%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP092-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:34:40 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 99
% Syntax : Number of clauses : 425 ( 220 unt; 0 nHn; 235 RR)
% Number of literals : 728 ( 727 equ; 311 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 781 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(X,Y),divide(divide(X,Z),Y)) = Z ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)) ).
cnf(inverse,axiom,
inverse(X) = divide(divide(Z,Z),X) ).
cnf(identity,axiom,
identity = divide(X,X) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ) ).
cnf(refute_0_0,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_1,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_2,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( identity != divide(X,X)
| divide(X,X) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(X,X)))]]) ).
cnf(refute_0_4,plain,
divide(X,X) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X,X)) )],[identity,refute_0_3]) ).
cnf(refute_0_5,plain,
divide(a1,a1) = identity,
inference(subst,[],[refute_0_4:[bind(X,$fot(a1))]]) ).
cnf(refute_0_6,plain,
( inverse(X) != divide(divide(Z,Z),X)
| divide(divide(Z,Z),X) = inverse(X) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X))),bind(Y0,$fot(divide(divide(Z,Z),X)))]]) ).
cnf(refute_0_7,plain,
divide(divide(Z,Z),X) = inverse(X),
inference(resolve,[$cnf( $equal(inverse(X),divide(divide(Z,Z),X)) )],[inverse,refute_0_6]) ).
cnf(refute_0_8,plain,
divide(divide(Z,Z),Y) = inverse(Y),
inference(subst,[],[refute_0_7:[bind(X,$fot(Y))]]) ).
cnf(refute_0_9,plain,
divide(X,divide(divide(Z,Z),Y)) = divide(X,divide(divide(Z,Z),Y)),
introduced(tautology,[refl,[$fot(divide(X,divide(divide(Z,Z),Y)))]]) ).
cnf(refute_0_10,plain,
( divide(X,divide(divide(Z,Z),Y)) != divide(X,divide(divide(Z,Z),Y))
| divide(divide(Z,Z),Y) != inverse(Y)
| divide(X,divide(divide(Z,Z),Y)) = divide(X,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(divide(Z,Z),Y)),divide(X,divide(divide(Z,Z),Y))) ),[1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_11,plain,
( divide(divide(Z,Z),Y) != inverse(Y)
| divide(X,divide(divide(Z,Z),Y)) = divide(X,inverse(Y)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(Z,Z),Y)),divide(X,divide(divide(Z,Z),Y))) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
divide(X,divide(divide(Z,Z),Y)) = divide(X,inverse(Y)),
inference(resolve,[$cnf( $equal(divide(divide(Z,Z),Y),inverse(Y)) )],[refute_0_8,refute_0_11]) ).
cnf(refute_0_13,plain,
( multiply(X,Y) != divide(X,divide(divide(Z,Z),Y))
| divide(X,divide(divide(Z,Z),Y)) != divide(X,inverse(Y))
| multiply(X,Y) = divide(X,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,Y),divide(X,inverse(Y))) ),[0],$fot(divide(X,divide(divide(Z,Z),Y)))]]) ).
cnf(refute_0_14,plain,
( multiply(X,Y) != divide(X,divide(divide(Z,Z),Y))
| multiply(X,Y) = divide(X,inverse(Y)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(Z,Z),Y)),divide(X,inverse(Y))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
multiply(X,Y) = divide(X,inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,divide(divide(Z,Z),Y))) )],[multiply,refute_0_14]) ).
cnf(refute_0_16,plain,
multiply(X_23,inverse(X_16)) = divide(X_23,inverse(inverse(X_16))),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_23)),bind(Y,$fot(inverse(X_16)))]]) ).
cnf(refute_0_17,plain,
divide(divide(X_3,X_3),divide(divide(X_3,X_4),X_3)) = X_4,
inference(subst,[],[single_axiom:[bind(X,$fot(X_3)),bind(Y,$fot(X_3)),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_18,plain,
identity = divide(X_3,X_3),
inference(subst,[],[identity:[bind(X,$fot(X_3))]]) ).
cnf(refute_0_19,plain,
( identity != divide(X_3,X_3)
| divide(X_3,X_3) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(X_3,X_3)))]]) ).
cnf(refute_0_20,plain,
divide(X_3,X_3) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_3,X_3)) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( divide(X_3,X_3) != identity
| divide(divide(X_3,X_3),divide(divide(X_3,X_4),X_3)) != X_4
| divide(identity,divide(divide(X_3,X_4),X_3)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_3,X_3),divide(divide(X_3,X_4),X_3)),X_4) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_22,plain,
( divide(divide(X_3,X_3),divide(divide(X_3,X_4),X_3)) != X_4
| divide(identity,divide(divide(X_3,X_4),X_3)) = X_4 ),
inference(resolve,[$cnf( $equal(divide(X_3,X_3),identity) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
divide(identity,divide(divide(X_3,X_4),X_3)) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(X_3,X_3),divide(divide(X_3,X_4),X_3)),X_4) )],[refute_0_17,refute_0_22]) ).
cnf(refute_0_24,plain,
divide(Z,Z) = identity,
inference(subst,[],[refute_0_4:[bind(X,$fot(Z))]]) ).
cnf(refute_0_25,plain,
divide(divide(Z,Z),X) = divide(divide(Z,Z),X),
introduced(tautology,[refl,[$fot(divide(divide(Z,Z),X))]]) ).
cnf(refute_0_26,plain,
( divide(Z,Z) != identity
| divide(divide(Z,Z),X) != divide(divide(Z,Z),X)
| divide(divide(Z,Z),X) = divide(identity,X) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(Z,Z),X),divide(divide(Z,Z),X)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_27,plain,
( divide(Z,Z) != identity
| divide(divide(Z,Z),X) = divide(identity,X) ),
inference(resolve,[$cnf( $equal(divide(divide(Z,Z),X),divide(divide(Z,Z),X)) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
divide(divide(Z,Z),X) = divide(identity,X),
inference(resolve,[$cnf( $equal(divide(Z,Z),identity) )],[refute_0_24,refute_0_27]) ).
cnf(refute_0_29,plain,
( divide(divide(Z,Z),X) != divide(identity,X)
| inverse(X) != divide(divide(Z,Z),X)
| inverse(X) = divide(identity,X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),divide(divide(Z,Z),X)) ),[1],$fot(divide(identity,X))]]) ).
cnf(refute_0_30,plain,
( inverse(X) != divide(divide(Z,Z),X)
| inverse(X) = divide(identity,X) ),
inference(resolve,[$cnf( $equal(divide(divide(Z,Z),X),divide(identity,X)) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
inverse(X) = divide(identity,X),
inference(resolve,[$cnf( $equal(inverse(X),divide(divide(Z,Z),X)) )],[inverse,refute_0_30]) ).
cnf(refute_0_32,plain,
( inverse(X) != divide(identity,X)
| divide(identity,X) = inverse(X) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X))),bind(Y0,$fot(divide(identity,X)))]]) ).
cnf(refute_0_33,plain,
divide(identity,X) = inverse(X),
inference(resolve,[$cnf( $equal(inverse(X),divide(identity,X)) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
divide(identity,divide(divide(X_3,X_4),X_3)) = inverse(divide(divide(X_3,X_4),X_3)),
inference(subst,[],[refute_0_33:[bind(X,$fot(divide(divide(X_3,X_4),X_3)))]]) ).
cnf(refute_0_35,plain,
( divide(identity,divide(divide(X_3,X_4),X_3)) != X_4
| divide(identity,divide(divide(X_3,X_4),X_3)) != inverse(divide(divide(X_3,X_4),X_3))
| inverse(divide(divide(X_3,X_4),X_3)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(identity,divide(divide(X_3,X_4),X_3)),X_4) ),[0],$fot(inverse(divide(divide(X_3,X_4),X_3)))]]) ).
cnf(refute_0_36,plain,
( divide(identity,divide(divide(X_3,X_4),X_3)) != X_4
| inverse(divide(divide(X_3,X_4),X_3)) = X_4 ),
inference(resolve,[$cnf( $equal(divide(identity,divide(divide(X_3,X_4),X_3)),inverse(divide(divide(X_3,X_4),X_3))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
inverse(divide(divide(X_3,X_4),X_3)) = X_4,
inference(resolve,[$cnf( $equal(divide(identity,divide(divide(X_3,X_4),X_3)),X_4) )],[refute_0_23,refute_0_36]) ).
cnf(refute_0_38,plain,
inverse(divide(divide(X_16,X_16),X_16)) = X_16,
inference(subst,[],[refute_0_37:[bind(X_3,$fot(X_16)),bind(X_4,$fot(X_16))]]) ).
cnf(refute_0_39,plain,
identity = divide(X_16,X_16),
inference(subst,[],[identity:[bind(X,$fot(X_16))]]) ).
cnf(refute_0_40,plain,
( identity != divide(X_16,X_16)
| divide(X_16,X_16) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(X_16,X_16)))]]) ).
cnf(refute_0_41,plain,
divide(X_16,X_16) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_16,X_16)) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
( divide(X_16,X_16) != identity
| inverse(divide(divide(X_16,X_16),X_16)) != X_16
| inverse(divide(identity,X_16)) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_16,X_16),X_16)),X_16) ),[0,0,0],$fot(identity)]]) ).
cnf(refute_0_43,plain,
( inverse(divide(divide(X_16,X_16),X_16)) != X_16
| inverse(divide(identity,X_16)) = X_16 ),
inference(resolve,[$cnf( $equal(divide(X_16,X_16),identity) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
inverse(divide(identity,X_16)) = X_16,
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_16,X_16),X_16)),X_16) )],[refute_0_38,refute_0_43]) ).
cnf(refute_0_45,plain,
divide(identity,X_16) = inverse(X_16),
inference(subst,[],[refute_0_33:[bind(X,$fot(X_16))]]) ).
cnf(refute_0_46,plain,
inverse(divide(identity,X_16)) = inverse(divide(identity,X_16)),
introduced(tautology,[refl,[$fot(inverse(divide(identity,X_16)))]]) ).
cnf(refute_0_47,plain,
( divide(identity,X_16) != inverse(X_16)
| inverse(divide(identity,X_16)) != inverse(divide(identity,X_16))
| inverse(divide(identity,X_16)) = inverse(inverse(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(identity,X_16)),inverse(divide(identity,X_16))) ),[1,0],$fot(inverse(X_16))]]) ).
cnf(refute_0_48,plain,
( divide(identity,X_16) != inverse(X_16)
| inverse(divide(identity,X_16)) = inverse(inverse(X_16)) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_16)),inverse(divide(identity,X_16))) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
inverse(divide(identity,X_16)) = inverse(inverse(X_16)),
inference(resolve,[$cnf( $equal(divide(identity,X_16),inverse(X_16)) )],[refute_0_45,refute_0_48]) ).
cnf(refute_0_50,plain,
( inverse(divide(identity,X_16)) != X_16
| inverse(divide(identity,X_16)) != inverse(inverse(X_16))
| inverse(inverse(X_16)) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(identity,X_16)),X_16) ),[0],$fot(inverse(inverse(X_16)))]]) ).
cnf(refute_0_51,plain,
( inverse(divide(identity,X_16)) != X_16
| inverse(inverse(X_16)) = X_16 ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_16)),inverse(inverse(X_16))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
inverse(inverse(X_16)) = X_16,
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_16)),X_16) )],[refute_0_44,refute_0_51]) ).
cnf(refute_0_53,plain,
( multiply(X_23,inverse(X_16)) != divide(X_23,inverse(inverse(X_16)))
| inverse(inverse(X_16)) != X_16
| multiply(X_23,inverse(X_16)) = divide(X_23,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_23,inverse(X_16)),divide(X_23,inverse(inverse(X_16)))) ),[1,1],$fot(X_16)]]) ).
cnf(refute_0_54,plain,
( multiply(X_23,inverse(X_16)) != divide(X_23,inverse(inverse(X_16)))
| multiply(X_23,inverse(X_16)) = divide(X_23,X_16) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_16)),X_16) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
multiply(X_23,inverse(X_16)) = divide(X_23,X_16),
inference(resolve,[$cnf( $equal(multiply(X_23,inverse(X_16)),divide(X_23,inverse(inverse(X_16)))) )],[refute_0_16,refute_0_54]) ).
cnf(refute_0_56,plain,
multiply(a1,inverse(a1)) = divide(a1,a1),
inference(subst,[],[refute_0_55:[bind(X_16,$fot(a1)),bind(X_23,$fot(a1))]]) ).
cnf(refute_0_57,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_58,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_57]) ).
cnf(refute_0_59,plain,
( multiply(a1,inverse(a1)) != divide(a1,a1)
| divide(a1,a1) != identity
| multiply(a1,inverse(a1)) = identity ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(a1,inverse(a1)))),bind(Y0,$fot(divide(a1,a1))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_60,plain,
( divide(a1,a1) != identity
| multiply(a1,inverse(a1)) = identity ),
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),divide(a1,a1)) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
multiply(a1,inverse(a1)) = identity,
inference(resolve,[$cnf( $equal(divide(a1,a1),identity) )],[refute_0_5,refute_0_60]) ).
cnf(refute_0_62,plain,
divide(divide(X_4,X_3),divide(divide(X_4,X_4),X_3)) = X_4,
inference(subst,[],[single_axiom:[bind(X,$fot(X_4)),bind(Y,$fot(X_3)),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_63,plain,
identity = divide(X_4,X_4),
inference(subst,[],[identity:[bind(X,$fot(X_4))]]) ).
cnf(refute_0_64,plain,
( identity != divide(X_4,X_4)
| divide(X_4,X_4) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(X_4,X_4)))]]) ).
cnf(refute_0_65,plain,
divide(X_4,X_4) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_4,X_4)) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
( divide(X_4,X_4) != identity
| divide(divide(X_4,X_3),divide(divide(X_4,X_4),X_3)) != X_4
| divide(divide(X_4,X_3),divide(identity,X_3)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_4,X_3),divide(divide(X_4,X_4),X_3)),X_4) ),[0,1,0],$fot(identity)]]) ).
cnf(refute_0_67,plain,
( divide(divide(X_4,X_3),divide(divide(X_4,X_4),X_3)) != X_4
| divide(divide(X_4,X_3),divide(identity,X_3)) = X_4 ),
inference(resolve,[$cnf( $equal(divide(X_4,X_4),identity) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
divide(divide(X_4,X_3),divide(identity,X_3)) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(X_4,X_3),divide(divide(X_4,X_4),X_3)),X_4) )],[refute_0_62,refute_0_67]) ).
cnf(refute_0_69,plain,
( multiply(X,Y) != divide(X,inverse(Y))
| divide(X,inverse(Y)) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(divide(X,inverse(Y))))]]) ).
cnf(refute_0_70,plain,
divide(X,inverse(Y)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,inverse(Y))) )],[refute_0_15,refute_0_69]) ).
cnf(refute_0_71,plain,
divide(divide(X_4,X_3),inverse(X_3)) = multiply(divide(X_4,X_3),X_3),
inference(subst,[],[refute_0_70:[bind(X,$fot(divide(X_4,X_3))),bind(Y,$fot(X_3))]]) ).
cnf(refute_0_72,plain,
divide(identity,X_3) = inverse(X_3),
inference(subst,[],[refute_0_33:[bind(X,$fot(X_3))]]) ).
cnf(refute_0_73,plain,
divide(divide(X_4,X_3),divide(identity,X_3)) = divide(divide(X_4,X_3),divide(identity,X_3)),
introduced(tautology,[refl,[$fot(divide(divide(X_4,X_3),divide(identity,X_3)))]]) ).
cnf(refute_0_74,plain,
( divide(divide(X_4,X_3),divide(identity,X_3)) != divide(divide(X_4,X_3),divide(identity,X_3))
| divide(identity,X_3) != inverse(X_3)
| divide(divide(X_4,X_3),divide(identity,X_3)) = divide(divide(X_4,X_3),inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_4,X_3),divide(identity,X_3)),divide(divide(X_4,X_3),divide(identity,X_3))) ),[1,1],$fot(inverse(X_3))]]) ).
cnf(refute_0_75,plain,
( divide(identity,X_3) != inverse(X_3)
| divide(divide(X_4,X_3),divide(identity,X_3)) = divide(divide(X_4,X_3),inverse(X_3)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_4,X_3),divide(identity,X_3)),divide(divide(X_4,X_3),divide(identity,X_3))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
divide(divide(X_4,X_3),divide(identity,X_3)) = divide(divide(X_4,X_3),inverse(X_3)),
inference(resolve,[$cnf( $equal(divide(identity,X_3),inverse(X_3)) )],[refute_0_72,refute_0_75]) ).
cnf(refute_0_77,plain,
( divide(divide(X_4,X_3),divide(identity,X_3)) != divide(divide(X_4,X_3),inverse(X_3))
| divide(divide(X_4,X_3),inverse(X_3)) != multiply(divide(X_4,X_3),X_3)
| divide(divide(X_4,X_3),divide(identity,X_3)) = multiply(divide(X_4,X_3),X_3) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(divide(divide(X_4,X_3),divide(identity,X_3)))),bind(Y0,$fot(divide(divide(X_4,X_3),inverse(X_3)))),bind(Z0,$fot(multiply(divide(X_4,X_3),X_3)))]]) ).
cnf(refute_0_78,plain,
( divide(divide(X_4,X_3),inverse(X_3)) != multiply(divide(X_4,X_3),X_3)
| divide(divide(X_4,X_3),divide(identity,X_3)) = multiply(divide(X_4,X_3),X_3) ),
inference(resolve,[$cnf( $equal(divide(divide(X_4,X_3),divide(identity,X_3)),divide(divide(X_4,X_3),inverse(X_3))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
divide(divide(X_4,X_3),divide(identity,X_3)) = multiply(divide(X_4,X_3),X_3),
inference(resolve,[$cnf( $equal(divide(divide(X_4,X_3),inverse(X_3)),multiply(divide(X_4,X_3),X_3)) )],[refute_0_71,refute_0_78]) ).
cnf(refute_0_80,plain,
( divide(divide(X_4,X_3),divide(identity,X_3)) != X_4
| divide(divide(X_4,X_3),divide(identity,X_3)) != multiply(divide(X_4,X_3),X_3)
| multiply(divide(X_4,X_3),X_3) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_4,X_3),divide(identity,X_3)),X_4) ),[0],$fot(multiply(divide(X_4,X_3),X_3))]]) ).
cnf(refute_0_81,plain,
( divide(divide(X_4,X_3),divide(identity,X_3)) != X_4
| multiply(divide(X_4,X_3),X_3) = X_4 ),
inference(resolve,[$cnf( $equal(divide(divide(X_4,X_3),divide(identity,X_3)),multiply(divide(X_4,X_3),X_3)) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
multiply(divide(X_4,X_3),X_3) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(X_4,X_3),divide(identity,X_3)),X_4) )],[refute_0_68,refute_0_81]) ).
cnf(refute_0_83,plain,
multiply(divide(multiply(X_31,X_33),multiply(divide(X_31,X_32),X_33)),multiply(divide(X_31,X_32),X_33)) = multiply(X_31,X_33),
inference(subst,[],[refute_0_82:[bind(X_3,$fot(multiply(divide(X_31,X_32),X_33))),bind(X_4,$fot(multiply(X_31,X_33)))]]) ).
cnf(refute_0_84,plain,
divide(divide(X,inverse(X_24)),divide(divide(X,Z),inverse(X_24))) = Z,
inference(subst,[],[single_axiom:[bind(Y,$fot(inverse(X_24)))]]) ).
cnf(refute_0_85,plain,
multiply(divide(X,Z),X_24) = divide(divide(X,Z),inverse(X_24)),
inference(subst,[],[refute_0_15:[bind(X,$fot(divide(X,Z))),bind(Y,$fot(X_24))]]) ).
cnf(refute_0_86,plain,
( multiply(divide(X,Z),X_24) != divide(divide(X,Z),inverse(X_24))
| divide(divide(X,Z),inverse(X_24)) = multiply(divide(X,Z),X_24) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(divide(X,Z),X_24))),bind(Y0,$fot(divide(divide(X,Z),inverse(X_24))))]]) ).
cnf(refute_0_87,plain,
divide(divide(X,Z),inverse(X_24)) = multiply(divide(X,Z),X_24),
inference(resolve,[$cnf( $equal(multiply(divide(X,Z),X_24),divide(divide(X,Z),inverse(X_24))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
( divide(divide(X,Z),inverse(X_24)) != multiply(divide(X,Z),X_24)
| divide(divide(X,inverse(X_24)),divide(divide(X,Z),inverse(X_24))) != Z
| divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,inverse(X_24)),divide(divide(X,Z),inverse(X_24))),Z) ),[0,1],$fot(multiply(divide(X,Z),X_24))]]) ).
cnf(refute_0_89,plain,
( divide(divide(X,inverse(X_24)),divide(divide(X,Z),inverse(X_24))) != Z
| divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24)) = Z ),
inference(resolve,[$cnf( $equal(divide(divide(X,Z),inverse(X_24)),multiply(divide(X,Z),X_24)) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24)) = Z,
inference(resolve,[$cnf( $equal(divide(divide(X,inverse(X_24)),divide(divide(X,Z),inverse(X_24))),Z) )],[refute_0_84,refute_0_89]) ).
cnf(refute_0_91,plain,
divide(X,inverse(X_24)) = multiply(X,X_24),
inference(subst,[],[refute_0_70:[bind(Y,$fot(X_24))]]) ).
cnf(refute_0_92,plain,
divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24)) = divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24)),
introduced(tautology,[refl,[$fot(divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24)))]]) ).
cnf(refute_0_93,plain,
( divide(X,inverse(X_24)) != multiply(X,X_24)
| divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24)) != divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24))
| divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24)) = divide(multiply(X,X_24),multiply(divide(X,Z),X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24)),divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24))) ),[1,0],$fot(multiply(X,X_24))]]) ).
cnf(refute_0_94,plain,
( divide(X,inverse(X_24)) != multiply(X,X_24)
| divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24)) = divide(multiply(X,X_24),multiply(divide(X,Z),X_24)) ),
inference(resolve,[$cnf( $equal(divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24)),divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24))) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24)) = divide(multiply(X,X_24),multiply(divide(X,Z),X_24)),
inference(resolve,[$cnf( $equal(divide(X,inverse(X_24)),multiply(X,X_24)) )],[refute_0_91,refute_0_94]) ).
cnf(refute_0_96,plain,
( divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24)) != Z
| divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24)) != divide(multiply(X,X_24),multiply(divide(X,Z),X_24))
| divide(multiply(X,X_24),multiply(divide(X,Z),X_24)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24)),Z) ),[0],$fot(divide(multiply(X,X_24),multiply(divide(X,Z),X_24)))]]) ).
cnf(refute_0_97,plain,
( divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24)) != Z
| divide(multiply(X,X_24),multiply(divide(X,Z),X_24)) = Z ),
inference(resolve,[$cnf( $equal(divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24)),divide(multiply(X,X_24),multiply(divide(X,Z),X_24))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
divide(multiply(X,X_24),multiply(divide(X,Z),X_24)) = Z,
inference(resolve,[$cnf( $equal(divide(divide(X,inverse(X_24)),multiply(divide(X,Z),X_24)),Z) )],[refute_0_90,refute_0_97]) ).
cnf(refute_0_99,plain,
divide(multiply(X_31,X_33),multiply(divide(X_31,X_32),X_33)) = X_32,
inference(subst,[],[refute_0_98:[bind(X,$fot(X_31)),bind(Z,$fot(X_32)),bind(X_24,$fot(X_33))]]) ).
cnf(refute_0_100,plain,
( multiply(divide(multiply(X_31,X_33),multiply(divide(X_31,X_32),X_33)),multiply(divide(X_31,X_32),X_33)) != multiply(X_31,X_33)
| divide(multiply(X_31,X_33),multiply(divide(X_31,X_32),X_33)) != X_32
| multiply(X_32,multiply(divide(X_31,X_32),X_33)) = multiply(X_31,X_33) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(multiply(X_31,X_33),multiply(divide(X_31,X_32),X_33)),multiply(divide(X_31,X_32),X_33)),multiply(X_31,X_33)) ),[0,0],$fot(X_32)]]) ).
cnf(refute_0_101,plain,
( multiply(divide(multiply(X_31,X_33),multiply(divide(X_31,X_32),X_33)),multiply(divide(X_31,X_32),X_33)) != multiply(X_31,X_33)
| multiply(X_32,multiply(divide(X_31,X_32),X_33)) = multiply(X_31,X_33) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_31,X_33),multiply(divide(X_31,X_32),X_33)),X_32) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
multiply(X_32,multiply(divide(X_31,X_32),X_33)) = multiply(X_31,X_33),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(X_31,X_33),multiply(divide(X_31,X_32),X_33)),multiply(divide(X_31,X_32),X_33)),multiply(X_31,X_33)) )],[refute_0_83,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(X_48,multiply(divide(X_46,X_48),X_48)) = multiply(X_46,X_48),
inference(subst,[],[refute_0_102:[bind(X_31,$fot(X_46)),bind(X_32,$fot(X_48)),bind(X_33,$fot(X_48))]]) ).
cnf(refute_0_104,plain,
multiply(divide(X_46,X_48),X_48) = X_46,
inference(subst,[],[refute_0_82:[bind(X_3,$fot(X_48)),bind(X_4,$fot(X_46))]]) ).
cnf(refute_0_105,plain,
( multiply(X_48,multiply(divide(X_46,X_48),X_48)) != multiply(X_46,X_48)
| multiply(divide(X_46,X_48),X_48) != X_46
| multiply(X_48,X_46) = multiply(X_46,X_48) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_48,multiply(divide(X_46,X_48),X_48)),multiply(X_46,X_48)) ),[0,1],$fot(X_46)]]) ).
cnf(refute_0_106,plain,
( multiply(X_48,multiply(divide(X_46,X_48),X_48)) != multiply(X_46,X_48)
| multiply(X_48,X_46) = multiply(X_46,X_48) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_46,X_48),X_48),X_46) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
multiply(X_48,X_46) = multiply(X_46,X_48),
inference(resolve,[$cnf( $equal(multiply(X_48,multiply(divide(X_46,X_48),X_48)),multiply(X_46,X_48)) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
( multiply(X_48,X_46) != multiply(X_46,X_48)
| multiply(X_46,X_48) = multiply(X_48,X_46) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_48,X_46))),bind(Y0,$fot(multiply(X_46,X_48)))]]) ).
cnf(refute_0_109,plain,
multiply(X_46,X_48) = multiply(X_48,X_46),
inference(resolve,[$cnf( $equal(multiply(X_48,X_46),multiply(X_46,X_48)) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(subst,[],[refute_0_109:[bind(X_46,$fot(inverse(a1))),bind(X_48,$fot(a1))]]) ).
cnf(refute_0_111,plain,
( multiply(a1,inverse(a1)) != identity
| multiply(inverse(a1),a1) != multiply(a1,inverse(a1))
| multiply(inverse(a1),a1) = identity ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(inverse(a1),a1))),bind(Y0,$fot(multiply(a1,inverse(a1)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_112,plain,
( multiply(a1,inverse(a1)) != identity
| multiply(inverse(a1),a1) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
multiply(inverse(a1),a1) = identity,
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),identity) )],[refute_0_61,refute_0_112]) ).
cnf(refute_0_114,plain,
( multiply(inverse(a1),a1) != identity
| identity != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) ),[0],$fot(identity)]]) ).
cnf(refute_0_115,plain,
( identity != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
divide(b1,b1) = identity,
inference(subst,[],[refute_0_4:[bind(X,$fot(b1))]]) ).
cnf(refute_0_117,plain,
multiply(b1,inverse(b1)) = divide(b1,b1),
inference(subst,[],[refute_0_55:[bind(X_16,$fot(b1)),bind(X_23,$fot(b1))]]) ).
cnf(refute_0_118,plain,
( multiply(b1,inverse(b1)) != divide(b1,b1)
| divide(b1,b1) != identity
| multiply(b1,inverse(b1)) = identity ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(b1,inverse(b1)))),bind(Y0,$fot(divide(b1,b1))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_119,plain,
( divide(b1,b1) != identity
| multiply(b1,inverse(b1)) = identity ),
inference(resolve,[$cnf( $equal(multiply(b1,inverse(b1)),divide(b1,b1)) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
multiply(b1,inverse(b1)) = identity,
inference(resolve,[$cnf( $equal(divide(b1,b1),identity) )],[refute_0_116,refute_0_119]) ).
cnf(refute_0_121,plain,
multiply(inverse(b1),b1) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_109:[bind(X_46,$fot(inverse(b1))),bind(X_48,$fot(b1))]]) ).
cnf(refute_0_122,plain,
( multiply(b1,inverse(b1)) != identity
| multiply(inverse(b1),b1) != multiply(b1,inverse(b1))
| multiply(inverse(b1),b1) = identity ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(inverse(b1),b1))),bind(Y0,$fot(multiply(b1,inverse(b1)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_123,plain,
( multiply(b1,inverse(b1)) != identity
| multiply(inverse(b1),b1) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),multiply(b1,inverse(b1))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
multiply(inverse(b1),b1) = identity,
inference(resolve,[$cnf( $equal(multiply(b1,inverse(b1)),identity) )],[refute_0_120,refute_0_123]) ).
cnf(refute_0_125,plain,
( multiply(inverse(b1),b1) != identity
| identity != identity
| identity = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(identity,multiply(inverse(b1),b1)) ),[1],$fot(identity)]]) ).
cnf(refute_0_126,plain,
( identity != identity
| identity = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),identity) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
( identity != identity
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(identity,multiply(inverse(b1),b1)) )],[refute_0_126,refute_0_115]) ).
cnf(refute_0_128,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a4,b4) != multiply(b4,a4)
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_127,prove_these_axioms]) ).
cnf(refute_0_129,plain,
multiply(b4,a4) = multiply(a4,b4),
inference(subst,[],[refute_0_109:[bind(X_46,$fot(b4)),bind(X_48,$fot(a4))]]) ).
cnf(refute_0_130,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(b4,a4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a4,b4),multiply(b4,a4)) ),[1],$fot(multiply(a4,b4))]]) ).
cnf(refute_0_131,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(b4,a4),multiply(a4,b4)) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a4,b4) != multiply(a4,b4)
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(b4,a4)) )],[refute_0_131,refute_0_128]) ).
cnf(refute_0_133,plain,
multiply(divide(X_4,identity),identity) = X_4,
inference(subst,[],[refute_0_82:[bind(X_3,$fot(identity))]]) ).
cnf(refute_0_134,plain,
divide(divide(identity,X_3),divide(divide(identity,X_4),X_3)) = X_4,
inference(subst,[],[single_axiom:[bind(X,$fot(identity)),bind(Y,$fot(X_3)),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_135,plain,
inverse(X_4) = divide(identity,X_4),
inference(subst,[],[refute_0_31:[bind(X,$fot(X_4))]]) ).
cnf(refute_0_136,plain,
( inverse(X_4) != divide(identity,X_4)
| divide(identity,X_4) = inverse(X_4) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_4))),bind(Y0,$fot(divide(identity,X_4)))]]) ).
cnf(refute_0_137,plain,
divide(identity,X_4) = inverse(X_4),
inference(resolve,[$cnf( $equal(inverse(X_4),divide(identity,X_4)) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
( divide(divide(identity,X_3),divide(divide(identity,X_4),X_3)) != X_4
| divide(identity,X_4) != inverse(X_4)
| divide(divide(identity,X_3),divide(inverse(X_4),X_3)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,X_3),divide(divide(identity,X_4),X_3)),X_4) ),[0,1,0],$fot(inverse(X_4))]]) ).
cnf(refute_0_139,plain,
( divide(divide(identity,X_3),divide(divide(identity,X_4),X_3)) != X_4
| divide(divide(identity,X_3),divide(inverse(X_4),X_3)) = X_4 ),
inference(resolve,[$cnf( $equal(divide(identity,X_4),inverse(X_4)) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
divide(divide(identity,X_3),divide(inverse(X_4),X_3)) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(identity,X_3),divide(divide(identity,X_4),X_3)),X_4) )],[refute_0_134,refute_0_139]) ).
cnf(refute_0_141,plain,
divide(divide(identity,X_3),divide(inverse(X_4),X_3)) = divide(divide(identity,X_3),divide(inverse(X_4),X_3)),
introduced(tautology,[refl,[$fot(divide(divide(identity,X_3),divide(inverse(X_4),X_3)))]]) ).
cnf(refute_0_142,plain,
( divide(divide(identity,X_3),divide(inverse(X_4),X_3)) != divide(divide(identity,X_3),divide(inverse(X_4),X_3))
| divide(identity,X_3) != inverse(X_3)
| divide(divide(identity,X_3),divide(inverse(X_4),X_3)) = divide(inverse(X_3),divide(inverse(X_4),X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,X_3),divide(inverse(X_4),X_3)),divide(divide(identity,X_3),divide(inverse(X_4),X_3))) ),[1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_143,plain,
( divide(identity,X_3) != inverse(X_3)
| divide(divide(identity,X_3),divide(inverse(X_4),X_3)) = divide(inverse(X_3),divide(inverse(X_4),X_3)) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,X_3),divide(inverse(X_4),X_3)),divide(divide(identity,X_3),divide(inverse(X_4),X_3))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
divide(divide(identity,X_3),divide(inverse(X_4),X_3)) = divide(inverse(X_3),divide(inverse(X_4),X_3)),
inference(resolve,[$cnf( $equal(divide(identity,X_3),inverse(X_3)) )],[refute_0_72,refute_0_143]) ).
cnf(refute_0_145,plain,
( divide(divide(identity,X_3),divide(inverse(X_4),X_3)) != X_4
| divide(divide(identity,X_3),divide(inverse(X_4),X_3)) != divide(inverse(X_3),divide(inverse(X_4),X_3))
| divide(inverse(X_3),divide(inverse(X_4),X_3)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,X_3),divide(inverse(X_4),X_3)),X_4) ),[0],$fot(divide(inverse(X_3),divide(inverse(X_4),X_3)))]]) ).
cnf(refute_0_146,plain,
( divide(divide(identity,X_3),divide(inverse(X_4),X_3)) != X_4
| divide(inverse(X_3),divide(inverse(X_4),X_3)) = X_4 ),
inference(resolve,[$cnf( $equal(divide(divide(identity,X_3),divide(inverse(X_4),X_3)),divide(inverse(X_3),divide(inverse(X_4),X_3))) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
divide(inverse(X_3),divide(inverse(X_4),X_3)) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(identity,X_3),divide(inverse(X_4),X_3)),X_4) )],[refute_0_140,refute_0_146]) ).
cnf(refute_0_148,plain,
divide(inverse(identity),divide(inverse(X_6),identity)) = X_6,
inference(subst,[],[refute_0_147:[bind(X_3,$fot(identity)),bind(X_4,$fot(X_6))]]) ).
cnf(refute_0_149,plain,
identity = divide(identity,identity),
inference(subst,[],[identity:[bind(X,$fot(identity))]]) ).
cnf(refute_0_150,plain,
inverse(identity) = divide(identity,identity),
inference(subst,[],[refute_0_31:[bind(X,$fot(identity))]]) ).
cnf(refute_0_151,plain,
( inverse(identity) != divide(identity,identity)
| divide(identity,identity) = inverse(identity) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(identity))),bind(Y0,$fot(divide(identity,identity)))]]) ).
cnf(refute_0_152,plain,
divide(identity,identity) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),divide(identity,identity)) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
( divide(identity,identity) != inverse(identity)
| identity != divide(identity,identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(identity,divide(identity,identity)) ),[1],$fot(inverse(identity))]]) ).
cnf(refute_0_154,plain,
( identity != divide(identity,identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(divide(identity,identity),inverse(identity)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(identity,divide(identity,identity)) )],[refute_0_149,refute_0_154]) ).
cnf(refute_0_156,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(inverse(identity)))]]) ).
cnf(refute_0_157,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
( divide(inverse(identity),divide(inverse(X_6),identity)) != X_6
| inverse(identity) != identity
| divide(identity,divide(inverse(X_6),identity)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(identity),divide(inverse(X_6),identity)),X_6) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_159,plain,
( divide(inverse(identity),divide(inverse(X_6),identity)) != X_6
| divide(identity,divide(inverse(X_6),identity)) = X_6 ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
divide(identity,divide(inverse(X_6),identity)) = X_6,
inference(resolve,[$cnf( $equal(divide(inverse(identity),divide(inverse(X_6),identity)),X_6) )],[refute_0_148,refute_0_159]) ).
cnf(refute_0_161,plain,
divide(identity,divide(inverse(X_6),identity)) = inverse(divide(inverse(X_6),identity)),
inference(subst,[],[refute_0_33:[bind(X,$fot(divide(inverse(X_6),identity)))]]) ).
cnf(refute_0_162,plain,
( divide(identity,divide(inverse(X_6),identity)) != X_6
| divide(identity,divide(inverse(X_6),identity)) != inverse(divide(inverse(X_6),identity))
| inverse(divide(inverse(X_6),identity)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(divide(identity,divide(inverse(X_6),identity)),X_6) ),[0],$fot(inverse(divide(inverse(X_6),identity)))]]) ).
cnf(refute_0_163,plain,
( divide(identity,divide(inverse(X_6),identity)) != X_6
| inverse(divide(inverse(X_6),identity)) = X_6 ),
inference(resolve,[$cnf( $equal(divide(identity,divide(inverse(X_6),identity)),inverse(divide(inverse(X_6),identity))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
inverse(divide(inverse(X_6),identity)) = X_6,
inference(resolve,[$cnf( $equal(divide(identity,divide(inverse(X_6),identity)),X_6) )],[refute_0_160,refute_0_163]) ).
cnf(refute_0_165,plain,
inverse(divide(inverse(divide(inverse(X_8),identity)),identity)) = divide(inverse(X_8),identity),
inference(subst,[],[refute_0_164:[bind(X_6,$fot(divide(inverse(X_8),identity)))]]) ).
cnf(refute_0_166,plain,
inverse(divide(inverse(X_8),identity)) = X_8,
inference(subst,[],[refute_0_164:[bind(X_6,$fot(X_8))]]) ).
cnf(refute_0_167,plain,
( inverse(divide(inverse(X_8),identity)) != X_8
| inverse(divide(inverse(divide(inverse(X_8),identity)),identity)) != divide(inverse(X_8),identity)
| inverse(divide(X_8,identity)) = divide(inverse(X_8),identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(divide(inverse(X_8),identity)),identity)),divide(inverse(X_8),identity)) ),[0,0,0],$fot(X_8)]]) ).
cnf(refute_0_168,plain,
( inverse(divide(inverse(divide(inverse(X_8),identity)),identity)) != divide(inverse(X_8),identity)
| inverse(divide(X_8,identity)) = divide(inverse(X_8),identity) ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_8),identity)),X_8) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
inverse(divide(X_8,identity)) = divide(inverse(X_8),identity),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(divide(inverse(X_8),identity)),identity)),divide(inverse(X_8),identity)) )],[refute_0_165,refute_0_168]) ).
cnf(refute_0_170,plain,
( inverse(divide(X_8,identity)) != divide(inverse(X_8),identity)
| divide(inverse(X_8),identity) = inverse(divide(X_8,identity)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(divide(X_8,identity)))),bind(Y0,$fot(divide(inverse(X_8),identity)))]]) ).
cnf(refute_0_171,plain,
divide(inverse(X_8),identity) = inverse(divide(X_8,identity)),
inference(resolve,[$cnf( $equal(inverse(divide(X_8,identity)),divide(inverse(X_8),identity)) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
divide(inverse(X_6),identity) = inverse(divide(X_6,identity)),
inference(subst,[],[refute_0_171:[bind(X_8,$fot(X_6))]]) ).
cnf(refute_0_173,plain,
inverse(divide(inverse(X_6),identity)) = inverse(divide(inverse(X_6),identity)),
introduced(tautology,[refl,[$fot(inverse(divide(inverse(X_6),identity)))]]) ).
cnf(refute_0_174,plain,
( divide(inverse(X_6),identity) != inverse(divide(X_6,identity))
| inverse(divide(inverse(X_6),identity)) != inverse(divide(inverse(X_6),identity))
| inverse(divide(inverse(X_6),identity)) = inverse(inverse(divide(X_6,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(X_6),identity)),inverse(divide(inverse(X_6),identity))) ),[1,0],$fot(inverse(divide(X_6,identity)))]]) ).
cnf(refute_0_175,plain,
( divide(inverse(X_6),identity) != inverse(divide(X_6,identity))
| inverse(divide(inverse(X_6),identity)) = inverse(inverse(divide(X_6,identity))) ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_6),identity)),inverse(divide(inverse(X_6),identity))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
inverse(divide(inverse(X_6),identity)) = inverse(inverse(divide(X_6,identity))),
inference(resolve,[$cnf( $equal(divide(inverse(X_6),identity),inverse(divide(X_6,identity))) )],[refute_0_172,refute_0_175]) ).
cnf(refute_0_177,plain,
( inverse(divide(inverse(X_6),identity)) != X_6
| inverse(divide(inverse(X_6),identity)) != inverse(inverse(divide(X_6,identity)))
| inverse(inverse(divide(X_6,identity))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(X_6),identity)),X_6) ),[0],$fot(inverse(inverse(divide(X_6,identity))))]]) ).
cnf(refute_0_178,plain,
( inverse(divide(inverse(X_6),identity)) != X_6
| inverse(inverse(divide(X_6,identity))) = X_6 ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_6),identity)),inverse(inverse(divide(X_6,identity)))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
inverse(inverse(divide(X_6,identity))) = X_6,
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_6),identity)),X_6) )],[refute_0_164,refute_0_178]) ).
cnf(refute_0_180,plain,
inverse(inverse(divide(X_6,identity))) = divide(X_6,identity),
inference(subst,[],[refute_0_52:[bind(X_16,$fot(divide(X_6,identity)))]]) ).
cnf(refute_0_181,plain,
( inverse(inverse(divide(X_6,identity))) != X_6
| inverse(inverse(divide(X_6,identity))) != divide(X_6,identity)
| divide(X_6,identity) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(X_6,identity))),X_6) ),[0],$fot(divide(X_6,identity))]]) ).
cnf(refute_0_182,plain,
( inverse(inverse(divide(X_6,identity))) != X_6
| divide(X_6,identity) = X_6 ),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_6,identity))),divide(X_6,identity)) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
divide(X_6,identity) = X_6,
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_6,identity))),X_6) )],[refute_0_179,refute_0_182]) ).
cnf(refute_0_184,plain,
divide(X_4,identity) = X_4,
inference(subst,[],[refute_0_183:[bind(X_6,$fot(X_4))]]) ).
cnf(refute_0_185,plain,
( multiply(divide(X_4,identity),identity) != X_4
| divide(X_4,identity) != X_4
| multiply(X_4,identity) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_4,identity),identity),X_4) ),[0,0],$fot(X_4)]]) ).
cnf(refute_0_186,plain,
( multiply(divide(X_4,identity),identity) != X_4
| multiply(X_4,identity) = X_4 ),
inference(resolve,[$cnf( $equal(divide(X_4,identity),X_4) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
multiply(X_4,identity) = X_4,
inference(resolve,[$cnf( $equal(multiply(divide(X_4,identity),identity),X_4) )],[refute_0_133,refute_0_186]) ).
cnf(refute_0_188,plain,
multiply(a2,identity) = a2,
inference(subst,[],[refute_0_187:[bind(X_4,$fot(a2))]]) ).
cnf(refute_0_189,plain,
divide(b2,b2) = identity,
inference(subst,[],[refute_0_4:[bind(X,$fot(b2))]]) ).
cnf(refute_0_190,plain,
multiply(b2,inverse(b2)) = divide(b2,b2),
inference(subst,[],[refute_0_55:[bind(X_16,$fot(b2)),bind(X_23,$fot(b2))]]) ).
cnf(refute_0_191,plain,
( multiply(b2,inverse(b2)) != divide(b2,b2)
| divide(b2,b2) != identity
| multiply(b2,inverse(b2)) = identity ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(b2,inverse(b2)))),bind(Y0,$fot(divide(b2,b2))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_192,plain,
( divide(b2,b2) != identity
| multiply(b2,inverse(b2)) = identity ),
inference(resolve,[$cnf( $equal(multiply(b2,inverse(b2)),divide(b2,b2)) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
multiply(b2,inverse(b2)) = identity,
inference(resolve,[$cnf( $equal(divide(b2,b2),identity) )],[refute_0_189,refute_0_192]) ).
cnf(refute_0_194,plain,
multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,multiply(b2,inverse(b2))),
introduced(tautology,[refl,[$fot(multiply(a2,multiply(b2,inverse(b2))))]]) ).
cnf(refute_0_195,plain,
( multiply(a2,multiply(b2,inverse(b2))) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(b2,inverse(b2)) != identity
| multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),multiply(a2,multiply(b2,inverse(b2)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_196,plain,
( multiply(b2,inverse(b2)) != identity
| multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,identity) ),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,identity),
inference(resolve,[$cnf( $equal(multiply(b2,inverse(b2)),identity) )],[refute_0_193,refute_0_196]) ).
cnf(refute_0_198,plain,
( multiply(a2,multiply(b2,inverse(b2))) != multiply(a2,identity)
| multiply(a2,identity) != a2
| multiply(a2,multiply(b2,inverse(b2))) = a2 ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(a2,multiply(b2,inverse(b2))))),bind(Y0,$fot(multiply(a2,identity))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_199,plain,
( multiply(a2,identity) != a2
| multiply(a2,multiply(b2,inverse(b2))) = a2 ),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),multiply(a2,identity)) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
multiply(a2,multiply(b2,inverse(b2))) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,identity),a2) )],[refute_0_188,refute_0_199]) ).
cnf(refute_0_201,plain,
multiply(X_47,multiply(divide(divide(X_47,X_4),X_47),X_48)) = multiply(divide(X_47,X_4),X_48),
inference(subst,[],[refute_0_102:[bind(X_31,$fot(divide(X_47,X_4))),bind(X_32,$fot(X_47)),bind(X_33,$fot(X_48))]]) ).
cnf(refute_0_202,plain,
inverse(inverse(divide(divide(X_3,X_4),X_3))) = divide(divide(X_3,X_4),X_3),
inference(subst,[],[refute_0_52:[bind(X_16,$fot(divide(divide(X_3,X_4),X_3)))]]) ).
cnf(refute_0_203,plain,
( inverse(divide(divide(X_3,X_4),X_3)) != X_4
| inverse(inverse(divide(divide(X_3,X_4),X_3))) != divide(divide(X_3,X_4),X_3)
| inverse(X_4) = divide(divide(X_3,X_4),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(divide(X_3,X_4),X_3))),divide(divide(X_3,X_4),X_3)) ),[0,0],$fot(X_4)]]) ).
cnf(refute_0_204,plain,
( inverse(inverse(divide(divide(X_3,X_4),X_3))) != divide(divide(X_3,X_4),X_3)
| inverse(X_4) = divide(divide(X_3,X_4),X_3) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_3,X_4),X_3)),X_4) )],[refute_0_37,refute_0_203]) ).
cnf(refute_0_205,plain,
inverse(X_4) = divide(divide(X_3,X_4),X_3),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(divide(X_3,X_4),X_3))),divide(divide(X_3,X_4),X_3)) )],[refute_0_202,refute_0_204]) ).
cnf(refute_0_206,plain,
inverse(X_4) = divide(divide(X_47,X_4),X_47),
inference(subst,[],[refute_0_205:[bind(X_3,$fot(X_47))]]) ).
cnf(refute_0_207,plain,
( inverse(X_4) != divide(divide(X_47,X_4),X_47)
| divide(divide(X_47,X_4),X_47) = inverse(X_4) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_4))),bind(Y0,$fot(divide(divide(X_47,X_4),X_47)))]]) ).
cnf(refute_0_208,plain,
divide(divide(X_47,X_4),X_47) = inverse(X_4),
inference(resolve,[$cnf( $equal(inverse(X_4),divide(divide(X_47,X_4),X_47)) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
( multiply(X_47,multiply(divide(divide(X_47,X_4),X_47),X_48)) != multiply(divide(X_47,X_4),X_48)
| divide(divide(X_47,X_4),X_47) != inverse(X_4)
| multiply(X_47,multiply(inverse(X_4),X_48)) = multiply(divide(X_47,X_4),X_48) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_47,multiply(divide(divide(X_47,X_4),X_47),X_48)),multiply(divide(X_47,X_4),X_48)) ),[0,1,0],$fot(inverse(X_4))]]) ).
cnf(refute_0_210,plain,
( multiply(X_47,multiply(divide(divide(X_47,X_4),X_47),X_48)) != multiply(divide(X_47,X_4),X_48)
| multiply(X_47,multiply(inverse(X_4),X_48)) = multiply(divide(X_47,X_4),X_48) ),
inference(resolve,[$cnf( $equal(divide(divide(X_47,X_4),X_47),inverse(X_4)) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
multiply(X_47,multiply(inverse(X_4),X_48)) = multiply(divide(X_47,X_4),X_48),
inference(resolve,[$cnf( $equal(multiply(X_47,multiply(divide(divide(X_47,X_4),X_47),X_48)),multiply(divide(X_47,X_4),X_48)) )],[refute_0_201,refute_0_210]) ).
cnf(refute_0_212,plain,
divide(inverse(divide(inverse(X_6),X_4)),divide(inverse(X_4),divide(inverse(X_6),X_4))) = X_4,
inference(subst,[],[refute_0_147:[bind(X_3,$fot(divide(inverse(X_6),X_4)))]]) ).
cnf(refute_0_213,plain,
divide(inverse(X_4),divide(inverse(X_6),X_4)) = X_6,
inference(subst,[],[refute_0_147:[bind(X_3,$fot(X_4)),bind(X_4,$fot(X_6))]]) ).
cnf(refute_0_214,plain,
( divide(inverse(X_4),divide(inverse(X_6),X_4)) != X_6
| divide(inverse(divide(inverse(X_6),X_4)),divide(inverse(X_4),divide(inverse(X_6),X_4))) != X_4
| divide(inverse(divide(inverse(X_6),X_4)),X_6) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(X_6),X_4)),divide(inverse(X_4),divide(inverse(X_6),X_4))),X_4) ),[0,1],$fot(X_6)]]) ).
cnf(refute_0_215,plain,
( divide(inverse(divide(inverse(X_6),X_4)),divide(inverse(X_4),divide(inverse(X_6),X_4))) != X_4
| divide(inverse(divide(inverse(X_6),X_4)),X_6) = X_4 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_4),divide(inverse(X_6),X_4)),X_6) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
divide(inverse(divide(inverse(X_6),X_4)),X_6) = X_4,
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(X_6),X_4)),divide(inverse(X_4),divide(inverse(X_6),X_4))),X_4) )],[refute_0_212,refute_0_215]) ).
cnf(refute_0_217,plain,
divide(inverse(divide(inverse(inverse(X_16)),X_21)),inverse(X_16)) = X_21,
inference(subst,[],[refute_0_216:[bind(X_4,$fot(X_21)),bind(X_6,$fot(inverse(X_16)))]]) ).
cnf(refute_0_218,plain,
( divide(inverse(divide(inverse(inverse(X_16)),X_21)),inverse(X_16)) != X_21
| inverse(inverse(X_16)) != X_16
| divide(inverse(divide(X_16,X_21)),inverse(X_16)) = X_21 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(inverse(X_16)),X_21)),inverse(X_16)),X_21) ),[0,0,0,0],$fot(X_16)]]) ).
cnf(refute_0_219,plain,
( divide(inverse(divide(inverse(inverse(X_16)),X_21)),inverse(X_16)) != X_21
| divide(inverse(divide(X_16,X_21)),inverse(X_16)) = X_21 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_16)),X_16) )],[refute_0_52,refute_0_218]) ).
cnf(refute_0_220,plain,
divide(inverse(divide(X_16,X_21)),inverse(X_16)) = X_21,
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(inverse(X_16)),X_21)),inverse(X_16)),X_21) )],[refute_0_217,refute_0_219]) ).
cnf(refute_0_221,plain,
divide(inverse(divide(X_16,X_21)),inverse(X_16)) = multiply(inverse(divide(X_16,X_21)),X_16),
inference(subst,[],[refute_0_70:[bind(X,$fot(inverse(divide(X_16,X_21)))),bind(Y,$fot(X_16))]]) ).
cnf(refute_0_222,plain,
( divide(inverse(divide(X_16,X_21)),inverse(X_16)) != X_21
| divide(inverse(divide(X_16,X_21)),inverse(X_16)) != multiply(inverse(divide(X_16,X_21)),X_16)
| multiply(inverse(divide(X_16,X_21)),X_16) = X_21 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_16,X_21)),inverse(X_16)),X_21) ),[0],$fot(multiply(inverse(divide(X_16,X_21)),X_16))]]) ).
cnf(refute_0_223,plain,
( divide(inverse(divide(X_16,X_21)),inverse(X_16)) != X_21
| multiply(inverse(divide(X_16,X_21)),X_16) = X_21 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_16,X_21)),inverse(X_16)),multiply(inverse(divide(X_16,X_21)),X_16)) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
multiply(inverse(divide(X_16,X_21)),X_16) = X_21,
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_16,X_21)),inverse(X_16)),X_21) )],[refute_0_220,refute_0_223]) ).
cnf(refute_0_225,plain,
multiply(inverse(divide(X_29,divide(X_29,X_4))),X_29) = divide(X_29,X_4),
inference(subst,[],[refute_0_224:[bind(X_16,$fot(X_29)),bind(X_21,$fot(divide(X_29,X_4)))]]) ).
cnf(refute_0_226,plain,
divide(divide(X_2,divide(X_2,X_4)),divide(divide(X_2,X_4),divide(X_2,X_4))) = X_4,
inference(subst,[],[single_axiom:[bind(X,$fot(X_2)),bind(Y,$fot(divide(X_2,X_4))),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_227,plain,
identity = divide(divide(X_2,X_4),divide(X_2,X_4)),
inference(subst,[],[identity:[bind(X,$fot(divide(X_2,X_4)))]]) ).
cnf(refute_0_228,plain,
( identity != divide(divide(X_2,X_4),divide(X_2,X_4))
| divide(divide(X_2,X_4),divide(X_2,X_4)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(divide(divide(X_2,X_4),divide(X_2,X_4))))]]) ).
cnf(refute_0_229,plain,
divide(divide(X_2,X_4),divide(X_2,X_4)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(divide(X_2,X_4),divide(X_2,X_4))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
( divide(divide(X_2,X_4),divide(X_2,X_4)) != identity
| divide(divide(X_2,divide(X_2,X_4)),divide(divide(X_2,X_4),divide(X_2,X_4))) != X_4
| divide(divide(X_2,divide(X_2,X_4)),identity) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_2,divide(X_2,X_4)),divide(divide(X_2,X_4),divide(X_2,X_4))),X_4) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_231,plain,
( divide(divide(X_2,divide(X_2,X_4)),divide(divide(X_2,X_4),divide(X_2,X_4))) != X_4
| divide(divide(X_2,divide(X_2,X_4)),identity) = X_4 ),
inference(resolve,[$cnf( $equal(divide(divide(X_2,X_4),divide(X_2,X_4)),identity) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
divide(divide(X_2,divide(X_2,X_4)),identity) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(X_2,divide(X_2,X_4)),divide(divide(X_2,X_4),divide(X_2,X_4))),X_4) )],[refute_0_226,refute_0_231]) ).
cnf(refute_0_233,plain,
divide(divide(X_2,divide(X_2,X_4)),identity) = divide(X_2,divide(X_2,X_4)),
inference(subst,[],[refute_0_183:[bind(X_6,$fot(divide(X_2,divide(X_2,X_4))))]]) ).
cnf(refute_0_234,plain,
( divide(divide(X_2,divide(X_2,X_4)),identity) != X_4
| divide(divide(X_2,divide(X_2,X_4)),identity) != divide(X_2,divide(X_2,X_4))
| divide(X_2,divide(X_2,X_4)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_2,divide(X_2,X_4)),identity),X_4) ),[0],$fot(divide(X_2,divide(X_2,X_4)))]]) ).
cnf(refute_0_235,plain,
( divide(divide(X_2,divide(X_2,X_4)),identity) != X_4
| divide(X_2,divide(X_2,X_4)) = X_4 ),
inference(resolve,[$cnf( $equal(divide(divide(X_2,divide(X_2,X_4)),identity),divide(X_2,divide(X_2,X_4))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
divide(X_2,divide(X_2,X_4)) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(X_2,divide(X_2,X_4)),identity),X_4) )],[refute_0_232,refute_0_235]) ).
cnf(refute_0_237,plain,
divide(X_29,divide(X_29,X_4)) = X_4,
inference(subst,[],[refute_0_236:[bind(X_2,$fot(X_29))]]) ).
cnf(refute_0_238,plain,
( multiply(inverse(divide(X_29,divide(X_29,X_4))),X_29) != divide(X_29,X_4)
| divide(X_29,divide(X_29,X_4)) != X_4
| multiply(inverse(X_4),X_29) = divide(X_29,X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_29,divide(X_29,X_4))),X_29),divide(X_29,X_4)) ),[0,0,0],$fot(X_4)]]) ).
cnf(refute_0_239,plain,
( multiply(inverse(divide(X_29,divide(X_29,X_4))),X_29) != divide(X_29,X_4)
| multiply(inverse(X_4),X_29) = divide(X_29,X_4) ),
inference(resolve,[$cnf( $equal(divide(X_29,divide(X_29,X_4)),X_4) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
multiply(inverse(X_4),X_29) = divide(X_29,X_4),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_29,divide(X_29,X_4))),X_29),divide(X_29,X_4)) )],[refute_0_225,refute_0_239]) ).
cnf(refute_0_241,plain,
multiply(inverse(X_4),X_48) = divide(X_48,X_4),
inference(subst,[],[refute_0_240:[bind(X_29,$fot(X_48))]]) ).
cnf(refute_0_242,plain,
multiply(X_47,multiply(inverse(X_4),X_48)) = multiply(X_47,multiply(inverse(X_4),X_48)),
introduced(tautology,[refl,[$fot(multiply(X_47,multiply(inverse(X_4),X_48)))]]) ).
cnf(refute_0_243,plain,
( multiply(X_47,multiply(inverse(X_4),X_48)) != multiply(X_47,multiply(inverse(X_4),X_48))
| multiply(inverse(X_4),X_48) != divide(X_48,X_4)
| multiply(X_47,multiply(inverse(X_4),X_48)) = multiply(X_47,divide(X_48,X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_47,multiply(inverse(X_4),X_48)),multiply(X_47,multiply(inverse(X_4),X_48))) ),[1,1],$fot(divide(X_48,X_4))]]) ).
cnf(refute_0_244,plain,
( multiply(inverse(X_4),X_48) != divide(X_48,X_4)
| multiply(X_47,multiply(inverse(X_4),X_48)) = multiply(X_47,divide(X_48,X_4)) ),
inference(resolve,[$cnf( $equal(multiply(X_47,multiply(inverse(X_4),X_48)),multiply(X_47,multiply(inverse(X_4),X_48))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
multiply(X_47,multiply(inverse(X_4),X_48)) = multiply(X_47,divide(X_48,X_4)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),X_48),divide(X_48,X_4)) )],[refute_0_241,refute_0_244]) ).
cnf(refute_0_246,plain,
( multiply(X_47,multiply(inverse(X_4),X_48)) != multiply(X_47,divide(X_48,X_4))
| multiply(X_47,multiply(inverse(X_4),X_48)) != multiply(divide(X_47,X_4),X_48)
| multiply(X_47,divide(X_48,X_4)) = multiply(divide(X_47,X_4),X_48) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_47,multiply(inverse(X_4),X_48)),multiply(divide(X_47,X_4),X_48)) ),[0],$fot(multiply(X_47,divide(X_48,X_4)))]]) ).
cnf(refute_0_247,plain,
( multiply(X_47,multiply(inverse(X_4),X_48)) != multiply(divide(X_47,X_4),X_48)
| multiply(X_47,divide(X_48,X_4)) = multiply(divide(X_47,X_4),X_48) ),
inference(resolve,[$cnf( $equal(multiply(X_47,multiply(inverse(X_4),X_48)),multiply(X_47,divide(X_48,X_4))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
multiply(X_47,divide(X_48,X_4)) = multiply(divide(X_47,X_4),X_48),
inference(resolve,[$cnf( $equal(multiply(X_47,multiply(inverse(X_4),X_48)),multiply(divide(X_47,X_4),X_48)) )],[refute_0_211,refute_0_247]) ).
cnf(refute_0_249,plain,
( multiply(X_47,divide(X_48,X_4)) != multiply(divide(X_47,X_4),X_48)
| multiply(divide(X_47,X_4),X_48) = multiply(X_47,divide(X_48,X_4)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_47,divide(X_48,X_4)))),bind(Y0,$fot(multiply(divide(X_47,X_4),X_48)))]]) ).
cnf(refute_0_250,plain,
multiply(divide(X_47,X_4),X_48) = multiply(X_47,divide(X_48,X_4)),
inference(resolve,[$cnf( $equal(multiply(X_47,divide(X_48,X_4)),multiply(divide(X_47,X_4),X_48)) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
multiply(divide(X_31,X_32),X_33) = multiply(X_31,divide(X_33,X_32)),
inference(subst,[],[refute_0_250:[bind(X_4,$fot(X_32)),bind(X_47,$fot(X_31)),bind(X_48,$fot(X_33))]]) ).
cnf(refute_0_252,plain,
multiply(X_32,multiply(divide(X_31,X_32),X_33)) = multiply(X_32,multiply(divide(X_31,X_32),X_33)),
introduced(tautology,[refl,[$fot(multiply(X_32,multiply(divide(X_31,X_32),X_33)))]]) ).
cnf(refute_0_253,plain,
( multiply(X_32,multiply(divide(X_31,X_32),X_33)) != multiply(X_32,multiply(divide(X_31,X_32),X_33))
| multiply(divide(X_31,X_32),X_33) != multiply(X_31,divide(X_33,X_32))
| multiply(X_32,multiply(divide(X_31,X_32),X_33)) = multiply(X_32,multiply(X_31,divide(X_33,X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_32,multiply(divide(X_31,X_32),X_33)),multiply(X_32,multiply(divide(X_31,X_32),X_33))) ),[1,1],$fot(multiply(X_31,divide(X_33,X_32)))]]) ).
cnf(refute_0_254,plain,
( multiply(divide(X_31,X_32),X_33) != multiply(X_31,divide(X_33,X_32))
| multiply(X_32,multiply(divide(X_31,X_32),X_33)) = multiply(X_32,multiply(X_31,divide(X_33,X_32))) ),
inference(resolve,[$cnf( $equal(multiply(X_32,multiply(divide(X_31,X_32),X_33)),multiply(X_32,multiply(divide(X_31,X_32),X_33))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
multiply(X_32,multiply(divide(X_31,X_32),X_33)) = multiply(X_32,multiply(X_31,divide(X_33,X_32))),
inference(resolve,[$cnf( $equal(multiply(divide(X_31,X_32),X_33),multiply(X_31,divide(X_33,X_32))) )],[refute_0_251,refute_0_254]) ).
cnf(refute_0_256,plain,
( multiply(X_32,multiply(divide(X_31,X_32),X_33)) != multiply(X_31,X_33)
| multiply(X_32,multiply(divide(X_31,X_32),X_33)) != multiply(X_32,multiply(X_31,divide(X_33,X_32)))
| multiply(X_32,multiply(X_31,divide(X_33,X_32))) = multiply(X_31,X_33) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_32,multiply(divide(X_31,X_32),X_33)),multiply(X_31,X_33)) ),[0],$fot(multiply(X_32,multiply(X_31,divide(X_33,X_32))))]]) ).
cnf(refute_0_257,plain,
( multiply(X_32,multiply(divide(X_31,X_32),X_33)) != multiply(X_31,X_33)
| multiply(X_32,multiply(X_31,divide(X_33,X_32))) = multiply(X_31,X_33) ),
inference(resolve,[$cnf( $equal(multiply(X_32,multiply(divide(X_31,X_32),X_33)),multiply(X_32,multiply(X_31,divide(X_33,X_32)))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
multiply(X_32,multiply(X_31,divide(X_33,X_32))) = multiply(X_31,X_33),
inference(resolve,[$cnf( $equal(multiply(X_32,multiply(divide(X_31,X_32),X_33)),multiply(X_31,X_33)) )],[refute_0_102,refute_0_257]) ).
cnf(refute_0_259,plain,
multiply(X_80,multiply(X_79,divide(multiply(X_31,X_33),X_80))) = multiply(X_79,multiply(X_31,X_33)),
inference(subst,[],[refute_0_258:[bind(X_31,$fot(X_79)),bind(X_32,$fot(X_80)),bind(X_33,$fot(multiply(X_31,X_33)))]]) ).
cnf(refute_0_260,plain,
divide(multiply(X_31,X_33),divide(multiply(X_31,X_33),multiply(divide(X_31,X_32),X_33))) = multiply(divide(X_31,X_32),X_33),
inference(subst,[],[refute_0_236:[bind(X_2,$fot(multiply(X_31,X_33))),bind(X_4,$fot(multiply(divide(X_31,X_32),X_33)))]]) ).
cnf(refute_0_261,plain,
( divide(multiply(X_31,X_33),multiply(divide(X_31,X_32),X_33)) != X_32
| divide(multiply(X_31,X_33),divide(multiply(X_31,X_33),multiply(divide(X_31,X_32),X_33))) != multiply(divide(X_31,X_32),X_33)
| divide(multiply(X_31,X_33),X_32) = multiply(divide(X_31,X_32),X_33) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_31,X_33),divide(multiply(X_31,X_33),multiply(divide(X_31,X_32),X_33))),multiply(divide(X_31,X_32),X_33)) ),[0,1],$fot(X_32)]]) ).
cnf(refute_0_262,plain,
( divide(multiply(X_31,X_33),divide(multiply(X_31,X_33),multiply(divide(X_31,X_32),X_33))) != multiply(divide(X_31,X_32),X_33)
| divide(multiply(X_31,X_33),X_32) = multiply(divide(X_31,X_32),X_33) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_31,X_33),multiply(divide(X_31,X_32),X_33)),X_32) )],[refute_0_99,refute_0_261]) ).
cnf(refute_0_263,plain,
divide(multiply(X_31,X_33),X_32) = multiply(divide(X_31,X_32),X_33),
inference(resolve,[$cnf( $equal(divide(multiply(X_31,X_33),divide(multiply(X_31,X_33),multiply(divide(X_31,X_32),X_33))),multiply(divide(X_31,X_32),X_33)) )],[refute_0_260,refute_0_262]) ).
cnf(refute_0_264,plain,
( multiply(divide(X_31,X_32),X_33) != multiply(X_31,divide(X_33,X_32))
| divide(multiply(X_31,X_33),X_32) != multiply(divide(X_31,X_32),X_33)
| divide(multiply(X_31,X_33),X_32) = multiply(X_31,divide(X_33,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_31,X_33),X_32),multiply(divide(X_31,X_32),X_33)) ),[1],$fot(multiply(X_31,divide(X_33,X_32)))]]) ).
cnf(refute_0_265,plain,
( divide(multiply(X_31,X_33),X_32) != multiply(divide(X_31,X_32),X_33)
| divide(multiply(X_31,X_33),X_32) = multiply(X_31,divide(X_33,X_32)) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_31,X_32),X_33),multiply(X_31,divide(X_33,X_32))) )],[refute_0_251,refute_0_264]) ).
cnf(refute_0_266,plain,
divide(multiply(X_31,X_33),X_32) = multiply(X_31,divide(X_33,X_32)),
inference(resolve,[$cnf( $equal(divide(multiply(X_31,X_33),X_32),multiply(divide(X_31,X_32),X_33)) )],[refute_0_263,refute_0_265]) ).
cnf(refute_0_267,plain,
divide(multiply(X_31,X_33),X_80) = multiply(X_31,divide(X_33,X_80)),
inference(subst,[],[refute_0_266:[bind(X_32,$fot(X_80))]]) ).
cnf(refute_0_268,plain,
( multiply(X_80,multiply(X_79,divide(multiply(X_31,X_33),X_80))) != multiply(X_79,multiply(X_31,X_33))
| divide(multiply(X_31,X_33),X_80) != multiply(X_31,divide(X_33,X_80))
| multiply(X_80,multiply(X_79,multiply(X_31,divide(X_33,X_80)))) = multiply(X_79,multiply(X_31,X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_80,multiply(X_79,divide(multiply(X_31,X_33),X_80))),multiply(X_79,multiply(X_31,X_33))) ),[0,1,1],$fot(multiply(X_31,divide(X_33,X_80)))]]) ).
cnf(refute_0_269,plain,
( multiply(X_80,multiply(X_79,divide(multiply(X_31,X_33),X_80))) != multiply(X_79,multiply(X_31,X_33))
| multiply(X_80,multiply(X_79,multiply(X_31,divide(X_33,X_80)))) = multiply(X_79,multiply(X_31,X_33)) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_31,X_33),X_80),multiply(X_31,divide(X_33,X_80))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
multiply(X_80,multiply(X_79,multiply(X_31,divide(X_33,X_80)))) = multiply(X_79,multiply(X_31,X_33)),
inference(resolve,[$cnf( $equal(multiply(X_80,multiply(X_79,divide(multiply(X_31,X_33),X_80))),multiply(X_79,multiply(X_31,X_33))) )],[refute_0_259,refute_0_269]) ).
cnf(refute_0_271,plain,
multiply(X_32,multiply(divide(X_31,X_32),multiply(divide(X_46,divide(X_31,X_32)),X_48))) = multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48)),
inference(subst,[],[refute_0_102:[bind(X_33,$fot(multiply(divide(X_46,divide(X_31,X_32)),X_48)))]]) ).
cnf(refute_0_272,plain,
multiply(divide(X_31,X_32),multiply(divide(X_46,divide(X_31,X_32)),X_48)) = multiply(X_46,X_48),
inference(subst,[],[refute_0_102:[bind(X_31,$fot(X_46)),bind(X_32,$fot(divide(X_31,X_32))),bind(X_33,$fot(X_48))]]) ).
cnf(refute_0_273,plain,
( multiply(X_32,multiply(divide(X_31,X_32),multiply(divide(X_46,divide(X_31,X_32)),X_48))) != multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48))
| multiply(divide(X_31,X_32),multiply(divide(X_46,divide(X_31,X_32)),X_48)) != multiply(X_46,X_48)
| multiply(X_32,multiply(X_46,X_48)) = multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_32,multiply(divide(X_31,X_32),multiply(divide(X_46,divide(X_31,X_32)),X_48))),multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48))) ),[0,1],$fot(multiply(X_46,X_48))]]) ).
cnf(refute_0_274,plain,
( multiply(X_32,multiply(divide(X_31,X_32),multiply(divide(X_46,divide(X_31,X_32)),X_48))) != multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48))
| multiply(X_32,multiply(X_46,X_48)) = multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48)) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_31,X_32),multiply(divide(X_46,divide(X_31,X_32)),X_48)),multiply(X_46,X_48)) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
multiply(X_32,multiply(X_46,X_48)) = multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48)),
inference(resolve,[$cnf( $equal(multiply(X_32,multiply(divide(X_31,X_32),multiply(divide(X_46,divide(X_31,X_32)),X_48))),multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48))) )],[refute_0_271,refute_0_274]) ).
cnf(refute_0_276,plain,
multiply(divide(X_46,divide(X_31,X_32)),X_48) = multiply(X_46,divide(X_48,divide(X_31,X_32))),
inference(subst,[],[refute_0_250:[bind(X_4,$fot(divide(X_31,X_32))),bind(X_47,$fot(X_46))]]) ).
cnf(refute_0_277,plain,
multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48)) = multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48)),
introduced(tautology,[refl,[$fot(multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48)))]]) ).
cnf(refute_0_278,plain,
( multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48)) != multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48))
| multiply(divide(X_46,divide(X_31,X_32)),X_48) != multiply(X_46,divide(X_48,divide(X_31,X_32)))
| multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48)) = multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48)),multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48))) ),[1,1],$fot(multiply(X_46,divide(X_48,divide(X_31,X_32))))]]) ).
cnf(refute_0_279,plain,
( multiply(divide(X_46,divide(X_31,X_32)),X_48) != multiply(X_46,divide(X_48,divide(X_31,X_32)))
| multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48)) = multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32)))) ),
inference(resolve,[$cnf( $equal(multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48)),multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48))) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48)) = multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32)))),
inference(resolve,[$cnf( $equal(multiply(divide(X_46,divide(X_31,X_32)),X_48),multiply(X_46,divide(X_48,divide(X_31,X_32)))) )],[refute_0_276,refute_0_279]) ).
cnf(refute_0_281,plain,
( multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48)) != multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32))))
| multiply(X_32,multiply(X_46,X_48)) != multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48))
| multiply(X_32,multiply(X_46,X_48)) = multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_32,multiply(X_46,X_48)),multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48))) ),[1],$fot(multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32)))))]]) ).
cnf(refute_0_282,plain,
( multiply(X_32,multiply(X_46,X_48)) != multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48))
| multiply(X_32,multiply(X_46,X_48)) = multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32)))) ),
inference(resolve,[$cnf( $equal(multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48)),multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32))))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
multiply(X_32,multiply(X_46,X_48)) = multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32)))),
inference(resolve,[$cnf( $equal(multiply(X_32,multiply(X_46,X_48)),multiply(X_31,multiply(divide(X_46,divide(X_31,X_32)),X_48))) )],[refute_0_275,refute_0_282]) ).
cnf(refute_0_284,plain,
multiply(X_23,inverse(divide(X_57,X_58))) = divide(X_23,divide(X_57,X_58)),
inference(subst,[],[refute_0_55:[bind(X_16,$fot(divide(X_57,X_58)))]]) ).
cnf(refute_0_285,plain,
multiply(divide(inverse(divide(inverse(X_3),X_21)),X_3),X_3) = inverse(divide(inverse(X_3),X_21)),
inference(subst,[],[refute_0_82:[bind(X_4,$fot(inverse(divide(inverse(X_3),X_21))))]]) ).
cnf(refute_0_286,plain,
divide(inverse(divide(inverse(X_3),X_21)),X_3) = X_21,
inference(subst,[],[refute_0_216:[bind(X_4,$fot(X_21)),bind(X_6,$fot(X_3))]]) ).
cnf(refute_0_287,plain,
( multiply(divide(inverse(divide(inverse(X_3),X_21)),X_3),X_3) != inverse(divide(inverse(X_3),X_21))
| divide(inverse(divide(inverse(X_3),X_21)),X_3) != X_21
| multiply(X_21,X_3) = inverse(divide(inverse(X_3),X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(divide(inverse(X_3),X_21)),X_3),X_3),inverse(divide(inverse(X_3),X_21))) ),[0,0],$fot(X_21)]]) ).
cnf(refute_0_288,plain,
( multiply(divide(inverse(divide(inverse(X_3),X_21)),X_3),X_3) != inverse(divide(inverse(X_3),X_21))
| multiply(X_21,X_3) = inverse(divide(inverse(X_3),X_21)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(X_3),X_21)),X_3),X_21) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
multiply(X_21,X_3) = inverse(divide(inverse(X_3),X_21)),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(divide(inverse(X_3),X_21)),X_3),X_3),inverse(divide(inverse(X_3),X_21))) )],[refute_0_285,refute_0_288]) ).
cnf(refute_0_290,plain,
multiply(X_34,inverse(X_16)) = inverse(divide(inverse(inverse(X_16)),X_34)),
inference(subst,[],[refute_0_289:[bind(X_21,$fot(X_34)),bind(X_3,$fot(inverse(X_16)))]]) ).
cnf(refute_0_291,plain,
( multiply(X_34,inverse(X_16)) != inverse(divide(inverse(inverse(X_16)),X_34))
| inverse(inverse(X_16)) != X_16
| multiply(X_34,inverse(X_16)) = inverse(divide(X_16,X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_34,inverse(X_16)),inverse(divide(inverse(inverse(X_16)),X_34))) ),[1,0,0],$fot(X_16)]]) ).
cnf(refute_0_292,plain,
( multiply(X_34,inverse(X_16)) != inverse(divide(inverse(inverse(X_16)),X_34))
| multiply(X_34,inverse(X_16)) = inverse(divide(X_16,X_34)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_16)),X_16) )],[refute_0_52,refute_0_291]) ).
cnf(refute_0_293,plain,
multiply(X_34,inverse(X_16)) = inverse(divide(X_16,X_34)),
inference(resolve,[$cnf( $equal(multiply(X_34,inverse(X_16)),inverse(divide(inverse(inverse(X_16)),X_34))) )],[refute_0_290,refute_0_292]) ).
cnf(refute_0_294,plain,
multiply(X_34,inverse(X_16)) = divide(X_34,X_16),
inference(subst,[],[refute_0_55:[bind(X_23,$fot(X_34))]]) ).
cnf(refute_0_295,plain,
( multiply(X_34,inverse(X_16)) != divide(X_34,X_16)
| multiply(X_34,inverse(X_16)) != inverse(divide(X_16,X_34))
| divide(X_34,X_16) = inverse(divide(X_16,X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_34,inverse(X_16)),inverse(divide(X_16,X_34))) ),[0],$fot(divide(X_34,X_16))]]) ).
cnf(refute_0_296,plain,
( multiply(X_34,inverse(X_16)) != inverse(divide(X_16,X_34))
| divide(X_34,X_16) = inverse(divide(X_16,X_34)) ),
inference(resolve,[$cnf( $equal(multiply(X_34,inverse(X_16)),divide(X_34,X_16)) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
divide(X_34,X_16) = inverse(divide(X_16,X_34)),
inference(resolve,[$cnf( $equal(multiply(X_34,inverse(X_16)),inverse(divide(X_16,X_34))) )],[refute_0_293,refute_0_296]) ).
cnf(refute_0_298,plain,
divide(X_58,X_57) = inverse(divide(X_57,X_58)),
inference(subst,[],[refute_0_297:[bind(X_16,$fot(X_57)),bind(X_34,$fot(X_58))]]) ).
cnf(refute_0_299,plain,
( divide(X_58,X_57) != inverse(divide(X_57,X_58))
| inverse(divide(X_57,X_58)) = divide(X_58,X_57) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(divide(X_58,X_57))),bind(Y0,$fot(inverse(divide(X_57,X_58))))]]) ).
cnf(refute_0_300,plain,
inverse(divide(X_57,X_58)) = divide(X_58,X_57),
inference(resolve,[$cnf( $equal(divide(X_58,X_57),inverse(divide(X_57,X_58))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
( multiply(X_23,inverse(divide(X_57,X_58))) != divide(X_23,divide(X_57,X_58))
| inverse(divide(X_57,X_58)) != divide(X_58,X_57)
| multiply(X_23,divide(X_58,X_57)) = divide(X_23,divide(X_57,X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_23,inverse(divide(X_57,X_58))),divide(X_23,divide(X_57,X_58))) ),[0,1],$fot(divide(X_58,X_57))]]) ).
cnf(refute_0_302,plain,
( multiply(X_23,inverse(divide(X_57,X_58))) != divide(X_23,divide(X_57,X_58))
| multiply(X_23,divide(X_58,X_57)) = divide(X_23,divide(X_57,X_58)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_57,X_58)),divide(X_58,X_57)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
multiply(X_23,divide(X_58,X_57)) = divide(X_23,divide(X_57,X_58)),
inference(resolve,[$cnf( $equal(multiply(X_23,inverse(divide(X_57,X_58))),divide(X_23,divide(X_57,X_58))) )],[refute_0_284,refute_0_302]) ).
cnf(refute_0_304,plain,
( multiply(X_23,divide(X_58,X_57)) != divide(X_23,divide(X_57,X_58))
| divide(X_23,divide(X_57,X_58)) = multiply(X_23,divide(X_58,X_57)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_23,divide(X_58,X_57)))),bind(Y0,$fot(divide(X_23,divide(X_57,X_58))))]]) ).
cnf(refute_0_305,plain,
divide(X_23,divide(X_57,X_58)) = multiply(X_23,divide(X_58,X_57)),
inference(resolve,[$cnf( $equal(multiply(X_23,divide(X_58,X_57)),divide(X_23,divide(X_57,X_58))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
divide(X_48,divide(X_31,X_32)) = multiply(X_48,divide(X_32,X_31)),
inference(subst,[],[refute_0_305:[bind(X_23,$fot(X_48)),bind(X_57,$fot(X_31)),bind(X_58,$fot(X_32))]]) ).
cnf(refute_0_307,plain,
multiply(X_46,divide(X_48,divide(X_31,X_32))) = multiply(X_46,divide(X_48,divide(X_31,X_32))),
introduced(tautology,[refl,[$fot(multiply(X_46,divide(X_48,divide(X_31,X_32))))]]) ).
cnf(refute_0_308,plain,
( multiply(X_46,divide(X_48,divide(X_31,X_32))) != multiply(X_46,divide(X_48,divide(X_31,X_32)))
| divide(X_48,divide(X_31,X_32)) != multiply(X_48,divide(X_32,X_31))
| multiply(X_46,divide(X_48,divide(X_31,X_32))) = multiply(X_46,multiply(X_48,divide(X_32,X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_46,divide(X_48,divide(X_31,X_32))),multiply(X_46,divide(X_48,divide(X_31,X_32)))) ),[1,1],$fot(multiply(X_48,divide(X_32,X_31)))]]) ).
cnf(refute_0_309,plain,
( divide(X_48,divide(X_31,X_32)) != multiply(X_48,divide(X_32,X_31))
| multiply(X_46,divide(X_48,divide(X_31,X_32))) = multiply(X_46,multiply(X_48,divide(X_32,X_31))) ),
inference(resolve,[$cnf( $equal(multiply(X_46,divide(X_48,divide(X_31,X_32))),multiply(X_46,divide(X_48,divide(X_31,X_32)))) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
multiply(X_46,divide(X_48,divide(X_31,X_32))) = multiply(X_46,multiply(X_48,divide(X_32,X_31))),
inference(resolve,[$cnf( $equal(divide(X_48,divide(X_31,X_32)),multiply(X_48,divide(X_32,X_31))) )],[refute_0_306,refute_0_309]) ).
cnf(refute_0_311,plain,
multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32)))) = multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32)))),
introduced(tautology,[refl,[$fot(multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32)))))]]) ).
cnf(refute_0_312,plain,
( multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32)))) != multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32))))
| multiply(X_46,divide(X_48,divide(X_31,X_32))) != multiply(X_46,multiply(X_48,divide(X_32,X_31)))
| multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32)))) = multiply(X_31,multiply(X_46,multiply(X_48,divide(X_32,X_31)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32)))),multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32))))) ),[1,1],$fot(multiply(X_46,multiply(X_48,divide(X_32,X_31))))]]) ).
cnf(refute_0_313,plain,
( multiply(X_46,divide(X_48,divide(X_31,X_32))) != multiply(X_46,multiply(X_48,divide(X_32,X_31)))
| multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32)))) = multiply(X_31,multiply(X_46,multiply(X_48,divide(X_32,X_31)))) ),
inference(resolve,[$cnf( $equal(multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32)))),multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32))))) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32)))) = multiply(X_31,multiply(X_46,multiply(X_48,divide(X_32,X_31)))),
inference(resolve,[$cnf( $equal(multiply(X_46,divide(X_48,divide(X_31,X_32))),multiply(X_46,multiply(X_48,divide(X_32,X_31)))) )],[refute_0_310,refute_0_313]) ).
cnf(refute_0_315,plain,
( multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32)))) != multiply(X_31,multiply(X_46,multiply(X_48,divide(X_32,X_31))))
| multiply(X_32,multiply(X_46,X_48)) != multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32))))
| multiply(X_32,multiply(X_46,X_48)) = multiply(X_31,multiply(X_46,multiply(X_48,divide(X_32,X_31)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_32,multiply(X_46,X_48)),multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32))))) ),[1],$fot(multiply(X_31,multiply(X_46,multiply(X_48,divide(X_32,X_31)))))]]) ).
cnf(refute_0_316,plain,
( multiply(X_32,multiply(X_46,X_48)) != multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32))))
| multiply(X_32,multiply(X_46,X_48)) = multiply(X_31,multiply(X_46,multiply(X_48,divide(X_32,X_31)))) ),
inference(resolve,[$cnf( $equal(multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32)))),multiply(X_31,multiply(X_46,multiply(X_48,divide(X_32,X_31))))) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
multiply(X_32,multiply(X_46,X_48)) = multiply(X_31,multiply(X_46,multiply(X_48,divide(X_32,X_31)))),
inference(resolve,[$cnf( $equal(multiply(X_32,multiply(X_46,X_48)),multiply(X_31,multiply(X_46,divide(X_48,divide(X_31,X_32))))) )],[refute_0_283,refute_0_316]) ).
cnf(refute_0_318,plain,
( multiply(X_32,multiply(X_46,X_48)) != multiply(X_31,multiply(X_46,multiply(X_48,divide(X_32,X_31))))
| multiply(X_31,multiply(X_46,multiply(X_48,divide(X_32,X_31)))) = multiply(X_32,multiply(X_46,X_48)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_32,multiply(X_46,X_48)))),bind(Y0,$fot(multiply(X_31,multiply(X_46,multiply(X_48,divide(X_32,X_31))))))]]) ).
cnf(refute_0_319,plain,
multiply(X_31,multiply(X_46,multiply(X_48,divide(X_32,X_31)))) = multiply(X_32,multiply(X_46,X_48)),
inference(resolve,[$cnf( $equal(multiply(X_32,multiply(X_46,X_48)),multiply(X_31,multiply(X_46,multiply(X_48,divide(X_32,X_31))))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
multiply(X_80,multiply(X_79,multiply(X_31,divide(X_33,X_80)))) = multiply(X_33,multiply(X_79,X_31)),
inference(subst,[],[refute_0_319:[bind(X_31,$fot(X_80)),bind(X_32,$fot(X_33)),bind(X_46,$fot(X_79)),bind(X_48,$fot(X_31))]]) ).
cnf(refute_0_321,plain,
( multiply(X_80,multiply(X_79,multiply(X_31,divide(X_33,X_80)))) != multiply(X_33,multiply(X_79,X_31))
| multiply(X_80,multiply(X_79,multiply(X_31,divide(X_33,X_80)))) != multiply(X_79,multiply(X_31,X_33))
| multiply(X_33,multiply(X_79,X_31)) = multiply(X_79,multiply(X_31,X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_80,multiply(X_79,multiply(X_31,divide(X_33,X_80)))),multiply(X_79,multiply(X_31,X_33))) ),[0],$fot(multiply(X_33,multiply(X_79,X_31)))]]) ).
cnf(refute_0_322,plain,
( multiply(X_80,multiply(X_79,multiply(X_31,divide(X_33,X_80)))) != multiply(X_79,multiply(X_31,X_33))
| multiply(X_33,multiply(X_79,X_31)) = multiply(X_79,multiply(X_31,X_33)) ),
inference(resolve,[$cnf( $equal(multiply(X_80,multiply(X_79,multiply(X_31,divide(X_33,X_80)))),multiply(X_33,multiply(X_79,X_31))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
multiply(X_33,multiply(X_79,X_31)) = multiply(X_79,multiply(X_31,X_33)),
inference(resolve,[$cnf( $equal(multiply(X_80,multiply(X_79,multiply(X_31,divide(X_33,X_80)))),multiply(X_79,multiply(X_31,X_33))) )],[refute_0_270,refute_0_322]) ).
cnf(refute_0_324,plain,
( multiply(X_33,multiply(X_79,X_31)) != multiply(X_79,multiply(X_31,X_33))
| multiply(X_79,multiply(X_31,X_33)) = multiply(X_33,multiply(X_79,X_31)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_33,multiply(X_79,X_31)))),bind(Y0,$fot(multiply(X_79,multiply(X_31,X_33))))]]) ).
cnf(refute_0_325,plain,
multiply(X_79,multiply(X_31,X_33)) = multiply(X_33,multiply(X_79,X_31)),
inference(resolve,[$cnf( $equal(multiply(X_33,multiply(X_79,X_31)),multiply(X_79,multiply(X_31,X_33))) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
multiply(b2,multiply(inverse(b2),a2)) = multiply(a2,multiply(b2,inverse(b2))),
inference(subst,[],[refute_0_325:[bind(X_31,$fot(inverse(b2))),bind(X_33,$fot(a2)),bind(X_79,$fot(b2))]]) ).
cnf(refute_0_327,plain,
multiply(inverse(b2),multiply(a2,b2)) = multiply(b2,multiply(inverse(b2),a2)),
inference(subst,[],[refute_0_325:[bind(X_31,$fot(a2)),bind(X_33,$fot(b2)),bind(X_79,$fot(inverse(b2)))]]) ).
cnf(refute_0_328,plain,
( multiply(b2,multiply(inverse(b2),a2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(inverse(b2),multiply(a2,b2)) != multiply(b2,multiply(inverse(b2),a2))
| multiply(inverse(b2),multiply(a2,b2)) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(inverse(b2),multiply(a2,b2)))),bind(Y0,$fot(multiply(b2,multiply(inverse(b2),a2)))),bind(Z0,$fot(multiply(a2,multiply(b2,inverse(b2)))))]]) ).
cnf(refute_0_329,plain,
( multiply(b2,multiply(inverse(b2),a2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(inverse(b2),multiply(a2,b2)) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b2),multiply(a2,b2)),multiply(b2,multiply(inverse(b2),a2))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
multiply(inverse(b2),multiply(a2,b2)) = multiply(a2,multiply(b2,inverse(b2))),
inference(resolve,[$cnf( $equal(multiply(b2,multiply(inverse(b2),a2)),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_326,refute_0_329]) ).
cnf(refute_0_331,plain,
multiply(X_47,multiply(divide(X_46,X_47),divide(X_4,divide(X_46,X_47)))) = multiply(X_46,divide(X_4,divide(X_46,X_47))),
inference(subst,[],[refute_0_102:[bind(X_31,$fot(X_46)),bind(X_32,$fot(X_47)),bind(X_33,$fot(divide(X_4,divide(X_46,X_47))))]]) ).
cnf(refute_0_332,plain,
multiply(divide(X_4,divide(X_4,X_28)),divide(X_4,X_28)) = X_4,
inference(subst,[],[refute_0_82:[bind(X_3,$fot(divide(X_4,X_28)))]]) ).
cnf(refute_0_333,plain,
divide(X_4,divide(X_4,X_28)) = X_28,
inference(subst,[],[refute_0_236:[bind(X_2,$fot(X_4)),bind(X_4,$fot(X_28))]]) ).
cnf(refute_0_334,plain,
( multiply(divide(X_4,divide(X_4,X_28)),divide(X_4,X_28)) != X_4
| divide(X_4,divide(X_4,X_28)) != X_28
| multiply(X_28,divide(X_4,X_28)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_4,divide(X_4,X_28)),divide(X_4,X_28)),X_4) ),[0,0],$fot(X_28)]]) ).
cnf(refute_0_335,plain,
( multiply(divide(X_4,divide(X_4,X_28)),divide(X_4,X_28)) != X_4
| multiply(X_28,divide(X_4,X_28)) = X_4 ),
inference(resolve,[$cnf( $equal(divide(X_4,divide(X_4,X_28)),X_28) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
multiply(X_28,divide(X_4,X_28)) = X_4,
inference(resolve,[$cnf( $equal(multiply(divide(X_4,divide(X_4,X_28)),divide(X_4,X_28)),X_4) )],[refute_0_332,refute_0_335]) ).
cnf(refute_0_337,plain,
multiply(divide(X_46,X_47),divide(X_4,divide(X_46,X_47))) = X_4,
inference(subst,[],[refute_0_336:[bind(X_28,$fot(divide(X_46,X_47)))]]) ).
cnf(refute_0_338,plain,
( multiply(X_47,multiply(divide(X_46,X_47),divide(X_4,divide(X_46,X_47)))) != multiply(X_46,divide(X_4,divide(X_46,X_47)))
| multiply(divide(X_46,X_47),divide(X_4,divide(X_46,X_47))) != X_4
| multiply(X_47,X_4) = multiply(X_46,divide(X_4,divide(X_46,X_47))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_47,multiply(divide(X_46,X_47),divide(X_4,divide(X_46,X_47)))),multiply(X_46,divide(X_4,divide(X_46,X_47)))) ),[0,1],$fot(X_4)]]) ).
cnf(refute_0_339,plain,
( multiply(X_47,multiply(divide(X_46,X_47),divide(X_4,divide(X_46,X_47)))) != multiply(X_46,divide(X_4,divide(X_46,X_47)))
| multiply(X_47,X_4) = multiply(X_46,divide(X_4,divide(X_46,X_47))) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_46,X_47),divide(X_4,divide(X_46,X_47))),X_4) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
multiply(X_47,X_4) = multiply(X_46,divide(X_4,divide(X_46,X_47))),
inference(resolve,[$cnf( $equal(multiply(X_47,multiply(divide(X_46,X_47),divide(X_4,divide(X_46,X_47)))),multiply(X_46,divide(X_4,divide(X_46,X_47)))) )],[refute_0_331,refute_0_339]) ).
cnf(refute_0_341,plain,
multiply(multiply(X_55,Y),X_54) = multiply(X_55,divide(X_54,divide(X_55,multiply(X_55,Y)))),
inference(subst,[],[refute_0_340:[bind(X_4,$fot(X_54)),bind(X_46,$fot(X_55)),bind(X_47,$fot(multiply(X_55,Y)))]]) ).
cnf(refute_0_342,plain,
divide(X_27,divide(X_27,inverse(Y))) = inverse(Y),
inference(subst,[],[refute_0_236:[bind(X_2,$fot(X_27)),bind(X_4,$fot(inverse(Y)))]]) ).
cnf(refute_0_343,plain,
multiply(X_27,Y) = divide(X_27,inverse(Y)),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_27))]]) ).
cnf(refute_0_344,plain,
( multiply(X_27,Y) != divide(X_27,inverse(Y))
| divide(X_27,inverse(Y)) = multiply(X_27,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_27,Y))),bind(Y0,$fot(divide(X_27,inverse(Y))))]]) ).
cnf(refute_0_345,plain,
divide(X_27,inverse(Y)) = multiply(X_27,Y),
inference(resolve,[$cnf( $equal(multiply(X_27,Y),divide(X_27,inverse(Y))) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
( divide(X_27,divide(X_27,inverse(Y))) != inverse(Y)
| divide(X_27,inverse(Y)) != multiply(X_27,Y)
| divide(X_27,multiply(X_27,Y)) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_27,divide(X_27,inverse(Y))),inverse(Y)) ),[0,1],$fot(multiply(X_27,Y))]]) ).
cnf(refute_0_347,plain,
( divide(X_27,divide(X_27,inverse(Y))) != inverse(Y)
| divide(X_27,multiply(X_27,Y)) = inverse(Y) ),
inference(resolve,[$cnf( $equal(divide(X_27,inverse(Y)),multiply(X_27,Y)) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
divide(X_27,multiply(X_27,Y)) = inverse(Y),
inference(resolve,[$cnf( $equal(divide(X_27,divide(X_27,inverse(Y))),inverse(Y)) )],[refute_0_342,refute_0_347]) ).
cnf(refute_0_349,plain,
divide(X_55,multiply(X_55,Y)) = inverse(Y),
inference(subst,[],[refute_0_348:[bind(X_27,$fot(X_55))]]) ).
cnf(refute_0_350,plain,
( multiply(multiply(X_55,Y),X_54) != multiply(X_55,divide(X_54,divide(X_55,multiply(X_55,Y))))
| divide(X_55,multiply(X_55,Y)) != inverse(Y)
| multiply(multiply(X_55,Y),X_54) = multiply(X_55,divide(X_54,inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_55,Y),X_54),multiply(X_55,divide(X_54,divide(X_55,multiply(X_55,Y))))) ),[1,1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_351,plain,
( multiply(multiply(X_55,Y),X_54) != multiply(X_55,divide(X_54,divide(X_55,multiply(X_55,Y))))
| multiply(multiply(X_55,Y),X_54) = multiply(X_55,divide(X_54,inverse(Y))) ),
inference(resolve,[$cnf( $equal(divide(X_55,multiply(X_55,Y)),inverse(Y)) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
multiply(multiply(X_55,Y),X_54) = multiply(X_55,divide(X_54,inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_55,Y),X_54),multiply(X_55,divide(X_54,divide(X_55,multiply(X_55,Y))))) )],[refute_0_341,refute_0_351]) ).
cnf(refute_0_353,plain,
divide(X_54,inverse(Y)) = multiply(X_54,Y),
inference(subst,[],[refute_0_70:[bind(X,$fot(X_54))]]) ).
cnf(refute_0_354,plain,
multiply(X_55,divide(X_54,inverse(Y))) = multiply(X_55,divide(X_54,inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(X_55,divide(X_54,inverse(Y))))]]) ).
cnf(refute_0_355,plain,
( multiply(X_55,divide(X_54,inverse(Y))) != multiply(X_55,divide(X_54,inverse(Y)))
| divide(X_54,inverse(Y)) != multiply(X_54,Y)
| multiply(X_55,divide(X_54,inverse(Y))) = multiply(X_55,multiply(X_54,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_55,divide(X_54,inverse(Y))),multiply(X_55,divide(X_54,inverse(Y)))) ),[1,1],$fot(multiply(X_54,Y))]]) ).
cnf(refute_0_356,plain,
( divide(X_54,inverse(Y)) != multiply(X_54,Y)
| multiply(X_55,divide(X_54,inverse(Y))) = multiply(X_55,multiply(X_54,Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_55,divide(X_54,inverse(Y))),multiply(X_55,divide(X_54,inverse(Y)))) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
multiply(X_55,divide(X_54,inverse(Y))) = multiply(X_55,multiply(X_54,Y)),
inference(resolve,[$cnf( $equal(divide(X_54,inverse(Y)),multiply(X_54,Y)) )],[refute_0_353,refute_0_356]) ).
cnf(refute_0_358,plain,
( multiply(X_55,divide(X_54,inverse(Y))) != multiply(X_55,multiply(X_54,Y))
| multiply(multiply(X_55,Y),X_54) != multiply(X_55,divide(X_54,inverse(Y)))
| multiply(multiply(X_55,Y),X_54) = multiply(X_55,multiply(X_54,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_55,Y),X_54),multiply(X_55,divide(X_54,inverse(Y)))) ),[1],$fot(multiply(X_55,multiply(X_54,Y)))]]) ).
cnf(refute_0_359,plain,
( multiply(multiply(X_55,Y),X_54) != multiply(X_55,divide(X_54,inverse(Y)))
| multiply(multiply(X_55,Y),X_54) = multiply(X_55,multiply(X_54,Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_55,divide(X_54,inverse(Y))),multiply(X_55,multiply(X_54,Y))) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
multiply(multiply(X_55,Y),X_54) = multiply(X_55,multiply(X_54,Y)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_55,Y),X_54),multiply(X_55,divide(X_54,inverse(Y)))) )],[refute_0_352,refute_0_359]) ).
cnf(refute_0_361,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(inverse(b2),multiply(a2,b2)),
inference(subst,[],[refute_0_360:[bind(Y,$fot(b2)),bind(X_54,$fot(a2)),bind(X_55,$fot(inverse(b2)))]]) ).
cnf(refute_0_362,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(inverse(b2),multiply(a2,b2))
| multiply(inverse(b2),multiply(a2,b2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y0,$fot(multiply(inverse(b2),multiply(a2,b2)))),bind(Z0,$fot(multiply(a2,multiply(b2,inverse(b2)))))]]) ).
cnf(refute_0_363,plain,
( multiply(inverse(b2),multiply(a2,b2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(inverse(b2),multiply(a2,b2))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))),
inference(resolve,[$cnf( $equal(multiply(inverse(b2),multiply(a2,b2)),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_330,refute_0_363]) ).
cnf(refute_0_365,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(a2,multiply(b2,inverse(b2))) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y0,$fot(multiply(a2,multiply(b2,inverse(b2))))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_366,plain,
( multiply(a2,multiply(b2,inverse(b2))) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
multiply(multiply(inverse(b2),b2),a2) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),a2) )],[refute_0_200,refute_0_366]) ).
cnf(refute_0_368,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_369,plain,
( a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4)
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_369,refute_0_132]) ).
cnf(refute_0_371,plain,
multiply(X,multiply(X_73,X_72)) = divide(X,inverse(multiply(X_73,X_72))),
inference(subst,[],[refute_0_15:[bind(Y,$fot(multiply(X_73,X_72)))]]) ).
cnf(refute_0_372,plain,
multiply(inverse(X_60),inverse(X_16)) = divide(inverse(X_60),X_16),
inference(subst,[],[refute_0_55:[bind(X_23,$fot(inverse(X_60)))]]) ).
cnf(refute_0_373,plain,
multiply(inverse(X_60),inverse(X_16)) = divide(inverse(X_16),X_60),
inference(subst,[],[refute_0_240:[bind(X_29,$fot(inverse(X_16))),bind(X_4,$fot(X_60))]]) ).
cnf(refute_0_374,plain,
( multiply(inverse(X_60),inverse(X_16)) != divide(inverse(X_16),X_60)
| multiply(inverse(X_60),inverse(X_16)) != divide(inverse(X_60),X_16)
| divide(inverse(X_16),X_60) = divide(inverse(X_60),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_60),inverse(X_16)),divide(inverse(X_60),X_16)) ),[0],$fot(divide(inverse(X_16),X_60))]]) ).
cnf(refute_0_375,plain,
( multiply(inverse(X_60),inverse(X_16)) != divide(inverse(X_60),X_16)
| divide(inverse(X_16),X_60) = divide(inverse(X_60),X_16) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_60),inverse(X_16)),divide(inverse(X_16),X_60)) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
divide(inverse(X_16),X_60) = divide(inverse(X_60),X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(X_60),inverse(X_16)),divide(inverse(X_60),X_16)) )],[refute_0_372,refute_0_375]) ).
cnf(refute_0_377,plain,
inverse(inverse(divide(inverse(X_35),X_34))) = divide(inverse(X_35),X_34),
inference(subst,[],[refute_0_52:[bind(X_16,$fot(divide(inverse(X_35),X_34)))]]) ).
cnf(refute_0_378,plain,
multiply(X_34,X_35) = inverse(divide(inverse(X_35),X_34)),
inference(subst,[],[refute_0_289:[bind(X_21,$fot(X_34)),bind(X_3,$fot(X_35))]]) ).
cnf(refute_0_379,plain,
( multiply(X_34,X_35) != inverse(divide(inverse(X_35),X_34))
| inverse(divide(inverse(X_35),X_34)) = multiply(X_34,X_35) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_34,X_35))),bind(Y0,$fot(inverse(divide(inverse(X_35),X_34))))]]) ).
cnf(refute_0_380,plain,
inverse(divide(inverse(X_35),X_34)) = multiply(X_34,X_35),
inference(resolve,[$cnf( $equal(multiply(X_34,X_35),inverse(divide(inverse(X_35),X_34))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
( inverse(divide(inverse(X_35),X_34)) != multiply(X_34,X_35)
| inverse(inverse(divide(inverse(X_35),X_34))) != divide(inverse(X_35),X_34)
| inverse(multiply(X_34,X_35)) = divide(inverse(X_35),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(inverse(X_35),X_34))),divide(inverse(X_35),X_34)) ),[0,0],$fot(multiply(X_34,X_35))]]) ).
cnf(refute_0_382,plain,
( inverse(inverse(divide(inverse(X_35),X_34))) != divide(inverse(X_35),X_34)
| inverse(multiply(X_34,X_35)) = divide(inverse(X_35),X_34) ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_35),X_34)),multiply(X_34,X_35)) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
inverse(multiply(X_34,X_35)) = divide(inverse(X_35),X_34),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(inverse(X_35),X_34))),divide(inverse(X_35),X_34)) )],[refute_0_377,refute_0_382]) ).
cnf(refute_0_384,plain,
( inverse(multiply(X_34,X_35)) != divide(inverse(X_35),X_34)
| divide(inverse(X_35),X_34) = inverse(multiply(X_34,X_35)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_34,X_35)))),bind(Y0,$fot(divide(inverse(X_35),X_34)))]]) ).
cnf(refute_0_385,plain,
divide(inverse(X_35),X_34) = inverse(multiply(X_34,X_35)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_34,X_35)),divide(inverse(X_35),X_34)) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
divide(inverse(X_16),X_60) = inverse(multiply(X_60,X_16)),
inference(subst,[],[refute_0_385:[bind(X_34,$fot(X_60)),bind(X_35,$fot(X_16))]]) ).
cnf(refute_0_387,plain,
( divide(inverse(X_16),X_60) != divide(inverse(X_60),X_16)
| divide(inverse(X_16),X_60) != inverse(multiply(X_60,X_16))
| inverse(multiply(X_60,X_16)) = divide(inverse(X_60),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_16),X_60),divide(inverse(X_60),X_16)) ),[0],$fot(inverse(multiply(X_60,X_16)))]]) ).
cnf(refute_0_388,plain,
( divide(inverse(X_16),X_60) != divide(inverse(X_60),X_16)
| inverse(multiply(X_60,X_16)) = divide(inverse(X_60),X_16) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_16),X_60),inverse(multiply(X_60,X_16))) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
divide(inverse(X_60),X_16) = inverse(multiply(X_16,X_60)),
inference(subst,[],[refute_0_385:[bind(X_34,$fot(X_16)),bind(X_35,$fot(X_60))]]) ).
cnf(refute_0_390,plain,
( divide(inverse(X_60),X_16) != inverse(multiply(X_16,X_60))
| inverse(multiply(X_60,X_16)) != divide(inverse(X_60),X_16)
| inverse(multiply(X_60,X_16)) = inverse(multiply(X_16,X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_60,X_16)),divide(inverse(X_60),X_16)) ),[1],$fot(inverse(multiply(X_16,X_60)))]]) ).
cnf(refute_0_391,plain,
( inverse(multiply(X_60,X_16)) != divide(inverse(X_60),X_16)
| inverse(multiply(X_60,X_16)) = inverse(multiply(X_16,X_60)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_60),X_16),inverse(multiply(X_16,X_60))) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
( divide(inverse(X_16),X_60) != divide(inverse(X_60),X_16)
| inverse(multiply(X_60,X_16)) = inverse(multiply(X_16,X_60)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_60,X_16)),divide(inverse(X_60),X_16)) )],[refute_0_388,refute_0_391]) ).
cnf(refute_0_393,plain,
inverse(multiply(X_60,X_16)) = inverse(multiply(X_16,X_60)),
inference(resolve,[$cnf( $equal(divide(inverse(X_16),X_60),divide(inverse(X_60),X_16)) )],[refute_0_376,refute_0_392]) ).
cnf(refute_0_394,plain,
inverse(multiply(X_73,X_72)) = inverse(multiply(X_72,X_73)),
inference(subst,[],[refute_0_393:[bind(X_16,$fot(X_72)),bind(X_60,$fot(X_73))]]) ).
cnf(refute_0_395,plain,
( multiply(X,multiply(X_73,X_72)) != divide(X,inverse(multiply(X_73,X_72)))
| inverse(multiply(X_73,X_72)) != inverse(multiply(X_72,X_73))
| multiply(X,multiply(X_73,X_72)) = divide(X,inverse(multiply(X_72,X_73))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_73,X_72)),divide(X,inverse(multiply(X_73,X_72)))) ),[1,1],$fot(inverse(multiply(X_72,X_73)))]]) ).
cnf(refute_0_396,plain,
( multiply(X,multiply(X_73,X_72)) != divide(X,inverse(multiply(X_73,X_72)))
| multiply(X,multiply(X_73,X_72)) = divide(X,inverse(multiply(X_72,X_73))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_73,X_72)),inverse(multiply(X_72,X_73))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
multiply(X,multiply(X_73,X_72)) = divide(X,inverse(multiply(X_72,X_73))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_73,X_72)),divide(X,inverse(multiply(X_73,X_72)))) )],[refute_0_371,refute_0_396]) ).
cnf(refute_0_398,plain,
divide(X,inverse(multiply(X_72,X_73))) = multiply(X,multiply(X_72,X_73)),
inference(subst,[],[refute_0_70:[bind(Y,$fot(multiply(X_72,X_73)))]]) ).
cnf(refute_0_399,plain,
( multiply(X,multiply(X_73,X_72)) != divide(X,inverse(multiply(X_72,X_73)))
| divide(X,inverse(multiply(X_72,X_73))) != multiply(X,multiply(X_72,X_73))
| multiply(X,multiply(X_73,X_72)) = multiply(X,multiply(X_72,X_73)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,multiply(X_73,X_72)),multiply(X,multiply(X_72,X_73))) ),[0],$fot(divide(X,inverse(multiply(X_72,X_73))))]]) ).
cnf(refute_0_400,plain,
( multiply(X,multiply(X_73,X_72)) != divide(X,inverse(multiply(X_72,X_73)))
| multiply(X,multiply(X_73,X_72)) = multiply(X,multiply(X_72,X_73)) ),
inference(resolve,[$cnf( $equal(divide(X,inverse(multiply(X_72,X_73))),multiply(X,multiply(X_72,X_73))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
multiply(X,multiply(X_73,X_72)) = multiply(X,multiply(X_72,X_73)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_73,X_72)),divide(X,inverse(multiply(X_72,X_73)))) )],[refute_0_397,refute_0_400]) ).
cnf(refute_0_402,plain,
( multiply(X,multiply(X_73,X_72)) != multiply(X,multiply(X_72,X_73))
| multiply(X,multiply(X_72,X_73)) = multiply(X,multiply(X_73,X_72)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,multiply(X_73,X_72)))),bind(Y0,$fot(multiply(X,multiply(X_72,X_73))))]]) ).
cnf(refute_0_403,plain,
multiply(X,multiply(X_72,X_73)) = multiply(X,multiply(X_73,X_72)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_73,X_72)),multiply(X,multiply(X_72,X_73))) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_403:[bind(X,$fot(a3)),bind(X_72,$fot(c3)),bind(X_73,$fot(b3))]]) ).
cnf(refute_0_405,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(c3,b3)),
inference(subst,[],[refute_0_360:[bind(Y,$fot(b3)),bind(X_54,$fot(c3)),bind(X_55,$fot(a3))]]) ).
cnf(refute_0_406,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(c3,b3))
| multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(a3,b3),c3))),bind(Y0,$fot(multiply(a3,multiply(c3,b3)))),bind(Z0,$fot(multiply(a3,multiply(b3,c3))))]]) ).
cnf(refute_0_407,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(c3,b3))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_404,refute_0_407]) ).
cnf(refute_0_409,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_410,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4)
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_410,refute_0_370]) ).
cnf(refute_0_412,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_413,plain,
( multiply(a4,b4) != multiply(a4,b4)
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_412,refute_0_411]) ).
cnf(refute_0_414,plain,
multiply(a4,b4) = multiply(a4,b4),
introduced(tautology,[refl,[$fot(multiply(a4,b4))]]) ).
cnf(refute_0_415,plain,
( a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(a4,b4)) )],[refute_0_414,refute_0_413]) ).
cnf(refute_0_416,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_417,plain,
identity != identity,
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_416,refute_0_415]) ).
cnf(refute_0_418,plain,
identity = identity,
introduced(tautology,[refl,[$fot(identity)]]) ).
cnf(refute_0_419,plain,
$false,
inference(resolve,[$cnf( $equal(identity,identity) )],[refute_0_418,refute_0_417]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP092-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.10/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n023.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 05:59:21 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.56
% 0.20/0.56 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.44/0.61
%------------------------------------------------------------------------------