TSTP Solution File: GRP614-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP614-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 10:44:09 EDT 2022
% Result : Unsatisfiable 1.40s 1.63s
% Output : CNFRefutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 96
% Syntax : Number of clauses : 306 ( 158 unt; 0 nHn; 141 RR)
% Number of literals : 527 ( 526 equ; 224 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 879 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = B ).
cnf(multiply,axiom,
multiply(A,B) = inverse(double_divide(B,A)) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2 ).
cnf(refute_0_0,plain,
multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))) = inverse(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))),
inference(subst,[],[multiply:[bind(A,$fot(double_divide(X_2,X_4))),bind(B,$fot(multiply(X_4,multiply(inverse(X_3),X_2))))]]) ).
cnf(refute_0_1,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_2,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_3,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) = multiply(A,B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(inverse(double_divide(B,A))))]]) ).
cnf(refute_0_5,plain,
inverse(double_divide(B,A)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[multiply,refute_0_4]) ).
cnf(refute_0_6,plain,
inverse(double_divide(A,inverse(B))) = multiply(inverse(B),A),
inference(subst,[],[refute_0_5:[bind(A,$fot(inverse(B))),bind(B,$fot(A))]]) ).
cnf(refute_0_7,plain,
multiply(C,inverse(double_divide(A,inverse(B)))) = multiply(C,inverse(double_divide(A,inverse(B)))),
introduced(tautology,[refl,[$fot(multiply(C,inverse(double_divide(A,inverse(B)))))]]) ).
cnf(refute_0_8,plain,
( multiply(C,inverse(double_divide(A,inverse(B)))) != multiply(C,inverse(double_divide(A,inverse(B))))
| inverse(double_divide(A,inverse(B))) != multiply(inverse(B),A)
| multiply(C,inverse(double_divide(A,inverse(B)))) = multiply(C,multiply(inverse(B),A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(C,inverse(double_divide(A,inverse(B)))),multiply(C,inverse(double_divide(A,inverse(B))))) ),[1,1],$fot(multiply(inverse(B),A))]]) ).
cnf(refute_0_9,plain,
( inverse(double_divide(A,inverse(B))) != multiply(inverse(B),A)
| multiply(C,inverse(double_divide(A,inverse(B)))) = multiply(C,multiply(inverse(B),A)) ),
inference(resolve,[$cnf( $equal(multiply(C,inverse(double_divide(A,inverse(B)))),multiply(C,inverse(double_divide(A,inverse(B))))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
multiply(C,inverse(double_divide(A,inverse(B)))) = multiply(C,multiply(inverse(B),A)),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,inverse(B))),multiply(inverse(B),A)) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) = multiply(C,inverse(double_divide(A,inverse(B)))),
inference(subst,[],[refute_0_5:[bind(A,$fot(C)),bind(B,$fot(inverse(double_divide(A,inverse(B)))))]]) ).
cnf(refute_0_12,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_13,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_3,refute_0_12]) ).
cnf(refute_0_14,plain,
( multiply(C,inverse(double_divide(A,inverse(B)))) != multiply(C,multiply(inverse(B),A))
| inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) != multiply(C,inverse(double_divide(A,inverse(B))))
| inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) = multiply(C,multiply(inverse(B),A)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)))),bind(Y,$fot(multiply(C,inverse(double_divide(A,inverse(B)))))),bind(Z,$fot(multiply(C,multiply(inverse(B),A))))]]) ).
cnf(refute_0_15,plain,
( multiply(C,inverse(double_divide(A,inverse(B)))) != multiply(C,multiply(inverse(B),A))
| inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) = multiply(C,multiply(inverse(B),A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),multiply(C,inverse(double_divide(A,inverse(B))))) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) = multiply(C,multiply(inverse(B),A)),
inference(resolve,[$cnf( $equal(multiply(C,inverse(double_divide(A,inverse(B)))),multiply(C,multiply(inverse(B),A))) )],[refute_0_10,refute_0_15]) ).
cnf(refute_0_17,plain,
double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)),
introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)))]]) ).
cnf(refute_0_18,plain,
( double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) != double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C))
| inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) != multiply(C,multiply(inverse(B),A))
| double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)),double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C))) ),[1,0],$fot(multiply(C,multiply(inverse(B),A)))]]) ).
cnf(refute_0_19,plain,
( inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) != multiply(C,multiply(inverse(B),A))
| double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)),double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),multiply(C,multiply(inverse(B),A))) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
( double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) != B
| double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) != double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C))
| double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)),B) ),[0],$fot(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)))]]) ).
cnf(refute_0_22,plain,
( double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) != B
| double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)) = B ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)),double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)) = B,
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)),B) )],[single_axiom,refute_0_22]) ).
cnf(refute_0_24,plain,
double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)) = X_3,
inference(subst,[],[refute_0_23:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_25,plain,
( multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))) != inverse(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)))
| double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)) != X_3
| multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))) = inverse(X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))),inverse(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)))) ),[1,0],$fot(X_3)]]) ).
cnf(refute_0_26,plain,
( multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))) != inverse(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)))
| multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))) = inverse(X_3) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)),X_3) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))),inverse(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)))) )],[refute_0_0,refute_0_26]) ).
cnf(refute_0_28,plain,
multiply(double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(X_3))),multiply(double_divide(X_5,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_6),X_5)))) = inverse(X_3),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(multiply(inverse(X_6),X_5))),bind(X_4,$fot(double_divide(X_5,inverse(X_3))))]]) ).
cnf(refute_0_29,plain,
multiply(double_divide(X_5,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_6),X_5))) = inverse(X_6),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(X_5)),bind(X_3,$fot(X_6)),bind(X_4,$fot(inverse(X_3)))]]) ).
cnf(refute_0_30,plain,
( multiply(double_divide(X_5,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_6),X_5))) != inverse(X_6)
| multiply(double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(X_3))),multiply(double_divide(X_5,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_6),X_5)))) != inverse(X_3)
| multiply(double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(X_3))),inverse(X_6)) = inverse(X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(X_3))),multiply(double_divide(X_5,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_6),X_5)))),inverse(X_3)) ),[0,1],$fot(inverse(X_6))]]) ).
cnf(refute_0_31,plain,
( multiply(double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(X_3))),multiply(double_divide(X_5,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_6),X_5)))) != inverse(X_3)
| multiply(double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(X_3))),inverse(X_6)) = inverse(X_3) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_5,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_6),X_5))),inverse(X_6)) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
multiply(double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(X_3))),inverse(X_6)) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(X_3))),multiply(double_divide(X_5,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_6),X_5)))),inverse(X_3)) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
multiply(double_divide(multiply(inverse(X_14),X_13),double_divide(X_13,inverse(double_divide(B,A)))),inverse(X_14)) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_32:[bind(X_3,$fot(double_divide(B,A))),bind(X_5,$fot(X_13)),bind(X_6,$fot(X_14))]]) ).
cnf(refute_0_34,plain,
( multiply(double_divide(multiply(inverse(X_14),X_13),double_divide(X_13,inverse(double_divide(B,A)))),inverse(X_14)) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(double_divide(multiply(inverse(X_14),X_13),double_divide(X_13,multiply(A,B))),inverse(X_14)) = inverse(double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_14),X_13),double_divide(X_13,inverse(double_divide(B,A)))),inverse(X_14)),inverse(double_divide(B,A))) ),[0,0,1,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_35,plain,
( multiply(double_divide(multiply(inverse(X_14),X_13),double_divide(X_13,inverse(double_divide(B,A)))),inverse(X_14)) != inverse(double_divide(B,A))
| multiply(double_divide(multiply(inverse(X_14),X_13),double_divide(X_13,multiply(A,B))),inverse(X_14)) = inverse(double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_34]) ).
cnf(refute_0_36,plain,
multiply(double_divide(multiply(inverse(X_14),X_13),double_divide(X_13,multiply(A,B))),inverse(X_14)) = inverse(double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_14),X_13),double_divide(X_13,inverse(double_divide(B,A)))),inverse(X_14)),inverse(double_divide(B,A))) )],[refute_0_33,refute_0_35]) ).
cnf(refute_0_37,plain,
( multiply(double_divide(multiply(inverse(X_14),X_13),double_divide(X_13,multiply(A,B))),inverse(X_14)) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(double_divide(multiply(inverse(X_14),X_13),double_divide(X_13,multiply(A,B))),inverse(X_14)) = multiply(A,B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(multiply(inverse(X_14),X_13),double_divide(X_13,multiply(A,B))),inverse(X_14)),multiply(A,B)) ),[0],$fot(inverse(double_divide(B,A)))]]) ).
cnf(refute_0_38,plain,
( multiply(double_divide(multiply(inverse(X_14),X_13),double_divide(X_13,multiply(A,B))),inverse(X_14)) != inverse(double_divide(B,A))
| multiply(double_divide(multiply(inverse(X_14),X_13),double_divide(X_13,multiply(A,B))),inverse(X_14)) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_37]) ).
cnf(refute_0_39,plain,
multiply(double_divide(multiply(inverse(X_14),X_13),double_divide(X_13,multiply(A,B))),inverse(X_14)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_14),X_13),double_divide(X_13,multiply(A,B))),inverse(X_14)),inverse(double_divide(B,A))) )],[refute_0_36,refute_0_38]) ).
cnf(refute_0_40,plain,
multiply(double_divide(multiply(inverse(X_14),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(inverse(X_14),inverse(inverse(X_191))))),inverse(X_14)) = multiply(inverse(X_14),inverse(inverse(X_191))),
inference(subst,[],[refute_0_39:[bind(A,$fot(inverse(X_14))),bind(B,$fot(inverse(inverse(X_191)))),bind(X_13,$fot(inverse(inverse(X_191))))]]) ).
cnf(refute_0_41,plain,
double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))) = B,
inference(subst,[],[refute_0_23:[bind(A,$fot(multiply(X_4,multiply(inverse(X_3),X_2)))),bind(C,$fot(double_divide(X_2,X_4)))]]) ).
cnf(refute_0_42,plain,
( double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)) != X_3
| double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))) != B
| double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),X_3) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))),B) ),[0,1],$fot(X_3)]]) ).
cnf(refute_0_43,plain,
( double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))) != B
| double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),X_3) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)),X_3) )],[refute_0_24,refute_0_42]) ).
cnf(refute_0_44,plain,
double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),X_3) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))),B) )],[refute_0_41,refute_0_43]) ).
cnf(refute_0_45,plain,
double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),multiply(inverse(B),multiply(double_divide(X_75,X_77),multiply(inverse(X_3),multiply(X_77,multiply(inverse(inverse(B)),X_75)))))),X_3) = B,
inference(subst,[],[refute_0_44:[bind(X_2,$fot(multiply(X_77,multiply(inverse(inverse(B)),X_75)))),bind(X_4,$fot(double_divide(X_75,X_77)))]]) ).
cnf(refute_0_46,plain,
multiply(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))) = inverse(X_6),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(multiply(C,multiply(inverse(B),A)))),bind(X_3,$fot(X_6)),bind(X_4,$fot(double_divide(A,C)))]]) ).
cnf(refute_0_47,plain,
( multiply(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))) != inverse(X_6)
| double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)) != B
| multiply(B,multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))) = inverse(X_6) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))),inverse(X_6)) ),[0,0],$fot(B)]]) ).
cnf(refute_0_48,plain,
( multiply(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))) != inverse(X_6)
| multiply(B,multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))) = inverse(X_6) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),B) )],[refute_0_23,refute_0_47]) ).
cnf(refute_0_49,plain,
multiply(B,multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))) = inverse(X_6),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))),inverse(X_6)) )],[refute_0_46,refute_0_48]) ).
cnf(refute_0_50,plain,
multiply(inverse(B),multiply(double_divide(X_75,X_77),multiply(inverse(X_3),multiply(X_77,multiply(inverse(inverse(B)),X_75))))) = inverse(X_3),
inference(subst,[],[refute_0_49:[bind(A,$fot(X_75)),bind(B,$fot(inverse(B))),bind(C,$fot(X_77)),bind(X_6,$fot(X_3))]]) ).
cnf(refute_0_51,plain,
( multiply(inverse(B),multiply(double_divide(X_75,X_77),multiply(inverse(X_3),multiply(X_77,multiply(inverse(inverse(B)),X_75))))) != inverse(X_3)
| double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),multiply(inverse(B),multiply(double_divide(X_75,X_77),multiply(inverse(X_3),multiply(X_77,multiply(inverse(inverse(B)),X_75)))))),X_3) != B
| double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),multiply(inverse(B),multiply(double_divide(X_75,X_77),multiply(inverse(X_3),multiply(X_77,multiply(inverse(inverse(B)),X_75)))))),X_3),B) ),[0,0,1],$fot(inverse(X_3))]]) ).
cnf(refute_0_52,plain,
( double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),multiply(inverse(B),multiply(double_divide(X_75,X_77),multiply(inverse(X_3),multiply(X_77,multiply(inverse(inverse(B)),X_75)))))),X_3) != B
| double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3) = B ),
inference(resolve,[$cnf( $equal(multiply(inverse(B),multiply(double_divide(X_75,X_77),multiply(inverse(X_3),multiply(X_77,multiply(inverse(inverse(B)),X_75))))),inverse(X_3)) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),multiply(inverse(B),multiply(double_divide(X_75,X_77),multiply(inverse(X_3),multiply(X_77,multiply(inverse(inverse(B)),X_75)))))),X_3),B) )],[refute_0_45,refute_0_52]) ).
cnf(refute_0_54,plain,
double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)) = inverse(B),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_75)),bind(B,$fot(inverse(B))),bind(C,$fot(X_77))]]) ).
cnf(refute_0_55,plain,
multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)) = multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),
introduced(tautology,[refl,[$fot(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)))]]) ).
cnf(refute_0_56,plain,
( multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)) != multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3))
| double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)) != inverse(B)
| multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)) = multiply(inverse(B),inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3))) ),[1,0],$fot(inverse(B))]]) ).
cnf(refute_0_57,plain,
( double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)) != inverse(B)
| multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)) = multiply(inverse(B),inverse(X_3)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)) = multiply(inverse(B),inverse(X_3)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(B)) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3) = double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3),
introduced(tautology,[refl,[$fot(double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3))]]) ).
cnf(refute_0_60,plain,
( multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)) != multiply(inverse(B),inverse(X_3))
| double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3) != double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3)
| double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3) = double_divide(multiply(inverse(B),inverse(X_3)),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3),double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3)) ),[1,0],$fot(multiply(inverse(B),inverse(X_3)))]]) ).
cnf(refute_0_61,plain,
( multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)) != multiply(inverse(B),inverse(X_3))
| double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3) = double_divide(multiply(inverse(B),inverse(X_3)),X_3) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3),double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3)) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3) = double_divide(multiply(inverse(B),inverse(X_3)),X_3),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),multiply(inverse(B),inverse(X_3))) )],[refute_0_58,refute_0_61]) ).
cnf(refute_0_63,plain,
( double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3) != B
| double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3) != double_divide(multiply(inverse(B),inverse(X_3)),X_3)
| double_divide(multiply(inverse(B),inverse(X_3)),X_3) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3),B) ),[0],$fot(double_divide(multiply(inverse(B),inverse(X_3)),X_3))]]) ).
cnf(refute_0_64,plain,
( double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3) != B
| double_divide(multiply(inverse(B),inverse(X_3)),X_3) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3),double_divide(multiply(inverse(B),inverse(X_3)),X_3)) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
double_divide(multiply(inverse(B),inverse(X_3)),X_3) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(B)),X_75)),double_divide(X_75,X_77)),inverse(X_3)),X_3),B) )],[refute_0_53,refute_0_64]) ).
cnf(refute_0_66,plain,
double_divide(multiply(inverse(X_79),inverse(double_divide(B,A))),double_divide(B,A)) = X_79,
inference(subst,[],[refute_0_65:[bind(B,$fot(X_79)),bind(X_3,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_67,plain,
( double_divide(multiply(inverse(X_79),inverse(double_divide(B,A))),double_divide(B,A)) != X_79
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(inverse(X_79),multiply(A,B)),double_divide(B,A)) = X_79 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_79),inverse(double_divide(B,A))),double_divide(B,A)),X_79) ),[0,0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_68,plain,
( double_divide(multiply(inverse(X_79),inverse(double_divide(B,A))),double_divide(B,A)) != X_79
| double_divide(multiply(inverse(X_79),multiply(A,B)),double_divide(B,A)) = X_79 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_67]) ).
cnf(refute_0_69,plain,
double_divide(multiply(inverse(X_79),multiply(A,B)),double_divide(B,A)) = X_79,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_79),inverse(double_divide(B,A))),double_divide(B,A)),X_79) )],[refute_0_66,refute_0_68]) ).
cnf(refute_0_70,plain,
double_divide(multiply(inverse(X_92),multiply(inverse(X_6),inverse(inverse(X_92)))),double_divide(inverse(inverse(X_92)),inverse(X_6))) = X_92,
inference(subst,[],[refute_0_69:[bind(A,$fot(inverse(X_6))),bind(B,$fot(inverse(inverse(X_92)))),bind(X_79,$fot(X_92))]]) ).
cnf(refute_0_71,plain,
multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),multiply(inverse(X_6),multiply(double_divide(X_75,X_77),multiply(inverse(B),multiply(X_77,multiply(inverse(inverse(X_6)),X_75))))))) = inverse(X_6),
inference(subst,[],[refute_0_49:[bind(A,$fot(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)))),bind(C,$fot(double_divide(X_75,X_77)))]]) ).
cnf(refute_0_72,plain,
multiply(inverse(X_6),multiply(double_divide(X_75,X_77),multiply(inverse(B),multiply(X_77,multiply(inverse(inverse(X_6)),X_75))))) = inverse(B),
inference(subst,[],[refute_0_49:[bind(A,$fot(X_75)),bind(B,$fot(inverse(X_6))),bind(C,$fot(X_77)),bind(X_6,$fot(B))]]) ).
cnf(refute_0_73,plain,
( multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),multiply(inverse(X_6),multiply(double_divide(X_75,X_77),multiply(inverse(B),multiply(X_77,multiply(inverse(inverse(X_6)),X_75))))))) != inverse(X_6)
| multiply(inverse(X_6),multiply(double_divide(X_75,X_77),multiply(inverse(B),multiply(X_77,multiply(inverse(inverse(X_6)),X_75))))) != inverse(B)
| multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))) = inverse(X_6) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),multiply(inverse(X_6),multiply(double_divide(X_75,X_77),multiply(inverse(B),multiply(X_77,multiply(inverse(inverse(X_6)),X_75))))))),inverse(X_6)) ),[0,1,1],$fot(inverse(B))]]) ).
cnf(refute_0_74,plain,
( multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),multiply(inverse(X_6),multiply(double_divide(X_75,X_77),multiply(inverse(B),multiply(X_77,multiply(inverse(inverse(X_6)),X_75))))))) != inverse(X_6)
| multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))) = inverse(X_6) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_6),multiply(double_divide(X_75,X_77),multiply(inverse(B),multiply(X_77,multiply(inverse(inverse(X_6)),X_75))))),inverse(B)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))) = inverse(X_6),
inference(resolve,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),multiply(inverse(X_6),multiply(double_divide(X_75,X_77),multiply(inverse(B),multiply(X_77,multiply(inverse(inverse(X_6)),X_75))))))),inverse(X_6)) )],[refute_0_71,refute_0_74]) ).
cnf(refute_0_76,plain,
double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)) = inverse(X_6),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_75)),bind(B,$fot(inverse(X_6))),bind(C,$fot(X_77))]]) ).
cnf(refute_0_77,plain,
multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B)) = multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B)),
introduced(tautology,[refl,[$fot(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B)))]]) ).
cnf(refute_0_78,plain,
( multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B)) != multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))
| double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)) != inverse(X_6)
| multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B)) = multiply(inverse(X_6),inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B)),multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))) ),[1,0],$fot(inverse(X_6))]]) ).
cnf(refute_0_79,plain,
( double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)) != inverse(X_6)
| multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B)) = multiply(inverse(X_6),inverse(B)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B)),multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B)) = multiply(inverse(X_6),inverse(B)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(X_6)) )],[refute_0_76,refute_0_79]) ).
cnf(refute_0_81,plain,
multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))) = multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))),
introduced(tautology,[refl,[$fot(multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))))]]) ).
cnf(refute_0_82,plain,
( multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))) != multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B)))
| multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B)) != multiply(inverse(X_6),inverse(B))
| multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))) = multiply(B,multiply(inverse(X_6),inverse(B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))),multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B)))) ),[1,1],$fot(multiply(inverse(X_6),inverse(B)))]]) ).
cnf(refute_0_83,plain,
( multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B)) != multiply(inverse(X_6),inverse(B))
| multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))) = multiply(B,multiply(inverse(X_6),inverse(B))) ),
inference(resolve,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))),multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B)))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))) = multiply(B,multiply(inverse(X_6),inverse(B))),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B)),multiply(inverse(X_6),inverse(B))) )],[refute_0_80,refute_0_83]) ).
cnf(refute_0_85,plain,
( multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))) != multiply(B,multiply(inverse(X_6),inverse(B)))
| multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))) != inverse(X_6)
| multiply(B,multiply(inverse(X_6),inverse(B))) = inverse(X_6) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))),inverse(X_6)) ),[0],$fot(multiply(B,multiply(inverse(X_6),inverse(B))))]]) ).
cnf(refute_0_86,plain,
( multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))) != inverse(X_6)
| multiply(B,multiply(inverse(X_6),inverse(B))) = inverse(X_6) ),
inference(resolve,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))),multiply(B,multiply(inverse(X_6),inverse(B)))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
multiply(B,multiply(inverse(X_6),inverse(B))) = inverse(X_6),
inference(resolve,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_77,multiply(inverse(inverse(X_6)),X_75)),double_divide(X_75,X_77)),inverse(B))),inverse(X_6)) )],[refute_0_75,refute_0_86]) ).
cnf(refute_0_88,plain,
multiply(inverse(X_92),multiply(inverse(X_6),inverse(inverse(X_92)))) = inverse(X_6),
inference(subst,[],[refute_0_87:[bind(B,$fot(inverse(X_92)))]]) ).
cnf(refute_0_89,plain,
( multiply(inverse(X_92),multiply(inverse(X_6),inverse(inverse(X_92)))) != inverse(X_6)
| double_divide(multiply(inverse(X_92),multiply(inverse(X_6),inverse(inverse(X_92)))),double_divide(inverse(inverse(X_92)),inverse(X_6))) != X_92
| double_divide(inverse(X_6),double_divide(inverse(inverse(X_92)),inverse(X_6))) = X_92 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_92),multiply(inverse(X_6),inverse(inverse(X_92)))),double_divide(inverse(inverse(X_92)),inverse(X_6))),X_92) ),[0,0],$fot(inverse(X_6))]]) ).
cnf(refute_0_90,plain,
( double_divide(multiply(inverse(X_92),multiply(inverse(X_6),inverse(inverse(X_92)))),double_divide(inverse(inverse(X_92)),inverse(X_6))) != X_92
| double_divide(inverse(X_6),double_divide(inverse(inverse(X_92)),inverse(X_6))) = X_92 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_92),multiply(inverse(X_6),inverse(inverse(X_92)))),inverse(X_6)) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
double_divide(inverse(X_6),double_divide(inverse(inverse(X_92)),inverse(X_6))) = X_92,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_92),multiply(inverse(X_6),inverse(inverse(X_92)))),double_divide(inverse(inverse(X_92)),inverse(X_6))),X_92) )],[refute_0_70,refute_0_90]) ).
cnf(refute_0_92,plain,
double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),inverse(double_divide(B,A)))) = X_94,
inference(subst,[],[refute_0_91:[bind(X_6,$fot(double_divide(B,A))),bind(X_92,$fot(X_94))]]) ).
cnf(refute_0_93,plain,
( double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),inverse(double_divide(B,A)))) != X_94
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B))) = X_94 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),inverse(double_divide(B,A)))),X_94) ),[0,1,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_94,plain,
( double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),inverse(double_divide(B,A)))) != X_94
| double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B))) = X_94 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_93]) ).
cnf(refute_0_95,plain,
double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B))) = X_94,
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),inverse(double_divide(B,A)))),X_94) )],[refute_0_92,refute_0_94]) ).
cnf(refute_0_96,plain,
double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B))) = double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B))),
introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B))))]]) ).
cnf(refute_0_97,plain,
( double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B))) != double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B)))
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B))) = double_divide(multiply(A,B),double_divide(inverse(inverse(X_94)),multiply(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B))),double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B)))) ),[1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_98,plain,
( inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B))) = double_divide(multiply(A,B),double_divide(inverse(inverse(X_94)),multiply(A,B))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B))),double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B)))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B))) = double_divide(multiply(A,B),double_divide(inverse(inverse(X_94)),multiply(A,B))),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_98]) ).
cnf(refute_0_100,plain,
( double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B))) != X_94
| double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B))) != double_divide(multiply(A,B),double_divide(inverse(inverse(X_94)),multiply(A,B)))
| double_divide(multiply(A,B),double_divide(inverse(inverse(X_94)),multiply(A,B))) = X_94 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B))),X_94) ),[0],$fot(double_divide(multiply(A,B),double_divide(inverse(inverse(X_94)),multiply(A,B))))]]) ).
cnf(refute_0_101,plain,
( double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B))) != X_94
| double_divide(multiply(A,B),double_divide(inverse(inverse(X_94)),multiply(A,B))) = X_94 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B))),double_divide(multiply(A,B),double_divide(inverse(inverse(X_94)),multiply(A,B)))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
double_divide(multiply(A,B),double_divide(inverse(inverse(X_94)),multiply(A,B))) = X_94,
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(inverse(inverse(X_94)),multiply(A,B))),X_94) )],[refute_0_95,refute_0_101]) ).
cnf(refute_0_103,plain,
double_divide(multiply(inverse(X_14),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(inverse(X_14),inverse(inverse(X_191))))) = X_191,
inference(subst,[],[refute_0_102:[bind(A,$fot(inverse(X_14))),bind(B,$fot(inverse(inverse(X_191)))),bind(X_94,$fot(X_191))]]) ).
cnf(refute_0_104,plain,
( multiply(double_divide(multiply(inverse(X_14),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(inverse(X_14),inverse(inverse(X_191))))),inverse(X_14)) != multiply(inverse(X_14),inverse(inverse(X_191)))
| double_divide(multiply(inverse(X_14),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(inverse(X_14),inverse(inverse(X_191))))) != X_191
| multiply(X_191,inverse(X_14)) = multiply(inverse(X_14),inverse(inverse(X_191))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_14),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(inverse(X_14),inverse(inverse(X_191))))),inverse(X_14)),multiply(inverse(X_14),inverse(inverse(X_191)))) ),[0,0],$fot(X_191)]]) ).
cnf(refute_0_105,plain,
( multiply(double_divide(multiply(inverse(X_14),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(inverse(X_14),inverse(inverse(X_191))))),inverse(X_14)) != multiply(inverse(X_14),inverse(inverse(X_191)))
| multiply(X_191,inverse(X_14)) = multiply(inverse(X_14),inverse(inverse(X_191))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_14),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(inverse(X_14),inverse(inverse(X_191))))),X_191) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
multiply(X_191,inverse(X_14)) = multiply(inverse(X_14),inverse(inverse(X_191))),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_14),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(inverse(X_14),inverse(inverse(X_191))))),inverse(X_14)),multiply(inverse(X_14),inverse(inverse(X_191)))) )],[refute_0_40,refute_0_105]) ).
cnf(refute_0_107,plain,
double_divide(multiply(inverse(X_79),multiply(A,multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))))),double_divide(multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))),A)) = X_79,
inference(subst,[],[refute_0_69:[bind(B,$fot(multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A)))))]]) ).
cnf(refute_0_108,plain,
multiply(double_divide(multiply(inverse(X_79),inverse(X_4)),X_4),multiply(X_4,multiply(inverse(X_3),multiply(inverse(X_79),inverse(X_4))))) = inverse(X_3),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(multiply(inverse(X_79),inverse(X_4))))]]) ).
cnf(refute_0_109,plain,
double_divide(multiply(inverse(X_79),inverse(X_4)),X_4) = X_79,
inference(subst,[],[refute_0_65:[bind(B,$fot(X_79)),bind(X_3,$fot(X_4))]]) ).
cnf(refute_0_110,plain,
( multiply(double_divide(multiply(inverse(X_79),inverse(X_4)),X_4),multiply(X_4,multiply(inverse(X_3),multiply(inverse(X_79),inverse(X_4))))) != inverse(X_3)
| double_divide(multiply(inverse(X_79),inverse(X_4)),X_4) != X_79
| multiply(X_79,multiply(X_4,multiply(inverse(X_3),multiply(inverse(X_79),inverse(X_4))))) = inverse(X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_79),inverse(X_4)),X_4),multiply(X_4,multiply(inverse(X_3),multiply(inverse(X_79),inverse(X_4))))),inverse(X_3)) ),[0,0],$fot(X_79)]]) ).
cnf(refute_0_111,plain,
( multiply(double_divide(multiply(inverse(X_79),inverse(X_4)),X_4),multiply(X_4,multiply(inverse(X_3),multiply(inverse(X_79),inverse(X_4))))) != inverse(X_3)
| multiply(X_79,multiply(X_4,multiply(inverse(X_3),multiply(inverse(X_79),inverse(X_4))))) = inverse(X_3) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_79),inverse(X_4)),X_4),X_79) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
multiply(X_79,multiply(X_4,multiply(inverse(X_3),multiply(inverse(X_79),inverse(X_4))))) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_79),inverse(X_4)),X_4),multiply(X_4,multiply(inverse(X_3),multiply(inverse(X_79),inverse(X_4))))),inverse(X_3)) )],[refute_0_108,refute_0_111]) ).
cnf(refute_0_113,plain,
multiply(inverse(X_79),multiply(A,multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))))) = inverse(X_161),
inference(subst,[],[refute_0_112:[bind(X_3,$fot(X_161)),bind(X_4,$fot(A)),bind(X_79,$fot(inverse(X_79)))]]) ).
cnf(refute_0_114,plain,
( multiply(inverse(X_79),multiply(A,multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))))) != inverse(X_161)
| double_divide(multiply(inverse(X_79),multiply(A,multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))))),double_divide(multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))),A)) != X_79
| double_divide(inverse(X_161),double_divide(multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))),A)) = X_79 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_79),multiply(A,multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))))),double_divide(multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))),A)),X_79) ),[0,0],$fot(inverse(X_161))]]) ).
cnf(refute_0_115,plain,
( double_divide(multiply(inverse(X_79),multiply(A,multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))))),double_divide(multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))),A)) != X_79
| double_divide(inverse(X_161),double_divide(multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))),A)) = X_79 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_79),multiply(A,multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))))),inverse(X_161)) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
double_divide(inverse(X_161),double_divide(multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))),A)) = X_79,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_79),multiply(A,multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))))),double_divide(multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))),A)),X_79) )],[refute_0_107,refute_0_115]) ).
cnf(refute_0_117,plain,
double_divide(multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))) = B,
inference(subst,[],[refute_0_23:[bind(A,$fot(multiply(inverse(X_6),X_5))),bind(C,$fot(double_divide(X_5,inverse(B))))]]) ).
cnf(refute_0_118,plain,
multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))) = inverse(X_6),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(X_5)),bind(X_3,$fot(X_6)),bind(X_4,$fot(inverse(B)))]]) ).
cnf(refute_0_119,plain,
( multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))) != inverse(X_6)
| double_divide(multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))) != B
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))),B) ),[0,0],$fot(inverse(X_6))]]) ).
cnf(refute_0_120,plain,
( double_divide(multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))) != B
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))) = B ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))),inverse(X_6)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))),B) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),double_divide(multiply(inverse(X_79),inverse(inverse(B))),inverse(B)))) = B,
inference(subst,[],[refute_0_121:[bind(X_5,$fot(multiply(inverse(X_79),inverse(inverse(B)))))]]) ).
cnf(refute_0_123,plain,
double_divide(multiply(inverse(X_79),inverse(inverse(B))),inverse(B)) = X_79,
inference(subst,[],[refute_0_65:[bind(B,$fot(X_79)),bind(X_3,$fot(inverse(B)))]]) ).
cnf(refute_0_124,plain,
( double_divide(multiply(inverse(X_79),inverse(inverse(B))),inverse(B)) != X_79
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),double_divide(multiply(inverse(X_79),inverse(inverse(B))),inverse(B)))) != B
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),double_divide(multiply(inverse(X_79),inverse(inverse(B))),inverse(B)))),B) ),[0,1,1],$fot(X_79)]]) ).
cnf(refute_0_125,plain,
( double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),double_divide(multiply(inverse(X_79),inverse(inverse(B))),inverse(B)))) != B
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_79),inverse(inverse(B))),inverse(B)),X_79) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)) = B,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),double_divide(multiply(inverse(X_79),inverse(inverse(B))),inverse(B)))),B) )],[refute_0_122,refute_0_125]) ).
cnf(refute_0_127,plain,
( multiply(X_191,inverse(X_14)) != multiply(inverse(X_14),inverse(inverse(X_191)))
| multiply(inverse(X_14),inverse(inverse(X_191))) = multiply(X_191,inverse(X_14)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_191,inverse(X_14)))),bind(Y,$fot(multiply(inverse(X_14),inverse(inverse(X_191)))))]]) ).
cnf(refute_0_128,plain,
multiply(inverse(X_14),inverse(inverse(X_191))) = multiply(X_191,inverse(X_14)),
inference(resolve,[$cnf( $equal(multiply(X_191,inverse(X_14)),multiply(inverse(X_14),inverse(inverse(X_191)))) )],[refute_0_106,refute_0_127]) ).
cnf(refute_0_129,plain,
multiply(inverse(X_79),inverse(inverse(B))) = multiply(B,inverse(X_79)),
inference(subst,[],[refute_0_128:[bind(X_14,$fot(X_79)),bind(X_191,$fot(B))]]) ).
cnf(refute_0_130,plain,
multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))) = multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))))]]) ).
cnf(refute_0_131,plain,
( multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))) != multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B))))
| multiply(inverse(X_79),inverse(inverse(B))) != multiply(B,inverse(X_79))
| multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))) = multiply(inverse(X_6),multiply(B,inverse(X_79))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B))))) ),[1,1],$fot(multiply(B,inverse(X_79)))]]) ).
cnf(refute_0_132,plain,
( multiply(inverse(X_79),inverse(inverse(B))) != multiply(B,inverse(X_79))
| multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))) = multiply(inverse(X_6),multiply(B,inverse(X_79))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B))))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))) = multiply(inverse(X_6),multiply(B,inverse(X_79))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_79),inverse(inverse(B))),multiply(B,inverse(X_79))) )],[refute_0_129,refute_0_132]) ).
cnf(refute_0_134,plain,
double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79) = double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79),
introduced(tautology,[refl,[$fot(double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79))]]) ).
cnf(refute_0_135,plain,
( multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))) != multiply(inverse(X_6),multiply(B,inverse(X_79)))
| double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79) != double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)
| double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79) = double_divide(multiply(inverse(X_6),multiply(B,inverse(X_79))),X_79) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)) ),[1,0],$fot(multiply(inverse(X_6),multiply(B,inverse(X_79))))]]) ).
cnf(refute_0_136,plain,
( multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))) != multiply(inverse(X_6),multiply(B,inverse(X_79)))
| double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79) = double_divide(multiply(inverse(X_6),multiply(B,inverse(X_79))),X_79) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79) = double_divide(multiply(inverse(X_6),multiply(B,inverse(X_79))),X_79),
inference(resolve,[$cnf( $equal(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),multiply(inverse(X_6),multiply(B,inverse(X_79)))) )],[refute_0_133,refute_0_136]) ).
cnf(refute_0_138,plain,
double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)) = double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)))]]) ).
cnf(refute_0_139,plain,
( double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79) != double_divide(multiply(inverse(X_6),multiply(B,inverse(X_79))),X_79)
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)) != double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79))
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)) = double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(B,inverse(X_79))),X_79)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79))) ),[1,1],$fot(double_divide(multiply(inverse(X_6),multiply(B,inverse(X_79))),X_79))]]) ).
cnf(refute_0_140,plain,
( double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79) != double_divide(multiply(inverse(X_6),multiply(B,inverse(X_79))),X_79)
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)) = double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(B,inverse(X_79))),X_79)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)) = double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(B,inverse(X_79))),X_79)),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79),double_divide(multiply(inverse(X_6),multiply(B,inverse(X_79))),X_79)) )],[refute_0_137,refute_0_140]) ).
cnf(refute_0_142,plain,
( double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)) != B
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)) != double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(B,inverse(X_79))),X_79))
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(B,inverse(X_79))),X_79)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)),B) ),[0],$fot(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(B,inverse(X_79))),X_79)))]]) ).
cnf(refute_0_143,plain,
( double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)) != B
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(B,inverse(X_79))),X_79)) = B ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(B,inverse(X_79))),X_79))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(B,inverse(X_79))),X_79)) = B,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(inverse(X_79),inverse(inverse(B)))),X_79)),B) )],[refute_0_126,refute_0_143]) ).
cnf(refute_0_145,plain,
double_divide(inverse(X_161),double_divide(multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))),A)) = inverse(inverse(X_79)),
inference(subst,[],[refute_0_144:[bind(B,$fot(inverse(inverse(X_79)))),bind(X_6,$fot(X_161)),bind(X_79,$fot(A))]]) ).
cnf(refute_0_146,plain,
( double_divide(inverse(X_161),double_divide(multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))),A)) != X_79
| double_divide(inverse(X_161),double_divide(multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))),A)) != inverse(inverse(X_79))
| inverse(inverse(X_79)) = X_79 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_161),double_divide(multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))),A)),X_79) ),[0],$fot(inverse(inverse(X_79)))]]) ).
cnf(refute_0_147,plain,
( double_divide(inverse(X_161),double_divide(multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))),A)) != X_79
| inverse(inverse(X_79)) = X_79 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_161),double_divide(multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))),A)),inverse(inverse(X_79))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
inverse(inverse(X_79)) = X_79,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_161),double_divide(multiply(inverse(X_161),multiply(inverse(inverse(X_79)),inverse(A))),A)),X_79) )],[refute_0_116,refute_0_147]) ).
cnf(refute_0_149,plain,
inverse(inverse(X_191)) = X_191,
inference(subst,[],[refute_0_148:[bind(X_79,$fot(X_191))]]) ).
cnf(refute_0_150,plain,
multiply(inverse(X_14),inverse(inverse(X_191))) = multiply(inverse(X_14),inverse(inverse(X_191))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_14),inverse(inverse(X_191))))]]) ).
cnf(refute_0_151,plain,
( multiply(inverse(X_14),inverse(inverse(X_191))) != multiply(inverse(X_14),inverse(inverse(X_191)))
| inverse(inverse(X_191)) != X_191
| multiply(inverse(X_14),inverse(inverse(X_191))) = multiply(inverse(X_14),X_191) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_14),inverse(inverse(X_191))),multiply(inverse(X_14),inverse(inverse(X_191)))) ),[1,1],$fot(X_191)]]) ).
cnf(refute_0_152,plain,
( inverse(inverse(X_191)) != X_191
| multiply(inverse(X_14),inverse(inverse(X_191))) = multiply(inverse(X_14),X_191) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_14),inverse(inverse(X_191))),multiply(inverse(X_14),inverse(inverse(X_191)))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
multiply(inverse(X_14),inverse(inverse(X_191))) = multiply(inverse(X_14),X_191),
inference(resolve,[$cnf( $equal(inverse(inverse(X_191)),X_191) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
( multiply(X_191,inverse(X_14)) != multiply(inverse(X_14),inverse(inverse(X_191)))
| multiply(inverse(X_14),inverse(inverse(X_191))) != multiply(inverse(X_14),X_191)
| multiply(X_191,inverse(X_14)) = multiply(inverse(X_14),X_191) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_191,inverse(X_14)),multiply(inverse(X_14),X_191)) ),[0],$fot(multiply(inverse(X_14),inverse(inverse(X_191))))]]) ).
cnf(refute_0_155,plain,
( multiply(X_191,inverse(X_14)) != multiply(inverse(X_14),inverse(inverse(X_191)))
| multiply(X_191,inverse(X_14)) = multiply(inverse(X_14),X_191) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_14),inverse(inverse(X_191))),multiply(inverse(X_14),X_191)) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
multiply(X_191,inverse(X_14)) = multiply(inverse(X_14),X_191),
inference(resolve,[$cnf( $equal(multiply(X_191,inverse(X_14)),multiply(inverse(X_14),inverse(inverse(X_191)))) )],[refute_0_106,refute_0_155]) ).
cnf(refute_0_157,plain,
( multiply(X_191,inverse(X_14)) != multiply(inverse(X_14),X_191)
| multiply(inverse(X_14),X_191) = multiply(X_191,inverse(X_14)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_191,inverse(X_14)))),bind(Y,$fot(multiply(inverse(X_14),X_191)))]]) ).
cnf(refute_0_158,plain,
multiply(inverse(X_14),X_191) = multiply(X_191,inverse(X_14)),
inference(resolve,[$cnf( $equal(multiply(X_191,inverse(X_14)),multiply(inverse(X_14),X_191)) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
multiply(inverse(b2),b2) = multiply(b2,inverse(b2)),
inference(subst,[],[refute_0_158:[bind(X_14,$fot(b2)),bind(X_191,$fot(b2))]]) ).
cnf(refute_0_160,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(multiply(inverse(b2),b2),a2),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(b2),b2),a2))]]) ).
cnf(refute_0_161,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(b2),b2) != multiply(b2,inverse(b2))
| multiply(multiply(inverse(b2),b2),a2) = multiply(multiply(b2,inverse(b2)),a2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(multiply(inverse(b2),b2),a2)) ),[1,0],$fot(multiply(b2,inverse(b2)))]]) ).
cnf(refute_0_162,plain,
( multiply(inverse(b2),b2) != multiply(b2,inverse(b2))
| multiply(multiply(inverse(b2),b2),a2) = multiply(multiply(b2,inverse(b2)),a2) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(multiply(inverse(b2),b2),a2)) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(multiply(b2,inverse(b2)),a2),
inference(resolve,[$cnf( $equal(multiply(inverse(b2),b2),multiply(b2,inverse(b2))) )],[refute_0_159,refute_0_162]) ).
cnf(refute_0_164,plain,
( multiply(multiply(b2,inverse(b2)),a2) != a2
| multiply(multiply(inverse(b2),b2),a2) != multiply(multiply(b2,inverse(b2)),a2)
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(multiply(b2,inverse(b2)),a2)) ),[1],$fot(a2)]]) ).
cnf(refute_0_165,plain,
( multiply(multiply(b2,inverse(b2)),a2) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(multiply(b2,inverse(b2)),a2)) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
multiply(multiply(b2,inverse(b2)),a2) != a2,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_165,prove_these_axioms_2]) ).
cnf(refute_0_167,plain,
double_divide(multiply(C,multiply(inverse(B),inverse(C))),double_divide(inverse(C),C)) = B,
inference(subst,[],[refute_0_23:[bind(A,$fot(inverse(C)))]]) ).
cnf(refute_0_168,plain,
multiply(C,multiply(inverse(B),inverse(C))) = inverse(B),
inference(subst,[],[refute_0_87:[bind(B,$fot(C)),bind(X_6,$fot(B))]]) ).
cnf(refute_0_169,plain,
( multiply(C,multiply(inverse(B),inverse(C))) != inverse(B)
| double_divide(multiply(C,multiply(inverse(B),inverse(C))),double_divide(inverse(C),C)) != B
| double_divide(inverse(B),double_divide(inverse(C),C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(C,multiply(inverse(B),inverse(C))),double_divide(inverse(C),C)),B) ),[0,0],$fot(inverse(B))]]) ).
cnf(refute_0_170,plain,
( double_divide(multiply(C,multiply(inverse(B),inverse(C))),double_divide(inverse(C),C)) != B
| double_divide(inverse(B),double_divide(inverse(C),C)) = B ),
inference(resolve,[$cnf( $equal(multiply(C,multiply(inverse(B),inverse(C))),inverse(B)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
double_divide(inverse(B),double_divide(inverse(C),C)) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(C,multiply(inverse(B),inverse(C))),double_divide(inverse(C),C)),B) )],[refute_0_167,refute_0_170]) ).
cnf(refute_0_172,plain,
double_divide(multiply(X_4,multiply(inverse(double_divide(B,A)),X_2)),double_divide(X_2,X_4)) = double_divide(B,A),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_2)),bind(B,$fot(double_divide(B,A))),bind(C,$fot(X_4))]]) ).
cnf(refute_0_173,plain,
( double_divide(multiply(X_4,multiply(inverse(double_divide(B,A)),X_2)),double_divide(X_2,X_4)) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(X_4,multiply(multiply(A,B),X_2)),double_divide(X_2,X_4)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_4,multiply(inverse(double_divide(B,A)),X_2)),double_divide(X_2,X_4)),double_divide(B,A)) ),[0,0,1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_174,plain,
( double_divide(multiply(X_4,multiply(inverse(double_divide(B,A)),X_2)),double_divide(X_2,X_4)) != double_divide(B,A)
| double_divide(multiply(X_4,multiply(multiply(A,B),X_2)),double_divide(X_2,X_4)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_173]) ).
cnf(refute_0_175,plain,
double_divide(multiply(X_4,multiply(multiply(A,B),X_2)),double_divide(X_2,X_4)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_4,multiply(inverse(double_divide(B,A)),X_2)),double_divide(X_2,X_4)),double_divide(B,A)) )],[refute_0_172,refute_0_174]) ).
cnf(refute_0_176,plain,
double_divide(multiply(double_divide(X_2,multiply(X_15,X_16)),multiply(multiply(X_15,X_16),multiply(inverse(X_3),X_2))),double_divide(multiply(inverse(X_3),X_2),double_divide(X_2,multiply(X_15,X_16)))) = double_divide(X_16,X_15),
inference(subst,[],[refute_0_175:[bind(A,$fot(X_15)),bind(B,$fot(X_16)),bind(X_2,$fot(multiply(inverse(X_3),X_2))),bind(X_4,$fot(double_divide(X_2,multiply(X_15,X_16))))]]) ).
cnf(refute_0_177,plain,
multiply(double_divide(X_2,multiply(X_15,X_16)),multiply(multiply(X_15,X_16),multiply(inverse(X_3),X_2))) = inverse(X_3),
inference(subst,[],[refute_0_27:[bind(X_4,$fot(multiply(X_15,X_16)))]]) ).
cnf(refute_0_178,plain,
( multiply(double_divide(X_2,multiply(X_15,X_16)),multiply(multiply(X_15,X_16),multiply(inverse(X_3),X_2))) != inverse(X_3)
| double_divide(multiply(double_divide(X_2,multiply(X_15,X_16)),multiply(multiply(X_15,X_16),multiply(inverse(X_3),X_2))),double_divide(multiply(inverse(X_3),X_2),double_divide(X_2,multiply(X_15,X_16)))) != double_divide(X_16,X_15)
| double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),X_2),double_divide(X_2,multiply(X_15,X_16)))) = double_divide(X_16,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(X_2,multiply(X_15,X_16)),multiply(multiply(X_15,X_16),multiply(inverse(X_3),X_2))),double_divide(multiply(inverse(X_3),X_2),double_divide(X_2,multiply(X_15,X_16)))),double_divide(X_16,X_15)) ),[0,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_179,plain,
( double_divide(multiply(double_divide(X_2,multiply(X_15,X_16)),multiply(multiply(X_15,X_16),multiply(inverse(X_3),X_2))),double_divide(multiply(inverse(X_3),X_2),double_divide(X_2,multiply(X_15,X_16)))) != double_divide(X_16,X_15)
| double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),X_2),double_divide(X_2,multiply(X_15,X_16)))) = double_divide(X_16,X_15) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_2,multiply(X_15,X_16)),multiply(multiply(X_15,X_16),multiply(inverse(X_3),X_2))),inverse(X_3)) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),X_2),double_divide(X_2,multiply(X_15,X_16)))) = double_divide(X_16,X_15),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_2,multiply(X_15,X_16)),multiply(multiply(X_15,X_16),multiply(inverse(X_3),X_2))),double_divide(multiply(inverse(X_3),X_2),double_divide(X_2,multiply(X_15,X_16)))),double_divide(X_16,X_15)) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(inverse(X_3),inverse(inverse(X_191)))))) = double_divide(inverse(inverse(X_191)),inverse(X_3)),
inference(subst,[],[refute_0_180:[bind(X_15,$fot(inverse(X_3))),bind(X_16,$fot(inverse(inverse(X_191)))),bind(X_2,$fot(inverse(inverse(X_191))))]]) ).
cnf(refute_0_182,plain,
double_divide(multiply(inverse(X_3),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(inverse(X_3),inverse(inverse(X_191))))) = X_191,
inference(subst,[],[refute_0_102:[bind(A,$fot(inverse(X_3))),bind(B,$fot(inverse(inverse(X_191)))),bind(X_94,$fot(X_191))]]) ).
cnf(refute_0_183,plain,
( double_divide(multiply(inverse(X_3),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(inverse(X_3),inverse(inverse(X_191))))) != X_191
| double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(inverse(X_3),inverse(inverse(X_191)))))) != double_divide(inverse(inverse(X_191)),inverse(X_3))
| double_divide(inverse(X_3),X_191) = double_divide(inverse(inverse(X_191)),inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(inverse(X_3),inverse(inverse(X_191)))))),double_divide(inverse(inverse(X_191)),inverse(X_3))) ),[0,1],$fot(X_191)]]) ).
cnf(refute_0_184,plain,
( double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(inverse(X_3),inverse(inverse(X_191)))))) != double_divide(inverse(inverse(X_191)),inverse(X_3))
| double_divide(inverse(X_3),X_191) = double_divide(inverse(inverse(X_191)),inverse(X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_3),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(inverse(X_3),inverse(inverse(X_191))))),X_191) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
double_divide(inverse(X_3),X_191) = double_divide(inverse(inverse(X_191)),inverse(X_3)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_3),double_divide(multiply(inverse(X_3),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(inverse(X_3),inverse(inverse(X_191)))))),double_divide(inverse(inverse(X_191)),inverse(X_3))) )],[refute_0_181,refute_0_184]) ).
cnf(refute_0_186,plain,
double_divide(inverse(inverse(X_191)),inverse(X_3)) = double_divide(inverse(inverse(X_191)),inverse(X_3)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(X_191)),inverse(X_3)))]]) ).
cnf(refute_0_187,plain,
( double_divide(inverse(inverse(X_191)),inverse(X_3)) != double_divide(inverse(inverse(X_191)),inverse(X_3))
| inverse(inverse(X_191)) != X_191
| double_divide(inverse(inverse(X_191)),inverse(X_3)) = double_divide(X_191,inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_191)),inverse(X_3)),double_divide(inverse(inverse(X_191)),inverse(X_3))) ),[1,0],$fot(X_191)]]) ).
cnf(refute_0_188,plain,
( inverse(inverse(X_191)) != X_191
| double_divide(inverse(inverse(X_191)),inverse(X_3)) = double_divide(X_191,inverse(X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_191)),inverse(X_3)),double_divide(inverse(inverse(X_191)),inverse(X_3))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
double_divide(inverse(inverse(X_191)),inverse(X_3)) = double_divide(X_191,inverse(X_3)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_191)),X_191) )],[refute_0_149,refute_0_188]) ).
cnf(refute_0_190,plain,
( double_divide(inverse(X_3),X_191) != double_divide(inverse(inverse(X_191)),inverse(X_3))
| double_divide(inverse(inverse(X_191)),inverse(X_3)) != double_divide(X_191,inverse(X_3))
| double_divide(inverse(X_3),X_191) = double_divide(X_191,inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(inverse(X_3),X_191),double_divide(X_191,inverse(X_3))) ),[0],$fot(double_divide(inverse(inverse(X_191)),inverse(X_3)))]]) ).
cnf(refute_0_191,plain,
( double_divide(inverse(X_3),X_191) != double_divide(inverse(inverse(X_191)),inverse(X_3))
| double_divide(inverse(X_3),X_191) = double_divide(X_191,inverse(X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_191)),inverse(X_3)),double_divide(X_191,inverse(X_3))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
double_divide(inverse(X_3),X_191) = double_divide(X_191,inverse(X_3)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_3),X_191),double_divide(inverse(inverse(X_191)),inverse(X_3))) )],[refute_0_185,refute_0_191]) ).
cnf(refute_0_193,plain,
double_divide(inverse(C),C) = double_divide(C,inverse(C)),
inference(subst,[],[refute_0_192:[bind(X_191,$fot(C)),bind(X_3,$fot(C))]]) ).
cnf(refute_0_194,plain,
double_divide(inverse(B),double_divide(inverse(C),C)) = double_divide(inverse(B),double_divide(inverse(C),C)),
introduced(tautology,[refl,[$fot(double_divide(inverse(B),double_divide(inverse(C),C)))]]) ).
cnf(refute_0_195,plain,
( double_divide(inverse(B),double_divide(inverse(C),C)) != double_divide(inverse(B),double_divide(inverse(C),C))
| double_divide(inverse(C),C) != double_divide(C,inverse(C))
| double_divide(inverse(B),double_divide(inverse(C),C)) = double_divide(inverse(B),double_divide(C,inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(B),double_divide(inverse(C),C)),double_divide(inverse(B),double_divide(inverse(C),C))) ),[1,1],$fot(double_divide(C,inverse(C)))]]) ).
cnf(refute_0_196,plain,
( double_divide(inverse(C),C) != double_divide(C,inverse(C))
| double_divide(inverse(B),double_divide(inverse(C),C)) = double_divide(inverse(B),double_divide(C,inverse(C))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(B),double_divide(inverse(C),C)),double_divide(inverse(B),double_divide(inverse(C),C))) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
double_divide(inverse(B),double_divide(inverse(C),C)) = double_divide(inverse(B),double_divide(C,inverse(C))),
inference(resolve,[$cnf( $equal(double_divide(inverse(C),C),double_divide(C,inverse(C))) )],[refute_0_193,refute_0_196]) ).
cnf(refute_0_198,plain,
( double_divide(inverse(B),double_divide(inverse(C),C)) != B
| double_divide(inverse(B),double_divide(inverse(C),C)) != double_divide(inverse(B),double_divide(C,inverse(C)))
| double_divide(inverse(B),double_divide(C,inverse(C))) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(B),double_divide(inverse(C),C)),B) ),[0],$fot(double_divide(inverse(B),double_divide(C,inverse(C))))]]) ).
cnf(refute_0_199,plain,
( double_divide(inverse(B),double_divide(inverse(C),C)) != B
| double_divide(inverse(B),double_divide(C,inverse(C))) = B ),
inference(resolve,[$cnf( $equal(double_divide(inverse(B),double_divide(inverse(C),C)),double_divide(inverse(B),double_divide(C,inverse(C)))) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
double_divide(inverse(B),double_divide(C,inverse(C))) = B,
inference(resolve,[$cnf( $equal(double_divide(inverse(B),double_divide(inverse(C),C)),B) )],[refute_0_171,refute_0_199]) ).
cnf(refute_0_201,plain,
multiply(inverse(C),C) = multiply(C,inverse(C)),
inference(subst,[],[refute_0_158:[bind(X_14,$fot(C)),bind(X_191,$fot(C))]]) ).
cnf(refute_0_202,plain,
inverse(double_divide(C,inverse(C))) = multiply(inverse(C),C),
inference(subst,[],[refute_0_5:[bind(A,$fot(inverse(C))),bind(B,$fot(C))]]) ).
cnf(refute_0_203,plain,
( multiply(inverse(C),C) != multiply(C,inverse(C))
| inverse(double_divide(C,inverse(C))) != multiply(inverse(C),C)
| inverse(double_divide(C,inverse(C))) = multiply(C,inverse(C)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(double_divide(C,inverse(C))))),bind(Y,$fot(multiply(inverse(C),C))),bind(Z,$fot(multiply(C,inverse(C))))]]) ).
cnf(refute_0_204,plain,
( multiply(inverse(C),C) != multiply(C,inverse(C))
| inverse(double_divide(C,inverse(C))) = multiply(C,inverse(C)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(C,inverse(C))),multiply(inverse(C),C)) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
inverse(double_divide(C,inverse(C))) = multiply(C,inverse(C)),
inference(resolve,[$cnf( $equal(multiply(inverse(C),C),multiply(C,inverse(C))) )],[refute_0_201,refute_0_204]) ).
cnf(refute_0_206,plain,
multiply(inverse(double_divide(C,inverse(C))),B) = multiply(inverse(double_divide(C,inverse(C))),B),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(C,inverse(C))),B))]]) ).
cnf(refute_0_207,plain,
( multiply(inverse(double_divide(C,inverse(C))),B) != multiply(inverse(double_divide(C,inverse(C))),B)
| inverse(double_divide(C,inverse(C))) != multiply(C,inverse(C))
| multiply(inverse(double_divide(C,inverse(C))),B) = multiply(multiply(C,inverse(C)),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(C,inverse(C))),B),multiply(inverse(double_divide(C,inverse(C))),B)) ),[1,0],$fot(multiply(C,inverse(C)))]]) ).
cnf(refute_0_208,plain,
( inverse(double_divide(C,inverse(C))) != multiply(C,inverse(C))
| multiply(inverse(double_divide(C,inverse(C))),B) = multiply(multiply(C,inverse(C)),B) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(C,inverse(C))),B),multiply(inverse(double_divide(C,inverse(C))),B)) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
multiply(inverse(double_divide(C,inverse(C))),B) = multiply(multiply(C,inverse(C)),B),
inference(resolve,[$cnf( $equal(inverse(double_divide(C,inverse(C))),multiply(C,inverse(C))) )],[refute_0_205,refute_0_208]) ).
cnf(refute_0_210,plain,
double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)))) = X_191,
inference(subst,[],[refute_0_102:[bind(A,$fot(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))))),bind(B,$fot(multiply(A,B))),bind(X_94,$fot(X_191))]]) ).
cnf(refute_0_211,plain,
multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),inverse(double_divide(B,A))) = inverse(X_12),
inference(subst,[],[refute_0_32:[bind(X_3,$fot(X_12)),bind(X_5,$fot(X_13)),bind(X_6,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_212,plain,
( multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),inverse(double_divide(B,A))) != inverse(X_12)
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)) = inverse(X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),inverse(double_divide(B,A))),inverse(X_12)) ),[0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_213,plain,
( multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),inverse(double_divide(B,A))) != inverse(X_12)
| multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)) = inverse(X_12) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_212]) ).
cnf(refute_0_214,plain,
multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)) = inverse(X_12),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),inverse(double_divide(B,A))),inverse(X_12)) )],[refute_0_211,refute_0_213]) ).
cnf(refute_0_215,plain,
multiply(inverse(double_divide(B,A)),X_13) = multiply(inverse(double_divide(B,A)),X_13),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(B,A)),X_13))]]) ).
cnf(refute_0_216,plain,
( multiply(inverse(double_divide(B,A)),X_13) != multiply(inverse(double_divide(B,A)),X_13)
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(double_divide(B,A)),X_13) = multiply(multiply(A,B),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(B,A)),X_13),multiply(inverse(double_divide(B,A)),X_13)) ),[1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_217,plain,
( inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(double_divide(B,A)),X_13) = multiply(multiply(A,B),X_13) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),X_13),multiply(inverse(double_divide(B,A)),X_13)) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
multiply(inverse(double_divide(B,A)),X_13) = multiply(multiply(A,B),X_13),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_217]) ).
cnf(refute_0_219,plain,
double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))) = double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),
introduced(tautology,[refl,[$fot(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))))]]) ).
cnf(refute_0_220,plain,
( multiply(inverse(double_divide(B,A)),X_13) != multiply(multiply(A,B),X_13)
| double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))) != double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12)))
| double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))) = double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12)))) ),[1,0],$fot(multiply(multiply(A,B),X_13))]]) ).
cnf(refute_0_221,plain,
( multiply(inverse(double_divide(B,A)),X_13) != multiply(multiply(A,B),X_13)
| double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))) = double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12)))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))) = double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),X_13),multiply(multiply(A,B),X_13)) )],[refute_0_218,refute_0_221]) ).
cnf(refute_0_223,plain,
multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)) = multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),
introduced(tautology,[refl,[$fot(multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)))]]) ).
cnf(refute_0_224,plain,
( multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)) != multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B))
| double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))) != double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12)))
| multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)) = multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B))) ),[1,0],$fot(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))))]]) ).
cnf(refute_0_225,plain,
( double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))) != double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12)))
| multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)) = multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)) = multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12)))) )],[refute_0_222,refute_0_225]) ).
cnf(refute_0_227,plain,
( multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)) != multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B))
| multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)) != inverse(X_12)
| multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)) = inverse(X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),inverse(X_12)) ),[0],$fot(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)))]]) ).
cnf(refute_0_228,plain,
( multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)) != inverse(X_12)
| multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)) = inverse(X_12) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B))) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)) = inverse(X_12),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(double_divide(B,A)),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),inverse(X_12)) )],[refute_0_214,refute_0_228]) ).
cnf(refute_0_230,plain,
( multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)) != inverse(X_12)
| double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)))) != X_191
| double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))) = X_191 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)))),X_191) ),[0,1,1],$fot(inverse(X_12))]]) ).
cnf(refute_0_231,plain,
( double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)))) != X_191
| double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))) = X_191 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),inverse(X_12)) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))) = X_191,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)))),X_191) )],[refute_0_210,refute_0_231]) ).
cnf(refute_0_233,plain,
( double_divide(inverse(X_3),X_191) != double_divide(inverse(inverse(X_191)),inverse(X_3))
| double_divide(inverse(inverse(X_191)),inverse(X_3)) = double_divide(inverse(X_3),X_191) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(double_divide(inverse(X_3),X_191))),bind(Y,$fot(double_divide(inverse(inverse(X_191)),inverse(X_3))))]]) ).
cnf(refute_0_234,plain,
double_divide(inverse(inverse(X_191)),inverse(X_3)) = double_divide(inverse(X_3),X_191),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_3),X_191),double_divide(inverse(inverse(X_191)),inverse(X_3))) )],[refute_0_185,refute_0_233]) ).
cnf(refute_0_235,plain,
double_divide(inverse(inverse(X_191)),inverse(X_12)) = double_divide(inverse(X_12),X_191),
inference(subst,[],[refute_0_234:[bind(X_3,$fot(X_12))]]) ).
cnf(refute_0_236,plain,
double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12))))]]) ).
cnf(refute_0_237,plain,
( double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12))) != double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12)))
| double_divide(inverse(inverse(X_191)),inverse(X_12)) != double_divide(inverse(X_12),X_191)
| double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(X_12),X_191)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12))),double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12)))) ),[1,1],$fot(double_divide(inverse(X_12),X_191))]]) ).
cnf(refute_0_238,plain,
( double_divide(inverse(inverse(X_191)),inverse(X_12)) != double_divide(inverse(X_12),X_191)
| double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(X_12),X_191)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12))),double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12)))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(X_12),X_191)),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_191)),inverse(X_12)),double_divide(inverse(X_12),X_191)) )],[refute_0_235,refute_0_238]) ).
cnf(refute_0_240,plain,
double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))) = double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))),
introduced(tautology,[refl,[$fot(double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))))]]) ).
cnf(refute_0_241,plain,
( multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)) != inverse(X_12)
| double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))) != double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12)))
| double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))),double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12)))) ),[1,0],$fot(inverse(X_12))]]) ).
cnf(refute_0_242,plain,
( multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)) != inverse(X_12)
| double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))),double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12)))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12))),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),inverse(X_12)) )],[refute_0_229,refute_0_242]) ).
cnf(refute_0_244,plain,
( double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))) != double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12)))
| double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12))) != double_divide(inverse(X_12),double_divide(inverse(X_12),X_191))
| double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(X_12),X_191)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))))),bind(Y,$fot(double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12))))),bind(Z,$fot(double_divide(inverse(X_12),double_divide(inverse(X_12),X_191))))]]) ).
cnf(refute_0_245,plain,
( double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12))) != double_divide(inverse(X_12),double_divide(inverse(X_12),X_191))
| double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(X_12),X_191)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))),double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12)))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(X_12),X_191)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),double_divide(inverse(inverse(X_191)),inverse(X_12))),double_divide(inverse(X_12),double_divide(inverse(X_12),X_191))) )],[refute_0_239,refute_0_245]) ).
cnf(refute_0_247,plain,
( double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))) != X_191
| double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))) != double_divide(inverse(X_12),double_divide(inverse(X_12),X_191))
| double_divide(inverse(X_12),double_divide(inverse(X_12),X_191)) = X_191 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))),X_191) ),[0],$fot(double_divide(inverse(X_12),double_divide(inverse(X_12),X_191)))]]) ).
cnf(refute_0_248,plain,
( double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))) != X_191
| double_divide(inverse(X_12),double_divide(inverse(X_12),X_191)) = X_191 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))),double_divide(inverse(X_12),double_divide(inverse(X_12),X_191))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
double_divide(inverse(X_12),double_divide(inverse(X_12),X_191)) = X_191,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(multiply(A,B),X_13),double_divide(X_13,inverse(X_12))),multiply(A,B)),double_divide(inverse(inverse(X_191)),inverse(X_12))),X_191) )],[refute_0_232,refute_0_248]) ).
cnf(refute_0_250,plain,
double_divide(inverse(X_198),double_divide(inverse(X_198),multiply(inverse(B),inverse(inverse(X_198))))) = multiply(inverse(B),inverse(inverse(X_198))),
inference(subst,[],[refute_0_249:[bind(X_12,$fot(X_198)),bind(X_191,$fot(multiply(inverse(B),inverse(inverse(X_198)))))]]) ).
cnf(refute_0_251,plain,
double_divide(inverse(double_divide(B,A)),double_divide(multiply(inverse(double_divide(B,A)),X_21),double_divide(X_21,multiply(X_19,X_20)))) = double_divide(X_20,X_19),
inference(subst,[],[refute_0_180:[bind(X_15,$fot(X_19)),bind(X_16,$fot(X_20)),bind(X_2,$fot(X_21)),bind(X_3,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_252,plain,
( double_divide(inverse(double_divide(B,A)),double_divide(multiply(inverse(double_divide(B,A)),X_21),double_divide(X_21,multiply(X_19,X_20)))) != double_divide(X_20,X_19)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))) = double_divide(X_20,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(multiply(inverse(double_divide(B,A)),X_21),double_divide(X_21,multiply(X_19,X_20)))),double_divide(X_20,X_19)) ),[0,1,0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_253,plain,
( double_divide(inverse(double_divide(B,A)),double_divide(multiply(inverse(double_divide(B,A)),X_21),double_divide(X_21,multiply(X_19,X_20)))) != double_divide(X_20,X_19)
| double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))) = double_divide(X_20,X_19) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_252]) ).
cnf(refute_0_254,plain,
double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))) = double_divide(X_20,X_19),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(multiply(inverse(double_divide(B,A)),X_21),double_divide(X_21,multiply(X_19,X_20)))),double_divide(X_20,X_19)) )],[refute_0_251,refute_0_253]) ).
cnf(refute_0_255,plain,
double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))) = double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))),
introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))))]]) ).
cnf(refute_0_256,plain,
( double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))) != double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20))))
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))) = double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))),double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20))))) ),[1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_257,plain,
( inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))) = double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))),double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20))))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))) = double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_257]) ).
cnf(refute_0_259,plain,
( double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))) != double_divide(X_20,X_19)
| double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))) != double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20))))
| double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))) = double_divide(X_20,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))),double_divide(X_20,X_19)) ),[0],$fot(double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))))]]) ).
cnf(refute_0_260,plain,
( double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))) != double_divide(X_20,X_19)
| double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))) = double_divide(X_20,X_19) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))),double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20))))) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))) = double_divide(X_20,X_19),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,multiply(X_19,X_20)))),double_divide(X_20,X_19)) )],[refute_0_254,refute_0_260]) ).
cnf(refute_0_262,plain,
double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(multiply(A,B),inverse(inverse(X_191)))))) = double_divide(inverse(inverse(X_191)),multiply(A,B)),
inference(subst,[],[refute_0_261:[bind(X_19,$fot(multiply(A,B))),bind(X_20,$fot(inverse(inverse(X_191)))),bind(X_21,$fot(inverse(inverse(X_191))))]]) ).
cnf(refute_0_263,plain,
double_divide(multiply(multiply(A,B),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(multiply(A,B),inverse(inverse(X_191))))) = X_191,
inference(subst,[],[refute_0_102:[bind(A,$fot(multiply(A,B))),bind(B,$fot(inverse(inverse(X_191)))),bind(X_94,$fot(X_191))]]) ).
cnf(refute_0_264,plain,
( double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(multiply(A,B),inverse(inverse(X_191)))))) != double_divide(inverse(inverse(X_191)),multiply(A,B))
| double_divide(multiply(multiply(A,B),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(multiply(A,B),inverse(inverse(X_191))))) != X_191
| double_divide(multiply(A,B),X_191) = double_divide(inverse(inverse(X_191)),multiply(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(multiply(A,B),inverse(inverse(X_191)))))),double_divide(inverse(inverse(X_191)),multiply(A,B))) ),[0,1],$fot(X_191)]]) ).
cnf(refute_0_265,plain,
( double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(multiply(A,B),inverse(inverse(X_191)))))) != double_divide(inverse(inverse(X_191)),multiply(A,B))
| double_divide(multiply(A,B),X_191) = double_divide(inverse(inverse(X_191)),multiply(A,B)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(A,B),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(multiply(A,B),inverse(inverse(X_191))))),X_191) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
double_divide(multiply(A,B),X_191) = double_divide(inverse(inverse(X_191)),multiply(A,B)),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),inverse(inverse(X_191))),double_divide(inverse(inverse(X_191)),multiply(multiply(A,B),inverse(inverse(X_191)))))),double_divide(inverse(inverse(X_191)),multiply(A,B))) )],[refute_0_262,refute_0_265]) ).
cnf(refute_0_267,plain,
double_divide(inverse(inverse(X_191)),multiply(A,B)) = double_divide(inverse(inverse(X_191)),multiply(A,B)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(X_191)),multiply(A,B)))]]) ).
cnf(refute_0_268,plain,
( double_divide(inverse(inverse(X_191)),multiply(A,B)) != double_divide(inverse(inverse(X_191)),multiply(A,B))
| inverse(inverse(X_191)) != X_191
| double_divide(inverse(inverse(X_191)),multiply(A,B)) = double_divide(X_191,multiply(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_191)),multiply(A,B)),double_divide(inverse(inverse(X_191)),multiply(A,B))) ),[1,0],$fot(X_191)]]) ).
cnf(refute_0_269,plain,
( inverse(inverse(X_191)) != X_191
| double_divide(inverse(inverse(X_191)),multiply(A,B)) = double_divide(X_191,multiply(A,B)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_191)),multiply(A,B)),double_divide(inverse(inverse(X_191)),multiply(A,B))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
double_divide(inverse(inverse(X_191)),multiply(A,B)) = double_divide(X_191,multiply(A,B)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_191)),X_191) )],[refute_0_149,refute_0_269]) ).
cnf(refute_0_271,plain,
( double_divide(multiply(A,B),X_191) != double_divide(inverse(inverse(X_191)),multiply(A,B))
| double_divide(inverse(inverse(X_191)),multiply(A,B)) != double_divide(X_191,multiply(A,B))
| double_divide(multiply(A,B),X_191) = double_divide(X_191,multiply(A,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(multiply(A,B),X_191),double_divide(X_191,multiply(A,B))) ),[0],$fot(double_divide(inverse(inverse(X_191)),multiply(A,B)))]]) ).
cnf(refute_0_272,plain,
( double_divide(multiply(A,B),X_191) != double_divide(inverse(inverse(X_191)),multiply(A,B))
| double_divide(multiply(A,B),X_191) = double_divide(X_191,multiply(A,B)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_191)),multiply(A,B)),double_divide(X_191,multiply(A,B))) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
double_divide(multiply(A,B),X_191) = double_divide(X_191,multiply(A,B)),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),X_191),double_divide(inverse(inverse(X_191)),multiply(A,B))) )],[refute_0_266,refute_0_272]) ).
cnf(refute_0_274,plain,
double_divide(multiply(inverse(B),inverse(X_3)),X_3) = double_divide(X_3,multiply(inverse(B),inverse(X_3))),
inference(subst,[],[refute_0_273:[bind(A,$fot(inverse(B))),bind(B,$fot(inverse(X_3))),bind(X_191,$fot(X_3))]]) ).
cnf(refute_0_275,plain,
( double_divide(multiply(inverse(B),inverse(X_3)),X_3) != B
| double_divide(multiply(inverse(B),inverse(X_3)),X_3) != double_divide(X_3,multiply(inverse(B),inverse(X_3)))
| double_divide(X_3,multiply(inverse(B),inverse(X_3))) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(B),inverse(X_3)),X_3),B) ),[0],$fot(double_divide(X_3,multiply(inverse(B),inverse(X_3))))]]) ).
cnf(refute_0_276,plain,
( double_divide(multiply(inverse(B),inverse(X_3)),X_3) != B
| double_divide(X_3,multiply(inverse(B),inverse(X_3))) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(B),inverse(X_3)),X_3),double_divide(X_3,multiply(inverse(B),inverse(X_3)))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
double_divide(X_3,multiply(inverse(B),inverse(X_3))) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(B),inverse(X_3)),X_3),B) )],[refute_0_65,refute_0_276]) ).
cnf(refute_0_278,plain,
double_divide(inverse(X_198),multiply(inverse(B),inverse(inverse(X_198)))) = B,
inference(subst,[],[refute_0_277:[bind(X_3,$fot(inverse(X_198)))]]) ).
cnf(refute_0_279,plain,
( double_divide(inverse(X_198),multiply(inverse(B),inverse(inverse(X_198)))) != B
| double_divide(inverse(X_198),double_divide(inverse(X_198),multiply(inverse(B),inverse(inverse(X_198))))) != multiply(inverse(B),inverse(inverse(X_198)))
| double_divide(inverse(X_198),B) = multiply(inverse(B),inverse(inverse(X_198))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_198),double_divide(inverse(X_198),multiply(inverse(B),inverse(inverse(X_198))))),multiply(inverse(B),inverse(inverse(X_198)))) ),[0,1],$fot(B)]]) ).
cnf(refute_0_280,plain,
( double_divide(inverse(X_198),double_divide(inverse(X_198),multiply(inverse(B),inverse(inverse(X_198))))) != multiply(inverse(B),inverse(inverse(X_198)))
| double_divide(inverse(X_198),B) = multiply(inverse(B),inverse(inverse(X_198))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_198),multiply(inverse(B),inverse(inverse(X_198)))),B) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
double_divide(inverse(X_198),B) = multiply(inverse(B),inverse(inverse(X_198))),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_198),double_divide(inverse(X_198),multiply(inverse(B),inverse(inverse(X_198))))),multiply(inverse(B),inverse(inverse(X_198)))) )],[refute_0_250,refute_0_280]) ).
cnf(refute_0_282,plain,
inverse(inverse(X_198)) = X_198,
inference(subst,[],[refute_0_148:[bind(X_79,$fot(X_198))]]) ).
cnf(refute_0_283,plain,
multiply(inverse(B),inverse(inverse(X_198))) = multiply(inverse(B),inverse(inverse(X_198))),
introduced(tautology,[refl,[$fot(multiply(inverse(B),inverse(inverse(X_198))))]]) ).
cnf(refute_0_284,plain,
( multiply(inverse(B),inverse(inverse(X_198))) != multiply(inverse(B),inverse(inverse(X_198)))
| inverse(inverse(X_198)) != X_198
| multiply(inverse(B),inverse(inverse(X_198))) = multiply(inverse(B),X_198) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(B),inverse(inverse(X_198))),multiply(inverse(B),inverse(inverse(X_198)))) ),[1,1],$fot(X_198)]]) ).
cnf(refute_0_285,plain,
( inverse(inverse(X_198)) != X_198
| multiply(inverse(B),inverse(inverse(X_198))) = multiply(inverse(B),X_198) ),
inference(resolve,[$cnf( $equal(multiply(inverse(B),inverse(inverse(X_198))),multiply(inverse(B),inverse(inverse(X_198)))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
multiply(inverse(B),inverse(inverse(X_198))) = multiply(inverse(B),X_198),
inference(resolve,[$cnf( $equal(inverse(inverse(X_198)),X_198) )],[refute_0_282,refute_0_285]) ).
cnf(refute_0_287,plain,
( multiply(inverse(B),inverse(inverse(X_198))) != multiply(inverse(B),X_198)
| double_divide(inverse(X_198),B) != multiply(inverse(B),inverse(inverse(X_198)))
| double_divide(inverse(X_198),B) = multiply(inverse(B),X_198) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_198),B),multiply(inverse(B),inverse(inverse(X_198)))) ),[1],$fot(multiply(inverse(B),X_198))]]) ).
cnf(refute_0_288,plain,
( double_divide(inverse(X_198),B) != multiply(inverse(B),inverse(inverse(X_198)))
| double_divide(inverse(X_198),B) = multiply(inverse(B),X_198) ),
inference(resolve,[$cnf( $equal(multiply(inverse(B),inverse(inverse(X_198))),multiply(inverse(B),X_198)) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
double_divide(inverse(X_198),B) = multiply(inverse(B),X_198),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_198),B),multiply(inverse(B),inverse(inverse(X_198)))) )],[refute_0_281,refute_0_288]) ).
cnf(refute_0_290,plain,
double_divide(inverse(B),double_divide(C,inverse(C))) = multiply(inverse(double_divide(C,inverse(C))),B),
inference(subst,[],[refute_0_289:[bind(B,$fot(double_divide(C,inverse(C)))),bind(X_198,$fot(B))]]) ).
cnf(refute_0_291,plain,
( multiply(inverse(double_divide(C,inverse(C))),B) != multiply(multiply(C,inverse(C)),B)
| double_divide(inverse(B),double_divide(C,inverse(C))) != multiply(inverse(double_divide(C,inverse(C))),B)
| double_divide(inverse(B),double_divide(C,inverse(C))) = multiply(multiply(C,inverse(C)),B) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(inverse(B),double_divide(C,inverse(C))))),bind(Y,$fot(multiply(inverse(double_divide(C,inverse(C))),B))),bind(Z,$fot(multiply(multiply(C,inverse(C)),B)))]]) ).
cnf(refute_0_292,plain,
( multiply(inverse(double_divide(C,inverse(C))),B) != multiply(multiply(C,inverse(C)),B)
| double_divide(inverse(B),double_divide(C,inverse(C))) = multiply(multiply(C,inverse(C)),B) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(B),double_divide(C,inverse(C))),multiply(inverse(double_divide(C,inverse(C))),B)) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
double_divide(inverse(B),double_divide(C,inverse(C))) = multiply(multiply(C,inverse(C)),B),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(C,inverse(C))),B),multiply(multiply(C,inverse(C)),B)) )],[refute_0_209,refute_0_292]) ).
cnf(refute_0_294,plain,
( double_divide(inverse(B),double_divide(C,inverse(C))) != B
| double_divide(inverse(B),double_divide(C,inverse(C))) != multiply(multiply(C,inverse(C)),B)
| multiply(multiply(C,inverse(C)),B) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(B),double_divide(C,inverse(C))),B) ),[0],$fot(multiply(multiply(C,inverse(C)),B))]]) ).
cnf(refute_0_295,plain,
( double_divide(inverse(B),double_divide(C,inverse(C))) != B
| multiply(multiply(C,inverse(C)),B) = B ),
inference(resolve,[$cnf( $equal(double_divide(inverse(B),double_divide(C,inverse(C))),multiply(multiply(C,inverse(C)),B)) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
multiply(multiply(C,inverse(C)),B) = B,
inference(resolve,[$cnf( $equal(double_divide(inverse(B),double_divide(C,inverse(C))),B) )],[refute_0_200,refute_0_295]) ).
cnf(refute_0_297,plain,
multiply(multiply(b2,inverse(b2)),a2) = a2,
inference(subst,[],[refute_0_296:[bind(B,$fot(a2)),bind(C,$fot(b2))]]) ).
cnf(refute_0_298,plain,
( multiply(multiply(b2,inverse(b2)),a2) != a2
| a2 != a2
| multiply(multiply(b2,inverse(b2)),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(b2,inverse(b2)),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_299,plain,
( a2 != a2
| multiply(multiply(b2,inverse(b2)),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(b2,inverse(b2)),a2),a2) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
a2 != a2,
inference(resolve,[$cnf( $equal(multiply(multiply(b2,inverse(b2)),a2),a2) )],[refute_0_299,refute_0_166]) ).
cnf(refute_0_301,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_302,plain,
$false,
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_301,refute_0_300]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP614-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 17:50:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.40/1.63 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.40/1.63
% 1.40/1.63 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.49/1.67
%------------------------------------------------------------------------------