TSTP Solution File: GRP535-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP535-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:42:11 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 83
% Number of leaves : 130
% Syntax : Number of clauses : 506 ( 266 unt; 0 nHn; 240 RR)
% Number of literals : 852 ( 851 equ; 349 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 1056 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(A,divide(divide(A,B),C)),B) = C ).
cnf(multiply,axiom,
multiply(A,B) = divide(A,divide(divide(C,C),B)) ).
cnf(inverse,axiom,
inverse(A) = divide(divide(B,B),A) ).
cnf(identity,axiom,
identity = divide(A,A) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
cnf(refute_0_0,plain,
divide(divide(A,divide(divide(A,divide(divide(A,C),X_4)),C)),divide(divide(A,C),X_4)) = C,
inference(subst,[],[single_axiom:[bind(B,$fot(divide(divide(A,C),X_4)))]]) ).
cnf(refute_0_1,plain,
divide(divide(A,divide(divide(A,C),X_4)),C) = X_4,
inference(subst,[],[single_axiom:[bind(B,$fot(C)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_2,plain,
( divide(divide(A,divide(divide(A,C),X_4)),C) != X_4
| divide(divide(A,divide(divide(A,divide(divide(A,C),X_4)),C)),divide(divide(A,C),X_4)) != C
| divide(divide(A,X_4),divide(divide(A,C),X_4)) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,divide(divide(A,divide(divide(A,C),X_4)),C)),divide(divide(A,C),X_4)),C) ),[0,0,1],$fot(X_4)]]) ).
cnf(refute_0_3,plain,
( divide(divide(A,divide(divide(A,divide(divide(A,C),X_4)),C)),divide(divide(A,C),X_4)) != C
| divide(divide(A,X_4),divide(divide(A,C),X_4)) = C ),
inference(resolve,[$cnf( $equal(divide(divide(A,divide(divide(A,C),X_4)),C),X_4) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
divide(divide(A,X_4),divide(divide(A,C),X_4)) = C,
inference(resolve,[$cnf( $equal(divide(divide(A,divide(divide(A,divide(divide(A,C),X_4)),C)),divide(divide(A,C),X_4)),C) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
divide(divide(X_31,X_32),divide(divide(X_31,X_31),X_32)) = X_31,
inference(subst,[],[refute_0_4:[bind(A,$fot(X_31)),bind(C,$fot(X_31)),bind(X_4,$fot(X_32))]]) ).
cnf(refute_0_6,plain,
identity = divide(X_31,X_31),
inference(subst,[],[identity:[bind(A,$fot(X_31))]]) ).
cnf(refute_0_7,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_8,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_9,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( identity != divide(X_31,X_31)
| divide(X_31,X_31) = identity ),
inference(subst,[],[refute_0_9:[bind(X,$fot(identity)),bind(Y,$fot(divide(X_31,X_31)))]]) ).
cnf(refute_0_11,plain,
divide(X_31,X_31) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_31,X_31)) )],[refute_0_6,refute_0_10]) ).
cnf(refute_0_12,plain,
( divide(X_31,X_31) != identity
| divide(divide(X_31,X_32),divide(divide(X_31,X_31),X_32)) != X_31
| divide(divide(X_31,X_32),divide(identity,X_32)) = X_31 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_31,X_32),divide(divide(X_31,X_31),X_32)),X_31) ),[0,1,0],$fot(identity)]]) ).
cnf(refute_0_13,plain,
( divide(divide(X_31,X_32),divide(divide(X_31,X_31),X_32)) != X_31
| divide(divide(X_31,X_32),divide(identity,X_32)) = X_31 ),
inference(resolve,[$cnf( $equal(divide(X_31,X_31),identity) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
divide(divide(X_31,X_32),divide(identity,X_32)) = X_31,
inference(resolve,[$cnf( $equal(divide(divide(X_31,X_32),divide(divide(X_31,X_31),X_32)),X_31) )],[refute_0_5,refute_0_13]) ).
cnf(refute_0_15,plain,
( inverse(A) != divide(divide(B,B),A)
| divide(divide(B,B),A) = inverse(A) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(inverse(A))),bind(Y,$fot(divide(divide(B,B),A)))]]) ).
cnf(refute_0_16,plain,
divide(divide(B,B),A) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(B,B),A)) )],[inverse,refute_0_15]) ).
cnf(refute_0_17,plain,
divide(divide(C,C),B) = inverse(B),
inference(subst,[],[refute_0_16:[bind(A,$fot(B)),bind(B,$fot(C))]]) ).
cnf(refute_0_18,plain,
divide(A,divide(divide(C,C),B)) = divide(A,divide(divide(C,C),B)),
introduced(tautology,[refl,[$fot(divide(A,divide(divide(C,C),B)))]]) ).
cnf(refute_0_19,plain,
( divide(A,divide(divide(C,C),B)) != divide(A,divide(divide(C,C),B))
| divide(divide(C,C),B) != inverse(B)
| divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,divide(divide(C,C),B))) ),[1,1],$fot(inverse(B))]]) ).
cnf(refute_0_20,plain,
( divide(divide(C,C),B) != inverse(B)
| divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,divide(divide(C,C),B))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(divide(divide(C,C),B),inverse(B)) )],[refute_0_17,refute_0_20]) ).
cnf(refute_0_22,plain,
( multiply(A,B) != divide(A,divide(divide(C,C),B))
| divide(A,divide(divide(C,C),B)) != divide(A,inverse(B))
| multiply(A,B) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),divide(A,inverse(B))) ),[0],$fot(divide(A,divide(divide(C,C),B)))]]) ).
cnf(refute_0_23,plain,
( multiply(A,B) != divide(A,divide(divide(C,C),B))
| multiply(A,B) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,inverse(B))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
multiply(A,B) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,divide(divide(C,C),B))) )],[multiply,refute_0_23]) ).
cnf(refute_0_25,plain,
( multiply(A,B) != divide(A,inverse(B))
| divide(A,inverse(B)) = multiply(A,B) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(divide(A,inverse(B))))]]) ).
cnf(refute_0_26,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,inverse(B))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
divide(divide(X_31,X_32),inverse(X_32)) = multiply(divide(X_31,X_32),X_32),
inference(subst,[],[refute_0_26:[bind(A,$fot(divide(X_31,X_32))),bind(B,$fot(X_32))]]) ).
cnf(refute_0_28,plain,
( identity != divide(A,A)
| divide(A,A) = identity ),
inference(subst,[],[refute_0_9:[bind(X,$fot(identity)),bind(Y,$fot(divide(A,A)))]]) ).
cnf(refute_0_29,plain,
divide(A,A) = identity,
inference(resolve,[$cnf( $equal(identity,divide(A,A)) )],[identity,refute_0_28]) ).
cnf(refute_0_30,plain,
divide(B,B) = identity,
inference(subst,[],[refute_0_29:[bind(A,$fot(B))]]) ).
cnf(refute_0_31,plain,
divide(divide(B,B),A) = divide(divide(B,B),A),
introduced(tautology,[refl,[$fot(divide(divide(B,B),A))]]) ).
cnf(refute_0_32,plain,
( divide(B,B) != identity
| divide(divide(B,B),A) != divide(divide(B,B),A)
| divide(divide(B,B),A) = divide(identity,A) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(B,B),A),divide(divide(B,B),A)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_33,plain,
( divide(B,B) != identity
| divide(divide(B,B),A) = divide(identity,A) ),
inference(resolve,[$cnf( $equal(divide(divide(B,B),A),divide(divide(B,B),A)) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
divide(divide(B,B),A) = divide(identity,A),
inference(resolve,[$cnf( $equal(divide(B,B),identity) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
( divide(divide(B,B),A) != divide(identity,A)
| inverse(A) != divide(divide(B,B),A)
| inverse(A) = divide(identity,A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(divide(B,B),A)) ),[1],$fot(divide(identity,A))]]) ).
cnf(refute_0_36,plain,
( inverse(A) != divide(divide(B,B),A)
| inverse(A) = divide(identity,A) ),
inference(resolve,[$cnf( $equal(divide(divide(B,B),A),divide(identity,A)) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
inverse(A) = divide(identity,A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(B,B),A)) )],[inverse,refute_0_36]) ).
cnf(refute_0_38,plain,
( inverse(A) != divide(identity,A)
| divide(identity,A) = inverse(A) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(inverse(A))),bind(Y,$fot(divide(identity,A)))]]) ).
cnf(refute_0_39,plain,
divide(identity,A) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),divide(identity,A)) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
divide(identity,X_32) = inverse(X_32),
inference(subst,[],[refute_0_39:[bind(A,$fot(X_32))]]) ).
cnf(refute_0_41,plain,
divide(divide(X_31,X_32),divide(identity,X_32)) = divide(divide(X_31,X_32),divide(identity,X_32)),
introduced(tautology,[refl,[$fot(divide(divide(X_31,X_32),divide(identity,X_32)))]]) ).
cnf(refute_0_42,plain,
( divide(divide(X_31,X_32),divide(identity,X_32)) != divide(divide(X_31,X_32),divide(identity,X_32))
| divide(identity,X_32) != inverse(X_32)
| divide(divide(X_31,X_32),divide(identity,X_32)) = divide(divide(X_31,X_32),inverse(X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_31,X_32),divide(identity,X_32)),divide(divide(X_31,X_32),divide(identity,X_32))) ),[1,1],$fot(inverse(X_32))]]) ).
cnf(refute_0_43,plain,
( divide(identity,X_32) != inverse(X_32)
| divide(divide(X_31,X_32),divide(identity,X_32)) = divide(divide(X_31,X_32),inverse(X_32)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_31,X_32),divide(identity,X_32)),divide(divide(X_31,X_32),divide(identity,X_32))) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
divide(divide(X_31,X_32),divide(identity,X_32)) = divide(divide(X_31,X_32),inverse(X_32)),
inference(resolve,[$cnf( $equal(divide(identity,X_32),inverse(X_32)) )],[refute_0_40,refute_0_43]) ).
cnf(refute_0_45,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_46,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_9,refute_0_45]) ).
cnf(refute_0_47,plain,
( divide(divide(X_31,X_32),divide(identity,X_32)) != divide(divide(X_31,X_32),inverse(X_32))
| divide(divide(X_31,X_32),inverse(X_32)) != multiply(divide(X_31,X_32),X_32)
| divide(divide(X_31,X_32),divide(identity,X_32)) = multiply(divide(X_31,X_32),X_32) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(divide(divide(X_31,X_32),divide(identity,X_32)))),bind(Y,$fot(divide(divide(X_31,X_32),inverse(X_32)))),bind(Z,$fot(multiply(divide(X_31,X_32),X_32)))]]) ).
cnf(refute_0_48,plain,
( divide(divide(X_31,X_32),inverse(X_32)) != multiply(divide(X_31,X_32),X_32)
| divide(divide(X_31,X_32),divide(identity,X_32)) = multiply(divide(X_31,X_32),X_32) ),
inference(resolve,[$cnf( $equal(divide(divide(X_31,X_32),divide(identity,X_32)),divide(divide(X_31,X_32),inverse(X_32))) )],[refute_0_44,refute_0_47]) ).
cnf(refute_0_49,plain,
divide(divide(X_31,X_32),divide(identity,X_32)) = multiply(divide(X_31,X_32),X_32),
inference(resolve,[$cnf( $equal(divide(divide(X_31,X_32),inverse(X_32)),multiply(divide(X_31,X_32),X_32)) )],[refute_0_27,refute_0_48]) ).
cnf(refute_0_50,plain,
( divide(divide(X_31,X_32),divide(identity,X_32)) != X_31
| divide(divide(X_31,X_32),divide(identity,X_32)) != multiply(divide(X_31,X_32),X_32)
| multiply(divide(X_31,X_32),X_32) = X_31 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_31,X_32),divide(identity,X_32)),X_31) ),[0],$fot(multiply(divide(X_31,X_32),X_32))]]) ).
cnf(refute_0_51,plain,
( divide(divide(X_31,X_32),divide(identity,X_32)) != X_31
| multiply(divide(X_31,X_32),X_32) = X_31 ),
inference(resolve,[$cnf( $equal(divide(divide(X_31,X_32),divide(identity,X_32)),multiply(divide(X_31,X_32),X_32)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
multiply(divide(X_31,X_32),X_32) = X_31,
inference(resolve,[$cnf( $equal(divide(divide(X_31,X_32),divide(identity,X_32)),X_31) )],[refute_0_14,refute_0_51]) ).
cnf(refute_0_53,plain,
multiply(divide(multiply(X_39,X_4),X_39),X_39) = multiply(X_39,X_4),
inference(subst,[],[refute_0_52:[bind(X_31,$fot(multiply(X_39,X_4))),bind(X_32,$fot(X_39))]]) ).
cnf(refute_0_54,plain,
divide(divide(X_3,divide(divide(X_3,X_3),X_4)),X_3) = X_4,
inference(subst,[],[single_axiom:[bind(A,$fot(X_3)),bind(B,$fot(X_3)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_55,plain,
identity = divide(X_3,X_3),
inference(subst,[],[identity:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_56,plain,
( identity != divide(X_3,X_3)
| divide(X_3,X_3) = identity ),
inference(subst,[],[refute_0_9:[bind(X,$fot(identity)),bind(Y,$fot(divide(X_3,X_3)))]]) ).
cnf(refute_0_57,plain,
divide(X_3,X_3) = identity,
inference(resolve,[$cnf( $equal(identity,divide(X_3,X_3)) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
( divide(X_3,X_3) != identity
| divide(divide(X_3,divide(divide(X_3,X_3),X_4)),X_3) != X_4
| divide(divide(X_3,divide(identity,X_4)),X_3) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_3,divide(divide(X_3,X_3),X_4)),X_3),X_4) ),[0,0,1,0],$fot(identity)]]) ).
cnf(refute_0_59,plain,
( divide(divide(X_3,divide(divide(X_3,X_3),X_4)),X_3) != X_4
| divide(divide(X_3,divide(identity,X_4)),X_3) = X_4 ),
inference(resolve,[$cnf( $equal(divide(X_3,X_3),identity) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
divide(divide(X_3,divide(identity,X_4)),X_3) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(X_3,divide(divide(X_3,X_3),X_4)),X_3),X_4) )],[refute_0_54,refute_0_59]) ).
cnf(refute_0_61,plain,
divide(X_3,inverse(X_4)) = multiply(X_3,X_4),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_3)),bind(B,$fot(X_4))]]) ).
cnf(refute_0_62,plain,
divide(identity,X_4) = inverse(X_4),
inference(subst,[],[refute_0_39:[bind(A,$fot(X_4))]]) ).
cnf(refute_0_63,plain,
divide(X_3,divide(identity,X_4)) = divide(X_3,divide(identity,X_4)),
introduced(tautology,[refl,[$fot(divide(X_3,divide(identity,X_4)))]]) ).
cnf(refute_0_64,plain,
( divide(X_3,divide(identity,X_4)) != divide(X_3,divide(identity,X_4))
| divide(identity,X_4) != inverse(X_4)
| divide(X_3,divide(identity,X_4)) = divide(X_3,inverse(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_3,divide(identity,X_4)),divide(X_3,divide(identity,X_4))) ),[1,1],$fot(inverse(X_4))]]) ).
cnf(refute_0_65,plain,
( divide(identity,X_4) != inverse(X_4)
| divide(X_3,divide(identity,X_4)) = divide(X_3,inverse(X_4)) ),
inference(resolve,[$cnf( $equal(divide(X_3,divide(identity,X_4)),divide(X_3,divide(identity,X_4))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
divide(X_3,divide(identity,X_4)) = divide(X_3,inverse(X_4)),
inference(resolve,[$cnf( $equal(divide(identity,X_4),inverse(X_4)) )],[refute_0_62,refute_0_65]) ).
cnf(refute_0_67,plain,
( divide(X_3,divide(identity,X_4)) != divide(X_3,inverse(X_4))
| divide(X_3,inverse(X_4)) != multiply(X_3,X_4)
| divide(X_3,divide(identity,X_4)) = multiply(X_3,X_4) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(divide(X_3,divide(identity,X_4)))),bind(Y,$fot(divide(X_3,inverse(X_4)))),bind(Z,$fot(multiply(X_3,X_4)))]]) ).
cnf(refute_0_68,plain,
( divide(X_3,inverse(X_4)) != multiply(X_3,X_4)
| divide(X_3,divide(identity,X_4)) = multiply(X_3,X_4) ),
inference(resolve,[$cnf( $equal(divide(X_3,divide(identity,X_4)),divide(X_3,inverse(X_4))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
divide(X_3,divide(identity,X_4)) = multiply(X_3,X_4),
inference(resolve,[$cnf( $equal(divide(X_3,inverse(X_4)),multiply(X_3,X_4)) )],[refute_0_61,refute_0_68]) ).
cnf(refute_0_70,plain,
divide(divide(X_3,divide(identity,X_4)),X_3) = divide(divide(X_3,divide(identity,X_4)),X_3),
introduced(tautology,[refl,[$fot(divide(divide(X_3,divide(identity,X_4)),X_3))]]) ).
cnf(refute_0_71,plain,
( divide(X_3,divide(identity,X_4)) != multiply(X_3,X_4)
| divide(divide(X_3,divide(identity,X_4)),X_3) != divide(divide(X_3,divide(identity,X_4)),X_3)
| divide(divide(X_3,divide(identity,X_4)),X_3) = divide(multiply(X_3,X_4),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_3,divide(identity,X_4)),X_3),divide(divide(X_3,divide(identity,X_4)),X_3)) ),[1,0],$fot(multiply(X_3,X_4))]]) ).
cnf(refute_0_72,plain,
( divide(X_3,divide(identity,X_4)) != multiply(X_3,X_4)
| divide(divide(X_3,divide(identity,X_4)),X_3) = divide(multiply(X_3,X_4),X_3) ),
inference(resolve,[$cnf( $equal(divide(divide(X_3,divide(identity,X_4)),X_3),divide(divide(X_3,divide(identity,X_4)),X_3)) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
divide(divide(X_3,divide(identity,X_4)),X_3) = divide(multiply(X_3,X_4),X_3),
inference(resolve,[$cnf( $equal(divide(X_3,divide(identity,X_4)),multiply(X_3,X_4)) )],[refute_0_69,refute_0_72]) ).
cnf(refute_0_74,plain,
( divide(divide(X_3,divide(identity,X_4)),X_3) != X_4
| divide(divide(X_3,divide(identity,X_4)),X_3) != divide(multiply(X_3,X_4),X_3)
| divide(multiply(X_3,X_4),X_3) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_3,divide(identity,X_4)),X_3),X_4) ),[0],$fot(divide(multiply(X_3,X_4),X_3))]]) ).
cnf(refute_0_75,plain,
( divide(divide(X_3,divide(identity,X_4)),X_3) != X_4
| divide(multiply(X_3,X_4),X_3) = X_4 ),
inference(resolve,[$cnf( $equal(divide(divide(X_3,divide(identity,X_4)),X_3),divide(multiply(X_3,X_4),X_3)) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
divide(multiply(X_3,X_4),X_3) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(X_3,divide(identity,X_4)),X_3),X_4) )],[refute_0_60,refute_0_75]) ).
cnf(refute_0_77,plain,
divide(multiply(X_39,X_4),X_39) = X_4,
inference(subst,[],[refute_0_76:[bind(X_3,$fot(X_39))]]) ).
cnf(refute_0_78,plain,
( multiply(divide(multiply(X_39,X_4),X_39),X_39) != multiply(X_39,X_4)
| divide(multiply(X_39,X_4),X_39) != X_4
| multiply(X_4,X_39) = multiply(X_39,X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(multiply(X_39,X_4),X_39),X_39),multiply(X_39,X_4)) ),[0,0],$fot(X_4)]]) ).
cnf(refute_0_79,plain,
( multiply(divide(multiply(X_39,X_4),X_39),X_39) != multiply(X_39,X_4)
| multiply(X_4,X_39) = multiply(X_39,X_4) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_39,X_4),X_39),X_4) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
multiply(X_4,X_39) = multiply(X_39,X_4),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(X_39,X_4),X_39),X_39),multiply(X_39,X_4)) )],[refute_0_53,refute_0_79]) ).
cnf(refute_0_81,plain,
( multiply(X_4,X_39) != multiply(X_39,X_4)
| multiply(X_39,X_4) = multiply(X_4,X_39) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(multiply(X_4,X_39))),bind(Y,$fot(multiply(X_39,X_4)))]]) ).
cnf(refute_0_82,plain,
multiply(X_39,X_4) = multiply(X_4,X_39),
inference(resolve,[$cnf( $equal(multiply(X_4,X_39),multiply(X_39,X_4)) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_82:[bind(X_39,$fot(multiply(a3,b3))),bind(X_4,$fot(c3))]]) ).
cnf(refute_0_84,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).
cnf(refute_0_85,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_85,prove_these_axioms_3]) ).
cnf(refute_0_87,plain,
divide(divide(A,divide(divide(A,inverse(X_16)),C)),inverse(X_16)) = C,
inference(subst,[],[single_axiom:[bind(B,$fot(inverse(X_16)))]]) ).
cnf(refute_0_88,plain,
multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16) = divide(divide(A,divide(divide(A,inverse(X_16)),C)),inverse(X_16)),
inference(subst,[],[refute_0_24:[bind(A,$fot(divide(A,divide(divide(A,inverse(X_16)),C)))),bind(B,$fot(X_16))]]) ).
cnf(refute_0_89,plain,
( multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16) != divide(divide(A,divide(divide(A,inverse(X_16)),C)),inverse(X_16))
| divide(divide(A,divide(divide(A,inverse(X_16)),C)),inverse(X_16)) = multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16))),bind(Y,$fot(divide(divide(A,divide(divide(A,inverse(X_16)),C)),inverse(X_16))))]]) ).
cnf(refute_0_90,plain,
divide(divide(A,divide(divide(A,inverse(X_16)),C)),inverse(X_16)) = multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16),
inference(resolve,[$cnf( $equal(multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16),divide(divide(A,divide(divide(A,inverse(X_16)),C)),inverse(X_16))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
( divide(divide(A,divide(divide(A,inverse(X_16)),C)),inverse(X_16)) != C
| divide(divide(A,divide(divide(A,inverse(X_16)),C)),inverse(X_16)) != multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16)
| multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,divide(divide(A,inverse(X_16)),C)),inverse(X_16)),C) ),[0],$fot(multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16))]]) ).
cnf(refute_0_92,plain,
( divide(divide(A,divide(divide(A,inverse(X_16)),C)),inverse(X_16)) != C
| multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16) = C ),
inference(resolve,[$cnf( $equal(divide(divide(A,divide(divide(A,inverse(X_16)),C)),inverse(X_16)),multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16)) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16) = C,
inference(resolve,[$cnf( $equal(divide(divide(A,divide(divide(A,inverse(X_16)),C)),inverse(X_16)),C) )],[refute_0_87,refute_0_92]) ).
cnf(refute_0_94,plain,
divide(A,inverse(X_16)) = multiply(A,X_16),
inference(subst,[],[refute_0_26:[bind(B,$fot(X_16))]]) ).
cnf(refute_0_95,plain,
divide(divide(A,inverse(X_16)),C) = divide(divide(A,inverse(X_16)),C),
introduced(tautology,[refl,[$fot(divide(divide(A,inverse(X_16)),C))]]) ).
cnf(refute_0_96,plain,
( divide(A,inverse(X_16)) != multiply(A,X_16)
| divide(divide(A,inverse(X_16)),C) != divide(divide(A,inverse(X_16)),C)
| divide(divide(A,inverse(X_16)),C) = divide(multiply(A,X_16),C) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,inverse(X_16)),C),divide(divide(A,inverse(X_16)),C)) ),[1,0],$fot(multiply(A,X_16))]]) ).
cnf(refute_0_97,plain,
( divide(A,inverse(X_16)) != multiply(A,X_16)
| divide(divide(A,inverse(X_16)),C) = divide(multiply(A,X_16),C) ),
inference(resolve,[$cnf( $equal(divide(divide(A,inverse(X_16)),C),divide(divide(A,inverse(X_16)),C)) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
divide(divide(A,inverse(X_16)),C) = divide(multiply(A,X_16),C),
inference(resolve,[$cnf( $equal(divide(A,inverse(X_16)),multiply(A,X_16)) )],[refute_0_94,refute_0_97]) ).
cnf(refute_0_99,plain,
divide(A,divide(divide(A,inverse(X_16)),C)) = divide(A,divide(divide(A,inverse(X_16)),C)),
introduced(tautology,[refl,[$fot(divide(A,divide(divide(A,inverse(X_16)),C)))]]) ).
cnf(refute_0_100,plain,
( divide(A,divide(divide(A,inverse(X_16)),C)) != divide(A,divide(divide(A,inverse(X_16)),C))
| divide(divide(A,inverse(X_16)),C) != divide(multiply(A,X_16),C)
| divide(A,divide(divide(A,inverse(X_16)),C)) = divide(A,divide(multiply(A,X_16),C)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(A,inverse(X_16)),C)),divide(A,divide(divide(A,inverse(X_16)),C))) ),[1,1],$fot(divide(multiply(A,X_16),C))]]) ).
cnf(refute_0_101,plain,
( divide(divide(A,inverse(X_16)),C) != divide(multiply(A,X_16),C)
| divide(A,divide(divide(A,inverse(X_16)),C)) = divide(A,divide(multiply(A,X_16),C)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(A,inverse(X_16)),C)),divide(A,divide(divide(A,inverse(X_16)),C))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
divide(A,divide(divide(A,inverse(X_16)),C)) = divide(A,divide(multiply(A,X_16),C)),
inference(resolve,[$cnf( $equal(divide(divide(A,inverse(X_16)),C),divide(multiply(A,X_16),C)) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16) = multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16),
introduced(tautology,[refl,[$fot(multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16))]]) ).
cnf(refute_0_104,plain,
( multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16) != multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16)
| divide(A,divide(divide(A,inverse(X_16)),C)) != divide(A,divide(multiply(A,X_16),C))
| multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16) = multiply(divide(A,divide(multiply(A,X_16),C)),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16),multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16)) ),[1,0],$fot(divide(A,divide(multiply(A,X_16),C)))]]) ).
cnf(refute_0_105,plain,
( divide(A,divide(divide(A,inverse(X_16)),C)) != divide(A,divide(multiply(A,X_16),C))
| multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16) = multiply(divide(A,divide(multiply(A,X_16),C)),X_16) ),
inference(resolve,[$cnf( $equal(multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16),multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16)) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16) = multiply(divide(A,divide(multiply(A,X_16),C)),X_16),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(A,inverse(X_16)),C)),divide(A,divide(multiply(A,X_16),C))) )],[refute_0_102,refute_0_105]) ).
cnf(refute_0_107,plain,
( multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16) != C
| multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16) != multiply(divide(A,divide(multiply(A,X_16),C)),X_16)
| multiply(divide(A,divide(multiply(A,X_16),C)),X_16) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16),C) ),[0],$fot(multiply(divide(A,divide(multiply(A,X_16),C)),X_16))]]) ).
cnf(refute_0_108,plain,
( multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16) != C
| multiply(divide(A,divide(multiply(A,X_16),C)),X_16) = C ),
inference(resolve,[$cnf( $equal(multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16),multiply(divide(A,divide(multiply(A,X_16),C)),X_16)) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
multiply(divide(A,divide(multiply(A,X_16),C)),X_16) = C,
inference(resolve,[$cnf( $equal(multiply(divide(A,divide(divide(A,inverse(X_16)),C)),X_16),C) )],[refute_0_93,refute_0_108]) ).
cnf(refute_0_110,plain,
multiply(divide(A,divide(multiply(A,X_16),C)),X_16) = multiply(X_16,divide(A,divide(multiply(A,X_16),C))),
inference(subst,[],[refute_0_82:[bind(X_39,$fot(divide(A,divide(multiply(A,X_16),C)))),bind(X_4,$fot(X_16))]]) ).
cnf(refute_0_111,plain,
( multiply(divide(A,divide(multiply(A,X_16),C)),X_16) != C
| multiply(divide(A,divide(multiply(A,X_16),C)),X_16) != multiply(X_16,divide(A,divide(multiply(A,X_16),C)))
| multiply(X_16,divide(A,divide(multiply(A,X_16),C))) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(A,divide(multiply(A,X_16),C)),X_16),C) ),[0],$fot(multiply(X_16,divide(A,divide(multiply(A,X_16),C))))]]) ).
cnf(refute_0_112,plain,
( multiply(divide(A,divide(multiply(A,X_16),C)),X_16) != C
| multiply(X_16,divide(A,divide(multiply(A,X_16),C))) = C ),
inference(resolve,[$cnf( $equal(multiply(divide(A,divide(multiply(A,X_16),C)),X_16),multiply(X_16,divide(A,divide(multiply(A,X_16),C)))) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
multiply(X_16,divide(A,divide(multiply(A,X_16),C))) = C,
inference(resolve,[$cnf( $equal(multiply(divide(A,divide(multiply(A,X_16),C)),X_16),C) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
divide(divide(A,divide(divide(A,B),inverse(X_16))),B) = inverse(X_16),
inference(subst,[],[single_axiom:[bind(C,$fot(inverse(X_16)))]]) ).
cnf(refute_0_115,plain,
multiply(divide(A,B),X_16) = divide(divide(A,B),inverse(X_16)),
inference(subst,[],[refute_0_24:[bind(A,$fot(divide(A,B))),bind(B,$fot(X_16))]]) ).
cnf(refute_0_116,plain,
( multiply(divide(A,B),X_16) != divide(divide(A,B),inverse(X_16))
| divide(divide(A,B),inverse(X_16)) = multiply(divide(A,B),X_16) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(multiply(divide(A,B),X_16))),bind(Y,$fot(divide(divide(A,B),inverse(X_16))))]]) ).
cnf(refute_0_117,plain,
divide(divide(A,B),inverse(X_16)) = multiply(divide(A,B),X_16),
inference(resolve,[$cnf( $equal(multiply(divide(A,B),X_16),divide(divide(A,B),inverse(X_16))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
( divide(divide(A,B),inverse(X_16)) != multiply(divide(A,B),X_16)
| divide(divide(A,divide(divide(A,B),inverse(X_16))),B) != inverse(X_16)
| divide(divide(A,multiply(divide(A,B),X_16)),B) = inverse(X_16) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,divide(divide(A,B),inverse(X_16))),B),inverse(X_16)) ),[0,0,1],$fot(multiply(divide(A,B),X_16))]]) ).
cnf(refute_0_119,plain,
( divide(divide(A,divide(divide(A,B),inverse(X_16))),B) != inverse(X_16)
| divide(divide(A,multiply(divide(A,B),X_16)),B) = inverse(X_16) ),
inference(resolve,[$cnf( $equal(divide(divide(A,B),inverse(X_16)),multiply(divide(A,B),X_16)) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
divide(divide(A,multiply(divide(A,B),X_16)),B) = inverse(X_16),
inference(resolve,[$cnf( $equal(divide(divide(A,divide(divide(A,B),inverse(X_16))),B),inverse(X_16)) )],[refute_0_114,refute_0_119]) ).
cnf(refute_0_121,plain,
divide(divide(A,multiply(divide(A,B),divide(inverse(divide(A,B)),X_46))),B) = inverse(divide(inverse(divide(A,B)),X_46)),
inference(subst,[],[refute_0_120:[bind(X_16,$fot(divide(inverse(divide(A,B)),X_46)))]]) ).
cnf(refute_0_122,plain,
divide(multiply(inverse(X_16),X_4),inverse(X_16)) = X_4,
inference(subst,[],[refute_0_76:[bind(X_3,$fot(inverse(X_16)))]]) ).
cnf(refute_0_123,plain,
multiply(multiply(inverse(X_16),X_4),X_16) = divide(multiply(inverse(X_16),X_4),inverse(X_16)),
inference(subst,[],[refute_0_24:[bind(A,$fot(multiply(inverse(X_16),X_4))),bind(B,$fot(X_16))]]) ).
cnf(refute_0_124,plain,
( multiply(multiply(inverse(X_16),X_4),X_16) != divide(multiply(inverse(X_16),X_4),inverse(X_16))
| divide(multiply(inverse(X_16),X_4),inverse(X_16)) = multiply(multiply(inverse(X_16),X_4),X_16) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(multiply(multiply(inverse(X_16),X_4),X_16))),bind(Y,$fot(divide(multiply(inverse(X_16),X_4),inverse(X_16))))]]) ).
cnf(refute_0_125,plain,
divide(multiply(inverse(X_16),X_4),inverse(X_16)) = multiply(multiply(inverse(X_16),X_4),X_16),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_16),X_4),X_16),divide(multiply(inverse(X_16),X_4),inverse(X_16))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
( divide(multiply(inverse(X_16),X_4),inverse(X_16)) != X_4
| divide(multiply(inverse(X_16),X_4),inverse(X_16)) != multiply(multiply(inverse(X_16),X_4),X_16)
| multiply(multiply(inverse(X_16),X_4),X_16) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(X_16),X_4),inverse(X_16)),X_4) ),[0],$fot(multiply(multiply(inverse(X_16),X_4),X_16))]]) ).
cnf(refute_0_127,plain,
( divide(multiply(inverse(X_16),X_4),inverse(X_16)) != X_4
| multiply(multiply(inverse(X_16),X_4),X_16) = X_4 ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_16),X_4),inverse(X_16)),multiply(multiply(inverse(X_16),X_4),X_16)) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
multiply(multiply(inverse(X_16),X_4),X_16) = X_4,
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_16),X_4),inverse(X_16)),X_4) )],[refute_0_122,refute_0_127]) ).
cnf(refute_0_129,plain,
multiply(multiply(inverse(X_16),inverse(X_26)),X_16) = inverse(X_26),
inference(subst,[],[refute_0_128:[bind(X_4,$fot(inverse(X_26)))]]) ).
cnf(refute_0_130,plain,
multiply(X_15,inverse(divide(X_10,identity))) = divide(X_15,inverse(inverse(divide(X_10,identity)))),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_15)),bind(B,$fot(inverse(divide(X_10,identity))))]]) ).
cnf(refute_0_131,plain,
divide(divide(identity,divide(divide(identity,X_3),X_4)),X_3) = X_4,
inference(subst,[],[single_axiom:[bind(A,$fot(identity)),bind(B,$fot(X_3)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_132,plain,
inverse(X_3) = divide(identity,X_3),
inference(subst,[],[refute_0_37:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_133,plain,
( inverse(X_3) != divide(identity,X_3)
| divide(identity,X_3) = inverse(X_3) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(inverse(X_3))),bind(Y,$fot(divide(identity,X_3)))]]) ).
cnf(refute_0_134,plain,
divide(identity,X_3) = inverse(X_3),
inference(resolve,[$cnf( $equal(inverse(X_3),divide(identity,X_3)) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
( divide(divide(identity,divide(divide(identity,X_3),X_4)),X_3) != X_4
| divide(identity,X_3) != inverse(X_3)
| divide(divide(identity,divide(inverse(X_3),X_4)),X_3) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(divide(identity,X_3),X_4)),X_3),X_4) ),[0,0,1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_136,plain,
( divide(divide(identity,divide(divide(identity,X_3),X_4)),X_3) != X_4
| divide(divide(identity,divide(inverse(X_3),X_4)),X_3) = X_4 ),
inference(resolve,[$cnf( $equal(divide(identity,X_3),inverse(X_3)) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
divide(divide(identity,divide(inverse(X_3),X_4)),X_3) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(divide(identity,X_3),X_4)),X_3),X_4) )],[refute_0_131,refute_0_136]) ).
cnf(refute_0_138,plain,
divide(identity,divide(inverse(X_3),X_4)) = inverse(divide(inverse(X_3),X_4)),
inference(subst,[],[refute_0_39:[bind(A,$fot(divide(inverse(X_3),X_4)))]]) ).
cnf(refute_0_139,plain,
divide(divide(identity,divide(inverse(X_3),X_4)),X_3) = divide(divide(identity,divide(inverse(X_3),X_4)),X_3),
introduced(tautology,[refl,[$fot(divide(divide(identity,divide(inverse(X_3),X_4)),X_3))]]) ).
cnf(refute_0_140,plain,
( divide(divide(identity,divide(inverse(X_3),X_4)),X_3) != divide(divide(identity,divide(inverse(X_3),X_4)),X_3)
| divide(identity,divide(inverse(X_3),X_4)) != inverse(divide(inverse(X_3),X_4))
| divide(divide(identity,divide(inverse(X_3),X_4)),X_3) = divide(inverse(divide(inverse(X_3),X_4)),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(inverse(X_3),X_4)),X_3),divide(divide(identity,divide(inverse(X_3),X_4)),X_3)) ),[1,0],$fot(inverse(divide(inverse(X_3),X_4)))]]) ).
cnf(refute_0_141,plain,
( divide(identity,divide(inverse(X_3),X_4)) != inverse(divide(inverse(X_3),X_4))
| divide(divide(identity,divide(inverse(X_3),X_4)),X_3) = divide(inverse(divide(inverse(X_3),X_4)),X_3) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(inverse(X_3),X_4)),X_3),divide(divide(identity,divide(inverse(X_3),X_4)),X_3)) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
divide(divide(identity,divide(inverse(X_3),X_4)),X_3) = divide(inverse(divide(inverse(X_3),X_4)),X_3),
inference(resolve,[$cnf( $equal(divide(identity,divide(inverse(X_3),X_4)),inverse(divide(inverse(X_3),X_4))) )],[refute_0_138,refute_0_141]) ).
cnf(refute_0_143,plain,
( divide(divide(identity,divide(inverse(X_3),X_4)),X_3) != X_4
| divide(divide(identity,divide(inverse(X_3),X_4)),X_3) != divide(inverse(divide(inverse(X_3),X_4)),X_3)
| divide(inverse(divide(inverse(X_3),X_4)),X_3) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,divide(inverse(X_3),X_4)),X_3),X_4) ),[0],$fot(divide(inverse(divide(inverse(X_3),X_4)),X_3))]]) ).
cnf(refute_0_144,plain,
( divide(divide(identity,divide(inverse(X_3),X_4)),X_3) != X_4
| divide(inverse(divide(inverse(X_3),X_4)),X_3) = X_4 ),
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(inverse(X_3),X_4)),X_3),divide(inverse(divide(inverse(X_3),X_4)),X_3)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
divide(inverse(divide(inverse(X_3),X_4)),X_3) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(identity,divide(inverse(X_3),X_4)),X_3),X_4) )],[refute_0_137,refute_0_144]) ).
cnf(refute_0_146,plain,
divide(inverse(divide(inverse(divide(inverse(X_4),X_6)),X_4)),divide(inverse(X_4),X_6)) = X_4,
inference(subst,[],[refute_0_145:[bind(X_3,$fot(divide(inverse(X_4),X_6)))]]) ).
cnf(refute_0_147,plain,
divide(inverse(divide(inverse(X_4),X_6)),X_4) = X_6,
inference(subst,[],[refute_0_145:[bind(X_3,$fot(X_4)),bind(X_4,$fot(X_6))]]) ).
cnf(refute_0_148,plain,
( divide(inverse(divide(inverse(X_4),X_6)),X_4) != X_6
| divide(inverse(divide(inverse(divide(inverse(X_4),X_6)),X_4)),divide(inverse(X_4),X_6)) != X_4
| divide(inverse(X_6),divide(inverse(X_4),X_6)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(divide(inverse(X_4),X_6)),X_4)),divide(inverse(X_4),X_6)),X_4) ),[0,0,0],$fot(X_6)]]) ).
cnf(refute_0_149,plain,
( divide(inverse(divide(inverse(divide(inverse(X_4),X_6)),X_4)),divide(inverse(X_4),X_6)) != X_4
| divide(inverse(X_6),divide(inverse(X_4),X_6)) = X_4 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(X_4),X_6)),X_4),X_6) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
divide(inverse(X_6),divide(inverse(X_4),X_6)) = X_4,
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(divide(inverse(X_4),X_6)),X_4)),divide(inverse(X_4),X_6)),X_4) )],[refute_0_146,refute_0_149]) ).
cnf(refute_0_151,plain,
divide(inverse(identity),divide(inverse(X_10),identity)) = X_10,
inference(subst,[],[refute_0_150:[bind(X_4,$fot(X_10)),bind(X_6,$fot(identity))]]) ).
cnf(refute_0_152,plain,
identity = divide(identity,identity),
inference(subst,[],[identity:[bind(A,$fot(identity))]]) ).
cnf(refute_0_153,plain,
inverse(identity) = divide(identity,identity),
inference(subst,[],[refute_0_37:[bind(A,$fot(identity))]]) ).
cnf(refute_0_154,plain,
( inverse(identity) != divide(identity,identity)
| divide(identity,identity) = inverse(identity) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(inverse(identity))),bind(Y,$fot(divide(identity,identity)))]]) ).
cnf(refute_0_155,plain,
divide(identity,identity) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),divide(identity,identity)) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
( divide(identity,identity) != inverse(identity)
| identity != divide(identity,identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(identity,divide(identity,identity)) ),[1],$fot(inverse(identity))]]) ).
cnf(refute_0_157,plain,
( identity != divide(identity,identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(divide(identity,identity),inverse(identity)) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(identity,divide(identity,identity)) )],[refute_0_152,refute_0_157]) ).
cnf(refute_0_159,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_9:[bind(X,$fot(identity)),bind(Y,$fot(inverse(identity)))]]) ).
cnf(refute_0_160,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
( divide(inverse(identity),divide(inverse(X_10),identity)) != X_10
| inverse(identity) != identity
| divide(identity,divide(inverse(X_10),identity)) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(identity),divide(inverse(X_10),identity)),X_10) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_162,plain,
( divide(inverse(identity),divide(inverse(X_10),identity)) != X_10
| divide(identity,divide(inverse(X_10),identity)) = X_10 ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
divide(identity,divide(inverse(X_10),identity)) = X_10,
inference(resolve,[$cnf( $equal(divide(inverse(identity),divide(inverse(X_10),identity)),X_10) )],[refute_0_151,refute_0_162]) ).
cnf(refute_0_164,plain,
divide(identity,divide(inverse(X_10),identity)) = inverse(divide(inverse(X_10),identity)),
inference(subst,[],[refute_0_39:[bind(A,$fot(divide(inverse(X_10),identity)))]]) ).
cnf(refute_0_165,plain,
( divide(identity,divide(inverse(X_10),identity)) != X_10
| divide(identity,divide(inverse(X_10),identity)) != inverse(divide(inverse(X_10),identity))
| inverse(divide(inverse(X_10),identity)) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(divide(identity,divide(inverse(X_10),identity)),X_10) ),[0],$fot(inverse(divide(inverse(X_10),identity)))]]) ).
cnf(refute_0_166,plain,
( divide(identity,divide(inverse(X_10),identity)) != X_10
| inverse(divide(inverse(X_10),identity)) = X_10 ),
inference(resolve,[$cnf( $equal(divide(identity,divide(inverse(X_10),identity)),inverse(divide(inverse(X_10),identity))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
inverse(divide(inverse(X_10),identity)) = X_10,
inference(resolve,[$cnf( $equal(divide(identity,divide(inverse(X_10),identity)),X_10) )],[refute_0_163,refute_0_166]) ).
cnf(refute_0_168,plain,
inverse(divide(inverse(divide(inverse(X_12),identity)),identity)) = divide(inverse(X_12),identity),
inference(subst,[],[refute_0_167:[bind(X_10,$fot(divide(inverse(X_12),identity)))]]) ).
cnf(refute_0_169,plain,
inverse(divide(inverse(X_12),identity)) = X_12,
inference(subst,[],[refute_0_167:[bind(X_10,$fot(X_12))]]) ).
cnf(refute_0_170,plain,
( inverse(divide(inverse(X_12),identity)) != X_12
| inverse(divide(inverse(divide(inverse(X_12),identity)),identity)) != divide(inverse(X_12),identity)
| inverse(divide(X_12,identity)) = divide(inverse(X_12),identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(divide(inverse(X_12),identity)),identity)),divide(inverse(X_12),identity)) ),[0,0,0],$fot(X_12)]]) ).
cnf(refute_0_171,plain,
( inverse(divide(inverse(divide(inverse(X_12),identity)),identity)) != divide(inverse(X_12),identity)
| inverse(divide(X_12,identity)) = divide(inverse(X_12),identity) ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_12),identity)),X_12) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
inverse(divide(X_12,identity)) = divide(inverse(X_12),identity),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(divide(inverse(X_12),identity)),identity)),divide(inverse(X_12),identity)) )],[refute_0_168,refute_0_171]) ).
cnf(refute_0_173,plain,
( inverse(divide(X_12,identity)) != divide(inverse(X_12),identity)
| divide(inverse(X_12),identity) = inverse(divide(X_12,identity)) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(inverse(divide(X_12,identity)))),bind(Y,$fot(divide(inverse(X_12),identity)))]]) ).
cnf(refute_0_174,plain,
divide(inverse(X_12),identity) = inverse(divide(X_12,identity)),
inference(resolve,[$cnf( $equal(inverse(divide(X_12,identity)),divide(inverse(X_12),identity)) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
divide(inverse(X_10),identity) = inverse(divide(X_10,identity)),
inference(subst,[],[refute_0_174:[bind(X_12,$fot(X_10))]]) ).
cnf(refute_0_176,plain,
inverse(divide(inverse(X_10),identity)) = inverse(divide(inverse(X_10),identity)),
introduced(tautology,[refl,[$fot(inverse(divide(inverse(X_10),identity)))]]) ).
cnf(refute_0_177,plain,
( divide(inverse(X_10),identity) != inverse(divide(X_10,identity))
| inverse(divide(inverse(X_10),identity)) != inverse(divide(inverse(X_10),identity))
| inverse(divide(inverse(X_10),identity)) = inverse(inverse(divide(X_10,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(X_10),identity)),inverse(divide(inverse(X_10),identity))) ),[1,0],$fot(inverse(divide(X_10,identity)))]]) ).
cnf(refute_0_178,plain,
( divide(inverse(X_10),identity) != inverse(divide(X_10,identity))
| inverse(divide(inverse(X_10),identity)) = inverse(inverse(divide(X_10,identity))) ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_10),identity)),inverse(divide(inverse(X_10),identity))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
inverse(divide(inverse(X_10),identity)) = inverse(inverse(divide(X_10,identity))),
inference(resolve,[$cnf( $equal(divide(inverse(X_10),identity),inverse(divide(X_10,identity))) )],[refute_0_175,refute_0_178]) ).
cnf(refute_0_180,plain,
( inverse(divide(inverse(X_10),identity)) != X_10
| inverse(divide(inverse(X_10),identity)) != inverse(inverse(divide(X_10,identity)))
| inverse(inverse(divide(X_10,identity))) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(X_10),identity)),X_10) ),[0],$fot(inverse(inverse(divide(X_10,identity))))]]) ).
cnf(refute_0_181,plain,
( inverse(divide(inverse(X_10),identity)) != X_10
| inverse(inverse(divide(X_10,identity))) = X_10 ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_10),identity)),inverse(inverse(divide(X_10,identity)))) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
inverse(inverse(divide(X_10,identity))) = X_10,
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_10),identity)),X_10) )],[refute_0_167,refute_0_181]) ).
cnf(refute_0_183,plain,
( multiply(X_15,inverse(divide(X_10,identity))) != divide(X_15,inverse(inverse(divide(X_10,identity))))
| inverse(inverse(divide(X_10,identity))) != X_10
| multiply(X_15,inverse(divide(X_10,identity))) = divide(X_15,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,inverse(divide(X_10,identity))),divide(X_15,inverse(inverse(divide(X_10,identity))))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_184,plain,
( multiply(X_15,inverse(divide(X_10,identity))) != divide(X_15,inverse(inverse(divide(X_10,identity))))
| multiply(X_15,inverse(divide(X_10,identity))) = divide(X_15,X_10) ),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_10,identity))),X_10) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
multiply(X_15,inverse(divide(X_10,identity))) = divide(X_15,X_10),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(divide(X_10,identity))),divide(X_15,inverse(inverse(divide(X_10,identity))))) )],[refute_0_130,refute_0_184]) ).
cnf(refute_0_186,plain,
multiply(X_15,identity) = divide(X_15,inverse(identity)),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_15)),bind(B,$fot(identity))]]) ).
cnf(refute_0_187,plain,
( multiply(X_15,identity) != divide(X_15,inverse(identity))
| inverse(identity) != identity
| multiply(X_15,identity) = divide(X_15,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,identity),divide(X_15,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_188,plain,
( multiply(X_15,identity) != divide(X_15,inverse(identity))
| multiply(X_15,identity) = divide(X_15,identity) ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_160,refute_0_187]) ).
cnf(refute_0_189,plain,
multiply(X_15,identity) = divide(X_15,identity),
inference(resolve,[$cnf( $equal(multiply(X_15,identity),divide(X_15,inverse(identity))) )],[refute_0_186,refute_0_188]) ).
cnf(refute_0_190,plain,
( multiply(X_15,identity) != divide(X_15,identity)
| divide(X_15,identity) = multiply(X_15,identity) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(multiply(X_15,identity))),bind(Y,$fot(divide(X_15,identity)))]]) ).
cnf(refute_0_191,plain,
divide(X_15,identity) = multiply(X_15,identity),
inference(resolve,[$cnf( $equal(multiply(X_15,identity),divide(X_15,identity)) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
divide(X_10,identity) = multiply(X_10,identity),
inference(subst,[],[refute_0_191:[bind(X_15,$fot(X_10))]]) ).
cnf(refute_0_193,plain,
inverse(divide(X_10,identity)) = inverse(divide(X_10,identity)),
introduced(tautology,[refl,[$fot(inverse(divide(X_10,identity)))]]) ).
cnf(refute_0_194,plain,
( divide(X_10,identity) != multiply(X_10,identity)
| inverse(divide(X_10,identity)) != inverse(divide(X_10,identity))
| inverse(divide(X_10,identity)) = inverse(multiply(X_10,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_10,identity)),inverse(divide(X_10,identity))) ),[1,0],$fot(multiply(X_10,identity))]]) ).
cnf(refute_0_195,plain,
( divide(X_10,identity) != multiply(X_10,identity)
| inverse(divide(X_10,identity)) = inverse(multiply(X_10,identity)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_10,identity)),inverse(divide(X_10,identity))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
inverse(divide(X_10,identity)) = inverse(multiply(X_10,identity)),
inference(resolve,[$cnf( $equal(divide(X_10,identity),multiply(X_10,identity)) )],[refute_0_192,refute_0_195]) ).
cnf(refute_0_197,plain,
multiply(X_15,inverse(divide(X_10,identity))) = multiply(X_15,inverse(divide(X_10,identity))),
introduced(tautology,[refl,[$fot(multiply(X_15,inverse(divide(X_10,identity))))]]) ).
cnf(refute_0_198,plain,
( multiply(X_15,inverse(divide(X_10,identity))) != multiply(X_15,inverse(divide(X_10,identity)))
| inverse(divide(X_10,identity)) != inverse(multiply(X_10,identity))
| multiply(X_15,inverse(divide(X_10,identity))) = multiply(X_15,inverse(multiply(X_10,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,inverse(divide(X_10,identity))),multiply(X_15,inverse(divide(X_10,identity)))) ),[1,1],$fot(inverse(multiply(X_10,identity)))]]) ).
cnf(refute_0_199,plain,
( inverse(divide(X_10,identity)) != inverse(multiply(X_10,identity))
| multiply(X_15,inverse(divide(X_10,identity))) = multiply(X_15,inverse(multiply(X_10,identity))) ),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(divide(X_10,identity))),multiply(X_15,inverse(divide(X_10,identity)))) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
multiply(X_15,inverse(divide(X_10,identity))) = multiply(X_15,inverse(multiply(X_10,identity))),
inference(resolve,[$cnf( $equal(inverse(divide(X_10,identity)),inverse(multiply(X_10,identity))) )],[refute_0_196,refute_0_199]) ).
cnf(refute_0_201,plain,
( multiply(X_15,inverse(divide(X_10,identity))) != multiply(X_15,inverse(multiply(X_10,identity)))
| multiply(X_15,inverse(divide(X_10,identity))) != divide(X_15,X_10)
| multiply(X_15,inverse(multiply(X_10,identity))) = divide(X_15,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,inverse(divide(X_10,identity))),divide(X_15,X_10)) ),[0],$fot(multiply(X_15,inverse(multiply(X_10,identity))))]]) ).
cnf(refute_0_202,plain,
( multiply(X_15,inverse(divide(X_10,identity))) != divide(X_15,X_10)
| multiply(X_15,inverse(multiply(X_10,identity))) = divide(X_15,X_10) ),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(divide(X_10,identity))),multiply(X_15,inverse(multiply(X_10,identity)))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
multiply(X_15,inverse(multiply(X_10,identity))) = divide(X_15,X_10),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(divide(X_10,identity))),divide(X_15,X_10)) )],[refute_0_185,refute_0_202]) ).
cnf(refute_0_204,plain,
divide(divide(inverse(inverse(X_7)),divide(divide(inverse(inverse(X_7)),identity),C)),identity) = C,
inference(subst,[],[single_axiom:[bind(A,$fot(inverse(inverse(X_7)))),bind(B,$fot(identity))]]) ).
cnf(refute_0_205,plain,
divide(inverse(divide(inverse(identity),X_6)),identity) = X_6,
inference(subst,[],[refute_0_145:[bind(X_3,$fot(identity)),bind(X_4,$fot(X_6))]]) ).
cnf(refute_0_206,plain,
( divide(inverse(divide(inverse(identity),X_6)),identity) != X_6
| inverse(identity) != identity
| divide(inverse(divide(identity,X_6)),identity) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(identity),X_6)),identity),X_6) ),[0,0,0,0],$fot(identity)]]) ).
cnf(refute_0_207,plain,
( divide(inverse(divide(inverse(identity),X_6)),identity) != X_6
| divide(inverse(divide(identity,X_6)),identity) = X_6 ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_160,refute_0_206]) ).
cnf(refute_0_208,plain,
divide(inverse(divide(identity,X_6)),identity) = X_6,
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(identity),X_6)),identity),X_6) )],[refute_0_205,refute_0_207]) ).
cnf(refute_0_209,plain,
divide(identity,X_6) = inverse(X_6),
inference(subst,[],[refute_0_39:[bind(A,$fot(X_6))]]) ).
cnf(refute_0_210,plain,
inverse(divide(identity,X_6)) = inverse(divide(identity,X_6)),
introduced(tautology,[refl,[$fot(inverse(divide(identity,X_6)))]]) ).
cnf(refute_0_211,plain,
( divide(identity,X_6) != inverse(X_6)
| inverse(divide(identity,X_6)) != inverse(divide(identity,X_6))
| inverse(divide(identity,X_6)) = inverse(inverse(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(identity,X_6)),inverse(divide(identity,X_6))) ),[1,0],$fot(inverse(X_6))]]) ).
cnf(refute_0_212,plain,
( divide(identity,X_6) != inverse(X_6)
| inverse(divide(identity,X_6)) = inverse(inverse(X_6)) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_6)),inverse(divide(identity,X_6))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
inverse(divide(identity,X_6)) = inverse(inverse(X_6)),
inference(resolve,[$cnf( $equal(divide(identity,X_6),inverse(X_6)) )],[refute_0_209,refute_0_212]) ).
cnf(refute_0_214,plain,
divide(inverse(divide(identity,X_6)),identity) = divide(inverse(divide(identity,X_6)),identity),
introduced(tautology,[refl,[$fot(divide(inverse(divide(identity,X_6)),identity))]]) ).
cnf(refute_0_215,plain,
( divide(inverse(divide(identity,X_6)),identity) != divide(inverse(divide(identity,X_6)),identity)
| inverse(divide(identity,X_6)) != inverse(inverse(X_6))
| divide(inverse(divide(identity,X_6)),identity) = divide(inverse(inverse(X_6)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(identity,X_6)),identity),divide(inverse(divide(identity,X_6)),identity)) ),[1,0],$fot(inverse(inverse(X_6)))]]) ).
cnf(refute_0_216,plain,
( inverse(divide(identity,X_6)) != inverse(inverse(X_6))
| divide(inverse(divide(identity,X_6)),identity) = divide(inverse(inverse(X_6)),identity) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,X_6)),identity),divide(inverse(divide(identity,X_6)),identity)) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
divide(inverse(divide(identity,X_6)),identity) = divide(inverse(inverse(X_6)),identity),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_6)),inverse(inverse(X_6))) )],[refute_0_213,refute_0_216]) ).
cnf(refute_0_218,plain,
( divide(inverse(divide(identity,X_6)),identity) != X_6
| divide(inverse(divide(identity,X_6)),identity) != divide(inverse(inverse(X_6)),identity)
| divide(inverse(inverse(X_6)),identity) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(identity,X_6)),identity),X_6) ),[0],$fot(divide(inverse(inverse(X_6)),identity))]]) ).
cnf(refute_0_219,plain,
( divide(inverse(divide(identity,X_6)),identity) != X_6
| divide(inverse(inverse(X_6)),identity) = X_6 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,X_6)),identity),divide(inverse(inverse(X_6)),identity)) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
divide(inverse(inverse(X_6)),identity) = X_6,
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,X_6)),identity),X_6) )],[refute_0_208,refute_0_219]) ).
cnf(refute_0_221,plain,
divide(inverse(inverse(X_7)),identity) = X_7,
inference(subst,[],[refute_0_220:[bind(X_6,$fot(X_7))]]) ).
cnf(refute_0_222,plain,
( divide(divide(inverse(inverse(X_7)),divide(divide(inverse(inverse(X_7)),identity),C)),identity) != C
| divide(inverse(inverse(X_7)),identity) != X_7
| divide(divide(inverse(inverse(X_7)),divide(X_7,C)),identity) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(inverse(inverse(X_7)),divide(divide(inverse(inverse(X_7)),identity),C)),identity),C) ),[0,0,1,0],$fot(X_7)]]) ).
cnf(refute_0_223,plain,
( divide(divide(inverse(inverse(X_7)),divide(divide(inverse(inverse(X_7)),identity),C)),identity) != C
| divide(divide(inverse(inverse(X_7)),divide(X_7,C)),identity) = C ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_7)),identity),X_7) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
divide(divide(inverse(inverse(X_7)),divide(X_7,C)),identity) = C,
inference(resolve,[$cnf( $equal(divide(divide(inverse(inverse(X_7)),divide(divide(inverse(inverse(X_7)),identity),C)),identity),C) )],[refute_0_204,refute_0_223]) ).
cnf(refute_0_225,plain,
divide(divide(inverse(inverse(X_7)),divide(X_7,C)),identity) = multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity),
inference(subst,[],[refute_0_191:[bind(X_15,$fot(divide(inverse(inverse(X_7)),divide(X_7,C))))]]) ).
cnf(refute_0_226,plain,
( divide(divide(inverse(inverse(X_7)),divide(X_7,C)),identity) != C
| divide(divide(inverse(inverse(X_7)),divide(X_7,C)),identity) != multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity)
| multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(inverse(inverse(X_7)),divide(X_7,C)),identity),C) ),[0],$fot(multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity))]]) ).
cnf(refute_0_227,plain,
( divide(divide(inverse(inverse(X_7)),divide(X_7,C)),identity) != C
| multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity) = C ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(inverse(X_7)),divide(X_7,C)),identity),multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity)) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity) = C,
inference(resolve,[$cnf( $equal(divide(divide(inverse(inverse(X_7)),divide(X_7,C)),identity),C) )],[refute_0_224,refute_0_227]) ).
cnf(refute_0_229,plain,
divide(multiply(inverse(X_4),X_4),inverse(X_4)) = X_4,
inference(subst,[],[refute_0_76:[bind(X_3,$fot(inverse(X_4)))]]) ).
cnf(refute_0_230,plain,
identity = divide(inverse(X_16),inverse(X_16)),
inference(subst,[],[identity:[bind(A,$fot(inverse(X_16)))]]) ).
cnf(refute_0_231,plain,
multiply(inverse(X_16),X_16) = divide(inverse(X_16),inverse(X_16)),
inference(subst,[],[refute_0_24:[bind(A,$fot(inverse(X_16))),bind(B,$fot(X_16))]]) ).
cnf(refute_0_232,plain,
( multiply(inverse(X_16),X_16) != divide(inverse(X_16),inverse(X_16))
| divide(inverse(X_16),inverse(X_16)) = multiply(inverse(X_16),X_16) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(multiply(inverse(X_16),X_16))),bind(Y,$fot(divide(inverse(X_16),inverse(X_16))))]]) ).
cnf(refute_0_233,plain,
divide(inverse(X_16),inverse(X_16)) = multiply(inverse(X_16),X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),X_16),divide(inverse(X_16),inverse(X_16))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
( divide(inverse(X_16),inverse(X_16)) != multiply(inverse(X_16),X_16)
| identity != divide(inverse(X_16),inverse(X_16))
| identity = multiply(inverse(X_16),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(identity,divide(inverse(X_16),inverse(X_16))) ),[1],$fot(multiply(inverse(X_16),X_16))]]) ).
cnf(refute_0_235,plain,
( identity != divide(inverse(X_16),inverse(X_16))
| identity = multiply(inverse(X_16),X_16) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_16),inverse(X_16)),multiply(inverse(X_16),X_16)) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
identity = multiply(inverse(X_16),X_16),
inference(resolve,[$cnf( $equal(identity,divide(inverse(X_16),inverse(X_16))) )],[refute_0_230,refute_0_235]) ).
cnf(refute_0_237,plain,
identity = multiply(inverse(X_4),X_4),
inference(subst,[],[refute_0_236:[bind(X_16,$fot(X_4))]]) ).
cnf(refute_0_238,plain,
( identity != multiply(inverse(X_4),X_4)
| multiply(inverse(X_4),X_4) = identity ),
inference(subst,[],[refute_0_9:[bind(X,$fot(identity)),bind(Y,$fot(multiply(inverse(X_4),X_4)))]]) ).
cnf(refute_0_239,plain,
multiply(inverse(X_4),X_4) = identity,
inference(resolve,[$cnf( $equal(identity,multiply(inverse(X_4),X_4)) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
( multiply(inverse(X_4),X_4) != identity
| divide(multiply(inverse(X_4),X_4),inverse(X_4)) != X_4
| divide(identity,inverse(X_4)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(X_4),X_4),inverse(X_4)),X_4) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_241,plain,
( divide(multiply(inverse(X_4),X_4),inverse(X_4)) != X_4
| divide(identity,inverse(X_4)) = X_4 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),X_4),identity) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
divide(identity,inverse(X_4)) = X_4,
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_4),X_4),inverse(X_4)),X_4) )],[refute_0_229,refute_0_241]) ).
cnf(refute_0_243,plain,
divide(identity,inverse(X_4)) = inverse(inverse(X_4)),
inference(subst,[],[refute_0_39:[bind(A,$fot(inverse(X_4)))]]) ).
cnf(refute_0_244,plain,
( divide(identity,inverse(X_4)) != X_4
| divide(identity,inverse(X_4)) != inverse(inverse(X_4))
| inverse(inverse(X_4)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(identity,inverse(X_4)),X_4) ),[0],$fot(inverse(inverse(X_4)))]]) ).
cnf(refute_0_245,plain,
( divide(identity,inverse(X_4)) != X_4
| inverse(inverse(X_4)) = X_4 ),
inference(resolve,[$cnf( $equal(divide(identity,inverse(X_4)),inverse(inverse(X_4))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
inverse(inverse(X_4)) = X_4,
inference(resolve,[$cnf( $equal(divide(identity,inverse(X_4)),X_4) )],[refute_0_242,refute_0_245]) ).
cnf(refute_0_247,plain,
inverse(inverse(C)) = C,
inference(subst,[],[refute_0_246:[bind(X_4,$fot(C))]]) ).
cnf(refute_0_248,plain,
inverse(inverse(divide(divide(A,divide(divide(A,identity),C)),identity))) = divide(A,divide(divide(A,identity),C)),
inference(subst,[],[refute_0_182:[bind(X_10,$fot(divide(A,divide(divide(A,identity),C))))]]) ).
cnf(refute_0_249,plain,
divide(divide(A,divide(divide(A,identity),C)),identity) = C,
inference(subst,[],[single_axiom:[bind(B,$fot(identity))]]) ).
cnf(refute_0_250,plain,
( divide(divide(A,divide(divide(A,identity),C)),identity) != C
| inverse(inverse(divide(divide(A,divide(divide(A,identity),C)),identity))) != divide(A,divide(divide(A,identity),C))
| inverse(inverse(C)) = divide(A,divide(divide(A,identity),C)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(divide(A,divide(divide(A,identity),C)),identity))),divide(A,divide(divide(A,identity),C))) ),[0,0,0],$fot(C)]]) ).
cnf(refute_0_251,plain,
( inverse(inverse(divide(divide(A,divide(divide(A,identity),C)),identity))) != divide(A,divide(divide(A,identity),C))
| inverse(inverse(C)) = divide(A,divide(divide(A,identity),C)) ),
inference(resolve,[$cnf( $equal(divide(divide(A,divide(divide(A,identity),C)),identity),C) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
inverse(inverse(C)) = divide(A,divide(divide(A,identity),C)),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(divide(A,divide(divide(A,identity),C)),identity))),divide(A,divide(divide(A,identity),C))) )],[refute_0_248,refute_0_251]) ).
cnf(refute_0_253,plain,
divide(divide(X_2,divide(divide(X_2,X_3),divide(X_2,X_3))),X_3) = divide(X_2,X_3),
inference(subst,[],[single_axiom:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(divide(X_2,X_3)))]]) ).
cnf(refute_0_254,plain,
identity = divide(divide(X_2,X_3),divide(X_2,X_3)),
inference(subst,[],[identity:[bind(A,$fot(divide(X_2,X_3)))]]) ).
cnf(refute_0_255,plain,
( identity != divide(divide(X_2,X_3),divide(X_2,X_3))
| divide(divide(X_2,X_3),divide(X_2,X_3)) = identity ),
inference(subst,[],[refute_0_9:[bind(X,$fot(identity)),bind(Y,$fot(divide(divide(X_2,X_3),divide(X_2,X_3))))]]) ).
cnf(refute_0_256,plain,
divide(divide(X_2,X_3),divide(X_2,X_3)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(divide(X_2,X_3),divide(X_2,X_3))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
( divide(divide(X_2,X_3),divide(X_2,X_3)) != identity
| divide(divide(X_2,divide(divide(X_2,X_3),divide(X_2,X_3))),X_3) != divide(X_2,X_3)
| divide(divide(X_2,identity),X_3) = divide(X_2,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_2,divide(divide(X_2,X_3),divide(X_2,X_3))),X_3),divide(X_2,X_3)) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_258,plain,
( divide(divide(X_2,divide(divide(X_2,X_3),divide(X_2,X_3))),X_3) != divide(X_2,X_3)
| divide(divide(X_2,identity),X_3) = divide(X_2,X_3) ),
inference(resolve,[$cnf( $equal(divide(divide(X_2,X_3),divide(X_2,X_3)),identity) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
divide(divide(X_2,identity),X_3) = divide(X_2,X_3),
inference(resolve,[$cnf( $equal(divide(divide(X_2,divide(divide(X_2,X_3),divide(X_2,X_3))),X_3),divide(X_2,X_3)) )],[refute_0_253,refute_0_258]) ).
cnf(refute_0_260,plain,
divide(divide(A,identity),C) = divide(A,C),
inference(subst,[],[refute_0_259:[bind(X_2,$fot(A)),bind(X_3,$fot(C))]]) ).
cnf(refute_0_261,plain,
divide(A,divide(divide(A,identity),C)) = divide(A,divide(divide(A,identity),C)),
introduced(tautology,[refl,[$fot(divide(A,divide(divide(A,identity),C)))]]) ).
cnf(refute_0_262,plain,
( divide(A,divide(divide(A,identity),C)) != divide(A,divide(divide(A,identity),C))
| divide(divide(A,identity),C) != divide(A,C)
| divide(A,divide(divide(A,identity),C)) = divide(A,divide(A,C)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(A,identity),C)),divide(A,divide(divide(A,identity),C))) ),[1,1],$fot(divide(A,C))]]) ).
cnf(refute_0_263,plain,
( divide(divide(A,identity),C) != divide(A,C)
| divide(A,divide(divide(A,identity),C)) = divide(A,divide(A,C)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(A,identity),C)),divide(A,divide(divide(A,identity),C))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
divide(A,divide(divide(A,identity),C)) = divide(A,divide(A,C)),
inference(resolve,[$cnf( $equal(divide(divide(A,identity),C),divide(A,C)) )],[refute_0_260,refute_0_263]) ).
cnf(refute_0_265,plain,
( divide(A,divide(divide(A,identity),C)) != divide(A,divide(A,C))
| inverse(inverse(C)) != divide(A,divide(divide(A,identity),C))
| inverse(inverse(C)) = divide(A,divide(A,C)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(C)),divide(A,divide(divide(A,identity),C))) ),[1],$fot(divide(A,divide(A,C)))]]) ).
cnf(refute_0_266,plain,
( inverse(inverse(C)) != divide(A,divide(divide(A,identity),C))
| inverse(inverse(C)) = divide(A,divide(A,C)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(A,identity),C)),divide(A,divide(A,C))) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
inverse(inverse(C)) = divide(A,divide(A,C)),
inference(resolve,[$cnf( $equal(inverse(inverse(C)),divide(A,divide(divide(A,identity),C))) )],[refute_0_252,refute_0_266]) ).
cnf(refute_0_268,plain,
( inverse(inverse(C)) != divide(A,divide(A,C))
| divide(A,divide(A,C)) = inverse(inverse(C)) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(inverse(inverse(C)))),bind(Y,$fot(divide(A,divide(A,C))))]]) ).
cnf(refute_0_269,plain,
divide(A,divide(A,C)) = inverse(inverse(C)),
inference(resolve,[$cnf( $equal(inverse(inverse(C)),divide(A,divide(A,C))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
divide(X_7,divide(X_7,C)) = inverse(inverse(C)),
inference(subst,[],[refute_0_269:[bind(A,$fot(X_7))]]) ).
cnf(refute_0_271,plain,
( divide(X_7,divide(X_7,C)) != inverse(inverse(C))
| inverse(inverse(C)) != C
| divide(X_7,divide(X_7,C)) = C ),
inference(subst,[],[refute_0_46:[bind(X,$fot(divide(X_7,divide(X_7,C)))),bind(Y,$fot(inverse(inverse(C)))),bind(Z,$fot(C))]]) ).
cnf(refute_0_272,plain,
( inverse(inverse(C)) != C
| divide(X_7,divide(X_7,C)) = C ),
inference(resolve,[$cnf( $equal(divide(X_7,divide(X_7,C)),inverse(inverse(C))) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
divide(X_7,divide(X_7,C)) = C,
inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_247,refute_0_272]) ).
cnf(refute_0_274,plain,
inverse(inverse(X_7)) = X_7,
inference(subst,[],[refute_0_246:[bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_275,plain,
divide(inverse(inverse(X_7)),divide(X_7,C)) = divide(inverse(inverse(X_7)),divide(X_7,C)),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(X_7)),divide(X_7,C)))]]) ).
cnf(refute_0_276,plain,
( divide(inverse(inverse(X_7)),divide(X_7,C)) != divide(inverse(inverse(X_7)),divide(X_7,C))
| inverse(inverse(X_7)) != X_7
| divide(inverse(inverse(X_7)),divide(X_7,C)) = divide(X_7,divide(X_7,C)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_7)),divide(X_7,C)),divide(inverse(inverse(X_7)),divide(X_7,C))) ),[1,0],$fot(X_7)]]) ).
cnf(refute_0_277,plain,
( inverse(inverse(X_7)) != X_7
| divide(inverse(inverse(X_7)),divide(X_7,C)) = divide(X_7,divide(X_7,C)) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_7)),divide(X_7,C)),divide(inverse(inverse(X_7)),divide(X_7,C))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
divide(inverse(inverse(X_7)),divide(X_7,C)) = divide(X_7,divide(X_7,C)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_7)),X_7) )],[refute_0_274,refute_0_277]) ).
cnf(refute_0_279,plain,
( divide(X_7,divide(X_7,C)) != C
| divide(inverse(inverse(X_7)),divide(X_7,C)) != divide(X_7,divide(X_7,C))
| divide(inverse(inverse(X_7)),divide(X_7,C)) = C ),
inference(subst,[],[refute_0_46:[bind(X,$fot(divide(inverse(inverse(X_7)),divide(X_7,C)))),bind(Y,$fot(divide(X_7,divide(X_7,C)))),bind(Z,$fot(C))]]) ).
cnf(refute_0_280,plain,
( divide(X_7,divide(X_7,C)) != C
| divide(inverse(inverse(X_7)),divide(X_7,C)) = C ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_7)),divide(X_7,C)),divide(X_7,divide(X_7,C))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
divide(inverse(inverse(X_7)),divide(X_7,C)) = C,
inference(resolve,[$cnf( $equal(divide(X_7,divide(X_7,C)),C) )],[refute_0_273,refute_0_280]) ).
cnf(refute_0_282,plain,
multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity) = multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity),
introduced(tautology,[refl,[$fot(multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity))]]) ).
cnf(refute_0_283,plain,
( multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity) != multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity)
| divide(inverse(inverse(X_7)),divide(X_7,C)) != C
| multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity) = multiply(C,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity),multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity)) ),[1,0],$fot(C)]]) ).
cnf(refute_0_284,plain,
( divide(inverse(inverse(X_7)),divide(X_7,C)) != C
| multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity) = multiply(C,identity) ),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity),multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity)) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity) = multiply(C,identity),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_7)),divide(X_7,C)),C) )],[refute_0_281,refute_0_284]) ).
cnf(refute_0_286,plain,
( multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity) != C
| multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity) != multiply(C,identity)
| multiply(C,identity) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity),C) ),[0],$fot(multiply(C,identity))]]) ).
cnf(refute_0_287,plain,
( multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity) != C
| multiply(C,identity) = C ),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity),multiply(C,identity)) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
multiply(C,identity) = C,
inference(resolve,[$cnf( $equal(multiply(divide(inverse(inverse(X_7)),divide(X_7,C)),identity),C) )],[refute_0_228,refute_0_287]) ).
cnf(refute_0_289,plain,
multiply(X_10,identity) = X_10,
inference(subst,[],[refute_0_288:[bind(C,$fot(X_10))]]) ).
cnf(refute_0_290,plain,
inverse(multiply(X_10,identity)) = inverse(multiply(X_10,identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(X_10,identity)))]]) ).
cnf(refute_0_291,plain,
( multiply(X_10,identity) != X_10
| inverse(multiply(X_10,identity)) != inverse(multiply(X_10,identity))
| inverse(multiply(X_10,identity)) = inverse(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,identity)),inverse(multiply(X_10,identity))) ),[1,0],$fot(X_10)]]) ).
cnf(refute_0_292,plain,
( multiply(X_10,identity) != X_10
| inverse(multiply(X_10,identity)) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,identity)),inverse(multiply(X_10,identity))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
inverse(multiply(X_10,identity)) = inverse(X_10),
inference(resolve,[$cnf( $equal(multiply(X_10,identity),X_10) )],[refute_0_289,refute_0_292]) ).
cnf(refute_0_294,plain,
multiply(X_15,inverse(multiply(X_10,identity))) = multiply(X_15,inverse(multiply(X_10,identity))),
introduced(tautology,[refl,[$fot(multiply(X_15,inverse(multiply(X_10,identity))))]]) ).
cnf(refute_0_295,plain,
( multiply(X_15,inverse(multiply(X_10,identity))) != multiply(X_15,inverse(multiply(X_10,identity)))
| inverse(multiply(X_10,identity)) != inverse(X_10)
| multiply(X_15,inverse(multiply(X_10,identity))) = multiply(X_15,inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,inverse(multiply(X_10,identity))),multiply(X_15,inverse(multiply(X_10,identity)))) ),[1,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_296,plain,
( inverse(multiply(X_10,identity)) != inverse(X_10)
| multiply(X_15,inverse(multiply(X_10,identity))) = multiply(X_15,inverse(X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(multiply(X_10,identity))),multiply(X_15,inverse(multiply(X_10,identity)))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
multiply(X_15,inverse(multiply(X_10,identity))) = multiply(X_15,inverse(X_10)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,identity)),inverse(X_10)) )],[refute_0_293,refute_0_296]) ).
cnf(refute_0_298,plain,
( multiply(X_15,inverse(multiply(X_10,identity))) != multiply(X_15,inverse(X_10))
| multiply(X_15,inverse(multiply(X_10,identity))) != divide(X_15,X_10)
| multiply(X_15,inverse(X_10)) = divide(X_15,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,inverse(multiply(X_10,identity))),divide(X_15,X_10)) ),[0],$fot(multiply(X_15,inverse(X_10)))]]) ).
cnf(refute_0_299,plain,
( multiply(X_15,inverse(multiply(X_10,identity))) != divide(X_15,X_10)
| multiply(X_15,inverse(X_10)) = divide(X_15,X_10) ),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(multiply(X_10,identity))),multiply(X_15,inverse(X_10))) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
multiply(X_15,inverse(X_10)) = divide(X_15,X_10),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(multiply(X_10,identity))),divide(X_15,X_10)) )],[refute_0_203,refute_0_299]) ).
cnf(refute_0_301,plain,
multiply(inverse(X_16),inverse(X_26)) = divide(inverse(X_16),X_26),
inference(subst,[],[refute_0_300:[bind(X_10,$fot(X_26)),bind(X_15,$fot(inverse(X_16)))]]) ).
cnf(refute_0_302,plain,
( multiply(multiply(inverse(X_16),inverse(X_26)),X_16) != inverse(X_26)
| multiply(inverse(X_16),inverse(X_26)) != divide(inverse(X_16),X_26)
| multiply(divide(inverse(X_16),X_26),X_16) = inverse(X_26) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_16),inverse(X_26)),X_16),inverse(X_26)) ),[0,0],$fot(divide(inverse(X_16),X_26))]]) ).
cnf(refute_0_303,plain,
( multiply(multiply(inverse(X_16),inverse(X_26)),X_16) != inverse(X_26)
| multiply(divide(inverse(X_16),X_26),X_16) = inverse(X_26) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),inverse(X_26)),divide(inverse(X_16),X_26)) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
multiply(divide(inverse(X_16),X_26),X_16) = inverse(X_26),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_16),inverse(X_26)),X_16),inverse(X_26)) )],[refute_0_129,refute_0_303]) ).
cnf(refute_0_305,plain,
multiply(divide(inverse(X_16),X_26),X_16) = multiply(X_16,divide(inverse(X_16),X_26)),
inference(subst,[],[refute_0_82:[bind(X_39,$fot(divide(inverse(X_16),X_26))),bind(X_4,$fot(X_16))]]) ).
cnf(refute_0_306,plain,
( multiply(divide(inverse(X_16),X_26),X_16) != multiply(X_16,divide(inverse(X_16),X_26))
| multiply(divide(inverse(X_16),X_26),X_16) != inverse(X_26)
| multiply(X_16,divide(inverse(X_16),X_26)) = inverse(X_26) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(X_16),X_26),X_16),inverse(X_26)) ),[0],$fot(multiply(X_16,divide(inverse(X_16),X_26)))]]) ).
cnf(refute_0_307,plain,
( multiply(divide(inverse(X_16),X_26),X_16) != inverse(X_26)
| multiply(X_16,divide(inverse(X_16),X_26)) = inverse(X_26) ),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(X_16),X_26),X_16),multiply(X_16,divide(inverse(X_16),X_26))) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
multiply(X_16,divide(inverse(X_16),X_26)) = inverse(X_26),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(X_16),X_26),X_16),inverse(X_26)) )],[refute_0_304,refute_0_307]) ).
cnf(refute_0_309,plain,
multiply(divide(A,B),divide(inverse(divide(A,B)),X_46)) = inverse(X_46),
inference(subst,[],[refute_0_308:[bind(X_16,$fot(divide(A,B))),bind(X_26,$fot(X_46))]]) ).
cnf(refute_0_310,plain,
( multiply(divide(A,B),divide(inverse(divide(A,B)),X_46)) != inverse(X_46)
| divide(divide(A,multiply(divide(A,B),divide(inverse(divide(A,B)),X_46))),B) != inverse(divide(inverse(divide(A,B)),X_46))
| divide(divide(A,inverse(X_46)),B) = inverse(divide(inverse(divide(A,B)),X_46)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,multiply(divide(A,B),divide(inverse(divide(A,B)),X_46))),B),inverse(divide(inverse(divide(A,B)),X_46))) ),[0,0,1],$fot(inverse(X_46))]]) ).
cnf(refute_0_311,plain,
( divide(divide(A,multiply(divide(A,B),divide(inverse(divide(A,B)),X_46))),B) != inverse(divide(inverse(divide(A,B)),X_46))
| divide(divide(A,inverse(X_46)),B) = inverse(divide(inverse(divide(A,B)),X_46)) ),
inference(resolve,[$cnf( $equal(multiply(divide(A,B),divide(inverse(divide(A,B)),X_46)),inverse(X_46)) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
divide(divide(A,inverse(X_46)),B) = inverse(divide(inverse(divide(A,B)),X_46)),
inference(resolve,[$cnf( $equal(divide(divide(A,multiply(divide(A,B),divide(inverse(divide(A,B)),X_46))),B),inverse(divide(inverse(divide(A,B)),X_46))) )],[refute_0_121,refute_0_311]) ).
cnf(refute_0_313,plain,
divide(A,inverse(X_46)) = multiply(A,X_46),
inference(subst,[],[refute_0_26:[bind(B,$fot(X_46))]]) ).
cnf(refute_0_314,plain,
divide(divide(A,inverse(X_46)),B) = divide(divide(A,inverse(X_46)),B),
introduced(tautology,[refl,[$fot(divide(divide(A,inverse(X_46)),B))]]) ).
cnf(refute_0_315,plain,
( divide(A,inverse(X_46)) != multiply(A,X_46)
| divide(divide(A,inverse(X_46)),B) != divide(divide(A,inverse(X_46)),B)
| divide(divide(A,inverse(X_46)),B) = divide(multiply(A,X_46),B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,inverse(X_46)),B),divide(divide(A,inverse(X_46)),B)) ),[1,0],$fot(multiply(A,X_46))]]) ).
cnf(refute_0_316,plain,
( divide(A,inverse(X_46)) != multiply(A,X_46)
| divide(divide(A,inverse(X_46)),B) = divide(multiply(A,X_46),B) ),
inference(resolve,[$cnf( $equal(divide(divide(A,inverse(X_46)),B),divide(divide(A,inverse(X_46)),B)) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
divide(divide(A,inverse(X_46)),B) = divide(multiply(A,X_46),B),
inference(resolve,[$cnf( $equal(divide(A,inverse(X_46)),multiply(A,X_46)) )],[refute_0_313,refute_0_316]) ).
cnf(refute_0_318,plain,
( divide(divide(A,inverse(X_46)),B) != divide(multiply(A,X_46),B)
| divide(divide(A,inverse(X_46)),B) != inverse(divide(inverse(divide(A,B)),X_46))
| divide(multiply(A,X_46),B) = inverse(divide(inverse(divide(A,B)),X_46)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,inverse(X_46)),B),inverse(divide(inverse(divide(A,B)),X_46))) ),[0],$fot(divide(multiply(A,X_46),B))]]) ).
cnf(refute_0_319,plain,
( divide(divide(A,inverse(X_46)),B) != inverse(divide(inverse(divide(A,B)),X_46))
| divide(multiply(A,X_46),B) = inverse(divide(inverse(divide(A,B)),X_46)) ),
inference(resolve,[$cnf( $equal(divide(divide(A,inverse(X_46)),B),divide(multiply(A,X_46),B)) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
divide(X_46,inverse(divide(A,B))) = multiply(X_46,divide(A,B)),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_46)),bind(B,$fot(divide(A,B)))]]) ).
cnf(refute_0_321,plain,
multiply(divide(inverse(multiply(inverse(X_39),X_16)),X_39),X_39) = inverse(multiply(inverse(X_39),X_16)),
inference(subst,[],[refute_0_52:[bind(X_31,$fot(inverse(multiply(inverse(X_39),X_16)))),bind(X_32,$fot(X_39))]]) ).
cnf(refute_0_322,plain,
divide(inverse(divide(inverse(X_3),inverse(X_16))),X_3) = inverse(X_16),
inference(subst,[],[refute_0_145:[bind(X_4,$fot(inverse(X_16)))]]) ).
cnf(refute_0_323,plain,
multiply(inverse(X_3),X_16) = divide(inverse(X_3),inverse(X_16)),
inference(subst,[],[refute_0_24:[bind(A,$fot(inverse(X_3))),bind(B,$fot(X_16))]]) ).
cnf(refute_0_324,plain,
( multiply(inverse(X_3),X_16) != divide(inverse(X_3),inverse(X_16))
| divide(inverse(X_3),inverse(X_16)) = multiply(inverse(X_3),X_16) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(multiply(inverse(X_3),X_16))),bind(Y,$fot(divide(inverse(X_3),inverse(X_16))))]]) ).
cnf(refute_0_325,plain,
divide(inverse(X_3),inverse(X_16)) = multiply(inverse(X_3),X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_16),divide(inverse(X_3),inverse(X_16))) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
( divide(inverse(X_3),inverse(X_16)) != multiply(inverse(X_3),X_16)
| divide(inverse(divide(inverse(X_3),inverse(X_16))),X_3) != inverse(X_16)
| divide(inverse(multiply(inverse(X_3),X_16)),X_3) = inverse(X_16) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(X_3),inverse(X_16))),X_3),inverse(X_16)) ),[0,0,0],$fot(multiply(inverse(X_3),X_16))]]) ).
cnf(refute_0_327,plain,
( divide(inverse(divide(inverse(X_3),inverse(X_16))),X_3) != inverse(X_16)
| divide(inverse(multiply(inverse(X_3),X_16)),X_3) = inverse(X_16) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_3),inverse(X_16)),multiply(inverse(X_3),X_16)) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
divide(inverse(multiply(inverse(X_3),X_16)),X_3) = inverse(X_16),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(X_3),inverse(X_16))),X_3),inverse(X_16)) )],[refute_0_322,refute_0_327]) ).
cnf(refute_0_329,plain,
divide(inverse(multiply(inverse(X_39),X_16)),X_39) = inverse(X_16),
inference(subst,[],[refute_0_328:[bind(X_3,$fot(X_39))]]) ).
cnf(refute_0_330,plain,
( multiply(divide(inverse(multiply(inverse(X_39),X_16)),X_39),X_39) != inverse(multiply(inverse(X_39),X_16))
| divide(inverse(multiply(inverse(X_39),X_16)),X_39) != inverse(X_16)
| multiply(inverse(X_16),X_39) = inverse(multiply(inverse(X_39),X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(multiply(inverse(X_39),X_16)),X_39),X_39),inverse(multiply(inverse(X_39),X_16))) ),[0,0],$fot(inverse(X_16))]]) ).
cnf(refute_0_331,plain,
( multiply(divide(inverse(multiply(inverse(X_39),X_16)),X_39),X_39) != inverse(multiply(inverse(X_39),X_16))
| multiply(inverse(X_16),X_39) = inverse(multiply(inverse(X_39),X_16)) ),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(inverse(X_39),X_16)),X_39),inverse(X_16)) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
multiply(inverse(X_16),X_39) = inverse(multiply(inverse(X_39),X_16)),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(multiply(inverse(X_39),X_16)),X_39),X_39),inverse(multiply(inverse(X_39),X_16))) )],[refute_0_321,refute_0_331]) ).
cnf(refute_0_333,plain,
multiply(divide(divide(X_39,X_26),X_39),X_39) = divide(X_39,X_26),
inference(subst,[],[refute_0_52:[bind(X_31,$fot(divide(X_39,X_26))),bind(X_32,$fot(X_39))]]) ).
cnf(refute_0_334,plain,
divide(multiply(X_3,inverse(X_26)),X_3) = inverse(X_26),
inference(subst,[],[refute_0_76:[bind(X_4,$fot(inverse(X_26)))]]) ).
cnf(refute_0_335,plain,
multiply(X_3,inverse(X_26)) = divide(X_3,X_26),
inference(subst,[],[refute_0_300:[bind(X_10,$fot(X_26)),bind(X_15,$fot(X_3))]]) ).
cnf(refute_0_336,plain,
( multiply(X_3,inverse(X_26)) != divide(X_3,X_26)
| divide(multiply(X_3,inverse(X_26)),X_3) != inverse(X_26)
| divide(divide(X_3,X_26),X_3) = inverse(X_26) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_3,inverse(X_26)),X_3),inverse(X_26)) ),[0,0],$fot(divide(X_3,X_26))]]) ).
cnf(refute_0_337,plain,
( divide(multiply(X_3,inverse(X_26)),X_3) != inverse(X_26)
| divide(divide(X_3,X_26),X_3) = inverse(X_26) ),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(X_26)),divide(X_3,X_26)) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
divide(divide(X_3,X_26),X_3) = inverse(X_26),
inference(resolve,[$cnf( $equal(divide(multiply(X_3,inverse(X_26)),X_3),inverse(X_26)) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
divide(divide(X_39,X_26),X_39) = inverse(X_26),
inference(subst,[],[refute_0_338:[bind(X_3,$fot(X_39))]]) ).
cnf(refute_0_340,plain,
( multiply(divide(divide(X_39,X_26),X_39),X_39) != divide(X_39,X_26)
| divide(divide(X_39,X_26),X_39) != inverse(X_26)
| multiply(inverse(X_26),X_39) = divide(X_39,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(divide(X_39,X_26),X_39),X_39),divide(X_39,X_26)) ),[0,0],$fot(inverse(X_26))]]) ).
cnf(refute_0_341,plain,
( multiply(divide(divide(X_39,X_26),X_39),X_39) != divide(X_39,X_26)
| multiply(inverse(X_26),X_39) = divide(X_39,X_26) ),
inference(resolve,[$cnf( $equal(divide(divide(X_39,X_26),X_39),inverse(X_26)) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
multiply(inverse(X_26),X_39) = divide(X_39,X_26),
inference(resolve,[$cnf( $equal(multiply(divide(divide(X_39,X_26),X_39),X_39),divide(X_39,X_26)) )],[refute_0_333,refute_0_341]) ).
cnf(refute_0_343,plain,
multiply(inverse(X_16),X_39) = divide(X_39,X_16),
inference(subst,[],[refute_0_342:[bind(X_26,$fot(X_16))]]) ).
cnf(refute_0_344,plain,
( multiply(inverse(X_16),X_39) != divide(X_39,X_16)
| multiply(inverse(X_16),X_39) != inverse(multiply(inverse(X_39),X_16))
| divide(X_39,X_16) = inverse(multiply(inverse(X_39),X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_16),X_39),inverse(multiply(inverse(X_39),X_16))) ),[0],$fot(divide(X_39,X_16))]]) ).
cnf(refute_0_345,plain,
( multiply(inverse(X_16),X_39) != inverse(multiply(inverse(X_39),X_16))
| divide(X_39,X_16) = inverse(multiply(inverse(X_39),X_16)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),X_39),divide(X_39,X_16)) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
multiply(inverse(X_39),X_16) = divide(X_16,X_39),
inference(subst,[],[refute_0_342:[bind(X_26,$fot(X_39)),bind(X_39,$fot(X_16))]]) ).
cnf(refute_0_347,plain,
inverse(multiply(inverse(X_39),X_16)) = inverse(multiply(inverse(X_39),X_16)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(X_39),X_16)))]]) ).
cnf(refute_0_348,plain,
( multiply(inverse(X_39),X_16) != divide(X_16,X_39)
| inverse(multiply(inverse(X_39),X_16)) != inverse(multiply(inverse(X_39),X_16))
| inverse(multiply(inverse(X_39),X_16)) = inverse(divide(X_16,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_39),X_16)),inverse(multiply(inverse(X_39),X_16))) ),[1,0],$fot(divide(X_16,X_39))]]) ).
cnf(refute_0_349,plain,
( multiply(inverse(X_39),X_16) != divide(X_16,X_39)
| inverse(multiply(inverse(X_39),X_16)) = inverse(divide(X_16,X_39)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_39),X_16)),inverse(multiply(inverse(X_39),X_16))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
inverse(multiply(inverse(X_39),X_16)) = inverse(divide(X_16,X_39)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_39),X_16),divide(X_16,X_39)) )],[refute_0_346,refute_0_349]) ).
cnf(refute_0_351,plain,
( divide(X_39,X_16) != inverse(multiply(inverse(X_39),X_16))
| inverse(multiply(inverse(X_39),X_16)) != inverse(divide(X_16,X_39))
| divide(X_39,X_16) = inverse(divide(X_16,X_39)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_39,X_16),inverse(divide(X_16,X_39))) ),[0],$fot(inverse(multiply(inverse(X_39),X_16)))]]) ).
cnf(refute_0_352,plain,
( divide(X_39,X_16) != inverse(multiply(inverse(X_39),X_16))
| divide(X_39,X_16) = inverse(divide(X_16,X_39)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_39),X_16)),inverse(divide(X_16,X_39))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
( multiply(inverse(X_16),X_39) != inverse(multiply(inverse(X_39),X_16))
| divide(X_39,X_16) = inverse(divide(X_16,X_39)) ),
inference(resolve,[$cnf( $equal(divide(X_39,X_16),inverse(multiply(inverse(X_39),X_16))) )],[refute_0_345,refute_0_352]) ).
cnf(refute_0_354,plain,
divide(X_39,X_16) = inverse(divide(X_16,X_39)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),X_39),inverse(multiply(inverse(X_39),X_16))) )],[refute_0_332,refute_0_353]) ).
cnf(refute_0_355,plain,
( divide(X_39,X_16) != inverse(divide(X_16,X_39))
| inverse(divide(X_16,X_39)) = divide(X_39,X_16) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(divide(X_39,X_16))),bind(Y,$fot(inverse(divide(X_16,X_39))))]]) ).
cnf(refute_0_356,plain,
inverse(divide(X_16,X_39)) = divide(X_39,X_16),
inference(resolve,[$cnf( $equal(divide(X_39,X_16),inverse(divide(X_16,X_39))) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
inverse(divide(inverse(divide(A,B)),X_46)) = divide(X_46,inverse(divide(A,B))),
inference(subst,[],[refute_0_356:[bind(X_16,$fot(inverse(divide(A,B)))),bind(X_39,$fot(X_46))]]) ).
cnf(refute_0_358,plain,
( divide(X_46,inverse(divide(A,B))) != multiply(X_46,divide(A,B))
| inverse(divide(inverse(divide(A,B)),X_46)) != divide(X_46,inverse(divide(A,B)))
| inverse(divide(inverse(divide(A,B)),X_46)) = multiply(X_46,divide(A,B)) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(inverse(divide(inverse(divide(A,B)),X_46)))),bind(Y,$fot(divide(X_46,inverse(divide(A,B))))),bind(Z,$fot(multiply(X_46,divide(A,B))))]]) ).
cnf(refute_0_359,plain,
( divide(X_46,inverse(divide(A,B))) != multiply(X_46,divide(A,B))
| inverse(divide(inverse(divide(A,B)),X_46)) = multiply(X_46,divide(A,B)) ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(divide(A,B)),X_46)),divide(X_46,inverse(divide(A,B)))) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
inverse(divide(inverse(divide(A,B)),X_46)) = multiply(X_46,divide(A,B)),
inference(resolve,[$cnf( $equal(divide(X_46,inverse(divide(A,B))),multiply(X_46,divide(A,B))) )],[refute_0_320,refute_0_359]) ).
cnf(refute_0_361,plain,
( divide(multiply(A,X_46),B) != inverse(divide(inverse(divide(A,B)),X_46))
| inverse(divide(inverse(divide(A,B)),X_46)) != multiply(X_46,divide(A,B))
| divide(multiply(A,X_46),B) = multiply(X_46,divide(A,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(multiply(A,X_46),B),multiply(X_46,divide(A,B))) ),[0],$fot(inverse(divide(inverse(divide(A,B)),X_46)))]]) ).
cnf(refute_0_362,plain,
( divide(multiply(A,X_46),B) != inverse(divide(inverse(divide(A,B)),X_46))
| divide(multiply(A,X_46),B) = multiply(X_46,divide(A,B)) ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(divide(A,B)),X_46)),multiply(X_46,divide(A,B))) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
( divide(divide(A,inverse(X_46)),B) != inverse(divide(inverse(divide(A,B)),X_46))
| divide(multiply(A,X_46),B) = multiply(X_46,divide(A,B)) ),
inference(resolve,[$cnf( $equal(divide(multiply(A,X_46),B),inverse(divide(inverse(divide(A,B)),X_46))) )],[refute_0_319,refute_0_362]) ).
cnf(refute_0_364,plain,
divide(multiply(A,X_46),B) = multiply(X_46,divide(A,B)),
inference(resolve,[$cnf( $equal(divide(divide(A,inverse(X_46)),B),inverse(divide(inverse(divide(A,B)),X_46))) )],[refute_0_312,refute_0_363]) ).
cnf(refute_0_365,plain,
divide(multiply(A,X_16),C) = multiply(X_16,divide(A,C)),
inference(subst,[],[refute_0_364:[bind(B,$fot(C)),bind(X_46,$fot(X_16))]]) ).
cnf(refute_0_366,plain,
divide(A,divide(multiply(A,X_16),C)) = divide(A,divide(multiply(A,X_16),C)),
introduced(tautology,[refl,[$fot(divide(A,divide(multiply(A,X_16),C)))]]) ).
cnf(refute_0_367,plain,
( divide(A,divide(multiply(A,X_16),C)) != divide(A,divide(multiply(A,X_16),C))
| divide(multiply(A,X_16),C) != multiply(X_16,divide(A,C))
| divide(A,divide(multiply(A,X_16),C)) = divide(A,multiply(X_16,divide(A,C))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(multiply(A,X_16),C)),divide(A,divide(multiply(A,X_16),C))) ),[1,1],$fot(multiply(X_16,divide(A,C)))]]) ).
cnf(refute_0_368,plain,
( divide(multiply(A,X_16),C) != multiply(X_16,divide(A,C))
| divide(A,divide(multiply(A,X_16),C)) = divide(A,multiply(X_16,divide(A,C))) ),
inference(resolve,[$cnf( $equal(divide(A,divide(multiply(A,X_16),C)),divide(A,divide(multiply(A,X_16),C))) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
divide(A,divide(multiply(A,X_16),C)) = divide(A,multiply(X_16,divide(A,C))),
inference(resolve,[$cnf( $equal(divide(multiply(A,X_16),C),multiply(X_16,divide(A,C))) )],[refute_0_365,refute_0_368]) ).
cnf(refute_0_370,plain,
multiply(X_16,divide(A,divide(multiply(A,X_16),C))) = multiply(X_16,divide(A,divide(multiply(A,X_16),C))),
introduced(tautology,[refl,[$fot(multiply(X_16,divide(A,divide(multiply(A,X_16),C))))]]) ).
cnf(refute_0_371,plain,
( multiply(X_16,divide(A,divide(multiply(A,X_16),C))) != multiply(X_16,divide(A,divide(multiply(A,X_16),C)))
| divide(A,divide(multiply(A,X_16),C)) != divide(A,multiply(X_16,divide(A,C)))
| multiply(X_16,divide(A,divide(multiply(A,X_16),C))) = multiply(X_16,divide(A,multiply(X_16,divide(A,C)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_16,divide(A,divide(multiply(A,X_16),C))),multiply(X_16,divide(A,divide(multiply(A,X_16),C)))) ),[1,1],$fot(divide(A,multiply(X_16,divide(A,C))))]]) ).
cnf(refute_0_372,plain,
( divide(A,divide(multiply(A,X_16),C)) != divide(A,multiply(X_16,divide(A,C)))
| multiply(X_16,divide(A,divide(multiply(A,X_16),C))) = multiply(X_16,divide(A,multiply(X_16,divide(A,C)))) ),
inference(resolve,[$cnf( $equal(multiply(X_16,divide(A,divide(multiply(A,X_16),C))),multiply(X_16,divide(A,divide(multiply(A,X_16),C)))) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
multiply(X_16,divide(A,divide(multiply(A,X_16),C))) = multiply(X_16,divide(A,multiply(X_16,divide(A,C)))),
inference(resolve,[$cnf( $equal(divide(A,divide(multiply(A,X_16),C)),divide(A,multiply(X_16,divide(A,C)))) )],[refute_0_369,refute_0_372]) ).
cnf(refute_0_374,plain,
( multiply(X_16,divide(A,divide(multiply(A,X_16),C))) != C
| multiply(X_16,divide(A,divide(multiply(A,X_16),C))) != multiply(X_16,divide(A,multiply(X_16,divide(A,C))))
| multiply(X_16,divide(A,multiply(X_16,divide(A,C)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_16,divide(A,divide(multiply(A,X_16),C))),C) ),[0],$fot(multiply(X_16,divide(A,multiply(X_16,divide(A,C)))))]]) ).
cnf(refute_0_375,plain,
( multiply(X_16,divide(A,divide(multiply(A,X_16),C))) != C
| multiply(X_16,divide(A,multiply(X_16,divide(A,C)))) = C ),
inference(resolve,[$cnf( $equal(multiply(X_16,divide(A,divide(multiply(A,X_16),C))),multiply(X_16,divide(A,multiply(X_16,divide(A,C))))) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
multiply(X_16,divide(A,multiply(X_16,divide(A,C)))) = C,
inference(resolve,[$cnf( $equal(multiply(X_16,divide(A,divide(multiply(A,X_16),C))),C) )],[refute_0_113,refute_0_375]) ).
cnf(refute_0_377,plain,
multiply(X_49,divide(X_47,multiply(X_49,divide(X_47,inverse(B))))) = inverse(B),
inference(subst,[],[refute_0_376:[bind(A,$fot(X_47)),bind(C,$fot(inverse(B))),bind(X_16,$fot(X_49))]]) ).
cnf(refute_0_378,plain,
multiply(X_47,B) = divide(X_47,inverse(B)),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_47))]]) ).
cnf(refute_0_379,plain,
( multiply(X_47,B) != divide(X_47,inverse(B))
| divide(X_47,inverse(B)) = multiply(X_47,B) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(multiply(X_47,B))),bind(Y,$fot(divide(X_47,inverse(B))))]]) ).
cnf(refute_0_380,plain,
divide(X_47,inverse(B)) = multiply(X_47,B),
inference(resolve,[$cnf( $equal(multiply(X_47,B),divide(X_47,inverse(B))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
( multiply(X_49,divide(X_47,multiply(X_49,divide(X_47,inverse(B))))) != inverse(B)
| divide(X_47,inverse(B)) != multiply(X_47,B)
| multiply(X_49,divide(X_47,multiply(X_49,multiply(X_47,B)))) = inverse(B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_49,divide(X_47,multiply(X_49,divide(X_47,inverse(B))))),inverse(B)) ),[0,1,1,1],$fot(multiply(X_47,B))]]) ).
cnf(refute_0_382,plain,
( multiply(X_49,divide(X_47,multiply(X_49,divide(X_47,inverse(B))))) != inverse(B)
| multiply(X_49,divide(X_47,multiply(X_49,multiply(X_47,B)))) = inverse(B) ),
inference(resolve,[$cnf( $equal(divide(X_47,inverse(B)),multiply(X_47,B)) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
multiply(X_49,divide(X_47,multiply(X_49,multiply(X_47,B)))) = inverse(B),
inference(resolve,[$cnf( $equal(multiply(X_49,divide(X_47,multiply(X_49,divide(X_47,inverse(B))))),inverse(B)) )],[refute_0_377,refute_0_382]) ).
cnf(refute_0_384,plain,
multiply(X_49,divide(X_47,multiply(X_49,multiply(X_47,divide(X_51,multiply(X_47,multiply(X_51,X_50))))))) = inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50)))),
inference(subst,[],[refute_0_383:[bind(B,$fot(divide(X_51,multiply(X_47,multiply(X_51,X_50)))))]]) ).
cnf(refute_0_385,plain,
multiply(X_47,divide(X_51,multiply(X_47,multiply(X_51,X_50)))) = inverse(X_50),
inference(subst,[],[refute_0_383:[bind(B,$fot(X_50)),bind(X_47,$fot(X_51)),bind(X_49,$fot(X_47))]]) ).
cnf(refute_0_386,plain,
( multiply(X_47,divide(X_51,multiply(X_47,multiply(X_51,X_50)))) != inverse(X_50)
| multiply(X_49,divide(X_47,multiply(X_49,multiply(X_47,divide(X_51,multiply(X_47,multiply(X_51,X_50))))))) != inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50))))
| multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))) = inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_49,divide(X_47,multiply(X_49,multiply(X_47,divide(X_51,multiply(X_47,multiply(X_51,X_50))))))),inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50))))) ),[0,1,1,1],$fot(inverse(X_50))]]) ).
cnf(refute_0_387,plain,
( multiply(X_49,divide(X_47,multiply(X_49,multiply(X_47,divide(X_51,multiply(X_47,multiply(X_51,X_50))))))) != inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50))))
| multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))) = inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50)))) ),
inference(resolve,[$cnf( $equal(multiply(X_47,divide(X_51,multiply(X_47,multiply(X_51,X_50)))),inverse(X_50)) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))) = inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50)))),
inference(resolve,[$cnf( $equal(multiply(X_49,divide(X_47,multiply(X_49,multiply(X_47,divide(X_51,multiply(X_47,multiply(X_51,X_50))))))),inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50))))) )],[refute_0_384,refute_0_387]) ).
cnf(refute_0_389,plain,
multiply(divide(divide(multiply(X_39,X_9),divide(X_9,C)),X_39),X_39) = divide(multiply(X_39,X_9),divide(X_9,C)),
inference(subst,[],[refute_0_52:[bind(X_31,$fot(divide(multiply(X_39,X_9),divide(X_9,C)))),bind(X_32,$fot(X_39))]]) ).
cnf(refute_0_390,plain,
divide(divide(multiply(B,X_9),divide(divide(multiply(B,X_9),B),C)),B) = C,
inference(subst,[],[single_axiom:[bind(A,$fot(multiply(B,X_9)))]]) ).
cnf(refute_0_391,plain,
divide(multiply(B,X_9),B) = X_9,
inference(subst,[],[refute_0_76:[bind(X_3,$fot(B)),bind(X_4,$fot(X_9))]]) ).
cnf(refute_0_392,plain,
( divide(multiply(B,X_9),B) != X_9
| divide(divide(multiply(B,X_9),divide(divide(multiply(B,X_9),B),C)),B) != C
| divide(divide(multiply(B,X_9),divide(X_9,C)),B) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(multiply(B,X_9),divide(divide(multiply(B,X_9),B),C)),B),C) ),[0,0,1,0],$fot(X_9)]]) ).
cnf(refute_0_393,plain,
( divide(divide(multiply(B,X_9),divide(divide(multiply(B,X_9),B),C)),B) != C
| divide(divide(multiply(B,X_9),divide(X_9,C)),B) = C ),
inference(resolve,[$cnf( $equal(divide(multiply(B,X_9),B),X_9) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
divide(divide(multiply(B,X_9),divide(X_9,C)),B) = C,
inference(resolve,[$cnf( $equal(divide(divide(multiply(B,X_9),divide(divide(multiply(B,X_9),B),C)),B),C) )],[refute_0_390,refute_0_393]) ).
cnf(refute_0_395,plain,
divide(divide(multiply(X_39,X_9),divide(X_9,C)),X_39) = C,
inference(subst,[],[refute_0_394:[bind(B,$fot(X_39))]]) ).
cnf(refute_0_396,plain,
( multiply(divide(divide(multiply(X_39,X_9),divide(X_9,C)),X_39),X_39) != divide(multiply(X_39,X_9),divide(X_9,C))
| divide(divide(multiply(X_39,X_9),divide(X_9,C)),X_39) != C
| multiply(C,X_39) = divide(multiply(X_39,X_9),divide(X_9,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(divide(multiply(X_39,X_9),divide(X_9,C)),X_39),X_39),divide(multiply(X_39,X_9),divide(X_9,C))) ),[0,0],$fot(C)]]) ).
cnf(refute_0_397,plain,
( multiply(divide(divide(multiply(X_39,X_9),divide(X_9,C)),X_39),X_39) != divide(multiply(X_39,X_9),divide(X_9,C))
| multiply(C,X_39) = divide(multiply(X_39,X_9),divide(X_9,C)) ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(X_39,X_9),divide(X_9,C)),X_39),C) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
multiply(C,X_39) = divide(multiply(X_39,X_9),divide(X_9,C)),
inference(resolve,[$cnf( $equal(multiply(divide(divide(multiply(X_39,X_9),divide(X_9,C)),X_39),X_39),divide(multiply(X_39,X_9),divide(X_9,C))) )],[refute_0_389,refute_0_397]) ).
cnf(refute_0_399,plain,
divide(multiply(X_39,X_9),divide(X_9,C)) = multiply(X_9,divide(X_39,divide(X_9,C))),
inference(subst,[],[refute_0_364:[bind(A,$fot(X_39)),bind(B,$fot(divide(X_9,C))),bind(X_46,$fot(X_9))]]) ).
cnf(refute_0_400,plain,
( multiply(C,X_39) != divide(multiply(X_39,X_9),divide(X_9,C))
| divide(multiply(X_39,X_9),divide(X_9,C)) != multiply(X_9,divide(X_39,divide(X_9,C)))
| multiply(C,X_39) = multiply(X_9,divide(X_39,divide(X_9,C))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(C,X_39),multiply(X_9,divide(X_39,divide(X_9,C)))) ),[0],$fot(divide(multiply(X_39,X_9),divide(X_9,C)))]]) ).
cnf(refute_0_401,plain,
( multiply(C,X_39) != divide(multiply(X_39,X_9),divide(X_9,C))
| multiply(C,X_39) = multiply(X_9,divide(X_39,divide(X_9,C))) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_39,X_9),divide(X_9,C)),multiply(X_9,divide(X_39,divide(X_9,C)))) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
multiply(C,X_39) = multiply(X_9,divide(X_39,divide(X_9,C))),
inference(resolve,[$cnf( $equal(multiply(C,X_39),divide(multiply(X_39,X_9),divide(X_9,C))) )],[refute_0_398,refute_0_401]) ).
cnf(refute_0_403,plain,
( multiply(C,X_39) != multiply(X_9,divide(X_39,divide(X_9,C)))
| multiply(X_9,divide(X_39,divide(X_9,C))) = multiply(C,X_39) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(multiply(C,X_39))),bind(Y,$fot(multiply(X_9,divide(X_39,divide(X_9,C)))))]]) ).
cnf(refute_0_404,plain,
multiply(X_9,divide(X_39,divide(X_9,C))) = multiply(C,X_39),
inference(resolve,[$cnf( $equal(multiply(C,X_39),multiply(X_9,divide(X_39,divide(X_9,C)))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
multiply(X_49,divide(X_47,divide(X_49,X_50))) = multiply(X_50,X_47),
inference(subst,[],[refute_0_404:[bind(C,$fot(X_50)),bind(X_39,$fot(X_47)),bind(X_9,$fot(X_49))]]) ).
cnf(refute_0_406,plain,
multiply(X_49,inverse(X_50)) = divide(X_49,X_50),
inference(subst,[],[refute_0_300:[bind(X_10,$fot(X_50)),bind(X_15,$fot(X_49))]]) ).
cnf(refute_0_407,plain,
divide(X_47,multiply(X_49,inverse(X_50))) = divide(X_47,multiply(X_49,inverse(X_50))),
introduced(tautology,[refl,[$fot(divide(X_47,multiply(X_49,inverse(X_50))))]]) ).
cnf(refute_0_408,plain,
( multiply(X_49,inverse(X_50)) != divide(X_49,X_50)
| divide(X_47,multiply(X_49,inverse(X_50))) != divide(X_47,multiply(X_49,inverse(X_50)))
| divide(X_47,multiply(X_49,inverse(X_50))) = divide(X_47,divide(X_49,X_50)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_47,multiply(X_49,inverse(X_50))),divide(X_47,multiply(X_49,inverse(X_50)))) ),[1,1],$fot(divide(X_49,X_50))]]) ).
cnf(refute_0_409,plain,
( multiply(X_49,inverse(X_50)) != divide(X_49,X_50)
| divide(X_47,multiply(X_49,inverse(X_50))) = divide(X_47,divide(X_49,X_50)) ),
inference(resolve,[$cnf( $equal(divide(X_47,multiply(X_49,inverse(X_50))),divide(X_47,multiply(X_49,inverse(X_50)))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
divide(X_47,multiply(X_49,inverse(X_50))) = divide(X_47,divide(X_49,X_50)),
inference(resolve,[$cnf( $equal(multiply(X_49,inverse(X_50)),divide(X_49,X_50)) )],[refute_0_406,refute_0_409]) ).
cnf(refute_0_411,plain,
multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))) = multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))),
introduced(tautology,[refl,[$fot(multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))))]]) ).
cnf(refute_0_412,plain,
( multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))) != multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50))))
| divide(X_47,multiply(X_49,inverse(X_50))) != divide(X_47,divide(X_49,X_50))
| multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))) = multiply(X_49,divide(X_47,divide(X_49,X_50))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))),multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50))))) ),[1,1],$fot(divide(X_47,divide(X_49,X_50)))]]) ).
cnf(refute_0_413,plain,
( divide(X_47,multiply(X_49,inverse(X_50))) != divide(X_47,divide(X_49,X_50))
| multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))) = multiply(X_49,divide(X_47,divide(X_49,X_50))) ),
inference(resolve,[$cnf( $equal(multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))),multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50))))) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))) = multiply(X_49,divide(X_47,divide(X_49,X_50))),
inference(resolve,[$cnf( $equal(divide(X_47,multiply(X_49,inverse(X_50))),divide(X_47,divide(X_49,X_50))) )],[refute_0_410,refute_0_413]) ).
cnf(refute_0_415,plain,
( multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))) != multiply(X_49,divide(X_47,divide(X_49,X_50)))
| multiply(X_49,divide(X_47,divide(X_49,X_50))) != multiply(X_50,X_47)
| multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))) = multiply(X_50,X_47) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))))),bind(Y,$fot(multiply(X_49,divide(X_47,divide(X_49,X_50))))),bind(Z,$fot(multiply(X_50,X_47)))]]) ).
cnf(refute_0_416,plain,
( multiply(X_49,divide(X_47,divide(X_49,X_50))) != multiply(X_50,X_47)
| multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))) = multiply(X_50,X_47) ),
inference(resolve,[$cnf( $equal(multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))),multiply(X_49,divide(X_47,divide(X_49,X_50)))) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))) = multiply(X_50,X_47),
inference(resolve,[$cnf( $equal(multiply(X_49,divide(X_47,divide(X_49,X_50))),multiply(X_50,X_47)) )],[refute_0_405,refute_0_416]) ).
cnf(refute_0_418,plain,
( multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))) != multiply(X_50,X_47)
| multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))) != inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50))))
| multiply(X_50,X_47) = inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))),inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50))))) ),[0],$fot(multiply(X_50,X_47))]]) ).
cnf(refute_0_419,plain,
( multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))) != inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50))))
| multiply(X_50,X_47) = inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50)))) ),
inference(resolve,[$cnf( $equal(multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))),multiply(X_50,X_47)) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
divide(multiply(X_47,multiply(X_51,X_50)),X_51) = multiply(multiply(X_51,X_50),divide(X_47,X_51)),
inference(subst,[],[refute_0_364:[bind(A,$fot(X_47)),bind(B,$fot(X_51)),bind(X_46,$fot(multiply(X_51,X_50)))]]) ).
cnf(refute_0_421,plain,
inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50)))) = divide(multiply(X_47,multiply(X_51,X_50)),X_51),
inference(subst,[],[refute_0_356:[bind(X_16,$fot(X_51)),bind(X_39,$fot(multiply(X_47,multiply(X_51,X_50))))]]) ).
cnf(refute_0_422,plain,
( divide(multiply(X_47,multiply(X_51,X_50)),X_51) != multiply(multiply(X_51,X_50),divide(X_47,X_51))
| inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50)))) != divide(multiply(X_47,multiply(X_51,X_50)),X_51)
| inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50)))) = multiply(multiply(X_51,X_50),divide(X_47,X_51)) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50)))))),bind(Y,$fot(divide(multiply(X_47,multiply(X_51,X_50)),X_51))),bind(Z,$fot(multiply(multiply(X_51,X_50),divide(X_47,X_51))))]]) ).
cnf(refute_0_423,plain,
( divide(multiply(X_47,multiply(X_51,X_50)),X_51) != multiply(multiply(X_51,X_50),divide(X_47,X_51))
| inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50)))) = multiply(multiply(X_51,X_50),divide(X_47,X_51)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50)))),divide(multiply(X_47,multiply(X_51,X_50)),X_51)) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50)))) = multiply(multiply(X_51,X_50),divide(X_47,X_51)),
inference(resolve,[$cnf( $equal(divide(multiply(X_47,multiply(X_51,X_50)),X_51),multiply(multiply(X_51,X_50),divide(X_47,X_51))) )],[refute_0_420,refute_0_423]) ).
cnf(refute_0_425,plain,
( multiply(X_50,X_47) != inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50))))
| inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50)))) != multiply(multiply(X_51,X_50),divide(X_47,X_51))
| multiply(X_50,X_47) = multiply(multiply(X_51,X_50),divide(X_47,X_51)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_50,X_47),multiply(multiply(X_51,X_50),divide(X_47,X_51))) ),[0],$fot(inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50)))))]]) ).
cnf(refute_0_426,plain,
( multiply(X_50,X_47) != inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50))))
| multiply(X_50,X_47) = multiply(multiply(X_51,X_50),divide(X_47,X_51)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50)))),multiply(multiply(X_51,X_50),divide(X_47,X_51))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
( multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))) != inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50))))
| multiply(X_50,X_47) = multiply(multiply(X_51,X_50),divide(X_47,X_51)) ),
inference(resolve,[$cnf( $equal(multiply(X_50,X_47),inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50))))) )],[refute_0_419,refute_0_426]) ).
cnf(refute_0_428,plain,
multiply(X_50,X_47) = multiply(multiply(X_51,X_50),divide(X_47,X_51)),
inference(resolve,[$cnf( $equal(multiply(X_49,divide(X_47,multiply(X_49,inverse(X_50)))),inverse(divide(X_51,multiply(X_47,multiply(X_51,X_50))))) )],[refute_0_388,refute_0_427]) ).
cnf(refute_0_429,plain,
multiply(divide(X_57,X_51),X_47) = multiply(multiply(X_51,divide(X_57,X_51)),divide(X_47,X_51)),
inference(subst,[],[refute_0_428:[bind(X_50,$fot(divide(X_57,X_51)))]]) ).
cnf(refute_0_430,plain,
multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B) = divide(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),inverse(B)),
inference(subst,[],[refute_0_24:[bind(A,$fot(divide(multiply(inverse(B),X_35),divide(X_35,X_34))))]]) ).
cnf(refute_0_431,plain,
divide(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),inverse(B)) = X_34,
inference(subst,[],[refute_0_394:[bind(B,$fot(inverse(B))),bind(C,$fot(X_34)),bind(X_9,$fot(X_35))]]) ).
cnf(refute_0_432,plain,
( multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B) != divide(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),inverse(B))
| divide(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),inverse(B)) != X_34
| multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B) = X_34 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B),X_34) ),[0],$fot(divide(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),inverse(B)))]]) ).
cnf(refute_0_433,plain,
( multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B) != divide(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),inverse(B))
| multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B) = X_34 ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),inverse(B)),X_34) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B) = X_34,
inference(resolve,[$cnf( $equal(multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B),divide(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),inverse(B))) )],[refute_0_430,refute_0_433]) ).
cnf(refute_0_435,plain,
multiply(X_34,inverse(B)) = divide(X_34,B),
inference(subst,[],[refute_0_300:[bind(X_10,$fot(B)),bind(X_15,$fot(X_34))]]) ).
cnf(refute_0_436,plain,
( multiply(C,X_39) != divide(multiply(X_39,X_9),divide(X_9,C))
| divide(multiply(X_39,X_9),divide(X_9,C)) = multiply(C,X_39) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(multiply(C,X_39))),bind(Y,$fot(divide(multiply(X_39,X_9),divide(X_9,C))))]]) ).
cnf(refute_0_437,plain,
divide(multiply(X_39,X_9),divide(X_9,C)) = multiply(C,X_39),
inference(resolve,[$cnf( $equal(multiply(C,X_39),divide(multiply(X_39,X_9),divide(X_9,C))) )],[refute_0_398,refute_0_436]) ).
cnf(refute_0_438,plain,
divide(multiply(inverse(B),X_35),divide(X_35,X_34)) = multiply(X_34,inverse(B)),
inference(subst,[],[refute_0_437:[bind(C,$fot(X_34)),bind(X_39,$fot(inverse(B))),bind(X_9,$fot(X_35))]]) ).
cnf(refute_0_439,plain,
( multiply(X_34,inverse(B)) != divide(X_34,B)
| divide(multiply(inverse(B),X_35),divide(X_35,X_34)) != multiply(X_34,inverse(B))
| divide(multiply(inverse(B),X_35),divide(X_35,X_34)) = divide(X_34,B) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(divide(multiply(inverse(B),X_35),divide(X_35,X_34)))),bind(Y,$fot(multiply(X_34,inverse(B)))),bind(Z,$fot(divide(X_34,B)))]]) ).
cnf(refute_0_440,plain,
( multiply(X_34,inverse(B)) != divide(X_34,B)
| divide(multiply(inverse(B),X_35),divide(X_35,X_34)) = divide(X_34,B) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),multiply(X_34,inverse(B))) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
divide(multiply(inverse(B),X_35),divide(X_35,X_34)) = divide(X_34,B),
inference(resolve,[$cnf( $equal(multiply(X_34,inverse(B)),divide(X_34,B)) )],[refute_0_435,refute_0_440]) ).
cnf(refute_0_442,plain,
multiply(B,divide(multiply(inverse(B),X_35),divide(X_35,X_34))) = multiply(B,divide(multiply(inverse(B),X_35),divide(X_35,X_34))),
introduced(tautology,[refl,[$fot(multiply(B,divide(multiply(inverse(B),X_35),divide(X_35,X_34))))]]) ).
cnf(refute_0_443,plain,
( multiply(B,divide(multiply(inverse(B),X_35),divide(X_35,X_34))) != multiply(B,divide(multiply(inverse(B),X_35),divide(X_35,X_34)))
| divide(multiply(inverse(B),X_35),divide(X_35,X_34)) != divide(X_34,B)
| multiply(B,divide(multiply(inverse(B),X_35),divide(X_35,X_34))) = multiply(B,divide(X_34,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,divide(multiply(inverse(B),X_35),divide(X_35,X_34))),multiply(B,divide(multiply(inverse(B),X_35),divide(X_35,X_34)))) ),[1,1],$fot(divide(X_34,B))]]) ).
cnf(refute_0_444,plain,
( divide(multiply(inverse(B),X_35),divide(X_35,X_34)) != divide(X_34,B)
| multiply(B,divide(multiply(inverse(B),X_35),divide(X_35,X_34))) = multiply(B,divide(X_34,B)) ),
inference(resolve,[$cnf( $equal(multiply(B,divide(multiply(inverse(B),X_35),divide(X_35,X_34))),multiply(B,divide(multiply(inverse(B),X_35),divide(X_35,X_34)))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
multiply(B,divide(multiply(inverse(B),X_35),divide(X_35,X_34))) = multiply(B,divide(X_34,B)),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),divide(X_34,B)) )],[refute_0_441,refute_0_444]) ).
cnf(refute_0_446,plain,
multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B) = multiply(B,divide(multiply(inverse(B),X_35),divide(X_35,X_34))),
inference(subst,[],[refute_0_82:[bind(X_39,$fot(divide(multiply(inverse(B),X_35),divide(X_35,X_34)))),bind(X_4,$fot(B))]]) ).
cnf(refute_0_447,plain,
( multiply(B,divide(multiply(inverse(B),X_35),divide(X_35,X_34))) != multiply(B,divide(X_34,B))
| multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B) != multiply(B,divide(multiply(inverse(B),X_35),divide(X_35,X_34)))
| multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B) = multiply(B,divide(X_34,B)) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B))),bind(Y,$fot(multiply(B,divide(multiply(inverse(B),X_35),divide(X_35,X_34))))),bind(Z,$fot(multiply(B,divide(X_34,B))))]]) ).
cnf(refute_0_448,plain,
( multiply(B,divide(multiply(inverse(B),X_35),divide(X_35,X_34))) != multiply(B,divide(X_34,B))
| multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B) = multiply(B,divide(X_34,B)) ),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B),multiply(B,divide(multiply(inverse(B),X_35),divide(X_35,X_34)))) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B) = multiply(B,divide(X_34,B)),
inference(resolve,[$cnf( $equal(multiply(B,divide(multiply(inverse(B),X_35),divide(X_35,X_34))),multiply(B,divide(X_34,B))) )],[refute_0_445,refute_0_448]) ).
cnf(refute_0_450,plain,
( multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B) != X_34
| multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B) != multiply(B,divide(X_34,B))
| multiply(B,divide(X_34,B)) = X_34 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B),X_34) ),[0],$fot(multiply(B,divide(X_34,B)))]]) ).
cnf(refute_0_451,plain,
( multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B) != X_34
| multiply(B,divide(X_34,B)) = X_34 ),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B),multiply(B,divide(X_34,B))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
multiply(B,divide(X_34,B)) = X_34,
inference(resolve,[$cnf( $equal(multiply(divide(multiply(inverse(B),X_35),divide(X_35,X_34)),B),X_34) )],[refute_0_434,refute_0_451]) ).
cnf(refute_0_453,plain,
multiply(X_51,divide(X_57,X_51)) = X_57,
inference(subst,[],[refute_0_452:[bind(B,$fot(X_51)),bind(X_34,$fot(X_57))]]) ).
cnf(refute_0_454,plain,
( multiply(X_51,divide(X_57,X_51)) != X_57
| multiply(divide(X_57,X_51),X_47) != multiply(multiply(X_51,divide(X_57,X_51)),divide(X_47,X_51))
| multiply(divide(X_57,X_51),X_47) = multiply(X_57,divide(X_47,X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_57,X_51),X_47),multiply(multiply(X_51,divide(X_57,X_51)),divide(X_47,X_51))) ),[1,0],$fot(X_57)]]) ).
cnf(refute_0_455,plain,
( multiply(divide(X_57,X_51),X_47) != multiply(multiply(X_51,divide(X_57,X_51)),divide(X_47,X_51))
| multiply(divide(X_57,X_51),X_47) = multiply(X_57,divide(X_47,X_51)) ),
inference(resolve,[$cnf( $equal(multiply(X_51,divide(X_57,X_51)),X_57) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
multiply(divide(X_57,X_51),X_47) = multiply(X_57,divide(X_47,X_51)),
inference(resolve,[$cnf( $equal(multiply(divide(X_57,X_51),X_47),multiply(multiply(X_51,divide(X_57,X_51)),divide(X_47,X_51))) )],[refute_0_429,refute_0_455]) ).
cnf(refute_0_457,plain,
multiply(divide(X_84,inverse(B)),X_82) = multiply(X_84,divide(X_82,inverse(B))),
inference(subst,[],[refute_0_456:[bind(X_47,$fot(X_82)),bind(X_51,$fot(inverse(B))),bind(X_57,$fot(X_84))]]) ).
cnf(refute_0_458,plain,
multiply(X_84,B) = divide(X_84,inverse(B)),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_84))]]) ).
cnf(refute_0_459,plain,
( multiply(X_84,B) != divide(X_84,inverse(B))
| divide(X_84,inverse(B)) = multiply(X_84,B) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(multiply(X_84,B))),bind(Y,$fot(divide(X_84,inverse(B))))]]) ).
cnf(refute_0_460,plain,
divide(X_84,inverse(B)) = multiply(X_84,B),
inference(resolve,[$cnf( $equal(multiply(X_84,B),divide(X_84,inverse(B))) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
( multiply(divide(X_84,inverse(B)),X_82) != multiply(X_84,divide(X_82,inverse(B)))
| divide(X_84,inverse(B)) != multiply(X_84,B)
| multiply(multiply(X_84,B),X_82) = multiply(X_84,divide(X_82,inverse(B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_84,inverse(B)),X_82),multiply(X_84,divide(X_82,inverse(B)))) ),[0,0],$fot(multiply(X_84,B))]]) ).
cnf(refute_0_462,plain,
( multiply(divide(X_84,inverse(B)),X_82) != multiply(X_84,divide(X_82,inverse(B)))
| multiply(multiply(X_84,B),X_82) = multiply(X_84,divide(X_82,inverse(B))) ),
inference(resolve,[$cnf( $equal(divide(X_84,inverse(B)),multiply(X_84,B)) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
multiply(multiply(X_84,B),X_82) = multiply(X_84,divide(X_82,inverse(B))),
inference(resolve,[$cnf( $equal(multiply(divide(X_84,inverse(B)),X_82),multiply(X_84,divide(X_82,inverse(B)))) )],[refute_0_457,refute_0_462]) ).
cnf(refute_0_464,plain,
multiply(multiply(X_76,X_78),B) = divide(multiply(X_76,X_78),inverse(B)),
inference(subst,[],[refute_0_24:[bind(A,$fot(multiply(X_76,X_78)))]]) ).
cnf(refute_0_465,plain,
divide(multiply(X_76,X_78),inverse(B)) = multiply(X_78,divide(X_76,inverse(B))),
inference(subst,[],[refute_0_364:[bind(A,$fot(X_76)),bind(B,$fot(inverse(B))),bind(X_46,$fot(X_78))]]) ).
cnf(refute_0_466,plain,
( multiply(multiply(X_76,X_78),B) != divide(multiply(X_76,X_78),inverse(B))
| divide(multiply(X_76,X_78),inverse(B)) != multiply(X_78,divide(X_76,inverse(B)))
| multiply(multiply(X_76,X_78),B) = multiply(X_78,divide(X_76,inverse(B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_76,X_78),B),multiply(X_78,divide(X_76,inverse(B)))) ),[0],$fot(divide(multiply(X_76,X_78),inverse(B)))]]) ).
cnf(refute_0_467,plain,
( multiply(multiply(X_76,X_78),B) != divide(multiply(X_76,X_78),inverse(B))
| multiply(multiply(X_76,X_78),B) = multiply(X_78,divide(X_76,inverse(B))) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_76,X_78),inverse(B)),multiply(X_78,divide(X_76,inverse(B)))) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
multiply(multiply(X_76,X_78),B) = multiply(X_78,divide(X_76,inverse(B))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_76,X_78),B),divide(multiply(X_76,X_78),inverse(B))) )],[refute_0_464,refute_0_467]) ).
cnf(refute_0_469,plain,
divide(X_76,inverse(B)) = multiply(X_76,B),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_76))]]) ).
cnf(refute_0_470,plain,
multiply(X_78,divide(X_76,inverse(B))) = multiply(X_78,divide(X_76,inverse(B))),
introduced(tautology,[refl,[$fot(multiply(X_78,divide(X_76,inverse(B))))]]) ).
cnf(refute_0_471,plain,
( multiply(X_78,divide(X_76,inverse(B))) != multiply(X_78,divide(X_76,inverse(B)))
| divide(X_76,inverse(B)) != multiply(X_76,B)
| multiply(X_78,divide(X_76,inverse(B))) = multiply(X_78,multiply(X_76,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_78,divide(X_76,inverse(B))),multiply(X_78,divide(X_76,inverse(B)))) ),[1,1],$fot(multiply(X_76,B))]]) ).
cnf(refute_0_472,plain,
( divide(X_76,inverse(B)) != multiply(X_76,B)
| multiply(X_78,divide(X_76,inverse(B))) = multiply(X_78,multiply(X_76,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_78,divide(X_76,inverse(B))),multiply(X_78,divide(X_76,inverse(B)))) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
multiply(X_78,divide(X_76,inverse(B))) = multiply(X_78,multiply(X_76,B)),
inference(resolve,[$cnf( $equal(divide(X_76,inverse(B)),multiply(X_76,B)) )],[refute_0_469,refute_0_472]) ).
cnf(refute_0_474,plain,
( multiply(X_78,divide(X_76,inverse(B))) != multiply(X_78,multiply(X_76,B))
| multiply(multiply(X_76,X_78),B) != multiply(X_78,divide(X_76,inverse(B)))
| multiply(multiply(X_76,X_78),B) = multiply(X_78,multiply(X_76,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_76,X_78),B),multiply(X_78,divide(X_76,inverse(B)))) ),[1],$fot(multiply(X_78,multiply(X_76,B)))]]) ).
cnf(refute_0_475,plain,
( multiply(multiply(X_76,X_78),B) != multiply(X_78,divide(X_76,inverse(B)))
| multiply(multiply(X_76,X_78),B) = multiply(X_78,multiply(X_76,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_78,divide(X_76,inverse(B))),multiply(X_78,multiply(X_76,B))) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
multiply(multiply(X_76,X_78),B) = multiply(X_78,multiply(X_76,B)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_76,X_78),B),multiply(X_78,divide(X_76,inverse(B)))) )],[refute_0_468,refute_0_475]) ).
cnf(refute_0_477,plain,
multiply(multiply(X_84,B),X_82) = multiply(B,multiply(X_84,X_82)),
inference(subst,[],[refute_0_476:[bind(B,$fot(X_82)),bind(X_76,$fot(X_84)),bind(X_78,$fot(B))]]) ).
cnf(refute_0_478,plain,
( multiply(multiply(X_84,B),X_82) != multiply(B,multiply(X_84,X_82))
| multiply(multiply(X_84,B),X_82) != multiply(X_84,divide(X_82,inverse(B)))
| multiply(B,multiply(X_84,X_82)) = multiply(X_84,divide(X_82,inverse(B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_84,B),X_82),multiply(X_84,divide(X_82,inverse(B)))) ),[0],$fot(multiply(B,multiply(X_84,X_82)))]]) ).
cnf(refute_0_479,plain,
( multiply(multiply(X_84,B),X_82) != multiply(X_84,divide(X_82,inverse(B)))
| multiply(B,multiply(X_84,X_82)) = multiply(X_84,divide(X_82,inverse(B))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_84,B),X_82),multiply(B,multiply(X_84,X_82))) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
divide(X_82,inverse(B)) = multiply(X_82,B),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_82))]]) ).
cnf(refute_0_481,plain,
multiply(X_84,divide(X_82,inverse(B))) = multiply(X_84,divide(X_82,inverse(B))),
introduced(tautology,[refl,[$fot(multiply(X_84,divide(X_82,inverse(B))))]]) ).
cnf(refute_0_482,plain,
( multiply(X_84,divide(X_82,inverse(B))) != multiply(X_84,divide(X_82,inverse(B)))
| divide(X_82,inverse(B)) != multiply(X_82,B)
| multiply(X_84,divide(X_82,inverse(B))) = multiply(X_84,multiply(X_82,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_84,divide(X_82,inverse(B))),multiply(X_84,divide(X_82,inverse(B)))) ),[1,1],$fot(multiply(X_82,B))]]) ).
cnf(refute_0_483,plain,
( divide(X_82,inverse(B)) != multiply(X_82,B)
| multiply(X_84,divide(X_82,inverse(B))) = multiply(X_84,multiply(X_82,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_84,divide(X_82,inverse(B))),multiply(X_84,divide(X_82,inverse(B)))) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
multiply(X_84,divide(X_82,inverse(B))) = multiply(X_84,multiply(X_82,B)),
inference(resolve,[$cnf( $equal(divide(X_82,inverse(B)),multiply(X_82,B)) )],[refute_0_480,refute_0_483]) ).
cnf(refute_0_485,plain,
( multiply(B,multiply(X_84,X_82)) != multiply(X_84,divide(X_82,inverse(B)))
| multiply(X_84,divide(X_82,inverse(B))) != multiply(X_84,multiply(X_82,B))
| multiply(B,multiply(X_84,X_82)) = multiply(X_84,multiply(X_82,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(B,multiply(X_84,X_82)),multiply(X_84,multiply(X_82,B))) ),[0],$fot(multiply(X_84,divide(X_82,inverse(B))))]]) ).
cnf(refute_0_486,plain,
( multiply(B,multiply(X_84,X_82)) != multiply(X_84,divide(X_82,inverse(B)))
| multiply(B,multiply(X_84,X_82)) = multiply(X_84,multiply(X_82,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_84,divide(X_82,inverse(B))),multiply(X_84,multiply(X_82,B))) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
( multiply(multiply(X_84,B),X_82) != multiply(X_84,divide(X_82,inverse(B)))
| multiply(B,multiply(X_84,X_82)) = multiply(X_84,multiply(X_82,B)) ),
inference(resolve,[$cnf( $equal(multiply(B,multiply(X_84,X_82)),multiply(X_84,divide(X_82,inverse(B)))) )],[refute_0_479,refute_0_486]) ).
cnf(refute_0_488,plain,
multiply(B,multiply(X_84,X_82)) = multiply(X_84,multiply(X_82,B)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_84,B),X_82),multiply(X_84,divide(X_82,inverse(B)))) )],[refute_0_463,refute_0_487]) ).
cnf(refute_0_489,plain,
( multiply(B,multiply(X_84,X_82)) != multiply(X_84,multiply(X_82,B))
| multiply(X_84,multiply(X_82,B)) = multiply(B,multiply(X_84,X_82)) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(multiply(B,multiply(X_84,X_82)))),bind(Y,$fot(multiply(X_84,multiply(X_82,B))))]]) ).
cnf(refute_0_490,plain,
multiply(X_84,multiply(X_82,B)) = multiply(B,multiply(X_84,X_82)),
inference(resolve,[$cnf( $equal(multiply(B,multiply(X_84,X_82)),multiply(X_84,multiply(X_82,B))) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
multiply(b3,multiply(c3,a3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_490:[bind(B,$fot(a3)),bind(X_82,$fot(c3)),bind(X_84,$fot(b3))]]) ).
cnf(refute_0_492,plain,
multiply(c3,multiply(a3,b3)) = multiply(b3,multiply(c3,a3)),
inference(subst,[],[refute_0_490:[bind(B,$fot(b3)),bind(X_82,$fot(a3)),bind(X_84,$fot(c3))]]) ).
cnf(refute_0_493,plain,
( multiply(b3,multiply(c3,a3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(b3,multiply(c3,a3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(subst,[],[refute_0_46:[bind(X,$fot(multiply(c3,multiply(a3,b3)))),bind(Y,$fot(multiply(b3,multiply(c3,a3)))),bind(Z,$fot(multiply(a3,multiply(b3,c3))))]]) ).
cnf(refute_0_494,plain,
( multiply(b3,multiply(c3,a3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(b3,multiply(c3,a3))) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(b3,multiply(c3,a3)),multiply(a3,multiply(b3,c3))) )],[refute_0_491,refute_0_494]) ).
cnf(refute_0_496,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_497,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_497,refute_0_86]) ).
cnf(refute_0_499,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_500,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_499,refute_0_498]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP535-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 00:31:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53
% 0.19/0.53 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.40/0.59
%------------------------------------------------------------------------------