,
( divide(inverse(inverse(multiply(X_8,X_9))),X_9) != X_8
| divide(multiply(X_8,X_9),X_9) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(X_8,X_9))),X_9),divide(multiply(X_8,X_9),X_9)) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
divide(multiply(X_8,X_9),X_9) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(X_8,X_9))),X_9),X_8) )],[refute_0_113,refute_0_355]) ).
cnf(refute_0_357,plain,
divide(multiply(X_8,multiply(X_47,X_48)),multiply(X_47,X_48)) = X_8,
inference(subst,[],[refute_0_356:[bind(X_9,$fot(multiply(X_47,X_48)))]]) ).
cnf(refute_0_358,plain,
( multiply(multiply(divide(multiply(X_8,multiply(X_47,X_48)),multiply(X_47,X_48)),X_47),X_48) != multiply(X_8,multiply(X_47,X_48))
| divide(multiply(X_8,multiply(X_47,X_48)),multiply(X_47,X_48)) != X_8
| multiply(multiply(X_8,X_47),X_48) = multiply(X_8,multiply(X_47,X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(divide(multiply(X_8,multiply(X_47,X_48)),multiply(X_47,X_48)),X_47),X_48),multiply(X_8,multiply(X_47,X_48))) ),[0,0,0],$fot(X_8)]]) ).
cnf(refute_0_359,plain,
( multiply(multiply(divide(multiply(X_8,multiply(X_47,X_48)),multiply(X_47,X_48)),X_47),X_48) != multiply(X_8,multiply(X_47,X_48))
| multiply(multiply(X_8,X_47),X_48) = multiply(X_8,multiply(X_47,X_48)) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_8,multiply(X_47,X_48)),multiply(X_47,X_48)),X_8) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
multiply(multiply(X_8,X_47),X_48) = multiply(X_8,multiply(X_47,X_48)),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(multiply(X_8,multiply(X_47,X_48)),multiply(X_47,X_48)),X_47),X_48),multiply(X_8,multiply(X_47,X_48))) )],[refute_0_348,refute_0_359]) ).
cnf(refute_0_361,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_360:[bind(X_47,$fot(b3)),bind(X_48,$fot(c3)),bind(X_8,$fot(a3))]]) ).
cnf(refute_0_362,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_363,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_363,refute_0_260]) ).
cnf(refute_0_365,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_366,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_365,refute_0_364]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP067-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.04/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 01:03:02 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.40
% 0.21/0.40 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.21/0.49
%------------------------------------------------------------------------------