TSTP Solution File: GRP613-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP613-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:44:08 EDT 2022
% Result : Unsatisfiable 0.40s 0.56s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 88
% Syntax : Number of clauses : 295 ( 156 unt; 0 nHn; 135 RR)
% Number of literals : 501 ( 500 equ; 208 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 : 918 ( 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_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ).
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( $equal(multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))),inverse(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)))) )],[refute_0_0,refute_0_26]) ).
cnf(refute_0_28,plain,
multiply(double_divide(multiply(inverse(X_10),X_9),double_divide(X_9,inverse(X_3))),multiply(double_divide(X_9,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_10),X_9)))) = inverse(X_3),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(multiply(inverse(X_10),X_9))),bind(X_4,$fot(double_divide(X_9,inverse(X_3))))]]) ).
cnf(refute_0_29,plain,
multiply(double_divide(X_9,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_10),X_9))) = inverse(X_10),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(X_9)),bind(X_3,$fot(X_10)),bind(X_4,$fot(inverse(X_3)))]]) ).
cnf(refute_0_30,plain,
( multiply(double_divide(X_9,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_10),X_9))) != inverse(X_10)
| multiply(double_divide(multiply(inverse(X_10),X_9),double_divide(X_9,inverse(X_3))),multiply(double_divide(X_9,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_10),X_9)))) != inverse(X_3)
| multiply(double_divide(multiply(inverse(X_10),X_9),double_divide(X_9,inverse(X_3))),inverse(X_10)) = inverse(X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_10),X_9),double_divide(X_9,inverse(X_3))),multiply(double_divide(X_9,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_10),X_9)))),inverse(X_3)) ),[0,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_31,plain,
( multiply(double_divide(multiply(inverse(X_10),X_9),double_divide(X_9,inverse(X_3))),multiply(double_divide(X_9,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_10),X_9)))) != inverse(X_3)
| multiply(double_divide(multiply(inverse(X_10),X_9),double_divide(X_9,inverse(X_3))),inverse(X_10)) = inverse(X_3) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_9,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_10),X_9))),inverse(X_10)) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
multiply(double_divide(multiply(inverse(X_10),X_9),double_divide(X_9,inverse(X_3))),inverse(X_10)) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_10),X_9),double_divide(X_9,inverse(X_3))),multiply(double_divide(X_9,inverse(X_3)),multiply(inverse(X_3),multiply(inverse(X_10),X_9)))),inverse(X_3)) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
multiply(double_divide(multiply(inverse(X_10),multiply(X_96,inverse(X_96))),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)) = inverse(X_3),
inference(subst,[],[refute_0_32:[bind(X_9,$fot(multiply(X_96,inverse(X_96))))]]) ).
cnf(refute_0_34,plain,
multiply(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),multiply(double_divide(A,C),multiply(inverse(X_10),multiply(C,multiply(inverse(B),A))))) = inverse(X_10),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(multiply(C,multiply(inverse(B),A)))),bind(X_3,$fot(X_10)),bind(X_4,$fot(double_divide(A,C)))]]) ).
cnf(refute_0_35,plain,
( multiply(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),multiply(double_divide(A,C),multiply(inverse(X_10),multiply(C,multiply(inverse(B),A))))) != inverse(X_10)
| double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)) != B
| multiply(B,multiply(double_divide(A,C),multiply(inverse(X_10),multiply(C,multiply(inverse(B),A))))) = inverse(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),multiply(double_divide(A,C),multiply(inverse(X_10),multiply(C,multiply(inverse(B),A))))),inverse(X_10)) ),[0,0],$fot(B)]]) ).
cnf(refute_0_36,plain,
( multiply(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),multiply(double_divide(A,C),multiply(inverse(X_10),multiply(C,multiply(inverse(B),A))))) != inverse(X_10)
| multiply(B,multiply(double_divide(A,C),multiply(inverse(X_10),multiply(C,multiply(inverse(B),A))))) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),B) )],[refute_0_23,refute_0_35]) ).
cnf(refute_0_37,plain,
multiply(B,multiply(double_divide(A,C),multiply(inverse(X_10),multiply(C,multiply(inverse(B),A))))) = inverse(X_10),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),multiply(double_divide(A,C),multiply(inverse(X_10),multiply(C,multiply(inverse(B),A))))),inverse(X_10)) )],[refute_0_34,refute_0_36]) ).
cnf(refute_0_38,plain,
multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),multiply(inverse(X_10),multiply(double_divide(X_26,X_28),multiply(inverse(B),multiply(X_28,multiply(inverse(inverse(X_10)),X_26))))))) = inverse(X_10),
inference(subst,[],[refute_0_37:[bind(A,$fot(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)))),bind(C,$fot(double_divide(X_26,X_28)))]]) ).
cnf(refute_0_39,plain,
multiply(inverse(X_10),multiply(double_divide(X_26,X_28),multiply(inverse(B),multiply(X_28,multiply(inverse(inverse(X_10)),X_26))))) = inverse(B),
inference(subst,[],[refute_0_37:[bind(A,$fot(X_26)),bind(B,$fot(inverse(X_10))),bind(C,$fot(X_28)),bind(X_10,$fot(B))]]) ).
cnf(refute_0_40,plain,
( multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),multiply(inverse(X_10),multiply(double_divide(X_26,X_28),multiply(inverse(B),multiply(X_28,multiply(inverse(inverse(X_10)),X_26))))))) != inverse(X_10)
| multiply(inverse(X_10),multiply(double_divide(X_26,X_28),multiply(inverse(B),multiply(X_28,multiply(inverse(inverse(X_10)),X_26))))) != inverse(B)
| multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))) = inverse(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),multiply(inverse(X_10),multiply(double_divide(X_26,X_28),multiply(inverse(B),multiply(X_28,multiply(inverse(inverse(X_10)),X_26))))))),inverse(X_10)) ),[0,1,1],$fot(inverse(B))]]) ).
cnf(refute_0_41,plain,
( multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),multiply(inverse(X_10),multiply(double_divide(X_26,X_28),multiply(inverse(B),multiply(X_28,multiply(inverse(inverse(X_10)),X_26))))))) != inverse(X_10)
| multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),multiply(double_divide(X_26,X_28),multiply(inverse(B),multiply(X_28,multiply(inverse(inverse(X_10)),X_26))))),inverse(B)) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))) = inverse(X_10),
inference(resolve,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),multiply(inverse(X_10),multiply(double_divide(X_26,X_28),multiply(inverse(B),multiply(X_28,multiply(inverse(inverse(X_10)),X_26))))))),inverse(X_10)) )],[refute_0_38,refute_0_41]) ).
cnf(refute_0_43,plain,
double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)) = inverse(X_10),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_26)),bind(B,$fot(inverse(X_10))),bind(C,$fot(X_28))]]) ).
cnf(refute_0_44,plain,
multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B)) = multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B)),
introduced(tautology,[refl,[$fot(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B)))]]) ).
cnf(refute_0_45,plain,
( multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B)) != multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))
| double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)) != inverse(X_10)
| multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B)) = multiply(inverse(X_10),inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B)),multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))) ),[1,0],$fot(inverse(X_10))]]) ).
cnf(refute_0_46,plain,
( double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)) != inverse(X_10)
| multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B)) = multiply(inverse(X_10),inverse(B)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B)),multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B)) = multiply(inverse(X_10),inverse(B)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(X_10)) )],[refute_0_43,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))) = multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))),
introduced(tautology,[refl,[$fot(multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))))]]) ).
cnf(refute_0_49,plain,
( multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))) != multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B)))
| multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B)) != multiply(inverse(X_10),inverse(B))
| multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))) = multiply(B,multiply(inverse(X_10),inverse(B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))),multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B)))) ),[1,1],$fot(multiply(inverse(X_10),inverse(B)))]]) ).
cnf(refute_0_50,plain,
( multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B)) != multiply(inverse(X_10),inverse(B))
| multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))) = multiply(B,multiply(inverse(X_10),inverse(B))) ),
inference(resolve,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))),multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B)))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))) = multiply(B,multiply(inverse(X_10),inverse(B))),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B)),multiply(inverse(X_10),inverse(B))) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
( multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))) != multiply(B,multiply(inverse(X_10),inverse(B)))
| multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))) != inverse(X_10)
| multiply(B,multiply(inverse(X_10),inverse(B))) = inverse(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))),inverse(X_10)) ),[0],$fot(multiply(B,multiply(inverse(X_10),inverse(B))))]]) ).
cnf(refute_0_53,plain,
( multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))) != inverse(X_10)
| multiply(B,multiply(inverse(X_10),inverse(B))) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))),multiply(B,multiply(inverse(X_10),inverse(B)))) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
multiply(B,multiply(inverse(X_10),inverse(B))) = inverse(X_10),
inference(resolve,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_28,multiply(inverse(inverse(X_10)),X_26)),double_divide(X_26,X_28)),inverse(B))),inverse(X_10)) )],[refute_0_42,refute_0_53]) ).
cnf(refute_0_55,plain,
multiply(double_divide(inverse(X_94),X_94),multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94)))) = inverse(X_10),
inference(subst,[],[refute_0_54:[bind(B,$fot(double_divide(inverse(X_94),X_94)))]]) ).
cnf(refute_0_56,plain,
multiply(double_divide(inverse(X_4),X_4),multiply(X_4,multiply(inverse(X_3),inverse(X_4)))) = inverse(X_3),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(inverse(X_4)))]]) ).
cnf(refute_0_57,plain,
multiply(X_4,multiply(inverse(X_3),inverse(X_4))) = inverse(X_3),
inference(subst,[],[refute_0_54:[bind(B,$fot(X_4)),bind(X_10,$fot(X_3))]]) ).
cnf(refute_0_58,plain,
( multiply(X_4,multiply(inverse(X_3),inverse(X_4))) != inverse(X_3)
| multiply(double_divide(inverse(X_4),X_4),multiply(X_4,multiply(inverse(X_3),inverse(X_4)))) != inverse(X_3)
| multiply(double_divide(inverse(X_4),X_4),inverse(X_3)) = inverse(X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_4),X_4),multiply(X_4,multiply(inverse(X_3),inverse(X_4)))),inverse(X_3)) ),[0,1],$fot(inverse(X_3))]]) ).
cnf(refute_0_59,plain,
( multiply(double_divide(inverse(X_4),X_4),multiply(X_4,multiply(inverse(X_3),inverse(X_4)))) != inverse(X_3)
| multiply(double_divide(inverse(X_4),X_4),inverse(X_3)) = inverse(X_3) ),
inference(resolve,[$cnf( $equal(multiply(X_4,multiply(inverse(X_3),inverse(X_4))),inverse(X_3)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
multiply(double_divide(inverse(X_4),X_4),inverse(X_3)) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_4),X_4),multiply(X_4,multiply(inverse(X_3),inverse(X_4)))),inverse(X_3)) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
multiply(double_divide(inverse(X_37),X_37),inverse(double_divide(B,A))) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_60:[bind(X_3,$fot(double_divide(B,A))),bind(X_4,$fot(X_37))]]) ).
cnf(refute_0_62,plain,
( multiply(double_divide(inverse(X_37),X_37),inverse(double_divide(B,A))) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(double_divide(inverse(X_37),X_37),multiply(A,B)) = inverse(double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_37),X_37),inverse(double_divide(B,A))),inverse(double_divide(B,A))) ),[0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_63,plain,
( multiply(double_divide(inverse(X_37),X_37),inverse(double_divide(B,A))) != inverse(double_divide(B,A))
| multiply(double_divide(inverse(X_37),X_37),multiply(A,B)) = inverse(double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_62]) ).
cnf(refute_0_64,plain,
multiply(double_divide(inverse(X_37),X_37),multiply(A,B)) = inverse(double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_37),X_37),inverse(double_divide(B,A))),inverse(double_divide(B,A))) )],[refute_0_61,refute_0_63]) ).
cnf(refute_0_65,plain,
( multiply(double_divide(inverse(X_37),X_37),multiply(A,B)) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(double_divide(inverse(X_37),X_37),multiply(A,B)) = multiply(A,B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(inverse(X_37),X_37),multiply(A,B)),multiply(A,B)) ),[0],$fot(inverse(double_divide(B,A)))]]) ).
cnf(refute_0_66,plain,
( multiply(double_divide(inverse(X_37),X_37),multiply(A,B)) != inverse(double_divide(B,A))
| multiply(double_divide(inverse(X_37),X_37),multiply(A,B)) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_65]) ).
cnf(refute_0_67,plain,
multiply(double_divide(inverse(X_37),X_37),multiply(A,B)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_37),X_37),multiply(A,B)),inverse(double_divide(B,A))) )],[refute_0_64,refute_0_66]) ).
cnf(refute_0_68,plain,
multiply(double_divide(inverse(X_94),X_94),multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94)))) = multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94))),
inference(subst,[],[refute_0_67:[bind(A,$fot(inverse(X_10))),bind(B,$fot(inverse(double_divide(inverse(X_94),X_94)))),bind(X_37,$fot(X_94))]]) ).
cnf(refute_0_69,plain,
( multiply(double_divide(inverse(X_94),X_94),multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94)))) != multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94)))
| multiply(double_divide(inverse(X_94),X_94),multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94)))) != inverse(X_10)
| multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94))) = inverse(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_94),X_94),multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94)))),inverse(X_10)) ),[0],$fot(multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94))))]]) ).
cnf(refute_0_70,plain,
( multiply(double_divide(inverse(X_94),X_94),multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94)))) != inverse(X_10)
| multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94))) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_94),X_94),multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94)))),multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94)))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94))) = inverse(X_10),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_94),X_94),multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94)))),inverse(X_10)) )],[refute_0_55,refute_0_70]) ).
cnf(refute_0_72,plain,
inverse(double_divide(inverse(X_94),X_94)) = multiply(X_94,inverse(X_94)),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_94)),bind(B,$fot(inverse(X_94)))]]) ).
cnf(refute_0_73,plain,
multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94))) = multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94))))]]) ).
cnf(refute_0_74,plain,
( multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94))) != multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94)))
| inverse(double_divide(inverse(X_94),X_94)) != multiply(X_94,inverse(X_94))
| multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94))) = multiply(inverse(X_10),multiply(X_94,inverse(X_94))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94))),multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94)))) ),[1,1],$fot(multiply(X_94,inverse(X_94)))]]) ).
cnf(refute_0_75,plain,
( inverse(double_divide(inverse(X_94),X_94)) != multiply(X_94,inverse(X_94))
| multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94))) = multiply(inverse(X_10),multiply(X_94,inverse(X_94))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94))),multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94)))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94))) = multiply(inverse(X_10),multiply(X_94,inverse(X_94))),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_94),X_94)),multiply(X_94,inverse(X_94))) )],[refute_0_72,refute_0_75]) ).
cnf(refute_0_77,plain,
( multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94))) != multiply(inverse(X_10),multiply(X_94,inverse(X_94)))
| multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94))) != inverse(X_10)
| multiply(inverse(X_10),multiply(X_94,inverse(X_94))) = inverse(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94))),inverse(X_10)) ),[0],$fot(multiply(inverse(X_10),multiply(X_94,inverse(X_94))))]]) ).
cnf(refute_0_78,plain,
( multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94))) != inverse(X_10)
| multiply(inverse(X_10),multiply(X_94,inverse(X_94))) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94))),multiply(inverse(X_10),multiply(X_94,inverse(X_94)))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
multiply(inverse(X_10),multiply(X_94,inverse(X_94))) = inverse(X_10),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(double_divide(inverse(X_94),X_94))),inverse(X_10)) )],[refute_0_71,refute_0_78]) ).
cnf(refute_0_80,plain,
multiply(inverse(X_10),multiply(X_96,inverse(X_96))) = inverse(X_10),
inference(subst,[],[refute_0_79:[bind(X_94,$fot(X_96))]]) ).
cnf(refute_0_81,plain,
( multiply(double_divide(multiply(inverse(X_10),multiply(X_96,inverse(X_96))),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)) != inverse(X_3)
| multiply(inverse(X_10),multiply(X_96,inverse(X_96))) != inverse(X_10)
| multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)) = inverse(X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_10),multiply(X_96,inverse(X_96))),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)),inverse(X_3)) ),[0,0,0],$fot(inverse(X_10))]]) ).
cnf(refute_0_82,plain,
( multiply(double_divide(multiply(inverse(X_10),multiply(X_96,inverse(X_96))),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)) != inverse(X_3)
| multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)) = inverse(X_3) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),multiply(X_96,inverse(X_96))),inverse(X_10)) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_10),multiply(X_96,inverse(X_96))),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)),inverse(X_3)) )],[refute_0_33,refute_0_82]) ).
cnf(refute_0_84,plain,
double_divide(multiply(X_4,multiply(inverse(double_divide(B,A)),X_2)),double_divide(X_2,X_4)) = double_divide(B,A),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_2)),bind(B,$fot(double_divide(B,A))),bind(C,$fot(X_4))]]) ).
cnf(refute_0_85,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_86,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( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_85]) ).
cnf(refute_0_87,plain,
double_divide(multiply(X_4,multiply(multiply(A,B),X_2)),double_divide(X_2,X_4)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_4,multiply(inverse(double_divide(B,A)),X_2)),double_divide(X_2,X_4)),double_divide(B,A)) )],[refute_0_84,refute_0_86]) ).
cnf(refute_0_88,plain,
double_divide(multiply(double_divide(X_7,X_8),multiply(multiply(A,B),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(multiply(X_8,multiply(multiply(X_5,X_6),X_7)),double_divide(X_7,X_8))) = double_divide(B,A),
inference(subst,[],[refute_0_87:[bind(X_2,$fot(multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),bind(X_4,$fot(double_divide(X_7,X_8)))]]) ).
cnf(refute_0_89,plain,
double_divide(multiply(X_8,multiply(multiply(X_5,X_6),X_7)),double_divide(X_7,X_8)) = double_divide(X_6,X_5),
inference(subst,[],[refute_0_87:[bind(A,$fot(X_5)),bind(B,$fot(X_6)),bind(X_2,$fot(X_7)),bind(X_4,$fot(X_8))]]) ).
cnf(refute_0_90,plain,
( double_divide(multiply(X_8,multiply(multiply(X_5,X_6),X_7)),double_divide(X_7,X_8)) != double_divide(X_6,X_5)
| double_divide(multiply(double_divide(X_7,X_8),multiply(multiply(A,B),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(multiply(X_8,multiply(multiply(X_5,X_6),X_7)),double_divide(X_7,X_8))) != double_divide(B,A)
| double_divide(multiply(double_divide(X_7,X_8),multiply(multiply(A,B),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(X_7,X_8),multiply(multiply(A,B),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(multiply(X_8,multiply(multiply(X_5,X_6),X_7)),double_divide(X_7,X_8))),double_divide(B,A)) ),[0,1],$fot(double_divide(X_6,X_5))]]) ).
cnf(refute_0_91,plain,
( double_divide(multiply(double_divide(X_7,X_8),multiply(multiply(A,B),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(multiply(X_8,multiply(multiply(X_5,X_6),X_7)),double_divide(X_7,X_8))) != double_divide(B,A)
| double_divide(multiply(double_divide(X_7,X_8),multiply(multiply(A,B),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_8,multiply(multiply(X_5,X_6),X_7)),double_divide(X_7,X_8)),double_divide(X_6,X_5)) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
double_divide(multiply(double_divide(X_7,X_8),multiply(multiply(A,B),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_7,X_8),multiply(multiply(A,B),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(multiply(X_8,multiply(multiply(X_5,X_6),X_7)),double_divide(X_7,X_8))),double_divide(B,A)) )],[refute_0_88,refute_0_91]) ).
cnf(refute_0_93,plain,
double_divide(multiply(double_divide(X_7,X_8),multiply(multiply(inverse(X_95),multiply(X_96,inverse(X_96))),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)) = double_divide(multiply(X_96,inverse(X_96)),inverse(X_95)),
inference(subst,[],[refute_0_92:[bind(A,$fot(inverse(X_95))),bind(B,$fot(multiply(X_96,inverse(X_96))))]]) ).
cnf(refute_0_94,plain,
multiply(inverse(X_95),multiply(X_96,inverse(X_96))) = inverse(X_95),
inference(subst,[],[refute_0_79:[bind(X_10,$fot(X_95)),bind(X_94,$fot(X_96))]]) ).
cnf(refute_0_95,plain,
( multiply(inverse(X_95),multiply(X_96,inverse(X_96))) != inverse(X_95)
| double_divide(multiply(double_divide(X_7,X_8),multiply(multiply(inverse(X_95),multiply(X_96,inverse(X_96))),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)) != double_divide(multiply(X_96,inverse(X_96)),inverse(X_95))
| double_divide(multiply(double_divide(X_7,X_8),multiply(inverse(X_95),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)) = double_divide(multiply(X_96,inverse(X_96)),inverse(X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(X_7,X_8),multiply(multiply(inverse(X_95),multiply(X_96,inverse(X_96))),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)),double_divide(multiply(X_96,inverse(X_96)),inverse(X_95))) ),[0,0,1,0],$fot(inverse(X_95))]]) ).
cnf(refute_0_96,plain,
( double_divide(multiply(double_divide(X_7,X_8),multiply(multiply(inverse(X_95),multiply(X_96,inverse(X_96))),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)) != double_divide(multiply(X_96,inverse(X_96)),inverse(X_95))
| double_divide(multiply(double_divide(X_7,X_8),multiply(inverse(X_95),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)) = double_divide(multiply(X_96,inverse(X_96)),inverse(X_95)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_95),multiply(X_96,inverse(X_96))),inverse(X_95)) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
double_divide(multiply(double_divide(X_7,X_8),multiply(inverse(X_95),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)) = double_divide(multiply(X_96,inverse(X_96)),inverse(X_95)),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_7,X_8),multiply(multiply(inverse(X_95),multiply(X_96,inverse(X_96))),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)),double_divide(multiply(X_96,inverse(X_96)),inverse(X_95))) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
double_divide(multiply(double_divide(X_7,X_8),multiply(inverse(B),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(multiply(X_8,multiply(multiply(X_5,X_6),X_7)),double_divide(X_7,X_8))) = B,
inference(subst,[],[refute_0_23:[bind(A,$fot(multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),bind(C,$fot(double_divide(X_7,X_8)))]]) ).
cnf(refute_0_99,plain,
( double_divide(multiply(X_8,multiply(multiply(X_5,X_6),X_7)),double_divide(X_7,X_8)) != double_divide(X_6,X_5)
| double_divide(multiply(double_divide(X_7,X_8),multiply(inverse(B),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(multiply(X_8,multiply(multiply(X_5,X_6),X_7)),double_divide(X_7,X_8))) != B
| double_divide(multiply(double_divide(X_7,X_8),multiply(inverse(B),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(X_7,X_8),multiply(inverse(B),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(multiply(X_8,multiply(multiply(X_5,X_6),X_7)),double_divide(X_7,X_8))),B) ),[0,1],$fot(double_divide(X_6,X_5))]]) ).
cnf(refute_0_100,plain,
( double_divide(multiply(double_divide(X_7,X_8),multiply(inverse(B),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(multiply(X_8,multiply(multiply(X_5,X_6),X_7)),double_divide(X_7,X_8))) != B
| double_divide(multiply(double_divide(X_7,X_8),multiply(inverse(B),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_8,multiply(multiply(X_5,X_6),X_7)),double_divide(X_7,X_8)),double_divide(X_6,X_5)) )],[refute_0_89,refute_0_99]) ).
cnf(refute_0_101,plain,
double_divide(multiply(double_divide(X_7,X_8),multiply(inverse(B),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_7,X_8),multiply(inverse(B),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(multiply(X_8,multiply(multiply(X_5,X_6),X_7)),double_divide(X_7,X_8))),B) )],[refute_0_98,refute_0_100]) ).
cnf(refute_0_102,plain,
double_divide(multiply(double_divide(X_7,X_8),multiply(inverse(X_95),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)) = X_95,
inference(subst,[],[refute_0_101:[bind(B,$fot(X_95))]]) ).
cnf(refute_0_103,plain,
( double_divide(multiply(double_divide(X_7,X_8),multiply(inverse(X_95),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)) != X_95
| double_divide(multiply(double_divide(X_7,X_8),multiply(inverse(X_95),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)) != double_divide(multiply(X_96,inverse(X_96)),inverse(X_95))
| X_95 = double_divide(multiply(X_96,inverse(X_96)),inverse(X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(X_7,X_8),multiply(inverse(X_95),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)),double_divide(multiply(X_96,inverse(X_96)),inverse(X_95))) ),[0],$fot(X_95)]]) ).
cnf(refute_0_104,plain,
( double_divide(multiply(double_divide(X_7,X_8),multiply(inverse(X_95),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)) != double_divide(multiply(X_96,inverse(X_96)),inverse(X_95))
| X_95 = double_divide(multiply(X_96,inverse(X_96)),inverse(X_95)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_7,X_8),multiply(inverse(X_95),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)),X_95) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
X_95 = double_divide(multiply(X_96,inverse(X_96)),inverse(X_95)),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_7,X_8),multiply(inverse(X_95),multiply(X_8,multiply(multiply(X_5,X_6),X_7)))),double_divide(X_6,X_5)),double_divide(multiply(X_96,inverse(X_96)),inverse(X_95))) )],[refute_0_97,refute_0_104]) ).
cnf(refute_0_106,plain,
( X_95 != double_divide(multiply(X_96,inverse(X_96)),inverse(X_95))
| double_divide(multiply(X_96,inverse(X_96)),inverse(X_95)) = X_95 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_95)),bind(Y,$fot(double_divide(multiply(X_96,inverse(X_96)),inverse(X_95))))]]) ).
cnf(refute_0_107,plain,
double_divide(multiply(X_96,inverse(X_96)),inverse(X_95)) = X_95,
inference(resolve,[$cnf( $equal(X_95,double_divide(multiply(X_96,inverse(X_96)),inverse(X_95))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
double_divide(multiply(X_96,inverse(X_96)),inverse(X_3)) = X_3,
inference(subst,[],[refute_0_107:[bind(X_95,$fot(X_3))]]) ).
cnf(refute_0_109,plain,
double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))) = double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))))]]) ).
cnf(refute_0_110,plain,
( double_divide(multiply(X_96,inverse(X_96)),inverse(X_3)) != X_3
| double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))) != double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3)))
| double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))) = double_divide(inverse(X_10),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3)))) ),[1,1],$fot(X_3)]]) ).
cnf(refute_0_111,plain,
( double_divide(multiply(X_96,inverse(X_96)),inverse(X_3)) != X_3
| double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))) = double_divide(inverse(X_10),X_3) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3)))) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))) = double_divide(inverse(X_10),X_3),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_96,inverse(X_96)),inverse(X_3)),X_3) )],[refute_0_108,refute_0_111]) ).
cnf(refute_0_113,plain,
multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)) = multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)))]]) ).
cnf(refute_0_114,plain,
( multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)) != multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10))
| double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))) != double_divide(inverse(X_10),X_3)
| multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)) = multiply(double_divide(inverse(X_10),X_3),inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)),multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10))) ),[1,0],$fot(double_divide(inverse(X_10),X_3))]]) ).
cnf(refute_0_115,plain,
( double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))) != double_divide(inverse(X_10),X_3)
| multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)) = multiply(double_divide(inverse(X_10),X_3),inverse(X_10)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)),multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)) = multiply(double_divide(inverse(X_10),X_3),inverse(X_10)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),double_divide(inverse(X_10),X_3)) )],[refute_0_112,refute_0_115]) ).
cnf(refute_0_117,plain,
( multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)) != multiply(double_divide(inverse(X_10),X_3),inverse(X_10))
| multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)) != inverse(X_3)
| multiply(double_divide(inverse(X_10),X_3),inverse(X_10)) = inverse(X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)),inverse(X_3)) ),[0],$fot(multiply(double_divide(inverse(X_10),X_3),inverse(X_10)))]]) ).
cnf(refute_0_118,plain,
( multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)) != inverse(X_3)
| multiply(double_divide(inverse(X_10),X_3),inverse(X_10)) = inverse(X_3) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)),multiply(double_divide(inverse(X_10),X_3),inverse(X_10))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
multiply(double_divide(inverse(X_10),X_3),inverse(X_10)) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_10),double_divide(multiply(X_96,inverse(X_96)),inverse(X_3))),inverse(X_10)),inverse(X_3)) )],[refute_0_83,refute_0_118]) ).
cnf(refute_0_120,plain,
multiply(double_divide(inverse(X_97),double_divide(inverse(inverse(X_44)),inverse(X_97))),inverse(X_97)) = inverse(double_divide(inverse(inverse(X_44)),inverse(X_97))),
inference(subst,[],[refute_0_119:[bind(X_10,$fot(X_97)),bind(X_3,$fot(double_divide(inverse(inverse(X_44)),inverse(X_97))))]]) ).
cnf(refute_0_121,plain,
double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))) = B,
inference(subst,[],[refute_0_23:[bind(A,$fot(multiply(X_4,multiply(inverse(X_3),X_2)))),bind(C,$fot(double_divide(X_2,X_4)))]]) ).
cnf(refute_0_122,plain,
( double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)) != X_3
| double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))) != B
| double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),X_3) = B ),
introduced(tautology,[equality,[$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_123,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( $equal(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)),X_3) )],[refute_0_24,refute_0_122]) ).
cnf(refute_0_124,plain,
double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),X_3) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))),B) )],[refute_0_121,refute_0_123]) ).
cnf(refute_0_125,plain,
double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),multiply(inverse(B),multiply(double_divide(X_26,X_28),multiply(inverse(X_3),multiply(X_28,multiply(inverse(inverse(B)),X_26)))))),X_3) = B,
inference(subst,[],[refute_0_124:[bind(X_2,$fot(multiply(X_28,multiply(inverse(inverse(B)),X_26)))),bind(X_4,$fot(double_divide(X_26,X_28)))]]) ).
cnf(refute_0_126,plain,
multiply(inverse(B),multiply(double_divide(X_26,X_28),multiply(inverse(X_3),multiply(X_28,multiply(inverse(inverse(B)),X_26))))) = inverse(X_3),
inference(subst,[],[refute_0_37:[bind(A,$fot(X_26)),bind(B,$fot(inverse(B))),bind(C,$fot(X_28)),bind(X_10,$fot(X_3))]]) ).
cnf(refute_0_127,plain,
( multiply(inverse(B),multiply(double_divide(X_26,X_28),multiply(inverse(X_3),multiply(X_28,multiply(inverse(inverse(B)),X_26))))) != inverse(X_3)
| double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),multiply(inverse(B),multiply(double_divide(X_26,X_28),multiply(inverse(X_3),multiply(X_28,multiply(inverse(inverse(B)),X_26)))))),X_3) != B
| double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),multiply(inverse(B),multiply(double_divide(X_26,X_28),multiply(inverse(X_3),multiply(X_28,multiply(inverse(inverse(B)),X_26)))))),X_3),B) ),[0,0,1],$fot(inverse(X_3))]]) ).
cnf(refute_0_128,plain,
( double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),multiply(inverse(B),multiply(double_divide(X_26,X_28),multiply(inverse(X_3),multiply(X_28,multiply(inverse(inverse(B)),X_26)))))),X_3) != B
| double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) = B ),
inference(resolve,[$cnf( $equal(multiply(inverse(B),multiply(double_divide(X_26,X_28),multiply(inverse(X_3),multiply(X_28,multiply(inverse(inverse(B)),X_26))))),inverse(X_3)) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),multiply(inverse(B),multiply(double_divide(X_26,X_28),multiply(inverse(X_3),multiply(X_28,multiply(inverse(inverse(B)),X_26)))))),X_3),B) )],[refute_0_125,refute_0_128]) ).
cnf(refute_0_130,plain,
double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)) = inverse(B),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_26)),bind(B,$fot(inverse(B))),bind(C,$fot(X_28))]]) ).
cnf(refute_0_131,plain,
multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)) = multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),
introduced(tautology,[refl,[$fot(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)))]]) ).
cnf(refute_0_132,plain,
( multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)) != multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3))
| double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)) != inverse(B)
| multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)) = multiply(inverse(B),inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3))) ),[1,0],$fot(inverse(B))]]) ).
cnf(refute_0_133,plain,
( double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)) != inverse(B)
| multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)) = multiply(inverse(B),inverse(X_3)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)) = multiply(inverse(B),inverse(X_3)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(B)) )],[refute_0_130,refute_0_133]) ).
cnf(refute_0_135,plain,
double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) = double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3),
introduced(tautology,[refl,[$fot(double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3))]]) ).
cnf(refute_0_136,plain,
( multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)) != multiply(inverse(B),inverse(X_3))
| double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) != double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3)
| double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) = double_divide(multiply(inverse(B),inverse(X_3)),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3),double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3)) ),[1,0],$fot(multiply(inverse(B),inverse(X_3)))]]) ).
cnf(refute_0_137,plain,
( multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)) != multiply(inverse(B),inverse(X_3))
| double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) = double_divide(multiply(inverse(B),inverse(X_3)),X_3) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3),double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3)) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) = double_divide(multiply(inverse(B),inverse(X_3)),X_3),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),multiply(inverse(B),inverse(X_3))) )],[refute_0_134,refute_0_137]) ).
cnf(refute_0_139,plain,
( double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) != B
| double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) != double_divide(multiply(inverse(B),inverse(X_3)),X_3)
| double_divide(multiply(inverse(B),inverse(X_3)),X_3) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3),B) ),[0],$fot(double_divide(multiply(inverse(B),inverse(X_3)),X_3))]]) ).
cnf(refute_0_140,plain,
( double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3) != B
| double_divide(multiply(inverse(B),inverse(X_3)),X_3) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3),double_divide(multiply(inverse(B),inverse(X_3)),X_3)) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
double_divide(multiply(inverse(B),inverse(X_3)),X_3) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_28,multiply(inverse(inverse(B)),X_26)),double_divide(X_26,X_28)),inverse(X_3)),X_3),B) )],[refute_0_129,refute_0_140]) ).
cnf(refute_0_142,plain,
double_divide(multiply(inverse(X_30),inverse(double_divide(B,A))),double_divide(B,A)) = X_30,
inference(subst,[],[refute_0_141:[bind(B,$fot(X_30)),bind(X_3,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_143,plain,
( double_divide(multiply(inverse(X_30),inverse(double_divide(B,A))),double_divide(B,A)) != X_30
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(inverse(X_30),multiply(A,B)),double_divide(B,A)) = X_30 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_30),inverse(double_divide(B,A))),double_divide(B,A)),X_30) ),[0,0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_144,plain,
( double_divide(multiply(inverse(X_30),inverse(double_divide(B,A))),double_divide(B,A)) != X_30
| double_divide(multiply(inverse(X_30),multiply(A,B)),double_divide(B,A)) = X_30 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_143]) ).
cnf(refute_0_145,plain,
double_divide(multiply(inverse(X_30),multiply(A,B)),double_divide(B,A)) = X_30,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_30),inverse(double_divide(B,A))),double_divide(B,A)),X_30) )],[refute_0_142,refute_0_144]) ).
cnf(refute_0_146,plain,
double_divide(multiply(inverse(X_44),multiply(inverse(X_10),inverse(inverse(X_44)))),double_divide(inverse(inverse(X_44)),inverse(X_10))) = X_44,
inference(subst,[],[refute_0_145:[bind(A,$fot(inverse(X_10))),bind(B,$fot(inverse(inverse(X_44)))),bind(X_30,$fot(X_44))]]) ).
cnf(refute_0_147,plain,
multiply(inverse(X_44),multiply(inverse(X_10),inverse(inverse(X_44)))) = inverse(X_10),
inference(subst,[],[refute_0_54:[bind(B,$fot(inverse(X_44)))]]) ).
cnf(refute_0_148,plain,
( multiply(inverse(X_44),multiply(inverse(X_10),inverse(inverse(X_44)))) != inverse(X_10)
| double_divide(multiply(inverse(X_44),multiply(inverse(X_10),inverse(inverse(X_44)))),double_divide(inverse(inverse(X_44)),inverse(X_10))) != X_44
| double_divide(inverse(X_10),double_divide(inverse(inverse(X_44)),inverse(X_10))) = X_44 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_44),multiply(inverse(X_10),inverse(inverse(X_44)))),double_divide(inverse(inverse(X_44)),inverse(X_10))),X_44) ),[0,0],$fot(inverse(X_10))]]) ).
cnf(refute_0_149,plain,
( double_divide(multiply(inverse(X_44),multiply(inverse(X_10),inverse(inverse(X_44)))),double_divide(inverse(inverse(X_44)),inverse(X_10))) != X_44
| double_divide(inverse(X_10),double_divide(inverse(inverse(X_44)),inverse(X_10))) = X_44 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_44),multiply(inverse(X_10),inverse(inverse(X_44)))),inverse(X_10)) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
double_divide(inverse(X_10),double_divide(inverse(inverse(X_44)),inverse(X_10))) = X_44,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_44),multiply(inverse(X_10),inverse(inverse(X_44)))),double_divide(inverse(inverse(X_44)),inverse(X_10))),X_44) )],[refute_0_146,refute_0_149]) ).
cnf(refute_0_151,plain,
double_divide(inverse(X_97),double_divide(inverse(inverse(X_44)),inverse(X_97))) = X_44,
inference(subst,[],[refute_0_150:[bind(X_10,$fot(X_97))]]) ).
cnf(refute_0_152,plain,
( multiply(double_divide(inverse(X_97),double_divide(inverse(inverse(X_44)),inverse(X_97))),inverse(X_97)) != inverse(double_divide(inverse(inverse(X_44)),inverse(X_97)))
| double_divide(inverse(X_97),double_divide(inverse(inverse(X_44)),inverse(X_97))) != X_44
| multiply(X_44,inverse(X_97)) = inverse(double_divide(inverse(inverse(X_44)),inverse(X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_97),double_divide(inverse(inverse(X_44)),inverse(X_97))),inverse(X_97)),inverse(double_divide(inverse(inverse(X_44)),inverse(X_97)))) ),[0,0],$fot(X_44)]]) ).
cnf(refute_0_153,plain,
( multiply(double_divide(inverse(X_97),double_divide(inverse(inverse(X_44)),inverse(X_97))),inverse(X_97)) != inverse(double_divide(inverse(inverse(X_44)),inverse(X_97)))
| multiply(X_44,inverse(X_97)) = inverse(double_divide(inverse(inverse(X_44)),inverse(X_97))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_97),double_divide(inverse(inverse(X_44)),inverse(X_97))),X_44) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
multiply(X_44,inverse(X_97)) = inverse(double_divide(inverse(inverse(X_44)),inverse(X_97))),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_97),double_divide(inverse(inverse(X_44)),inverse(X_97))),inverse(X_97)),inverse(double_divide(inverse(inverse(X_44)),inverse(X_97)))) )],[refute_0_120,refute_0_153]) ).
cnf(refute_0_155,plain,
inverse(double_divide(inverse(inverse(X_44)),inverse(X_97))) = multiply(inverse(X_97),inverse(inverse(X_44))),
inference(subst,[],[refute_0_5:[bind(A,$fot(inverse(X_97))),bind(B,$fot(inverse(inverse(X_44))))]]) ).
cnf(refute_0_156,plain,
( multiply(X_44,inverse(X_97)) != inverse(double_divide(inverse(inverse(X_44)),inverse(X_97)))
| inverse(double_divide(inverse(inverse(X_44)),inverse(X_97))) != multiply(inverse(X_97),inverse(inverse(X_44)))
| multiply(X_44,inverse(X_97)) = multiply(inverse(X_97),inverse(inverse(X_44))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_44,inverse(X_97)),multiply(inverse(X_97),inverse(inverse(X_44)))) ),[0],$fot(inverse(double_divide(inverse(inverse(X_44)),inverse(X_97))))]]) ).
cnf(refute_0_157,plain,
( multiply(X_44,inverse(X_97)) != inverse(double_divide(inverse(inverse(X_44)),inverse(X_97)))
| multiply(X_44,inverse(X_97)) = multiply(inverse(X_97),inverse(inverse(X_44))) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(inverse(X_44)),inverse(X_97))),multiply(inverse(X_97),inverse(inverse(X_44)))) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
multiply(X_44,inverse(X_97)) = multiply(inverse(X_97),inverse(inverse(X_44))),
inference(resolve,[$cnf( $equal(multiply(X_44,inverse(X_97)),inverse(double_divide(inverse(inverse(X_44)),inverse(X_97)))) )],[refute_0_154,refute_0_157]) ).
cnf(refute_0_159,plain,
double_divide(multiply(double_divide(X_9,inverse(B)),multiply(inverse(B),multiply(inverse(X_10),X_9))),double_divide(multiply(inverse(X_10),X_9),double_divide(X_9,inverse(B)))) = B,
inference(subst,[],[refute_0_23:[bind(A,$fot(multiply(inverse(X_10),X_9))),bind(C,$fot(double_divide(X_9,inverse(B))))]]) ).
cnf(refute_0_160,plain,
multiply(double_divide(X_9,inverse(B)),multiply(inverse(B),multiply(inverse(X_10),X_9))) = inverse(X_10),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(X_9)),bind(X_3,$fot(X_10)),bind(X_4,$fot(inverse(B)))]]) ).
cnf(refute_0_161,plain,
( multiply(double_divide(X_9,inverse(B)),multiply(inverse(B),multiply(inverse(X_10),X_9))) != inverse(X_10)
| double_divide(multiply(double_divide(X_9,inverse(B)),multiply(inverse(B),multiply(inverse(X_10),X_9))),double_divide(multiply(inverse(X_10),X_9),double_divide(X_9,inverse(B)))) != B
| double_divide(inverse(X_10),double_divide(multiply(inverse(X_10),X_9),double_divide(X_9,inverse(B)))) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(X_9,inverse(B)),multiply(inverse(B),multiply(inverse(X_10),X_9))),double_divide(multiply(inverse(X_10),X_9),double_divide(X_9,inverse(B)))),B) ),[0,0],$fot(inverse(X_10))]]) ).
cnf(refute_0_162,plain,
( double_divide(multiply(double_divide(X_9,inverse(B)),multiply(inverse(B),multiply(inverse(X_10),X_9))),double_divide(multiply(inverse(X_10),X_9),double_divide(X_9,inverse(B)))) != B
| double_divide(inverse(X_10),double_divide(multiply(inverse(X_10),X_9),double_divide(X_9,inverse(B)))) = B ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_9,inverse(B)),multiply(inverse(B),multiply(inverse(X_10),X_9))),inverse(X_10)) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
double_divide(inverse(X_10),double_divide(multiply(inverse(X_10),X_9),double_divide(X_9,inverse(B)))) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_9,inverse(B)),multiply(inverse(B),multiply(inverse(X_10),X_9))),double_divide(multiply(inverse(X_10),X_9),double_divide(X_9,inverse(B)))),B) )],[refute_0_159,refute_0_162]) ).
cnf(refute_0_164,plain,
double_divide(inverse(double_divide(B,A)),double_divide(multiply(inverse(double_divide(B,A)),X_21),double_divide(X_21,inverse(X_19)))) = X_19,
inference(subst,[],[refute_0_163:[bind(B,$fot(X_19)),bind(X_10,$fot(double_divide(B,A))),bind(X_9,$fot(X_21))]]) ).
cnf(refute_0_165,plain,
( double_divide(inverse(double_divide(B,A)),double_divide(multiply(inverse(double_divide(B,A)),X_21),double_divide(X_21,inverse(X_19)))) != 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,inverse(X_19)))) = X_19 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(multiply(inverse(double_divide(B,A)),X_21),double_divide(X_21,inverse(X_19)))),X_19) ),[0,1,0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_166,plain,
( double_divide(inverse(double_divide(B,A)),double_divide(multiply(inverse(double_divide(B,A)),X_21),double_divide(X_21,inverse(X_19)))) != X_19
| double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))) = X_19 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_165]) ).
cnf(refute_0_167,plain,
double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))) = X_19,
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(multiply(inverse(double_divide(B,A)),X_21),double_divide(X_21,inverse(X_19)))),X_19) )],[refute_0_164,refute_0_166]) ).
cnf(refute_0_168,plain,
double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))) = double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))),
introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))))]]) ).
cnf(refute_0_169,plain,
( double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))) != double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(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,inverse(X_19)))) = double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))),double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19))))) ),[1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_170,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,inverse(X_19)))) = double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))),double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19))))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))) = double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_170]) ).
cnf(refute_0_172,plain,
( double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))) != X_19
| double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))) != double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19))))
| double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))) = X_19 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))),X_19) ),[0],$fot(double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))))]]) ).
cnf(refute_0_173,plain,
( double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))) != X_19
| double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))) = X_19 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))),double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19))))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))) = X_19,
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(multiply(multiply(A,B),X_21),double_divide(X_21,inverse(X_19)))),X_19) )],[refute_0_167,refute_0_173]) ).
cnf(refute_0_175,plain,
double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),double_divide(multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54)))),inverse(X_19)))) = X_19,
inference(subst,[],[refute_0_174:[bind(X_21,$fot(multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))))]]) ).
cnf(refute_0_176,plain,
double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_30),inverse(C)))),double_divide(multiply(inverse(X_30),inverse(C)),C)) = B,
inference(subst,[],[refute_0_23:[bind(A,$fot(multiply(inverse(X_30),inverse(C))))]]) ).
cnf(refute_0_177,plain,
double_divide(multiply(inverse(X_30),inverse(C)),C) = X_30,
inference(subst,[],[refute_0_141:[bind(B,$fot(X_30)),bind(X_3,$fot(C))]]) ).
cnf(refute_0_178,plain,
( double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_30),inverse(C)))),double_divide(multiply(inverse(X_30),inverse(C)),C)) != B
| double_divide(multiply(inverse(X_30),inverse(C)),C) != X_30
| double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_30),inverse(C)))),X_30) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_30),inverse(C)))),double_divide(multiply(inverse(X_30),inverse(C)),C)),B) ),[0,1],$fot(X_30)]]) ).
cnf(refute_0_179,plain,
( double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_30),inverse(C)))),double_divide(multiply(inverse(X_30),inverse(C)),C)) != B
| double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_30),inverse(C)))),X_30) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_30),inverse(C)),C),X_30) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_30),inverse(C)))),X_30) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(C,multiply(inverse(B),multiply(inverse(X_30),inverse(C)))),double_divide(multiply(inverse(X_30),inverse(C)),C)),B) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
double_divide(multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54)))),inverse(X_19)) = X_53,
inference(subst,[],[refute_0_180:[bind(B,$fot(X_53)),bind(C,$fot(X_54)),bind(X_30,$fot(inverse(X_19)))]]) ).
cnf(refute_0_182,plain,
( double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),double_divide(multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54)))),inverse(X_19)))) != X_19
| double_divide(multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54)))),inverse(X_19)) != X_53
| double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)) = X_19 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),double_divide(multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54)))),inverse(X_19)))),X_19) ),[0,1,1],$fot(X_53)]]) ).
cnf(refute_0_183,plain,
( double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),double_divide(multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54)))),inverse(X_19)))) != X_19
| double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)) = X_19 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54)))),inverse(X_19)),X_53) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)) = X_19,
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),double_divide(multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54)))),inverse(X_19)))),X_19) )],[refute_0_175,refute_0_183]) ).
cnf(refute_0_185,plain,
multiply(double_divide(inverse(X_97),double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30)),inverse(X_97)) = inverse(double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30)),
inference(subst,[],[refute_0_119:[bind(X_10,$fot(X_97)),bind(X_3,$fot(double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30)))]]) ).
cnf(refute_0_186,plain,
double_divide(inverse(X_10),double_divide(multiply(inverse(X_10),multiply(inverse(X_30),inverse(inverse(B)))),double_divide(multiply(inverse(X_30),inverse(inverse(B))),inverse(B)))) = B,
inference(subst,[],[refute_0_163:[bind(X_9,$fot(multiply(inverse(X_30),inverse(inverse(B)))))]]) ).
cnf(refute_0_187,plain,
double_divide(multiply(inverse(X_30),inverse(inverse(B))),inverse(B)) = X_30,
inference(subst,[],[refute_0_141:[bind(B,$fot(X_30)),bind(X_3,$fot(inverse(B)))]]) ).
cnf(refute_0_188,plain,
( double_divide(multiply(inverse(X_30),inverse(inverse(B))),inverse(B)) != X_30
| double_divide(inverse(X_10),double_divide(multiply(inverse(X_10),multiply(inverse(X_30),inverse(inverse(B)))),double_divide(multiply(inverse(X_30),inverse(inverse(B))),inverse(B)))) != B
| double_divide(inverse(X_10),double_divide(multiply(inverse(X_10),multiply(inverse(X_30),inverse(inverse(B)))),X_30)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_10),double_divide(multiply(inverse(X_10),multiply(inverse(X_30),inverse(inverse(B)))),double_divide(multiply(inverse(X_30),inverse(inverse(B))),inverse(B)))),B) ),[0,1,1],$fot(X_30)]]) ).
cnf(refute_0_189,plain,
( double_divide(inverse(X_10),double_divide(multiply(inverse(X_10),multiply(inverse(X_30),inverse(inverse(B)))),double_divide(multiply(inverse(X_30),inverse(inverse(B))),inverse(B)))) != B
| double_divide(inverse(X_10),double_divide(multiply(inverse(X_10),multiply(inverse(X_30),inverse(inverse(B)))),X_30)) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_30),inverse(inverse(B))),inverse(B)),X_30) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
double_divide(inverse(X_10),double_divide(multiply(inverse(X_10),multiply(inverse(X_30),inverse(inverse(B)))),X_30)) = B,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_10),double_divide(multiply(inverse(X_10),multiply(inverse(X_30),inverse(inverse(B)))),double_divide(multiply(inverse(X_30),inverse(inverse(B))),inverse(B)))),B) )],[refute_0_186,refute_0_189]) ).
cnf(refute_0_191,plain,
double_divide(inverse(X_97),double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30)) = B,
inference(subst,[],[refute_0_190:[bind(X_10,$fot(X_97))]]) ).
cnf(refute_0_192,plain,
( multiply(double_divide(inverse(X_97),double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30)),inverse(X_97)) != inverse(double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30))
| double_divide(inverse(X_97),double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30)) != B
| multiply(B,inverse(X_97)) = inverse(double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_97),double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30)),inverse(X_97)),inverse(double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30))) ),[0,0],$fot(B)]]) ).
cnf(refute_0_193,plain,
( multiply(double_divide(inverse(X_97),double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30)),inverse(X_97)) != inverse(double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30))
| multiply(B,inverse(X_97)) = inverse(double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_97),double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30)),B) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
multiply(B,inverse(X_97)) = inverse(double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30)),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_97),double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30)),inverse(X_97)),inverse(double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30))) )],[refute_0_185,refute_0_193]) ).
cnf(refute_0_195,plain,
inverse(double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30)) = multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B))))),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_30)),bind(B,$fot(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B))))))]]) ).
cnf(refute_0_196,plain,
( multiply(B,inverse(X_97)) != inverse(double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30))
| inverse(double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30)) != multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))))
| multiply(B,inverse(X_97)) = multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(B,inverse(X_97)),multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))))) ),[0],$fot(inverse(double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30)))]]) ).
cnf(refute_0_197,plain,
( multiply(B,inverse(X_97)) != inverse(double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30))
| multiply(B,inverse(X_97)) = multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B))))) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30)),multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))))) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
multiply(B,inverse(X_97)) = multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B))))),
inference(resolve,[$cnf( $equal(multiply(B,inverse(X_97)),inverse(double_divide(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),X_30))) )],[refute_0_194,refute_0_197]) ).
cnf(refute_0_199,plain,
( multiply(X_44,inverse(X_97)) != multiply(inverse(X_97),inverse(inverse(X_44)))
| multiply(inverse(X_97),inverse(inverse(X_44))) = multiply(X_44,inverse(X_97)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_44,inverse(X_97)))),bind(Y,$fot(multiply(inverse(X_97),inverse(inverse(X_44)))))]]) ).
cnf(refute_0_200,plain,
multiply(inverse(X_97),inverse(inverse(X_44))) = multiply(X_44,inverse(X_97)),
inference(resolve,[$cnf( $equal(multiply(X_44,inverse(X_97)),multiply(inverse(X_97),inverse(inverse(X_44)))) )],[refute_0_158,refute_0_199]) ).
cnf(refute_0_201,plain,
multiply(inverse(X_30),inverse(inverse(B))) = multiply(B,inverse(X_30)),
inference(subst,[],[refute_0_200:[bind(X_44,$fot(B)),bind(X_97,$fot(X_30))]]) ).
cnf(refute_0_202,plain,
multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))) = multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))))]]) ).
cnf(refute_0_203,plain,
( multiply(inverse(X_30),inverse(inverse(B))) != multiply(B,inverse(X_30))
| multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))) != multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B))))
| multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))) = multiply(inverse(X_97),multiply(B,inverse(X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B))))) ),[1,1],$fot(multiply(B,inverse(X_30)))]]) ).
cnf(refute_0_204,plain,
( multiply(inverse(X_30),inverse(inverse(B))) != multiply(B,inverse(X_30))
| multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))) = multiply(inverse(X_97),multiply(B,inverse(X_30))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B))))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))) = multiply(inverse(X_97),multiply(B,inverse(X_30))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_30),inverse(inverse(B))),multiply(B,inverse(X_30))) )],[refute_0_201,refute_0_204]) ).
cnf(refute_0_206,plain,
multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B))))) = multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B))))),
introduced(tautology,[refl,[$fot(multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B))))))]]) ).
cnf(refute_0_207,plain,
( multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B))))) != multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))))
| multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))) != multiply(inverse(X_97),multiply(B,inverse(X_30)))
| multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B))))) = multiply(X_30,multiply(inverse(X_97),multiply(B,inverse(X_30)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B))))),multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))))) ),[1,1],$fot(multiply(inverse(X_97),multiply(B,inverse(X_30))))]]) ).
cnf(refute_0_208,plain,
( multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))) != multiply(inverse(X_97),multiply(B,inverse(X_30)))
| multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B))))) = multiply(X_30,multiply(inverse(X_97),multiply(B,inverse(X_30)))) ),
inference(resolve,[$cnf( $equal(multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B))))),multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))))) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B))))) = multiply(X_30,multiply(inverse(X_97),multiply(B,inverse(X_30)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))),multiply(inverse(X_97),multiply(B,inverse(X_30)))) )],[refute_0_205,refute_0_208]) ).
cnf(refute_0_210,plain,
( multiply(B,inverse(X_97)) != multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))))
| multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B))))) != multiply(X_30,multiply(inverse(X_97),multiply(B,inverse(X_30))))
| multiply(B,inverse(X_97)) = multiply(X_30,multiply(inverse(X_97),multiply(B,inverse(X_30)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(B,inverse(X_97)),multiply(X_30,multiply(inverse(X_97),multiply(B,inverse(X_30))))) ),[0],$fot(multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B))))))]]) ).
cnf(refute_0_211,plain,
( multiply(B,inverse(X_97)) != multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))))
| multiply(B,inverse(X_97)) = multiply(X_30,multiply(inverse(X_97),multiply(B,inverse(X_30)))) ),
inference(resolve,[$cnf( $equal(multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B))))),multiply(X_30,multiply(inverse(X_97),multiply(B,inverse(X_30))))) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
multiply(B,inverse(X_97)) = multiply(X_30,multiply(inverse(X_97),multiply(B,inverse(X_30)))),
inference(resolve,[$cnf( $equal(multiply(B,inverse(X_97)),multiply(X_30,multiply(inverse(X_97),multiply(inverse(X_30),inverse(inverse(B)))))) )],[refute_0_198,refute_0_211]) ).
cnf(refute_0_213,plain,
( multiply(B,inverse(X_97)) != multiply(X_30,multiply(inverse(X_97),multiply(B,inverse(X_30))))
| multiply(X_30,multiply(inverse(X_97),multiply(B,inverse(X_30)))) = multiply(B,inverse(X_97)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(B,inverse(X_97)))),bind(Y,$fot(multiply(X_30,multiply(inverse(X_97),multiply(B,inverse(X_30))))))]]) ).
cnf(refute_0_214,plain,
multiply(X_30,multiply(inverse(X_97),multiply(B,inverse(X_30)))) = multiply(B,inverse(X_97)),
inference(resolve,[$cnf( $equal(multiply(B,inverse(X_97)),multiply(X_30,multiply(inverse(X_97),multiply(B,inverse(X_30))))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54)))) = multiply(inverse(inverse(X_19)),inverse(X_53)),
inference(subst,[],[refute_0_214:[bind(B,$fot(inverse(inverse(X_19)))),bind(X_30,$fot(X_54)),bind(X_97,$fot(X_53))]]) ).
cnf(refute_0_216,plain,
multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))) = multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),
introduced(tautology,[refl,[$fot(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))))]]) ).
cnf(refute_0_217,plain,
( multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54)))) != multiply(inverse(inverse(X_19)),inverse(X_53))
| multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))) != multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54)))))
| multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))) = multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54)))))) ),[1,1],$fot(multiply(inverse(inverse(X_19)),inverse(X_53)))]]) ).
cnf(refute_0_218,plain,
( multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54)))) != multiply(inverse(inverse(X_19)),inverse(X_53))
| multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))) = multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54)))))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))) = multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),
inference(resolve,[$cnf( $equal(multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54)))),multiply(inverse(inverse(X_19)),inverse(X_53))) )],[refute_0_215,refute_0_218]) ).
cnf(refute_0_220,plain,
double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53) = double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53),
introduced(tautology,[refl,[$fot(double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53))]]) ).
cnf(refute_0_221,plain,
( multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))) != multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53)))
| double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53) != double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)
| double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53) = double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)) ),[1,0],$fot(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))))]]) ).
cnf(refute_0_222,plain,
( multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))) != multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53)))
| double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53) = double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53) = double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53)))) )],[refute_0_219,refute_0_222]) ).
cnf(refute_0_224,plain,
double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)) = double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)),
introduced(tautology,[refl,[$fot(double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)))]]) ).
cnf(refute_0_225,plain,
( double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)) != double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53))
| double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53) != double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53)
| double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)) = double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)),double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53))) ),[1,1],$fot(double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53))]]) ).
cnf(refute_0_226,plain,
( double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53) != double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53)
| double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)) = double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)),double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)) = double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53),double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53)) )],[refute_0_223,refute_0_226]) ).
cnf(refute_0_228,plain,
( double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)) != X_19
| double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)) != double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53))
| double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53)) = X_19 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)),X_19) ),[0],$fot(double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53)))]]) ).
cnf(refute_0_229,plain,
( double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)) != X_19
| double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53)) = X_19 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)),double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53)) = X_19,
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(X_54,multiply(inverse(X_53),multiply(inverse(inverse(X_19)),inverse(X_54))))),X_53)),X_19) )],[refute_0_184,refute_0_229]) ).
cnf(refute_0_231,plain,
double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),double_divide(multiply(inverse(B),inverse(inverse(X_49))),inverse(X_49)))) = X_49,
inference(subst,[],[refute_0_174:[bind(A,$fot(X_47)),bind(B,$fot(X_48)),bind(X_19,$fot(X_49)),bind(X_21,$fot(multiply(inverse(B),inverse(inverse(X_49)))))]]) ).
cnf(refute_0_232,plain,
double_divide(multiply(inverse(B),inverse(inverse(X_49))),inverse(X_49)) = B,
inference(subst,[],[refute_0_141:[bind(X_3,$fot(inverse(X_49)))]]) ).
cnf(refute_0_233,plain,
( double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),double_divide(multiply(inverse(B),inverse(inverse(X_49))),inverse(X_49)))) != X_49
| double_divide(multiply(inverse(B),inverse(inverse(X_49))),inverse(X_49)) != B
| double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)) = X_49 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),double_divide(multiply(inverse(B),inverse(inverse(X_49))),inverse(X_49)))),X_49) ),[0,1,1],$fot(B)]]) ).
cnf(refute_0_234,plain,
( double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),double_divide(multiply(inverse(B),inverse(inverse(X_49))),inverse(X_49)))) != X_49
| double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)) = X_49 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(B),inverse(inverse(X_49))),inverse(X_49)),B) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)) = X_49,
inference(resolve,[$cnf( $equal(double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),double_divide(multiply(inverse(B),inverse(inverse(X_49))),inverse(X_49)))),X_49) )],[refute_0_231,refute_0_234]) ).
cnf(refute_0_236,plain,
multiply(inverse(B),inverse(inverse(X_49))) = multiply(X_49,inverse(B)),
inference(subst,[],[refute_0_200:[bind(X_44,$fot(X_49)),bind(X_97,$fot(B))]]) ).
cnf(refute_0_237,plain,
multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))) = multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))))]]) ).
cnf(refute_0_238,plain,
( multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))) != multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49))))
| multiply(inverse(B),inverse(inverse(X_49))) != multiply(X_49,inverse(B))
| multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))) = multiply(multiply(X_47,X_48),multiply(X_49,inverse(B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49))))) ),[1,1],$fot(multiply(X_49,inverse(B)))]]) ).
cnf(refute_0_239,plain,
( multiply(inverse(B),inverse(inverse(X_49))) != multiply(X_49,inverse(B))
| multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))) = multiply(multiply(X_47,X_48),multiply(X_49,inverse(B))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49))))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))) = multiply(multiply(X_47,X_48),multiply(X_49,inverse(B))),
inference(resolve,[$cnf( $equal(multiply(inverse(B),inverse(inverse(X_49))),multiply(X_49,inverse(B))) )],[refute_0_236,refute_0_239]) ).
cnf(refute_0_241,plain,
double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B) = double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B),
introduced(tautology,[refl,[$fot(double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B))]]) ).
cnf(refute_0_242,plain,
( multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))) != multiply(multiply(X_47,X_48),multiply(X_49,inverse(B)))
| double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B) != double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)
| double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B) = double_divide(multiply(multiply(X_47,X_48),multiply(X_49,inverse(B))),B) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)) ),[1,0],$fot(multiply(multiply(X_47,X_48),multiply(X_49,inverse(B))))]]) ).
cnf(refute_0_243,plain,
( multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))) != multiply(multiply(X_47,X_48),multiply(X_49,inverse(B)))
| double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B) = double_divide(multiply(multiply(X_47,X_48),multiply(X_49,inverse(B))),B) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B) = double_divide(multiply(multiply(X_47,X_48),multiply(X_49,inverse(B))),B),
inference(resolve,[$cnf( $equal(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),multiply(multiply(X_47,X_48),multiply(X_49,inverse(B)))) )],[refute_0_240,refute_0_243]) ).
cnf(refute_0_245,plain,
double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)) = double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)),
introduced(tautology,[refl,[$fot(double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)))]]) ).
cnf(refute_0_246,plain,
( double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)) != double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B))
| double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B) != double_divide(multiply(multiply(X_47,X_48),multiply(X_49,inverse(B))),B)
| double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)) = double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(X_49,inverse(B))),B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)),double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B))) ),[1,1],$fot(double_divide(multiply(multiply(X_47,X_48),multiply(X_49,inverse(B))),B))]]) ).
cnf(refute_0_247,plain,
( double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B) != double_divide(multiply(multiply(X_47,X_48),multiply(X_49,inverse(B))),B)
| double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)) = double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(X_49,inverse(B))),B)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)),double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)) = double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(X_49,inverse(B))),B)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B),double_divide(multiply(multiply(X_47,X_48),multiply(X_49,inverse(B))),B)) )],[refute_0_244,refute_0_247]) ).
cnf(refute_0_249,plain,
( double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)) != X_49
| double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)) != double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(X_49,inverse(B))),B))
| double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(X_49,inverse(B))),B)) = X_49 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)),X_49) ),[0],$fot(double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(X_49,inverse(B))),B)))]]) ).
cnf(refute_0_250,plain,
( double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)) != X_49
| double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(X_49,inverse(B))),B)) = X_49 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)),double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(X_49,inverse(B))),B))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(X_49,inverse(B))),B)) = X_49,
inference(resolve,[$cnf( $equal(double_divide(multiply(X_47,X_48),double_divide(multiply(multiply(X_47,X_48),multiply(inverse(B),inverse(inverse(X_49)))),B)),X_49) )],[refute_0_235,refute_0_250]) ).
cnf(refute_0_252,plain,
double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53)) = inverse(inverse(X_19)),
inference(subst,[],[refute_0_251:[bind(B,$fot(X_53)),bind(X_47,$fot(A)),bind(X_48,$fot(B)),bind(X_49,$fot(inverse(inverse(X_19))))]]) ).
cnf(refute_0_253,plain,
( double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53)) != X_19
| double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53)) != inverse(inverse(X_19))
| inverse(inverse(X_19)) = X_19 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53)),X_19) ),[0],$fot(inverse(inverse(X_19)))]]) ).
cnf(refute_0_254,plain,
( double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53)) != X_19
| inverse(inverse(X_19)) = X_19 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53)),inverse(inverse(X_19))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
inverse(inverse(X_19)) = X_19,
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),double_divide(multiply(multiply(A,B),multiply(inverse(inverse(X_19)),inverse(X_53))),X_53)),X_19) )],[refute_0_230,refute_0_254]) ).
cnf(refute_0_256,plain,
inverse(inverse(X_44)) = X_44,
inference(subst,[],[refute_0_255:[bind(X_19,$fot(X_44))]]) ).
cnf(refute_0_257,plain,
multiply(inverse(X_97),inverse(inverse(X_44))) = multiply(inverse(X_97),inverse(inverse(X_44))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_97),inverse(inverse(X_44))))]]) ).
cnf(refute_0_258,plain,
( multiply(inverse(X_97),inverse(inverse(X_44))) != multiply(inverse(X_97),inverse(inverse(X_44)))
| inverse(inverse(X_44)) != X_44
| multiply(inverse(X_97),inverse(inverse(X_44))) = multiply(inverse(X_97),X_44) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_97),inverse(inverse(X_44))),multiply(inverse(X_97),inverse(inverse(X_44)))) ),[1,1],$fot(X_44)]]) ).
cnf(refute_0_259,plain,
( inverse(inverse(X_44)) != X_44
| multiply(inverse(X_97),inverse(inverse(X_44))) = multiply(inverse(X_97),X_44) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_97),inverse(inverse(X_44))),multiply(inverse(X_97),inverse(inverse(X_44)))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
multiply(inverse(X_97),inverse(inverse(X_44))) = multiply(inverse(X_97),X_44),
inference(resolve,[$cnf( $equal(inverse(inverse(X_44)),X_44) )],[refute_0_256,refute_0_259]) ).
cnf(refute_0_261,plain,
( multiply(X_44,inverse(X_97)) != multiply(inverse(X_97),inverse(inverse(X_44)))
| multiply(inverse(X_97),inverse(inverse(X_44))) != multiply(inverse(X_97),X_44)
| multiply(X_44,inverse(X_97)) = multiply(inverse(X_97),X_44) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_44,inverse(X_97)),multiply(inverse(X_97),X_44)) ),[0],$fot(multiply(inverse(X_97),inverse(inverse(X_44))))]]) ).
cnf(refute_0_262,plain,
( multiply(X_44,inverse(X_97)) != multiply(inverse(X_97),inverse(inverse(X_44)))
| multiply(X_44,inverse(X_97)) = multiply(inverse(X_97),X_44) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_97),inverse(inverse(X_44))),multiply(inverse(X_97),X_44)) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
multiply(X_44,inverse(X_97)) = multiply(inverse(X_97),X_44),
inference(resolve,[$cnf( $equal(multiply(X_44,inverse(X_97)),multiply(inverse(X_97),inverse(inverse(X_44)))) )],[refute_0_158,refute_0_262]) ).
cnf(refute_0_264,plain,
( multiply(X_44,inverse(X_97)) != multiply(inverse(X_97),X_44)
| multiply(inverse(X_97),X_44) = multiply(X_44,inverse(X_97)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_44,inverse(X_97)))),bind(Y,$fot(multiply(inverse(X_97),X_44)))]]) ).
cnf(refute_0_265,plain,
multiply(inverse(X_97),X_44) = multiply(X_44,inverse(X_97)),
inference(resolve,[$cnf( $equal(multiply(X_44,inverse(X_97)),multiply(inverse(X_97),X_44)) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(subst,[],[refute_0_265:[bind(X_44,$fot(a1)),bind(X_97,$fot(a1))]]) ).
cnf(refute_0_267,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) != multiply(a1,inverse(a1))
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) ),[1],$fot(multiply(inverse(b1),b1))]]) ).
cnf(refute_0_268,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
multiply(inverse(b1),b1) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_265:[bind(X_44,$fot(b1)),bind(X_97,$fot(b1))]]) ).
cnf(refute_0_270,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(inverse(b1),b1) != multiply(b1,inverse(b1))
| multiply(a1,inverse(a1)) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a1,inverse(a1)),multiply(inverse(b1),b1)) ),[1],$fot(multiply(b1,inverse(b1)))]]) ).
cnf(refute_0_271,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(a1,inverse(a1)) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),multiply(b1,inverse(b1))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),multiply(inverse(b1),b1)) )],[refute_0_271,refute_0_268]) ).
cnf(refute_0_273,plain,
multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_272,prove_these_axioms_1]) ).
cnf(refute_0_274,plain,
multiply(double_divide(inverse(X_97),double_divide(inverse(C),C)),inverse(X_97)) = inverse(double_divide(inverse(C),C)),
inference(subst,[],[refute_0_119:[bind(X_10,$fot(X_97)),bind(X_3,$fot(double_divide(inverse(C),C)))]]) ).
cnf(refute_0_275,plain,
double_divide(multiply(C,multiply(inverse(B),inverse(C))),double_divide(inverse(C),C)) = B,
inference(subst,[],[refute_0_23:[bind(A,$fot(inverse(C)))]]) ).
cnf(refute_0_276,plain,
multiply(C,multiply(inverse(B),inverse(C))) = inverse(B),
inference(subst,[],[refute_0_54:[bind(B,$fot(C)),bind(X_10,$fot(B))]]) ).
cnf(refute_0_277,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_278,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( $equal(multiply(C,multiply(inverse(B),inverse(C))),inverse(B)) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
double_divide(inverse(B),double_divide(inverse(C),C)) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(C,multiply(inverse(B),inverse(C))),double_divide(inverse(C),C)),B) )],[refute_0_275,refute_0_278]) ).
cnf(refute_0_280,plain,
double_divide(inverse(X_97),double_divide(inverse(C),C)) = X_97,
inference(subst,[],[refute_0_279:[bind(B,$fot(X_97))]]) ).
cnf(refute_0_281,plain,
( multiply(double_divide(inverse(X_97),double_divide(inverse(C),C)),inverse(X_97)) != inverse(double_divide(inverse(C),C))
| double_divide(inverse(X_97),double_divide(inverse(C),C)) != X_97
| multiply(X_97,inverse(X_97)) = inverse(double_divide(inverse(C),C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_97),double_divide(inverse(C),C)),inverse(X_97)),inverse(double_divide(inverse(C),C))) ),[0,0],$fot(X_97)]]) ).
cnf(refute_0_282,plain,
( multiply(double_divide(inverse(X_97),double_divide(inverse(C),C)),inverse(X_97)) != inverse(double_divide(inverse(C),C))
| multiply(X_97,inverse(X_97)) = inverse(double_divide(inverse(C),C)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_97),double_divide(inverse(C),C)),X_97) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
multiply(X_97,inverse(X_97)) = inverse(double_divide(inverse(C),C)),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_97),double_divide(inverse(C),C)),inverse(X_97)),inverse(double_divide(inverse(C),C))) )],[refute_0_274,refute_0_282]) ).
cnf(refute_0_284,plain,
inverse(double_divide(inverse(C),C)) = multiply(C,inverse(C)),
inference(subst,[],[refute_0_5:[bind(A,$fot(C)),bind(B,$fot(inverse(C)))]]) ).
cnf(refute_0_285,plain,
( multiply(X_97,inverse(X_97)) != inverse(double_divide(inverse(C),C))
| inverse(double_divide(inverse(C),C)) != multiply(C,inverse(C))
| multiply(X_97,inverse(X_97)) = multiply(C,inverse(C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_97,inverse(X_97)),multiply(C,inverse(C))) ),[0],$fot(inverse(double_divide(inverse(C),C)))]]) ).
cnf(refute_0_286,plain,
( multiply(X_97,inverse(X_97)) != inverse(double_divide(inverse(C),C))
| multiply(X_97,inverse(X_97)) = multiply(C,inverse(C)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(C),C)),multiply(C,inverse(C))) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
multiply(X_97,inverse(X_97)) = multiply(C,inverse(C)),
inference(resolve,[$cnf( $equal(multiply(X_97,inverse(X_97)),inverse(double_divide(inverse(C),C))) )],[refute_0_283,refute_0_286]) ).
cnf(refute_0_288,plain,
( multiply(X_97,inverse(X_97)) != multiply(C,inverse(C))
| multiply(C,inverse(C)) = multiply(X_97,inverse(X_97)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_97,inverse(X_97)))),bind(Y,$fot(multiply(C,inverse(C))))]]) ).
cnf(refute_0_289,plain,
multiply(C,inverse(C)) = multiply(X_97,inverse(X_97)),
inference(resolve,[$cnf( $equal(multiply(X_97,inverse(X_97)),multiply(C,inverse(C))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
multiply(a1,inverse(a1)) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_289:[bind(C,$fot(a1)),bind(X_97,$fot(b1))]]) ).
cnf(refute_0_291,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),multiply(b1,inverse(b1))) )],[refute_0_290,refute_0_273]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP613-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 08:56:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.40/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.56
% 0.40/0.56 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.40/0.62
%------------------------------------------------------------------------------