%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP002-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 10:32:09 EDT 2022
% Result : Unsatisfiable 0.80s 0.96s
% Output : CNFRefutation 1.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 128
% Number of leaves : 418
% Syntax : Number of clauses : 1696 ( 848 unt; 0 nHn; 840 RR)
% Number of literals : 2923 (2922 equ;1230 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 3257 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
multiply(identity,X) = X ).
cnf(left_inverse,axiom,
multiply(inverse(X),X) = identity ).
cnf(associativity,axiom,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ).
cnf(commutator,axiom,
commutator(X,Y) = multiply(X,multiply(Y,multiply(inverse(X),inverse(Y)))) ).
cnf(x_cubed_is_identity,hypothesis,
multiply(X,multiply(X,X)) = identity ).
cnf(prove_commutator,negated_conjecture,
commutator(commutator(a,b),b) != identity ).
cnf(refute_0_0,plain,
commutator(X,multiply(X_8,X_9)) = multiply(X,multiply(multiply(X_8,X_9),multiply(inverse(X),inverse(multiply(X_8,X_9))))),
inference(subst,[],[commutator:[bind(Y,$fot(multiply(X_8,X_9)))]]) ).
cnf(refute_0_1,plain,
multiply(multiply(X_8,X_9),multiply(inverse(X),inverse(multiply(X_8,X_9)))) = multiply(X_8,multiply(X_9,multiply(inverse(X),inverse(multiply(X_8,X_9))))),
inference(subst,[],[associativity:[bind(X,$fot(X_8)),bind(Y,$fot(X_9)),bind(Z,$fot(multiply(inverse(X),inverse(multiply(X_8,X_9)))))]]) ).
cnf(refute_0_2,plain,
( multiply(multiply(X_8,X_9),multiply(inverse(X),inverse(multiply(X_8,X_9)))) != multiply(X_8,multiply(X_9,multiply(inverse(X),inverse(multiply(X_8,X_9)))))
| commutator(X,multiply(X_8,X_9)) != multiply(X,multiply(multiply(X_8,X_9),multiply(inverse(X),inverse(multiply(X_8,X_9)))))
| commutator(X,multiply(X_8,X_9)) = multiply(X,multiply(X_8,multiply(X_9,multiply(inverse(X),inverse(multiply(X_8,X_9)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X,multiply(X_8,X_9)),multiply(X,multiply(multiply(X_8,X_9),multiply(inverse(X),inverse(multiply(X_8,X_9)))))) ),[1,1],$fot(multiply(X_8,multiply(X_9,multiply(inverse(X),inverse(multiply(X_8,X_9))))))]]) ).
cnf(refute_0_3,plain,
( commutator(X,multiply(X_8,X_9)) != multiply(X,multiply(multiply(X_8,X_9),multiply(inverse(X),inverse(multiply(X_8,X_9)))))
| commutator(X,multiply(X_8,X_9)) = multiply(X,multiply(X_8,multiply(X_9,multiply(inverse(X),inverse(multiply(X_8,X_9)))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_8,X_9),multiply(inverse(X),inverse(multiply(X_8,X_9)))),multiply(X_8,multiply(X_9,multiply(inverse(X),inverse(multiply(X_8,X_9)))))) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
commutator(X,multiply(X_8,X_9)) = multiply(X,multiply(X_8,multiply(X_9,multiply(inverse(X),inverse(multiply(X_8,X_9)))))),
inference(resolve,[$cnf( $equal(commutator(X,multiply(X_8,X_9)),multiply(X,multiply(multiply(X_8,X_9),multiply(inverse(X),inverse(multiply(X_8,X_9)))))) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
commutator(X_34,multiply(X_35,inverse(inverse(X_34)))) = multiply(X_34,multiply(X_35,multiply(inverse(inverse(X_34)),multiply(inverse(X_34),inverse(multiply(X_35,inverse(inverse(X_34)))))))),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_34)),bind(X_8,$fot(X_35)),bind(X_9,$fot(inverse(inverse(X_34))))]]) ).
cnf(refute_0_6,plain,
multiply(multiply(inverse(X_9),X_9),X_10) = multiply(inverse(X_9),multiply(X_9,X_10)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_9))),bind(Y,$fot(X_9)),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_7,plain,
multiply(inverse(X_9),X_9) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(X_9))]]) ).
cnf(refute_0_8,plain,
( multiply(multiply(inverse(X_9),X_9),X_10) != multiply(inverse(X_9),multiply(X_9,X_10))
| multiply(inverse(X_9),X_9) != identity
| multiply(identity,X_10) = multiply(inverse(X_9),multiply(X_9,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_9),X_9),X_10),multiply(inverse(X_9),multiply(X_9,X_10))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_9,plain,
( multiply(multiply(inverse(X_9),X_9),X_10) != multiply(inverse(X_9),multiply(X_9,X_10))
| multiply(identity,X_10) = multiply(inverse(X_9),multiply(X_9,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_9),X_9),identity) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
multiply(identity,X_10) = multiply(inverse(X_9),multiply(X_9,X_10)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_9),X_9),X_10),multiply(inverse(X_9),multiply(X_9,X_10))) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
multiply(identity,X_10) = X_10,
inference(subst,[],[left_identity:[bind(X,$fot(X_10))]]) ).
cnf(refute_0_12,plain,
( multiply(identity,X_10) != X_10
| multiply(identity,X_10) != multiply(inverse(X_9),multiply(X_9,X_10))
| X_10 = multiply(inverse(X_9),multiply(X_9,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_10),multiply(inverse(X_9),multiply(X_9,X_10))) ),[0],$fot(X_10)]]) ).
cnf(refute_0_13,plain,
( multiply(identity,X_10) != multiply(inverse(X_9),multiply(X_9,X_10))
| X_10 = multiply(inverse(X_9),multiply(X_9,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(identity,X_10),X_10) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
X_10 = multiply(inverse(X_9),multiply(X_9,X_10)),
inference(resolve,[$cnf( $equal(multiply(identity,X_10),multiply(inverse(X_9),multiply(X_9,X_10))) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
inverse(multiply(X_35,inverse(inverse(X_34)))) = multiply(inverse(inverse(X_34)),multiply(inverse(X_34),inverse(multiply(X_35,inverse(inverse(X_34)))))),
inference(subst,[],[refute_0_14:[bind(X_10,$fot(inverse(multiply(X_35,inverse(inverse(X_34)))))),bind(X_9,$fot(inverse(X_34)))]]) ).
cnf(refute_0_16,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_17,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_18,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
( inverse(multiply(X_35,inverse(inverse(X_34)))) != multiply(inverse(inverse(X_34)),multiply(inverse(X_34),inverse(multiply(X_35,inverse(inverse(X_34))))))
| multiply(inverse(inverse(X_34)),multiply(inverse(X_34),inverse(multiply(X_35,inverse(inverse(X_34)))))) = inverse(multiply(X_35,inverse(inverse(X_34)))) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(inverse(multiply(X_35,inverse(inverse(X_34)))))),bind(Y0,$fot(multiply(inverse(inverse(X_34)),multiply(inverse(X_34),inverse(multiply(X_35,inverse(inverse(X_34))))))))]]) ).
cnf(refute_0_20,plain,
multiply(inverse(inverse(X_34)),multiply(inverse(X_34),inverse(multiply(X_35,inverse(inverse(X_34)))))) = inverse(multiply(X_35,inverse(inverse(X_34)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_35,inverse(inverse(X_34)))),multiply(inverse(inverse(X_34)),multiply(inverse(X_34),inverse(multiply(X_35,inverse(inverse(X_34))))))) )],[refute_0_15,refute_0_19]) ).
cnf(refute_0_21,plain,
( multiply(inverse(inverse(X_34)),multiply(inverse(X_34),inverse(multiply(X_35,inverse(inverse(X_34)))))) != inverse(multiply(X_35,inverse(inverse(X_34))))
| commutator(X_34,multiply(X_35,inverse(inverse(X_34)))) != multiply(X_34,multiply(X_35,multiply(inverse(inverse(X_34)),multiply(inverse(X_34),inverse(multiply(X_35,inverse(inverse(X_34))))))))
| commutator(X_34,multiply(X_35,inverse(inverse(X_34)))) = multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_34,multiply(X_35,inverse(inverse(X_34)))),multiply(X_34,multiply(X_35,multiply(inverse(inverse(X_34)),multiply(inverse(X_34),inverse(multiply(X_35,inverse(inverse(X_34))))))))) ),[1,1,1],$fot(inverse(multiply(X_35,inverse(inverse(X_34)))))]]) ).
cnf(refute_0_22,plain,
( commutator(X_34,multiply(X_35,inverse(inverse(X_34)))) != multiply(X_34,multiply(X_35,multiply(inverse(inverse(X_34)),multiply(inverse(X_34),inverse(multiply(X_35,inverse(inverse(X_34))))))))
| commutator(X_34,multiply(X_35,inverse(inverse(X_34)))) = multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_34)),multiply(inverse(X_34),inverse(multiply(X_35,inverse(inverse(X_34)))))),inverse(multiply(X_35,inverse(inverse(X_34))))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
commutator(X_34,multiply(X_35,inverse(inverse(X_34)))) = multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))),
inference(resolve,[$cnf( $equal(commutator(X_34,multiply(X_35,inverse(inverse(X_34)))),multiply(X_34,multiply(X_35,multiply(inverse(inverse(X_34)),multiply(inverse(X_34),inverse(multiply(X_35,inverse(inverse(X_34))))))))) )],[refute_0_5,refute_0_22]) ).
cnf(refute_0_24,plain,
X_10 = multiply(inverse(X_10),multiply(X_10,X_10)),
inference(subst,[],[refute_0_14:[bind(X_9,$fot(X_10))]]) ).
cnf(refute_0_25,plain,
multiply(X_14,X_14) = multiply(inverse(X_14),multiply(X_14,multiply(X_14,X_14))),
inference(subst,[],[refute_0_14:[bind(X_10,$fot(multiply(X_14,X_14))),bind(X_9,$fot(X_14))]]) ).
cnf(refute_0_26,plain,
multiply(X_14,multiply(X_14,X_14)) = identity,
inference(subst,[],[x_cubed_is_identity:[bind(X,$fot(X_14))]]) ).
cnf(refute_0_27,plain,
( multiply(X_14,X_14) != multiply(inverse(X_14),multiply(X_14,multiply(X_14,X_14)))
| multiply(X_14,multiply(X_14,X_14)) != identity
| multiply(X_14,X_14) = multiply(inverse(X_14),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_14,X_14),multiply(inverse(X_14),multiply(X_14,multiply(X_14,X_14)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_28,plain,
( multiply(X_14,X_14) != multiply(inverse(X_14),multiply(X_14,multiply(X_14,X_14)))
| multiply(X_14,X_14) = multiply(inverse(X_14),identity) ),
inference(resolve,[$cnf( $equal(multiply(X_14,multiply(X_14,X_14)),identity) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
multiply(X_14,X_14) = multiply(inverse(X_14),identity),
inference(resolve,[$cnf( $equal(multiply(X_14,X_14),multiply(inverse(X_14),multiply(X_14,multiply(X_14,X_14)))) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
X_13 = multiply(inverse(inverse(X_13)),multiply(inverse(X_13),X_13)),
inference(subst,[],[refute_0_14:[bind(X_10,$fot(X_13)),bind(X_9,$fot(inverse(X_13)))]]) ).
cnf(refute_0_31,plain,
multiply(inverse(X_13),X_13) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(X_13))]]) ).
cnf(refute_0_32,plain,
( X_13 != multiply(inverse(inverse(X_13)),multiply(inverse(X_13),X_13))
| multiply(inverse(X_13),X_13) != identity
| X_13 = multiply(inverse(inverse(X_13)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(X_13,multiply(inverse(inverse(X_13)),multiply(inverse(X_13),X_13))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_33,plain,
( X_13 != multiply(inverse(inverse(X_13)),multiply(inverse(X_13),X_13))
| X_13 = multiply(inverse(inverse(X_13)),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),X_13),identity) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
X_13 = multiply(inverse(inverse(X_13)),identity),
inference(resolve,[$cnf( $equal(X_13,multiply(inverse(inverse(X_13)),multiply(inverse(X_13),X_13))) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
multiply(X_14,X_13) = multiply(inverse(inverse(X_14)),multiply(inverse(X_14),multiply(X_14,X_13))),
inference(subst,[],[refute_0_14:[bind(X_10,$fot(multiply(X_14,X_13))),bind(X_9,$fot(inverse(X_14)))]]) ).
cnf(refute_0_36,plain,
X_13 = multiply(inverse(X_14),multiply(X_14,X_13)),
inference(subst,[],[refute_0_14:[bind(X_10,$fot(X_13)),bind(X_9,$fot(X_14))]]) ).
cnf(refute_0_37,plain,
( X_13 != multiply(inverse(X_14),multiply(X_14,X_13))
| multiply(inverse(X_14),multiply(X_14,X_13)) = X_13 ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(X_13)),bind(Y0,$fot(multiply(inverse(X_14),multiply(X_14,X_13))))]]) ).
cnf(refute_0_38,plain,
multiply(inverse(X_14),multiply(X_14,X_13)) = X_13,
inference(resolve,[$cnf( $equal(X_13,multiply(inverse(X_14),multiply(X_14,X_13))) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
( multiply(X_14,X_13) != multiply(inverse(inverse(X_14)),multiply(inverse(X_14),multiply(X_14,X_13)))
| multiply(inverse(X_14),multiply(X_14,X_13)) != X_13
| multiply(X_14,X_13) = multiply(inverse(inverse(X_14)),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_14,X_13),multiply(inverse(inverse(X_14)),multiply(inverse(X_14),multiply(X_14,X_13)))) ),[1,1],$fot(X_13)]]) ).
cnf(refute_0_40,plain,
( multiply(X_14,X_13) != multiply(inverse(inverse(X_14)),multiply(inverse(X_14),multiply(X_14,X_13)))
| multiply(X_14,X_13) = multiply(inverse(inverse(X_14)),X_13) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_14),multiply(X_14,X_13)),X_13) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
multiply(X_14,X_13) = multiply(inverse(inverse(X_14)),X_13),
inference(resolve,[$cnf( $equal(multiply(X_14,X_13),multiply(inverse(inverse(X_14)),multiply(inverse(X_14),multiply(X_14,X_13)))) )],[refute_0_35,refute_0_40]) ).
cnf(refute_0_42,plain,
( multiply(X_14,X_13) != multiply(inverse(inverse(X_14)),X_13)
| multiply(inverse(inverse(X_14)),X_13) = multiply(X_14,X_13) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(X_14,X_13))),bind(Y0,$fot(multiply(inverse(inverse(X_14)),X_13)))]]) ).
cnf(refute_0_43,plain,
multiply(inverse(inverse(X_14)),X_13) = multiply(X_14,X_13),
inference(resolve,[$cnf( $equal(multiply(X_14,X_13),multiply(inverse(inverse(X_14)),X_13)) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
multiply(inverse(inverse(X_13)),identity) = multiply(X_13,identity),
inference(subst,[],[refute_0_43:[bind(X_13,$fot(identity)),bind(X_14,$fot(X_13))]]) ).
cnf(refute_0_45,plain,
( X_13 != multiply(inverse(inverse(X_13)),identity)
| multiply(inverse(inverse(X_13)),identity) != multiply(X_13,identity)
| X_13 = multiply(X_13,identity) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_13,multiply(X_13,identity)) ),[0],$fot(multiply(inverse(inverse(X_13)),identity))]]) ).
cnf(refute_0_46,plain,
( X_13 != multiply(inverse(inverse(X_13)),identity)
| X_13 = multiply(X_13,identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),identity),multiply(X_13,identity)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
X_13 = multiply(X_13,identity),
inference(resolve,[$cnf( $equal(X_13,multiply(inverse(inverse(X_13)),identity)) )],[refute_0_34,refute_0_46]) ).
cnf(refute_0_48,plain,
( X_13 != multiply(X_13,identity)
| multiply(X_13,identity) = X_13 ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(X_13)),bind(Y0,$fot(multiply(X_13,identity)))]]) ).
cnf(refute_0_49,plain,
multiply(X_13,identity) = X_13,
inference(resolve,[$cnf( $equal(X_13,multiply(X_13,identity)) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
multiply(inverse(X_14),identity) = inverse(X_14),
inference(subst,[],[refute_0_49:[bind(X_13,$fot(inverse(X_14)))]]) ).
cnf(refute_0_51,plain,
( multiply(X_14,X_14) != multiply(inverse(X_14),identity)
| multiply(inverse(X_14),identity) != inverse(X_14)
| multiply(X_14,X_14) = inverse(X_14) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_14,X_14),inverse(X_14)) ),[0],$fot(multiply(inverse(X_14),identity))]]) ).
cnf(refute_0_52,plain,
( multiply(X_14,X_14) != multiply(inverse(X_14),identity)
| multiply(X_14,X_14) = inverse(X_14) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_14),identity),inverse(X_14)) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
multiply(X_14,X_14) = inverse(X_14),
inference(resolve,[$cnf( $equal(multiply(X_14,X_14),multiply(inverse(X_14),identity)) )],[refute_0_29,refute_0_52]) ).
cnf(refute_0_54,plain,
multiply(X_10,X_10) = inverse(X_10),
inference(subst,[],[refute_0_53:[bind(X_14,$fot(X_10))]]) ).
cnf(refute_0_55,plain,
( X_10 != multiply(inverse(X_10),multiply(X_10,X_10))
| multiply(X_10,X_10) != inverse(X_10)
| X_10 = multiply(inverse(X_10),inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(X_10,multiply(inverse(X_10),multiply(X_10,X_10))) ),[1,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_56,plain,
( X_10 != multiply(inverse(X_10),multiply(X_10,X_10))
| X_10 = multiply(inverse(X_10),inverse(X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_10,X_10),inverse(X_10)) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
X_10 = multiply(inverse(X_10),inverse(X_10)),
inference(resolve,[$cnf( $equal(X_10,multiply(inverse(X_10),multiply(X_10,X_10))) )],[refute_0_24,refute_0_56]) ).
cnf(refute_0_58,plain,
multiply(inverse(X_10),inverse(X_10)) = inverse(inverse(X_10)),
inference(subst,[],[refute_0_53:[bind(X_14,$fot(inverse(X_10)))]]) ).
cnf(refute_0_59,plain,
( X_10 != multiply(inverse(X_10),inverse(X_10))
| multiply(inverse(X_10),inverse(X_10)) != inverse(inverse(X_10))
| X_10 = inverse(inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_10,inverse(inverse(X_10))) ),[0],$fot(multiply(inverse(X_10),inverse(X_10)))]]) ).
cnf(refute_0_60,plain,
( X_10 != multiply(inverse(X_10),inverse(X_10))
| X_10 = inverse(inverse(X_10)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(X_10)),inverse(inverse(X_10))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
X_10 = inverse(inverse(X_10)),
inference(resolve,[$cnf( $equal(X_10,multiply(inverse(X_10),inverse(X_10))) )],[refute_0_57,refute_0_60]) ).
cnf(refute_0_62,plain,
( X_10 != inverse(inverse(X_10))
| inverse(inverse(X_10)) = X_10 ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(X_10)),bind(Y0,$fot(inverse(inverse(X_10))))]]) ).
cnf(refute_0_63,plain,
inverse(inverse(X_10)) = X_10,
inference(resolve,[$cnf( $equal(X_10,inverse(inverse(X_10))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
inverse(inverse(X_34)) = X_34,
inference(subst,[],[refute_0_63:[bind(X_10,$fot(X_34))]]) ).
cnf(refute_0_65,plain,
multiply(X_35,inverse(inverse(X_34))) = multiply(X_35,inverse(inverse(X_34))),
introduced(tautology,[refl,[$fot(multiply(X_35,inverse(inverse(X_34))))]]) ).
cnf(refute_0_66,plain,
( multiply(X_35,inverse(inverse(X_34))) != multiply(X_35,inverse(inverse(X_34)))
| inverse(inverse(X_34)) != X_34
| multiply(X_35,inverse(inverse(X_34))) = multiply(X_35,X_34) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_35,inverse(inverse(X_34))),multiply(X_35,inverse(inverse(X_34)))) ),[1,1],$fot(X_34)]]) ).
cnf(refute_0_67,plain,
( inverse(inverse(X_34)) != X_34
| multiply(X_35,inverse(inverse(X_34))) = multiply(X_35,X_34) ),
inference(resolve,[$cnf( $equal(multiply(X_35,inverse(inverse(X_34))),multiply(X_35,inverse(inverse(X_34)))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
multiply(X_35,inverse(inverse(X_34))) = multiply(X_35,X_34),
inference(resolve,[$cnf( $equal(inverse(inverse(X_34)),X_34) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
commutator(X_34,multiply(X_35,inverse(inverse(X_34)))) = commutator(X_34,multiply(X_35,inverse(inverse(X_34)))),
introduced(tautology,[refl,[$fot(commutator(X_34,multiply(X_35,inverse(inverse(X_34)))))]]) ).
cnf(refute_0_70,plain,
( multiply(X_35,inverse(inverse(X_34))) != multiply(X_35,X_34)
| commutator(X_34,multiply(X_35,inverse(inverse(X_34)))) != commutator(X_34,multiply(X_35,inverse(inverse(X_34))))
| commutator(X_34,multiply(X_35,inverse(inverse(X_34)))) = commutator(X_34,multiply(X_35,X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_34,multiply(X_35,inverse(inverse(X_34)))),commutator(X_34,multiply(X_35,inverse(inverse(X_34))))) ),[1,1],$fot(multiply(X_35,X_34))]]) ).
cnf(refute_0_71,plain,
( multiply(X_35,inverse(inverse(X_34))) != multiply(X_35,X_34)
| commutator(X_34,multiply(X_35,inverse(inverse(X_34)))) = commutator(X_34,multiply(X_35,X_34)) ),
inference(resolve,[$cnf( $equal(commutator(X_34,multiply(X_35,inverse(inverse(X_34)))),commutator(X_34,multiply(X_35,inverse(inverse(X_34))))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
commutator(X_34,multiply(X_35,inverse(inverse(X_34)))) = commutator(X_34,multiply(X_35,X_34)),
inference(resolve,[$cnf( $equal(multiply(X_35,inverse(inverse(X_34))),multiply(X_35,X_34)) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
( commutator(X_34,multiply(X_35,inverse(inverse(X_34)))) != multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))))
| commutator(X_34,multiply(X_35,inverse(inverse(X_34)))) != commutator(X_34,multiply(X_35,X_34))
| commutator(X_34,multiply(X_35,X_34)) = multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_34,multiply(X_35,inverse(inverse(X_34)))),multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))))) ),[0],$fot(commutator(X_34,multiply(X_35,X_34)))]]) ).
cnf(refute_0_74,plain,
( commutator(X_34,multiply(X_35,inverse(inverse(X_34)))) != multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))))
| commutator(X_34,multiply(X_35,X_34)) = multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))) ),
inference(resolve,[$cnf( $equal(commutator(X_34,multiply(X_35,inverse(inverse(X_34)))),commutator(X_34,multiply(X_35,X_34))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))) = multiply(inverse(X_9),multiply(X_9,multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))))),
inference(subst,[],[refute_0_14:[bind(X_10,$fot(multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))))))]]) ).
cnf(refute_0_76,plain,
commutator(inverse(X_9),multiply(X_9,X_36)) = multiply(inverse(X_9),multiply(X_9,multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))))),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_9))),bind(X_8,$fot(X_9)),bind(X_9,$fot(X_36))]]) ).
cnf(refute_0_77,plain,
( commutator(inverse(X_9),multiply(X_9,X_36)) != multiply(inverse(X_9),multiply(X_9,multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))))))
| multiply(inverse(X_9),multiply(X_9,multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))))) = commutator(inverse(X_9),multiply(X_9,X_36)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(commutator(inverse(X_9),multiply(X_9,X_36)))),bind(Y0,$fot(multiply(inverse(X_9),multiply(X_9,multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))))))))]]) ).
cnf(refute_0_78,plain,
multiply(inverse(X_9),multiply(X_9,multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))))) = commutator(inverse(X_9),multiply(X_9,X_36)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_9),multiply(X_9,X_36)),multiply(inverse(X_9),multiply(X_9,multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))))))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
( multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))) != multiply(inverse(X_9),multiply(X_9,multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))))))
| multiply(inverse(X_9),multiply(X_9,multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))))) != commutator(inverse(X_9),multiply(X_9,X_36))
| multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))) = commutator(inverse(X_9),multiply(X_9,X_36)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))),commutator(inverse(X_9),multiply(X_9,X_36))) ),[0],$fot(multiply(inverse(X_9),multiply(X_9,multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))))))]]) ).
cnf(refute_0_80,plain,
( multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))) != multiply(inverse(X_9),multiply(X_9,multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))))))
| multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))) = commutator(inverse(X_9),multiply(X_9,X_36)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_9),multiply(X_9,multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))))),commutator(inverse(X_9),multiply(X_9,X_36))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))) = commutator(inverse(X_9),multiply(X_9,X_36)),
inference(resolve,[$cnf( $equal(multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))),multiply(inverse(X_9),multiply(X_9,multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))))))) )],[refute_0_75,refute_0_80]) ).
cnf(refute_0_82,plain,
inverse(inverse(X_9)) = X_9,
inference(subst,[],[refute_0_63:[bind(X_10,$fot(X_9))]]) ).
cnf(refute_0_83,plain,
multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))) = multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))))]]) ).
cnf(refute_0_84,plain,
( multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))) != multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))
| inverse(inverse(X_9)) != X_9
| multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))) = multiply(X_9,inverse(multiply(X_9,X_36))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))),multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))) ),[1,0],$fot(X_9)]]) ).
cnf(refute_0_85,plain,
( inverse(inverse(X_9)) != X_9
| multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))) = multiply(X_9,inverse(multiply(X_9,X_36))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))),multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))) = multiply(X_9,inverse(multiply(X_9,X_36))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_9)),X_9) )],[refute_0_82,refute_0_85]) ).
cnf(refute_0_87,plain,
multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))) = multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))),
introduced(tautology,[refl,[$fot(multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))))]]) ).
cnf(refute_0_88,plain,
( multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))) != multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))))
| multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))) != multiply(X_9,inverse(multiply(X_9,X_36)))
| multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))) = multiply(X_36,multiply(X_9,inverse(multiply(X_9,X_36)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))),multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))))) ),[1,1],$fot(multiply(X_9,inverse(multiply(X_9,X_36))))]]) ).
cnf(refute_0_89,plain,
( multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))) != multiply(X_9,inverse(multiply(X_9,X_36)))
| multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))) = multiply(X_36,multiply(X_9,inverse(multiply(X_9,X_36)))) ),
inference(resolve,[$cnf( $equal(multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))),multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))) = multiply(X_36,multiply(X_9,inverse(multiply(X_9,X_36)))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36))),multiply(X_9,inverse(multiply(X_9,X_36)))) )],[refute_0_86,refute_0_89]) ).
cnf(refute_0_91,plain,
( multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))) != multiply(X_36,multiply(X_9,inverse(multiply(X_9,X_36))))
| multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))) != commutator(inverse(X_9),multiply(X_9,X_36))
| multiply(X_36,multiply(X_9,inverse(multiply(X_9,X_36)))) = commutator(inverse(X_9),multiply(X_9,X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))),commutator(inverse(X_9),multiply(X_9,X_36))) ),[0],$fot(multiply(X_36,multiply(X_9,inverse(multiply(X_9,X_36)))))]]) ).
cnf(refute_0_92,plain,
( multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))) != commutator(inverse(X_9),multiply(X_9,X_36))
| multiply(X_36,multiply(X_9,inverse(multiply(X_9,X_36)))) = commutator(inverse(X_9),multiply(X_9,X_36)) ),
inference(resolve,[$cnf( $equal(multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))),multiply(X_36,multiply(X_9,inverse(multiply(X_9,X_36))))) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
multiply(X_36,multiply(X_9,inverse(multiply(X_9,X_36)))) = commutator(inverse(X_9),multiply(X_9,X_36)),
inference(resolve,[$cnf( $equal(multiply(X_36,multiply(inverse(inverse(X_9)),inverse(multiply(X_9,X_36)))),commutator(inverse(X_9),multiply(X_9,X_36))) )],[refute_0_81,refute_0_92]) ).
cnf(refute_0_94,plain,
multiply(X_34,multiply(X_35,inverse(multiply(X_35,X_34)))) = commutator(inverse(X_35),multiply(X_35,X_34)),
inference(subst,[],[refute_0_93:[bind(X_36,$fot(X_34)),bind(X_9,$fot(X_35))]]) ).
cnf(refute_0_95,plain,
inverse(multiply(X_35,inverse(inverse(X_34)))) = inverse(multiply(X_35,inverse(inverse(X_34)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_35,inverse(inverse(X_34)))))]]) ).
cnf(refute_0_96,plain,
( multiply(X_35,inverse(inverse(X_34))) != multiply(X_35,X_34)
| inverse(multiply(X_35,inverse(inverse(X_34)))) != inverse(multiply(X_35,inverse(inverse(X_34))))
| inverse(multiply(X_35,inverse(inverse(X_34)))) = inverse(multiply(X_35,X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_35,inverse(inverse(X_34)))),inverse(multiply(X_35,inverse(inverse(X_34))))) ),[1,0],$fot(multiply(X_35,X_34))]]) ).
cnf(refute_0_97,plain,
( multiply(X_35,inverse(inverse(X_34))) != multiply(X_35,X_34)
| inverse(multiply(X_35,inverse(inverse(X_34)))) = inverse(multiply(X_35,X_34)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_35,inverse(inverse(X_34)))),inverse(multiply(X_35,inverse(inverse(X_34))))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
inverse(multiply(X_35,inverse(inverse(X_34)))) = inverse(multiply(X_35,X_34)),
inference(resolve,[$cnf( $equal(multiply(X_35,inverse(inverse(X_34))),multiply(X_35,X_34)) )],[refute_0_68,refute_0_97]) ).
cnf(refute_0_99,plain,
multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))) = multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))),
introduced(tautology,[refl,[$fot(multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))))]]) ).
cnf(refute_0_100,plain,
( multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))) != multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))
| inverse(multiply(X_35,inverse(inverse(X_34)))) != inverse(multiply(X_35,X_34))
| multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))) = multiply(X_35,inverse(multiply(X_35,X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))),multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))) ),[1,1],$fot(inverse(multiply(X_35,X_34)))]]) ).
cnf(refute_0_101,plain,
( inverse(multiply(X_35,inverse(inverse(X_34)))) != inverse(multiply(X_35,X_34))
| multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))) = multiply(X_35,inverse(multiply(X_35,X_34))) ),
inference(resolve,[$cnf( $equal(multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))),multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))) = multiply(X_35,inverse(multiply(X_35,X_34))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_35,inverse(inverse(X_34)))),inverse(multiply(X_35,X_34))) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))) = multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))),
introduced(tautology,[refl,[$fot(multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))))]]) ).
cnf(refute_0_104,plain,
( multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))) != multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))))
| multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))) != multiply(X_35,inverse(multiply(X_35,X_34)))
| multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))) = multiply(X_34,multiply(X_35,inverse(multiply(X_35,X_34)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))),multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))))) ),[1,1],$fot(multiply(X_35,inverse(multiply(X_35,X_34))))]]) ).
cnf(refute_0_105,plain,
( multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))) != multiply(X_35,inverse(multiply(X_35,X_34)))
| multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))) = multiply(X_34,multiply(X_35,inverse(multiply(X_35,X_34)))) ),
inference(resolve,[$cnf( $equal(multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))),multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))) = multiply(X_34,multiply(X_35,inverse(multiply(X_35,X_34)))),
inference(resolve,[$cnf( $equal(multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))),multiply(X_35,inverse(multiply(X_35,X_34)))) )],[refute_0_102,refute_0_105]) ).
cnf(refute_0_107,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_108,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_18,refute_0_107]) ).
cnf(refute_0_109,plain,
( multiply(X_34,multiply(X_35,inverse(multiply(X_35,X_34)))) != commutator(inverse(X_35),multiply(X_35,X_34))
| multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))) != multiply(X_34,multiply(X_35,inverse(multiply(X_35,X_34))))
| multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))) = commutator(inverse(X_35),multiply(X_35,X_34)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))))),bind(Y0,$fot(multiply(X_34,multiply(X_35,inverse(multiply(X_35,X_34)))))),bind(Z0,$fot(commutator(inverse(X_35),multiply(X_35,X_34))))]]) ).
cnf(refute_0_110,plain,
( multiply(X_34,multiply(X_35,inverse(multiply(X_35,X_34)))) != commutator(inverse(X_35),multiply(X_35,X_34))
| multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))) = commutator(inverse(X_35),multiply(X_35,X_34)) ),
inference(resolve,[$cnf( $equal(multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))),multiply(X_34,multiply(X_35,inverse(multiply(X_35,X_34))))) )],[refute_0_106,refute_0_109]) ).
cnf(refute_0_111,plain,
multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))) = commutator(inverse(X_35),multiply(X_35,X_34)),
inference(resolve,[$cnf( $equal(multiply(X_34,multiply(X_35,inverse(multiply(X_35,X_34)))),commutator(inverse(X_35),multiply(X_35,X_34))) )],[refute_0_94,refute_0_110]) ).
cnf(refute_0_112,plain,
( multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))) != commutator(inverse(X_35),multiply(X_35,X_34))
| commutator(X_34,multiply(X_35,X_34)) != multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))))
| commutator(X_34,multiply(X_35,X_34)) = commutator(inverse(X_35),multiply(X_35,X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_34,multiply(X_35,X_34)),multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))))) ),[1],$fot(commutator(inverse(X_35),multiply(X_35,X_34)))]]) ).
cnf(refute_0_113,plain,
( commutator(X_34,multiply(X_35,X_34)) != multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))))
| commutator(X_34,multiply(X_35,X_34)) = commutator(inverse(X_35),multiply(X_35,X_34)) ),
inference(resolve,[$cnf( $equal(multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34)))))),commutator(inverse(X_35),multiply(X_35,X_34))) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
( commutator(X_34,multiply(X_35,inverse(inverse(X_34)))) != multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))))
| commutator(X_34,multiply(X_35,X_34)) = commutator(inverse(X_35),multiply(X_35,X_34)) ),
inference(resolve,[$cnf( $equal(commutator(X_34,multiply(X_35,X_34)),multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))))) )],[refute_0_74,refute_0_113]) ).
cnf(refute_0_115,plain,
commutator(X_34,multiply(X_35,X_34)) = commutator(inverse(X_35),multiply(X_35,X_34)),
inference(resolve,[$cnf( $equal(commutator(X_34,multiply(X_35,inverse(inverse(X_34)))),multiply(X_34,multiply(X_35,inverse(multiply(X_35,inverse(inverse(X_34))))))) )],[refute_0_23,refute_0_114]) ).
cnf(refute_0_116,plain,
commutator(commutator(inverse(X_38),Y),multiply(X_38,commutator(inverse(X_38),Y))) = commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y))),
inference(subst,[],[refute_0_115:[bind(X_34,$fot(commutator(inverse(X_38),Y))),bind(X_35,$fot(X_38))]]) ).
cnf(refute_0_117,plain,
multiply(multiply(X_8,multiply(inverse(identity),inverse(X_8))),X_10) = multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10)),
inference(subst,[],[associativity:[bind(X,$fot(X_8)),bind(Y,$fot(multiply(inverse(identity),inverse(X_8)))),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_118,plain,
multiply(identity,multiply(X_4,multiply(inverse(identity),inverse(X_4)))) = multiply(X_4,multiply(inverse(identity),inverse(X_4))),
inference(subst,[],[left_identity:[bind(X,$fot(multiply(X_4,multiply(inverse(identity),inverse(X_4)))))]]) ).
cnf(refute_0_119,plain,
commutator(identity,X_4) = multiply(identity,multiply(X_4,multiply(inverse(identity),inverse(X_4)))),
inference(subst,[],[commutator:[bind(X,$fot(identity)),bind(Y,$fot(X_4))]]) ).
cnf(refute_0_120,plain,
( commutator(identity,X_4) != multiply(identity,multiply(X_4,multiply(inverse(identity),inverse(X_4))))
| multiply(identity,multiply(X_4,multiply(inverse(identity),inverse(X_4)))) = commutator(identity,X_4) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(commutator(identity,X_4))),bind(Y0,$fot(multiply(identity,multiply(X_4,multiply(inverse(identity),inverse(X_4))))))]]) ).
cnf(refute_0_121,plain,
multiply(identity,multiply(X_4,multiply(inverse(identity),inverse(X_4)))) = commutator(identity,X_4),
inference(resolve,[$cnf( $equal(commutator(identity,X_4),multiply(identity,multiply(X_4,multiply(inverse(identity),inverse(X_4))))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
( multiply(identity,multiply(X_4,multiply(inverse(identity),inverse(X_4)))) != multiply(X_4,multiply(inverse(identity),inverse(X_4)))
| multiply(identity,multiply(X_4,multiply(inverse(identity),inverse(X_4)))) != commutator(identity,X_4)
| commutator(identity,X_4) = multiply(X_4,multiply(inverse(identity),inverse(X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,multiply(X_4,multiply(inverse(identity),inverse(X_4)))),multiply(X_4,multiply(inverse(identity),inverse(X_4)))) ),[0],$fot(commutator(identity,X_4))]]) ).
cnf(refute_0_123,plain,
( multiply(identity,multiply(X_4,multiply(inverse(identity),inverse(X_4)))) != multiply(X_4,multiply(inverse(identity),inverse(X_4)))
| commutator(identity,X_4) = multiply(X_4,multiply(inverse(identity),inverse(X_4))) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(X_4,multiply(inverse(identity),inverse(X_4)))),commutator(identity,X_4)) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
commutator(identity,X_4) = multiply(X_4,multiply(inverse(identity),inverse(X_4))),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(X_4,multiply(inverse(identity),inverse(X_4)))),multiply(X_4,multiply(inverse(identity),inverse(X_4)))) )],[refute_0_118,refute_0_123]) ).
cnf(refute_0_125,plain,
commutator(identity,X_8) = multiply(X_8,multiply(inverse(identity),inverse(X_8))),
inference(subst,[],[refute_0_124:[bind(X_4,$fot(X_8))]]) ).
cnf(refute_0_126,plain,
( commutator(identity,X_8) != multiply(X_8,multiply(inverse(identity),inverse(X_8)))
| multiply(X_8,multiply(inverse(identity),inverse(X_8))) = commutator(identity,X_8) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(commutator(identity,X_8))),bind(Y0,$fot(multiply(X_8,multiply(inverse(identity),inverse(X_8)))))]]) ).
cnf(refute_0_127,plain,
multiply(X_8,multiply(inverse(identity),inverse(X_8))) = commutator(identity,X_8),
inference(resolve,[$cnf( $equal(commutator(identity,X_8),multiply(X_8,multiply(inverse(identity),inverse(X_8)))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
( multiply(X_8,multiply(inverse(identity),inverse(X_8))) != commutator(identity,X_8)
| multiply(multiply(X_8,multiply(inverse(identity),inverse(X_8))),X_10) != multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10))
| multiply(commutator(identity,X_8),X_10) = multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_8,multiply(inverse(identity),inverse(X_8))),X_10),multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10))) ),[0,0],$fot(commutator(identity,X_8))]]) ).
cnf(refute_0_129,plain,
( multiply(multiply(X_8,multiply(inverse(identity),inverse(X_8))),X_10) != multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10))
| multiply(commutator(identity,X_8),X_10) = multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_8,multiply(inverse(identity),inverse(X_8))),commutator(identity,X_8)) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
multiply(commutator(identity,X_8),X_10) = multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_8,multiply(inverse(identity),inverse(X_8))),X_10),multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10))) )],[refute_0_117,refute_0_129]) ).
cnf(refute_0_131,plain,
multiply(multiply(inverse(identity),inverse(X_8)),X_10) = multiply(inverse(identity),multiply(inverse(X_8),X_10)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(identity))),bind(Y,$fot(inverse(X_8))),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_132,plain,
multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10)) = multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10)),
introduced(tautology,[refl,[$fot(multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10)))]]) ).
cnf(refute_0_133,plain,
( multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10)) != multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10))
| multiply(multiply(inverse(identity),inverse(X_8)),X_10) != multiply(inverse(identity),multiply(inverse(X_8),X_10))
| multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10)) = multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10)),multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10))) ),[1,1],$fot(multiply(inverse(identity),multiply(inverse(X_8),X_10)))]]) ).
cnf(refute_0_134,plain,
( multiply(multiply(inverse(identity),inverse(X_8)),X_10) != multiply(inverse(identity),multiply(inverse(X_8),X_10))
| multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10)) = multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10))) ),
inference(resolve,[$cnf( $equal(multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10)),multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10)) = multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(identity),inverse(X_8)),X_10),multiply(inverse(identity),multiply(inverse(X_8),X_10))) )],[refute_0_131,refute_0_134]) ).
cnf(refute_0_136,plain,
( multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10)) != multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10)))
| multiply(commutator(identity,X_8),X_10) != multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10))
| multiply(commutator(identity,X_8),X_10) = multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(identity,X_8),X_10),multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10))) ),[1],$fot(multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10))))]]) ).
cnf(refute_0_137,plain,
( multiply(commutator(identity,X_8),X_10) != multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10))
| multiply(commutator(identity,X_8),X_10) = multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10))) ),
inference(resolve,[$cnf( $equal(multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10)),multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10)))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
multiply(commutator(identity,X_8),X_10) = multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10))),
inference(resolve,[$cnf( $equal(multiply(commutator(identity,X_8),X_10),multiply(X_8,multiply(multiply(inverse(identity),inverse(X_8)),X_10))) )],[refute_0_130,refute_0_137]) ).
cnf(refute_0_139,plain,
multiply(identity,multiply(inverse(X_8),X_10)) = multiply(inverse(X_8),X_10),
inference(subst,[],[left_identity:[bind(X,$fot(multiply(inverse(X_8),X_10)))]]) ).
cnf(refute_0_140,plain,
multiply(inverse(inverse(identity)),inverse(identity)) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(inverse(identity)))]]) ).
cnf(refute_0_141,plain,
multiply(multiply(inverse(inverse(identity)),identity),Z) = multiply(inverse(inverse(identity)),multiply(identity,Z)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(inverse(identity)))),bind(Y,$fot(identity))]]) ).
cnf(refute_0_142,plain,
commutator(inverse(X_4),X_4) = multiply(inverse(X_4),multiply(X_4,multiply(inverse(inverse(X_4)),inverse(X_4)))),
inference(subst,[],[commutator:[bind(X,$fot(inverse(X_4))),bind(Y,$fot(X_4))]]) ).
cnf(refute_0_143,plain,
multiply(inverse(inverse(X_4)),inverse(X_4)) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(inverse(X_4)))]]) ).
cnf(refute_0_144,plain,
( multiply(inverse(inverse(X_4)),inverse(X_4)) != identity
| commutator(inverse(X_4),X_4) != multiply(inverse(X_4),multiply(X_4,multiply(inverse(inverse(X_4)),inverse(X_4))))
| commutator(inverse(X_4),X_4) = multiply(inverse(X_4),multiply(X_4,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_4),X_4),multiply(inverse(X_4),multiply(X_4,multiply(inverse(inverse(X_4)),inverse(X_4))))) ),[1,1,1],$fot(identity)]]) ).
cnf(refute_0_145,plain,
( commutator(inverse(X_4),X_4) != multiply(inverse(X_4),multiply(X_4,multiply(inverse(inverse(X_4)),inverse(X_4))))
| commutator(inverse(X_4),X_4) = multiply(inverse(X_4),multiply(X_4,identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_4)),inverse(X_4)),identity) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
commutator(inverse(X_4),X_4) = multiply(inverse(X_4),multiply(X_4,identity)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_4),X_4),multiply(inverse(X_4),multiply(X_4,multiply(inverse(inverse(X_4)),inverse(X_4))))) )],[refute_0_142,refute_0_145]) ).
cnf(refute_0_147,plain,
commutator(inverse(inverse(identity)),inverse(identity)) = multiply(inverse(inverse(identity)),multiply(inverse(identity),identity)),
inference(subst,[],[refute_0_146:[bind(X_4,$fot(inverse(identity)))]]) ).
cnf(refute_0_148,plain,
multiply(inverse(identity),identity) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(identity))]]) ).
cnf(refute_0_149,plain,
( multiply(inverse(identity),identity) != identity
| commutator(inverse(inverse(identity)),inverse(identity)) != multiply(inverse(inverse(identity)),multiply(inverse(identity),identity))
| commutator(inverse(inverse(identity)),inverse(identity)) = multiply(inverse(inverse(identity)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(identity)),inverse(identity)),multiply(inverse(inverse(identity)),multiply(inverse(identity),identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_150,plain,
( commutator(inverse(inverse(identity)),inverse(identity)) != multiply(inverse(inverse(identity)),multiply(inverse(identity),identity))
| commutator(inverse(inverse(identity)),inverse(identity)) = multiply(inverse(inverse(identity)),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),identity),identity) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
commutator(inverse(inverse(identity)),inverse(identity)) = multiply(inverse(inverse(identity)),identity),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(identity)),inverse(identity)),multiply(inverse(inverse(identity)),multiply(inverse(identity),identity))) )],[refute_0_147,refute_0_150]) ).
cnf(refute_0_152,plain,
multiply(multiply(inverse(X_9),X_9),identity) = multiply(inverse(X_9),multiply(X_9,identity)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_9))),bind(Y,$fot(X_9)),bind(Z,$fot(identity))]]) ).
cnf(refute_0_153,plain,
commutator(inverse(X_9),X_9) = multiply(inverse(X_9),multiply(X_9,identity)),
inference(subst,[],[refute_0_146:[bind(X_4,$fot(X_9))]]) ).
cnf(refute_0_154,plain,
( commutator(inverse(X_9),X_9) != multiply(inverse(X_9),multiply(X_9,identity))
| multiply(inverse(X_9),multiply(X_9,identity)) = commutator(inverse(X_9),X_9) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(commutator(inverse(X_9),X_9))),bind(Y0,$fot(multiply(inverse(X_9),multiply(X_9,identity))))]]) ).
cnf(refute_0_155,plain,
multiply(inverse(X_9),multiply(X_9,identity)) = commutator(inverse(X_9),X_9),
inference(resolve,[$cnf( $equal(commutator(inverse(X_9),X_9),multiply(inverse(X_9),multiply(X_9,identity))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
( multiply(multiply(inverse(X_9),X_9),identity) != multiply(inverse(X_9),multiply(X_9,identity))
| multiply(inverse(X_9),multiply(X_9,identity)) != commutator(inverse(X_9),X_9)
| multiply(multiply(inverse(X_9),X_9),identity) = commutator(inverse(X_9),X_9) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(X_9),X_9),identity),commutator(inverse(X_9),X_9)) ),[0],$fot(multiply(inverse(X_9),multiply(X_9,identity)))]]) ).
cnf(refute_0_157,plain,
( multiply(multiply(inverse(X_9),X_9),identity) != multiply(inverse(X_9),multiply(X_9,identity))
| multiply(multiply(inverse(X_9),X_9),identity) = commutator(inverse(X_9),X_9) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_9),multiply(X_9,identity)),commutator(inverse(X_9),X_9)) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
multiply(multiply(inverse(X_9),X_9),identity) = commutator(inverse(X_9),X_9),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_9),X_9),identity),multiply(inverse(X_9),multiply(X_9,identity))) )],[refute_0_152,refute_0_157]) ).
cnf(refute_0_159,plain,
( X_10 != multiply(inverse(X_9),multiply(X_9,X_10))
| multiply(inverse(X_9),multiply(X_9,X_10)) = X_10 ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(X_10)),bind(Y0,$fot(multiply(inverse(X_9),multiply(X_9,X_10))))]]) ).
cnf(refute_0_160,plain,
multiply(inverse(X_9),multiply(X_9,X_10)) = X_10,
inference(resolve,[$cnf( $equal(X_10,multiply(inverse(X_9),multiply(X_9,X_10))) )],[refute_0_14,refute_0_159]) ).
cnf(refute_0_161,plain,
multiply(inverse(X_9),multiply(X_9,identity)) = identity,
inference(subst,[],[refute_0_160:[bind(X_10,$fot(identity))]]) ).
cnf(refute_0_162,plain,
( multiply(multiply(inverse(X_9),X_9),identity) != multiply(inverse(X_9),multiply(X_9,identity))
| multiply(inverse(X_9),multiply(X_9,identity)) != identity
| multiply(multiply(inverse(X_9),X_9),identity) = identity ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(multiply(inverse(X_9),X_9),identity))),bind(Y0,$fot(multiply(inverse(X_9),multiply(X_9,identity)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_163,plain,
( multiply(inverse(X_9),multiply(X_9,identity)) != identity
| multiply(multiply(inverse(X_9),X_9),identity) = identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_9),X_9),identity),multiply(inverse(X_9),multiply(X_9,identity))) )],[refute_0_152,refute_0_162]) ).
cnf(refute_0_164,plain,
multiply(multiply(inverse(X_9),X_9),identity) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(X_9),multiply(X_9,identity)),identity) )],[refute_0_161,refute_0_163]) ).
cnf(refute_0_165,plain,
( multiply(multiply(inverse(X_9),X_9),identity) != commutator(inverse(X_9),X_9)
| multiply(multiply(inverse(X_9),X_9),identity) != identity
| identity = commutator(inverse(X_9),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_9),X_9),identity),commutator(inverse(X_9),X_9)) ),[0],$fot(identity)]]) ).
cnf(refute_0_166,plain,
( multiply(multiply(inverse(X_9),X_9),identity) != commutator(inverse(X_9),X_9)
| identity = commutator(inverse(X_9),X_9) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_9),X_9),identity),identity) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
identity = commutator(inverse(X_9),X_9),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_9),X_9),identity),commutator(inverse(X_9),X_9)) )],[refute_0_158,refute_0_166]) ).
cnf(refute_0_168,plain,
( identity != commutator(inverse(X_9),X_9)
| commutator(inverse(X_9),X_9) = identity ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(inverse(X_9),X_9)))]]) ).
cnf(refute_0_169,plain,
commutator(inverse(X_9),X_9) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(inverse(X_9),X_9)) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
commutator(inverse(inverse(identity)),inverse(identity)) = identity,
inference(subst,[],[refute_0_169:[bind(X_9,$fot(inverse(identity)))]]) ).
cnf(refute_0_171,plain,
( commutator(inverse(inverse(identity)),inverse(identity)) != multiply(inverse(inverse(identity)),identity)
| commutator(inverse(inverse(identity)),inverse(identity)) != identity
| identity = multiply(inverse(inverse(identity)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(identity)),inverse(identity)),multiply(inverse(inverse(identity)),identity)) ),[0],$fot(identity)]]) ).
cnf(refute_0_172,plain,
( commutator(inverse(inverse(identity)),inverse(identity)) != multiply(inverse(inverse(identity)),identity)
| identity = multiply(inverse(inverse(identity)),identity) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(identity)),inverse(identity)),identity) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
identity = multiply(inverse(inverse(identity)),identity),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(identity)),inverse(identity)),multiply(inverse(inverse(identity)),identity)) )],[refute_0_151,refute_0_172]) ).
cnf(refute_0_174,plain,
( identity != multiply(inverse(inverse(identity)),identity)
| multiply(inverse(inverse(identity)),identity) = identity ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(identity)),bind(Y0,$fot(multiply(inverse(inverse(identity)),identity)))]]) ).
cnf(refute_0_175,plain,
multiply(inverse(inverse(identity)),identity) = identity,
inference(resolve,[$cnf( $equal(identity,multiply(inverse(inverse(identity)),identity)) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
( multiply(multiply(inverse(inverse(identity)),identity),Z) != multiply(inverse(inverse(identity)),multiply(identity,Z))
| multiply(inverse(inverse(identity)),identity) != identity
| multiply(identity,Z) = multiply(inverse(inverse(identity)),multiply(identity,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(identity)),identity),Z),multiply(inverse(inverse(identity)),multiply(identity,Z))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_177,plain,
( multiply(multiply(inverse(inverse(identity)),identity),Z) != multiply(inverse(inverse(identity)),multiply(identity,Z))
| multiply(identity,Z) = multiply(inverse(inverse(identity)),multiply(identity,Z)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),identity),identity) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
multiply(identity,Z) = multiply(inverse(inverse(identity)),multiply(identity,Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(identity)),identity),Z),multiply(inverse(inverse(identity)),multiply(identity,Z))) )],[refute_0_141,refute_0_177]) ).
cnf(refute_0_179,plain,
multiply(identity,Z) = Z,
inference(subst,[],[left_identity:[bind(X,$fot(Z))]]) ).
cnf(refute_0_180,plain,
( multiply(identity,Z) != Z
| multiply(identity,Z) != multiply(inverse(inverse(identity)),multiply(identity,Z))
| Z = multiply(inverse(inverse(identity)),multiply(identity,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,Z),multiply(inverse(inverse(identity)),multiply(identity,Z))) ),[0],$fot(Z)]]) ).
cnf(refute_0_181,plain,
( multiply(identity,Z) != multiply(inverse(inverse(identity)),multiply(identity,Z))
| Z = multiply(inverse(inverse(identity)),multiply(identity,Z)) ),
inference(resolve,[$cnf( $equal(multiply(identity,Z),Z) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
multiply(inverse(inverse(identity)),multiply(identity,Z)) = multiply(inverse(inverse(identity)),multiply(identity,Z)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(identity)),multiply(identity,Z)))]]) ).
cnf(refute_0_183,plain,
( multiply(identity,Z) != Z
| multiply(inverse(inverse(identity)),multiply(identity,Z)) != multiply(inverse(inverse(identity)),multiply(identity,Z))
| multiply(inverse(inverse(identity)),multiply(identity,Z)) = multiply(inverse(inverse(identity)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(identity)),multiply(identity,Z)),multiply(inverse(inverse(identity)),multiply(identity,Z))) ),[1,1],$fot(Z)]]) ).
cnf(refute_0_184,plain,
( multiply(identity,Z) != Z
| multiply(inverse(inverse(identity)),multiply(identity,Z)) = multiply(inverse(inverse(identity)),Z) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),multiply(identity,Z)),multiply(inverse(inverse(identity)),multiply(identity,Z))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
multiply(inverse(inverse(identity)),multiply(identity,Z)) = multiply(inverse(inverse(identity)),Z),
inference(resolve,[$cnf( $equal(multiply(identity,Z),Z) )],[refute_0_179,refute_0_184]) ).
cnf(refute_0_186,plain,
( Z != multiply(inverse(inverse(identity)),multiply(identity,Z))
| multiply(inverse(inverse(identity)),multiply(identity,Z)) != multiply(inverse(inverse(identity)),Z)
| Z = multiply(inverse(inverse(identity)),Z) ),
introduced(tautology,[equality,[$cnf( ~ $equal(Z,multiply(inverse(inverse(identity)),Z)) ),[0],$fot(multiply(inverse(inverse(identity)),multiply(identity,Z)))]]) ).
cnf(refute_0_187,plain,
( Z != multiply(inverse(inverse(identity)),multiply(identity,Z))
| Z = multiply(inverse(inverse(identity)),Z) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),multiply(identity,Z)),multiply(inverse(inverse(identity)),Z)) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
( multiply(identity,Z) != multiply(inverse(inverse(identity)),multiply(identity,Z))
| Z = multiply(inverse(inverse(identity)),Z) ),
inference(resolve,[$cnf( $equal(Z,multiply(inverse(inverse(identity)),multiply(identity,Z))) )],[refute_0_181,refute_0_187]) ).
cnf(refute_0_189,plain,
Z = multiply(inverse(inverse(identity)),Z),
inference(resolve,[$cnf( $equal(multiply(identity,Z),multiply(inverse(inverse(identity)),multiply(identity,Z))) )],[refute_0_178,refute_0_188]) ).
cnf(refute_0_190,plain,
inverse(identity) = multiply(inverse(inverse(identity)),inverse(identity)),
inference(subst,[],[refute_0_189:[bind(Z,$fot(inverse(identity)))]]) ).
cnf(refute_0_191,plain,
( inverse(identity) != multiply(inverse(inverse(identity)),inverse(identity))
| multiply(inverse(inverse(identity)),inverse(identity)) = inverse(identity) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(inverse(identity))),bind(Y0,$fot(multiply(inverse(inverse(identity)),inverse(identity))))]]) ).
cnf(refute_0_192,plain,
multiply(inverse(inverse(identity)),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),multiply(inverse(inverse(identity)),inverse(identity))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
( multiply(inverse(inverse(identity)),inverse(identity)) != identity
| multiply(inverse(inverse(identity)),inverse(identity)) != inverse(identity)
| inverse(identity) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(identity)),inverse(identity)),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_194,plain,
( multiply(inverse(inverse(identity)),inverse(identity)) != identity
| inverse(identity) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),inverse(identity)),inverse(identity)) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),inverse(identity)),identity) )],[refute_0_140,refute_0_194]) ).
cnf(refute_0_196,plain,
multiply(inverse(identity),multiply(inverse(X_8),X_10)) = multiply(inverse(identity),multiply(inverse(X_8),X_10)),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),multiply(inverse(X_8),X_10)))]]) ).
cnf(refute_0_197,plain,
( multiply(inverse(identity),multiply(inverse(X_8),X_10)) != multiply(inverse(identity),multiply(inverse(X_8),X_10))
| inverse(identity) != identity
| multiply(inverse(identity),multiply(inverse(X_8),X_10)) = multiply(identity,multiply(inverse(X_8),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),multiply(inverse(X_8),X_10)),multiply(inverse(identity),multiply(inverse(X_8),X_10))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_198,plain,
( inverse(identity) != identity
| multiply(inverse(identity),multiply(inverse(X_8),X_10)) = multiply(identity,multiply(inverse(X_8),X_10)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),multiply(inverse(X_8),X_10)),multiply(inverse(identity),multiply(inverse(X_8),X_10))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
multiply(inverse(identity),multiply(inverse(X_8),X_10)) = multiply(identity,multiply(inverse(X_8),X_10)),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_195,refute_0_198]) ).
cnf(refute_0_200,plain,
( multiply(identity,multiply(inverse(X_8),X_10)) != multiply(inverse(X_8),X_10)
| multiply(inverse(identity),multiply(inverse(X_8),X_10)) != multiply(identity,multiply(inverse(X_8),X_10))
| multiply(inverse(identity),multiply(inverse(X_8),X_10)) = multiply(inverse(X_8),X_10) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(inverse(identity),multiply(inverse(X_8),X_10)))),bind(Y0,$fot(multiply(identity,multiply(inverse(X_8),X_10)))),bind(Z0,$fot(multiply(inverse(X_8),X_10)))]]) ).
cnf(refute_0_201,plain,
( multiply(identity,multiply(inverse(X_8),X_10)) != multiply(inverse(X_8),X_10)
| multiply(inverse(identity),multiply(inverse(X_8),X_10)) = multiply(inverse(X_8),X_10) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),multiply(inverse(X_8),X_10)),multiply(identity,multiply(inverse(X_8),X_10))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
multiply(inverse(identity),multiply(inverse(X_8),X_10)) = multiply(inverse(X_8),X_10),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(inverse(X_8),X_10)),multiply(inverse(X_8),X_10)) )],[refute_0_139,refute_0_201]) ).
cnf(refute_0_203,plain,
multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10))) = multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10))),
introduced(tautology,[refl,[$fot(multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10))))]]) ).
cnf(refute_0_204,plain,
( multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10))) != multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10)))
| multiply(inverse(identity),multiply(inverse(X_8),X_10)) != multiply(inverse(X_8),X_10)
| multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10))) = multiply(X_8,multiply(inverse(X_8),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10))),multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10)))) ),[1,1],$fot(multiply(inverse(X_8),X_10))]]) ).
cnf(refute_0_205,plain,
( multiply(inverse(identity),multiply(inverse(X_8),X_10)) != multiply(inverse(X_8),X_10)
| multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10))) = multiply(X_8,multiply(inverse(X_8),X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10))),multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10)))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10))) = multiply(X_8,multiply(inverse(X_8),X_10)),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),multiply(inverse(X_8),X_10)),multiply(inverse(X_8),X_10)) )],[refute_0_202,refute_0_205]) ).
cnf(refute_0_207,plain,
( multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10))) != multiply(X_8,multiply(inverse(X_8),X_10))
| multiply(commutator(identity,X_8),X_10) != multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10)))
| multiply(commutator(identity,X_8),X_10) = multiply(X_8,multiply(inverse(X_8),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(identity,X_8),X_10),multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10)))) ),[1],$fot(multiply(X_8,multiply(inverse(X_8),X_10)))]]) ).
cnf(refute_0_208,plain,
( multiply(commutator(identity,X_8),X_10) != multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10)))
| multiply(commutator(identity,X_8),X_10) = multiply(X_8,multiply(inverse(X_8),X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10))),multiply(X_8,multiply(inverse(X_8),X_10))) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
multiply(commutator(identity,X_8),X_10) = multiply(X_8,multiply(inverse(X_8),X_10)),
inference(resolve,[$cnf( $equal(multiply(commutator(identity,X_8),X_10),multiply(X_8,multiply(inverse(identity),multiply(inverse(X_8),X_10)))) )],[refute_0_138,refute_0_208]) ).
cnf(refute_0_210,plain,
commutator(inverse(Y),Y) = multiply(inverse(Y),multiply(Y,multiply(inverse(inverse(Y)),inverse(Y)))),
inference(subst,[],[commutator:[bind(X,$fot(inverse(Y)))]]) ).
cnf(refute_0_211,plain,
multiply(inverse(inverse(Y)),inverse(Y)) = multiply(inverse(Y),multiply(Y,multiply(inverse(inverse(Y)),inverse(Y)))),
inference(subst,[],[refute_0_14:[bind(X_10,$fot(multiply(inverse(inverse(Y)),inverse(Y)))),bind(X_9,$fot(Y))]]) ).
cnf(refute_0_212,plain,
( multiply(inverse(inverse(Y)),inverse(Y)) != multiply(inverse(Y),multiply(Y,multiply(inverse(inverse(Y)),inverse(Y))))
| multiply(inverse(Y),multiply(Y,multiply(inverse(inverse(Y)),inverse(Y)))) = multiply(inverse(inverse(Y)),inverse(Y)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(inverse(inverse(Y)),inverse(Y)))),bind(Y0,$fot(multiply(inverse(Y),multiply(Y,multiply(inverse(inverse(Y)),inverse(Y))))))]]) ).
cnf(refute_0_213,plain,
multiply(inverse(Y),multiply(Y,multiply(inverse(inverse(Y)),inverse(Y)))) = multiply(inverse(inverse(Y)),inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),inverse(Y)),multiply(inverse(Y),multiply(Y,multiply(inverse(inverse(Y)),inverse(Y))))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
( multiply(inverse(Y),multiply(Y,multiply(inverse(inverse(Y)),inverse(Y)))) != multiply(inverse(inverse(Y)),inverse(Y))
| commutator(inverse(Y),Y) != multiply(inverse(Y),multiply(Y,multiply(inverse(inverse(Y)),inverse(Y))))
| commutator(inverse(Y),Y) = multiply(inverse(inverse(Y)),inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(Y),Y),multiply(inverse(Y),multiply(Y,multiply(inverse(inverse(Y)),inverse(Y))))) ),[1],$fot(multiply(inverse(inverse(Y)),inverse(Y)))]]) ).
cnf(refute_0_215,plain,
( commutator(inverse(Y),Y) != multiply(inverse(Y),multiply(Y,multiply(inverse(inverse(Y)),inverse(Y))))
| commutator(inverse(Y),Y) = multiply(inverse(inverse(Y)),inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(Y,multiply(inverse(inverse(Y)),inverse(Y)))),multiply(inverse(inverse(Y)),inverse(Y))) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
commutator(inverse(Y),Y) = multiply(inverse(inverse(Y)),inverse(Y)),
inference(resolve,[$cnf( $equal(commutator(inverse(Y),Y),multiply(inverse(Y),multiply(Y,multiply(inverse(inverse(Y)),inverse(Y))))) )],[refute_0_210,refute_0_215]) ).
cnf(refute_0_217,plain,
commutator(inverse(Y),Y) = identity,
inference(subst,[],[refute_0_169:[bind(X_9,$fot(Y))]]) ).
cnf(refute_0_218,plain,
( commutator(inverse(Y),Y) != multiply(inverse(inverse(Y)),inverse(Y))
| commutator(inverse(Y),Y) != identity
| identity = multiply(inverse(inverse(Y)),inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(Y),Y),multiply(inverse(inverse(Y)),inverse(Y))) ),[0],$fot(identity)]]) ).
cnf(refute_0_219,plain,
( commutator(inverse(Y),Y) != multiply(inverse(inverse(Y)),inverse(Y))
| identity = multiply(inverse(inverse(Y)),inverse(Y)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(Y),Y),identity) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
commutator(inverse(inverse(identity)),Y) = multiply(inverse(inverse(identity)),multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))),
inference(subst,[],[commutator:[bind(X,$fot(inverse(inverse(identity))))]]) ).
cnf(refute_0_221,plain,
multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))) = multiply(inverse(inverse(identity)),multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))),
inference(subst,[],[refute_0_189:[bind(Z,$fot(multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))))]]) ).
cnf(refute_0_222,plain,
( multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))) != multiply(inverse(inverse(identity)),multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))))
| multiply(inverse(inverse(identity)),multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))) = multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))))),bind(Y0,$fot(multiply(inverse(inverse(identity)),multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))))))]]) ).
cnf(refute_0_223,plain,
multiply(inverse(inverse(identity)),multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))) = multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))),multiply(inverse(inverse(identity)),multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
( multiply(inverse(inverse(identity)),multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))) != multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))
| commutator(inverse(inverse(identity)),Y) != multiply(inverse(inverse(identity)),multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))))
| commutator(inverse(inverse(identity)),Y) = multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(identity)),Y),multiply(inverse(inverse(identity)),multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))))) ),[1],$fot(multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))))]]) ).
cnf(refute_0_225,plain,
( commutator(inverse(inverse(identity)),Y) != multiply(inverse(inverse(identity)),multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))))
| commutator(inverse(inverse(identity)),Y) = multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))),multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
commutator(inverse(inverse(identity)),Y) = multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(identity)),Y),multiply(inverse(inverse(identity)),multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))))) )],[refute_0_220,refute_0_225]) ).
cnf(refute_0_227,plain,
multiply(inverse(inverse(identity)),multiply(inverse(inverse(identity)),inverse(inverse(identity)))) = identity,
inference(subst,[],[x_cubed_is_identity:[bind(X,$fot(inverse(inverse(identity))))]]) ).
cnf(refute_0_228,plain,
multiply(inverse(inverse(identity)),inverse(inverse(identity))) = multiply(inverse(inverse(identity)),multiply(inverse(inverse(identity)),inverse(inverse(identity)))),
inference(subst,[],[refute_0_189:[bind(Z,$fot(multiply(inverse(inverse(identity)),inverse(inverse(identity)))))]]) ).
cnf(refute_0_229,plain,
( multiply(inverse(inverse(identity)),inverse(inverse(identity))) != multiply(inverse(inverse(identity)),multiply(inverse(inverse(identity)),inverse(inverse(identity))))
| multiply(inverse(inverse(identity)),multiply(inverse(inverse(identity)),inverse(inverse(identity)))) = multiply(inverse(inverse(identity)),inverse(inverse(identity))) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(inverse(inverse(identity)),inverse(inverse(identity))))),bind(Y0,$fot(multiply(inverse(inverse(identity)),multiply(inverse(inverse(identity)),inverse(inverse(identity))))))]]) ).
cnf(refute_0_230,plain,
multiply(inverse(inverse(identity)),multiply(inverse(inverse(identity)),inverse(inverse(identity)))) = multiply(inverse(inverse(identity)),inverse(inverse(identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),inverse(inverse(identity))),multiply(inverse(inverse(identity)),multiply(inverse(inverse(identity)),inverse(inverse(identity))))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
( multiply(inverse(inverse(identity)),multiply(inverse(inverse(identity)),inverse(inverse(identity)))) != multiply(inverse(inverse(identity)),inverse(inverse(identity)))
| multiply(inverse(inverse(identity)),multiply(inverse(inverse(identity)),inverse(inverse(identity)))) != identity
| multiply(inverse(inverse(identity)),inverse(inverse(identity))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(identity)),multiply(inverse(inverse(identity)),inverse(inverse(identity)))),identity) ),[0],$fot(multiply(inverse(inverse(identity)),inverse(inverse(identity))))]]) ).
cnf(refute_0_232,plain,
( multiply(inverse(inverse(identity)),multiply(inverse(inverse(identity)),inverse(inverse(identity)))) != identity
| multiply(inverse(inverse(identity)),inverse(inverse(identity))) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),multiply(inverse(inverse(identity)),inverse(inverse(identity)))),multiply(inverse(inverse(identity)),inverse(inverse(identity)))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
multiply(inverse(inverse(identity)),inverse(inverse(identity))) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),multiply(inverse(inverse(identity)),inverse(inverse(identity)))),identity) )],[refute_0_227,refute_0_232]) ).
cnf(refute_0_234,plain,
( Z != multiply(inverse(inverse(identity)),Z)
| multiply(inverse(inverse(identity)),Z) = Z ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(Z)),bind(Y0,$fot(multiply(inverse(inverse(identity)),Z)))]]) ).
cnf(refute_0_235,plain,
multiply(inverse(inverse(identity)),Z) = Z,
inference(resolve,[$cnf( $equal(Z,multiply(inverse(inverse(identity)),Z)) )],[refute_0_189,refute_0_234]) ).
cnf(refute_0_236,plain,
multiply(inverse(inverse(identity)),inverse(inverse(identity))) = inverse(inverse(identity)),
inference(subst,[],[refute_0_235:[bind(Z,$fot(inverse(inverse(identity))))]]) ).
cnf(refute_0_237,plain,
( multiply(inverse(inverse(identity)),inverse(inverse(identity))) != identity
| multiply(inverse(inverse(identity)),inverse(inverse(identity))) != inverse(inverse(identity))
| inverse(inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(identity)),inverse(inverse(identity))),identity) ),[0],$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_238,plain,
( multiply(inverse(inverse(identity)),inverse(inverse(identity))) != identity
| inverse(inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),inverse(inverse(identity))),inverse(inverse(identity))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
inverse(inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),inverse(inverse(identity))),identity) )],[refute_0_233,refute_0_238]) ).
cnf(refute_0_240,plain,
commutator(inverse(inverse(identity)),Y) = commutator(inverse(inverse(identity)),Y),
introduced(tautology,[refl,[$fot(commutator(inverse(inverse(identity)),Y))]]) ).
cnf(refute_0_241,plain,
( commutator(inverse(inverse(identity)),Y) != commutator(inverse(inverse(identity)),Y)
| inverse(inverse(identity)) != identity
| commutator(inverse(inverse(identity)),Y) = commutator(identity,Y) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(identity)),Y),commutator(inverse(inverse(identity)),Y)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_242,plain,
( inverse(inverse(identity)) != identity
| commutator(inverse(inverse(identity)),Y) = commutator(identity,Y) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(identity)),Y),commutator(inverse(inverse(identity)),Y)) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
commutator(inverse(inverse(identity)),Y) = commutator(identity,Y),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_239,refute_0_242]) ).
cnf(refute_0_244,plain,
( commutator(inverse(inverse(identity)),Y) != multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))
| commutator(inverse(inverse(identity)),Y) != commutator(identity,Y)
| commutator(identity,Y) = multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(identity)),Y),multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))) ),[0],$fot(commutator(identity,Y))]]) ).
cnf(refute_0_245,plain,
( commutator(inverse(inverse(identity)),Y) != multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))
| commutator(identity,Y) = multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(identity)),Y),commutator(identity,Y)) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
multiply(identity,inverse(Y)) = inverse(Y),
inference(subst,[],[left_identity:[bind(X,$fot(inverse(Y)))]]) ).
cnf(refute_0_247,plain,
inverse(inverse(inverse(identity))) = inverse(inverse(inverse(identity))),
introduced(tautology,[refl,[$fot(inverse(inverse(inverse(identity))))]]) ).
cnf(refute_0_248,plain,
( inverse(inverse(identity)) != identity
| inverse(inverse(inverse(identity))) != inverse(inverse(inverse(identity)))
| inverse(inverse(inverse(identity))) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(identity))),inverse(inverse(inverse(identity)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_249,plain,
( inverse(inverse(identity)) != identity
| inverse(inverse(inverse(identity))) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(identity))),inverse(inverse(inverse(identity)))) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
inverse(inverse(inverse(identity))) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_239,refute_0_249]) ).
cnf(refute_0_251,plain,
( inverse(identity) != identity
| inverse(inverse(inverse(identity))) != inverse(identity)
| inverse(inverse(inverse(identity))) = identity ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(inverse(inverse(inverse(identity))))),bind(Y0,$fot(inverse(identity))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_252,plain,
( inverse(identity) != identity
| inverse(inverse(inverse(identity))) = identity ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(identity))),inverse(identity)) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
inverse(inverse(inverse(identity))) = identity,
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_195,refute_0_252]) ).
cnf(refute_0_254,plain,
multiply(inverse(inverse(inverse(identity))),inverse(Y)) = multiply(inverse(inverse(inverse(identity))),inverse(Y)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(inverse(identity))),inverse(Y)))]]) ).
cnf(refute_0_255,plain,
( multiply(inverse(inverse(inverse(identity))),inverse(Y)) != multiply(inverse(inverse(inverse(identity))),inverse(Y))
| inverse(inverse(inverse(identity))) != identity
| multiply(inverse(inverse(inverse(identity))),inverse(Y)) = multiply(identity,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(inverse(identity))),inverse(Y)),multiply(inverse(inverse(inverse(identity))),inverse(Y))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_256,plain,
( inverse(inverse(inverse(identity))) != identity
| multiply(inverse(inverse(inverse(identity))),inverse(Y)) = multiply(identity,inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(identity))),inverse(Y)),multiply(inverse(inverse(inverse(identity))),inverse(Y))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
multiply(inverse(inverse(inverse(identity))),inverse(Y)) = multiply(identity,inverse(Y)),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(identity))),identity) )],[refute_0_253,refute_0_256]) ).
cnf(refute_0_258,plain,
( multiply(identity,inverse(Y)) != inverse(Y)
| multiply(inverse(inverse(inverse(identity))),inverse(Y)) != multiply(identity,inverse(Y))
| multiply(inverse(inverse(inverse(identity))),inverse(Y)) = inverse(Y) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(inverse(inverse(inverse(identity))),inverse(Y)))),bind(Y0,$fot(multiply(identity,inverse(Y)))),bind(Z0,$fot(inverse(Y)))]]) ).
cnf(refute_0_259,plain,
( multiply(identity,inverse(Y)) != inverse(Y)
| multiply(inverse(inverse(inverse(identity))),inverse(Y)) = inverse(Y) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(identity))),inverse(Y)),multiply(identity,inverse(Y))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
multiply(inverse(inverse(inverse(identity))),inverse(Y)) = inverse(Y),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(Y)),inverse(Y)) )],[refute_0_246,refute_0_259]) ).
cnf(refute_0_261,plain,
multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))) = multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))))]]) ).
cnf(refute_0_262,plain,
( multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))) != multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))
| multiply(inverse(inverse(inverse(identity))),inverse(Y)) != inverse(Y)
| multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))) = multiply(Y,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))),multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))) ),[1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_263,plain,
( multiply(inverse(inverse(inverse(identity))),inverse(Y)) != inverse(Y)
| multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))) = multiply(Y,inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))),multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))) = multiply(Y,inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(identity))),inverse(Y)),inverse(Y)) )],[refute_0_260,refute_0_263]) ).
cnf(refute_0_265,plain,
( multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))) != multiply(Y,inverse(Y))
| commutator(identity,Y) != multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))
| commutator(identity,Y) = multiply(Y,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(identity,Y),multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))) ),[1],$fot(multiply(Y,inverse(Y)))]]) ).
cnf(refute_0_266,plain,
( commutator(identity,Y) != multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))
| commutator(identity,Y) = multiply(Y,inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y))),multiply(Y,inverse(Y))) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
( commutator(inverse(inverse(identity)),Y) != multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))
| commutator(identity,Y) = multiply(Y,inverse(Y)) ),
inference(resolve,[$cnf( $equal(commutator(identity,Y),multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))) )],[refute_0_245,refute_0_266]) ).
cnf(refute_0_268,plain,
commutator(identity,Y) = multiply(Y,inverse(Y)),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(identity)),Y),multiply(Y,multiply(inverse(inverse(inverse(identity))),inverse(Y)))) )],[refute_0_226,refute_0_267]) ).
cnf(refute_0_269,plain,
( commutator(identity,Y) != multiply(Y,inverse(Y))
| multiply(Y,inverse(Y)) = commutator(identity,Y) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(commutator(identity,Y))),bind(Y0,$fot(multiply(Y,inverse(Y))))]]) ).
cnf(refute_0_270,plain,
multiply(Y,inverse(Y)) = commutator(identity,Y),
inference(resolve,[$cnf( $equal(commutator(identity,Y),multiply(Y,inverse(Y))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
multiply(inverse(inverse(Y)),inverse(Y)) = multiply(Y,inverse(Y)),
inference(subst,[],[refute_0_43:[bind(X_13,$fot(inverse(Y))),bind(X_14,$fot(Y))]]) ).
cnf(refute_0_272,plain,
( multiply(Y,inverse(Y)) != commutator(identity,Y)
| multiply(inverse(inverse(Y)),inverse(Y)) != multiply(Y,inverse(Y))
| multiply(inverse(inverse(Y)),inverse(Y)) = commutator(identity,Y) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(inverse(inverse(Y)),inverse(Y)))),bind(Y0,$fot(multiply(Y,inverse(Y)))),bind(Z0,$fot(commutator(identity,Y)))]]) ).
cnf(refute_0_273,plain,
( multiply(Y,inverse(Y)) != commutator(identity,Y)
| multiply(inverse(inverse(Y)),inverse(Y)) = commutator(identity,Y) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Y,inverse(Y))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
multiply(inverse(inverse(Y)),inverse(Y)) = commutator(identity,Y),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(Y)),commutator(identity,Y)) )],[refute_0_270,refute_0_273]) ).
cnf(refute_0_275,plain,
( multiply(inverse(inverse(Y)),inverse(Y)) != commutator(identity,Y)
| identity != multiply(inverse(inverse(Y)),inverse(Y))
| identity = commutator(identity,Y) ),
introduced(tautology,[equality,[$cnf( $equal(identity,multiply(inverse(inverse(Y)),inverse(Y))) ),[1],$fot(commutator(identity,Y))]]) ).
cnf(refute_0_276,plain,
( identity != multiply(inverse(inverse(Y)),inverse(Y))
| identity = commutator(identity,Y) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),inverse(Y)),commutator(identity,Y)) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
( commutator(inverse(Y),Y) != multiply(inverse(inverse(Y)),inverse(Y))
| identity = commutator(identity,Y) ),
inference(resolve,[$cnf( $equal(identity,multiply(inverse(inverse(Y)),inverse(Y))) )],[refute_0_219,refute_0_276]) ).
cnf(refute_0_278,plain,
identity = commutator(identity,Y),
inference(resolve,[$cnf( $equal(commutator(inverse(Y),Y),multiply(inverse(inverse(Y)),inverse(Y))) )],[refute_0_216,refute_0_277]) ).
cnf(refute_0_279,plain,
( identity != commutator(identity,Y)
| commutator(identity,Y) = identity ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(identity,Y)))]]) ).
cnf(refute_0_280,plain,
commutator(identity,Y) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(identity,Y)) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
commutator(identity,X_8) = identity,
inference(subst,[],[refute_0_280:[bind(Y,$fot(X_8))]]) ).
cnf(refute_0_282,plain,
multiply(commutator(identity,X_8),X_10) = multiply(commutator(identity,X_8),X_10),
introduced(tautology,[refl,[$fot(multiply(commutator(identity,X_8),X_10))]]) ).
cnf(refute_0_283,plain,
( multiply(commutator(identity,X_8),X_10) != multiply(commutator(identity,X_8),X_10)
| commutator(identity,X_8) != identity
| multiply(commutator(identity,X_8),X_10) = multiply(identity,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(identity,X_8),X_10),multiply(commutator(identity,X_8),X_10)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_284,plain,
( commutator(identity,X_8) != identity
| multiply(commutator(identity,X_8),X_10) = multiply(identity,X_10) ),
inference(resolve,[$cnf( $equal(multiply(commutator(identity,X_8),X_10),multiply(commutator(identity,X_8),X_10)) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
multiply(commutator(identity,X_8),X_10) = multiply(identity,X_10),
inference(resolve,[$cnf( $equal(commutator(identity,X_8),identity) )],[refute_0_281,refute_0_284]) ).
cnf(refute_0_286,plain,
( multiply(commutator(identity,X_8),X_10) != multiply(identity,X_10)
| multiply(identity,X_10) != X_10
| multiply(commutator(identity,X_8),X_10) = X_10 ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(commutator(identity,X_8),X_10))),bind(Y0,$fot(multiply(identity,X_10))),bind(Z0,$fot(X_10))]]) ).
cnf(refute_0_287,plain,
( multiply(identity,X_10) != X_10
| multiply(commutator(identity,X_8),X_10) = X_10 ),
inference(resolve,[$cnf( $equal(multiply(commutator(identity,X_8),X_10),multiply(identity,X_10)) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
multiply(commutator(identity,X_8),X_10) = X_10,
inference(resolve,[$cnf( $equal(multiply(identity,X_10),X_10) )],[refute_0_11,refute_0_287]) ).
cnf(refute_0_289,plain,
( multiply(commutator(identity,X_8),X_10) != X_10
| multiply(commutator(identity,X_8),X_10) != multiply(X_8,multiply(inverse(X_8),X_10))
| X_10 = multiply(X_8,multiply(inverse(X_8),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(identity,X_8),X_10),multiply(X_8,multiply(inverse(X_8),X_10))) ),[0],$fot(X_10)]]) ).
cnf(refute_0_290,plain,
( multiply(commutator(identity,X_8),X_10) != multiply(X_8,multiply(inverse(X_8),X_10))
| X_10 = multiply(X_8,multiply(inverse(X_8),X_10)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(identity,X_8),X_10),X_10) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
X_10 = multiply(X_8,multiply(inverse(X_8),X_10)),
inference(resolve,[$cnf( $equal(multiply(commutator(identity,X_8),X_10),multiply(X_8,multiply(inverse(X_8),X_10))) )],[refute_0_209,refute_0_290]) ).
cnf(refute_0_292,plain,
multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))) = multiply(X_24,multiply(inverse(X_24),multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))))),
inference(subst,[],[refute_0_291:[bind(X_10,$fot(multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))))),bind(X_8,$fot(X_24))]]) ).
cnf(refute_0_293,plain,
commutator(inverse(X_24),Y) = multiply(inverse(X_24),multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y)))),
inference(subst,[],[commutator:[bind(X,$fot(inverse(X_24)))]]) ).
cnf(refute_0_294,plain,
( commutator(inverse(X_24),Y) != multiply(inverse(X_24),multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))))
| multiply(inverse(X_24),multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y)))) = commutator(inverse(X_24),Y) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(commutator(inverse(X_24),Y))),bind(Y0,$fot(multiply(inverse(X_24),multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))))))]]) ).
cnf(refute_0_295,plain,
multiply(inverse(X_24),multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y)))) = commutator(inverse(X_24),Y),
inference(resolve,[$cnf( $equal(commutator(inverse(X_24),Y),multiply(inverse(X_24),multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))))) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
( multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))) != multiply(X_24,multiply(inverse(X_24),multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y)))))
| multiply(inverse(X_24),multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y)))) != commutator(inverse(X_24),Y)
| multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))) = multiply(X_24,commutator(inverse(X_24),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))),multiply(X_24,multiply(inverse(X_24),multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y)))))) ),[1,1],$fot(commutator(inverse(X_24),Y))]]) ).
cnf(refute_0_297,plain,
( multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))) != multiply(X_24,multiply(inverse(X_24),multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y)))))
| multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))) = multiply(X_24,commutator(inverse(X_24),Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_24),multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y)))),commutator(inverse(X_24),Y)) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))) = multiply(X_24,commutator(inverse(X_24),Y)),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))),multiply(X_24,multiply(inverse(X_24),multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y)))))) )],[refute_0_292,refute_0_297]) ).
cnf(refute_0_299,plain,
inverse(inverse(X_24)) = X_24,
inference(subst,[],[refute_0_63:[bind(X_10,$fot(X_24))]]) ).
cnf(refute_0_300,plain,
multiply(inverse(inverse(X_24)),inverse(Y)) = multiply(inverse(inverse(X_24)),inverse(Y)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_24)),inverse(Y)))]]) ).
cnf(refute_0_301,plain,
( multiply(inverse(inverse(X_24)),inverse(Y)) != multiply(inverse(inverse(X_24)),inverse(Y))
| inverse(inverse(X_24)) != X_24
| multiply(inverse(inverse(X_24)),inverse(Y)) = multiply(X_24,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_24)),inverse(Y)),multiply(inverse(inverse(X_24)),inverse(Y))) ),[1,0],$fot(X_24)]]) ).
cnf(refute_0_302,plain,
( inverse(inverse(X_24)) != X_24
| multiply(inverse(inverse(X_24)),inverse(Y)) = multiply(X_24,inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_24)),inverse(Y)),multiply(inverse(inverse(X_24)),inverse(Y))) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
multiply(inverse(inverse(X_24)),inverse(Y)) = multiply(X_24,inverse(Y)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_24)),X_24) )],[refute_0_299,refute_0_302]) ).
cnf(refute_0_304,plain,
multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))) = multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))))]]) ).
cnf(refute_0_305,plain,
( multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))) != multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y)))
| multiply(inverse(inverse(X_24)),inverse(Y)) != multiply(X_24,inverse(Y))
| multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))) = multiply(Y,multiply(X_24,inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))),multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y)))) ),[1,1],$fot(multiply(X_24,inverse(Y)))]]) ).
cnf(refute_0_306,plain,
( multiply(inverse(inverse(X_24)),inverse(Y)) != multiply(X_24,inverse(Y))
| multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))) = multiply(Y,multiply(X_24,inverse(Y))) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))),multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y)))) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))) = multiply(Y,multiply(X_24,inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_24)),inverse(Y)),multiply(X_24,inverse(Y))) )],[refute_0_303,refute_0_306]) ).
cnf(refute_0_308,plain,
( multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))) != multiply(Y,multiply(X_24,inverse(Y)))
| multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))) != multiply(X_24,commutator(inverse(X_24),Y))
| multiply(Y,multiply(X_24,inverse(Y))) = multiply(X_24,commutator(inverse(X_24),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))),multiply(X_24,commutator(inverse(X_24),Y))) ),[0],$fot(multiply(Y,multiply(X_24,inverse(Y))))]]) ).
cnf(refute_0_309,plain,
( multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))) != multiply(X_24,commutator(inverse(X_24),Y))
| multiply(Y,multiply(X_24,inverse(Y))) = multiply(X_24,commutator(inverse(X_24),Y)) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))),multiply(Y,multiply(X_24,inverse(Y)))) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
multiply(Y,multiply(X_24,inverse(Y))) = multiply(X_24,commutator(inverse(X_24),Y)),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(inverse(inverse(X_24)),inverse(Y))),multiply(X_24,commutator(inverse(X_24),Y))) )],[refute_0_298,refute_0_309]) ).
cnf(refute_0_311,plain,
multiply(Y,multiply(X_38,inverse(Y))) = multiply(X_38,commutator(inverse(X_38),Y)),
inference(subst,[],[refute_0_310:[bind(X_24,$fot(X_38))]]) ).
cnf(refute_0_312,plain,
( multiply(Y,multiply(X_38,inverse(Y))) != multiply(X_38,commutator(inverse(X_38),Y))
| multiply(X_38,commutator(inverse(X_38),Y)) = multiply(Y,multiply(X_38,inverse(Y))) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(Y,multiply(X_38,inverse(Y))))),bind(Y0,$fot(multiply(X_38,commutator(inverse(X_38),Y))))]]) ).
cnf(refute_0_313,plain,
multiply(X_38,commutator(inverse(X_38),Y)) = multiply(Y,multiply(X_38,inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_38,inverse(Y))),multiply(X_38,commutator(inverse(X_38),Y))) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
( multiply(X_38,commutator(inverse(X_38),Y)) != multiply(Y,multiply(X_38,inverse(Y)))
| commutator(commutator(inverse(X_38),Y),multiply(X_38,commutator(inverse(X_38),Y))) != commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y)))
| commutator(commutator(inverse(X_38),Y),multiply(Y,multiply(X_38,inverse(Y)))) = commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(inverse(X_38),Y),multiply(X_38,commutator(inverse(X_38),Y))),commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y)))) ),[0,1],$fot(multiply(Y,multiply(X_38,inverse(Y))))]]) ).
cnf(refute_0_315,plain,
( commutator(commutator(inverse(X_38),Y),multiply(X_38,commutator(inverse(X_38),Y))) != commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y)))
| commutator(commutator(inverse(X_38),Y),multiply(Y,multiply(X_38,inverse(Y)))) = commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y))) ),
inference(resolve,[$cnf( $equal(multiply(X_38,commutator(inverse(X_38),Y)),multiply(Y,multiply(X_38,inverse(Y)))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
commutator(commutator(inverse(X_38),Y),multiply(Y,multiply(X_38,inverse(Y)))) = commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y))),
inference(resolve,[$cnf( $equal(commutator(commutator(inverse(X_38),Y),multiply(X_38,commutator(inverse(X_38),Y))),commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y)))) )],[refute_0_116,refute_0_315]) ).
cnf(refute_0_317,plain,
commutator(multiply(X_9,X_10),multiply(inverse(X_9),multiply(X_9,X_10))) = commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))),
inference(subst,[],[refute_0_115:[bind(X_34,$fot(multiply(X_9,X_10))),bind(X_35,$fot(inverse(X_9)))]]) ).
cnf(refute_0_318,plain,
( multiply(inverse(X_9),multiply(X_9,X_10)) != X_10
| commutator(multiply(X_9,X_10),multiply(inverse(X_9),multiply(X_9,X_10))) != commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10)))
| commutator(multiply(X_9,X_10),X_10) = commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_9,X_10),multiply(inverse(X_9),multiply(X_9,X_10))),commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10)))) ),[0,1],$fot(X_10)]]) ).
cnf(refute_0_319,plain,
( commutator(multiply(X_9,X_10),multiply(inverse(X_9),multiply(X_9,X_10))) != commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10)))
| commutator(multiply(X_9,X_10),X_10) = commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_9),multiply(X_9,X_10)),X_10) )],[refute_0_160,refute_0_318]) ).
cnf(refute_0_320,plain,
commutator(multiply(X_9,X_10),X_10) = commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_9,X_10),multiply(inverse(X_9),multiply(X_9,X_10))),commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10)))) )],[refute_0_317,refute_0_319]) ).
cnf(refute_0_321,plain,
commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10))) = commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10))),
introduced(tautology,[refl,[$fot(commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10))))]]) ).
cnf(refute_0_322,plain,
( multiply(inverse(X_9),multiply(X_9,X_10)) != X_10
| commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10))) != commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10)))
| commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10))) = commutator(X_9,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10))),commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10)))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_323,plain,
( multiply(inverse(X_9),multiply(X_9,X_10)) != X_10
| commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10))) = commutator(X_9,X_10) ),
inference(resolve,[$cnf( $equal(commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10))),commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10)))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10))) = commutator(X_9,X_10),
inference(resolve,[$cnf( $equal(multiply(inverse(X_9),multiply(X_9,X_10)),X_10) )],[refute_0_160,refute_0_323]) ).
cnf(refute_0_325,plain,
commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))) = commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))),
introduced(tautology,[refl,[$fot(commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))))]]) ).
cnf(refute_0_326,plain,
( commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))) != commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10)))
| inverse(inverse(X_9)) != X_9
| commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))) = commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))),commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10)))) ),[1,0],$fot(X_9)]]) ).
cnf(refute_0_327,plain,
( inverse(inverse(X_9)) != X_9
| commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))) = commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))),commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10)))) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))) = commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_9)),X_9) )],[refute_0_82,refute_0_327]) ).
cnf(refute_0_329,plain,
( commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10))) != commutator(X_9,X_10)
| commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))) != commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10)))
| commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))) = commutator(X_9,X_10) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))))),bind(Y0,$fot(commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10))))),bind(Z0,$fot(commutator(X_9,X_10)))]]) ).
cnf(refute_0_330,plain,
( commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10))) != commutator(X_9,X_10)
| commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))) = commutator(X_9,X_10) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))),commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10)))) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))) = commutator(X_9,X_10),
inference(resolve,[$cnf( $equal(commutator(X_9,multiply(inverse(X_9),multiply(X_9,X_10))),commutator(X_9,X_10)) )],[refute_0_324,refute_0_330]) ).
cnf(refute_0_332,plain,
( commutator(multiply(X_9,X_10),X_10) != commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10)))
| commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))) != commutator(X_9,X_10)
| commutator(multiply(X_9,X_10),X_10) = commutator(X_9,X_10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(X_9,X_10),X_10),commutator(X_9,X_10)) ),[0],$fot(commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))))]]) ).
cnf(refute_0_333,plain,
( commutator(multiply(X_9,X_10),X_10) != commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10)))
| commutator(multiply(X_9,X_10),X_10) = commutator(X_9,X_10) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10))),commutator(X_9,X_10)) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
commutator(multiply(X_9,X_10),X_10) = commutator(X_9,X_10),
inference(resolve,[$cnf( $equal(commutator(multiply(X_9,X_10),X_10),commutator(inverse(inverse(X_9)),multiply(inverse(X_9),multiply(X_9,X_10)))) )],[refute_0_320,refute_0_333]) ).
cnf(refute_0_335,plain,
commutator(multiply(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41)))),multiply(X_41,multiply(X_42,inverse(X_41)))) = commutator(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41)))),
inference(subst,[],[refute_0_334:[bind(X_10,$fot(multiply(X_41,multiply(X_42,inverse(X_41))))),bind(X_9,$fot(inverse(X_42)))]]) ).
cnf(refute_0_336,plain,
commutator(inverse(X_17),Y) = multiply(inverse(X_17),multiply(Y,multiply(inverse(inverse(X_17)),inverse(Y)))),
inference(subst,[],[commutator:[bind(X,$fot(inverse(X_17)))]]) ).
cnf(refute_0_337,plain,
X_17 = inverse(inverse(X_17)),
inference(subst,[],[refute_0_61:[bind(X_10,$fot(X_17))]]) ).
cnf(refute_0_338,plain,
( X_17 != inverse(inverse(X_17))
| inverse(inverse(X_17)) = X_17 ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(X_17)),bind(Y0,$fot(inverse(inverse(X_17))))]]) ).
cnf(refute_0_339,plain,
inverse(inverse(X_17)) = X_17,
inference(resolve,[$cnf( $equal(X_17,inverse(inverse(X_17))) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
( commutator(inverse(X_17),Y) != multiply(inverse(X_17),multiply(Y,multiply(inverse(inverse(X_17)),inverse(Y))))
| inverse(inverse(X_17)) != X_17
| commutator(inverse(X_17),Y) = multiply(inverse(X_17),multiply(Y,multiply(X_17,inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_17),Y),multiply(inverse(X_17),multiply(Y,multiply(inverse(inverse(X_17)),inverse(Y))))) ),[1,1,1,0],$fot(X_17)]]) ).
cnf(refute_0_341,plain,
( commutator(inverse(X_17),Y) != multiply(inverse(X_17),multiply(Y,multiply(inverse(inverse(X_17)),inverse(Y))))
| commutator(inverse(X_17),Y) = multiply(inverse(X_17),multiply(Y,multiply(X_17,inverse(Y)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_17)),X_17) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
commutator(inverse(X_17),Y) = multiply(inverse(X_17),multiply(Y,multiply(X_17,inverse(Y)))),
inference(resolve,[$cnf( $equal(commutator(inverse(X_17),Y),multiply(inverse(X_17),multiply(Y,multiply(inverse(inverse(X_17)),inverse(Y))))) )],[refute_0_336,refute_0_341]) ).
cnf(refute_0_343,plain,
commutator(inverse(X_42),X_41) = multiply(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41)))),
inference(subst,[],[refute_0_342:[bind(Y,$fot(X_41)),bind(X_17,$fot(X_42))]]) ).
cnf(refute_0_344,plain,
( commutator(inverse(X_42),X_41) != multiply(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41))))
| multiply(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41)))) = commutator(inverse(X_42),X_41) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(commutator(inverse(X_42),X_41))),bind(Y0,$fot(multiply(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41))))))]]) ).
cnf(refute_0_345,plain,
multiply(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41)))) = commutator(inverse(X_42),X_41),
inference(resolve,[$cnf( $equal(commutator(inverse(X_42),X_41),multiply(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41))))) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
( multiply(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41)))) != commutator(inverse(X_42),X_41)
| commutator(multiply(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41)))),multiply(X_41,multiply(X_42,inverse(X_41)))) != commutator(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41))))
| commutator(commutator(inverse(X_42),X_41),multiply(X_41,multiply(X_42,inverse(X_41)))) = commutator(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41)))),multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41))))) ),[0,0],$fot(commutator(inverse(X_42),X_41))]]) ).
cnf(refute_0_347,plain,
( commutator(multiply(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41)))),multiply(X_41,multiply(X_42,inverse(X_41)))) != commutator(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41))))
| commutator(commutator(inverse(X_42),X_41),multiply(X_41,multiply(X_42,inverse(X_41)))) = commutator(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
commutator(commutator(inverse(X_42),X_41),multiply(X_41,multiply(X_42,inverse(X_41)))) = commutator(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41)))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41)))),multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41))))) )],[refute_0_335,refute_0_347]) ).
cnf(refute_0_349,plain,
commutator(commutator(inverse(X_38),Y),multiply(Y,multiply(X_38,inverse(Y)))) = commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))),
inference(subst,[],[refute_0_348:[bind(X_41,$fot(Y)),bind(X_42,$fot(X_38))]]) ).
cnf(refute_0_350,plain,
( commutator(commutator(inverse(X_38),Y),multiply(Y,multiply(X_38,inverse(Y)))) != commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y))))
| commutator(commutator(inverse(X_38),Y),multiply(Y,multiply(X_38,inverse(Y)))) != commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y)))
| commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))) = commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(inverse(X_38),Y),multiply(Y,multiply(X_38,inverse(Y)))),commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y)))) ),[0],$fot(commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))))]]) ).
cnf(refute_0_351,plain,
( commutator(commutator(inverse(X_38),Y),multiply(Y,multiply(X_38,inverse(Y)))) != commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y)))
| commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))) = commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(inverse(X_38),Y),multiply(Y,multiply(X_38,inverse(Y)))),commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y))))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))) = commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y))),
inference(resolve,[$cnf( $equal(commutator(commutator(inverse(X_38),Y),multiply(Y,multiply(X_38,inverse(Y)))),commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y)))) )],[refute_0_316,refute_0_351]) ).
cnf(refute_0_353,plain,
commutator(X_54,X_53) = multiply(inverse(inverse(multiply(X_54,X_53))),multiply(inverse(multiply(X_54,X_53)),commutator(X_54,X_53))),
inference(subst,[],[refute_0_14:[bind(X_10,$fot(commutator(X_54,X_53))),bind(X_9,$fot(inverse(multiply(X_54,X_53))))]]) ).
cnf(refute_0_354,plain,
multiply(Y,multiply(inverse(X_14),inverse(Y))) = multiply(inverse(X_14),multiply(X_14,multiply(Y,multiply(inverse(X_14),inverse(Y))))),
inference(subst,[],[refute_0_14:[bind(X_10,$fot(multiply(Y,multiply(inverse(X_14),inverse(Y))))),bind(X_9,$fot(X_14))]]) ).
cnf(refute_0_355,plain,
commutator(X_14,Y) = multiply(X_14,multiply(Y,multiply(inverse(X_14),inverse(Y)))),
inference(subst,[],[commutator:[bind(X,$fot(X_14))]]) ).
cnf(refute_0_356,plain,
( commutator(X_14,Y) != multiply(X_14,multiply(Y,multiply(inverse(X_14),inverse(Y))))
| multiply(X_14,multiply(Y,multiply(inverse(X_14),inverse(Y)))) = commutator(X_14,Y) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(commutator(X_14,Y))),bind(Y0,$fot(multiply(X_14,multiply(Y,multiply(inverse(X_14),inverse(Y))))))]]) ).
cnf(refute_0_357,plain,
multiply(X_14,multiply(Y,multiply(inverse(X_14),inverse(Y)))) = commutator(X_14,Y),
inference(resolve,[$cnf( $equal(commutator(X_14,Y),multiply(X_14,multiply(Y,multiply(inverse(X_14),inverse(Y))))) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
( multiply(Y,multiply(inverse(X_14),inverse(Y))) != multiply(inverse(X_14),multiply(X_14,multiply(Y,multiply(inverse(X_14),inverse(Y)))))
| multiply(X_14,multiply(Y,multiply(inverse(X_14),inverse(Y)))) != commutator(X_14,Y)
| multiply(Y,multiply(inverse(X_14),inverse(Y))) = multiply(inverse(X_14),commutator(X_14,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,multiply(inverse(X_14),inverse(Y))),multiply(inverse(X_14),multiply(X_14,multiply(Y,multiply(inverse(X_14),inverse(Y)))))) ),[1,1],$fot(commutator(X_14,Y))]]) ).
cnf(refute_0_359,plain,
( multiply(Y,multiply(inverse(X_14),inverse(Y))) != multiply(inverse(X_14),multiply(X_14,multiply(Y,multiply(inverse(X_14),inverse(Y)))))
| multiply(Y,multiply(inverse(X_14),inverse(Y))) = multiply(inverse(X_14),commutator(X_14,Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_14,multiply(Y,multiply(inverse(X_14),inverse(Y)))),commutator(X_14,Y)) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
multiply(Y,multiply(inverse(X_14),inverse(Y))) = multiply(inverse(X_14),commutator(X_14,Y)),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(inverse(X_14),inverse(Y))),multiply(inverse(X_14),multiply(X_14,multiply(Y,multiply(inverse(X_14),inverse(Y)))))) )],[refute_0_354,refute_0_359]) ).
cnf(refute_0_361,plain,
multiply(multiply(X,Y),multiply(X,Y)) = multiply(X,multiply(Y,multiply(X,Y))),
inference(subst,[],[associativity:[bind(Z,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_362,plain,
multiply(multiply(X,Y),multiply(X,Y)) = inverse(multiply(X,Y)),
inference(subst,[],[refute_0_53:[bind(X_14,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_363,plain,
( multiply(multiply(X,Y),multiply(X,Y)) != multiply(X,multiply(Y,multiply(X,Y)))
| multiply(multiply(X,Y),multiply(X,Y)) != inverse(multiply(X,Y))
| inverse(multiply(X,Y)) = multiply(X,multiply(Y,multiply(X,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,Y),multiply(X,Y)),multiply(X,multiply(Y,multiply(X,Y)))) ),[0],$fot(inverse(multiply(X,Y)))]]) ).
cnf(refute_0_364,plain,
( multiply(multiply(X,Y),multiply(X,Y)) != multiply(X,multiply(Y,multiply(X,Y)))
| inverse(multiply(X,Y)) = multiply(X,multiply(Y,multiply(X,Y))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),multiply(X,Y)),inverse(multiply(X,Y))) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
inverse(multiply(X,Y)) = multiply(X,multiply(Y,multiply(X,Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),multiply(X,Y)),multiply(X,multiply(Y,multiply(X,Y)))) )],[refute_0_361,refute_0_364]) ).
cnf(refute_0_366,plain,
inverse(multiply(X_27,multiply(X_24,inverse(X_27)))) = multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_27,multiply(X_24,inverse(X_27))))),
inference(subst,[],[refute_0_365:[bind(X,$fot(X_27)),bind(Y,$fot(multiply(X_24,inverse(X_27))))]]) ).
cnf(refute_0_367,plain,
multiply(X_27,multiply(X_24,inverse(X_27))) = multiply(X_24,commutator(inverse(X_24),X_27)),
inference(subst,[],[refute_0_310:[bind(Y,$fot(X_27))]]) ).
cnf(refute_0_368,plain,
( multiply(X_27,multiply(X_24,inverse(X_27))) != multiply(X_24,commutator(inverse(X_24),X_27))
| inverse(multiply(X_27,multiply(X_24,inverse(X_27)))) != multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_27,multiply(X_24,inverse(X_27)))))
| inverse(multiply(X_27,multiply(X_24,inverse(X_27)))) = multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_27,multiply(X_24,inverse(X_27)))),multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_27,multiply(X_24,inverse(X_27)))))) ),[1,1,1],$fot(multiply(X_24,commutator(inverse(X_24),X_27)))]]) ).
cnf(refute_0_369,plain,
( inverse(multiply(X_27,multiply(X_24,inverse(X_27)))) != multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_27,multiply(X_24,inverse(X_27)))))
| inverse(multiply(X_27,multiply(X_24,inverse(X_27)))) = multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27)))) ),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(X_24,inverse(X_27))),multiply(X_24,commutator(inverse(X_24),X_27))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
inverse(multiply(X_27,multiply(X_24,inverse(X_27)))) = multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_27,multiply(X_24,inverse(X_27)))),multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_27,multiply(X_24,inverse(X_27)))))) )],[refute_0_366,refute_0_369]) ).
cnf(refute_0_371,plain,
multiply(multiply(Y,Y),Z) = multiply(Y,multiply(Y,Z)),
inference(subst,[],[associativity:[bind(X,$fot(Y))]]) ).
cnf(refute_0_372,plain,
multiply(Y,Y) = inverse(Y),
inference(subst,[],[refute_0_53:[bind(X_14,$fot(Y))]]) ).
cnf(refute_0_373,plain,
( multiply(Y,Y) != inverse(Y)
| multiply(multiply(Y,Y),Z) != multiply(Y,multiply(Y,Z))
| multiply(inverse(Y),Z) = multiply(Y,multiply(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(Y,Y),Z),multiply(Y,multiply(Y,Z))) ),[0,0],$fot(inverse(Y))]]) ).
cnf(refute_0_374,plain,
( multiply(multiply(Y,Y),Z) != multiply(Y,multiply(Y,Z))
| multiply(inverse(Y),Z) = multiply(Y,multiply(Y,Z)) ),
inference(resolve,[$cnf( $equal(multiply(Y,Y),inverse(Y)) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
multiply(inverse(Y),Z) = multiply(Y,multiply(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,Y),Z),multiply(Y,multiply(Y,Z))) )],[refute_0_371,refute_0_374]) ).
cnf(refute_0_376,plain,
( multiply(inverse(Y),Z) != multiply(Y,multiply(Y,Z))
| multiply(Y,multiply(Y,Z)) = multiply(inverse(Y),Z) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(inverse(Y),Z))),bind(Y0,$fot(multiply(Y,multiply(Y,Z))))]]) ).
cnf(refute_0_377,plain,
multiply(Y,multiply(Y,Z)) = multiply(inverse(Y),Z),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),Z),multiply(Y,multiply(Y,Z))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
multiply(X_24,multiply(X_24,inverse(X_27))) = multiply(inverse(X_24),inverse(X_27)),
inference(subst,[],[refute_0_377:[bind(Y,$fot(X_24)),bind(Z,$fot(inverse(X_27)))]]) ).
cnf(refute_0_379,plain,
multiply(X_26,inverse(X_9)) = multiply(inverse(X_9),multiply(X_9,multiply(X_26,inverse(X_9)))),
inference(subst,[],[refute_0_14:[bind(X_10,$fot(multiply(X_26,inverse(X_9))))]]) ).
cnf(refute_0_380,plain,
multiply(X_9,multiply(X_26,inverse(X_9))) = multiply(X_26,commutator(inverse(X_26),X_9)),
inference(subst,[],[refute_0_310:[bind(Y,$fot(X_9)),bind(X_24,$fot(X_26))]]) ).
cnf(refute_0_381,plain,
( multiply(X_26,inverse(X_9)) != multiply(inverse(X_9),multiply(X_9,multiply(X_26,inverse(X_9))))
| multiply(X_9,multiply(X_26,inverse(X_9))) != multiply(X_26,commutator(inverse(X_26),X_9))
| multiply(X_26,inverse(X_9)) = multiply(inverse(X_9),multiply(X_26,commutator(inverse(X_26),X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_26,inverse(X_9)),multiply(inverse(X_9),multiply(X_9,multiply(X_26,inverse(X_9))))) ),[1,1],$fot(multiply(X_26,commutator(inverse(X_26),X_9)))]]) ).
cnf(refute_0_382,plain,
( multiply(X_26,inverse(X_9)) != multiply(inverse(X_9),multiply(X_9,multiply(X_26,inverse(X_9))))
| multiply(X_26,inverse(X_9)) = multiply(inverse(X_9),multiply(X_26,commutator(inverse(X_26),X_9))) ),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(X_26,inverse(X_9))),multiply(X_26,commutator(inverse(X_26),X_9))) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
multiply(X_26,inverse(X_9)) = multiply(inverse(X_9),multiply(X_26,commutator(inverse(X_26),X_9))),
inference(resolve,[$cnf( $equal(multiply(X_26,inverse(X_9)),multiply(inverse(X_9),multiply(X_9,multiply(X_26,inverse(X_9))))) )],[refute_0_379,refute_0_382]) ).
cnf(refute_0_384,plain,
( multiply(X_26,inverse(X_9)) != multiply(inverse(X_9),multiply(X_26,commutator(inverse(X_26),X_9)))
| multiply(inverse(X_9),multiply(X_26,commutator(inverse(X_26),X_9))) = multiply(X_26,inverse(X_9)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(X_26,inverse(X_9)))),bind(Y0,$fot(multiply(inverse(X_9),multiply(X_26,commutator(inverse(X_26),X_9)))))]]) ).
cnf(refute_0_385,plain,
multiply(inverse(X_9),multiply(X_26,commutator(inverse(X_26),X_9))) = multiply(X_26,inverse(X_9)),
inference(resolve,[$cnf( $equal(multiply(X_26,inverse(X_9)),multiply(inverse(X_9),multiply(X_26,commutator(inverse(X_26),X_9)))) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27))) = multiply(X_24,inverse(X_27)),
inference(subst,[],[refute_0_385:[bind(X_26,$fot(X_24)),bind(X_9,$fot(X_27))]]) ).
cnf(refute_0_387,plain,
multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27)))) = multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27)))),
introduced(tautology,[refl,[$fot(multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27)))))]]) ).
cnf(refute_0_388,plain,
( multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27)))) != multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27))))
| multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27))) != multiply(X_24,inverse(X_27))
| multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27)))) = multiply(X_24,multiply(X_24,inverse(X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27)))),multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27))))) ),[1,1],$fot(multiply(X_24,inverse(X_27)))]]) ).
cnf(refute_0_389,plain,
( multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27))) != multiply(X_24,inverse(X_27))
| multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27)))) = multiply(X_24,multiply(X_24,inverse(X_27))) ),
inference(resolve,[$cnf( $equal(multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27)))),multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27))))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27)))) = multiply(X_24,multiply(X_24,inverse(X_27))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27))),multiply(X_24,inverse(X_27))) )],[refute_0_386,refute_0_389]) ).
cnf(refute_0_391,plain,
( multiply(X_24,multiply(X_24,inverse(X_27))) != multiply(inverse(X_24),inverse(X_27))
| multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27)))) != multiply(X_24,multiply(X_24,inverse(X_27)))
| multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27)))) = multiply(inverse(X_24),inverse(X_27)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27)))))),bind(Y0,$fot(multiply(X_24,multiply(X_24,inverse(X_27))))),bind(Z0,$fot(multiply(inverse(X_24),inverse(X_27))))]]) ).
cnf(refute_0_392,plain,
( multiply(X_24,multiply(X_24,inverse(X_27))) != multiply(inverse(X_24),inverse(X_27))
| multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27)))) = multiply(inverse(X_24),inverse(X_27)) ),
inference(resolve,[$cnf( $equal(multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27)))),multiply(X_24,multiply(X_24,inverse(X_27)))) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27)))) = multiply(inverse(X_24),inverse(X_27)),
inference(resolve,[$cnf( $equal(multiply(X_24,multiply(X_24,inverse(X_27))),multiply(inverse(X_24),inverse(X_27))) )],[refute_0_378,refute_0_392]) ).
cnf(refute_0_394,plain,
multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27))) = multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27)))),
inference(subst,[],[associativity:[bind(X,$fot(X_24)),bind(Y,$fot(inverse(X_27))),bind(Z,$fot(multiply(X_24,commutator(inverse(X_24),X_27))))]]) ).
cnf(refute_0_395,plain,
( multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27)))) != multiply(inverse(X_24),inverse(X_27))
| multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27))) != multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27))))
| multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27))) = multiply(inverse(X_24),inverse(X_27)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27))))),bind(Y0,$fot(multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27)))))),bind(Z0,$fot(multiply(inverse(X_24),inverse(X_27))))]]) ).
cnf(refute_0_396,plain,
( multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27)))) != multiply(inverse(X_24),inverse(X_27))
| multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27))) = multiply(inverse(X_24),inverse(X_27)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27))),multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27))))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27))) = multiply(inverse(X_24),inverse(X_27)),
inference(resolve,[$cnf( $equal(multiply(X_24,multiply(inverse(X_27),multiply(X_24,commutator(inverse(X_24),X_27)))),multiply(inverse(X_24),inverse(X_27))) )],[refute_0_393,refute_0_396]) ).
cnf(refute_0_398,plain,
multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27)))) = multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27)))),
introduced(tautology,[refl,[$fot(multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27)))))]]) ).
cnf(refute_0_399,plain,
( multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27)))) != multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27))))
| multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27))) != multiply(inverse(X_24),inverse(X_27))
| multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27)))) = multiply(X_27,multiply(inverse(X_24),inverse(X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27)))),multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27))))) ),[1,1],$fot(multiply(inverse(X_24),inverse(X_27)))]]) ).
cnf(refute_0_400,plain,
( multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27))) != multiply(inverse(X_24),inverse(X_27))
| multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27)))) = multiply(X_27,multiply(inverse(X_24),inverse(X_27))) ),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27)))),multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27))))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27)))) = multiply(X_27,multiply(inverse(X_24),inverse(X_27))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27))),multiply(inverse(X_24),inverse(X_27))) )],[refute_0_397,refute_0_400]) ).
cnf(refute_0_402,plain,
( multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27)))) != multiply(X_27,multiply(inverse(X_24),inverse(X_27)))
| inverse(multiply(X_27,multiply(X_24,inverse(X_27)))) != multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27))))
| inverse(multiply(X_27,multiply(X_24,inverse(X_27)))) = multiply(X_27,multiply(inverse(X_24),inverse(X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_27,multiply(X_24,inverse(X_27)))),multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27))))) ),[1],$fot(multiply(X_27,multiply(inverse(X_24),inverse(X_27))))]]) ).
cnf(refute_0_403,plain,
( inverse(multiply(X_27,multiply(X_24,inverse(X_27)))) != multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27))))
| inverse(multiply(X_27,multiply(X_24,inverse(X_27)))) = multiply(X_27,multiply(inverse(X_24),inverse(X_27))) ),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27)))),multiply(X_27,multiply(inverse(X_24),inverse(X_27)))) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
inverse(multiply(X_27,multiply(X_24,inverse(X_27)))) = multiply(X_27,multiply(inverse(X_24),inverse(X_27))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_27,multiply(X_24,inverse(X_27)))),multiply(X_27,multiply(multiply(X_24,inverse(X_27)),multiply(X_24,commutator(inverse(X_24),X_27))))) )],[refute_0_370,refute_0_403]) ).
cnf(refute_0_405,plain,
( inverse(multiply(X_27,multiply(X_24,inverse(X_27)))) != multiply(X_27,multiply(inverse(X_24),inverse(X_27)))
| multiply(X_27,multiply(inverse(X_24),inverse(X_27))) = inverse(multiply(X_27,multiply(X_24,inverse(X_27)))) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(inverse(multiply(X_27,multiply(X_24,inverse(X_27)))))),bind(Y0,$fot(multiply(X_27,multiply(inverse(X_24),inverse(X_27)))))]]) ).
cnf(refute_0_406,plain,
multiply(X_27,multiply(inverse(X_24),inverse(X_27))) = inverse(multiply(X_27,multiply(X_24,inverse(X_27)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_27,multiply(X_24,inverse(X_27)))),multiply(X_27,multiply(inverse(X_24),inverse(X_27)))) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
multiply(Y,multiply(inverse(X_14),inverse(Y))) = inverse(multiply(Y,multiply(X_14,inverse(Y)))),
inference(subst,[],[refute_0_406:[bind(X_24,$fot(X_14)),bind(X_27,$fot(Y))]]) ).
cnf(refute_0_408,plain,
( multiply(Y,multiply(inverse(X_14),inverse(Y))) != multiply(inverse(X_14),commutator(X_14,Y))
| multiply(Y,multiply(inverse(X_14),inverse(Y))) != inverse(multiply(Y,multiply(X_14,inverse(Y))))
| inverse(multiply(Y,multiply(X_14,inverse(Y)))) = multiply(inverse(X_14),commutator(X_14,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,multiply(inverse(X_14),inverse(Y))),multiply(inverse(X_14),commutator(X_14,Y))) ),[0],$fot(inverse(multiply(Y,multiply(X_14,inverse(Y)))))]]) ).
cnf(refute_0_409,plain,
( multiply(Y,multiply(inverse(X_14),inverse(Y))) != multiply(inverse(X_14),commutator(X_14,Y))
| inverse(multiply(Y,multiply(X_14,inverse(Y)))) = multiply(inverse(X_14),commutator(X_14,Y)) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(inverse(X_14),inverse(Y))),inverse(multiply(Y,multiply(X_14,inverse(Y))))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
inverse(multiply(Y,multiply(X_14,inverse(Y)))) = multiply(inverse(X_14),commutator(X_14,Y)),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(inverse(X_14),inverse(Y))),multiply(inverse(X_14),commutator(X_14,Y))) )],[refute_0_360,refute_0_409]) ).
cnf(refute_0_411,plain,
inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))) = multiply(inverse(multiply(X_9,X_47)),commutator(multiply(X_9,X_47),X_47)),
inference(subst,[],[refute_0_410:[bind(Y,$fot(X_47)),bind(X_14,$fot(multiply(X_9,X_47)))]]) ).
cnf(refute_0_412,plain,
commutator(multiply(X_9,X_47),X_47) = commutator(X_9,X_47),
inference(subst,[],[refute_0_334:[bind(X_10,$fot(X_47))]]) ).
cnf(refute_0_413,plain,
( commutator(multiply(X_9,X_47),X_47) != commutator(X_9,X_47)
| inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))) != multiply(inverse(multiply(X_9,X_47)),commutator(multiply(X_9,X_47),X_47))
| inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))) = multiply(inverse(multiply(X_9,X_47)),commutator(X_9,X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))),multiply(inverse(multiply(X_9,X_47)),commutator(multiply(X_9,X_47),X_47))) ),[1,1],$fot(commutator(X_9,X_47))]]) ).
cnf(refute_0_414,plain,
( inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))) != multiply(inverse(multiply(X_9,X_47)),commutator(multiply(X_9,X_47),X_47))
| inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))) = multiply(inverse(multiply(X_9,X_47)),commutator(X_9,X_47)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_9,X_47),X_47),commutator(X_9,X_47)) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))) = multiply(inverse(multiply(X_9,X_47)),commutator(X_9,X_47)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))),multiply(inverse(multiply(X_9,X_47)),commutator(multiply(X_9,X_47),X_47))) )],[refute_0_411,refute_0_414]) ).
cnf(refute_0_416,plain,
multiply(X_9,identity) = X_9,
inference(subst,[],[refute_0_49:[bind(X_13,$fot(X_9))]]) ).
cnf(refute_0_417,plain,
( commutator(identity,Y) != multiply(Y,inverse(Y))
| commutator(identity,Y) != identity
| identity = multiply(Y,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(identity,Y),multiply(Y,inverse(Y))) ),[0],$fot(identity)]]) ).
cnf(refute_0_418,plain,
( commutator(identity,Y) != multiply(Y,inverse(Y))
| identity = multiply(Y,inverse(Y)) ),
inference(resolve,[$cnf( $equal(commutator(identity,Y),identity) )],[refute_0_280,refute_0_417]) ).
cnf(refute_0_419,plain,
identity = multiply(Y,inverse(Y)),
inference(resolve,[$cnf( $equal(commutator(identity,Y),multiply(Y,inverse(Y))) )],[refute_0_268,refute_0_418]) ).
cnf(refute_0_420,plain,
( identity != multiply(Y,inverse(Y))
| multiply(Y,inverse(Y)) = identity ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(identity)),bind(Y0,$fot(multiply(Y,inverse(Y))))]]) ).
cnf(refute_0_421,plain,
multiply(Y,inverse(Y)) = identity,
inference(resolve,[$cnf( $equal(identity,multiply(Y,inverse(Y))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
multiply(X_47,inverse(X_47)) = identity,
inference(subst,[],[refute_0_421:[bind(Y,$fot(X_47))]]) ).
cnf(refute_0_423,plain,
multiply(X_9,multiply(X_47,inverse(X_47))) = multiply(X_9,multiply(X_47,inverse(X_47))),
introduced(tautology,[refl,[$fot(multiply(X_9,multiply(X_47,inverse(X_47))))]]) ).
cnf(refute_0_424,plain,
( multiply(X_47,inverse(X_47)) != identity
| multiply(X_9,multiply(X_47,inverse(X_47))) != multiply(X_9,multiply(X_47,inverse(X_47)))
| multiply(X_9,multiply(X_47,inverse(X_47))) = multiply(X_9,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_9,multiply(X_47,inverse(X_47))),multiply(X_9,multiply(X_47,inverse(X_47)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_425,plain,
( multiply(X_47,inverse(X_47)) != identity
| multiply(X_9,multiply(X_47,inverse(X_47))) = multiply(X_9,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(X_47,inverse(X_47))),multiply(X_9,multiply(X_47,inverse(X_47)))) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
multiply(X_9,multiply(X_47,inverse(X_47))) = multiply(X_9,identity),
inference(resolve,[$cnf( $equal(multiply(X_47,inverse(X_47)),identity) )],[refute_0_422,refute_0_425]) ).
cnf(refute_0_427,plain,
( multiply(X_9,multiply(X_47,inverse(X_47))) != multiply(X_9,identity)
| multiply(X_9,identity) != X_9
| multiply(X_9,multiply(X_47,inverse(X_47))) = X_9 ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(X_9,multiply(X_47,inverse(X_47))))),bind(Y0,$fot(multiply(X_9,identity))),bind(Z0,$fot(X_9))]]) ).
cnf(refute_0_428,plain,
( multiply(X_9,identity) != X_9
| multiply(X_9,multiply(X_47,inverse(X_47))) = X_9 ),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(X_47,inverse(X_47))),multiply(X_9,identity)) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
multiply(X_9,multiply(X_47,inverse(X_47))) = X_9,
inference(resolve,[$cnf( $equal(multiply(X_9,identity),X_9) )],[refute_0_416,refute_0_428]) ).
cnf(refute_0_430,plain,
multiply(multiply(X_9,X_47),inverse(X_47)) = multiply(X_9,multiply(X_47,inverse(X_47))),
inference(subst,[],[associativity:[bind(X,$fot(X_9)),bind(Y,$fot(X_47)),bind(Z,$fot(inverse(X_47)))]]) ).
cnf(refute_0_431,plain,
( multiply(X_9,multiply(X_47,inverse(X_47))) != X_9
| multiply(multiply(X_9,X_47),inverse(X_47)) != multiply(X_9,multiply(X_47,inverse(X_47)))
| multiply(multiply(X_9,X_47),inverse(X_47)) = X_9 ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(multiply(X_9,X_47),inverse(X_47)))),bind(Y0,$fot(multiply(X_9,multiply(X_47,inverse(X_47))))),bind(Z0,$fot(X_9))]]) ).
cnf(refute_0_432,plain,
( multiply(X_9,multiply(X_47,inverse(X_47))) != X_9
| multiply(multiply(X_9,X_47),inverse(X_47)) = X_9 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_9,X_47),inverse(X_47)),multiply(X_9,multiply(X_47,inverse(X_47)))) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
multiply(multiply(X_9,X_47),inverse(X_47)) = X_9,
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(X_47,inverse(X_47))),X_9) )],[refute_0_429,refute_0_432]) ).
cnf(refute_0_434,plain,
multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47))) = multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47))),
introduced(tautology,[refl,[$fot(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47))))]]) ).
cnf(refute_0_435,plain,
( multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47))) != multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))
| multiply(multiply(X_9,X_47),inverse(X_47)) != X_9
| multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47))) = multiply(X_47,X_9) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47))),multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))) ),[1,1],$fot(X_9)]]) ).
cnf(refute_0_436,plain,
( multiply(multiply(X_9,X_47),inverse(X_47)) != X_9
| multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47))) = multiply(X_47,X_9) ),
inference(resolve,[$cnf( $equal(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47))),multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47))) = multiply(X_47,X_9),
inference(resolve,[$cnf( $equal(multiply(multiply(X_9,X_47),inverse(X_47)),X_9) )],[refute_0_433,refute_0_436]) ).
cnf(refute_0_438,plain,
inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))) = inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))))]]) ).
cnf(refute_0_439,plain,
( multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47))) != multiply(X_47,X_9)
| inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))) != inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47))))
| inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))) = inverse(multiply(X_47,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))),inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47))))) ),[1,0],$fot(multiply(X_47,X_9))]]) ).
cnf(refute_0_440,plain,
( multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47))) != multiply(X_47,X_9)
| inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))) = inverse(multiply(X_47,X_9)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))),inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47))))) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))) = inverse(multiply(X_47,X_9)),
inference(resolve,[$cnf( $equal(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47))),multiply(X_47,X_9)) )],[refute_0_437,refute_0_440]) ).
cnf(refute_0_442,plain,
( inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))) != multiply(inverse(multiply(X_9,X_47)),commutator(X_9,X_47))
| inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))) != inverse(multiply(X_47,X_9))
| inverse(multiply(X_47,X_9)) = multiply(inverse(multiply(X_9,X_47)),commutator(X_9,X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))),multiply(inverse(multiply(X_9,X_47)),commutator(X_9,X_47))) ),[0],$fot(inverse(multiply(X_47,X_9)))]]) ).
cnf(refute_0_443,plain,
( inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))) != multiply(inverse(multiply(X_9,X_47)),commutator(X_9,X_47))
| inverse(multiply(X_47,X_9)) = multiply(inverse(multiply(X_9,X_47)),commutator(X_9,X_47)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))),inverse(multiply(X_47,X_9))) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
inverse(multiply(X_47,X_9)) = multiply(inverse(multiply(X_9,X_47)),commutator(X_9,X_47)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_47,multiply(multiply(X_9,X_47),inverse(X_47)))),multiply(inverse(multiply(X_9,X_47)),commutator(X_9,X_47))) )],[refute_0_415,refute_0_443]) ).
cnf(refute_0_445,plain,
inverse(multiply(X_53,X_54)) = multiply(inverse(multiply(X_54,X_53)),commutator(X_54,X_53)),
inference(subst,[],[refute_0_444:[bind(X_47,$fot(X_53)),bind(X_9,$fot(X_54))]]) ).
cnf(refute_0_446,plain,
( inverse(multiply(X_53,X_54)) != multiply(inverse(multiply(X_54,X_53)),commutator(X_54,X_53))
| multiply(inverse(multiply(X_54,X_53)),commutator(X_54,X_53)) = inverse(multiply(X_53,X_54)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(inverse(multiply(X_53,X_54)))),bind(Y0,$fot(multiply(inverse(multiply(X_54,X_53)),commutator(X_54,X_53))))]]) ).
cnf(refute_0_447,plain,
multiply(inverse(multiply(X_54,X_53)),commutator(X_54,X_53)) = inverse(multiply(X_53,X_54)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_53,X_54)),multiply(inverse(multiply(X_54,X_53)),commutator(X_54,X_53))) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
( multiply(inverse(multiply(X_54,X_53)),commutator(X_54,X_53)) != inverse(multiply(X_53,X_54))
| commutator(X_54,X_53) != multiply(inverse(inverse(multiply(X_54,X_53))),multiply(inverse(multiply(X_54,X_53)),commutator(X_54,X_53)))
| commutator(X_54,X_53) = multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_54,X_53),multiply(inverse(inverse(multiply(X_54,X_53))),multiply(inverse(multiply(X_54,X_53)),commutator(X_54,X_53)))) ),[1,1],$fot(inverse(multiply(X_53,X_54)))]]) ).
cnf(refute_0_449,plain,
( commutator(X_54,X_53) != multiply(inverse(inverse(multiply(X_54,X_53))),multiply(inverse(multiply(X_54,X_53)),commutator(X_54,X_53)))
| commutator(X_54,X_53) = multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_54,X_53)),commutator(X_54,X_53)),inverse(multiply(X_53,X_54))) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
commutator(X_54,X_53) = multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54))),
inference(resolve,[$cnf( $equal(commutator(X_54,X_53),multiply(inverse(inverse(multiply(X_54,X_53))),multiply(inverse(multiply(X_54,X_53)),commutator(X_54,X_53)))) )],[refute_0_353,refute_0_449]) ).
cnf(refute_0_451,plain,
multiply(X_54,multiply(X_53,inverse(multiply(X_53,X_54)))) = commutator(inverse(X_53),multiply(X_53,X_54)),
inference(subst,[],[refute_0_93:[bind(X_36,$fot(X_54)),bind(X_9,$fot(X_53))]]) ).
cnf(refute_0_452,plain,
multiply(multiply(X_54,X_53),inverse(multiply(X_53,X_54))) = multiply(X_54,multiply(X_53,inverse(multiply(X_53,X_54)))),
inference(subst,[],[associativity:[bind(X,$fot(X_54)),bind(Y,$fot(X_53)),bind(Z,$fot(inverse(multiply(X_53,X_54))))]]) ).
cnf(refute_0_453,plain,
( multiply(X_54,multiply(X_53,inverse(multiply(X_53,X_54)))) != commutator(inverse(X_53),multiply(X_53,X_54))
| multiply(multiply(X_54,X_53),inverse(multiply(X_53,X_54))) != multiply(X_54,multiply(X_53,inverse(multiply(X_53,X_54))))
| multiply(multiply(X_54,X_53),inverse(multiply(X_53,X_54))) = commutator(inverse(X_53),multiply(X_53,X_54)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(multiply(X_54,X_53),inverse(multiply(X_53,X_54))))),bind(Y0,$fot(multiply(X_54,multiply(X_53,inverse(multiply(X_53,X_54)))))),bind(Z0,$fot(commutator(inverse(X_53),multiply(X_53,X_54))))]]) ).
cnf(refute_0_454,plain,
( multiply(X_54,multiply(X_53,inverse(multiply(X_53,X_54)))) != commutator(inverse(X_53),multiply(X_53,X_54))
| multiply(multiply(X_54,X_53),inverse(multiply(X_53,X_54))) = commutator(inverse(X_53),multiply(X_53,X_54)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_54,X_53),inverse(multiply(X_53,X_54))),multiply(X_54,multiply(X_53,inverse(multiply(X_53,X_54))))) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
multiply(multiply(X_54,X_53),inverse(multiply(X_53,X_54))) = commutator(inverse(X_53),multiply(X_53,X_54)),
inference(resolve,[$cnf( $equal(multiply(X_54,multiply(X_53,inverse(multiply(X_53,X_54)))),commutator(inverse(X_53),multiply(X_53,X_54))) )],[refute_0_451,refute_0_454]) ).
cnf(refute_0_456,plain,
inverse(inverse(multiply(X_54,X_53))) = multiply(X_54,X_53),
inference(subst,[],[refute_0_63:[bind(X_10,$fot(multiply(X_54,X_53)))]]) ).
cnf(refute_0_457,plain,
multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54))) = multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54))),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54))))]]) ).
cnf(refute_0_458,plain,
( multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54))) != multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54)))
| inverse(inverse(multiply(X_54,X_53))) != multiply(X_54,X_53)
| multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54))) = multiply(multiply(X_54,X_53),inverse(multiply(X_53,X_54))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54))),multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54)))) ),[1,0],$fot(multiply(X_54,X_53))]]) ).
cnf(refute_0_459,plain,
( inverse(inverse(multiply(X_54,X_53))) != multiply(X_54,X_53)
| multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54))) = multiply(multiply(X_54,X_53),inverse(multiply(X_53,X_54))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54))),multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54)))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54))) = multiply(multiply(X_54,X_53),inverse(multiply(X_53,X_54))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_54,X_53))),multiply(X_54,X_53)) )],[refute_0_456,refute_0_459]) ).
cnf(refute_0_461,plain,
( multiply(multiply(X_54,X_53),inverse(multiply(X_53,X_54))) != commutator(inverse(X_53),multiply(X_53,X_54))
| multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54))) != multiply(multiply(X_54,X_53),inverse(multiply(X_53,X_54)))
| multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54))) = commutator(inverse(X_53),multiply(X_53,X_54)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54))))),bind(Y0,$fot(multiply(multiply(X_54,X_53),inverse(multiply(X_53,X_54))))),bind(Z0,$fot(commutator(inverse(X_53),multiply(X_53,X_54))))]]) ).
cnf(refute_0_462,plain,
( multiply(multiply(X_54,X_53),inverse(multiply(X_53,X_54))) != commutator(inverse(X_53),multiply(X_53,X_54))
| multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54))) = commutator(inverse(X_53),multiply(X_53,X_54)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54))),multiply(multiply(X_54,X_53),inverse(multiply(X_53,X_54)))) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54))) = commutator(inverse(X_53),multiply(X_53,X_54)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_54,X_53),inverse(multiply(X_53,X_54))),commutator(inverse(X_53),multiply(X_53,X_54))) )],[refute_0_455,refute_0_462]) ).
cnf(refute_0_464,plain,
( multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54))) != commutator(inverse(X_53),multiply(X_53,X_54))
| commutator(X_54,X_53) != multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54)))
| commutator(X_54,X_53) = commutator(inverse(X_53),multiply(X_53,X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_54,X_53),multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54)))) ),[1],$fot(commutator(inverse(X_53),multiply(X_53,X_54)))]]) ).
cnf(refute_0_465,plain,
( commutator(X_54,X_53) != multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54)))
| commutator(X_54,X_53) = commutator(inverse(X_53),multiply(X_53,X_54)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54))),commutator(inverse(X_53),multiply(X_53,X_54))) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
commutator(X_54,X_53) = commutator(inverse(X_53),multiply(X_53,X_54)),
inference(resolve,[$cnf( $equal(commutator(X_54,X_53),multiply(inverse(inverse(multiply(X_54,X_53))),inverse(multiply(X_53,X_54)))) )],[refute_0_450,refute_0_465]) ).
cnf(refute_0_467,plain,
( commutator(X_54,X_53) != commutator(inverse(X_53),multiply(X_53,X_54))
| commutator(inverse(X_53),multiply(X_53,X_54)) = commutator(X_54,X_53) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(commutator(X_54,X_53))),bind(Y0,$fot(commutator(inverse(X_53),multiply(X_53,X_54))))]]) ).
cnf(refute_0_468,plain,
commutator(inverse(X_53),multiply(X_53,X_54)) = commutator(X_54,X_53),
inference(resolve,[$cnf( $equal(commutator(X_54,X_53),commutator(inverse(X_53),multiply(X_53,X_54))) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y))) = commutator(commutator(inverse(X_38),Y),X_38),
inference(subst,[],[refute_0_468:[bind(X_53,$fot(X_38)),bind(X_54,$fot(commutator(inverse(X_38),Y)))]]) ).
cnf(refute_0_470,plain,
( commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))) != commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y)))
| commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y))) != commutator(commutator(inverse(X_38),Y),X_38)
| commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))) = commutator(commutator(inverse(X_38),Y),X_38) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))),commutator(commutator(inverse(X_38),Y),X_38)) ),[0],$fot(commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y))))]]) ).
cnf(refute_0_471,plain,
( commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))) != commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y)))
| commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))) = commutator(commutator(inverse(X_38),Y),X_38) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y))),commutator(commutator(inverse(X_38),Y),X_38)) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))) = commutator(commutator(inverse(X_38),Y),X_38),
inference(resolve,[$cnf( $equal(commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))),commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),Y)))) )],[refute_0_352,refute_0_471]) ).
cnf(refute_0_473,plain,
commutator(X_37,multiply(inverse(X_10),X_37)) = commutator(inverse(inverse(X_10)),multiply(inverse(X_10),X_37)),
inference(subst,[],[refute_0_115:[bind(X_34,$fot(X_37)),bind(X_35,$fot(inverse(X_10)))]]) ).
cnf(refute_0_474,plain,
( commutator(X_37,multiply(inverse(X_10),X_37)) != commutator(inverse(inverse(X_10)),multiply(inverse(X_10),X_37))
| inverse(inverse(X_10)) != X_10
| commutator(X_37,multiply(inverse(X_10),X_37)) = commutator(X_10,multiply(inverse(X_10),X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_37,multiply(inverse(X_10),X_37)),commutator(inverse(inverse(X_10)),multiply(inverse(X_10),X_37))) ),[1,0],$fot(X_10)]]) ).
cnf(refute_0_475,plain,
( commutator(X_37,multiply(inverse(X_10),X_37)) != commutator(inverse(inverse(X_10)),multiply(inverse(X_10),X_37))
| commutator(X_37,multiply(inverse(X_10),X_37)) = commutator(X_10,multiply(inverse(X_10),X_37)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_63,refute_0_474]) ).
cnf(refute_0_476,plain,
commutator(X_37,multiply(inverse(X_10),X_37)) = commutator(X_10,multiply(inverse(X_10),X_37)),
inference(resolve,[$cnf( $equal(commutator(X_37,multiply(inverse(X_10),X_37)),commutator(inverse(inverse(X_10)),multiply(inverse(X_10),X_37))) )],[refute_0_473,refute_0_475]) ).
cnf(refute_0_477,plain,
commutator(commutator(inverse(inverse(X_45)),Y),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))) = commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))),
inference(subst,[],[refute_0_476:[bind(X_10,$fot(X_45)),bind(X_37,$fot(commutator(inverse(inverse(X_45)),Y)))]]) ).
cnf(refute_0_478,plain,
multiply(Y,multiply(inverse(X_45),inverse(Y))) = multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)),
inference(subst,[],[refute_0_310:[bind(X_24,$fot(inverse(X_45)))]]) ).
cnf(refute_0_479,plain,
( multiply(Y,multiply(inverse(X_45),inverse(Y))) != multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))
| multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)) = multiply(Y,multiply(inverse(X_45),inverse(Y))) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(Y,multiply(inverse(X_45),inverse(Y))))),bind(Y0,$fot(multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))))]]) ).
cnf(refute_0_480,plain,
multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)) = multiply(Y,multiply(inverse(X_45),inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(inverse(X_45),inverse(Y))),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
( multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)) != multiply(Y,multiply(inverse(X_45),inverse(Y)))
| commutator(commutator(inverse(inverse(X_45)),Y),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))) != commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)))
| commutator(commutator(inverse(inverse(X_45)),Y),multiply(Y,multiply(inverse(X_45),inverse(Y)))) = commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(inverse(inverse(X_45)),Y),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))),commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)))) ),[0,1],$fot(multiply(Y,multiply(inverse(X_45),inverse(Y))))]]) ).
cnf(refute_0_482,plain,
( commutator(commutator(inverse(inverse(X_45)),Y),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))) != commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)))
| commutator(commutator(inverse(inverse(X_45)),Y),multiply(Y,multiply(inverse(X_45),inverse(Y)))) = commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)),multiply(Y,multiply(inverse(X_45),inverse(Y)))) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
commutator(commutator(inverse(inverse(X_45)),Y),multiply(Y,multiply(inverse(X_45),inverse(Y)))) = commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))),
inference(resolve,[$cnf( $equal(commutator(commutator(inverse(inverse(X_45)),Y),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))),commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)))) )],[refute_0_477,refute_0_482]) ).
cnf(refute_0_484,plain,
multiply(Y,multiply(inverse(X_45),inverse(Y))) = inverse(multiply(Y,multiply(X_45,inverse(Y)))),
inference(subst,[],[refute_0_406:[bind(X_24,$fot(X_45)),bind(X_27,$fot(Y))]]) ).
cnf(refute_0_485,plain,
commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y)))) = commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y)))),
introduced(tautology,[refl,[$fot(commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y)))))]]) ).
cnf(refute_0_486,plain,
( multiply(Y,multiply(inverse(X_45),inverse(Y))) != inverse(multiply(Y,multiply(X_45,inverse(Y))))
| commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y)))) != commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y))))
| commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y)))) = commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y)))),commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y))))) ),[1,1],$fot(inverse(multiply(Y,multiply(X_45,inverse(Y)))))]]) ).
cnf(refute_0_487,plain,
( multiply(Y,multiply(inverse(X_45),inverse(Y))) != inverse(multiply(Y,multiply(X_45,inverse(Y))))
| commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y)))) = commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) ),
inference(resolve,[$cnf( $equal(commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y)))),commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y))))) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y)))) = commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(inverse(X_45),inverse(Y))),inverse(multiply(Y,multiply(X_45,inverse(Y))))) )],[refute_0_484,refute_0_487]) ).
cnf(refute_0_489,plain,
inverse(inverse(X_45)) = X_45,
inference(subst,[],[refute_0_63:[bind(X_10,$fot(X_45))]]) ).
cnf(refute_0_490,plain,
commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y)))) = commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y)))),
introduced(tautology,[refl,[$fot(commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y)))))]]) ).
cnf(refute_0_491,plain,
( commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y)))) != commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y))))
| inverse(inverse(X_45)) != X_45
| commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y)))) = commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y)))),commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y))))) ),[1,0],$fot(X_45)]]) ).
cnf(refute_0_492,plain,
( inverse(inverse(X_45)) != X_45
| commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y)))) = commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y)))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y)))),commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y))))) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y)))) = commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y)))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_45)),X_45) )],[refute_0_489,refute_0_492]) ).
cnf(refute_0_494,plain,
( commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y)))) != commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y)))))
| commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y)))) != commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y))))
| commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y)))) = commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y)))))),bind(Y0,$fot(commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y)))))),bind(Z0,$fot(commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y)))))))]]) ).
cnf(refute_0_495,plain,
( commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y)))) != commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y)))))
| commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y)))) = commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y)))),commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y))))) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y)))) = commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))),
inference(resolve,[$cnf( $equal(commutator(X_45,multiply(Y,multiply(inverse(X_45),inverse(Y)))),commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y)))))) )],[refute_0_488,refute_0_495]) ).
cnf(refute_0_497,plain,
commutator(commutator(inverse(inverse(X_45)),Y),multiply(Y,multiply(inverse(X_45),inverse(Y)))) = commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y)))),
inference(subst,[],[refute_0_348:[bind(X_41,$fot(Y)),bind(X_42,$fot(inverse(X_45)))]]) ).
cnf(refute_0_498,plain,
( commutator(commutator(inverse(inverse(X_45)),Y),multiply(Y,multiply(inverse(X_45),inverse(Y)))) != commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y))))
| commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y)))) != commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y)))))
| commutator(commutator(inverse(inverse(X_45)),Y),multiply(Y,multiply(inverse(X_45),inverse(Y)))) = commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(commutator(commutator(inverse(inverse(X_45)),Y),multiply(Y,multiply(inverse(X_45),inverse(Y)))))),bind(Y0,$fot(commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y)))))),bind(Z0,$fot(commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y)))))))]]) ).
cnf(refute_0_499,plain,
( commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y)))) != commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y)))))
| commutator(commutator(inverse(inverse(X_45)),Y),multiply(Y,multiply(inverse(X_45),inverse(Y)))) = commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(inverse(inverse(X_45)),Y),multiply(Y,multiply(inverse(X_45),inverse(Y)))),commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y))))) )],[refute_0_497,refute_0_498]) ).
cnf(refute_0_500,plain,
commutator(commutator(inverse(inverse(X_45)),Y),multiply(Y,multiply(inverse(X_45),inverse(Y)))) = commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_45)),multiply(Y,multiply(inverse(X_45),inverse(Y)))),commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y)))))) )],[refute_0_496,refute_0_499]) ).
cnf(refute_0_501,plain,
( commutator(commutator(inverse(inverse(X_45)),Y),multiply(Y,multiply(inverse(X_45),inverse(Y)))) != commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)))
| commutator(commutator(inverse(inverse(X_45)),Y),multiply(Y,multiply(inverse(X_45),inverse(Y)))) != commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y)))))
| commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) = commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(inverse(inverse(X_45)),Y),multiply(Y,multiply(inverse(X_45),inverse(Y)))),commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)))) ),[0],$fot(commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))))]]) ).
cnf(refute_0_502,plain,
( commutator(commutator(inverse(inverse(X_45)),Y),multiply(Y,multiply(inverse(X_45),inverse(Y)))) != commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)))
| commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) = commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(inverse(inverse(X_45)),Y),multiply(Y,multiply(inverse(X_45),inverse(Y)))),commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y)))))) )],[refute_0_500,refute_0_501]) ).
cnf(refute_0_503,plain,
commutator(inverse(inverse(X_45)),Y) = commutator(inverse(inverse(X_45)),Y),
introduced(tautology,[refl,[$fot(commutator(inverse(inverse(X_45)),Y))]]) ).
cnf(refute_0_504,plain,
( commutator(inverse(inverse(X_45)),Y) != commutator(inverse(inverse(X_45)),Y)
| inverse(inverse(X_45)) != X_45
| commutator(inverse(inverse(X_45)),Y) = commutator(X_45,Y) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(X_45)),Y),commutator(inverse(inverse(X_45)),Y)) ),[1,0],$fot(X_45)]]) ).
cnf(refute_0_505,plain,
( inverse(inverse(X_45)) != X_45
| commutator(inverse(inverse(X_45)),Y) = commutator(X_45,Y) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_45)),Y),commutator(inverse(inverse(X_45)),Y)) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
commutator(inverse(inverse(X_45)),Y) = commutator(X_45,Y),
inference(resolve,[$cnf( $equal(inverse(inverse(X_45)),X_45) )],[refute_0_489,refute_0_505]) ).
cnf(refute_0_507,plain,
multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)) = multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)))]]) ).
cnf(refute_0_508,plain,
( multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)) != multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))
| commutator(inverse(inverse(X_45)),Y) != commutator(X_45,Y)
| multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)) = multiply(inverse(X_45),commutator(X_45,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))) ),[1,1],$fot(commutator(X_45,Y))]]) ).
cnf(refute_0_509,plain,
( commutator(inverse(inverse(X_45)),Y) != commutator(X_45,Y)
| multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)) = multiply(inverse(X_45),commutator(X_45,Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)) = multiply(inverse(X_45),commutator(X_45,Y)),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_45)),Y),commutator(X_45,Y)) )],[refute_0_506,refute_0_509]) ).
cnf(refute_0_511,plain,
commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))) = commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))),
introduced(tautology,[refl,[$fot(commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))))]]) ).
cnf(refute_0_512,plain,
( multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)) != multiply(inverse(X_45),commutator(X_45,Y))
| commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))) != commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)))
| commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))) = commutator(X_45,multiply(inverse(X_45),commutator(X_45,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))),commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)))) ),[1,1],$fot(multiply(inverse(X_45),commutator(X_45,Y)))]]) ).
cnf(refute_0_513,plain,
( multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)) != multiply(inverse(X_45),commutator(X_45,Y))
| commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))) = commutator(X_45,multiply(inverse(X_45),commutator(X_45,Y))) ),
inference(resolve,[$cnf( $equal(commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))),commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)))) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))) = commutator(X_45,multiply(inverse(X_45),commutator(X_45,Y))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)),multiply(inverse(X_45),commutator(X_45,Y))) )],[refute_0_510,refute_0_513]) ).
cnf(refute_0_515,plain,
( commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))) != commutator(X_45,multiply(inverse(X_45),commutator(X_45,Y)))
| commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) != commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)))
| commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) = commutator(X_45,multiply(inverse(X_45),commutator(X_45,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))),commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)))) ),[1],$fot(commutator(X_45,multiply(inverse(X_45),commutator(X_45,Y))))]]) ).
cnf(refute_0_516,plain,
( commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) != commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)))
| commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) = commutator(X_45,multiply(inverse(X_45),commutator(X_45,Y))) ),
inference(resolve,[$cnf( $equal(commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y))),commutator(X_45,multiply(inverse(X_45),commutator(X_45,Y)))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
( commutator(commutator(inverse(inverse(X_45)),Y),multiply(Y,multiply(inverse(X_45),inverse(Y)))) != commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)))
| commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) = commutator(X_45,multiply(inverse(X_45),commutator(X_45,Y))) ),
inference(resolve,[$cnf( $equal(commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))),commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)))) )],[refute_0_502,refute_0_516]) ).
cnf(refute_0_518,plain,
commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) = commutator(X_45,multiply(inverse(X_45),commutator(X_45,Y))),
inference(resolve,[$cnf( $equal(commutator(commutator(inverse(inverse(X_45)),Y),multiply(Y,multiply(inverse(X_45),inverse(Y)))),commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),Y)))) )],[refute_0_483,refute_0_517]) ).
cnf(refute_0_519,plain,
commutator(inverse(X_35),multiply(X_35,X_34)) = commutator(X_34,X_35),
inference(subst,[],[refute_0_468:[bind(X_53,$fot(X_35)),bind(X_54,$fot(X_34))]]) ).
cnf(refute_0_520,plain,
( commutator(X_34,multiply(X_35,X_34)) != commutator(inverse(X_35),multiply(X_35,X_34))
| commutator(inverse(X_35),multiply(X_35,X_34)) != commutator(X_34,X_35)
| commutator(X_34,multiply(X_35,X_34)) = commutator(X_34,X_35) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_34,multiply(X_35,X_34)),commutator(X_34,X_35)) ),[0],$fot(commutator(inverse(X_35),multiply(X_35,X_34)))]]) ).
cnf(refute_0_521,plain,
( commutator(X_34,multiply(X_35,X_34)) != commutator(inverse(X_35),multiply(X_35,X_34))
| commutator(X_34,multiply(X_35,X_34)) = commutator(X_34,X_35) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_35),multiply(X_35,X_34)),commutator(X_34,X_35)) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
commutator(X_34,multiply(X_35,X_34)) = commutator(X_34,X_35),
inference(resolve,[$cnf( $equal(commutator(X_34,multiply(X_35,X_34)),commutator(inverse(X_35),multiply(X_35,X_34))) )],[refute_0_115,refute_0_521]) ).
cnf(refute_0_523,plain,
commutator(X_37,multiply(inverse(X_10),X_37)) = commutator(X_37,inverse(X_10)),
inference(subst,[],[refute_0_522:[bind(X_34,$fot(X_37)),bind(X_35,$fot(inverse(X_10)))]]) ).
cnf(refute_0_524,plain,
( commutator(X_37,multiply(inverse(X_10),X_37)) != commutator(X_10,multiply(inverse(X_10),X_37))
| commutator(X_37,multiply(inverse(X_10),X_37)) != commutator(X_37,inverse(X_10))
| commutator(X_37,inverse(X_10)) = commutator(X_10,multiply(inverse(X_10),X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_37,multiply(inverse(X_10),X_37)),commutator(X_10,multiply(inverse(X_10),X_37))) ),[0],$fot(commutator(X_37,inverse(X_10)))]]) ).
cnf(refute_0_525,plain,
( commutator(X_37,multiply(inverse(X_10),X_37)) != commutator(X_10,multiply(inverse(X_10),X_37))
| commutator(X_37,inverse(X_10)) = commutator(X_10,multiply(inverse(X_10),X_37)) ),
inference(resolve,[$cnf( $equal(commutator(X_37,multiply(inverse(X_10),X_37)),commutator(X_37,inverse(X_10))) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
commutator(X_37,inverse(X_10)) = commutator(X_10,multiply(inverse(X_10),X_37)),
inference(resolve,[$cnf( $equal(commutator(X_37,multiply(inverse(X_10),X_37)),commutator(X_10,multiply(inverse(X_10),X_37))) )],[refute_0_476,refute_0_525]) ).
cnf(refute_0_527,plain,
( commutator(X_37,inverse(X_10)) != commutator(X_10,multiply(inverse(X_10),X_37))
| commutator(X_10,multiply(inverse(X_10),X_37)) = commutator(X_37,inverse(X_10)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(commutator(X_37,inverse(X_10)))),bind(Y0,$fot(commutator(X_10,multiply(inverse(X_10),X_37))))]]) ).
cnf(refute_0_528,plain,
commutator(X_10,multiply(inverse(X_10),X_37)) = commutator(X_37,inverse(X_10)),
inference(resolve,[$cnf( $equal(commutator(X_37,inverse(X_10)),commutator(X_10,multiply(inverse(X_10),X_37))) )],[refute_0_526,refute_0_527]) ).
cnf(refute_0_529,plain,
commutator(X_45,multiply(inverse(X_45),commutator(X_45,Y))) = commutator(commutator(X_45,Y),inverse(X_45)),
inference(subst,[],[refute_0_528:[bind(X_10,$fot(X_45)),bind(X_37,$fot(commutator(X_45,Y)))]]) ).
cnf(refute_0_530,plain,
( commutator(X_45,multiply(inverse(X_45),commutator(X_45,Y))) != commutator(commutator(X_45,Y),inverse(X_45))
| commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) != commutator(X_45,multiply(inverse(X_45),commutator(X_45,Y)))
| commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) = commutator(commutator(X_45,Y),inverse(X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))),commutator(X_45,multiply(inverse(X_45),commutator(X_45,Y)))) ),[1],$fot(commutator(commutator(X_45,Y),inverse(X_45)))]]) ).
cnf(refute_0_531,plain,
( commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) != commutator(X_45,multiply(inverse(X_45),commutator(X_45,Y)))
| commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) = commutator(commutator(X_45,Y),inverse(X_45)) ),
inference(resolve,[$cnf( $equal(commutator(X_45,multiply(inverse(X_45),commutator(X_45,Y))),commutator(commutator(X_45,Y),inverse(X_45))) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) = commutator(commutator(X_45,Y),inverse(X_45)),
inference(resolve,[$cnf( $equal(commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))),commutator(X_45,multiply(inverse(X_45),commutator(X_45,Y)))) )],[refute_0_518,refute_0_531]) ).
cnf(refute_0_533,plain,
commutator(multiply(X_9,multiply(inverse(X_58),X_9)),multiply(inverse(X_58),X_9)) = commutator(X_9,multiply(inverse(X_58),X_9)),
inference(subst,[],[refute_0_334:[bind(X_10,$fot(multiply(inverse(X_58),X_9)))]]) ).
cnf(refute_0_534,plain,
multiply(X_28,multiply(inverse(X_8),X_28)) = multiply(X_8,multiply(inverse(X_8),multiply(X_28,multiply(inverse(X_8),X_28)))),
inference(subst,[],[refute_0_291:[bind(X_10,$fot(multiply(X_28,multiply(inverse(X_8),X_28))))]]) ).
cnf(refute_0_535,plain,
inverse(multiply(inverse(X_8),X_28)) = multiply(inverse(X_8),multiply(X_28,multiply(inverse(X_8),X_28))),
inference(subst,[],[refute_0_365:[bind(X,$fot(inverse(X_8))),bind(Y,$fot(X_28))]]) ).
cnf(refute_0_536,plain,
( inverse(multiply(inverse(X_8),X_28)) != multiply(inverse(X_8),multiply(X_28,multiply(inverse(X_8),X_28)))
| multiply(inverse(X_8),multiply(X_28,multiply(inverse(X_8),X_28))) = inverse(multiply(inverse(X_8),X_28)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(inverse(multiply(inverse(X_8),X_28)))),bind(Y0,$fot(multiply(inverse(X_8),multiply(X_28,multiply(inverse(X_8),X_28)))))]]) ).
cnf(refute_0_537,plain,
multiply(inverse(X_8),multiply(X_28,multiply(inverse(X_8),X_28))) = inverse(multiply(inverse(X_8),X_28)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_8),X_28)),multiply(inverse(X_8),multiply(X_28,multiply(inverse(X_8),X_28)))) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
( multiply(X_28,multiply(inverse(X_8),X_28)) != multiply(X_8,multiply(inverse(X_8),multiply(X_28,multiply(inverse(X_8),X_28))))
| multiply(inverse(X_8),multiply(X_28,multiply(inverse(X_8),X_28))) != inverse(multiply(inverse(X_8),X_28))
| multiply(X_28,multiply(inverse(X_8),X_28)) = multiply(X_8,inverse(multiply(inverse(X_8),X_28))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_28,multiply(inverse(X_8),X_28)),multiply(X_8,multiply(inverse(X_8),multiply(X_28,multiply(inverse(X_8),X_28))))) ),[1,1],$fot(inverse(multiply(inverse(X_8),X_28)))]]) ).
cnf(refute_0_539,plain,
( multiply(X_28,multiply(inverse(X_8),X_28)) != multiply(X_8,multiply(inverse(X_8),multiply(X_28,multiply(inverse(X_8),X_28))))
| multiply(X_28,multiply(inverse(X_8),X_28)) = multiply(X_8,inverse(multiply(inverse(X_8),X_28))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_8),multiply(X_28,multiply(inverse(X_8),X_28))),inverse(multiply(inverse(X_8),X_28))) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
multiply(X_28,multiply(inverse(X_8),X_28)) = multiply(X_8,inverse(multiply(inverse(X_8),X_28))),
inference(resolve,[$cnf( $equal(multiply(X_28,multiply(inverse(X_8),X_28)),multiply(X_8,multiply(inverse(X_8),multiply(X_28,multiply(inverse(X_8),X_28))))) )],[refute_0_534,refute_0_539]) ).
cnf(refute_0_541,plain,
multiply(X_9,multiply(inverse(X_58),X_9)) = multiply(X_58,inverse(multiply(inverse(X_58),X_9))),
inference(subst,[],[refute_0_540:[bind(X_28,$fot(X_9)),bind(X_8,$fot(X_58))]]) ).
cnf(refute_0_542,plain,
( multiply(X_9,multiply(inverse(X_58),X_9)) != multiply(X_58,inverse(multiply(inverse(X_58),X_9)))
| commutator(multiply(X_9,multiply(inverse(X_58),X_9)),multiply(inverse(X_58),X_9)) != commutator(X_9,multiply(inverse(X_58),X_9))
| commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)) = commutator(X_9,multiply(inverse(X_58),X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_9,multiply(inverse(X_58),X_9)),multiply(inverse(X_58),X_9)),commutator(X_9,multiply(inverse(X_58),X_9))) ),[0,0],$fot(multiply(X_58,inverse(multiply(inverse(X_58),X_9))))]]) ).
cnf(refute_0_543,plain,
( commutator(multiply(X_9,multiply(inverse(X_58),X_9)),multiply(inverse(X_58),X_9)) != commutator(X_9,multiply(inverse(X_58),X_9))
| commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)) = commutator(X_9,multiply(inverse(X_58),X_9)) ),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(inverse(X_58),X_9)),multiply(X_58,inverse(multiply(inverse(X_58),X_9)))) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)) = commutator(X_9,multiply(inverse(X_58),X_9)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_9,multiply(inverse(X_58),X_9)),multiply(inverse(X_58),X_9)),commutator(X_9,multiply(inverse(X_58),X_9))) )],[refute_0_533,refute_0_543]) ).
cnf(refute_0_545,plain,
commutator(X_9,multiply(inverse(X_58),X_9)) = commutator(X_9,inverse(X_58)),
inference(subst,[],[refute_0_522:[bind(X_34,$fot(X_9)),bind(X_35,$fot(inverse(X_58)))]]) ).
cnf(refute_0_546,plain,
( commutator(X_9,multiply(inverse(X_58),X_9)) != commutator(X_9,inverse(X_58))
| commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)) != commutator(X_9,multiply(inverse(X_58),X_9))
| commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)) = commutator(X_9,inverse(X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)),commutator(X_9,multiply(inverse(X_58),X_9))) ),[1],$fot(commutator(X_9,inverse(X_58)))]]) ).
cnf(refute_0_547,plain,
( commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)) != commutator(X_9,multiply(inverse(X_58),X_9))
| commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)) = commutator(X_9,inverse(X_58)) ),
inference(resolve,[$cnf( $equal(commutator(X_9,multiply(inverse(X_58),X_9)),commutator(X_9,inverse(X_58))) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)) = commutator(X_9,inverse(X_58)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)),commutator(X_9,multiply(inverse(X_58),X_9))) )],[refute_0_544,refute_0_547]) ).
cnf(refute_0_549,plain,
( X_10 != multiply(X_8,multiply(inverse(X_8),X_10))
| multiply(X_8,multiply(inverse(X_8),X_10)) = X_10 ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(X_10)),bind(Y0,$fot(multiply(X_8,multiply(inverse(X_8),X_10))))]]) ).
cnf(refute_0_550,plain,
multiply(X_8,multiply(inverse(X_8),X_10)) = X_10,
inference(resolve,[$cnf( $equal(X_10,multiply(X_8,multiply(inverse(X_8),X_10))) )],[refute_0_291,refute_0_549]) ).
cnf(refute_0_551,plain,
multiply(X_58,multiply(inverse(X_58),X_9)) = X_9,
inference(subst,[],[refute_0_550:[bind(X_10,$fot(X_9)),bind(X_8,$fot(X_58))]]) ).
cnf(refute_0_552,plain,
commutator(X_58,multiply(X_58,multiply(inverse(X_58),X_9))) = commutator(X_58,multiply(X_58,multiply(inverse(X_58),X_9))),
introduced(tautology,[refl,[$fot(commutator(X_58,multiply(X_58,multiply(inverse(X_58),X_9))))]]) ).
cnf(refute_0_553,plain,
( multiply(X_58,multiply(inverse(X_58),X_9)) != X_9
| commutator(X_58,multiply(X_58,multiply(inverse(X_58),X_9))) != commutator(X_58,multiply(X_58,multiply(inverse(X_58),X_9)))
| commutator(X_58,multiply(X_58,multiply(inverse(X_58),X_9))) = commutator(X_58,X_9) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_58,multiply(X_58,multiply(inverse(X_58),X_9))),commutator(X_58,multiply(X_58,multiply(inverse(X_58),X_9)))) ),[1,1],$fot(X_9)]]) ).
cnf(refute_0_554,plain,
( multiply(X_58,multiply(inverse(X_58),X_9)) != X_9
| commutator(X_58,multiply(X_58,multiply(inverse(X_58),X_9))) = commutator(X_58,X_9) ),
inference(resolve,[$cnf( $equal(commutator(X_58,multiply(X_58,multiply(inverse(X_58),X_9))),commutator(X_58,multiply(X_58,multiply(inverse(X_58),X_9)))) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
commutator(X_58,multiply(X_58,multiply(inverse(X_58),X_9))) = commutator(X_58,X_9),
inference(resolve,[$cnf( $equal(multiply(X_58,multiply(inverse(X_58),X_9)),X_9) )],[refute_0_551,refute_0_554]) ).
cnf(refute_0_556,plain,
commutator(multiply(X_8,X_9),Y) = multiply(multiply(X_8,X_9),multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))),
inference(subst,[],[commutator:[bind(X,$fot(multiply(X_8,X_9)))]]) ).
cnf(refute_0_557,plain,
multiply(multiply(X_8,X_9),multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))) = multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))),
inference(subst,[],[associativity:[bind(X,$fot(X_8)),bind(Y,$fot(X_9)),bind(Z,$fot(multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))))]]) ).
cnf(refute_0_558,plain,
( multiply(multiply(X_8,X_9),multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))) != multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))))
| commutator(multiply(X_8,X_9),Y) != multiply(multiply(X_8,X_9),multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))
| commutator(multiply(X_8,X_9),Y) = multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_8,X_9),Y),multiply(multiply(X_8,X_9),multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))) ),[1],$fot(multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))))]]) ).
cnf(refute_0_559,plain,
( commutator(multiply(X_8,X_9),Y) != multiply(multiply(X_8,X_9),multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))
| commutator(multiply(X_8,X_9),Y) = multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_8,X_9),multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))),multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))))) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
commutator(multiply(X_8,X_9),Y) = multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_8,X_9),Y),multiply(multiply(X_8,X_9),multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))) )],[refute_0_556,refute_0_559]) ).
cnf(refute_0_561,plain,
multiply(multiply(X_8,X_9),inverse(Y)) = multiply(X_8,multiply(X_9,inverse(Y))),
inference(subst,[],[associativity:[bind(X,$fot(X_8)),bind(Y,$fot(X_9)),bind(Z,$fot(inverse(Y)))]]) ).
cnf(refute_0_562,plain,
multiply(Y,multiply(multiply(X_8,X_9),inverse(Y))) = multiply(Y,multiply(multiply(X_8,X_9),inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y))))]]) ).
cnf(refute_0_563,plain,
( multiply(Y,multiply(multiply(X_8,X_9),inverse(Y))) != multiply(Y,multiply(multiply(X_8,X_9),inverse(Y)))
| multiply(multiply(X_8,X_9),inverse(Y)) != multiply(X_8,multiply(X_9,inverse(Y)))
| multiply(Y,multiply(multiply(X_8,X_9),inverse(Y))) = multiply(Y,multiply(X_8,multiply(X_9,inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y))),multiply(Y,multiply(multiply(X_8,X_9),inverse(Y)))) ),[1,1],$fot(multiply(X_8,multiply(X_9,inverse(Y))))]]) ).
cnf(refute_0_564,plain,
( multiply(multiply(X_8,X_9),inverse(Y)) != multiply(X_8,multiply(X_9,inverse(Y)))
| multiply(Y,multiply(multiply(X_8,X_9),inverse(Y))) = multiply(Y,multiply(X_8,multiply(X_9,inverse(Y)))) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y))),multiply(Y,multiply(multiply(X_8,X_9),inverse(Y)))) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
multiply(Y,multiply(multiply(X_8,X_9),inverse(Y))) = multiply(Y,multiply(X_8,multiply(X_9,inverse(Y)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_8,X_9),inverse(Y)),multiply(X_8,multiply(X_9,inverse(Y)))) )],[refute_0_561,refute_0_564]) ).
cnf(refute_0_566,plain,
inverse(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y)))) = inverse(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y)))),
introduced(tautology,[refl,[$fot(inverse(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y)))))]]) ).
cnf(refute_0_567,plain,
( multiply(Y,multiply(multiply(X_8,X_9),inverse(Y))) != multiply(Y,multiply(X_8,multiply(X_9,inverse(Y))))
| inverse(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y)))) != inverse(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y))))
| inverse(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y)))) = inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y)))),inverse(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y))))) ),[1,0],$fot(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y)))))]]) ).
cnf(refute_0_568,plain,
( multiply(Y,multiply(multiply(X_8,X_9),inverse(Y))) != multiply(Y,multiply(X_8,multiply(X_9,inverse(Y))))
| inverse(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y)))) = inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y)))),inverse(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y))))) )],[refute_0_566,refute_0_567]) ).
cnf(refute_0_569,plain,
inverse(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y)))) = inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y))))),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y))),multiply(Y,multiply(X_8,multiply(X_9,inverse(Y))))) )],[refute_0_565,refute_0_568]) ).
cnf(refute_0_570,plain,
multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))) = inverse(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y)))),
inference(subst,[],[refute_0_406:[bind(X_24,$fot(multiply(X_8,X_9))),bind(X_27,$fot(Y))]]) ).
cnf(refute_0_571,plain,
( multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))) != inverse(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y))))
| inverse(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y)))) != inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y)))))
| multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))) = inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y))))) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))),bind(Y0,$fot(inverse(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y)))))),bind(Z0,$fot(inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y)))))))]]) ).
cnf(refute_0_572,plain,
( inverse(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y)))) != inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y)))))
| multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))) = inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y))))) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))),inverse(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y))))) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))) = inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y))))),
inference(resolve,[$cnf( $equal(inverse(multiply(Y,multiply(multiply(X_8,X_9),inverse(Y)))),inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y)))))) )],[refute_0_569,refute_0_572]) ).
cnf(refute_0_574,plain,
multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))) = multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))),
introduced(tautology,[refl,[$fot(multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))))]]) ).
cnf(refute_0_575,plain,
( multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))) != inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y)))))
| multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))) != multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))
| multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))) = multiply(X_9,inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))),multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))) ),[1,1],$fot(inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y))))))]]) ).
cnf(refute_0_576,plain,
( multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))) != inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y)))))
| multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))) = multiply(X_9,inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y)))))) ),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))),multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))) = multiply(X_9,inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y)))))),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))),inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y)))))) )],[refute_0_573,refute_0_576]) ).
cnf(refute_0_578,plain,
multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))) = multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))),
introduced(tautology,[refl,[$fot(multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))))]]) ).
cnf(refute_0_579,plain,
( multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))) != multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))))
| multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))) != multiply(X_9,inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y))))))
| multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))) = multiply(X_8,multiply(X_9,inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y))))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))),multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))))) ),[1,1],$fot(multiply(X_9,inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y)))))))]]) ).
cnf(refute_0_580,plain,
( multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))) != multiply(X_9,inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y))))))
| multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))) = multiply(X_8,multiply(X_9,inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y))))))) ),
inference(resolve,[$cnf( $equal(multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))),multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))))) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))) = multiply(X_8,multiply(X_9,inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y))))))),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))),multiply(X_9,inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y))))))) )],[refute_0_577,refute_0_580]) ).
cnf(refute_0_582,plain,
( multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))) != multiply(X_8,multiply(X_9,inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y)))))))
| commutator(multiply(X_8,X_9),Y) != multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))))
| commutator(multiply(X_8,X_9),Y) = multiply(X_8,multiply(X_9,inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y))))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_8,X_9),Y),multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))))) ),[1],$fot(multiply(X_8,multiply(X_9,inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y))))))))]]) ).
cnf(refute_0_583,plain,
( commutator(multiply(X_8,X_9),Y) != multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))))
| commutator(multiply(X_8,X_9),Y) = multiply(X_8,multiply(X_9,inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y))))))) ),
inference(resolve,[$cnf( $equal(multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y))))),multiply(X_8,multiply(X_9,inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y)))))))) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
commutator(multiply(X_8,X_9),Y) = multiply(X_8,multiply(X_9,inverse(multiply(Y,multiply(X_8,multiply(X_9,inverse(Y))))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_8,X_9),Y),multiply(X_8,multiply(X_9,multiply(Y,multiply(inverse(multiply(X_8,X_9)),inverse(Y)))))) )],[refute_0_560,refute_0_583]) ).
cnf(refute_0_585,plain,
commutator(multiply(X_64,inverse(X_63)),X_63) = multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,multiply(inverse(X_63),inverse(X_63))))))),
inference(subst,[],[refute_0_584:[bind(Y,$fot(X_63)),bind(X_8,$fot(X_64)),bind(X_9,$fot(inverse(X_63)))]]) ).
cnf(refute_0_586,plain,
multiply(inverse(X_63),inverse(X_63)) = inverse(inverse(X_63)),
inference(subst,[],[refute_0_53:[bind(X_14,$fot(inverse(X_63)))]]) ).
cnf(refute_0_587,plain,
( multiply(inverse(X_63),inverse(X_63)) != inverse(inverse(X_63))
| commutator(multiply(X_64,inverse(X_63)),X_63) != multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,multiply(inverse(X_63),inverse(X_63)))))))
| commutator(multiply(X_64,inverse(X_63)),X_63) = multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_64,inverse(X_63)),X_63),multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,multiply(inverse(X_63),inverse(X_63)))))))) ),[1,1,1,0,1,1],$fot(inverse(inverse(X_63)))]]) ).
cnf(refute_0_588,plain,
( commutator(multiply(X_64,inverse(X_63)),X_63) != multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,multiply(inverse(X_63),inverse(X_63)))))))
| commutator(multiply(X_64,inverse(X_63)),X_63) = multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_63),inverse(X_63)),inverse(inverse(X_63))) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
commutator(multiply(X_64,inverse(X_63)),X_63) = multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_64,inverse(X_63)),X_63),multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,multiply(inverse(X_63),inverse(X_63)))))))) )],[refute_0_585,refute_0_588]) ).
cnf(refute_0_590,plain,
commutator(inverse(inverse(X_44)),multiply(X_44,X_43)) = multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(inverse(X_44),inverse(multiply(X_44,X_43))))),
inference(subst,[],[refute_0_342:[bind(Y,$fot(multiply(X_44,X_43))),bind(X_17,$fot(inverse(X_44)))]]) ).
cnf(refute_0_591,plain,
multiply(X_28,multiply(X_9,X_28)) = multiply(inverse(X_9),multiply(X_9,multiply(X_28,multiply(X_9,X_28)))),
inference(subst,[],[refute_0_14:[bind(X_10,$fot(multiply(X_28,multiply(X_9,X_28))))]]) ).
cnf(refute_0_592,plain,
inverse(multiply(X_9,X_28)) = multiply(X_9,multiply(X_28,multiply(X_9,X_28))),
inference(subst,[],[refute_0_365:[bind(X,$fot(X_9)),bind(Y,$fot(X_28))]]) ).
cnf(refute_0_593,plain,
( inverse(multiply(X_9,X_28)) != multiply(X_9,multiply(X_28,multiply(X_9,X_28)))
| multiply(X_9,multiply(X_28,multiply(X_9,X_28))) = inverse(multiply(X_9,X_28)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(inverse(multiply(X_9,X_28)))),bind(Y0,$fot(multiply(X_9,multiply(X_28,multiply(X_9,X_28)))))]]) ).
cnf(refute_0_594,plain,
multiply(X_9,multiply(X_28,multiply(X_9,X_28))) = inverse(multiply(X_9,X_28)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_9,X_28)),multiply(X_9,multiply(X_28,multiply(X_9,X_28)))) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
( multiply(X_28,multiply(X_9,X_28)) != multiply(inverse(X_9),multiply(X_9,multiply(X_28,multiply(X_9,X_28))))
| multiply(X_9,multiply(X_28,multiply(X_9,X_28))) != inverse(multiply(X_9,X_28))
| multiply(X_28,multiply(X_9,X_28)) = multiply(inverse(X_9),inverse(multiply(X_9,X_28))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_28,multiply(X_9,X_28)),multiply(inverse(X_9),multiply(X_9,multiply(X_28,multiply(X_9,X_28))))) ),[1,1],$fot(inverse(multiply(X_9,X_28)))]]) ).
cnf(refute_0_596,plain,
( multiply(X_28,multiply(X_9,X_28)) != multiply(inverse(X_9),multiply(X_9,multiply(X_28,multiply(X_9,X_28))))
| multiply(X_28,multiply(X_9,X_28)) = multiply(inverse(X_9),inverse(multiply(X_9,X_28))) ),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(X_28,multiply(X_9,X_28))),inverse(multiply(X_9,X_28))) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
multiply(X_28,multiply(X_9,X_28)) = multiply(inverse(X_9),inverse(multiply(X_9,X_28))),
inference(resolve,[$cnf( $equal(multiply(X_28,multiply(X_9,X_28)),multiply(inverse(X_9),multiply(X_9,multiply(X_28,multiply(X_9,X_28))))) )],[refute_0_591,refute_0_596]) ).
cnf(refute_0_598,plain,
multiply(X_43,multiply(X_44,X_43)) = multiply(inverse(X_44),inverse(multiply(X_44,X_43))),
inference(subst,[],[refute_0_597:[bind(X_28,$fot(X_43)),bind(X_9,$fot(X_44))]]) ).
cnf(refute_0_599,plain,
( multiply(X_43,multiply(X_44,X_43)) != multiply(inverse(X_44),inverse(multiply(X_44,X_43)))
| multiply(inverse(X_44),inverse(multiply(X_44,X_43))) = multiply(X_43,multiply(X_44,X_43)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(X_43,multiply(X_44,X_43)))),bind(Y0,$fot(multiply(inverse(X_44),inverse(multiply(X_44,X_43)))))]]) ).
cnf(refute_0_600,plain,
multiply(inverse(X_44),inverse(multiply(X_44,X_43))) = multiply(X_43,multiply(X_44,X_43)),
inference(resolve,[$cnf( $equal(multiply(X_43,multiply(X_44,X_43)),multiply(inverse(X_44),inverse(multiply(X_44,X_43)))) )],[refute_0_598,refute_0_599]) ).
cnf(refute_0_601,plain,
( multiply(inverse(X_44),inverse(multiply(X_44,X_43))) != multiply(X_43,multiply(X_44,X_43))
| commutator(inverse(inverse(X_44)),multiply(X_44,X_43)) != multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(inverse(X_44),inverse(multiply(X_44,X_43)))))
| commutator(inverse(inverse(X_44)),multiply(X_44,X_43)) = multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(X_44)),multiply(X_44,X_43)),multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(inverse(X_44),inverse(multiply(X_44,X_43)))))) ),[1,1,1],$fot(multiply(X_43,multiply(X_44,X_43)))]]) ).
cnf(refute_0_602,plain,
( commutator(inverse(inverse(X_44)),multiply(X_44,X_43)) != multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(inverse(X_44),inverse(multiply(X_44,X_43)))))
| commutator(inverse(inverse(X_44)),multiply(X_44,X_43)) = multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_44),inverse(multiply(X_44,X_43))),multiply(X_43,multiply(X_44,X_43))) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
commutator(inverse(inverse(X_44)),multiply(X_44,X_43)) = multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43)))),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_44)),multiply(X_44,X_43)),multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(inverse(X_44),inverse(multiply(X_44,X_43)))))) )],[refute_0_590,refute_0_602]) ).
cnf(refute_0_604,plain,
inverse(inverse(X_44)) = X_44,
inference(subst,[],[refute_0_63:[bind(X_10,$fot(X_44))]]) ).
cnf(refute_0_605,plain,
commutator(inverse(inverse(X_44)),multiply(X_44,X_43)) = commutator(inverse(inverse(X_44)),multiply(X_44,X_43)),
introduced(tautology,[refl,[$fot(commutator(inverse(inverse(X_44)),multiply(X_44,X_43)))]]) ).
cnf(refute_0_606,plain,
( commutator(inverse(inverse(X_44)),multiply(X_44,X_43)) != commutator(inverse(inverse(X_44)),multiply(X_44,X_43))
| inverse(inverse(X_44)) != X_44
| commutator(inverse(inverse(X_44)),multiply(X_44,X_43)) = commutator(X_44,multiply(X_44,X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(X_44)),multiply(X_44,X_43)),commutator(inverse(inverse(X_44)),multiply(X_44,X_43))) ),[1,0],$fot(X_44)]]) ).
cnf(refute_0_607,plain,
( inverse(inverse(X_44)) != X_44
| commutator(inverse(inverse(X_44)),multiply(X_44,X_43)) = commutator(X_44,multiply(X_44,X_43)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_44)),multiply(X_44,X_43)),commutator(inverse(inverse(X_44)),multiply(X_44,X_43))) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
commutator(inverse(inverse(X_44)),multiply(X_44,X_43)) = commutator(X_44,multiply(X_44,X_43)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_44)),X_44) )],[refute_0_604,refute_0_607]) ).
cnf(refute_0_609,plain,
( commutator(inverse(inverse(X_44)),multiply(X_44,X_43)) != multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43))))
| commutator(inverse(inverse(X_44)),multiply(X_44,X_43)) != commutator(X_44,multiply(X_44,X_43))
| commutator(X_44,multiply(X_44,X_43)) = multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(X_44)),multiply(X_44,X_43)),multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43))))) ),[0],$fot(commutator(X_44,multiply(X_44,X_43)))]]) ).
cnf(refute_0_610,plain,
( commutator(inverse(inverse(X_44)),multiply(X_44,X_43)) != multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43))))
| commutator(X_44,multiply(X_44,X_43)) = multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43)))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_44)),multiply(X_44,X_43)),commutator(X_44,multiply(X_44,X_43))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
multiply(inverse(inverse(X_44)),multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))) = multiply(inverse(inverse(X_44)),multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_44)),multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))))]]) ).
cnf(refute_0_612,plain,
( multiply(inverse(inverse(X_44)),multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))) != multiply(inverse(inverse(X_44)),multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43)))))
| inverse(inverse(X_44)) != X_44
| multiply(inverse(inverse(X_44)),multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))) = multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_44)),multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))),multiply(inverse(inverse(X_44)),multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43)))))) ),[1,0],$fot(X_44)]]) ).
cnf(refute_0_613,plain,
( inverse(inverse(X_44)) != X_44
| multiply(inverse(inverse(X_44)),multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))) = multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_44)),multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))),multiply(inverse(inverse(X_44)),multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43)))))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
multiply(inverse(inverse(X_44)),multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))) = multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_44)),X_44) )],[refute_0_604,refute_0_613]) ).
cnf(refute_0_615,plain,
multiply(multiply(X,Y),multiply(X_44,Y)) = multiply(X,multiply(Y,multiply(X_44,Y))),
inference(subst,[],[associativity:[bind(Z,$fot(multiply(X_44,Y)))]]) ).
cnf(refute_0_616,plain,
multiply(Y,multiply(X_44,Y)) = multiply(inverse(X_44),inverse(multiply(X_44,Y))),
inference(subst,[],[refute_0_597:[bind(X_28,$fot(Y)),bind(X_9,$fot(X_44))]]) ).
cnf(refute_0_617,plain,
( multiply(Y,multiply(X_44,Y)) != multiply(inverse(X_44),inverse(multiply(X_44,Y)))
| multiply(multiply(X,Y),multiply(X_44,Y)) != multiply(X,multiply(Y,multiply(X_44,Y)))
| multiply(multiply(X,Y),multiply(X_44,Y)) = multiply(X,multiply(inverse(X_44),inverse(multiply(X_44,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,Y),multiply(X_44,Y)),multiply(X,multiply(Y,multiply(X_44,Y)))) ),[1,1],$fot(multiply(inverse(X_44),inverse(multiply(X_44,Y))))]]) ).
cnf(refute_0_618,plain,
( multiply(multiply(X,Y),multiply(X_44,Y)) != multiply(X,multiply(Y,multiply(X_44,Y)))
| multiply(multiply(X,Y),multiply(X_44,Y)) = multiply(X,multiply(inverse(X_44),inverse(multiply(X_44,Y)))) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_44,Y)),multiply(inverse(X_44),inverse(multiply(X_44,Y)))) )],[refute_0_616,refute_0_617]) ).
cnf(refute_0_619,plain,
multiply(multiply(X,Y),multiply(X_44,Y)) = multiply(X,multiply(inverse(X_44),inverse(multiply(X_44,Y)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),multiply(X_44,Y)),multiply(X,multiply(Y,multiply(X_44,Y)))) )],[refute_0_615,refute_0_618]) ).
cnf(refute_0_620,plain,
( multiply(multiply(X,Y),multiply(X_44,Y)) != multiply(X,multiply(Y,multiply(X_44,Y)))
| multiply(multiply(X,Y),multiply(X_44,Y)) != multiply(X,multiply(inverse(X_44),inverse(multiply(X_44,Y))))
| multiply(X,multiply(Y,multiply(X_44,Y))) = multiply(X,multiply(inverse(X_44),inverse(multiply(X_44,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,Y),multiply(X_44,Y)),multiply(X,multiply(inverse(X_44),inverse(multiply(X_44,Y))))) ),[0],$fot(multiply(X,multiply(Y,multiply(X_44,Y))))]]) ).
cnf(refute_0_621,plain,
( multiply(multiply(X,Y),multiply(X_44,Y)) != multiply(X,multiply(inverse(X_44),inverse(multiply(X_44,Y))))
| multiply(X,multiply(Y,multiply(X_44,Y))) = multiply(X,multiply(inverse(X_44),inverse(multiply(X_44,Y)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),multiply(X_44,Y)),multiply(X,multiply(Y,multiply(X_44,Y)))) )],[refute_0_615,refute_0_620]) ).
cnf(refute_0_622,plain,
multiply(X,multiply(Y,multiply(X_44,Y))) = multiply(X,multiply(inverse(X_44),inverse(multiply(X_44,Y)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),multiply(X_44,Y)),multiply(X,multiply(inverse(X_44),inverse(multiply(X_44,Y))))) )],[refute_0_619,refute_0_621]) ).
cnf(refute_0_623,plain,
multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43)))) = multiply(inverse(inverse(X_44)),multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))),
inference(subst,[],[refute_0_622:[bind(X,$fot(inverse(inverse(X_44)))),bind(Y,$fot(multiply(X_44,X_43))),bind(X_44,$fot(X_43))]]) ).
cnf(refute_0_624,plain,
( multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43)))) != multiply(inverse(inverse(X_44)),multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43)))))
| multiply(inverse(inverse(X_44)),multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))) != multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43)))))
| multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43)))) = multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43)))))),bind(Y0,$fot(multiply(inverse(inverse(X_44)),multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))))),bind(Z0,$fot(multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43)))))))]]) ).
cnf(refute_0_625,plain,
( multiply(inverse(inverse(X_44)),multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))) != multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43)))))
| multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43)))) = multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43)))),multiply(inverse(inverse(X_44)),multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43)))))) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43)))) = multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_44)),multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))),multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43)))))) )],[refute_0_614,refute_0_625]) ).
cnf(refute_0_627,plain,
( multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43)))) != multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43)))))
| commutator(X_44,multiply(X_44,X_43)) != multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43))))
| commutator(X_44,multiply(X_44,X_43)) = multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_44,multiply(X_44,X_43)),multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43))))) ),[1],$fot(multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))))]]) ).
cnf(refute_0_628,plain,
( commutator(X_44,multiply(X_44,X_43)) != multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43))))
| commutator(X_44,multiply(X_44,X_43)) = multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43)))),multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43)))))) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
( commutator(inverse(inverse(X_44)),multiply(X_44,X_43)) != multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43))))
| commutator(X_44,multiply(X_44,X_43)) = multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))) ),
inference(resolve,[$cnf( $equal(commutator(X_44,multiply(X_44,X_43)),multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43))))) )],[refute_0_610,refute_0_628]) ).
cnf(refute_0_630,plain,
commutator(X_44,multiply(X_44,X_43)) = multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_44)),multiply(X_44,X_43)),multiply(inverse(inverse(X_44)),multiply(multiply(X_44,X_43),multiply(X_43,multiply(X_44,X_43))))) )],[refute_0_603,refute_0_629]) ).
cnf(refute_0_631,plain,
( commutator(X_44,multiply(X_44,X_43)) != multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43)))))
| multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))) = commutator(X_44,multiply(X_44,X_43)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(commutator(X_44,multiply(X_44,X_43)))),bind(Y0,$fot(multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43)))))))]]) ).
cnf(refute_0_632,plain,
multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43))))) = commutator(X_44,multiply(X_44,X_43)),
inference(resolve,[$cnf( $equal(commutator(X_44,multiply(X_44,X_43)),multiply(X_44,multiply(inverse(X_43),inverse(multiply(X_43,multiply(X_44,X_43)))))) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,X_63))))) = commutator(X_64,multiply(X_64,X_63)),
inference(subst,[],[refute_0_632:[bind(X_43,$fot(X_63)),bind(X_44,$fot(X_64))]]) ).
cnf(refute_0_634,plain,
inverse(inverse(X_63)) = X_63,
inference(subst,[],[refute_0_63:[bind(X_10,$fot(X_63))]]) ).
cnf(refute_0_635,plain,
multiply(X_64,inverse(inverse(X_63))) = multiply(X_64,inverse(inverse(X_63))),
introduced(tautology,[refl,[$fot(multiply(X_64,inverse(inverse(X_63))))]]) ).
cnf(refute_0_636,plain,
( multiply(X_64,inverse(inverse(X_63))) != multiply(X_64,inverse(inverse(X_63)))
| inverse(inverse(X_63)) != X_63
| multiply(X_64,inverse(inverse(X_63))) = multiply(X_64,X_63) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_64,inverse(inverse(X_63))),multiply(X_64,inverse(inverse(X_63)))) ),[1,1],$fot(X_63)]]) ).
cnf(refute_0_637,plain,
( inverse(inverse(X_63)) != X_63
| multiply(X_64,inverse(inverse(X_63))) = multiply(X_64,X_63) ),
inference(resolve,[$cnf( $equal(multiply(X_64,inverse(inverse(X_63))),multiply(X_64,inverse(inverse(X_63)))) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
multiply(X_64,inverse(inverse(X_63))) = multiply(X_64,X_63),
inference(resolve,[$cnf( $equal(inverse(inverse(X_63)),X_63) )],[refute_0_634,refute_0_637]) ).
cnf(refute_0_639,plain,
multiply(X_63,multiply(X_64,inverse(inverse(X_63)))) = multiply(X_63,multiply(X_64,inverse(inverse(X_63)))),
introduced(tautology,[refl,[$fot(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))]]) ).
cnf(refute_0_640,plain,
( multiply(X_63,multiply(X_64,inverse(inverse(X_63)))) != multiply(X_63,multiply(X_64,inverse(inverse(X_63))))
| multiply(X_64,inverse(inverse(X_63))) != multiply(X_64,X_63)
| multiply(X_63,multiply(X_64,inverse(inverse(X_63)))) = multiply(X_63,multiply(X_64,X_63)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))),multiply(X_63,multiply(X_64,inverse(inverse(X_63))))) ),[1,1],$fot(multiply(X_64,X_63))]]) ).
cnf(refute_0_641,plain,
( multiply(X_64,inverse(inverse(X_63))) != multiply(X_64,X_63)
| multiply(X_63,multiply(X_64,inverse(inverse(X_63)))) = multiply(X_63,multiply(X_64,X_63)) ),
inference(resolve,[$cnf( $equal(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))),multiply(X_63,multiply(X_64,inverse(inverse(X_63))))) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
multiply(X_63,multiply(X_64,inverse(inverse(X_63)))) = multiply(X_63,multiply(X_64,X_63)),
inference(resolve,[$cnf( $equal(multiply(X_64,inverse(inverse(X_63))),multiply(X_64,X_63)) )],[refute_0_638,refute_0_641]) ).
cnf(refute_0_643,plain,
inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))) = inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))]]) ).
cnf(refute_0_644,plain,
( multiply(X_63,multiply(X_64,inverse(inverse(X_63)))) != multiply(X_63,multiply(X_64,X_63))
| inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))) != inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))
| inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))) = inverse(multiply(X_63,multiply(X_64,X_63))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))) ),[1,0],$fot(multiply(X_63,multiply(X_64,X_63)))]]) ).
cnf(refute_0_645,plain,
( multiply(X_63,multiply(X_64,inverse(inverse(X_63)))) != multiply(X_63,multiply(X_64,X_63))
| inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))) = inverse(multiply(X_63,multiply(X_64,X_63))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))) = inverse(multiply(X_63,multiply(X_64,X_63))),
inference(resolve,[$cnf( $equal(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))),multiply(X_63,multiply(X_64,X_63))) )],[refute_0_642,refute_0_645]) ).
cnf(refute_0_647,plain,
multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))) = multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))))]]) ).
cnf(refute_0_648,plain,
( multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))) != multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))
| inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))) != inverse(multiply(X_63,multiply(X_64,X_63)))
| multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))) = multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,X_63)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))),multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))) ),[1,1],$fot(inverse(multiply(X_63,multiply(X_64,X_63))))]]) ).
cnf(refute_0_649,plain,
( inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))) != inverse(multiply(X_63,multiply(X_64,X_63)))
| multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))) = multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,X_63)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))),multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))) = multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,X_63)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))),inverse(multiply(X_63,multiply(X_64,X_63)))) )],[refute_0_646,refute_0_649]) ).
cnf(refute_0_651,plain,
multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))) = multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))),
introduced(tautology,[refl,[$fot(multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))))]]) ).
cnf(refute_0_652,plain,
( multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))) != multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))))
| multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))) != multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,X_63))))
| multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))) = multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,X_63))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))),multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))))) ),[1,1],$fot(multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,X_63)))))]]) ).
cnf(refute_0_653,plain,
( multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))) != multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,X_63))))
| multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))) = multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,X_63))))) ),
inference(resolve,[$cnf( $equal(multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))),multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))))) )],[refute_0_651,refute_0_652]) ).
cnf(refute_0_654,plain,
multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))) = multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,X_63))))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))),multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,X_63))))) )],[refute_0_650,refute_0_653]) ).
cnf(refute_0_655,plain,
( multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,X_63))))) != commutator(X_64,multiply(X_64,X_63))
| multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))) != multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,X_63)))))
| multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))) = commutator(X_64,multiply(X_64,X_63)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))))),bind(Y0,$fot(multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,X_63))))))),bind(Z0,$fot(commutator(X_64,multiply(X_64,X_63))))]]) ).
cnf(refute_0_656,plain,
( multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,X_63))))) != commutator(X_64,multiply(X_64,X_63))
| multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))) = commutator(X_64,multiply(X_64,X_63)) ),
inference(resolve,[$cnf( $equal(multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))),multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,X_63)))))) )],[refute_0_654,refute_0_655]) ).
cnf(refute_0_657,plain,
multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))) = commutator(X_64,multiply(X_64,X_63)),
inference(resolve,[$cnf( $equal(multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,X_63))))),commutator(X_64,multiply(X_64,X_63))) )],[refute_0_633,refute_0_656]) ).
cnf(refute_0_658,plain,
( multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))) != commutator(X_64,multiply(X_64,X_63))
| commutator(multiply(X_64,inverse(X_63)),X_63) != multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))))
| commutator(multiply(X_64,inverse(X_63)),X_63) = commutator(X_64,multiply(X_64,X_63)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_64,inverse(X_63)),X_63),multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))))) ),[1],$fot(commutator(X_64,multiply(X_64,X_63)))]]) ).
cnf(refute_0_659,plain,
( commutator(multiply(X_64,inverse(X_63)),X_63) != multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))))
| commutator(multiply(X_64,inverse(X_63)),X_63) = commutator(X_64,multiply(X_64,X_63)) ),
inference(resolve,[$cnf( $equal(multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63))))))),commutator(X_64,multiply(X_64,X_63))) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
commutator(multiply(X_64,inverse(X_63)),X_63) = commutator(X_64,multiply(X_64,X_63)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_64,inverse(X_63)),X_63),multiply(X_64,multiply(inverse(X_63),inverse(multiply(X_63,multiply(X_64,inverse(inverse(X_63)))))))) )],[refute_0_589,refute_0_659]) ).
cnf(refute_0_661,plain,
commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)) = commutator(X_58,multiply(X_58,multiply(inverse(X_58),X_9))),
inference(subst,[],[refute_0_660:[bind(X_63,$fot(multiply(inverse(X_58),X_9))),bind(X_64,$fot(X_58))]]) ).
cnf(refute_0_662,plain,
( commutator(X_58,multiply(X_58,multiply(inverse(X_58),X_9))) != commutator(X_58,X_9)
| commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)) != commutator(X_58,multiply(X_58,multiply(inverse(X_58),X_9)))
| commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)) = commutator(X_58,X_9) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)))),bind(Y0,$fot(commutator(X_58,multiply(X_58,multiply(inverse(X_58),X_9))))),bind(Z0,$fot(commutator(X_58,X_9)))]]) ).
cnf(refute_0_663,plain,
( commutator(X_58,multiply(X_58,multiply(inverse(X_58),X_9))) != commutator(X_58,X_9)
| commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)) = commutator(X_58,X_9) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)),commutator(X_58,multiply(X_58,multiply(inverse(X_58),X_9)))) )],[refute_0_661,refute_0_662]) ).
cnf(refute_0_664,plain,
commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)) = commutator(X_58,X_9),
inference(resolve,[$cnf( $equal(commutator(X_58,multiply(X_58,multiply(inverse(X_58),X_9))),commutator(X_58,X_9)) )],[refute_0_555,refute_0_663]) ).
cnf(refute_0_665,plain,
( commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)) != commutator(X_58,X_9)
| commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)) != commutator(X_9,inverse(X_58))
| commutator(X_58,X_9) = commutator(X_9,inverse(X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)),commutator(X_9,inverse(X_58))) ),[0],$fot(commutator(X_58,X_9))]]) ).
cnf(refute_0_666,plain,
( commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)) != commutator(X_9,inverse(X_58))
| commutator(X_58,X_9) = commutator(X_9,inverse(X_58)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)),commutator(X_58,X_9)) )],[refute_0_664,refute_0_665]) ).
cnf(refute_0_667,plain,
commutator(X_58,X_9) = commutator(X_9,inverse(X_58)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_58,inverse(multiply(inverse(X_58),X_9))),multiply(inverse(X_58),X_9)),commutator(X_9,inverse(X_58))) )],[refute_0_548,refute_0_666]) ).
cnf(refute_0_668,plain,
( commutator(X_58,X_9) != commutator(X_9,inverse(X_58))
| commutator(X_9,inverse(X_58)) = commutator(X_58,X_9) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(commutator(X_58,X_9))),bind(Y0,$fot(commutator(X_9,inverse(X_58))))]]) ).
cnf(refute_0_669,plain,
commutator(X_9,inverse(X_58)) = commutator(X_58,X_9),
inference(resolve,[$cnf( $equal(commutator(X_58,X_9),commutator(X_9,inverse(X_58))) )],[refute_0_667,refute_0_668]) ).
cnf(refute_0_670,plain,
commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) = commutator(multiply(Y,multiply(X_45,inverse(Y))),X_45),
inference(subst,[],[refute_0_669:[bind(X_58,$fot(multiply(Y,multiply(X_45,inverse(Y))))),bind(X_9,$fot(X_45))]]) ).
cnf(refute_0_671,plain,
( commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) != commutator(multiply(Y,multiply(X_45,inverse(Y))),X_45)
| commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) != commutator(commutator(X_45,Y),inverse(X_45))
| commutator(multiply(Y,multiply(X_45,inverse(Y))),X_45) = commutator(commutator(X_45,Y),inverse(X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))),commutator(commutator(X_45,Y),inverse(X_45))) ),[0],$fot(commutator(multiply(Y,multiply(X_45,inverse(Y))),X_45))]]) ).
cnf(refute_0_672,plain,
( commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) != commutator(commutator(X_45,Y),inverse(X_45))
| commutator(multiply(Y,multiply(X_45,inverse(Y))),X_45) = commutator(commutator(X_45,Y),inverse(X_45)) ),
inference(resolve,[$cnf( $equal(commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))),commutator(multiply(Y,multiply(X_45,inverse(Y))),X_45)) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
commutator(commutator(X_45,Y),inverse(X_45)) = commutator(X_45,commutator(X_45,Y)),
inference(subst,[],[refute_0_669:[bind(X_58,$fot(X_45)),bind(X_9,$fot(commutator(X_45,Y)))]]) ).
cnf(refute_0_674,plain,
( commutator(multiply(Y,multiply(X_45,inverse(Y))),X_45) != commutator(commutator(X_45,Y),inverse(X_45))
| commutator(commutator(X_45,Y),inverse(X_45)) != commutator(X_45,commutator(X_45,Y))
| commutator(multiply(Y,multiply(X_45,inverse(Y))),X_45) = commutator(X_45,commutator(X_45,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(Y,multiply(X_45,inverse(Y))),X_45),commutator(X_45,commutator(X_45,Y))) ),[0],$fot(commutator(commutator(X_45,Y),inverse(X_45)))]]) ).
cnf(refute_0_675,plain,
( commutator(multiply(Y,multiply(X_45,inverse(Y))),X_45) != commutator(commutator(X_45,Y),inverse(X_45))
| commutator(multiply(Y,multiply(X_45,inverse(Y))),X_45) = commutator(X_45,commutator(X_45,Y)) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X_45,Y),inverse(X_45)),commutator(X_45,commutator(X_45,Y))) )],[refute_0_673,refute_0_674]) ).
cnf(refute_0_676,plain,
( commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))) != commutator(commutator(X_45,Y),inverse(X_45))
| commutator(multiply(Y,multiply(X_45,inverse(Y))),X_45) = commutator(X_45,commutator(X_45,Y)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(Y,multiply(X_45,inverse(Y))),X_45),commutator(commutator(X_45,Y),inverse(X_45))) )],[refute_0_672,refute_0_675]) ).
cnf(refute_0_677,plain,
commutator(multiply(Y,multiply(X_45,inverse(Y))),X_45) = commutator(X_45,commutator(X_45,Y)),
inference(resolve,[$cnf( $equal(commutator(X_45,inverse(multiply(Y,multiply(X_45,inverse(Y))))),commutator(commutator(X_45,Y),inverse(X_45))) )],[refute_0_532,refute_0_676]) ).
cnf(refute_0_678,plain,
commutator(multiply(Y,multiply(X_38,inverse(Y))),X_38) = commutator(X_38,commutator(X_38,Y)),
inference(subst,[],[refute_0_677:[bind(X_45,$fot(X_38))]]) ).
cnf(refute_0_679,plain,
multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))) = multiply(inverse(commutator(X_79,X_78)),inverse(multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78)))),
inference(subst,[],[refute_0_597:[bind(X_28,$fot(commutator(inverse(X_79),X_78))),bind(X_9,$fot(commutator(X_79,X_78)))]]) ).
cnf(refute_0_680,plain,
identity = multiply(multiply(X_47,multiply(X_48,inverse(X_47))),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))),
inference(subst,[],[refute_0_419:[bind(Y,$fot(multiply(X_47,multiply(X_48,inverse(X_47)))))]]) ).
cnf(refute_0_681,plain,
inverse(multiply(X_47,multiply(X_48,inverse(X_47)))) = multiply(inverse(X_48),commutator(X_48,X_47)),
inference(subst,[],[refute_0_410:[bind(Y,$fot(X_47)),bind(X_14,$fot(X_48))]]) ).
cnf(refute_0_682,plain,
( identity != multiply(multiply(X_47,multiply(X_48,inverse(X_47))),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))
| inverse(multiply(X_47,multiply(X_48,inverse(X_47)))) != multiply(inverse(X_48),commutator(X_48,X_47))
| identity = multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(X_48),commutator(X_48,X_47))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,multiply(multiply(X_47,multiply(X_48,inverse(X_47))),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))) ),[1,1],$fot(multiply(inverse(X_48),commutator(X_48,X_47)))]]) ).
cnf(refute_0_683,plain,
( identity != multiply(multiply(X_47,multiply(X_48,inverse(X_47))),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))
| identity = multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(X_48),commutator(X_48,X_47))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_47,multiply(X_48,inverse(X_47)))),multiply(inverse(X_48),commutator(X_48,X_47))) )],[refute_0_681,refute_0_682]) ).
cnf(refute_0_684,plain,
identity = multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(X_48),commutator(X_48,X_47))),
inference(resolve,[$cnf( $equal(identity,multiply(multiply(X_47,multiply(X_48,inverse(X_47))),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))) )],[refute_0_680,refute_0_683]) ).
cnf(refute_0_685,plain,
multiply(multiply(X_8,multiply(Y,multiply(inverse(X_8),inverse(Y)))),X_10) = multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10)),
inference(subst,[],[associativity:[bind(X,$fot(X_8)),bind(Y,$fot(multiply(Y,multiply(inverse(X_8),inverse(Y))))),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_686,plain,
commutator(X_8,Y) = multiply(X_8,multiply(Y,multiply(inverse(X_8),inverse(Y)))),
inference(subst,[],[commutator:[bind(X,$fot(X_8))]]) ).
cnf(refute_0_687,plain,
( commutator(X_8,Y) != multiply(X_8,multiply(Y,multiply(inverse(X_8),inverse(Y))))
| multiply(X_8,multiply(Y,multiply(inverse(X_8),inverse(Y)))) = commutator(X_8,Y) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(commutator(X_8,Y))),bind(Y0,$fot(multiply(X_8,multiply(Y,multiply(inverse(X_8),inverse(Y))))))]]) ).
cnf(refute_0_688,plain,
multiply(X_8,multiply(Y,multiply(inverse(X_8),inverse(Y)))) = commutator(X_8,Y),
inference(resolve,[$cnf( $equal(commutator(X_8,Y),multiply(X_8,multiply(Y,multiply(inverse(X_8),inverse(Y))))) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
( multiply(X_8,multiply(Y,multiply(inverse(X_8),inverse(Y)))) != commutator(X_8,Y)
| multiply(multiply(X_8,multiply(Y,multiply(inverse(X_8),inverse(Y)))),X_10) != multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10))
| multiply(commutator(X_8,Y),X_10) = multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_8,multiply(Y,multiply(inverse(X_8),inverse(Y)))),X_10),multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10))) ),[0,0],$fot(commutator(X_8,Y))]]) ).
cnf(refute_0_690,plain,
( multiply(multiply(X_8,multiply(Y,multiply(inverse(X_8),inverse(Y)))),X_10) != multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10))
| multiply(commutator(X_8,Y),X_10) = multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_8,multiply(Y,multiply(inverse(X_8),inverse(Y)))),commutator(X_8,Y)) )],[refute_0_688,refute_0_689]) ).
cnf(refute_0_691,plain,
multiply(commutator(X_8,Y),X_10) = multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_8,multiply(Y,multiply(inverse(X_8),inverse(Y)))),X_10),multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10))) )],[refute_0_685,refute_0_690]) ).
cnf(refute_0_692,plain,
multiply(multiply(inverse(X_8),inverse(Y)),X_10) = multiply(inverse(X_8),multiply(inverse(Y),X_10)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_8))),bind(Y,$fot(inverse(Y))),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_693,plain,
multiply(Y,multiply(multiply(inverse(X_8),inverse(Y)),X_10)) = multiply(Y,multiply(multiply(inverse(X_8),inverse(Y)),X_10)),
introduced(tautology,[refl,[$fot(multiply(Y,multiply(multiply(inverse(X_8),inverse(Y)),X_10)))]]) ).
cnf(refute_0_694,plain,
( multiply(Y,multiply(multiply(inverse(X_8),inverse(Y)),X_10)) != multiply(Y,multiply(multiply(inverse(X_8),inverse(Y)),X_10))
| multiply(multiply(inverse(X_8),inverse(Y)),X_10) != multiply(inverse(X_8),multiply(inverse(Y),X_10))
| multiply(Y,multiply(multiply(inverse(X_8),inverse(Y)),X_10)) = multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,multiply(multiply(inverse(X_8),inverse(Y)),X_10)),multiply(Y,multiply(multiply(inverse(X_8),inverse(Y)),X_10))) ),[1,1],$fot(multiply(inverse(X_8),multiply(inverse(Y),X_10)))]]) ).
cnf(refute_0_695,plain,
( multiply(multiply(inverse(X_8),inverse(Y)),X_10) != multiply(inverse(X_8),multiply(inverse(Y),X_10))
| multiply(Y,multiply(multiply(inverse(X_8),inverse(Y)),X_10)) = multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10))) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(multiply(inverse(X_8),inverse(Y)),X_10)),multiply(Y,multiply(multiply(inverse(X_8),inverse(Y)),X_10))) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
multiply(Y,multiply(multiply(inverse(X_8),inverse(Y)),X_10)) = multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_8),inverse(Y)),X_10),multiply(inverse(X_8),multiply(inverse(Y),X_10))) )],[refute_0_692,refute_0_695]) ).
cnf(refute_0_697,plain,
multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10) = multiply(Y,multiply(multiply(inverse(X_8),inverse(Y)),X_10)),
inference(subst,[],[associativity:[bind(X,$fot(Y)),bind(Y,$fot(multiply(inverse(X_8),inverse(Y)))),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_698,plain,
( multiply(Y,multiply(multiply(inverse(X_8),inverse(Y)),X_10)) != multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10)))
| multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10) != multiply(Y,multiply(multiply(inverse(X_8),inverse(Y)),X_10))
| multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10) = multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10))) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10))),bind(Y0,$fot(multiply(Y,multiply(multiply(inverse(X_8),inverse(Y)),X_10)))),bind(Z0,$fot(multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10)))))]]) ).
cnf(refute_0_699,plain,
( multiply(Y,multiply(multiply(inverse(X_8),inverse(Y)),X_10)) != multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10)))
| multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10) = multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10),multiply(Y,multiply(multiply(inverse(X_8),inverse(Y)),X_10))) )],[refute_0_697,refute_0_698]) ).
cnf(refute_0_700,plain,
multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10) = multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10))),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(multiply(inverse(X_8),inverse(Y)),X_10)),multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10)))) )],[refute_0_696,refute_0_699]) ).
cnf(refute_0_701,plain,
multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10)) = multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10)),
introduced(tautology,[refl,[$fot(multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10)))]]) ).
cnf(refute_0_702,plain,
( multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10)) != multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10))
| multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10) != multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10)))
| multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10)) = multiply(X_8,multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10)),multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10))) ),[1,1],$fot(multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10))))]]) ).
cnf(refute_0_703,plain,
( multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10) != multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10)))
| multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10)) = multiply(X_8,multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10)),multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10))) )],[refute_0_701,refute_0_702]) ).
cnf(refute_0_704,plain,
multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10)) = multiply(X_8,multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10)))),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10),multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10)))) )],[refute_0_700,refute_0_703]) ).
cnf(refute_0_705,plain,
( multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10)) != multiply(X_8,multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10))))
| multiply(commutator(X_8,Y),X_10) != multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10))
| multiply(commutator(X_8,Y),X_10) = multiply(X_8,multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_8,Y),X_10),multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10))) ),[1],$fot(multiply(X_8,multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10)))))]]) ).
cnf(refute_0_706,plain,
( multiply(commutator(X_8,Y),X_10) != multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10))
| multiply(commutator(X_8,Y),X_10) = multiply(X_8,multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10)),multiply(X_8,multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10))))) )],[refute_0_704,refute_0_705]) ).
cnf(refute_0_707,plain,
multiply(commutator(X_8,Y),X_10) = multiply(X_8,multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_8,Y),X_10),multiply(X_8,multiply(multiply(Y,multiply(inverse(X_8),inverse(Y))),X_10))) )],[refute_0_691,refute_0_706]) ).
cnf(refute_0_708,plain,
( multiply(commutator(X_8,Y),X_10) != multiply(X_8,multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10))))
| multiply(X_8,multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10)))) = multiply(commutator(X_8,Y),X_10) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(commutator(X_8,Y),X_10))),bind(Y0,$fot(multiply(X_8,multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10))))))]]) ).
cnf(refute_0_709,plain,
multiply(X_8,multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10)))) = multiply(commutator(X_8,Y),X_10),
inference(resolve,[$cnf( $equal(multiply(commutator(X_8,Y),X_10),multiply(X_8,multiply(Y,multiply(inverse(X_8),multiply(inverse(Y),X_10))))) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
multiply(X_47,multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),commutator(X_48,X_47))))) = multiply(commutator(X_47,X_48),commutator(X_48,X_47)),
inference(subst,[],[refute_0_709:[bind(Y,$fot(X_48)),bind(X_10,$fot(commutator(X_48,X_47))),bind(X_8,$fot(X_47))]]) ).
cnf(refute_0_711,plain,
multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47))) = multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),commutator(X_48,X_47)))),
inference(subst,[],[associativity:[bind(X,$fot(X_48)),bind(Y,$fot(inverse(X_47))),bind(Z,$fot(multiply(inverse(X_48),commutator(X_48,X_47))))]]) ).
cnf(refute_0_712,plain,
multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47)))) = multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47)))),
introduced(tautology,[refl,[$fot(multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47)))))]]) ).
cnf(refute_0_713,plain,
( multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47)))) != multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47))))
| multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47))) != multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),commutator(X_48,X_47))))
| multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47)))) = multiply(X_47,multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),commutator(X_48,X_47))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47)))),multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47))))) ),[1,1],$fot(multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),commutator(X_48,X_47)))))]]) ).
cnf(refute_0_714,plain,
( multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47))) != multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),commutator(X_48,X_47))))
| multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47)))) = multiply(X_47,multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),commutator(X_48,X_47))))) ),
inference(resolve,[$cnf( $equal(multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47)))),multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47))))) )],[refute_0_712,refute_0_713]) ).
cnf(refute_0_715,plain,
multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47)))) = multiply(X_47,multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),commutator(X_48,X_47))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47))),multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),commutator(X_48,X_47))))) )],[refute_0_711,refute_0_714]) ).
cnf(refute_0_716,plain,
( multiply(X_47,multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),commutator(X_48,X_47))))) != multiply(commutator(X_47,X_48),commutator(X_48,X_47))
| multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47)))) != multiply(X_47,multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),commutator(X_48,X_47)))))
| multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47)))) = multiply(commutator(X_47,X_48),commutator(X_48,X_47)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47)))))),bind(Y0,$fot(multiply(X_47,multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),commutator(X_48,X_47))))))),bind(Z0,$fot(multiply(commutator(X_47,X_48),commutator(X_48,X_47))))]]) ).
cnf(refute_0_717,plain,
( multiply(X_47,multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),commutator(X_48,X_47))))) != multiply(commutator(X_47,X_48),commutator(X_48,X_47))
| multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47)))) = multiply(commutator(X_47,X_48),commutator(X_48,X_47)) ),
inference(resolve,[$cnf( $equal(multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47)))),multiply(X_47,multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),commutator(X_48,X_47)))))) )],[refute_0_715,refute_0_716]) ).
cnf(refute_0_718,plain,
multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47)))) = multiply(commutator(X_47,X_48),commutator(X_48,X_47)),
inference(resolve,[$cnf( $equal(multiply(X_47,multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),commutator(X_48,X_47))))),multiply(commutator(X_47,X_48),commutator(X_48,X_47))) )],[refute_0_710,refute_0_717]) ).
cnf(refute_0_719,plain,
multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(X_48),commutator(X_48,X_47))) = multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47)))),
inference(subst,[],[associativity:[bind(X,$fot(X_47)),bind(Y,$fot(multiply(X_48,inverse(X_47)))),bind(Z,$fot(multiply(inverse(X_48),commutator(X_48,X_47))))]]) ).
cnf(refute_0_720,plain,
( multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47)))) != multiply(commutator(X_47,X_48),commutator(X_48,X_47))
| multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(X_48),commutator(X_48,X_47))) != multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47))))
| multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(X_48),commutator(X_48,X_47))) = multiply(commutator(X_47,X_48),commutator(X_48,X_47)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(X_48),commutator(X_48,X_47))))),bind(Y0,$fot(multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47)))))),bind(Z0,$fot(multiply(commutator(X_47,X_48),commutator(X_48,X_47))))]]) ).
cnf(refute_0_721,plain,
( multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47)))) != multiply(commutator(X_47,X_48),commutator(X_48,X_47))
| multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(X_48),commutator(X_48,X_47))) = multiply(commutator(X_47,X_48),commutator(X_48,X_47)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(X_48),commutator(X_48,X_47))),multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47))))) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(X_48),commutator(X_48,X_47))) = multiply(commutator(X_47,X_48),commutator(X_48,X_47)),
inference(resolve,[$cnf( $equal(multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(inverse(X_48),commutator(X_48,X_47)))),multiply(commutator(X_47,X_48),commutator(X_48,X_47))) )],[refute_0_718,refute_0_721]) ).
cnf(refute_0_723,plain,
( multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(X_48),commutator(X_48,X_47))) != multiply(commutator(X_47,X_48),commutator(X_48,X_47))
| identity != multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(X_48),commutator(X_48,X_47)))
| identity = multiply(commutator(X_47,X_48),commutator(X_48,X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(X_48),commutator(X_48,X_47)))) ),[1],$fot(multiply(commutator(X_47,X_48),commutator(X_48,X_47)))]]) ).
cnf(refute_0_724,plain,
( identity != multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(X_48),commutator(X_48,X_47)))
| identity = multiply(commutator(X_47,X_48),commutator(X_48,X_47)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(X_48),commutator(X_48,X_47))),multiply(commutator(X_47,X_48),commutator(X_48,X_47))) )],[refute_0_722,refute_0_723]) ).
cnf(refute_0_725,plain,
identity = multiply(commutator(X_47,X_48),commutator(X_48,X_47)),
inference(resolve,[$cnf( $equal(identity,multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(X_48),commutator(X_48,X_47)))) )],[refute_0_684,refute_0_724]) ).
cnf(refute_0_726,plain,
identity = multiply(commutator(multiply(X_71,inverse(X_48)),X_48),commutator(X_48,multiply(X_71,inverse(X_48)))),
inference(subst,[],[refute_0_725:[bind(X_47,$fot(multiply(X_71,inverse(X_48))))]]) ).
cnf(refute_0_727,plain,
commutator(multiply(Y,multiply(X_38,Y)),multiply(X_38,multiply(Y,multiply(X_38,Y)))) = commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y)))),
inference(subst,[],[refute_0_115:[bind(X_34,$fot(multiply(Y,multiply(X_38,Y)))),bind(X_35,$fot(X_38))]]) ).
cnf(refute_0_728,plain,
inverse(multiply(X_38,Y)) = multiply(X_38,multiply(Y,multiply(X_38,Y))),
inference(subst,[],[refute_0_365:[bind(X,$fot(X_38))]]) ).
cnf(refute_0_729,plain,
( inverse(multiply(X_38,Y)) != multiply(X_38,multiply(Y,multiply(X_38,Y)))
| multiply(X_38,multiply(Y,multiply(X_38,Y))) = inverse(multiply(X_38,Y)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(inverse(multiply(X_38,Y)))),bind(Y0,$fot(multiply(X_38,multiply(Y,multiply(X_38,Y)))))]]) ).
cnf(refute_0_730,plain,
multiply(X_38,multiply(Y,multiply(X_38,Y))) = inverse(multiply(X_38,Y)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_38,Y)),multiply(X_38,multiply(Y,multiply(X_38,Y)))) )],[refute_0_728,refute_0_729]) ).
cnf(refute_0_731,plain,
( multiply(X_38,multiply(Y,multiply(X_38,Y))) != inverse(multiply(X_38,Y))
| commutator(multiply(Y,multiply(X_38,Y)),multiply(X_38,multiply(Y,multiply(X_38,Y)))) != commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y))))
| commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))) = commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(Y,multiply(X_38,Y)),multiply(X_38,multiply(Y,multiply(X_38,Y)))),commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y))))) ),[0,1],$fot(inverse(multiply(X_38,Y)))]]) ).
cnf(refute_0_732,plain,
( commutator(multiply(Y,multiply(X_38,Y)),multiply(X_38,multiply(Y,multiply(X_38,Y)))) != commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y))))
| commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))) = commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y)))) ),
inference(resolve,[$cnf( $equal(multiply(X_38,multiply(Y,multiply(X_38,Y))),inverse(multiply(X_38,Y))) )],[refute_0_730,refute_0_731]) ).
cnf(refute_0_733,plain,
commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))) = commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y)))),
inference(resolve,[$cnf( $equal(commutator(multiply(Y,multiply(X_38,Y)),multiply(X_38,multiply(Y,multiply(X_38,Y)))),commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y))))) )],[refute_0_727,refute_0_732]) ).
cnf(refute_0_734,plain,
commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y)))) = commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y)))),
introduced(tautology,[refl,[$fot(commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y)))))]]) ).
cnf(refute_0_735,plain,
( multiply(X_38,multiply(Y,multiply(X_38,Y))) != inverse(multiply(X_38,Y))
| commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y)))) != commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y))))
| commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y)))) = commutator(inverse(X_38),inverse(multiply(X_38,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y)))),commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y))))) ),[1,1],$fot(inverse(multiply(X_38,Y)))]]) ).
cnf(refute_0_736,plain,
( multiply(X_38,multiply(Y,multiply(X_38,Y))) != inverse(multiply(X_38,Y))
| commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y)))) = commutator(inverse(X_38),inverse(multiply(X_38,Y))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y)))),commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y))))) )],[refute_0_734,refute_0_735]) ).
cnf(refute_0_737,plain,
commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y)))) = commutator(inverse(X_38),inverse(multiply(X_38,Y))),
inference(resolve,[$cnf( $equal(multiply(X_38,multiply(Y,multiply(X_38,Y))),inverse(multiply(X_38,Y))) )],[refute_0_730,refute_0_736]) ).
cnf(refute_0_738,plain,
( commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))) != commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y))))
| commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y)))) != commutator(inverse(X_38),inverse(multiply(X_38,Y)))
| commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))) = commutator(inverse(X_38),inverse(multiply(X_38,Y))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))),commutator(inverse(X_38),inverse(multiply(X_38,Y)))) ),[0],$fot(commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y)))))]]) ).
cnf(refute_0_739,plain,
( commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))) != commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y))))
| commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))) = commutator(inverse(X_38),inverse(multiply(X_38,Y))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y)))),commutator(inverse(X_38),inverse(multiply(X_38,Y)))) )],[refute_0_737,refute_0_738]) ).
cnf(refute_0_740,plain,
commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))) = commutator(inverse(X_38),inverse(multiply(X_38,Y))),
inference(resolve,[$cnf( $equal(commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))),commutator(inverse(X_38),multiply(X_38,multiply(Y,multiply(X_38,Y))))) )],[refute_0_733,refute_0_739]) ).
cnf(refute_0_741,plain,
commutator(multiply(X_38,Y),Y) = commutator(X_38,Y),
inference(subst,[],[refute_0_334:[bind(X_10,$fot(Y)),bind(X_9,$fot(X_38))]]) ).
cnf(refute_0_742,plain,
commutator(multiply(X_38,Y),multiply(Y,multiply(X_38,Y))) = commutator(multiply(X_38,Y),Y),
inference(subst,[],[refute_0_522:[bind(X_34,$fot(multiply(X_38,Y))),bind(X_35,$fot(Y))]]) ).
cnf(refute_0_743,plain,
( commutator(multiply(X_38,Y),Y) != commutator(X_38,Y)
| commutator(multiply(X_38,Y),multiply(Y,multiply(X_38,Y))) != commutator(multiply(X_38,Y),Y)
| commutator(multiply(X_38,Y),multiply(Y,multiply(X_38,Y))) = commutator(X_38,Y) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(commutator(multiply(X_38,Y),multiply(Y,multiply(X_38,Y))))),bind(Y0,$fot(commutator(multiply(X_38,Y),Y))),bind(Z0,$fot(commutator(X_38,Y)))]]) ).
cnf(refute_0_744,plain,
( commutator(multiply(X_38,Y),Y) != commutator(X_38,Y)
| commutator(multiply(X_38,Y),multiply(Y,multiply(X_38,Y))) = commutator(X_38,Y) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_38,Y),multiply(Y,multiply(X_38,Y))),commutator(multiply(X_38,Y),Y)) )],[refute_0_742,refute_0_743]) ).
cnf(refute_0_745,plain,
commutator(multiply(X_38,Y),multiply(Y,multiply(X_38,Y))) = commutator(X_38,Y),
inference(resolve,[$cnf( $equal(commutator(multiply(X_38,Y),Y),commutator(X_38,Y)) )],[refute_0_741,refute_0_744]) ).
cnf(refute_0_746,plain,
commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))) = commutator(multiply(X_38,Y),multiply(Y,multiply(X_38,Y))),
inference(subst,[],[refute_0_669:[bind(X_58,$fot(multiply(X_38,Y))),bind(X_9,$fot(multiply(Y,multiply(X_38,Y))))]]) ).
cnf(refute_0_747,plain,
( commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))) != commutator(multiply(X_38,Y),multiply(Y,multiply(X_38,Y)))
| commutator(multiply(X_38,Y),multiply(Y,multiply(X_38,Y))) != commutator(X_38,Y)
| commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))) = commutator(X_38,Y) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))))),bind(Y0,$fot(commutator(multiply(X_38,Y),multiply(Y,multiply(X_38,Y))))),bind(Z0,$fot(commutator(X_38,Y)))]]) ).
cnf(refute_0_748,plain,
( commutator(multiply(X_38,Y),multiply(Y,multiply(X_38,Y))) != commutator(X_38,Y)
| commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))) = commutator(X_38,Y) ),
inference(resolve,[$cnf( $equal(commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))),commutator(multiply(X_38,Y),multiply(Y,multiply(X_38,Y)))) )],[refute_0_746,refute_0_747]) ).
cnf(refute_0_749,plain,
commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))) = commutator(X_38,Y),
inference(resolve,[$cnf( $equal(commutator(multiply(X_38,Y),multiply(Y,multiply(X_38,Y))),commutator(X_38,Y)) )],[refute_0_745,refute_0_748]) ).
cnf(refute_0_750,plain,
( commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))) != commutator(X_38,Y)
| commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))) != commutator(inverse(X_38),inverse(multiply(X_38,Y)))
| commutator(X_38,Y) = commutator(inverse(X_38),inverse(multiply(X_38,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))),commutator(inverse(X_38),inverse(multiply(X_38,Y)))) ),[0],$fot(commutator(X_38,Y))]]) ).
cnf(refute_0_751,plain,
( commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))) != commutator(inverse(X_38),inverse(multiply(X_38,Y)))
| commutator(X_38,Y) = commutator(inverse(X_38),inverse(multiply(X_38,Y))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))),commutator(X_38,Y)) )],[refute_0_749,refute_0_750]) ).
cnf(refute_0_752,plain,
commutator(multiply(X_38,Y),inverse(X_38)) = commutator(X_38,multiply(X_38,Y)),
inference(subst,[],[refute_0_669:[bind(X_58,$fot(X_38)),bind(X_9,$fot(multiply(X_38,Y)))]]) ).
cnf(refute_0_753,plain,
commutator(inverse(X_38),inverse(multiply(X_38,Y))) = commutator(multiply(X_38,Y),inverse(X_38)),
inference(subst,[],[refute_0_669:[bind(X_58,$fot(multiply(X_38,Y))),bind(X_9,$fot(inverse(X_38)))]]) ).
cnf(refute_0_754,plain,
( commutator(multiply(X_38,Y),inverse(X_38)) != commutator(X_38,multiply(X_38,Y))
| commutator(inverse(X_38),inverse(multiply(X_38,Y))) != commutator(multiply(X_38,Y),inverse(X_38))
| commutator(inverse(X_38),inverse(multiply(X_38,Y))) = commutator(X_38,multiply(X_38,Y)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(commutator(inverse(X_38),inverse(multiply(X_38,Y))))),bind(Y0,$fot(commutator(multiply(X_38,Y),inverse(X_38)))),bind(Z0,$fot(commutator(X_38,multiply(X_38,Y))))]]) ).
cnf(refute_0_755,plain,
( commutator(multiply(X_38,Y),inverse(X_38)) != commutator(X_38,multiply(X_38,Y))
| commutator(inverse(X_38),inverse(multiply(X_38,Y))) = commutator(X_38,multiply(X_38,Y)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_38),inverse(multiply(X_38,Y))),commutator(multiply(X_38,Y),inverse(X_38))) )],[refute_0_753,refute_0_754]) ).
cnf(refute_0_756,plain,
commutator(inverse(X_38),inverse(multiply(X_38,Y))) = commutator(X_38,multiply(X_38,Y)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_38,Y),inverse(X_38)),commutator(X_38,multiply(X_38,Y))) )],[refute_0_752,refute_0_755]) ).
cnf(refute_0_757,plain,
( commutator(X_38,Y) != commutator(inverse(X_38),inverse(multiply(X_38,Y)))
| commutator(inverse(X_38),inverse(multiply(X_38,Y))) != commutator(X_38,multiply(X_38,Y))
| commutator(X_38,Y) = commutator(X_38,multiply(X_38,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_38,Y),commutator(X_38,multiply(X_38,Y))) ),[0],$fot(commutator(inverse(X_38),inverse(multiply(X_38,Y))))]]) ).
cnf(refute_0_758,plain,
( commutator(X_38,Y) != commutator(inverse(X_38),inverse(multiply(X_38,Y)))
| commutator(X_38,Y) = commutator(X_38,multiply(X_38,Y)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_38),inverse(multiply(X_38,Y))),commutator(X_38,multiply(X_38,Y))) )],[refute_0_756,refute_0_757]) ).
cnf(refute_0_759,plain,
( commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))) != commutator(inverse(X_38),inverse(multiply(X_38,Y)))
| commutator(X_38,Y) = commutator(X_38,multiply(X_38,Y)) ),
inference(resolve,[$cnf( $equal(commutator(X_38,Y),commutator(inverse(X_38),inverse(multiply(X_38,Y)))) )],[refute_0_751,refute_0_758]) ).
cnf(refute_0_760,plain,
commutator(X_38,Y) = commutator(X_38,multiply(X_38,Y)),
inference(resolve,[$cnf( $equal(commutator(multiply(Y,multiply(X_38,Y)),inverse(multiply(X_38,Y))),commutator(inverse(X_38),inverse(multiply(X_38,Y)))) )],[refute_0_740,refute_0_759]) ).
cnf(refute_0_761,plain,
( commutator(X_38,Y) != commutator(X_38,multiply(X_38,Y))
| commutator(X_38,multiply(X_38,Y)) = commutator(X_38,Y) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(commutator(X_38,Y))),bind(Y0,$fot(commutator(X_38,multiply(X_38,Y))))]]) ).
cnf(refute_0_762,plain,
commutator(X_38,multiply(X_38,Y)) = commutator(X_38,Y),
inference(resolve,[$cnf( $equal(commutator(X_38,Y),commutator(X_38,multiply(X_38,Y))) )],[refute_0_760,refute_0_761]) ).
cnf(refute_0_763,plain,
commutator(X_64,multiply(X_64,X_63)) = commutator(X_64,X_63),
inference(subst,[],[refute_0_762:[bind(Y,$fot(X_63)),bind(X_38,$fot(X_64))]]) ).
cnf(refute_0_764,plain,
( commutator(X_64,multiply(X_64,X_63)) != commutator(X_64,X_63)
| commutator(multiply(X_64,inverse(X_63)),X_63) != commutator(X_64,multiply(X_64,X_63))
| commutator(multiply(X_64,inverse(X_63)),X_63) = commutator(X_64,X_63) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_64,inverse(X_63)),X_63),commutator(X_64,multiply(X_64,X_63))) ),[1],$fot(commutator(X_64,X_63))]]) ).
cnf(refute_0_765,plain,
( commutator(multiply(X_64,inverse(X_63)),X_63) != commutator(X_64,multiply(X_64,X_63))
| commutator(multiply(X_64,inverse(X_63)),X_63) = commutator(X_64,X_63) ),
inference(resolve,[$cnf( $equal(commutator(X_64,multiply(X_64,X_63)),commutator(X_64,X_63)) )],[refute_0_763,refute_0_764]) ).
cnf(refute_0_766,plain,
commutator(multiply(X_64,inverse(X_63)),X_63) = commutator(X_64,X_63),
inference(resolve,[$cnf( $equal(commutator(multiply(X_64,inverse(X_63)),X_63),commutator(X_64,multiply(X_64,X_63))) )],[refute_0_660,refute_0_765]) ).
cnf(refute_0_767,plain,
commutator(multiply(X_71,inverse(X_48)),X_48) = commutator(X_71,X_48),
inference(subst,[],[refute_0_766:[bind(X_63,$fot(X_48)),bind(X_64,$fot(X_71))]]) ).
cnf(refute_0_768,plain,
( commutator(multiply(X_71,inverse(X_48)),X_48) != commutator(X_71,X_48)
| identity != multiply(commutator(multiply(X_71,inverse(X_48)),X_48),commutator(X_48,multiply(X_71,inverse(X_48))))
| identity = multiply(commutator(X_71,X_48),commutator(X_48,multiply(X_71,inverse(X_48)))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,multiply(commutator(multiply(X_71,inverse(X_48)),X_48),commutator(X_48,multiply(X_71,inverse(X_48))))) ),[1,0],$fot(commutator(X_71,X_48))]]) ).
cnf(refute_0_769,plain,
( identity != multiply(commutator(multiply(X_71,inverse(X_48)),X_48),commutator(X_48,multiply(X_71,inverse(X_48))))
| identity = multiply(commutator(X_71,X_48),commutator(X_48,multiply(X_71,inverse(X_48)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_71,inverse(X_48)),X_48),commutator(X_71,X_48)) )],[refute_0_767,refute_0_768]) ).
cnf(refute_0_770,plain,
identity = multiply(commutator(X_71,X_48),commutator(X_48,multiply(X_71,inverse(X_48)))),
inference(resolve,[$cnf( $equal(identity,multiply(commutator(multiply(X_71,inverse(X_48)),X_48),commutator(X_48,multiply(X_71,inverse(X_48))))) )],[refute_0_726,refute_0_769]) ).
cnf(refute_0_771,plain,
identity = multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_77,inverse(multiply(inverse(X_77),X_28))))),
inference(subst,[],[refute_0_770:[bind(X_48,$fot(multiply(inverse(X_77),X_28))),bind(X_71,$fot(X_77))]]) ).
cnf(refute_0_772,plain,
multiply(X_28,multiply(inverse(X_77),X_28)) = multiply(X_77,inverse(multiply(inverse(X_77),X_28))),
inference(subst,[],[refute_0_540:[bind(X_8,$fot(X_77))]]) ).
cnf(refute_0_773,plain,
( multiply(X_28,multiply(inverse(X_77),X_28)) != multiply(X_77,inverse(multiply(inverse(X_77),X_28)))
| multiply(X_77,inverse(multiply(inverse(X_77),X_28))) = multiply(X_28,multiply(inverse(X_77),X_28)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(X_28,multiply(inverse(X_77),X_28)))),bind(Y0,$fot(multiply(X_77,inverse(multiply(inverse(X_77),X_28)))))]]) ).
cnf(refute_0_774,plain,
multiply(X_77,inverse(multiply(inverse(X_77),X_28))) = multiply(X_28,multiply(inverse(X_77),X_28)),
inference(resolve,[$cnf( $equal(multiply(X_28,multiply(inverse(X_77),X_28)),multiply(X_77,inverse(multiply(inverse(X_77),X_28)))) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
( multiply(X_77,inverse(multiply(inverse(X_77),X_28))) != multiply(X_28,multiply(inverse(X_77),X_28))
| identity != multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_77,inverse(multiply(inverse(X_77),X_28)))))
| identity = multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_77,inverse(multiply(inverse(X_77),X_28)))))) ),[1,1,1],$fot(multiply(X_28,multiply(inverse(X_77),X_28)))]]) ).
cnf(refute_0_776,plain,
( identity != multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_77,inverse(multiply(inverse(X_77),X_28)))))
| identity = multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) ),
inference(resolve,[$cnf( $equal(multiply(X_77,inverse(multiply(inverse(X_77),X_28))),multiply(X_28,multiply(inverse(X_77),X_28))) )],[refute_0_774,refute_0_775]) ).
cnf(refute_0_777,plain,
identity = multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))),
inference(resolve,[$cnf( $equal(identity,multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_77,inverse(multiply(inverse(X_77),X_28)))))) )],[refute_0_771,refute_0_776]) ).
cnf(refute_0_778,plain,
commutator(multiply(inverse(X_77),X_28),X_28) = commutator(inverse(X_77),X_28),
inference(subst,[],[refute_0_334:[bind(X_10,$fot(X_28)),bind(X_9,$fot(inverse(X_77)))]]) ).
cnf(refute_0_779,plain,
commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))) = commutator(multiply(inverse(X_77),X_28),X_28),
inference(subst,[],[refute_0_522:[bind(X_34,$fot(multiply(inverse(X_77),X_28))),bind(X_35,$fot(X_28))]]) ).
cnf(refute_0_780,plain,
( commutator(multiply(inverse(X_77),X_28),X_28) != commutator(inverse(X_77),X_28)
| commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))) != commutator(multiply(inverse(X_77),X_28),X_28)
| commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))) = commutator(inverse(X_77),X_28) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))))),bind(Y0,$fot(commutator(multiply(inverse(X_77),X_28),X_28))),bind(Z0,$fot(commutator(inverse(X_77),X_28)))]]) ).
cnf(refute_0_781,plain,
( commutator(multiply(inverse(X_77),X_28),X_28) != commutator(inverse(X_77),X_28)
| commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))) = commutator(inverse(X_77),X_28) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))),commutator(multiply(inverse(X_77),X_28),X_28)) )],[refute_0_779,refute_0_780]) ).
cnf(refute_0_782,plain,
commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))) = commutator(inverse(X_77),X_28),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_77),X_28),X_28),commutator(inverse(X_77),X_28)) )],[refute_0_778,refute_0_781]) ).
cnf(refute_0_783,plain,
multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) = multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))))]]) ).
cnf(refute_0_784,plain,
( multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) != multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))))
| commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))) != commutator(inverse(X_77),X_28)
| multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) = multiply(commutator(X_77,X_28),commutator(inverse(X_77),X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))),multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))))) ),[1,1],$fot(commutator(inverse(X_77),X_28))]]) ).
cnf(refute_0_785,plain,
( commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))) != commutator(inverse(X_77),X_28)
| multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) = multiply(commutator(X_77,X_28),commutator(inverse(X_77),X_28)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))),multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))))) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) = multiply(commutator(X_77,X_28),commutator(inverse(X_77),X_28)),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))),commutator(inverse(X_77),X_28)) )],[refute_0_782,refute_0_785]) ).
cnf(refute_0_787,plain,
commutator(X_37,inverse(X_10)) = commutator(X_10,X_37),
inference(subst,[],[refute_0_669:[bind(X_58,$fot(X_10)),bind(X_9,$fot(X_37))]]) ).
cnf(refute_0_788,plain,
( commutator(X_37,inverse(X_10)) != commutator(X_10,X_37)
| commutator(X_37,inverse(X_10)) != commutator(X_10,multiply(inverse(X_10),X_37))
| commutator(X_10,X_37) = commutator(X_10,multiply(inverse(X_10),X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_37,inverse(X_10)),commutator(X_10,multiply(inverse(X_10),X_37))) ),[0],$fot(commutator(X_10,X_37))]]) ).
cnf(refute_0_789,plain,
( commutator(X_37,inverse(X_10)) != commutator(X_10,multiply(inverse(X_10),X_37))
| commutator(X_10,X_37) = commutator(X_10,multiply(inverse(X_10),X_37)) ),
inference(resolve,[$cnf( $equal(commutator(X_37,inverse(X_10)),commutator(X_10,X_37)) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
commutator(X_10,X_37) = commutator(X_10,multiply(inverse(X_10),X_37)),
inference(resolve,[$cnf( $equal(commutator(X_37,inverse(X_10)),commutator(X_10,multiply(inverse(X_10),X_37))) )],[refute_0_526,refute_0_789]) ).
cnf(refute_0_791,plain,
( commutator(X_10,X_37) != commutator(X_10,multiply(inverse(X_10),X_37))
| commutator(X_10,multiply(inverse(X_10),X_37)) = commutator(X_10,X_37) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(commutator(X_10,X_37))),bind(Y0,$fot(commutator(X_10,multiply(inverse(X_10),X_37))))]]) ).
cnf(refute_0_792,plain,
commutator(X_10,multiply(inverse(X_10),X_37)) = commutator(X_10,X_37),
inference(resolve,[$cnf( $equal(commutator(X_10,X_37),commutator(X_10,multiply(inverse(X_10),X_37))) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
commutator(X_77,multiply(inverse(X_77),X_28)) = commutator(X_77,X_28),
inference(subst,[],[refute_0_792:[bind(X_10,$fot(X_77)),bind(X_37,$fot(X_28))]]) ).
cnf(refute_0_794,plain,
multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) = multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))))]]) ).
cnf(refute_0_795,plain,
( multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) != multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))))
| commutator(X_77,multiply(inverse(X_77),X_28)) != commutator(X_77,X_28)
| multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) = multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))),multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))))) ),[1,0],$fot(commutator(X_77,X_28))]]) ).
cnf(refute_0_796,plain,
( commutator(X_77,multiply(inverse(X_77),X_28)) != commutator(X_77,X_28)
| multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) = multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))),multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))))) )],[refute_0_794,refute_0_795]) ).
cnf(refute_0_797,plain,
multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) = multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))),
inference(resolve,[$cnf( $equal(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(X_77,X_28)) )],[refute_0_793,refute_0_796]) ).
cnf(refute_0_798,plain,
( multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) != multiply(commutator(X_77,X_28),commutator(inverse(X_77),X_28))
| multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) != multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))))
| multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) = multiply(commutator(X_77,X_28),commutator(inverse(X_77),X_28)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))))),bind(Y0,$fot(multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))))),bind(Z0,$fot(multiply(commutator(X_77,X_28),commutator(inverse(X_77),X_28))))]]) ).
cnf(refute_0_799,plain,
( multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) != multiply(commutator(X_77,X_28),commutator(inverse(X_77),X_28))
| multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) = multiply(commutator(X_77,X_28),commutator(inverse(X_77),X_28)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))),multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))))) )],[refute_0_797,refute_0_798]) ).
cnf(refute_0_800,plain,
multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) = multiply(commutator(X_77,X_28),commutator(inverse(X_77),X_28)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_77,X_28),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))),multiply(commutator(X_77,X_28),commutator(inverse(X_77),X_28))) )],[refute_0_786,refute_0_799]) ).
cnf(refute_0_801,plain,
( multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))) != multiply(commutator(X_77,X_28),commutator(inverse(X_77),X_28))
| identity != multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))))
| identity = multiply(commutator(X_77,X_28),commutator(inverse(X_77),X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))))) ),[1],$fot(multiply(commutator(X_77,X_28),commutator(inverse(X_77),X_28)))]]) ).
cnf(refute_0_802,plain,
( identity != multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))))
| identity = multiply(commutator(X_77,X_28),commutator(inverse(X_77),X_28)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28)))),multiply(commutator(X_77,X_28),commutator(inverse(X_77),X_28))) )],[refute_0_800,refute_0_801]) ).
cnf(refute_0_803,plain,
identity = multiply(commutator(X_77,X_28),commutator(inverse(X_77),X_28)),
inference(resolve,[$cnf( $equal(identity,multiply(commutator(X_77,multiply(inverse(X_77),X_28)),commutator(multiply(inverse(X_77),X_28),multiply(X_28,multiply(inverse(X_77),X_28))))) )],[refute_0_777,refute_0_802]) ).
cnf(refute_0_804,plain,
identity = multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78)),
inference(subst,[],[refute_0_803:[bind(X_28,$fot(X_78)),bind(X_77,$fot(X_79))]]) ).
cnf(refute_0_805,plain,
( identity != multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))
| multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78)) = identity ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(identity)),bind(Y0,$fot(multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))))]]) ).
cnf(refute_0_806,plain,
multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78)) = identity,
inference(resolve,[$cnf( $equal(identity,multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
( multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78)) != identity
| multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))) != multiply(inverse(commutator(X_79,X_78)),inverse(multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))))
| multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))) = multiply(inverse(commutator(X_79,X_78)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))),multiply(inverse(commutator(X_79,X_78)),inverse(multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))))) ),[1,1,0],$fot(identity)]]) ).
cnf(refute_0_808,plain,
( multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))) != multiply(inverse(commutator(X_79,X_78)),inverse(multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))))
| multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))) = multiply(inverse(commutator(X_79,X_78)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78)),identity) )],[refute_0_806,refute_0_807]) ).
cnf(refute_0_809,plain,
multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))) = multiply(inverse(commutator(X_79,X_78)),inverse(identity)),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))),multiply(inverse(commutator(X_79,X_78)),inverse(multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))))) )],[refute_0_679,refute_0_808]) ).
cnf(refute_0_810,plain,
multiply(commutator(inverse(X_79),X_78),identity) = commutator(inverse(X_79),X_78),
inference(subst,[],[refute_0_49:[bind(X_13,$fot(commutator(inverse(X_79),X_78)))]]) ).
cnf(refute_0_811,plain,
multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))) = multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))),
introduced(tautology,[refl,[$fot(multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))))]]) ).
cnf(refute_0_812,plain,
( multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78)) != identity
| multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))) != multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78)))
| multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))) = multiply(commutator(inverse(X_79),X_78),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))),multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_813,plain,
( multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78)) != identity
| multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))) = multiply(commutator(inverse(X_79),X_78),identity) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))),multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78)))) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))) = multiply(commutator(inverse(X_79),X_78),identity),
inference(resolve,[$cnf( $equal(multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78)),identity) )],[refute_0_806,refute_0_813]) ).
cnf(refute_0_815,plain,
( multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))) != multiply(commutator(inverse(X_79),X_78),identity)
| multiply(commutator(inverse(X_79),X_78),identity) != commutator(inverse(X_79),X_78)
| multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))) = commutator(inverse(X_79),X_78) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))))),bind(Y0,$fot(multiply(commutator(inverse(X_79),X_78),identity))),bind(Z0,$fot(commutator(inverse(X_79),X_78)))]]) ).
cnf(refute_0_816,plain,
( multiply(commutator(inverse(X_79),X_78),identity) != commutator(inverse(X_79),X_78)
| multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))) = commutator(inverse(X_79),X_78) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))),multiply(commutator(inverse(X_79),X_78),identity)) )],[refute_0_814,refute_0_815]) ).
cnf(refute_0_817,plain,
multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))) = commutator(inverse(X_79),X_78),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_79),X_78),identity),commutator(inverse(X_79),X_78)) )],[refute_0_810,refute_0_816]) ).
cnf(refute_0_818,plain,
( multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))) != multiply(inverse(commutator(X_79,X_78)),inverse(identity))
| multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))) != commutator(inverse(X_79),X_78)
| commutator(inverse(X_79),X_78) = multiply(inverse(commutator(X_79,X_78)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))),multiply(inverse(commutator(X_79,X_78)),inverse(identity))) ),[0],$fot(commutator(inverse(X_79),X_78))]]) ).
cnf(refute_0_819,plain,
( multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))) != multiply(inverse(commutator(X_79,X_78)),inverse(identity))
| commutator(inverse(X_79),X_78) = multiply(inverse(commutator(X_79,X_78)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))),commutator(inverse(X_79),X_78)) )],[refute_0_817,refute_0_818]) ).
cnf(refute_0_820,plain,
multiply(commutator(X_78,X_79),identity) = commutator(X_78,X_79),
inference(subst,[],[refute_0_49:[bind(X_13,$fot(commutator(X_78,X_79)))]]) ).
cnf(refute_0_821,plain,
multiply(commutator(X_78,X_79),inverse(identity)) = multiply(commutator(X_78,X_79),inverse(identity)),
introduced(tautology,[refl,[$fot(multiply(commutator(X_78,X_79),inverse(identity)))]]) ).
cnf(refute_0_822,plain,
( multiply(commutator(X_78,X_79),inverse(identity)) != multiply(commutator(X_78,X_79),inverse(identity))
| inverse(identity) != identity
| multiply(commutator(X_78,X_79),inverse(identity)) = multiply(commutator(X_78,X_79),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_78,X_79),inverse(identity)),multiply(commutator(X_78,X_79),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_823,plain,
( inverse(identity) != identity
| multiply(commutator(X_78,X_79),inverse(identity)) = multiply(commutator(X_78,X_79),identity) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_78,X_79),inverse(identity)),multiply(commutator(X_78,X_79),inverse(identity))) )],[refute_0_821,refute_0_822]) ).
cnf(refute_0_824,plain,
multiply(commutator(X_78,X_79),inverse(identity)) = multiply(commutator(X_78,X_79),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_195,refute_0_823]) ).
cnf(refute_0_825,plain,
multiply(commutator(X_50,X_49),multiply(commutator(X_49,X_50),commutator(X_50,X_49))) = multiply(inverse(commutator(X_49,X_50)),inverse(multiply(commutator(X_49,X_50),commutator(X_50,X_49)))),
inference(subst,[],[refute_0_597:[bind(X_28,$fot(commutator(X_50,X_49))),bind(X_9,$fot(commutator(X_49,X_50)))]]) ).
cnf(refute_0_826,plain,
identity = multiply(commutator(X_49,X_50),commutator(X_50,X_49)),
inference(subst,[],[refute_0_725:[bind(X_47,$fot(X_49)),bind(X_48,$fot(X_50))]]) ).
cnf(refute_0_827,plain,
( identity != multiply(commutator(X_49,X_50),commutator(X_50,X_49))
| multiply(commutator(X_49,X_50),commutator(X_50,X_49)) = identity ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(identity)),bind(Y0,$fot(multiply(commutator(X_49,X_50),commutator(X_50,X_49))))]]) ).
cnf(refute_0_828,plain,
multiply(commutator(X_49,X_50),commutator(X_50,X_49)) = identity,
inference(resolve,[$cnf( $equal(identity,multiply(commutator(X_49,X_50),commutator(X_50,X_49))) )],[refute_0_826,refute_0_827]) ).
cnf(refute_0_829,plain,
( multiply(commutator(X_49,X_50),commutator(X_50,X_49)) != identity
| multiply(commutator(X_50,X_49),multiply(commutator(X_49,X_50),commutator(X_50,X_49))) != multiply(inverse(commutator(X_49,X_50)),inverse(multiply(commutator(X_49,X_50),commutator(X_50,X_49))))
| multiply(commutator(X_50,X_49),multiply(commutator(X_49,X_50),commutator(X_50,X_49))) = multiply(inverse(commutator(X_49,X_50)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_50,X_49),multiply(commutator(X_49,X_50),commutator(X_50,X_49))),multiply(inverse(commutator(X_49,X_50)),inverse(multiply(commutator(X_49,X_50),commutator(X_50,X_49))))) ),[1,1,0],$fot(identity)]]) ).
cnf(refute_0_830,plain,
( multiply(commutator(X_50,X_49),multiply(commutator(X_49,X_50),commutator(X_50,X_49))) != multiply(inverse(commutator(X_49,X_50)),inverse(multiply(commutator(X_49,X_50),commutator(X_50,X_49))))
| multiply(commutator(X_50,X_49),multiply(commutator(X_49,X_50),commutator(X_50,X_49))) = multiply(inverse(commutator(X_49,X_50)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_49,X_50),commutator(X_50,X_49)),identity) )],[refute_0_828,refute_0_829]) ).
cnf(refute_0_831,plain,
multiply(commutator(X_50,X_49),multiply(commutator(X_49,X_50),commutator(X_50,X_49))) = multiply(inverse(commutator(X_49,X_50)),inverse(identity)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_50,X_49),multiply(commutator(X_49,X_50),commutator(X_50,X_49))),multiply(inverse(commutator(X_49,X_50)),inverse(multiply(commutator(X_49,X_50),commutator(X_50,X_49))))) )],[refute_0_825,refute_0_830]) ).
cnf(refute_0_832,plain,
X_10 = multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(multiply(X_47,multiply(X_48,inverse(X_47)))),X_10)),
inference(subst,[],[refute_0_291:[bind(X_8,$fot(multiply(X_47,multiply(X_48,inverse(X_47)))))]]) ).
cnf(refute_0_833,plain,
( X_10 != multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(multiply(X_47,multiply(X_48,inverse(X_47)))),X_10))
| inverse(multiply(X_47,multiply(X_48,inverse(X_47)))) != multiply(inverse(X_48),commutator(X_48,X_47))
| X_10 = multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(X_10,multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(multiply(X_47,multiply(X_48,inverse(X_47)))),X_10))) ),[1,1,0],$fot(multiply(inverse(X_48),commutator(X_48,X_47)))]]) ).
cnf(refute_0_834,plain,
( X_10 != multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(multiply(X_47,multiply(X_48,inverse(X_47)))),X_10))
| X_10 = multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_47,multiply(X_48,inverse(X_47)))),multiply(inverse(X_48),commutator(X_48,X_47))) )],[refute_0_681,refute_0_833]) ).
cnf(refute_0_835,plain,
X_10 = multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)),
inference(resolve,[$cnf( $equal(X_10,multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(inverse(multiply(X_47,multiply(X_48,inverse(X_47)))),X_10))) )],[refute_0_832,refute_0_834]) ).
cnf(refute_0_836,plain,
multiply(X_47,multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))))) = multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10)),
inference(subst,[],[refute_0_709:[bind(Y,$fot(X_48)),bind(X_10,$fot(multiply(commutator(X_48,X_47),X_10))),bind(X_8,$fot(X_47))]]) ).
cnf(refute_0_837,plain,
multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10) = multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_48))),bind(Y,$fot(commutator(X_48,X_47))),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_838,plain,
multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) = multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)))]]) ).
cnf(refute_0_839,plain,
( multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10) != multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))
| multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) != multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))
| multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) = multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)),multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) ),[1,1],$fot(multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10)))]]) ).
cnf(refute_0_840,plain,
( multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10) != multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))
| multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) = multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)),multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) )],[refute_0_838,refute_0_839]) ).
cnf(refute_0_841,plain,
multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) = multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))) )],[refute_0_837,refute_0_840]) ).
cnf(refute_0_842,plain,
multiply(X_48,multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) = multiply(X_48,multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))),
introduced(tautology,[refl,[$fot(multiply(X_48,multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))))]]) ).
cnf(refute_0_843,plain,
( multiply(X_48,multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) != multiply(X_48,multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)))
| multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) != multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10)))
| multiply(X_48,multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) = multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_48,multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))),multiply(X_48,multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)))) ),[1,1],$fot(multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))))]]) ).
cnf(refute_0_844,plain,
( multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) != multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10)))
| multiply(X_48,multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) = multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(X_48,multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))),multiply(X_48,multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)))) )],[refute_0_842,refute_0_843]) ).
cnf(refute_0_845,plain,
multiply(X_48,multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) = multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)),multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10)))) )],[refute_0_841,refute_0_844]) ).
cnf(refute_0_846,plain,
multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) = multiply(X_48,multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))),
inference(subst,[],[associativity:[bind(X,$fot(X_48)),bind(Y,$fot(inverse(X_47))),bind(Z,$fot(multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)))]]) ).
cnf(refute_0_847,plain,
( multiply(X_48,multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) != multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))))
| multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) != multiply(X_48,multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)))
| multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) = multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10)))) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)))),bind(Y0,$fot(multiply(X_48,multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))))),bind(Z0,$fot(multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))))))]]) ).
cnf(refute_0_848,plain,
( multiply(X_48,multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) != multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))))
| multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) = multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)),multiply(X_48,multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)))) )],[refute_0_846,refute_0_847]) ).
cnf(refute_0_849,plain,
multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) = multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10)))),
inference(resolve,[$cnf( $equal(multiply(X_48,multiply(inverse(X_47),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))),multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))))) )],[refute_0_845,refute_0_848]) ).
cnf(refute_0_850,plain,
multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) = multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))),
introduced(tautology,[refl,[$fot(multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))))]]) ).
cnf(refute_0_851,plain,
( multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) != multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)))
| multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) != multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))))
| multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) = multiply(X_47,multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))),multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)))) ),[1,1],$fot(multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10)))))]]) ).
cnf(refute_0_852,plain,
( multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) != multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))))
| multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) = multiply(X_47,multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))))) ),
inference(resolve,[$cnf( $equal(multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))),multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)))) )],[refute_0_850,refute_0_851]) ).
cnf(refute_0_853,plain,
multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) = multiply(X_47,multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)),multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))))) )],[refute_0_849,refute_0_852]) ).
cnf(refute_0_854,plain,
( multiply(X_47,multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))))) != multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10))
| multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) != multiply(X_47,multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10)))))
| multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) = multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))))),bind(Y0,$fot(multiply(X_47,multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))))))),bind(Z0,$fot(multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10))))]]) ).
cnf(refute_0_855,plain,
( multiply(X_47,multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))))) != multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10))
| multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) = multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))),multiply(X_47,multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10)))))) )],[refute_0_853,refute_0_854]) ).
cnf(refute_0_856,plain,
multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) = multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10)),
inference(resolve,[$cnf( $equal(multiply(X_47,multiply(X_48,multiply(inverse(X_47),multiply(inverse(X_48),multiply(commutator(X_48,X_47),X_10))))),multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10))) )],[refute_0_836,refute_0_855]) ).
cnf(refute_0_857,plain,
multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) = multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))),
inference(subst,[],[associativity:[bind(X,$fot(X_47)),bind(Y,$fot(multiply(X_48,inverse(X_47)))),bind(Z,$fot(multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)))]]) ).
cnf(refute_0_858,plain,
( multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) != multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10))
| multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) != multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)))
| multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) = multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)))),bind(Y0,$fot(multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))))),bind(Z0,$fot(multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10))))]]) ).
cnf(refute_0_859,plain,
( multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) != multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10))
| multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) = multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)),multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)))) )],[refute_0_857,refute_0_858]) ).
cnf(refute_0_860,plain,
multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) = multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10)),
inference(resolve,[$cnf( $equal(multiply(X_47,multiply(multiply(X_48,inverse(X_47)),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))),multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10))) )],[refute_0_856,refute_0_859]) ).
cnf(refute_0_861,plain,
( X_10 != multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))
| multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)) != multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10))
| X_10 = multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_10,multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10))) ),[0],$fot(multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)))]]) ).
cnf(refute_0_862,plain,
( X_10 != multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))
| X_10 = multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10)),multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10))) )],[refute_0_860,refute_0_861]) ).
cnf(refute_0_863,plain,
X_10 = multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10)),
inference(resolve,[$cnf( $equal(X_10,multiply(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(multiply(inverse(X_48),commutator(X_48,X_47)),X_10))) )],[refute_0_835,refute_0_862]) ).
cnf(refute_0_864,plain,
( X_10 != multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10))
| multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10)) = X_10 ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(X_10)),bind(Y0,$fot(multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10))))]]) ).
cnf(refute_0_865,plain,
multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10)) = X_10,
inference(resolve,[$cnf( $equal(X_10,multiply(commutator(X_47,X_48),multiply(commutator(X_48,X_47),X_10))) )],[refute_0_863,refute_0_864]) ).
cnf(refute_0_866,plain,
multiply(commutator(X_50,X_49),multiply(commutator(X_49,X_50),commutator(X_50,X_49))) = commutator(X_50,X_49),
inference(subst,[],[refute_0_865:[bind(X_10,$fot(commutator(X_50,X_49))),bind(X_47,$fot(X_50)),bind(X_48,$fot(X_49))]]) ).
cnf(refute_0_867,plain,
( multiply(commutator(X_50,X_49),multiply(commutator(X_49,X_50),commutator(X_50,X_49))) != multiply(inverse(commutator(X_49,X_50)),inverse(identity))
| multiply(commutator(X_50,X_49),multiply(commutator(X_49,X_50),commutator(X_50,X_49))) != commutator(X_50,X_49)
| commutator(X_50,X_49) = multiply(inverse(commutator(X_49,X_50)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_50,X_49),multiply(commutator(X_49,X_50),commutator(X_50,X_49))),multiply(inverse(commutator(X_49,X_50)),inverse(identity))) ),[0],$fot(commutator(X_50,X_49))]]) ).
cnf(refute_0_868,plain,
( multiply(commutator(X_50,X_49),multiply(commutator(X_49,X_50),commutator(X_50,X_49))) != multiply(inverse(commutator(X_49,X_50)),inverse(identity))
| commutator(X_50,X_49) = multiply(inverse(commutator(X_49,X_50)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_50,X_49),multiply(commutator(X_49,X_50),commutator(X_50,X_49))),commutator(X_50,X_49)) )],[refute_0_866,refute_0_867]) ).
cnf(refute_0_869,plain,
multiply(inverse(commutator(X_49,X_50)),identity) = inverse(commutator(X_49,X_50)),
inference(subst,[],[refute_0_49:[bind(X_13,$fot(inverse(commutator(X_49,X_50))))]]) ).
cnf(refute_0_870,plain,
multiply(inverse(commutator(X_49,X_50)),inverse(identity)) = multiply(inverse(commutator(X_49,X_50)),inverse(identity)),
introduced(tautology,[refl,[$fot(multiply(inverse(commutator(X_49,X_50)),inverse(identity)))]]) ).
cnf(refute_0_871,plain,
( multiply(inverse(commutator(X_49,X_50)),inverse(identity)) != multiply(inverse(commutator(X_49,X_50)),inverse(identity))
| inverse(identity) != identity
| multiply(inverse(commutator(X_49,X_50)),inverse(identity)) = multiply(inverse(commutator(X_49,X_50)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(X_49,X_50)),inverse(identity)),multiply(inverse(commutator(X_49,X_50)),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_872,plain,
( inverse(identity) != identity
| multiply(inverse(commutator(X_49,X_50)),inverse(identity)) = multiply(inverse(commutator(X_49,X_50)),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_49,X_50)),inverse(identity)),multiply(inverse(commutator(X_49,X_50)),inverse(identity))) )],[refute_0_870,refute_0_871]) ).
cnf(refute_0_873,plain,
multiply(inverse(commutator(X_49,X_50)),inverse(identity)) = multiply(inverse(commutator(X_49,X_50)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_195,refute_0_872]) ).
cnf(refute_0_874,plain,
( multiply(inverse(commutator(X_49,X_50)),identity) != inverse(commutator(X_49,X_50))
| multiply(inverse(commutator(X_49,X_50)),inverse(identity)) != multiply(inverse(commutator(X_49,X_50)),identity)
| multiply(inverse(commutator(X_49,X_50)),inverse(identity)) = inverse(commutator(X_49,X_50)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(inverse(commutator(X_49,X_50)),inverse(identity)))),bind(Y0,$fot(multiply(inverse(commutator(X_49,X_50)),identity))),bind(Z0,$fot(inverse(commutator(X_49,X_50))))]]) ).
cnf(refute_0_875,plain,
( multiply(inverse(commutator(X_49,X_50)),identity) != inverse(commutator(X_49,X_50))
| multiply(inverse(commutator(X_49,X_50)),inverse(identity)) = inverse(commutator(X_49,X_50)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_49,X_50)),inverse(identity)),multiply(inverse(commutator(X_49,X_50)),identity)) )],[refute_0_873,refute_0_874]) ).
cnf(refute_0_876,plain,
multiply(inverse(commutator(X_49,X_50)),inverse(identity)) = inverse(commutator(X_49,X_50)),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_49,X_50)),identity),inverse(commutator(X_49,X_50))) )],[refute_0_869,refute_0_875]) ).
cnf(refute_0_877,plain,
( multiply(inverse(commutator(X_49,X_50)),inverse(identity)) != inverse(commutator(X_49,X_50))
| commutator(X_50,X_49) != multiply(inverse(commutator(X_49,X_50)),inverse(identity))
| commutator(X_50,X_49) = inverse(commutator(X_49,X_50)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_50,X_49),multiply(inverse(commutator(X_49,X_50)),inverse(identity))) ),[1],$fot(inverse(commutator(X_49,X_50)))]]) ).
cnf(refute_0_878,plain,
( commutator(X_50,X_49) != multiply(inverse(commutator(X_49,X_50)),inverse(identity))
| commutator(X_50,X_49) = inverse(commutator(X_49,X_50)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_49,X_50)),inverse(identity)),inverse(commutator(X_49,X_50))) )],[refute_0_876,refute_0_877]) ).
cnf(refute_0_879,plain,
( multiply(commutator(X_50,X_49),multiply(commutator(X_49,X_50),commutator(X_50,X_49))) != multiply(inverse(commutator(X_49,X_50)),inverse(identity))
| commutator(X_50,X_49) = inverse(commutator(X_49,X_50)) ),
inference(resolve,[$cnf( $equal(commutator(X_50,X_49),multiply(inverse(commutator(X_49,X_50)),inverse(identity))) )],[refute_0_868,refute_0_878]) ).
cnf(refute_0_880,plain,
commutator(X_50,X_49) = inverse(commutator(X_49,X_50)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_50,X_49),multiply(commutator(X_49,X_50),commutator(X_50,X_49))),multiply(inverse(commutator(X_49,X_50)),inverse(identity))) )],[refute_0_831,refute_0_879]) ).
cnf(refute_0_881,plain,
( commutator(X_50,X_49) != inverse(commutator(X_49,X_50))
| inverse(commutator(X_49,X_50)) = commutator(X_50,X_49) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(commutator(X_50,X_49))),bind(Y0,$fot(inverse(commutator(X_49,X_50))))]]) ).
cnf(refute_0_882,plain,
inverse(commutator(X_49,X_50)) = commutator(X_50,X_49),
inference(resolve,[$cnf( $equal(commutator(X_50,X_49),inverse(commutator(X_49,X_50))) )],[refute_0_880,refute_0_881]) ).
cnf(refute_0_883,plain,
inverse(commutator(X_79,X_78)) = commutator(X_78,X_79),
inference(subst,[],[refute_0_882:[bind(X_49,$fot(X_79)),bind(X_50,$fot(X_78))]]) ).
cnf(refute_0_884,plain,
multiply(inverse(commutator(X_79,X_78)),inverse(identity)) = multiply(inverse(commutator(X_79,X_78)),inverse(identity)),
introduced(tautology,[refl,[$fot(multiply(inverse(commutator(X_79,X_78)),inverse(identity)))]]) ).
cnf(refute_0_885,plain,
( multiply(inverse(commutator(X_79,X_78)),inverse(identity)) != multiply(inverse(commutator(X_79,X_78)),inverse(identity))
| inverse(commutator(X_79,X_78)) != commutator(X_78,X_79)
| multiply(inverse(commutator(X_79,X_78)),inverse(identity)) = multiply(commutator(X_78,X_79),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(X_79,X_78)),inverse(identity)),multiply(inverse(commutator(X_79,X_78)),inverse(identity))) ),[1,0],$fot(commutator(X_78,X_79))]]) ).
cnf(refute_0_886,plain,
( inverse(commutator(X_79,X_78)) != commutator(X_78,X_79)
| multiply(inverse(commutator(X_79,X_78)),inverse(identity)) = multiply(commutator(X_78,X_79),inverse(identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_79,X_78)),inverse(identity)),multiply(inverse(commutator(X_79,X_78)),inverse(identity))) )],[refute_0_884,refute_0_885]) ).
cnf(refute_0_887,plain,
multiply(inverse(commutator(X_79,X_78)),inverse(identity)) = multiply(commutator(X_78,X_79),inverse(identity)),
inference(resolve,[$cnf( $equal(inverse(commutator(X_79,X_78)),commutator(X_78,X_79)) )],[refute_0_883,refute_0_886]) ).
cnf(refute_0_888,plain,
( multiply(commutator(X_78,X_79),inverse(identity)) != multiply(commutator(X_78,X_79),identity)
| multiply(inverse(commutator(X_79,X_78)),inverse(identity)) != multiply(commutator(X_78,X_79),inverse(identity))
| multiply(inverse(commutator(X_79,X_78)),inverse(identity)) = multiply(commutator(X_78,X_79),identity) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(inverse(commutator(X_79,X_78)),inverse(identity)))),bind(Y0,$fot(multiply(commutator(X_78,X_79),inverse(identity)))),bind(Z0,$fot(multiply(commutator(X_78,X_79),identity)))]]) ).
cnf(refute_0_889,plain,
( multiply(commutator(X_78,X_79),inverse(identity)) != multiply(commutator(X_78,X_79),identity)
| multiply(inverse(commutator(X_79,X_78)),inverse(identity)) = multiply(commutator(X_78,X_79),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_79,X_78)),inverse(identity)),multiply(commutator(X_78,X_79),inverse(identity))) )],[refute_0_887,refute_0_888]) ).
cnf(refute_0_890,plain,
multiply(inverse(commutator(X_79,X_78)),inverse(identity)) = multiply(commutator(X_78,X_79),identity),
inference(resolve,[$cnf( $equal(multiply(commutator(X_78,X_79),inverse(identity)),multiply(commutator(X_78,X_79),identity)) )],[refute_0_824,refute_0_889]) ).
cnf(refute_0_891,plain,
( multiply(commutator(X_78,X_79),identity) != commutator(X_78,X_79)
| multiply(inverse(commutator(X_79,X_78)),inverse(identity)) != multiply(commutator(X_78,X_79),identity)
| multiply(inverse(commutator(X_79,X_78)),inverse(identity)) = commutator(X_78,X_79) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(inverse(commutator(X_79,X_78)),inverse(identity)))),bind(Y0,$fot(multiply(commutator(X_78,X_79),identity))),bind(Z0,$fot(commutator(X_78,X_79)))]]) ).
cnf(refute_0_892,plain,
( multiply(commutator(X_78,X_79),identity) != commutator(X_78,X_79)
| multiply(inverse(commutator(X_79,X_78)),inverse(identity)) = commutator(X_78,X_79) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_79,X_78)),inverse(identity)),multiply(commutator(X_78,X_79),identity)) )],[refute_0_890,refute_0_891]) ).
cnf(refute_0_893,plain,
multiply(inverse(commutator(X_79,X_78)),inverse(identity)) = commutator(X_78,X_79),
inference(resolve,[$cnf( $equal(multiply(commutator(X_78,X_79),identity),commutator(X_78,X_79)) )],[refute_0_820,refute_0_892]) ).
cnf(refute_0_894,plain,
( multiply(inverse(commutator(X_79,X_78)),inverse(identity)) != commutator(X_78,X_79)
| commutator(inverse(X_79),X_78) != multiply(inverse(commutator(X_79,X_78)),inverse(identity))
| commutator(inverse(X_79),X_78) = commutator(X_78,X_79) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_79),X_78),multiply(inverse(commutator(X_79,X_78)),inverse(identity))) ),[1],$fot(commutator(X_78,X_79))]]) ).
cnf(refute_0_895,plain,
( commutator(inverse(X_79),X_78) != multiply(inverse(commutator(X_79,X_78)),inverse(identity))
| commutator(inverse(X_79),X_78) = commutator(X_78,X_79) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_79,X_78)),inverse(identity)),commutator(X_78,X_79)) )],[refute_0_893,refute_0_894]) ).
cnf(refute_0_896,plain,
( multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))) != multiply(inverse(commutator(X_79,X_78)),inverse(identity))
| commutator(inverse(X_79),X_78) = commutator(X_78,X_79) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_79),X_78),multiply(inverse(commutator(X_79,X_78)),inverse(identity))) )],[refute_0_819,refute_0_895]) ).
cnf(refute_0_897,plain,
commutator(inverse(X_79),X_78) = commutator(X_78,X_79),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_79),X_78),multiply(commutator(X_79,X_78),commutator(inverse(X_79),X_78))),multiply(inverse(commutator(X_79,X_78)),inverse(identity))) )],[refute_0_809,refute_0_896]) ).
cnf(refute_0_898,plain,
commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))) = commutator(multiply(Y,multiply(X_38,inverse(Y))),X_38),
inference(subst,[],[refute_0_897:[bind(X_78,$fot(multiply(Y,multiply(X_38,inverse(Y))))),bind(X_79,$fot(X_38))]]) ).
cnf(refute_0_899,plain,
( commutator(multiply(Y,multiply(X_38,inverse(Y))),X_38) != commutator(X_38,commutator(X_38,Y))
| commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))) != commutator(multiply(Y,multiply(X_38,inverse(Y))),X_38)
| commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))) = commutator(X_38,commutator(X_38,Y)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))))),bind(Y0,$fot(commutator(multiply(Y,multiply(X_38,inverse(Y))),X_38))),bind(Z0,$fot(commutator(X_38,commutator(X_38,Y))))]]) ).
cnf(refute_0_900,plain,
( commutator(multiply(Y,multiply(X_38,inverse(Y))),X_38) != commutator(X_38,commutator(X_38,Y))
| commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))) = commutator(X_38,commutator(X_38,Y)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))),commutator(multiply(Y,multiply(X_38,inverse(Y))),X_38)) )],[refute_0_898,refute_0_899]) ).
cnf(refute_0_901,plain,
commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))) = commutator(X_38,commutator(X_38,Y)),
inference(resolve,[$cnf( $equal(commutator(multiply(Y,multiply(X_38,inverse(Y))),X_38),commutator(X_38,commutator(X_38,Y))) )],[refute_0_678,refute_0_900]) ).
cnf(refute_0_902,plain,
( commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))) != commutator(X_38,commutator(X_38,Y))
| commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))) != commutator(commutator(inverse(X_38),Y),X_38)
| commutator(X_38,commutator(X_38,Y)) = commutator(commutator(inverse(X_38),Y),X_38) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))),commutator(commutator(inverse(X_38),Y),X_38)) ),[0],$fot(commutator(X_38,commutator(X_38,Y)))]]) ).
cnf(refute_0_903,plain,
( commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))) != commutator(commutator(inverse(X_38),Y),X_38)
| commutator(X_38,commutator(X_38,Y)) = commutator(commutator(inverse(X_38),Y),X_38) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))),commutator(X_38,commutator(X_38,Y))) )],[refute_0_901,refute_0_902]) ).
cnf(refute_0_904,plain,
commutator(inverse(X_38),Y) = commutator(Y,X_38),
inference(subst,[],[refute_0_897:[bind(X_78,$fot(Y)),bind(X_79,$fot(X_38))]]) ).
cnf(refute_0_905,plain,
commutator(commutator(inverse(X_38),Y),X_38) = commutator(commutator(inverse(X_38),Y),X_38),
introduced(tautology,[refl,[$fot(commutator(commutator(inverse(X_38),Y),X_38))]]) ).
cnf(refute_0_906,plain,
( commutator(commutator(inverse(X_38),Y),X_38) != commutator(commutator(inverse(X_38),Y),X_38)
| commutator(inverse(X_38),Y) != commutator(Y,X_38)
| commutator(commutator(inverse(X_38),Y),X_38) = commutator(commutator(Y,X_38),X_38) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(inverse(X_38),Y),X_38),commutator(commutator(inverse(X_38),Y),X_38)) ),[1,0],$fot(commutator(Y,X_38))]]) ).
cnf(refute_0_907,plain,
( commutator(inverse(X_38),Y) != commutator(Y,X_38)
| commutator(commutator(inverse(X_38),Y),X_38) = commutator(commutator(Y,X_38),X_38) ),
inference(resolve,[$cnf( $equal(commutator(commutator(inverse(X_38),Y),X_38),commutator(commutator(inverse(X_38),Y),X_38)) )],[refute_0_905,refute_0_906]) ).
cnf(refute_0_908,plain,
commutator(commutator(inverse(X_38),Y),X_38) = commutator(commutator(Y,X_38),X_38),
inference(resolve,[$cnf( $equal(commutator(inverse(X_38),Y),commutator(Y,X_38)) )],[refute_0_904,refute_0_907]) ).
cnf(refute_0_909,plain,
( commutator(X_38,commutator(X_38,Y)) != commutator(commutator(inverse(X_38),Y),X_38)
| commutator(commutator(inverse(X_38),Y),X_38) != commutator(commutator(Y,X_38),X_38)
| commutator(X_38,commutator(X_38,Y)) = commutator(commutator(Y,X_38),X_38) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_38,commutator(X_38,Y)),commutator(commutator(Y,X_38),X_38)) ),[0],$fot(commutator(commutator(inverse(X_38),Y),X_38))]]) ).
cnf(refute_0_910,plain,
( commutator(X_38,commutator(X_38,Y)) != commutator(commutator(inverse(X_38),Y),X_38)
| commutator(X_38,commutator(X_38,Y)) = commutator(commutator(Y,X_38),X_38) ),
inference(resolve,[$cnf( $equal(commutator(commutator(inverse(X_38),Y),X_38),commutator(commutator(Y,X_38),X_38)) )],[refute_0_908,refute_0_909]) ).
cnf(refute_0_911,plain,
( commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))) != commutator(commutator(inverse(X_38),Y),X_38)
| commutator(X_38,commutator(X_38,Y)) = commutator(commutator(Y,X_38),X_38) ),
inference(resolve,[$cnf( $equal(commutator(X_38,commutator(X_38,Y)),commutator(commutator(inverse(X_38),Y),X_38)) )],[refute_0_903,refute_0_910]) ).
cnf(refute_0_912,plain,
commutator(X_38,commutator(X_38,Y)) = commutator(commutator(Y,X_38),X_38),
inference(resolve,[$cnf( $equal(commutator(inverse(X_38),multiply(Y,multiply(X_38,inverse(Y)))),commutator(commutator(inverse(X_38),Y),X_38)) )],[refute_0_472,refute_0_911]) ).
cnf(refute_0_913,plain,
( commutator(X_38,commutator(X_38,Y)) != commutator(commutator(Y,X_38),X_38)
| commutator(commutator(Y,X_38),X_38) = commutator(X_38,commutator(X_38,Y)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(commutator(X_38,commutator(X_38,Y)))),bind(Y0,$fot(commutator(commutator(Y,X_38),X_38)))]]) ).
cnf(refute_0_914,plain,
commutator(commutator(Y,X_38),X_38) = commutator(X_38,commutator(X_38,Y)),
inference(resolve,[$cnf( $equal(commutator(X_38,commutator(X_38,Y)),commutator(commutator(Y,X_38),X_38)) )],[refute_0_912,refute_0_913]) ).
cnf(refute_0_915,plain,
commutator(commutator(a,b),b) = commutator(b,commutator(b,a)),
inference(subst,[],[refute_0_914:[bind(Y,$fot(a)),bind(X_38,$fot(b))]]) ).
cnf(refute_0_916,plain,
( commutator(b,commutator(b,a)) != identity
| commutator(commutator(a,b),b) != commutator(b,commutator(b,a))
| commutator(commutator(a,b),b) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(a,b),b),commutator(b,commutator(b,a))) ),[1],$fot(identity)]]) ).
cnf(refute_0_917,plain,
( commutator(b,commutator(b,a)) != identity
| commutator(commutator(a,b),b) = identity ),
inference(resolve,[$cnf( $equal(commutator(commutator(a,b),b),commutator(b,commutator(b,a))) )],[refute_0_915,refute_0_916]) ).
cnf(refute_0_918,plain,
commutator(b,commutator(b,a)) != identity,
inference(resolve,[$cnf( $equal(commutator(commutator(a,b),b),identity) )],[refute_0_917,prove_commutator]) ).
cnf(refute_0_919,plain,
inverse(multiply(X_47,multiply(X_95,inverse(X_47)))) = multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47)),
inference(subst,[],[refute_0_444:[bind(X_9,$fot(multiply(X_95,inverse(X_47))))]]) ).
cnf(refute_0_920,plain,
inverse(multiply(inverse(X_48),commutator(X_48,X_47))) = multiply(inverse(X_48),multiply(commutator(X_48,X_47),multiply(inverse(X_48),commutator(X_48,X_47)))),
inference(subst,[],[refute_0_365:[bind(X,$fot(inverse(X_48))),bind(Y,$fot(commutator(X_48,X_47)))]]) ).
cnf(refute_0_921,plain,
( inverse(multiply(X_47,multiply(X_48,inverse(X_47)))) != multiply(inverse(X_48),commutator(X_48,X_47))
| multiply(inverse(X_48),commutator(X_48,X_47)) = inverse(multiply(X_47,multiply(X_48,inverse(X_47)))) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))),bind(Y0,$fot(multiply(inverse(X_48),commutator(X_48,X_47))))]]) ).
cnf(refute_0_922,plain,
multiply(inverse(X_48),commutator(X_48,X_47)) = inverse(multiply(X_47,multiply(X_48,inverse(X_47)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_47,multiply(X_48,inverse(X_47)))),multiply(inverse(X_48),commutator(X_48,X_47))) )],[refute_0_681,refute_0_921]) ).
cnf(refute_0_923,plain,
( multiply(inverse(X_48),commutator(X_48,X_47)) != inverse(multiply(X_47,multiply(X_48,inverse(X_47))))
| inverse(multiply(inverse(X_48),commutator(X_48,X_47))) != multiply(inverse(X_48),multiply(commutator(X_48,X_47),multiply(inverse(X_48),commutator(X_48,X_47))))
| inverse(multiply(inverse(X_48),commutator(X_48,X_47))) = multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_48),commutator(X_48,X_47))),multiply(inverse(X_48),multiply(commutator(X_48,X_47),multiply(inverse(X_48),commutator(X_48,X_47))))) ),[1,1,1],$fot(inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))]]) ).
cnf(refute_0_924,plain,
( inverse(multiply(inverse(X_48),commutator(X_48,X_47))) != multiply(inverse(X_48),multiply(commutator(X_48,X_47),multiply(inverse(X_48),commutator(X_48,X_47))))
| inverse(multiply(inverse(X_48),commutator(X_48,X_47))) = multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_48),commutator(X_48,X_47)),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))) )],[refute_0_922,refute_0_923]) ).
cnf(refute_0_925,plain,
inverse(multiply(inverse(X_48),commutator(X_48,X_47))) = multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_48),commutator(X_48,X_47))),multiply(inverse(X_48),multiply(commutator(X_48,X_47),multiply(inverse(X_48),commutator(X_48,X_47))))) )],[refute_0_920,refute_0_924]) ).
cnf(refute_0_926,plain,
inverse(inverse(X_48)) = X_48,
inference(subst,[],[refute_0_63:[bind(X_10,$fot(X_48))]]) ).
cnf(refute_0_927,plain,
multiply(inverse(inverse(X_48)),commutator(inverse(X_48),X_47)) = multiply(inverse(inverse(X_48)),commutator(inverse(X_48),X_47)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_48)),commutator(inverse(X_48),X_47)))]]) ).
cnf(refute_0_928,plain,
( multiply(inverse(inverse(X_48)),commutator(inverse(X_48),X_47)) != multiply(inverse(inverse(X_48)),commutator(inverse(X_48),X_47))
| inverse(inverse(X_48)) != X_48
| multiply(inverse(inverse(X_48)),commutator(inverse(X_48),X_47)) = multiply(X_48,commutator(inverse(X_48),X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_48)),commutator(inverse(X_48),X_47)),multiply(inverse(inverse(X_48)),commutator(inverse(X_48),X_47))) ),[1,0],$fot(X_48)]]) ).
cnf(refute_0_929,plain,
( inverse(inverse(X_48)) != X_48
| multiply(inverse(inverse(X_48)),commutator(inverse(X_48),X_47)) = multiply(X_48,commutator(inverse(X_48),X_47)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_48)),commutator(inverse(X_48),X_47)),multiply(inverse(inverse(X_48)),commutator(inverse(X_48),X_47))) )],[refute_0_927,refute_0_928]) ).
cnf(refute_0_930,plain,
multiply(inverse(inverse(X_48)),commutator(inverse(X_48),X_47)) = multiply(X_48,commutator(inverse(X_48),X_47)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_48)),X_48) )],[refute_0_926,refute_0_929]) ).
cnf(refute_0_931,plain,
multiply(inverse(X_48),multiply(inverse(X_48),commutator(inverse(X_48),X_47))) = multiply(inverse(inverse(X_48)),commutator(inverse(X_48),X_47)),
inference(subst,[],[refute_0_377:[bind(Y,$fot(inverse(X_48))),bind(Z,$fot(commutator(inverse(X_48),X_47)))]]) ).
cnf(refute_0_932,plain,
( multiply(inverse(X_48),multiply(inverse(X_48),commutator(inverse(X_48),X_47))) != multiply(inverse(inverse(X_48)),commutator(inverse(X_48),X_47))
| multiply(inverse(inverse(X_48)),commutator(inverse(X_48),X_47)) != multiply(X_48,commutator(inverse(X_48),X_47))
| multiply(inverse(X_48),multiply(inverse(X_48),commutator(inverse(X_48),X_47))) = multiply(X_48,commutator(inverse(X_48),X_47)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(inverse(X_48),multiply(inverse(X_48),commutator(inverse(X_48),X_47))))),bind(Y0,$fot(multiply(inverse(inverse(X_48)),commutator(inverse(X_48),X_47)))),bind(Z0,$fot(multiply(X_48,commutator(inverse(X_48),X_47))))]]) ).
cnf(refute_0_933,plain,
( multiply(inverse(inverse(X_48)),commutator(inverse(X_48),X_47)) != multiply(X_48,commutator(inverse(X_48),X_47))
| multiply(inverse(X_48),multiply(inverse(X_48),commutator(inverse(X_48),X_47))) = multiply(X_48,commutator(inverse(X_48),X_47)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_48),multiply(inverse(X_48),commutator(inverse(X_48),X_47))),multiply(inverse(inverse(X_48)),commutator(inverse(X_48),X_47))) )],[refute_0_931,refute_0_932]) ).
cnf(refute_0_934,plain,
multiply(inverse(X_48),multiply(inverse(X_48),commutator(inverse(X_48),X_47))) = multiply(X_48,commutator(inverse(X_48),X_47)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_48)),commutator(inverse(X_48),X_47)),multiply(X_48,commutator(inverse(X_48),X_47))) )],[refute_0_930,refute_0_933]) ).
cnf(refute_0_935,plain,
multiply(commutator(X_48,X_47),multiply(inverse(X_48),commutator(X_48,X_47))) = multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47)))),
inference(subst,[],[refute_0_597:[bind(X_28,$fot(commutator(X_48,X_47))),bind(X_9,$fot(inverse(X_48)))]]) ).
cnf(refute_0_936,plain,
( multiply(commutator(X_48,X_47),multiply(inverse(X_48),commutator(X_48,X_47))) != multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47))))
| multiply(inverse(X_48),commutator(X_48,X_47)) != inverse(multiply(X_47,multiply(X_48,inverse(X_47))))
| multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))) = multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_48,X_47),multiply(inverse(X_48),commutator(X_48,X_47))),multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47))))) ),[0,1],$fot(inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))]]) ).
cnf(refute_0_937,plain,
( multiply(commutator(X_48,X_47),multiply(inverse(X_48),commutator(X_48,X_47))) != multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47))))
| multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))) = multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_48),commutator(X_48,X_47)),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))) )],[refute_0_922,refute_0_936]) ).
cnf(refute_0_938,plain,
multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))) = multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_48,X_47),multiply(inverse(X_48),commutator(X_48,X_47))),multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47))))) )],[refute_0_935,refute_0_937]) ).
cnf(refute_0_939,plain,
multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47)))) = multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47)))),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47)))))]]) ).
cnf(refute_0_940,plain,
( multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47)))) != multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47))))
| inverse(inverse(X_48)) != X_48
| multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47)))) = multiply(X_48,inverse(multiply(inverse(X_48),commutator(X_48,X_47)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47)))),multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47))))) ),[1,0],$fot(X_48)]]) ).
cnf(refute_0_941,plain,
( inverse(inverse(X_48)) != X_48
| multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47)))) = multiply(X_48,inverse(multiply(inverse(X_48),commutator(X_48,X_47)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47)))),multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47))))) )],[refute_0_939,refute_0_940]) ).
cnf(refute_0_942,plain,
multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47)))) = multiply(X_48,inverse(multiply(inverse(X_48),commutator(X_48,X_47)))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_48)),X_48) )],[refute_0_926,refute_0_941]) ).
cnf(refute_0_943,plain,
( multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))) != multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47))))
| multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47)))) != multiply(X_48,inverse(multiply(inverse(X_48),commutator(X_48,X_47))))
| multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))) = multiply(X_48,inverse(multiply(inverse(X_48),commutator(X_48,X_47)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))),multiply(X_48,inverse(multiply(inverse(X_48),commutator(X_48,X_47))))) ),[0],$fot(multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47)))))]]) ).
cnf(refute_0_944,plain,
( multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))) != multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47))))
| multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))) = multiply(X_48,inverse(multiply(inverse(X_48),commutator(X_48,X_47)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47)))),multiply(X_48,inverse(multiply(inverse(X_48),commutator(X_48,X_47))))) )],[refute_0_942,refute_0_943]) ).
cnf(refute_0_945,plain,
multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))) = multiply(X_48,inverse(multiply(inverse(X_48),commutator(X_48,X_47)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))),multiply(inverse(inverse(X_48)),inverse(multiply(inverse(X_48),commutator(X_48,X_47))))) )],[refute_0_938,refute_0_944]) ).
cnf(refute_0_946,plain,
multiply(commutator(X_58,Y),multiply(inverse(X_58),commutator(X_58,Y))) = multiply(X_58,inverse(multiply(inverse(X_58),commutator(X_58,Y)))),
inference(subst,[],[refute_0_540:[bind(X_28,$fot(commutator(X_58,Y))),bind(X_8,$fot(X_58))]]) ).
cnf(refute_0_947,plain,
inverse(multiply(Y,multiply(X_58,inverse(Y)))) = multiply(inverse(X_58),commutator(X_58,Y)),
inference(subst,[],[refute_0_410:[bind(X_14,$fot(X_58))]]) ).
cnf(refute_0_948,plain,
( inverse(multiply(Y,multiply(X_58,inverse(Y)))) != multiply(inverse(X_58),commutator(X_58,Y))
| multiply(inverse(X_58),commutator(X_58,Y)) = inverse(multiply(Y,multiply(X_58,inverse(Y)))) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(inverse(multiply(Y,multiply(X_58,inverse(Y)))))),bind(Y0,$fot(multiply(inverse(X_58),commutator(X_58,Y))))]]) ).
cnf(refute_0_949,plain,
multiply(inverse(X_58),commutator(X_58,Y)) = inverse(multiply(Y,multiply(X_58,inverse(Y)))),
inference(resolve,[$cnf( $equal(inverse(multiply(Y,multiply(X_58,inverse(Y)))),multiply(inverse(X_58),commutator(X_58,Y))) )],[refute_0_947,refute_0_948]) ).
cnf(refute_0_950,plain,
( multiply(commutator(X_58,Y),multiply(inverse(X_58),commutator(X_58,Y))) != multiply(X_58,inverse(multiply(inverse(X_58),commutator(X_58,Y))))
| multiply(inverse(X_58),commutator(X_58,Y)) != inverse(multiply(Y,multiply(X_58,inverse(Y))))
| multiply(commutator(X_58,Y),multiply(inverse(X_58),commutator(X_58,Y))) = multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_58,Y),multiply(inverse(X_58),commutator(X_58,Y))),multiply(X_58,inverse(multiply(inverse(X_58),commutator(X_58,Y))))) ),[1,1,0],$fot(inverse(multiply(Y,multiply(X_58,inverse(Y)))))]]) ).
cnf(refute_0_951,plain,
( multiply(commutator(X_58,Y),multiply(inverse(X_58),commutator(X_58,Y))) != multiply(X_58,inverse(multiply(inverse(X_58),commutator(X_58,Y))))
| multiply(commutator(X_58,Y),multiply(inverse(X_58),commutator(X_58,Y))) = multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),commutator(X_58,Y)),inverse(multiply(Y,multiply(X_58,inverse(Y))))) )],[refute_0_949,refute_0_950]) ).
cnf(refute_0_952,plain,
multiply(commutator(X_58,Y),multiply(inverse(X_58),commutator(X_58,Y))) = multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_58,Y),multiply(inverse(X_58),commutator(X_58,Y))),multiply(X_58,inverse(multiply(inverse(X_58),commutator(X_58,Y))))) )],[refute_0_946,refute_0_951]) ).
cnf(refute_0_953,plain,
( multiply(commutator(X_58,Y),multiply(inverse(X_58),commutator(X_58,Y))) != multiply(X_58,inverse(multiply(inverse(X_58),commutator(X_58,Y))))
| multiply(commutator(X_58,Y),multiply(inverse(X_58),commutator(X_58,Y))) != multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))))
| multiply(X_58,inverse(multiply(inverse(X_58),commutator(X_58,Y)))) = multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_58,Y),multiply(inverse(X_58),commutator(X_58,Y))),multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))))) ),[0],$fot(multiply(X_58,inverse(multiply(inverse(X_58),commutator(X_58,Y)))))]]) ).
cnf(refute_0_954,plain,
( multiply(commutator(X_58,Y),multiply(inverse(X_58),commutator(X_58,Y))) != multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))))
| multiply(X_58,inverse(multiply(inverse(X_58),commutator(X_58,Y)))) = multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_58,Y),multiply(inverse(X_58),commutator(X_58,Y))),multiply(X_58,inverse(multiply(inverse(X_58),commutator(X_58,Y))))) )],[refute_0_946,refute_0_953]) ).
cnf(refute_0_955,plain,
multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) = multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)))),
inference(subst,[],[refute_0_540:[bind(X_28,$fot(commutator(inverse(inverse(X_58)),Y))),bind(X_8,$fot(X_58))]]) ).
cnf(refute_0_956,plain,
multiply(Y,multiply(inverse(X_58),inverse(Y))) = multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)),
inference(subst,[],[refute_0_310:[bind(X_24,$fot(inverse(X_58)))]]) ).
cnf(refute_0_957,plain,
( multiply(Y,multiply(inverse(X_58),inverse(Y))) != multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))
| multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)) = multiply(Y,multiply(inverse(X_58),inverse(Y))) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(Y,multiply(inverse(X_58),inverse(Y))))),bind(Y0,$fot(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))))]]) ).
cnf(refute_0_958,plain,
multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)) = multiply(Y,multiply(inverse(X_58),inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(inverse(X_58),inverse(Y))),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) )],[refute_0_956,refute_0_957]) ).
cnf(refute_0_959,plain,
( multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) != multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))))
| multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)) != multiply(Y,multiply(inverse(X_58),inverse(Y)))
| multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) = multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))),multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))))) ),[1,1,0],$fot(multiply(Y,multiply(inverse(X_58),inverse(Y))))]]) ).
cnf(refute_0_960,plain,
( multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) != multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))))
| multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) = multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)),multiply(Y,multiply(inverse(X_58),inverse(Y)))) )],[refute_0_958,refute_0_959]) ).
cnf(refute_0_961,plain,
multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) = multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y))))),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))),multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))))) )],[refute_0_955,refute_0_960]) ).
cnf(refute_0_962,plain,
multiply(X_58,multiply(X_58,commutator(inverse(X_58),Y))) = multiply(inverse(X_58),commutator(inverse(X_58),Y)),
inference(subst,[],[refute_0_377:[bind(Y,$fot(X_58)),bind(Z,$fot(commutator(inverse(X_58),Y)))]]) ).
cnf(refute_0_963,plain,
inverse(inverse(X_58)) = X_58,
inference(subst,[],[refute_0_63:[bind(X_10,$fot(X_58))]]) ).
cnf(refute_0_964,plain,
multiply(inverse(inverse(X_58)),commutator(inverse(X_58),Y)) = multiply(inverse(inverse(X_58)),commutator(inverse(X_58),Y)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_58)),commutator(inverse(X_58),Y)))]]) ).
cnf(refute_0_965,plain,
( multiply(inverse(inverse(X_58)),commutator(inverse(X_58),Y)) != multiply(inverse(inverse(X_58)),commutator(inverse(X_58),Y))
| inverse(inverse(X_58)) != X_58
| multiply(inverse(inverse(X_58)),commutator(inverse(X_58),Y)) = multiply(X_58,commutator(inverse(X_58),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_58)),commutator(inverse(X_58),Y)),multiply(inverse(inverse(X_58)),commutator(inverse(X_58),Y))) ),[1,0],$fot(X_58)]]) ).
cnf(refute_0_966,plain,
( inverse(inverse(X_58)) != X_58
| multiply(inverse(inverse(X_58)),commutator(inverse(X_58),Y)) = multiply(X_58,commutator(inverse(X_58),Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_58)),commutator(inverse(X_58),Y)),multiply(inverse(inverse(X_58)),commutator(inverse(X_58),Y))) )],[refute_0_964,refute_0_965]) ).
cnf(refute_0_967,plain,
multiply(inverse(inverse(X_58)),commutator(inverse(X_58),Y)) = multiply(X_58,commutator(inverse(X_58),Y)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_58)),X_58) )],[refute_0_963,refute_0_966]) ).
cnf(refute_0_968,plain,
multiply(X_47,multiply(X_48,inverse(X_47))) = multiply(X_48,commutator(inverse(X_48),X_47)),
inference(subst,[],[refute_0_310:[bind(Y,$fot(X_47)),bind(X_24,$fot(X_48))]]) ).
cnf(refute_0_969,plain,
( multiply(X_47,multiply(X_48,inverse(X_47))) != multiply(X_48,commutator(inverse(X_48),X_47))
| inverse(multiply(X_47,multiply(X_48,inverse(X_47)))) != multiply(inverse(X_48),commutator(X_48,X_47))
| inverse(multiply(X_48,commutator(inverse(X_48),X_47))) = multiply(inverse(X_48),commutator(X_48,X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_47,multiply(X_48,inverse(X_47)))),multiply(inverse(X_48),commutator(X_48,X_47))) ),[0,0],$fot(multiply(X_48,commutator(inverse(X_48),X_47)))]]) ).
cnf(refute_0_970,plain,
( inverse(multiply(X_47,multiply(X_48,inverse(X_47)))) != multiply(inverse(X_48),commutator(X_48,X_47))
| inverse(multiply(X_48,commutator(inverse(X_48),X_47))) = multiply(inverse(X_48),commutator(X_48,X_47)) ),
inference(resolve,[$cnf( $equal(multiply(X_47,multiply(X_48,inverse(X_47))),multiply(X_48,commutator(inverse(X_48),X_47))) )],[refute_0_968,refute_0_969]) ).
cnf(refute_0_971,plain,
inverse(multiply(X_48,commutator(inverse(X_48),X_47))) = multiply(inverse(X_48),commutator(X_48,X_47)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_47,multiply(X_48,inverse(X_47)))),multiply(inverse(X_48),commutator(X_48,X_47))) )],[refute_0_681,refute_0_970]) ).
cnf(refute_0_972,plain,
inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) = multiply(inverse(inverse(X_58)),commutator(inverse(X_58),Y)),
inference(subst,[],[refute_0_971:[bind(X_47,$fot(Y)),bind(X_48,$fot(inverse(X_58)))]]) ).
cnf(refute_0_973,plain,
( multiply(inverse(inverse(X_58)),commutator(inverse(X_58),Y)) != multiply(X_58,commutator(inverse(X_58),Y))
| inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) != multiply(inverse(inverse(X_58)),commutator(inverse(X_58),Y))
| inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) = multiply(X_58,commutator(inverse(X_58),Y)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))))),bind(Y0,$fot(multiply(inverse(inverse(X_58)),commutator(inverse(X_58),Y)))),bind(Z0,$fot(multiply(X_58,commutator(inverse(X_58),Y))))]]) ).
cnf(refute_0_974,plain,
( multiply(inverse(inverse(X_58)),commutator(inverse(X_58),Y)) != multiply(X_58,commutator(inverse(X_58),Y))
| inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) = multiply(X_58,commutator(inverse(X_58),Y)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))),multiply(inverse(inverse(X_58)),commutator(inverse(X_58),Y))) )],[refute_0_972,refute_0_973]) ).
cnf(refute_0_975,plain,
inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) = multiply(X_58,commutator(inverse(X_58),Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_58)),commutator(inverse(X_58),Y)),multiply(X_58,commutator(inverse(X_58),Y))) )],[refute_0_967,refute_0_974]) ).
cnf(refute_0_976,plain,
multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)))) = multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)))),
introduced(tautology,[refl,[$fot(multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)))))]]) ).
cnf(refute_0_977,plain,
( multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)))) != multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))))
| inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) != multiply(X_58,commutator(inverse(X_58),Y))
| multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)))) = multiply(X_58,multiply(X_58,commutator(inverse(X_58),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)))),multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))))) ),[1,1],$fot(multiply(X_58,commutator(inverse(X_58),Y)))]]) ).
cnf(refute_0_978,plain,
( inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) != multiply(X_58,commutator(inverse(X_58),Y))
| multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)))) = multiply(X_58,multiply(X_58,commutator(inverse(X_58),Y))) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)))),multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))))) )],[refute_0_976,refute_0_977]) ).
cnf(refute_0_979,plain,
multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)))) = multiply(X_58,multiply(X_58,commutator(inverse(X_58),Y))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))),multiply(X_58,commutator(inverse(X_58),Y))) )],[refute_0_975,refute_0_978]) ).
cnf(refute_0_980,plain,
( multiply(X_58,multiply(X_58,commutator(inverse(X_58),Y))) != multiply(inverse(X_58),commutator(inverse(X_58),Y))
| multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)))) != multiply(X_58,multiply(X_58,commutator(inverse(X_58),Y)))
| multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)))) = multiply(inverse(X_58),commutator(inverse(X_58),Y)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)))))),bind(Y0,$fot(multiply(X_58,multiply(X_58,commutator(inverse(X_58),Y))))),bind(Z0,$fot(multiply(inverse(X_58),commutator(inverse(X_58),Y))))]]) ).
cnf(refute_0_981,plain,
( multiply(X_58,multiply(X_58,commutator(inverse(X_58),Y))) != multiply(inverse(X_58),commutator(inverse(X_58),Y))
| multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)))) = multiply(inverse(X_58),commutator(inverse(X_58),Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)))),multiply(X_58,multiply(X_58,commutator(inverse(X_58),Y)))) )],[refute_0_979,refute_0_980]) ).
cnf(refute_0_982,plain,
multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)))) = multiply(inverse(X_58),commutator(inverse(X_58),Y)),
inference(resolve,[$cnf( $equal(multiply(X_58,multiply(X_58,commutator(inverse(X_58),Y))),multiply(inverse(X_58),commutator(inverse(X_58),Y))) )],[refute_0_962,refute_0_981]) ).
cnf(refute_0_983,plain,
( multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)))) != multiply(inverse(X_58),commutator(inverse(X_58),Y))
| multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) != multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))))
| multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) = multiply(inverse(X_58),commutator(inverse(X_58),Y)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))))),bind(Y0,$fot(multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)))))),bind(Z0,$fot(multiply(inverse(X_58),commutator(inverse(X_58),Y))))]]) ).
cnf(refute_0_984,plain,
( multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)))) != multiply(inverse(X_58),commutator(inverse(X_58),Y))
| multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) = multiply(inverse(X_58),commutator(inverse(X_58),Y)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))),multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))))) )],[refute_0_955,refute_0_983]) ).
cnf(refute_0_985,plain,
multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) = multiply(inverse(X_58),commutator(inverse(X_58),Y)),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y)))),multiply(inverse(X_58),commutator(inverse(X_58),Y))) )],[refute_0_982,refute_0_984]) ).
cnf(refute_0_986,plain,
( multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) != multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))))
| multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) != multiply(inverse(X_58),commutator(inverse(X_58),Y))
| multiply(inverse(X_58),commutator(inverse(X_58),Y)) = multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))),multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))))) ),[0],$fot(multiply(inverse(X_58),commutator(inverse(X_58),Y)))]]) ).
cnf(refute_0_987,plain,
( multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) != multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))))
| multiply(inverse(X_58),commutator(inverse(X_58),Y)) = multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))),multiply(inverse(X_58),commutator(inverse(X_58),Y))) )],[refute_0_985,refute_0_986]) ).
cnf(refute_0_988,plain,
inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))) = multiply(Y,multiply(X_58,inverse(Y))),
inference(subst,[],[refute_0_63:[bind(X_10,$fot(multiply(Y,multiply(X_58,inverse(Y)))))]]) ).
cnf(refute_0_989,plain,
multiply(Y,multiply(inverse(X_58),inverse(Y))) = inverse(multiply(Y,multiply(X_58,inverse(Y)))),
inference(subst,[],[refute_0_406:[bind(X_24,$fot(X_58)),bind(X_27,$fot(Y))]]) ).
cnf(refute_0_990,plain,
inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))) = inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))),
introduced(tautology,[refl,[$fot(inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))))]]) ).
cnf(refute_0_991,plain,
( multiply(Y,multiply(inverse(X_58),inverse(Y))) != inverse(multiply(Y,multiply(X_58,inverse(Y))))
| inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))) != inverse(multiply(Y,multiply(inverse(X_58),inverse(Y))))
| inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))) = inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))),inverse(multiply(Y,multiply(inverse(X_58),inverse(Y))))) ),[1,0],$fot(inverse(multiply(Y,multiply(X_58,inverse(Y)))))]]) ).
cnf(refute_0_992,plain,
( multiply(Y,multiply(inverse(X_58),inverse(Y))) != inverse(multiply(Y,multiply(X_58,inverse(Y))))
| inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))) = inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))),inverse(multiply(Y,multiply(inverse(X_58),inverse(Y))))) )],[refute_0_990,refute_0_991]) ).
cnf(refute_0_993,plain,
inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))) = inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(inverse(X_58),inverse(Y))),inverse(multiply(Y,multiply(X_58,inverse(Y))))) )],[refute_0_989,refute_0_992]) ).
cnf(refute_0_994,plain,
( inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))) != inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))
| inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))) != multiply(Y,multiply(X_58,inverse(Y)))
| inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))) = multiply(Y,multiply(X_58,inverse(Y))) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))))),bind(Y0,$fot(inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))))),bind(Z0,$fot(multiply(Y,multiply(X_58,inverse(Y)))))]]) ).
cnf(refute_0_995,plain,
( inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))) != multiply(Y,multiply(X_58,inverse(Y)))
| inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))) = multiply(Y,multiply(X_58,inverse(Y))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))),inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))) )],[refute_0_993,refute_0_994]) ).
cnf(refute_0_996,plain,
inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))) = multiply(Y,multiply(X_58,inverse(Y))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))),multiply(Y,multiply(X_58,inverse(Y)))) )],[refute_0_988,refute_0_995]) ).
cnf(refute_0_997,plain,
multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y))))) = multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y))))),
introduced(tautology,[refl,[$fot(multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y))))))]]) ).
cnf(refute_0_998,plain,
( multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y))))) != multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))))
| inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))) != multiply(Y,multiply(X_58,inverse(Y)))
| multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y))))) = multiply(X_58,multiply(Y,multiply(X_58,inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y))))),multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))))) ),[1,1],$fot(multiply(Y,multiply(X_58,inverse(Y))))]]) ).
cnf(refute_0_999,plain,
( inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))) != multiply(Y,multiply(X_58,inverse(Y)))
| multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y))))) = multiply(X_58,multiply(Y,multiply(X_58,inverse(Y)))) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y))))),multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))))) )],[refute_0_997,refute_0_998]) ).
cnf(refute_0_1000,plain,
multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y))))) = multiply(X_58,multiply(Y,multiply(X_58,inverse(Y)))),
inference(resolve,[$cnf( $equal(inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))),multiply(Y,multiply(X_58,inverse(Y)))) )],[refute_0_996,refute_0_999]) ).
cnf(refute_0_1001,plain,
( multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y))))) != multiply(X_58,multiply(Y,multiply(X_58,inverse(Y))))
| multiply(inverse(X_58),commutator(inverse(X_58),Y)) != multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))))
| multiply(inverse(X_58),commutator(inverse(X_58),Y)) = multiply(X_58,multiply(Y,multiply(X_58,inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_58),commutator(inverse(X_58),Y)),multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))))) ),[1],$fot(multiply(X_58,multiply(Y,multiply(X_58,inverse(Y)))))]]) ).
cnf(refute_0_1002,plain,
( multiply(inverse(X_58),commutator(inverse(X_58),Y)) != multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))))
| multiply(inverse(X_58),commutator(inverse(X_58),Y)) = multiply(X_58,multiply(Y,multiply(X_58,inverse(Y)))) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y))))),multiply(X_58,multiply(Y,multiply(X_58,inverse(Y))))) )],[refute_0_1000,refute_0_1001]) ).
cnf(refute_0_1003,plain,
( multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))) != multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))))
| multiply(inverse(X_58),commutator(inverse(X_58),Y)) = multiply(X_58,multiply(Y,multiply(X_58,inverse(Y)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),commutator(inverse(X_58),Y)),multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))))) )],[refute_0_987,refute_0_1002]) ).
cnf(refute_0_1004,plain,
multiply(inverse(X_58),commutator(inverse(X_58),Y)) = multiply(X_58,multiply(Y,multiply(X_58,inverse(Y)))),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(inverse(X_58)),Y),multiply(inverse(X_58),commutator(inverse(inverse(X_58)),Y))),multiply(X_58,inverse(multiply(Y,multiply(inverse(X_58),inverse(Y)))))) )],[refute_0_961,refute_0_1003]) ).
cnf(refute_0_1005,plain,
( multiply(inverse(X_58),commutator(inverse(X_58),Y)) != multiply(X_58,multiply(Y,multiply(X_58,inverse(Y))))
| multiply(X_58,multiply(Y,multiply(X_58,inverse(Y)))) = multiply(inverse(X_58),commutator(inverse(X_58),Y)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(inverse(X_58),commutator(inverse(X_58),Y)))),bind(Y0,$fot(multiply(X_58,multiply(Y,multiply(X_58,inverse(Y))))))]]) ).
cnf(refute_0_1006,plain,
multiply(X_58,multiply(Y,multiply(X_58,inverse(Y)))) = multiply(inverse(X_58),commutator(inverse(X_58),Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),commutator(inverse(X_58),Y)),multiply(X_58,multiply(Y,multiply(X_58,inverse(Y))))) )],[refute_0_1004,refute_0_1005]) ).
cnf(refute_0_1007,plain,
multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))) = multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))),
introduced(tautology,[refl,[$fot(multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))))]]) ).
cnf(refute_0_1008,plain,
( multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))) != multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))))
| inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))) != multiply(Y,multiply(X_58,inverse(Y)))
| multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))) = multiply(X_58,multiply(Y,multiply(X_58,inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))),multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))))) ),[1,1],$fot(multiply(Y,multiply(X_58,inverse(Y))))]]) ).
cnf(refute_0_1009,plain,
( inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))) != multiply(Y,multiply(X_58,inverse(Y)))
| multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))) = multiply(X_58,multiply(Y,multiply(X_58,inverse(Y)))) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))),multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))))) )],[refute_0_1007,refute_0_1008]) ).
cnf(refute_0_1010,plain,
multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))) = multiply(X_58,multiply(Y,multiply(X_58,inverse(Y)))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))),multiply(Y,multiply(X_58,inverse(Y)))) )],[refute_0_988,refute_0_1009]) ).
cnf(refute_0_1011,plain,
( multiply(X_58,multiply(Y,multiply(X_58,inverse(Y)))) != multiply(inverse(X_58),commutator(inverse(X_58),Y))
| multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))) != multiply(X_58,multiply(Y,multiply(X_58,inverse(Y))))
| multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))) = multiply(inverse(X_58),commutator(inverse(X_58),Y)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))))),bind(Y0,$fot(multiply(X_58,multiply(Y,multiply(X_58,inverse(Y)))))),bind(Z0,$fot(multiply(inverse(X_58),commutator(inverse(X_58),Y))))]]) ).
cnf(refute_0_1012,plain,
( multiply(X_58,multiply(Y,multiply(X_58,inverse(Y)))) != multiply(inverse(X_58),commutator(inverse(X_58),Y))
| multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))) = multiply(inverse(X_58),commutator(inverse(X_58),Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))),multiply(X_58,multiply(Y,multiply(X_58,inverse(Y))))) )],[refute_0_1010,refute_0_1011]) ).
cnf(refute_0_1013,plain,
multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))) = multiply(inverse(X_58),commutator(inverse(X_58),Y)),
inference(resolve,[$cnf( $equal(multiply(X_58,multiply(Y,multiply(X_58,inverse(Y)))),multiply(inverse(X_58),commutator(inverse(X_58),Y))) )],[refute_0_1006,refute_0_1012]) ).
cnf(refute_0_1014,plain,
( multiply(X_58,inverse(multiply(inverse(X_58),commutator(X_58,Y)))) != multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))))
| multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))) != multiply(inverse(X_58),commutator(inverse(X_58),Y))
| multiply(X_58,inverse(multiply(inverse(X_58),commutator(X_58,Y)))) = multiply(inverse(X_58),commutator(inverse(X_58),Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_58,inverse(multiply(inverse(X_58),commutator(X_58,Y)))),multiply(inverse(X_58),commutator(inverse(X_58),Y))) ),[0],$fot(multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))))]]) ).
cnf(refute_0_1015,plain,
( multiply(X_58,inverse(multiply(inverse(X_58),commutator(X_58,Y)))) != multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))))
| multiply(X_58,inverse(multiply(inverse(X_58),commutator(X_58,Y)))) = multiply(inverse(X_58),commutator(inverse(X_58),Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y)))))),multiply(inverse(X_58),commutator(inverse(X_58),Y))) )],[refute_0_1013,refute_0_1014]) ).
cnf(refute_0_1016,plain,
( multiply(commutator(X_58,Y),multiply(inverse(X_58),commutator(X_58,Y))) != multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))))
| multiply(X_58,inverse(multiply(inverse(X_58),commutator(X_58,Y)))) = multiply(inverse(X_58),commutator(inverse(X_58),Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(inverse(X_58),commutator(X_58,Y)))),multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))))) )],[refute_0_954,refute_0_1015]) ).
cnf(refute_0_1017,plain,
multiply(X_58,inverse(multiply(inverse(X_58),commutator(X_58,Y)))) = multiply(inverse(X_58),commutator(inverse(X_58),Y)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_58,Y),multiply(inverse(X_58),commutator(X_58,Y))),multiply(X_58,inverse(inverse(multiply(Y,multiply(X_58,inverse(Y))))))) )],[refute_0_952,refute_0_1016]) ).
cnf(refute_0_1018,plain,
multiply(X_48,inverse(multiply(inverse(X_48),commutator(X_48,X_47)))) = multiply(inverse(X_48),commutator(inverse(X_48),X_47)),
inference(subst,[],[refute_0_1017:[bind(Y,$fot(X_47)),bind(X_58,$fot(X_48))]]) ).
cnf(refute_0_1019,plain,
( multiply(X_48,inverse(multiply(inverse(X_48),commutator(X_48,X_47)))) != multiply(inverse(X_48),commutator(inverse(X_48),X_47))
| multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))) != multiply(X_48,inverse(multiply(inverse(X_48),commutator(X_48,X_47))))
| multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))) = multiply(inverse(X_48),commutator(inverse(X_48),X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))),multiply(X_48,inverse(multiply(inverse(X_48),commutator(X_48,X_47))))) ),[1],$fot(multiply(inverse(X_48),commutator(inverse(X_48),X_47)))]]) ).
cnf(refute_0_1020,plain,
( multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))) != multiply(X_48,inverse(multiply(inverse(X_48),commutator(X_48,X_47))))
| multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))) = multiply(inverse(X_48),commutator(inverse(X_48),X_47)) ),
inference(resolve,[$cnf( $equal(multiply(X_48,inverse(multiply(inverse(X_48),commutator(X_48,X_47)))),multiply(inverse(X_48),commutator(inverse(X_48),X_47))) )],[refute_0_1018,refute_0_1019]) ).
cnf(refute_0_1021,plain,
multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))) = multiply(inverse(X_48),commutator(inverse(X_48),X_47)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))),multiply(X_48,inverse(multiply(inverse(X_48),commutator(X_48,X_47))))) )],[refute_0_945,refute_0_1020]) ).
cnf(refute_0_1022,plain,
multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))) = multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))))]]) ).
cnf(refute_0_1023,plain,
( multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))) != multiply(inverse(X_48),commutator(inverse(X_48),X_47))
| multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))) != multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))))
| multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))) = multiply(inverse(X_48),multiply(inverse(X_48),commutator(inverse(X_48),X_47))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))),multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))))) ),[1,1],$fot(multiply(inverse(X_48),commutator(inverse(X_48),X_47)))]]) ).
cnf(refute_0_1024,plain,
( multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))) != multiply(inverse(X_48),commutator(inverse(X_48),X_47))
| multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))) = multiply(inverse(X_48),multiply(inverse(X_48),commutator(inverse(X_48),X_47))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))),multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))))) )],[refute_0_1022,refute_0_1023]) ).
cnf(refute_0_1025,plain,
multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))) = multiply(inverse(X_48),multiply(inverse(X_48),commutator(inverse(X_48),X_47))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))),multiply(inverse(X_48),commutator(inverse(X_48),X_47))) )],[refute_0_1021,refute_0_1024]) ).
cnf(refute_0_1026,plain,
( multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))) != multiply(inverse(X_48),multiply(inverse(X_48),commutator(inverse(X_48),X_47)))
| multiply(inverse(X_48),multiply(inverse(X_48),commutator(inverse(X_48),X_47))) != multiply(X_48,commutator(inverse(X_48),X_47))
| multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))) = multiply(X_48,commutator(inverse(X_48),X_47)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))))),bind(Y0,$fot(multiply(inverse(X_48),multiply(inverse(X_48),commutator(inverse(X_48),X_47))))),bind(Z0,$fot(multiply(X_48,commutator(inverse(X_48),X_47))))]]) ).
cnf(refute_0_1027,plain,
( multiply(inverse(X_48),multiply(inverse(X_48),commutator(inverse(X_48),X_47))) != multiply(X_48,commutator(inverse(X_48),X_47))
| multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))) = multiply(X_48,commutator(inverse(X_48),X_47)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))),multiply(inverse(X_48),multiply(inverse(X_48),commutator(inverse(X_48),X_47)))) )],[refute_0_1025,refute_0_1026]) ).
cnf(refute_0_1028,plain,
multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))) = multiply(X_48,commutator(inverse(X_48),X_47)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_48),multiply(inverse(X_48),commutator(inverse(X_48),X_47))),multiply(X_48,commutator(inverse(X_48),X_47))) )],[refute_0_934,refute_0_1027]) ).
cnf(refute_0_1029,plain,
( multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))) != multiply(X_48,commutator(inverse(X_48),X_47))
| inverse(multiply(inverse(X_48),commutator(X_48,X_47))) != multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))))
| inverse(multiply(inverse(X_48),commutator(X_48,X_47))) = multiply(X_48,commutator(inverse(X_48),X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_48),commutator(X_48,X_47))),multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))))) ),[1],$fot(multiply(X_48,commutator(inverse(X_48),X_47)))]]) ).
cnf(refute_0_1030,plain,
( inverse(multiply(inverse(X_48),commutator(X_48,X_47))) != multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))))
| inverse(multiply(inverse(X_48),commutator(X_48,X_47))) = multiply(X_48,commutator(inverse(X_48),X_47)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47)))))),multiply(X_48,commutator(inverse(X_48),X_47))) )],[refute_0_1028,refute_0_1029]) ).
cnf(refute_0_1031,plain,
inverse(multiply(inverse(X_48),commutator(X_48,X_47))) = multiply(X_48,commutator(inverse(X_48),X_47)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_48),commutator(X_48,X_47))),multiply(inverse(X_48),multiply(commutator(X_48,X_47),inverse(multiply(X_47,multiply(X_48,inverse(X_47))))))) )],[refute_0_925,refute_0_1030]) ).
cnf(refute_0_1032,plain,
inverse(inverse(multiply(X_48,commutator(X_47,X_48)))) = multiply(X_48,commutator(X_47,X_48)),
inference(subst,[],[refute_0_63:[bind(X_10,$fot(multiply(X_48,commutator(X_47,X_48))))]]) ).
cnf(refute_0_1033,plain,
inverse(multiply(X_62,commutator(inverse(X_62),multiply(X_62,X_54)))) = multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54))),
inference(subst,[],[refute_0_971:[bind(X_47,$fot(multiply(X_62,X_54))),bind(X_48,$fot(X_62))]]) ).
cnf(refute_0_1034,plain,
commutator(X_54,X_62) = commutator(inverse(X_62),multiply(X_62,X_54)),
inference(subst,[],[refute_0_466:[bind(X_53,$fot(X_62))]]) ).
cnf(refute_0_1035,plain,
( commutator(X_54,X_62) != commutator(inverse(X_62),multiply(X_62,X_54))
| commutator(inverse(X_62),multiply(X_62,X_54)) = commutator(X_54,X_62) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(commutator(X_54,X_62))),bind(Y0,$fot(commutator(inverse(X_62),multiply(X_62,X_54))))]]) ).
cnf(refute_0_1036,plain,
commutator(inverse(X_62),multiply(X_62,X_54)) = commutator(X_54,X_62),
inference(resolve,[$cnf( $equal(commutator(X_54,X_62),commutator(inverse(X_62),multiply(X_62,X_54))) )],[refute_0_1034,refute_0_1035]) ).
cnf(refute_0_1037,plain,
( commutator(inverse(X_62),multiply(X_62,X_54)) != commutator(X_54,X_62)
| inverse(multiply(X_62,commutator(inverse(X_62),multiply(X_62,X_54)))) != multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54)))
| inverse(multiply(X_62,commutator(X_54,X_62))) = multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_62,commutator(inverse(X_62),multiply(X_62,X_54)))),multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54)))) ),[0,0,1],$fot(commutator(X_54,X_62))]]) ).
cnf(refute_0_1038,plain,
( inverse(multiply(X_62,commutator(inverse(X_62),multiply(X_62,X_54)))) != multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54)))
| inverse(multiply(X_62,commutator(X_54,X_62))) = multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_62),multiply(X_62,X_54)),commutator(X_54,X_62)) )],[refute_0_1036,refute_0_1037]) ).
cnf(refute_0_1039,plain,
inverse(multiply(X_62,commutator(X_54,X_62))) = multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_62,commutator(inverse(X_62),multiply(X_62,X_54)))),multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54)))) )],[refute_0_1033,refute_0_1038]) ).
cnf(refute_0_1040,plain,
commutator(X_62,multiply(X_62,X_54)) = commutator(X_62,X_54),
inference(subst,[],[refute_0_762:[bind(Y,$fot(X_54)),bind(X_38,$fot(X_62))]]) ).
cnf(refute_0_1041,plain,
multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54))) = multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54))))]]) ).
cnf(refute_0_1042,plain,
( multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54))) != multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54)))
| commutator(X_62,multiply(X_62,X_54)) != commutator(X_62,X_54)
| multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54))) = multiply(inverse(X_62),commutator(X_62,X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54))),multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54)))) ),[1,1],$fot(commutator(X_62,X_54))]]) ).
cnf(refute_0_1043,plain,
( commutator(X_62,multiply(X_62,X_54)) != commutator(X_62,X_54)
| multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54))) = multiply(inverse(X_62),commutator(X_62,X_54)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54))),multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54)))) )],[refute_0_1041,refute_0_1042]) ).
cnf(refute_0_1044,plain,
multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54))) = multiply(inverse(X_62),commutator(X_62,X_54)),
inference(resolve,[$cnf( $equal(commutator(X_62,multiply(X_62,X_54)),commutator(X_62,X_54)) )],[refute_0_1040,refute_0_1043]) ).
cnf(refute_0_1045,plain,
( multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54))) != multiply(inverse(X_62),commutator(X_62,X_54))
| inverse(multiply(X_62,commutator(X_54,X_62))) != multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54)))
| inverse(multiply(X_62,commutator(X_54,X_62))) = multiply(inverse(X_62),commutator(X_62,X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_62,commutator(X_54,X_62))),multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54)))) ),[1],$fot(multiply(inverse(X_62),commutator(X_62,X_54)))]]) ).
cnf(refute_0_1046,plain,
( inverse(multiply(X_62,commutator(X_54,X_62))) != multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54)))
| inverse(multiply(X_62,commutator(X_54,X_62))) = multiply(inverse(X_62),commutator(X_62,X_54)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54))),multiply(inverse(X_62),commutator(X_62,X_54))) )],[refute_0_1044,refute_0_1045]) ).
cnf(refute_0_1047,plain,
inverse(multiply(X_62,commutator(X_54,X_62))) = multiply(inverse(X_62),commutator(X_62,X_54)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_62,commutator(X_54,X_62))),multiply(inverse(X_62),commutator(X_62,multiply(X_62,X_54)))) )],[refute_0_1039,refute_0_1046]) ).
cnf(refute_0_1048,plain,
( inverse(multiply(X_62,commutator(X_54,X_62))) != multiply(inverse(X_62),commutator(X_62,X_54))
| multiply(inverse(X_62),commutator(X_62,X_54)) = inverse(multiply(X_62,commutator(X_54,X_62))) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(inverse(multiply(X_62,commutator(X_54,X_62))))),bind(Y0,$fot(multiply(inverse(X_62),commutator(X_62,X_54))))]]) ).
cnf(refute_0_1049,plain,
multiply(inverse(X_62),commutator(X_62,X_54)) = inverse(multiply(X_62,commutator(X_54,X_62))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_62,commutator(X_54,X_62))),multiply(inverse(X_62),commutator(X_62,X_54))) )],[refute_0_1047,refute_0_1048]) ).
cnf(refute_0_1050,plain,
multiply(inverse(X_48),commutator(X_48,X_47)) = inverse(multiply(X_48,commutator(X_47,X_48))),
inference(subst,[],[refute_0_1049:[bind(X_54,$fot(X_47)),bind(X_62,$fot(X_48))]]) ).
cnf(refute_0_1051,plain,
inverse(multiply(inverse(X_48),commutator(X_48,X_47))) = inverse(multiply(inverse(X_48),commutator(X_48,X_47))),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(X_48),commutator(X_48,X_47))))]]) ).
cnf(refute_0_1052,plain,
( multiply(inverse(X_48),commutator(X_48,X_47)) != inverse(multiply(X_48,commutator(X_47,X_48)))
| inverse(multiply(inverse(X_48),commutator(X_48,X_47))) != inverse(multiply(inverse(X_48),commutator(X_48,X_47)))
| inverse(multiply(inverse(X_48),commutator(X_48,X_47))) = inverse(inverse(multiply(X_48,commutator(X_47,X_48)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_48),commutator(X_48,X_47))),inverse(multiply(inverse(X_48),commutator(X_48,X_47)))) ),[1,0],$fot(inverse(multiply(X_48,commutator(X_47,X_48))))]]) ).
cnf(refute_0_1053,plain,
( multiply(inverse(X_48),commutator(X_48,X_47)) != inverse(multiply(X_48,commutator(X_47,X_48)))
| inverse(multiply(inverse(X_48),commutator(X_48,X_47))) = inverse(inverse(multiply(X_48,commutator(X_47,X_48)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_48),commutator(X_48,X_47))),inverse(multiply(inverse(X_48),commutator(X_48,X_47)))) )],[refute_0_1051,refute_0_1052]) ).
cnf(refute_0_1054,plain,
inverse(multiply(inverse(X_48),commutator(X_48,X_47))) = inverse(inverse(multiply(X_48,commutator(X_47,X_48)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_48),commutator(X_48,X_47)),inverse(multiply(X_48,commutator(X_47,X_48)))) )],[refute_0_1050,refute_0_1053]) ).
cnf(refute_0_1055,plain,
( inverse(multiply(inverse(X_48),commutator(X_48,X_47))) != inverse(inverse(multiply(X_48,commutator(X_47,X_48))))
| inverse(inverse(multiply(X_48,commutator(X_47,X_48)))) != multiply(X_48,commutator(X_47,X_48))
| inverse(multiply(inverse(X_48),commutator(X_48,X_47))) = multiply(X_48,commutator(X_47,X_48)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(inverse(multiply(inverse(X_48),commutator(X_48,X_47))))),bind(Y0,$fot(inverse(inverse(multiply(X_48,commutator(X_47,X_48)))))),bind(Z0,$fot(multiply(X_48,commutator(X_47,X_48))))]]) ).
cnf(refute_0_1056,plain,
( inverse(inverse(multiply(X_48,commutator(X_47,X_48)))) != multiply(X_48,commutator(X_47,X_48))
| inverse(multiply(inverse(X_48),commutator(X_48,X_47))) = multiply(X_48,commutator(X_47,X_48)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_48),commutator(X_48,X_47))),inverse(inverse(multiply(X_48,commutator(X_47,X_48))))) )],[refute_0_1054,refute_0_1055]) ).
cnf(refute_0_1057,plain,
inverse(multiply(inverse(X_48),commutator(X_48,X_47))) = multiply(X_48,commutator(X_47,X_48)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_48,commutator(X_47,X_48)))),multiply(X_48,commutator(X_47,X_48))) )],[refute_0_1032,refute_0_1056]) ).
cnf(refute_0_1058,plain,
( inverse(multiply(inverse(X_48),commutator(X_48,X_47))) != multiply(X_48,commutator(X_47,X_48))
| inverse(multiply(inverse(X_48),commutator(X_48,X_47))) != multiply(X_48,commutator(inverse(X_48),X_47))
| multiply(X_48,commutator(X_47,X_48)) = multiply(X_48,commutator(inverse(X_48),X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_48),commutator(X_48,X_47))),multiply(X_48,commutator(inverse(X_48),X_47))) ),[0],$fot(multiply(X_48,commutator(X_47,X_48)))]]) ).
cnf(refute_0_1059,plain,
( inverse(multiply(inverse(X_48),commutator(X_48,X_47))) != multiply(X_48,commutator(inverse(X_48),X_47))
| multiply(X_48,commutator(X_47,X_48)) = multiply(X_48,commutator(inverse(X_48),X_47)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_48),commutator(X_48,X_47))),multiply(X_48,commutator(X_47,X_48))) )],[refute_0_1057,refute_0_1058]) ).
cnf(refute_0_1060,plain,
multiply(X_48,commutator(X_47,X_48)) = multiply(X_48,commutator(inverse(X_48),X_47)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_48),commutator(X_48,X_47))),multiply(X_48,commutator(inverse(X_48),X_47))) )],[refute_0_1031,refute_0_1059]) ).
cnf(refute_0_1061,plain,
( multiply(X_48,commutator(X_47,X_48)) != multiply(X_48,commutator(inverse(X_48),X_47))
| multiply(X_48,commutator(inverse(X_48),X_47)) = multiply(X_48,commutator(X_47,X_48)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(X_48,commutator(X_47,X_48)))),bind(Y0,$fot(multiply(X_48,commutator(inverse(X_48),X_47))))]]) ).
cnf(refute_0_1062,plain,
multiply(X_48,commutator(inverse(X_48),X_47)) = multiply(X_48,commutator(X_47,X_48)),
inference(resolve,[$cnf( $equal(multiply(X_48,commutator(X_47,X_48)),multiply(X_48,commutator(inverse(X_48),X_47))) )],[refute_0_1060,refute_0_1061]) ).
cnf(refute_0_1063,plain,
multiply(X_24,commutator(inverse(X_24),Y)) = multiply(X_24,commutator(Y,X_24)),
inference(subst,[],[refute_0_1062:[bind(X_47,$fot(Y)),bind(X_48,$fot(X_24))]]) ).
cnf(refute_0_1064,plain,
( multiply(Y,multiply(X_24,inverse(Y))) != multiply(X_24,commutator(inverse(X_24),Y))
| multiply(X_24,commutator(inverse(X_24),Y)) != multiply(X_24,commutator(Y,X_24))
| multiply(Y,multiply(X_24,inverse(Y))) = multiply(X_24,commutator(Y,X_24)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(Y,multiply(X_24,inverse(Y))),multiply(X_24,commutator(Y,X_24))) ),[0],$fot(multiply(X_24,commutator(inverse(X_24),Y)))]]) ).
cnf(refute_0_1065,plain,
( multiply(Y,multiply(X_24,inverse(Y))) != multiply(X_24,commutator(inverse(X_24),Y))
| multiply(Y,multiply(X_24,inverse(Y))) = multiply(X_24,commutator(Y,X_24)) ),
inference(resolve,[$cnf( $equal(multiply(X_24,commutator(inverse(X_24),Y)),multiply(X_24,commutator(Y,X_24))) )],[refute_0_1063,refute_0_1064]) ).
cnf(refute_0_1066,plain,
multiply(Y,multiply(X_24,inverse(Y))) = multiply(X_24,commutator(Y,X_24)),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_24,inverse(Y))),multiply(X_24,commutator(inverse(X_24),Y))) )],[refute_0_310,refute_0_1065]) ).
cnf(refute_0_1067,plain,
multiply(X_47,multiply(X_95,inverse(X_47))) = multiply(X_95,commutator(X_47,X_95)),
inference(subst,[],[refute_0_1066:[bind(Y,$fot(X_47)),bind(X_24,$fot(X_95))]]) ).
cnf(refute_0_1068,plain,
( multiply(X_47,multiply(X_95,inverse(X_47))) != multiply(X_95,commutator(X_47,X_95))
| inverse(multiply(X_47,multiply(X_95,inverse(X_47)))) != multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47))
| inverse(multiply(X_95,commutator(X_47,X_95))) = multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_47,multiply(X_95,inverse(X_47)))),multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47))) ),[0,0],$fot(multiply(X_95,commutator(X_47,X_95)))]]) ).
cnf(refute_0_1069,plain,
( inverse(multiply(X_47,multiply(X_95,inverse(X_47)))) != multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47))
| inverse(multiply(X_95,commutator(X_47,X_95))) = multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47)) ),
inference(resolve,[$cnf( $equal(multiply(X_47,multiply(X_95,inverse(X_47))),multiply(X_95,commutator(X_47,X_95))) )],[refute_0_1067,refute_0_1068]) ).
cnf(refute_0_1070,plain,
inverse(multiply(X_95,commutator(X_47,X_95))) = multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_47,multiply(X_95,inverse(X_47)))),multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47))) )],[refute_0_919,refute_0_1069]) ).
cnf(refute_0_1071,plain,
multiply(X_26,inverse(inverse(X_8))) = multiply(X_8,multiply(inverse(X_8),multiply(X_26,inverse(inverse(X_8))))),
inference(subst,[],[refute_0_291:[bind(X_10,$fot(multiply(X_26,inverse(inverse(X_8)))))]]) ).
cnf(refute_0_1072,plain,
multiply(inverse(X_8),multiply(X_26,inverse(inverse(X_8)))) = multiply(X_26,commutator(inverse(X_26),inverse(X_8))),
inference(subst,[],[refute_0_310:[bind(Y,$fot(inverse(X_8))),bind(X_24,$fot(X_26))]]) ).
cnf(refute_0_1073,plain,
( multiply(X_26,inverse(inverse(X_8))) != multiply(X_8,multiply(inverse(X_8),multiply(X_26,inverse(inverse(X_8)))))
| multiply(inverse(X_8),multiply(X_26,inverse(inverse(X_8)))) != multiply(X_26,commutator(inverse(X_26),inverse(X_8)))
| multiply(X_26,inverse(inverse(X_8))) = multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_26,inverse(inverse(X_8))),multiply(X_8,multiply(inverse(X_8),multiply(X_26,inverse(inverse(X_8)))))) ),[1,1],$fot(multiply(X_26,commutator(inverse(X_26),inverse(X_8))))]]) ).
cnf(refute_0_1074,plain,
( multiply(X_26,inverse(inverse(X_8))) != multiply(X_8,multiply(inverse(X_8),multiply(X_26,inverse(inverse(X_8)))))
| multiply(X_26,inverse(inverse(X_8))) = multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_8),multiply(X_26,inverse(inverse(X_8)))),multiply(X_26,commutator(inverse(X_26),inverse(X_8)))) )],[refute_0_1072,refute_0_1073]) ).
cnf(refute_0_1075,plain,
multiply(X_26,inverse(inverse(X_8))) = multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8)))),
inference(resolve,[$cnf( $equal(multiply(X_26,inverse(inverse(X_8))),multiply(X_8,multiply(inverse(X_8),multiply(X_26,inverse(inverse(X_8)))))) )],[refute_0_1071,refute_0_1074]) ).
cnf(refute_0_1076,plain,
inverse(inverse(X_8)) = X_8,
inference(subst,[],[refute_0_63:[bind(X_10,$fot(X_8))]]) ).
cnf(refute_0_1077,plain,
multiply(X_26,inverse(inverse(X_8))) = multiply(X_26,inverse(inverse(X_8))),
introduced(tautology,[refl,[$fot(multiply(X_26,inverse(inverse(X_8))))]]) ).
cnf(refute_0_1078,plain,
( multiply(X_26,inverse(inverse(X_8))) != multiply(X_26,inverse(inverse(X_8)))
| inverse(inverse(X_8)) != X_8
| multiply(X_26,inverse(inverse(X_8))) = multiply(X_26,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_26,inverse(inverse(X_8))),multiply(X_26,inverse(inverse(X_8)))) ),[1,1],$fot(X_8)]]) ).
cnf(refute_0_1079,plain,
( inverse(inverse(X_8)) != X_8
| multiply(X_26,inverse(inverse(X_8))) = multiply(X_26,X_8) ),
inference(resolve,[$cnf( $equal(multiply(X_26,inverse(inverse(X_8))),multiply(X_26,inverse(inverse(X_8)))) )],[refute_0_1077,refute_0_1078]) ).
cnf(refute_0_1080,plain,
multiply(X_26,inverse(inverse(X_8))) = multiply(X_26,X_8),
inference(resolve,[$cnf( $equal(inverse(inverse(X_8)),X_8) )],[refute_0_1076,refute_0_1079]) ).
cnf(refute_0_1081,plain,
( multiply(X_26,inverse(inverse(X_8))) != multiply(X_26,X_8)
| multiply(X_26,inverse(inverse(X_8))) != multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8))))
| multiply(X_26,X_8) = multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_26,inverse(inverse(X_8))),multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8))))) ),[0],$fot(multiply(X_26,X_8))]]) ).
cnf(refute_0_1082,plain,
( multiply(X_26,inverse(inverse(X_8))) != multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8))))
| multiply(X_26,X_8) = multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8)))) ),
inference(resolve,[$cnf( $equal(multiply(X_26,inverse(inverse(X_8))),multiply(X_26,X_8)) )],[refute_0_1080,refute_0_1081]) ).
cnf(refute_0_1083,plain,
multiply(X_26,X_8) = multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8)))),
inference(resolve,[$cnf( $equal(multiply(X_26,inverse(inverse(X_8))),multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8))))) )],[refute_0_1075,refute_0_1082]) ).
cnf(refute_0_1084,plain,
commutator(X_8,inverse(X_26)) = commutator(X_26,X_8),
inference(subst,[],[refute_0_669:[bind(X_58,$fot(X_26)),bind(X_9,$fot(X_8))]]) ).
cnf(refute_0_1085,plain,
commutator(inverse(X_26),inverse(X_8)) = commutator(X_8,inverse(X_26)),
inference(subst,[],[refute_0_669:[bind(X_58,$fot(X_8)),bind(X_9,$fot(inverse(X_26)))]]) ).
cnf(refute_0_1086,plain,
( commutator(X_8,inverse(X_26)) != commutator(X_26,X_8)
| commutator(inverse(X_26),inverse(X_8)) != commutator(X_8,inverse(X_26))
| commutator(inverse(X_26),inverse(X_8)) = commutator(X_26,X_8) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(commutator(inverse(X_26),inverse(X_8)))),bind(Y0,$fot(commutator(X_8,inverse(X_26)))),bind(Z0,$fot(commutator(X_26,X_8)))]]) ).
cnf(refute_0_1087,plain,
( commutator(X_8,inverse(X_26)) != commutator(X_26,X_8)
| commutator(inverse(X_26),inverse(X_8)) = commutator(X_26,X_8) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_26),inverse(X_8)),commutator(X_8,inverse(X_26))) )],[refute_0_1085,refute_0_1086]) ).
cnf(refute_0_1088,plain,
commutator(inverse(X_26),inverse(X_8)) = commutator(X_26,X_8),
inference(resolve,[$cnf( $equal(commutator(X_8,inverse(X_26)),commutator(X_26,X_8)) )],[refute_0_1084,refute_0_1087]) ).
cnf(refute_0_1089,plain,
multiply(X_26,commutator(inverse(X_26),inverse(X_8))) = multiply(X_26,commutator(inverse(X_26),inverse(X_8))),
introduced(tautology,[refl,[$fot(multiply(X_26,commutator(inverse(X_26),inverse(X_8))))]]) ).
cnf(refute_0_1090,plain,
( multiply(X_26,commutator(inverse(X_26),inverse(X_8))) != multiply(X_26,commutator(inverse(X_26),inverse(X_8)))
| commutator(inverse(X_26),inverse(X_8)) != commutator(X_26,X_8)
| multiply(X_26,commutator(inverse(X_26),inverse(X_8))) = multiply(X_26,commutator(X_26,X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_26,commutator(inverse(X_26),inverse(X_8))),multiply(X_26,commutator(inverse(X_26),inverse(X_8)))) ),[1,1],$fot(commutator(X_26,X_8))]]) ).
cnf(refute_0_1091,plain,
( commutator(inverse(X_26),inverse(X_8)) != commutator(X_26,X_8)
| multiply(X_26,commutator(inverse(X_26),inverse(X_8))) = multiply(X_26,commutator(X_26,X_8)) ),
inference(resolve,[$cnf( $equal(multiply(X_26,commutator(inverse(X_26),inverse(X_8))),multiply(X_26,commutator(inverse(X_26),inverse(X_8)))) )],[refute_0_1089,refute_0_1090]) ).
cnf(refute_0_1092,plain,
multiply(X_26,commutator(inverse(X_26),inverse(X_8))) = multiply(X_26,commutator(X_26,X_8)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_26),inverse(X_8)),commutator(X_26,X_8)) )],[refute_0_1088,refute_0_1091]) ).
cnf(refute_0_1093,plain,
multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8)))) = multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8)))),
introduced(tautology,[refl,[$fot(multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8)))))]]) ).
cnf(refute_0_1094,plain,
( multiply(X_26,commutator(inverse(X_26),inverse(X_8))) != multiply(X_26,commutator(X_26,X_8))
| multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8)))) != multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8))))
| multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8)))) = multiply(X_8,multiply(X_26,commutator(X_26,X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8)))),multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8))))) ),[1,1],$fot(multiply(X_26,commutator(X_26,X_8)))]]) ).
cnf(refute_0_1095,plain,
( multiply(X_26,commutator(inverse(X_26),inverse(X_8))) != multiply(X_26,commutator(X_26,X_8))
| multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8)))) = multiply(X_8,multiply(X_26,commutator(X_26,X_8))) ),
inference(resolve,[$cnf( $equal(multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8)))),multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8))))) )],[refute_0_1093,refute_0_1094]) ).
cnf(refute_0_1096,plain,
multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8)))) = multiply(X_8,multiply(X_26,commutator(X_26,X_8))),
inference(resolve,[$cnf( $equal(multiply(X_26,commutator(inverse(X_26),inverse(X_8))),multiply(X_26,commutator(X_26,X_8))) )],[refute_0_1092,refute_0_1095]) ).
cnf(refute_0_1097,plain,
( multiply(X_26,X_8) != multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8))))
| multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8)))) != multiply(X_8,multiply(X_26,commutator(X_26,X_8)))
| multiply(X_26,X_8) = multiply(X_8,multiply(X_26,commutator(X_26,X_8))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_26,X_8),multiply(X_8,multiply(X_26,commutator(X_26,X_8)))) ),[0],$fot(multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8)))))]]) ).
cnf(refute_0_1098,plain,
( multiply(X_26,X_8) != multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8))))
| multiply(X_26,X_8) = multiply(X_8,multiply(X_26,commutator(X_26,X_8))) ),
inference(resolve,[$cnf( $equal(multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8)))),multiply(X_8,multiply(X_26,commutator(X_26,X_8)))) )],[refute_0_1096,refute_0_1097]) ).
cnf(refute_0_1099,plain,
multiply(X_26,X_8) = multiply(X_8,multiply(X_26,commutator(X_26,X_8))),
inference(resolve,[$cnf( $equal(multiply(X_26,X_8),multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8))))) )],[refute_0_1083,refute_0_1098]) ).
cnf(refute_0_1100,plain,
multiply(multiply(X_9,X_85),X_85) = multiply(X_85,multiply(multiply(X_9,X_85),commutator(multiply(X_9,X_85),X_85))),
inference(subst,[],[refute_0_1099:[bind(X_26,$fot(multiply(X_9,X_85))),bind(X_8,$fot(X_85))]]) ).
cnf(refute_0_1101,plain,
commutator(multiply(X_9,X_85),X_85) = commutator(X_9,X_85),
inference(subst,[],[refute_0_334:[bind(X_10,$fot(X_85))]]) ).
cnf(refute_0_1102,plain,
( multiply(multiply(X_9,X_85),X_85) != multiply(X_85,multiply(multiply(X_9,X_85),commutator(multiply(X_9,X_85),X_85)))
| commutator(multiply(X_9,X_85),X_85) != commutator(X_9,X_85)
| multiply(multiply(X_9,X_85),X_85) = multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_9,X_85),X_85),multiply(X_85,multiply(multiply(X_9,X_85),commutator(multiply(X_9,X_85),X_85)))) ),[1,1,1],$fot(commutator(X_9,X_85))]]) ).
cnf(refute_0_1103,plain,
( multiply(multiply(X_9,X_85),X_85) != multiply(X_85,multiply(multiply(X_9,X_85),commutator(multiply(X_9,X_85),X_85)))
| multiply(multiply(X_9,X_85),X_85) = multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_9,X_85),X_85),commutator(X_9,X_85)) )],[refute_0_1101,refute_0_1102]) ).
cnf(refute_0_1104,plain,
multiply(multiply(X_9,X_85),X_85) = multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_9,X_85),X_85),multiply(X_85,multiply(multiply(X_9,X_85),commutator(multiply(X_9,X_85),X_85)))) )],[refute_0_1100,refute_0_1103]) ).
cnf(refute_0_1105,plain,
multiply(X_85,X_85) = inverse(X_85),
inference(subst,[],[refute_0_53:[bind(X_14,$fot(X_85))]]) ).
cnf(refute_0_1106,plain,
multiply(X_9,multiply(X_85,X_85)) = multiply(X_9,multiply(X_85,X_85)),
introduced(tautology,[refl,[$fot(multiply(X_9,multiply(X_85,X_85)))]]) ).
cnf(refute_0_1107,plain,
( multiply(X_85,X_85) != inverse(X_85)
| multiply(X_9,multiply(X_85,X_85)) != multiply(X_9,multiply(X_85,X_85))
| multiply(X_9,multiply(X_85,X_85)) = multiply(X_9,inverse(X_85)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_9,multiply(X_85,X_85)),multiply(X_9,multiply(X_85,X_85))) ),[1,1],$fot(inverse(X_85))]]) ).
cnf(refute_0_1108,plain,
( multiply(X_85,X_85) != inverse(X_85)
| multiply(X_9,multiply(X_85,X_85)) = multiply(X_9,inverse(X_85)) ),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(X_85,X_85)),multiply(X_9,multiply(X_85,X_85))) )],[refute_0_1106,refute_0_1107]) ).
cnf(refute_0_1109,plain,
multiply(X_9,multiply(X_85,X_85)) = multiply(X_9,inverse(X_85)),
inference(resolve,[$cnf( $equal(multiply(X_85,X_85),inverse(X_85)) )],[refute_0_1105,refute_0_1108]) ).
cnf(refute_0_1110,plain,
multiply(multiply(X_9,X_85),X_85) = multiply(X_9,multiply(X_85,X_85)),
inference(subst,[],[associativity:[bind(X,$fot(X_9)),bind(Y,$fot(X_85)),bind(Z,$fot(X_85))]]) ).
cnf(refute_0_1111,plain,
( multiply(X_9,multiply(X_85,X_85)) != multiply(X_9,inverse(X_85))
| multiply(multiply(X_9,X_85),X_85) != multiply(X_9,multiply(X_85,X_85))
| multiply(multiply(X_9,X_85),X_85) = multiply(X_9,inverse(X_85)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(multiply(X_9,X_85),X_85))),bind(Y0,$fot(multiply(X_9,multiply(X_85,X_85)))),bind(Z0,$fot(multiply(X_9,inverse(X_85))))]]) ).
cnf(refute_0_1112,plain,
( multiply(X_9,multiply(X_85,X_85)) != multiply(X_9,inverse(X_85))
| multiply(multiply(X_9,X_85),X_85) = multiply(X_9,inverse(X_85)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_9,X_85),X_85),multiply(X_9,multiply(X_85,X_85))) )],[refute_0_1110,refute_0_1111]) ).
cnf(refute_0_1113,plain,
multiply(multiply(X_9,X_85),X_85) = multiply(X_9,inverse(X_85)),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(X_85,X_85)),multiply(X_9,inverse(X_85))) )],[refute_0_1109,refute_0_1112]) ).
cnf(refute_0_1114,plain,
( multiply(multiply(X_9,X_85),X_85) != multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85)))
| multiply(multiply(X_9,X_85),X_85) != multiply(X_9,inverse(X_85))
| multiply(X_9,inverse(X_85)) = multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_9,X_85),X_85),multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85)))) ),[0],$fot(multiply(X_9,inverse(X_85)))]]) ).
cnf(refute_0_1115,plain,
( multiply(multiply(X_9,X_85),X_85) != multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85)))
| multiply(X_9,inverse(X_85)) = multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_9,X_85),X_85),multiply(X_9,inverse(X_85))) )],[refute_0_1113,refute_0_1114]) ).
cnf(refute_0_1116,plain,
inverse(multiply(X,multiply(inverse(X_58),X))) = multiply(X,multiply(multiply(inverse(X_58),X),multiply(X,multiply(inverse(X_58),X)))),
inference(subst,[],[refute_0_365:[bind(Y,$fot(multiply(inverse(X_58),X)))]]) ).
cnf(refute_0_1117,plain,
multiply(X,multiply(inverse(X_58),X)) = multiply(X_58,inverse(multiply(inverse(X_58),X))),
inference(subst,[],[refute_0_540:[bind(X_28,$fot(X)),bind(X_8,$fot(X_58))]]) ).
cnf(refute_0_1118,plain,
( multiply(X,multiply(inverse(X_58),X)) != multiply(X_58,inverse(multiply(inverse(X_58),X)))
| inverse(multiply(X,multiply(inverse(X_58),X))) != multiply(X,multiply(multiply(inverse(X_58),X),multiply(X,multiply(inverse(X_58),X))))
| inverse(multiply(X,multiply(inverse(X_58),X))) = multiply(X,multiply(multiply(inverse(X_58),X),multiply(X_58,inverse(multiply(inverse(X_58),X))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X,multiply(inverse(X_58),X))),multiply(X,multiply(multiply(inverse(X_58),X),multiply(X,multiply(inverse(X_58),X))))) ),[1,1,1],$fot(multiply(X_58,inverse(multiply(inverse(X_58),X))))]]) ).
cnf(refute_0_1119,plain,
( inverse(multiply(X,multiply(inverse(X_58),X))) != multiply(X,multiply(multiply(inverse(X_58),X),multiply(X,multiply(inverse(X_58),X))))
| inverse(multiply(X,multiply(inverse(X_58),X))) = multiply(X,multiply(multiply(inverse(X_58),X),multiply(X_58,inverse(multiply(inverse(X_58),X))))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(inverse(X_58),X)),multiply(X_58,inverse(multiply(inverse(X_58),X)))) )],[refute_0_1117,refute_0_1118]) ).
cnf(refute_0_1120,plain,
inverse(multiply(X,multiply(inverse(X_58),X))) = multiply(X,multiply(multiply(inverse(X_58),X),multiply(X_58,inverse(multiply(inverse(X_58),X))))),
inference(resolve,[$cnf( $equal(inverse(multiply(X,multiply(inverse(X_58),X))),multiply(X,multiply(multiply(inverse(X_58),X),multiply(X,multiply(inverse(X_58),X))))) )],[refute_0_1116,refute_0_1119]) ).
cnf(refute_0_1121,plain,
commutator(inverse(inverse(X_58)),inverse(X)) = commutator(inverse(inverse(X_58)),inverse(X)),
introduced(tautology,[refl,[$fot(commutator(inverse(inverse(X_58)),inverse(X)))]]) ).
cnf(refute_0_1122,plain,
( commutator(inverse(inverse(X_58)),inverse(X)) != commutator(inverse(inverse(X_58)),inverse(X))
| inverse(inverse(X_58)) != X_58
| commutator(inverse(inverse(X_58)),inverse(X)) = commutator(X_58,inverse(X)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(X_58)),inverse(X)),commutator(inverse(inverse(X_58)),inverse(X))) ),[1,0],$fot(X_58)]]) ).
cnf(refute_0_1123,plain,
( inverse(inverse(X_58)) != X_58
| commutator(inverse(inverse(X_58)),inverse(X)) = commutator(X_58,inverse(X)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_58)),inverse(X)),commutator(inverse(inverse(X_58)),inverse(X))) )],[refute_0_1121,refute_0_1122]) ).
cnf(refute_0_1124,plain,
commutator(inverse(inverse(X_58)),inverse(X)) = commutator(X_58,inverse(X)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_58)),X_58) )],[refute_0_963,refute_0_1123]) ).
cnf(refute_0_1125,plain,
commutator(X_8,multiply(X_8,X_9)) = multiply(X_8,multiply(X_8,multiply(X_9,multiply(inverse(X_8),inverse(multiply(X_8,X_9)))))),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_8))]]) ).
cnf(refute_0_1126,plain,
multiply(X_9,multiply(X_8,X_9)) = multiply(inverse(X_8),inverse(multiply(X_8,X_9))),
inference(subst,[],[refute_0_597:[bind(X_28,$fot(X_9)),bind(X_9,$fot(X_8))]]) ).
cnf(refute_0_1127,plain,
( multiply(X_9,multiply(X_8,X_9)) != multiply(inverse(X_8),inverse(multiply(X_8,X_9)))
| multiply(inverse(X_8),inverse(multiply(X_8,X_9))) = multiply(X_9,multiply(X_8,X_9)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(X_9,multiply(X_8,X_9)))),bind(Y0,$fot(multiply(inverse(X_8),inverse(multiply(X_8,X_9)))))]]) ).
cnf(refute_0_1128,plain,
multiply(inverse(X_8),inverse(multiply(X_8,X_9))) = multiply(X_9,multiply(X_8,X_9)),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(X_8,X_9)),multiply(inverse(X_8),inverse(multiply(X_8,X_9)))) )],[refute_0_1126,refute_0_1127]) ).
cnf(refute_0_1129,plain,
( multiply(inverse(X_8),inverse(multiply(X_8,X_9))) != multiply(X_9,multiply(X_8,X_9))
| commutator(X_8,multiply(X_8,X_9)) != multiply(X_8,multiply(X_8,multiply(X_9,multiply(inverse(X_8),inverse(multiply(X_8,X_9))))))
| commutator(X_8,multiply(X_8,X_9)) = multiply(X_8,multiply(X_8,multiply(X_9,multiply(X_9,multiply(X_8,X_9))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_8,multiply(X_8,X_9)),multiply(X_8,multiply(X_8,multiply(X_9,multiply(inverse(X_8),inverse(multiply(X_8,X_9))))))) ),[1,1,1,1],$fot(multiply(X_9,multiply(X_8,X_9)))]]) ).
cnf(refute_0_1130,plain,
( commutator(X_8,multiply(X_8,X_9)) != multiply(X_8,multiply(X_8,multiply(X_9,multiply(inverse(X_8),inverse(multiply(X_8,X_9))))))
| commutator(X_8,multiply(X_8,X_9)) = multiply(X_8,multiply(X_8,multiply(X_9,multiply(X_9,multiply(X_8,X_9))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_8),inverse(multiply(X_8,X_9))),multiply(X_9,multiply(X_8,X_9))) )],[refute_0_1128,refute_0_1129]) ).
cnf(refute_0_1131,plain,
commutator(X_8,multiply(X_8,X_9)) = multiply(X_8,multiply(X_8,multiply(X_9,multiply(X_9,multiply(X_8,X_9))))),
inference(resolve,[$cnf( $equal(commutator(X_8,multiply(X_8,X_9)),multiply(X_8,multiply(X_8,multiply(X_9,multiply(inverse(X_8),inverse(multiply(X_8,X_9))))))) )],[refute_0_1125,refute_0_1130]) ).
cnf(refute_0_1132,plain,
commutator(inverse(X_9),inverse(X_29)) = multiply(inverse(X_9),multiply(X_9,commutator(inverse(X_9),inverse(X_29)))),
inference(subst,[],[refute_0_14:[bind(X_10,$fot(commutator(inverse(X_9),inverse(X_29))))]]) ).
cnf(refute_0_1133,plain,
multiply(inverse(X_10),multiply(X_26,inverse(inverse(X_10)))) = multiply(X_26,commutator(inverse(X_26),inverse(X_10))),
inference(subst,[],[refute_0_310:[bind(Y,$fot(inverse(X_10))),bind(X_24,$fot(X_26))]]) ).
cnf(refute_0_1134,plain,
( multiply(inverse(X_10),multiply(X_26,inverse(inverse(X_10)))) != multiply(X_26,commutator(inverse(X_26),inverse(X_10)))
| inverse(inverse(X_10)) != X_10
| multiply(inverse(X_10),multiply(X_26,X_10)) = multiply(X_26,commutator(inverse(X_26),inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_10),multiply(X_26,inverse(inverse(X_10)))),multiply(X_26,commutator(inverse(X_26),inverse(X_10)))) ),[0,1,1],$fot(X_10)]]) ).
cnf(refute_0_1135,plain,
( multiply(inverse(X_10),multiply(X_26,inverse(inverse(X_10)))) != multiply(X_26,commutator(inverse(X_26),inverse(X_10)))
| multiply(inverse(X_10),multiply(X_26,X_10)) = multiply(X_26,commutator(inverse(X_26),inverse(X_10))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_63,refute_0_1134]) ).
cnf(refute_0_1136,plain,
multiply(inverse(X_10),multiply(X_26,X_10)) = multiply(X_26,commutator(inverse(X_26),inverse(X_10))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),multiply(X_26,inverse(inverse(X_10)))),multiply(X_26,commutator(inverse(X_26),inverse(X_10)))) )],[refute_0_1133,refute_0_1135]) ).
cnf(refute_0_1137,plain,
multiply(inverse(X_29),multiply(X_9,X_29)) = multiply(X_9,commutator(inverse(X_9),inverse(X_29))),
inference(subst,[],[refute_0_1136:[bind(X_10,$fot(X_29)),bind(X_26,$fot(X_9))]]) ).
cnf(refute_0_1138,plain,
( multiply(inverse(X_29),multiply(X_9,X_29)) != multiply(X_9,commutator(inverse(X_9),inverse(X_29)))
| multiply(X_9,commutator(inverse(X_9),inverse(X_29))) = multiply(inverse(X_29),multiply(X_9,X_29)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(inverse(X_29),multiply(X_9,X_29)))),bind(Y0,$fot(multiply(X_9,commutator(inverse(X_9),inverse(X_29)))))]]) ).
cnf(refute_0_1139,plain,
multiply(X_9,commutator(inverse(X_9),inverse(X_29))) = multiply(inverse(X_29),multiply(X_9,X_29)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_29),multiply(X_9,X_29)),multiply(X_9,commutator(inverse(X_9),inverse(X_29)))) )],[refute_0_1137,refute_0_1138]) ).
cnf(refute_0_1140,plain,
( multiply(X_9,commutator(inverse(X_9),inverse(X_29))) != multiply(inverse(X_29),multiply(X_9,X_29))
| commutator(inverse(X_9),inverse(X_29)) != multiply(inverse(X_9),multiply(X_9,commutator(inverse(X_9),inverse(X_29))))
| commutator(inverse(X_9),inverse(X_29)) = multiply(inverse(X_9),multiply(inverse(X_29),multiply(X_9,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_9),inverse(X_29)),multiply(inverse(X_9),multiply(X_9,commutator(inverse(X_9),inverse(X_29))))) ),[1,1],$fot(multiply(inverse(X_29),multiply(X_9,X_29)))]]) ).
cnf(refute_0_1141,plain,
( commutator(inverse(X_9),inverse(X_29)) != multiply(inverse(X_9),multiply(X_9,commutator(inverse(X_9),inverse(X_29))))
| commutator(inverse(X_9),inverse(X_29)) = multiply(inverse(X_9),multiply(inverse(X_29),multiply(X_9,X_29))) ),
inference(resolve,[$cnf( $equal(multiply(X_9,commutator(inverse(X_9),inverse(X_29))),multiply(inverse(X_29),multiply(X_9,X_29))) )],[refute_0_1139,refute_0_1140]) ).
cnf(refute_0_1142,plain,
commutator(inverse(X_9),inverse(X_29)) = multiply(inverse(X_9),multiply(inverse(X_29),multiply(X_9,X_29))),
inference(resolve,[$cnf( $equal(commutator(inverse(X_9),inverse(X_29)),multiply(inverse(X_9),multiply(X_9,commutator(inverse(X_9),inverse(X_29))))) )],[refute_0_1132,refute_0_1141]) ).
cnf(refute_0_1143,plain,
( commutator(inverse(X_9),inverse(X_29)) != multiply(inverse(X_9),multiply(inverse(X_29),multiply(X_9,X_29)))
| multiply(inverse(X_9),multiply(inverse(X_29),multiply(X_9,X_29))) = commutator(inverse(X_9),inverse(X_29)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(commutator(inverse(X_9),inverse(X_29)))),bind(Y0,$fot(multiply(inverse(X_9),multiply(inverse(X_29),multiply(X_9,X_29)))))]]) ).
cnf(refute_0_1144,plain,
multiply(inverse(X_9),multiply(inverse(X_29),multiply(X_9,X_29))) = commutator(inverse(X_9),inverse(X_29)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_9),inverse(X_29)),multiply(inverse(X_9),multiply(inverse(X_29),multiply(X_9,X_29)))) )],[refute_0_1142,refute_0_1143]) ).
cnf(refute_0_1145,plain,
multiply(inverse(X_8),multiply(inverse(X_9),multiply(X_8,X_9))) = commutator(inverse(X_8),inverse(X_9)),
inference(subst,[],[refute_0_1144:[bind(X_29,$fot(X_9)),bind(X_9,$fot(X_8))]]) ).
cnf(refute_0_1146,plain,
multiply(X_9,multiply(X_9,multiply(X_8,X_9))) = multiply(inverse(X_9),multiply(X_8,X_9)),
inference(subst,[],[refute_0_377:[bind(Y,$fot(X_9)),bind(Z,$fot(multiply(X_8,X_9)))]]) ).
cnf(refute_0_1147,plain,
multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9)))) = multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9)))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9)))))]]) ).
cnf(refute_0_1148,plain,
( multiply(X_9,multiply(X_9,multiply(X_8,X_9))) != multiply(inverse(X_9),multiply(X_8,X_9))
| multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9)))) != multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9))))
| multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9)))) = multiply(inverse(X_8),multiply(inverse(X_9),multiply(X_8,X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9)))),multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9))))) ),[1,1],$fot(multiply(inverse(X_9),multiply(X_8,X_9)))]]) ).
cnf(refute_0_1149,plain,
( multiply(X_9,multiply(X_9,multiply(X_8,X_9))) != multiply(inverse(X_9),multiply(X_8,X_9))
| multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9)))) = multiply(inverse(X_8),multiply(inverse(X_9),multiply(X_8,X_9))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9)))),multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9))))) )],[refute_0_1147,refute_0_1148]) ).
cnf(refute_0_1150,plain,
multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9)))) = multiply(inverse(X_8),multiply(inverse(X_9),multiply(X_8,X_9))),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(X_9,multiply(X_8,X_9))),multiply(inverse(X_9),multiply(X_8,X_9))) )],[refute_0_1146,refute_0_1149]) ).
cnf(refute_0_1151,plain,
( multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9)))) != multiply(inverse(X_8),multiply(inverse(X_9),multiply(X_8,X_9)))
| multiply(inverse(X_8),multiply(inverse(X_9),multiply(X_8,X_9))) != commutator(inverse(X_8),inverse(X_9))
| multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9)))) = commutator(inverse(X_8),inverse(X_9)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9)))))),bind(Y0,$fot(multiply(inverse(X_8),multiply(inverse(X_9),multiply(X_8,X_9))))),bind(Z0,$fot(commutator(inverse(X_8),inverse(X_9))))]]) ).
cnf(refute_0_1152,plain,
( multiply(inverse(X_8),multiply(inverse(X_9),multiply(X_8,X_9))) != commutator(inverse(X_8),inverse(X_9))
| multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9)))) = commutator(inverse(X_8),inverse(X_9)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9)))),multiply(inverse(X_8),multiply(inverse(X_9),multiply(X_8,X_9)))) )],[refute_0_1150,refute_0_1151]) ).
cnf(refute_0_1153,plain,
multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9)))) = commutator(inverse(X_8),inverse(X_9)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_8),multiply(inverse(X_9),multiply(X_8,X_9))),commutator(inverse(X_8),inverse(X_9))) )],[refute_0_1145,refute_0_1152]) ).
cnf(refute_0_1154,plain,
multiply(X_8,multiply(X_8,multiply(X_9,multiply(X_9,multiply(X_8,X_9))))) = multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9)))),
inference(subst,[],[refute_0_377:[bind(Y,$fot(X_8)),bind(Z,$fot(multiply(X_9,multiply(X_9,multiply(X_8,X_9)))))]]) ).
cnf(refute_0_1155,plain,
( multiply(X_8,multiply(X_8,multiply(X_9,multiply(X_9,multiply(X_8,X_9))))) != multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9))))
| multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9)))) != commutator(inverse(X_8),inverse(X_9))
| multiply(X_8,multiply(X_8,multiply(X_9,multiply(X_9,multiply(X_8,X_9))))) = commutator(inverse(X_8),inverse(X_9)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(X_8,multiply(X_8,multiply(X_9,multiply(X_9,multiply(X_8,X_9))))))),bind(Y0,$fot(multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9)))))),bind(Z0,$fot(commutator(inverse(X_8),inverse(X_9))))]]) ).
cnf(refute_0_1156,plain,
( multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9)))) != commutator(inverse(X_8),inverse(X_9))
| multiply(X_8,multiply(X_8,multiply(X_9,multiply(X_9,multiply(X_8,X_9))))) = commutator(inverse(X_8),inverse(X_9)) ),
inference(resolve,[$cnf( $equal(multiply(X_8,multiply(X_8,multiply(X_9,multiply(X_9,multiply(X_8,X_9))))),multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9))))) )],[refute_0_1154,refute_0_1155]) ).
cnf(refute_0_1157,plain,
multiply(X_8,multiply(X_8,multiply(X_9,multiply(X_9,multiply(X_8,X_9))))) = commutator(inverse(X_8),inverse(X_9)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_8),multiply(X_9,multiply(X_9,multiply(X_8,X_9)))),commutator(inverse(X_8),inverse(X_9))) )],[refute_0_1153,refute_0_1156]) ).
cnf(refute_0_1158,plain,
( multiply(X_8,multiply(X_8,multiply(X_9,multiply(X_9,multiply(X_8,X_9))))) != commutator(inverse(X_8),inverse(X_9))
| commutator(X_8,multiply(X_8,X_9)) != multiply(X_8,multiply(X_8,multiply(X_9,multiply(X_9,multiply(X_8,X_9)))))
| commutator(X_8,multiply(X_8,X_9)) = commutator(inverse(X_8),inverse(X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_8,multiply(X_8,X_9)),multiply(X_8,multiply(X_8,multiply(X_9,multiply(X_9,multiply(X_8,X_9)))))) ),[1],$fot(commutator(inverse(X_8),inverse(X_9)))]]) ).
cnf(refute_0_1159,plain,
( commutator(X_8,multiply(X_8,X_9)) != multiply(X_8,multiply(X_8,multiply(X_9,multiply(X_9,multiply(X_8,X_9)))))
| commutator(X_8,multiply(X_8,X_9)) = commutator(inverse(X_8),inverse(X_9)) ),
inference(resolve,[$cnf( $equal(multiply(X_8,multiply(X_8,multiply(X_9,multiply(X_9,multiply(X_8,X_9))))),commutator(inverse(X_8),inverse(X_9))) )],[refute_0_1157,refute_0_1158]) ).
cnf(refute_0_1160,plain,
commutator(X_8,multiply(X_8,X_9)) = commutator(inverse(X_8),inverse(X_9)),
inference(resolve,[$cnf( $equal(commutator(X_8,multiply(X_8,X_9)),multiply(X_8,multiply(X_8,multiply(X_9,multiply(X_9,multiply(X_8,X_9)))))) )],[refute_0_1131,refute_0_1159]) ).
cnf(refute_0_1161,plain,
commutator(inverse(X_58),multiply(inverse(X_58),X)) = commutator(inverse(inverse(X_58)),inverse(X)),
inference(subst,[],[refute_0_1160:[bind(X_8,$fot(inverse(X_58))),bind(X_9,$fot(X))]]) ).
cnf(refute_0_1162,plain,
( commutator(inverse(X_58),multiply(inverse(X_58),X)) != commutator(inverse(inverse(X_58)),inverse(X))
| commutator(inverse(inverse(X_58)),inverse(X)) != commutator(X_58,inverse(X))
| commutator(inverse(X_58),multiply(inverse(X_58),X)) = commutator(X_58,inverse(X)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(commutator(inverse(X_58),multiply(inverse(X_58),X)))),bind(Y0,$fot(commutator(inverse(inverse(X_58)),inverse(X)))),bind(Z0,$fot(commutator(X_58,inverse(X))))]]) ).
cnf(refute_0_1163,plain,
( commutator(inverse(inverse(X_58)),inverse(X)) != commutator(X_58,inverse(X))
| commutator(inverse(X_58),multiply(inverse(X_58),X)) = commutator(X_58,inverse(X)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_58),multiply(inverse(X_58),X)),commutator(inverse(inverse(X_58)),inverse(X))) )],[refute_0_1161,refute_0_1162]) ).
cnf(refute_0_1164,plain,
commutator(inverse(X_58),multiply(inverse(X_58),X)) = commutator(X_58,inverse(X)),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_58)),inverse(X)),commutator(X_58,inverse(X))) )],[refute_0_1124,refute_0_1163]) ).
cnf(refute_0_1165,plain,
multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X))) = multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X))),
introduced(tautology,[refl,[$fot(multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X))))]]) ).
cnf(refute_0_1166,plain,
( multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X))) != multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X)))
| commutator(inverse(X_58),multiply(inverse(X_58),X)) != commutator(X_58,inverse(X))
| multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X))) = multiply(X_58,commutator(X_58,inverse(X))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X))),multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X)))) ),[1,1],$fot(commutator(X_58,inverse(X)))]]) ).
cnf(refute_0_1167,plain,
( commutator(inverse(X_58),multiply(inverse(X_58),X)) != commutator(X_58,inverse(X))
| multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X))) = multiply(X_58,commutator(X_58,inverse(X))) ),
inference(resolve,[$cnf( $equal(multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X))),multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X)))) )],[refute_0_1165,refute_0_1166]) ).
cnf(refute_0_1168,plain,
multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X))) = multiply(X_58,commutator(X_58,inverse(X))),
inference(resolve,[$cnf( $equal(commutator(inverse(X_58),multiply(inverse(X_58),X)),commutator(X_58,inverse(X))) )],[refute_0_1164,refute_0_1167]) ).
cnf(refute_0_1169,plain,
multiply(X,multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X)))) = multiply(X,multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X)))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X)))))]]) ).
cnf(refute_0_1170,plain,
( multiply(X,multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X)))) != multiply(X,multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X))))
| multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X))) != multiply(X_58,commutator(X_58,inverse(X)))
| multiply(X,multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X)))) = multiply(X,multiply(X_58,commutator(X_58,inverse(X)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X)))),multiply(X,multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X))))) ),[1,1],$fot(multiply(X_58,commutator(X_58,inverse(X))))]]) ).
cnf(refute_0_1171,plain,
( multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X))) != multiply(X_58,commutator(X_58,inverse(X)))
| multiply(X,multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X)))) = multiply(X,multiply(X_58,commutator(X_58,inverse(X)))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X)))),multiply(X,multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X))))) )],[refute_0_1169,refute_0_1170]) ).
cnf(refute_0_1172,plain,
multiply(X,multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X)))) = multiply(X,multiply(X_58,commutator(X_58,inverse(X)))),
inference(resolve,[$cnf( $equal(multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X))),multiply(X_58,commutator(X_58,inverse(X)))) )],[refute_0_1168,refute_0_1171]) ).
cnf(refute_0_1173,plain,
multiply(multiply(X,Y),multiply(X_26,inverse(Y))) = multiply(X,multiply(Y,multiply(X_26,inverse(Y)))),
inference(subst,[],[associativity:[bind(Z,$fot(multiply(X_26,inverse(Y))))]]) ).
cnf(refute_0_1174,plain,
multiply(Y,multiply(X_26,inverse(Y))) = multiply(X_26,commutator(inverse(X_26),Y)),
inference(subst,[],[refute_0_310:[bind(X_24,$fot(X_26))]]) ).
cnf(refute_0_1175,plain,
( multiply(Y,multiply(X_26,inverse(Y))) != multiply(X_26,commutator(inverse(X_26),Y))
| multiply(multiply(X,Y),multiply(X_26,inverse(Y))) != multiply(X,multiply(Y,multiply(X_26,inverse(Y))))
| multiply(multiply(X,Y),multiply(X_26,inverse(Y))) = multiply(X,multiply(X_26,commutator(inverse(X_26),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,Y),multiply(X_26,inverse(Y))),multiply(X,multiply(Y,multiply(X_26,inverse(Y))))) ),[1,1],$fot(multiply(X_26,commutator(inverse(X_26),Y)))]]) ).
cnf(refute_0_1176,plain,
( multiply(multiply(X,Y),multiply(X_26,inverse(Y))) != multiply(X,multiply(Y,multiply(X_26,inverse(Y))))
| multiply(multiply(X,Y),multiply(X_26,inverse(Y))) = multiply(X,multiply(X_26,commutator(inverse(X_26),Y))) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_26,inverse(Y))),multiply(X_26,commutator(inverse(X_26),Y))) )],[refute_0_1174,refute_0_1175]) ).
cnf(refute_0_1177,plain,
multiply(multiply(X,Y),multiply(X_26,inverse(Y))) = multiply(X,multiply(X_26,commutator(inverse(X_26),Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),multiply(X_26,inverse(Y))),multiply(X,multiply(Y,multiply(X_26,inverse(Y))))) )],[refute_0_1173,refute_0_1176]) ).
cnf(refute_0_1178,plain,
( multiply(multiply(X,Y),multiply(X_26,inverse(Y))) != multiply(X,multiply(Y,multiply(X_26,inverse(Y))))
| multiply(multiply(X,Y),multiply(X_26,inverse(Y))) != multiply(X,multiply(X_26,commutator(inverse(X_26),Y)))
| multiply(X,multiply(Y,multiply(X_26,inverse(Y)))) = multiply(X,multiply(X_26,commutator(inverse(X_26),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,Y),multiply(X_26,inverse(Y))),multiply(X,multiply(X_26,commutator(inverse(X_26),Y)))) ),[0],$fot(multiply(X,multiply(Y,multiply(X_26,inverse(Y)))))]]) ).
cnf(refute_0_1179,plain,
( multiply(multiply(X,Y),multiply(X_26,inverse(Y))) != multiply(X,multiply(X_26,commutator(inverse(X_26),Y)))
| multiply(X,multiply(Y,multiply(X_26,inverse(Y)))) = multiply(X,multiply(X_26,commutator(inverse(X_26),Y))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),multiply(X_26,inverse(Y))),multiply(X,multiply(Y,multiply(X_26,inverse(Y))))) )],[refute_0_1173,refute_0_1178]) ).
cnf(refute_0_1180,plain,
multiply(X,multiply(Y,multiply(X_26,inverse(Y)))) = multiply(X,multiply(X_26,commutator(inverse(X_26),Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),multiply(X_26,inverse(Y))),multiply(X,multiply(X_26,commutator(inverse(X_26),Y)))) )],[refute_0_1177,refute_0_1179]) ).
cnf(refute_0_1181,plain,
multiply(X,multiply(multiply(inverse(X_58),X),multiply(X_58,inverse(multiply(inverse(X_58),X))))) = multiply(X,multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X)))),
inference(subst,[],[refute_0_1180:[bind(Y,$fot(multiply(inverse(X_58),X))),bind(X_26,$fot(X_58))]]) ).
cnf(refute_0_1182,plain,
( multiply(X,multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X)))) != multiply(X,multiply(X_58,commutator(X_58,inverse(X))))
| multiply(X,multiply(multiply(inverse(X_58),X),multiply(X_58,inverse(multiply(inverse(X_58),X))))) != multiply(X,multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X))))
| multiply(X,multiply(multiply(inverse(X_58),X),multiply(X_58,inverse(multiply(inverse(X_58),X))))) = multiply(X,multiply(X_58,commutator(X_58,inverse(X)))) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(X,multiply(multiply(inverse(X_58),X),multiply(X_58,inverse(multiply(inverse(X_58),X))))))),bind(Y0,$fot(multiply(X,multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X)))))),bind(Z0,$fot(multiply(X,multiply(X_58,commutator(X_58,inverse(X))))))]]) ).
cnf(refute_0_1183,plain,
( multiply(X,multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X)))) != multiply(X,multiply(X_58,commutator(X_58,inverse(X))))
| multiply(X,multiply(multiply(inverse(X_58),X),multiply(X_58,inverse(multiply(inverse(X_58),X))))) = multiply(X,multiply(X_58,commutator(X_58,inverse(X)))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(inverse(X_58),X),multiply(X_58,inverse(multiply(inverse(X_58),X))))),multiply(X,multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X))))) )],[refute_0_1181,refute_0_1182]) ).
cnf(refute_0_1184,plain,
multiply(X,multiply(multiply(inverse(X_58),X),multiply(X_58,inverse(multiply(inverse(X_58),X))))) = multiply(X,multiply(X_58,commutator(X_58,inverse(X)))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_58,commutator(inverse(X_58),multiply(inverse(X_58),X)))),multiply(X,multiply(X_58,commutator(X_58,inverse(X))))) )],[refute_0_1172,refute_0_1183]) ).
cnf(refute_0_1185,plain,
( multiply(X,multiply(multiply(inverse(X_58),X),multiply(X_58,inverse(multiply(inverse(X_58),X))))) != multiply(X,multiply(X_58,commutator(X_58,inverse(X))))
| inverse(multiply(X,multiply(inverse(X_58),X))) != multiply(X,multiply(multiply(inverse(X_58),X),multiply(X_58,inverse(multiply(inverse(X_58),X)))))
| inverse(multiply(X,multiply(inverse(X_58),X))) = multiply(X,multiply(X_58,commutator(X_58,inverse(X)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X,multiply(inverse(X_58),X))),multiply(X,multiply(multiply(inverse(X_58),X),multiply(X_58,inverse(multiply(inverse(X_58),X)))))) ),[1],$fot(multiply(X,multiply(X_58,commutator(X_58,inverse(X)))))]]) ).
cnf(refute_0_1186,plain,
( inverse(multiply(X,multiply(inverse(X_58),X))) != multiply(X,multiply(multiply(inverse(X_58),X),multiply(X_58,inverse(multiply(inverse(X_58),X)))))
| inverse(multiply(X,multiply(inverse(X_58),X))) = multiply(X,multiply(X_58,commutator(X_58,inverse(X)))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(inverse(X_58),X),multiply(X_58,inverse(multiply(inverse(X_58),X))))),multiply(X,multiply(X_58,commutator(X_58,inverse(X))))) )],[refute_0_1184,refute_0_1185]) ).
cnf(refute_0_1187,plain,
inverse(multiply(X,multiply(inverse(X_58),X))) = multiply(X,multiply(X_58,commutator(X_58,inverse(X)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X,multiply(inverse(X_58),X))),multiply(X,multiply(multiply(inverse(X_58),X),multiply(X_58,inverse(multiply(inverse(X_58),X)))))) )],[refute_0_1120,refute_0_1186]) ).
cnf(refute_0_1188,plain,
commutator(X_58,inverse(X)) = commutator(X,X_58),
inference(subst,[],[refute_0_669:[bind(X_58,$fot(X)),bind(X_9,$fot(X_58))]]) ).
cnf(refute_0_1189,plain,
multiply(X_58,commutator(X_58,inverse(X))) = multiply(X_58,commutator(X_58,inverse(X))),
introduced(tautology,[refl,[$fot(multiply(X_58,commutator(X_58,inverse(X))))]]) ).
cnf(refute_0_1190,plain,
( multiply(X_58,commutator(X_58,inverse(X))) != multiply(X_58,commutator(X_58,inverse(X)))
| commutator(X_58,inverse(X)) != commutator(X,X_58)
| multiply(X_58,commutator(X_58,inverse(X))) = multiply(X_58,commutator(X,X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,commutator(X_58,inverse(X))),multiply(X_58,commutator(X_58,inverse(X)))) ),[1,1],$fot(commutator(X,X_58))]]) ).
cnf(refute_0_1191,plain,
( commutator(X_58,inverse(X)) != commutator(X,X_58)
| multiply(X_58,commutator(X_58,inverse(X))) = multiply(X_58,commutator(X,X_58)) ),
inference(resolve,[$cnf( $equal(multiply(X_58,commutator(X_58,inverse(X))),multiply(X_58,commutator(X_58,inverse(X)))) )],[refute_0_1189,refute_0_1190]) ).
cnf(refute_0_1192,plain,
multiply(X_58,commutator(X_58,inverse(X))) = multiply(X_58,commutator(X,X_58)),
inference(resolve,[$cnf( $equal(commutator(X_58,inverse(X)),commutator(X,X_58)) )],[refute_0_1188,refute_0_1191]) ).
cnf(refute_0_1193,plain,
multiply(X,multiply(X_58,commutator(X_58,inverse(X)))) = multiply(X,multiply(X_58,commutator(X_58,inverse(X)))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(X_58,commutator(X_58,inverse(X)))))]]) ).
cnf(refute_0_1194,plain,
( multiply(X,multiply(X_58,commutator(X_58,inverse(X)))) != multiply(X,multiply(X_58,commutator(X_58,inverse(X))))
| multiply(X_58,commutator(X_58,inverse(X))) != multiply(X_58,commutator(X,X_58))
| multiply(X,multiply(X_58,commutator(X_58,inverse(X)))) = multiply(X,multiply(X_58,commutator(X,X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_58,commutator(X_58,inverse(X)))),multiply(X,multiply(X_58,commutator(X_58,inverse(X))))) ),[1,1],$fot(multiply(X_58,commutator(X,X_58)))]]) ).
cnf(refute_0_1195,plain,
( multiply(X_58,commutator(X_58,inverse(X))) != multiply(X_58,commutator(X,X_58))
| multiply(X,multiply(X_58,commutator(X_58,inverse(X)))) = multiply(X,multiply(X_58,commutator(X,X_58))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_58,commutator(X_58,inverse(X)))),multiply(X,multiply(X_58,commutator(X_58,inverse(X))))) )],[refute_0_1193,refute_0_1194]) ).
cnf(refute_0_1196,plain,
multiply(X,multiply(X_58,commutator(X_58,inverse(X)))) = multiply(X,multiply(X_58,commutator(X,X_58))),
inference(resolve,[$cnf( $equal(multiply(X_58,commutator(X_58,inverse(X))),multiply(X_58,commutator(X,X_58))) )],[refute_0_1192,refute_0_1195]) ).
cnf(refute_0_1197,plain,
( multiply(X,multiply(X_58,commutator(X_58,inverse(X)))) != multiply(X,multiply(X_58,commutator(X,X_58)))
| inverse(multiply(X,multiply(inverse(X_58),X))) != multiply(X,multiply(X_58,commutator(X_58,inverse(X))))
| inverse(multiply(X,multiply(inverse(X_58),X))) = multiply(X,multiply(X_58,commutator(X,X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X,multiply(inverse(X_58),X))),multiply(X,multiply(X_58,commutator(X_58,inverse(X))))) ),[1],$fot(multiply(X,multiply(X_58,commutator(X,X_58))))]]) ).
cnf(refute_0_1198,plain,
( inverse(multiply(X,multiply(inverse(X_58),X))) != multiply(X,multiply(X_58,commutator(X_58,inverse(X))))
| inverse(multiply(X,multiply(inverse(X_58),X))) = multiply(X,multiply(X_58,commutator(X,X_58))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_58,commutator(X_58,inverse(X)))),multiply(X,multiply(X_58,commutator(X,X_58)))) )],[refute_0_1196,refute_0_1197]) ).
cnf(refute_0_1199,plain,
inverse(multiply(X,multiply(inverse(X_58),X))) = multiply(X,multiply(X_58,commutator(X,X_58))),
inference(resolve,[$cnf( $equal(inverse(multiply(X,multiply(inverse(X_58),X))),multiply(X,multiply(X_58,commutator(X_58,inverse(X))))) )],[refute_0_1187,refute_0_1198]) ).
cnf(refute_0_1200,plain,
( inverse(multiply(X,multiply(inverse(X_58),X))) != multiply(X,multiply(X_58,commutator(X,X_58)))
| multiply(X,multiply(X_58,commutator(X,X_58))) = inverse(multiply(X,multiply(inverse(X_58),X))) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(inverse(multiply(X,multiply(inverse(X_58),X))))),bind(Y0,$fot(multiply(X,multiply(X_58,commutator(X,X_58)))))]]) ).
cnf(refute_0_1201,plain,
multiply(X,multiply(X_58,commutator(X,X_58))) = inverse(multiply(X,multiply(inverse(X_58),X))),
inference(resolve,[$cnf( $equal(inverse(multiply(X,multiply(inverse(X_58),X))),multiply(X,multiply(X_58,commutator(X,X_58)))) )],[refute_0_1199,refute_0_1200]) ).
cnf(refute_0_1202,plain,
multiply(X_9,multiply(X_85,commutator(X_9,X_85))) = inverse(multiply(X_9,multiply(inverse(X_85),X_9))),
inference(subst,[],[refute_0_1201:[bind(X,$fot(X_9)),bind(X_58,$fot(X_85))]]) ).
cnf(refute_0_1203,plain,
multiply(multiply(X_9,X_85),commutator(X_9,X_85)) = multiply(X_9,multiply(X_85,commutator(X_9,X_85))),
inference(subst,[],[associativity:[bind(X,$fot(X_9)),bind(Y,$fot(X_85)),bind(Z,$fot(commutator(X_9,X_85)))]]) ).
cnf(refute_0_1204,plain,
( multiply(X_9,multiply(X_85,commutator(X_9,X_85))) != inverse(multiply(X_9,multiply(inverse(X_85),X_9)))
| multiply(multiply(X_9,X_85),commutator(X_9,X_85)) != multiply(X_9,multiply(X_85,commutator(X_9,X_85)))
| multiply(multiply(X_9,X_85),commutator(X_9,X_85)) = inverse(multiply(X_9,multiply(inverse(X_85),X_9))) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(multiply(X_9,X_85),commutator(X_9,X_85)))),bind(Y0,$fot(multiply(X_9,multiply(X_85,commutator(X_9,X_85))))),bind(Z0,$fot(inverse(multiply(X_9,multiply(inverse(X_85),X_9)))))]]) ).
cnf(refute_0_1205,plain,
( multiply(X_9,multiply(X_85,commutator(X_9,X_85))) != inverse(multiply(X_9,multiply(inverse(X_85),X_9)))
| multiply(multiply(X_9,X_85),commutator(X_9,X_85)) = inverse(multiply(X_9,multiply(inverse(X_85),X_9))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_9,X_85),commutator(X_9,X_85)),multiply(X_9,multiply(X_85,commutator(X_9,X_85)))) )],[refute_0_1203,refute_0_1204]) ).
cnf(refute_0_1206,plain,
multiply(multiply(X_9,X_85),commutator(X_9,X_85)) = inverse(multiply(X_9,multiply(inverse(X_85),X_9))),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(X_85,commutator(X_9,X_85))),inverse(multiply(X_9,multiply(inverse(X_85),X_9)))) )],[refute_0_1202,refute_0_1205]) ).
cnf(refute_0_1207,plain,
multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85))) = multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85))),
introduced(tautology,[refl,[$fot(multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85))))]]) ).
cnf(refute_0_1208,plain,
( multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85))) != multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85)))
| multiply(multiply(X_9,X_85),commutator(X_9,X_85)) != inverse(multiply(X_9,multiply(inverse(X_85),X_9)))
| multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85))) = multiply(X_85,inverse(multiply(X_9,multiply(inverse(X_85),X_9)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85))),multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85)))) ),[1,1],$fot(inverse(multiply(X_9,multiply(inverse(X_85),X_9))))]]) ).
cnf(refute_0_1209,plain,
( multiply(multiply(X_9,X_85),commutator(X_9,X_85)) != inverse(multiply(X_9,multiply(inverse(X_85),X_9)))
| multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85))) = multiply(X_85,inverse(multiply(X_9,multiply(inverse(X_85),X_9)))) ),
inference(resolve,[$cnf( $equal(multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85))),multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85)))) )],[refute_0_1207,refute_0_1208]) ).
cnf(refute_0_1210,plain,
multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85))) = multiply(X_85,inverse(multiply(X_9,multiply(inverse(X_85),X_9)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_9,X_85),commutator(X_9,X_85)),inverse(multiply(X_9,multiply(inverse(X_85),X_9)))) )],[refute_0_1206,refute_0_1209]) ).
cnf(refute_0_1211,plain,
( multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85))) != multiply(X_85,inverse(multiply(X_9,multiply(inverse(X_85),X_9))))
| multiply(X_9,inverse(X_85)) != multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85)))
| multiply(X_9,inverse(X_85)) = multiply(X_85,inverse(multiply(X_9,multiply(inverse(X_85),X_9)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_9,inverse(X_85)),multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85)))) ),[1],$fot(multiply(X_85,inverse(multiply(X_9,multiply(inverse(X_85),X_9)))))]]) ).
cnf(refute_0_1212,plain,
( multiply(X_9,inverse(X_85)) != multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85)))
| multiply(X_9,inverse(X_85)) = multiply(X_85,inverse(multiply(X_9,multiply(inverse(X_85),X_9)))) ),
inference(resolve,[$cnf( $equal(multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85))),multiply(X_85,inverse(multiply(X_9,multiply(inverse(X_85),X_9))))) )],[refute_0_1210,refute_0_1211]) ).
cnf(refute_0_1213,plain,
( multiply(multiply(X_9,X_85),X_85) != multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85)))
| multiply(X_9,inverse(X_85)) = multiply(X_85,inverse(multiply(X_9,multiply(inverse(X_85),X_9)))) ),
inference(resolve,[$cnf( $equal(multiply(X_9,inverse(X_85)),multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85)))) )],[refute_0_1115,refute_0_1212]) ).
cnf(refute_0_1214,plain,
multiply(X_9,inverse(X_85)) = multiply(X_85,inverse(multiply(X_9,multiply(inverse(X_85),X_9)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_9,X_85),X_85),multiply(X_85,multiply(multiply(X_9,X_85),commutator(X_9,X_85)))) )],[refute_0_1104,refute_0_1213]) ).
cnf(refute_0_1215,plain,
multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)) = multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),multiply(inverse(X_90),multiply(Y,multiply(inverse(X_90),Y)))))),
inference(subst,[],[refute_0_1214:[bind(X_85,$fot(X_90)),bind(X_9,$fot(multiply(Y,multiply(inverse(X_90),Y))))]]) ).
cnf(refute_0_1216,plain,
inverse(multiply(inverse(X_90),Y)) = multiply(inverse(X_90),multiply(Y,multiply(inverse(X_90),Y))),
inference(subst,[],[refute_0_365:[bind(X,$fot(inverse(X_90)))]]) ).
cnf(refute_0_1217,plain,
( inverse(multiply(inverse(X_90),Y)) != multiply(inverse(X_90),multiply(Y,multiply(inverse(X_90),Y)))
| multiply(inverse(X_90),multiply(Y,multiply(inverse(X_90),Y))) = inverse(multiply(inverse(X_90),Y)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(inverse(multiply(inverse(X_90),Y)))),bind(Y0,$fot(multiply(inverse(X_90),multiply(Y,multiply(inverse(X_90),Y)))))]]) ).
cnf(refute_0_1218,plain,
multiply(inverse(X_90),multiply(Y,multiply(inverse(X_90),Y))) = inverse(multiply(inverse(X_90),Y)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_90),Y)),multiply(inverse(X_90),multiply(Y,multiply(inverse(X_90),Y)))) )],[refute_0_1216,refute_0_1217]) ).
cnf(refute_0_1219,plain,
( multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)) != multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),multiply(inverse(X_90),multiply(Y,multiply(inverse(X_90),Y))))))
| multiply(inverse(X_90),multiply(Y,multiply(inverse(X_90),Y))) != inverse(multiply(inverse(X_90),Y))
| multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)) = multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)),multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),multiply(inverse(X_90),multiply(Y,multiply(inverse(X_90),Y))))))) ),[1,1,0,1],$fot(inverse(multiply(inverse(X_90),Y)))]]) ).
cnf(refute_0_1220,plain,
( multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)) != multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),multiply(inverse(X_90),multiply(Y,multiply(inverse(X_90),Y))))))
| multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)) = multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_90),multiply(Y,multiply(inverse(X_90),Y))),inverse(multiply(inverse(X_90),Y))) )],[refute_0_1218,refute_0_1219]) ).
cnf(refute_0_1221,plain,
multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)) = multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))))),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)),multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),multiply(inverse(X_90),multiply(Y,multiply(inverse(X_90),Y))))))) )],[refute_0_1215,refute_0_1220]) ).
cnf(refute_0_1222,plain,
( inverse(multiply(X,Y)) != multiply(X,multiply(Y,multiply(X,Y)))
| multiply(X,multiply(Y,multiply(X,Y))) = inverse(multiply(X,Y)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(inverse(multiply(X,Y)))),bind(Y0,$fot(multiply(X,multiply(Y,multiply(X,Y)))))]]) ).
cnf(refute_0_1223,plain,
multiply(X,multiply(Y,multiply(X,Y))) = inverse(multiply(X,Y)),
inference(resolve,[$cnf( $equal(inverse(multiply(X,Y)),multiply(X,multiply(Y,multiply(X,Y)))) )],[refute_0_365,refute_0_1222]) ).
cnf(refute_0_1224,plain,
multiply(Y,multiply(inverse(X_90),multiply(Y,inverse(X_90)))) = inverse(multiply(Y,inverse(X_90))),
inference(subst,[],[refute_0_1223:[bind(X,$fot(Y)),bind(Y,$fot(inverse(X_90)))]]) ).
cnf(refute_0_1225,plain,
multiply(multiply(inverse(X_90),Y),inverse(X_90)) = multiply(inverse(X_90),multiply(Y,inverse(X_90))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_90))),bind(Z,$fot(inverse(X_90)))]]) ).
cnf(refute_0_1226,plain,
multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90))) = multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90))),
introduced(tautology,[refl,[$fot(multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90))))]]) ).
cnf(refute_0_1227,plain,
( multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90))) != multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90)))
| multiply(multiply(inverse(X_90),Y),inverse(X_90)) != multiply(inverse(X_90),multiply(Y,inverse(X_90)))
| multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90))) = multiply(Y,multiply(inverse(X_90),multiply(Y,inverse(X_90)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90))),multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90)))) ),[1,1],$fot(multiply(inverse(X_90),multiply(Y,inverse(X_90))))]]) ).
cnf(refute_0_1228,plain,
( multiply(multiply(inverse(X_90),Y),inverse(X_90)) != multiply(inverse(X_90),multiply(Y,inverse(X_90)))
| multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90))) = multiply(Y,multiply(inverse(X_90),multiply(Y,inverse(X_90)))) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90))),multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90)))) )],[refute_0_1226,refute_0_1227]) ).
cnf(refute_0_1229,plain,
multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90))) = multiply(Y,multiply(inverse(X_90),multiply(Y,inverse(X_90)))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_90),Y),inverse(X_90)),multiply(inverse(X_90),multiply(Y,inverse(X_90)))) )],[refute_0_1225,refute_0_1228]) ).
cnf(refute_0_1230,plain,
( multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90))) != multiply(Y,multiply(inverse(X_90),multiply(Y,inverse(X_90))))
| multiply(Y,multiply(inverse(X_90),multiply(Y,inverse(X_90)))) != inverse(multiply(Y,inverse(X_90)))
| multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90))) = inverse(multiply(Y,inverse(X_90))) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90))))),bind(Y0,$fot(multiply(Y,multiply(inverse(X_90),multiply(Y,inverse(X_90)))))),bind(Z0,$fot(inverse(multiply(Y,inverse(X_90)))))]]) ).
cnf(refute_0_1231,plain,
( multiply(Y,multiply(inverse(X_90),multiply(Y,inverse(X_90)))) != inverse(multiply(Y,inverse(X_90)))
| multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90))) = inverse(multiply(Y,inverse(X_90))) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90))),multiply(Y,multiply(inverse(X_90),multiply(Y,inverse(X_90))))) )],[refute_0_1229,refute_0_1230]) ).
cnf(refute_0_1232,plain,
multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90))) = inverse(multiply(Y,inverse(X_90))),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(inverse(X_90),multiply(Y,inverse(X_90)))),inverse(multiply(Y,inverse(X_90)))) )],[refute_0_1224,refute_0_1231]) ).
cnf(refute_0_1233,plain,
multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)) = multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90))),
inference(subst,[],[associativity:[bind(X,$fot(Y)),bind(Y,$fot(multiply(inverse(X_90),Y))),bind(Z,$fot(inverse(X_90)))]]) ).
cnf(refute_0_1234,plain,
( multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90))) != inverse(multiply(Y,inverse(X_90)))
| multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)) != multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90)))
| multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)) = inverse(multiply(Y,inverse(X_90))) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)))),bind(Y0,$fot(multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90))))),bind(Z0,$fot(inverse(multiply(Y,inverse(X_90)))))]]) ).
cnf(refute_0_1235,plain,
( multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90))) != inverse(multiply(Y,inverse(X_90)))
| multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)) = inverse(multiply(Y,inverse(X_90))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)),multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90)))) )],[refute_0_1233,refute_0_1234]) ).
cnf(refute_0_1236,plain,
multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)) = inverse(multiply(Y,inverse(X_90))),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(X_90))),inverse(multiply(Y,inverse(X_90)))) )],[refute_0_1232,refute_0_1235]) ).
cnf(refute_0_1237,plain,
( multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)) != multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))))
| multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)) != inverse(multiply(Y,inverse(X_90)))
| inverse(multiply(Y,inverse(X_90))) = multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)),multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))))) ),[0],$fot(inverse(multiply(Y,inverse(X_90))))]]) ).
cnf(refute_0_1238,plain,
( multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)) != multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))))
| inverse(multiply(Y,inverse(X_90))) = multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)),inverse(multiply(Y,inverse(X_90)))) )],[refute_0_1236,refute_0_1237]) ).
cnf(refute_0_1239,plain,
multiply(Y,identity) = Y,
inference(subst,[],[refute_0_49:[bind(X_13,$fot(Y))]]) ).
cnf(refute_0_1240,plain,
multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y))) = identity,
inference(subst,[],[refute_0_421:[bind(Y,$fot(multiply(inverse(X_90),Y)))]]) ).
cnf(refute_0_1241,plain,
multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y)))) = multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y)))),
introduced(tautology,[refl,[$fot(multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y)))))]]) ).
cnf(refute_0_1242,plain,
( multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y)))) != multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y))))
| multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y))) != identity
| multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y)))) = multiply(Y,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y)))),multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y))))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_1243,plain,
( multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y))) != identity
| multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y)))) = multiply(Y,identity) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y)))),multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y))))) )],[refute_0_1241,refute_0_1242]) ).
cnf(refute_0_1244,plain,
multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y)))) = multiply(Y,identity),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y))),identity) )],[refute_0_1240,refute_0_1243]) ).
cnf(refute_0_1245,plain,
( multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y)))) != multiply(Y,identity)
| multiply(Y,identity) != Y
| multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y)))) = Y ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y)))))),bind(Y0,$fot(multiply(Y,identity))),bind(Z0,$fot(Y))]]) ).
cnf(refute_0_1246,plain,
( multiply(Y,identity) != Y
| multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y)))) = Y ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y)))),multiply(Y,identity)) )],[refute_0_1244,refute_0_1245]) ).
cnf(refute_0_1247,plain,
multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y)))) = Y,
inference(resolve,[$cnf( $equal(multiply(Y,identity),Y) )],[refute_0_1239,refute_0_1246]) ).
cnf(refute_0_1248,plain,
multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))) = multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y)))),
inference(subst,[],[associativity:[bind(X,$fot(Y)),bind(Y,$fot(multiply(inverse(X_90),Y))),bind(Z,$fot(inverse(multiply(inverse(X_90),Y))))]]) ).
cnf(refute_0_1249,plain,
( multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y)))) != Y
| multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))) != multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y))))
| multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))) = Y ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))))),bind(Y0,$fot(multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y)))))),bind(Z0,$fot(Y))]]) ).
cnf(refute_0_1250,plain,
( multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y)))) != Y
| multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))) = Y ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))),multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y))))) )],[refute_0_1248,refute_0_1249]) ).
cnf(refute_0_1251,plain,
multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))) = Y,
inference(resolve,[$cnf( $equal(multiply(Y,multiply(multiply(inverse(X_90),Y),inverse(multiply(inverse(X_90),Y)))),Y) )],[refute_0_1247,refute_0_1250]) ).
cnf(refute_0_1252,plain,
inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))) = inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))))]]) ).
cnf(refute_0_1253,plain,
( multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))) != Y
| inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))) != inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))))
| inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))),inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))))) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_1254,plain,
( multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))) != Y
| inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))) = inverse(Y) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))),inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))))) )],[refute_0_1252,refute_0_1253]) ).
cnf(refute_0_1255,plain,
inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))) = inverse(Y),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))),Y) )],[refute_0_1251,refute_0_1254]) ).
cnf(refute_0_1256,plain,
multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))))) = multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))))),
introduced(tautology,[refl,[$fot(multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))))))]]) ).
cnf(refute_0_1257,plain,
( multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))))) != multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))))
| inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))) != inverse(Y)
| multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))))) = multiply(X_90,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))))),multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))))) ),[1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_1258,plain,
( inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))) != inverse(Y)
| multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))))) = multiply(X_90,inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))))),multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))))) )],[refute_0_1256,refute_0_1257]) ).
cnf(refute_0_1259,plain,
multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))))) = multiply(X_90,inverse(Y)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))),inverse(Y)) )],[refute_0_1255,refute_0_1258]) ).
cnf(refute_0_1260,plain,
( multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))))) != multiply(X_90,inverse(Y))
| inverse(multiply(Y,inverse(X_90))) != multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))))
| inverse(multiply(Y,inverse(X_90))) = multiply(X_90,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(Y,inverse(X_90))),multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))))) ),[1],$fot(multiply(X_90,inverse(Y)))]]) ).
cnf(refute_0_1261,plain,
( inverse(multiply(Y,inverse(X_90))) != multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))))
| inverse(multiply(Y,inverse(X_90))) = multiply(X_90,inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y))))),multiply(X_90,inverse(Y))) )],[refute_0_1259,refute_0_1260]) ).
cnf(refute_0_1262,plain,
( multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)) != multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))))
| inverse(multiply(Y,inverse(X_90))) = multiply(X_90,inverse(Y)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(Y,inverse(X_90))),multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))))) )],[refute_0_1238,refute_0_1261]) ).
cnf(refute_0_1263,plain,
inverse(multiply(Y,inverse(X_90))) = multiply(X_90,inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(X_90)),multiply(X_90,inverse(multiply(multiply(Y,multiply(inverse(X_90),Y)),inverse(multiply(inverse(X_90),Y)))))) )],[refute_0_1221,refute_0_1262]) ).
cnf(refute_0_1264,plain,
inverse(multiply(Y,inverse(multiply(X_92,inverse(X_93))))) = multiply(multiply(X_92,inverse(X_93)),inverse(Y)),
inference(subst,[],[refute_0_1263:[bind(X_90,$fot(multiply(X_92,inverse(X_93))))]]) ).
cnf(refute_0_1265,plain,
inverse(multiply(X_92,inverse(X_93))) = multiply(X_93,inverse(X_92)),
inference(subst,[],[refute_0_1263:[bind(Y,$fot(X_92)),bind(X_90,$fot(X_93))]]) ).
cnf(refute_0_1266,plain,
( inverse(multiply(Y,inverse(multiply(X_92,inverse(X_93))))) != multiply(multiply(X_92,inverse(X_93)),inverse(Y))
| inverse(multiply(X_92,inverse(X_93))) != multiply(X_93,inverse(X_92))
| inverse(multiply(Y,multiply(X_93,inverse(X_92)))) = multiply(multiply(X_92,inverse(X_93)),inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(Y,inverse(multiply(X_92,inverse(X_93))))),multiply(multiply(X_92,inverse(X_93)),inverse(Y))) ),[0,0,1],$fot(multiply(X_93,inverse(X_92)))]]) ).
cnf(refute_0_1267,plain,
( inverse(multiply(Y,inverse(multiply(X_92,inverse(X_93))))) != multiply(multiply(X_92,inverse(X_93)),inverse(Y))
| inverse(multiply(Y,multiply(X_93,inverse(X_92)))) = multiply(multiply(X_92,inverse(X_93)),inverse(Y)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_92,inverse(X_93))),multiply(X_93,inverse(X_92))) )],[refute_0_1265,refute_0_1266]) ).
cnf(refute_0_1268,plain,
inverse(multiply(Y,multiply(X_93,inverse(X_92)))) = multiply(multiply(X_92,inverse(X_93)),inverse(Y)),
inference(resolve,[$cnf( $equal(inverse(multiply(Y,inverse(multiply(X_92,inverse(X_93))))),multiply(multiply(X_92,inverse(X_93)),inverse(Y))) )],[refute_0_1264,refute_0_1267]) ).
cnf(refute_0_1269,plain,
multiply(inverse(X_58),inverse(X_8)) = multiply(X_8,multiply(inverse(X_8),multiply(inverse(X_58),inverse(X_8)))),
inference(subst,[],[refute_0_291:[bind(X_10,$fot(multiply(inverse(X_58),inverse(X_8))))]]) ).
cnf(refute_0_1270,plain,
multiply(inverse(X_8),multiply(inverse(X_58),inverse(X_8))) = multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))),
inference(subst,[],[refute_0_540:[bind(X_28,$fot(inverse(X_8))),bind(X_8,$fot(X_58))]]) ).
cnf(refute_0_1271,plain,
( multiply(inverse(X_58),inverse(X_8)) != multiply(X_8,multiply(inverse(X_8),multiply(inverse(X_58),inverse(X_8))))
| multiply(inverse(X_8),multiply(inverse(X_58),inverse(X_8))) != multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))
| multiply(inverse(X_58),inverse(X_8)) = multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_58),inverse(X_8)),multiply(X_8,multiply(inverse(X_8),multiply(inverse(X_58),inverse(X_8))))) ),[1,1],$fot(multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))))]]) ).
cnf(refute_0_1272,plain,
( multiply(inverse(X_58),inverse(X_8)) != multiply(X_8,multiply(inverse(X_8),multiply(inverse(X_58),inverse(X_8))))
| multiply(inverse(X_58),inverse(X_8)) = multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_8),multiply(inverse(X_58),inverse(X_8))),multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))) )],[refute_0_1270,refute_0_1271]) ).
cnf(refute_0_1273,plain,
multiply(inverse(X_58),inverse(X_8)) = multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),inverse(X_8)),multiply(X_8,multiply(inverse(X_8),multiply(inverse(X_58),inverse(X_8))))) )],[refute_0_1269,refute_0_1272]) ).
cnf(refute_0_1274,plain,
multiply(X_8,multiply(X_58,multiply(X_8,X_58))) = inverse(multiply(X_8,X_58)),
inference(subst,[],[refute_0_1223:[bind(X,$fot(X_8)),bind(Y,$fot(X_58))]]) ).
cnf(refute_0_1275,plain,
multiply(X_8,inverse(inverse(X_58))) = multiply(X_8,inverse(inverse(X_58))),
introduced(tautology,[refl,[$fot(multiply(X_8,inverse(inverse(X_58))))]]) ).
cnf(refute_0_1276,plain,
( multiply(X_8,inverse(inverse(X_58))) != multiply(X_8,inverse(inverse(X_58)))
| inverse(inverse(X_58)) != X_58
| multiply(X_8,inverse(inverse(X_58))) = multiply(X_8,X_58) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_8,inverse(inverse(X_58))),multiply(X_8,inverse(inverse(X_58)))) ),[1,1],$fot(X_58)]]) ).
cnf(refute_0_1277,plain,
( inverse(inverse(X_58)) != X_58
| multiply(X_8,inverse(inverse(X_58))) = multiply(X_8,X_58) ),
inference(resolve,[$cnf( $equal(multiply(X_8,inverse(inverse(X_58))),multiply(X_8,inverse(inverse(X_58)))) )],[refute_0_1275,refute_0_1276]) ).
cnf(refute_0_1278,plain,
multiply(X_8,inverse(inverse(X_58))) = multiply(X_8,X_58),
inference(resolve,[$cnf( $equal(inverse(inverse(X_58)),X_58) )],[refute_0_963,refute_0_1277]) ).
cnf(refute_0_1279,plain,
inverse(multiply(inverse(X_58),inverse(X_8))) = multiply(X_8,inverse(inverse(X_58))),
inference(subst,[],[refute_0_1263:[bind(Y,$fot(inverse(X_58))),bind(X_90,$fot(X_8))]]) ).
cnf(refute_0_1280,plain,
( multiply(X_8,inverse(inverse(X_58))) != multiply(X_8,X_58)
| inverse(multiply(inverse(X_58),inverse(X_8))) != multiply(X_8,inverse(inverse(X_58)))
| inverse(multiply(inverse(X_58),inverse(X_8))) = multiply(X_8,X_58) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(inverse(multiply(inverse(X_58),inverse(X_8))))),bind(Y0,$fot(multiply(X_8,inverse(inverse(X_58))))),bind(Z0,$fot(multiply(X_8,X_58)))]]) ).
cnf(refute_0_1281,plain,
( multiply(X_8,inverse(inverse(X_58))) != multiply(X_8,X_58)
| inverse(multiply(inverse(X_58),inverse(X_8))) = multiply(X_8,X_58) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_58),inverse(X_8))),multiply(X_8,inverse(inverse(X_58)))) )],[refute_0_1279,refute_0_1280]) ).
cnf(refute_0_1282,plain,
inverse(multiply(inverse(X_58),inverse(X_8))) = multiply(X_8,X_58),
inference(resolve,[$cnf( $equal(multiply(X_8,inverse(inverse(X_58))),multiply(X_8,X_58)) )],[refute_0_1278,refute_0_1281]) ).
cnf(refute_0_1283,plain,
multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))) = multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))),
introduced(tautology,[refl,[$fot(multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))))]]) ).
cnf(refute_0_1284,plain,
( multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))) != multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))
| inverse(multiply(inverse(X_58),inverse(X_8))) != multiply(X_8,X_58)
| multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))) = multiply(X_58,multiply(X_8,X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))),multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))) ),[1,1],$fot(multiply(X_8,X_58))]]) ).
cnf(refute_0_1285,plain,
( inverse(multiply(inverse(X_58),inverse(X_8))) != multiply(X_8,X_58)
| multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))) = multiply(X_58,multiply(X_8,X_58)) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))),multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))) )],[refute_0_1283,refute_0_1284]) ).
cnf(refute_0_1286,plain,
multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))) = multiply(X_58,multiply(X_8,X_58)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_58),inverse(X_8))),multiply(X_8,X_58)) )],[refute_0_1282,refute_0_1285]) ).
cnf(refute_0_1287,plain,
multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))) = multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))),
introduced(tautology,[refl,[$fot(multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))))]]) ).
cnf(refute_0_1288,plain,
( multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))) != multiply(X_58,multiply(X_8,X_58))
| multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))) != multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))))
| multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))) = multiply(X_8,multiply(X_58,multiply(X_8,X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))),multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))))) ),[1,1],$fot(multiply(X_58,multiply(X_8,X_58)))]]) ).
cnf(refute_0_1289,plain,
( multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))) != multiply(X_58,multiply(X_8,X_58))
| multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))) = multiply(X_8,multiply(X_58,multiply(X_8,X_58))) ),
inference(resolve,[$cnf( $equal(multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))),multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))))) )],[refute_0_1287,refute_0_1288]) ).
cnf(refute_0_1290,plain,
multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))) = multiply(X_8,multiply(X_58,multiply(X_8,X_58))),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))),multiply(X_58,multiply(X_8,X_58))) )],[refute_0_1286,refute_0_1289]) ).
cnf(refute_0_1291,plain,
( multiply(X_8,multiply(X_58,multiply(X_8,X_58))) != inverse(multiply(X_8,X_58))
| multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))) != multiply(X_8,multiply(X_58,multiply(X_8,X_58)))
| multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))) = inverse(multiply(X_8,X_58)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))))),bind(Y0,$fot(multiply(X_8,multiply(X_58,multiply(X_8,X_58))))),bind(Z0,$fot(inverse(multiply(X_8,X_58))))]]) ).
cnf(refute_0_1292,plain,
( multiply(X_8,multiply(X_58,multiply(X_8,X_58))) != inverse(multiply(X_8,X_58))
| multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))) = inverse(multiply(X_8,X_58)) ),
inference(resolve,[$cnf( $equal(multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))),multiply(X_8,multiply(X_58,multiply(X_8,X_58)))) )],[refute_0_1290,refute_0_1291]) ).
cnf(refute_0_1293,plain,
multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))) = inverse(multiply(X_8,X_58)),
inference(resolve,[$cnf( $equal(multiply(X_8,multiply(X_58,multiply(X_8,X_58))),inverse(multiply(X_8,X_58))) )],[refute_0_1274,refute_0_1292]) ).
cnf(refute_0_1294,plain,
( multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))) != inverse(multiply(X_8,X_58))
| multiply(inverse(X_58),inverse(X_8)) != multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))))
| multiply(inverse(X_58),inverse(X_8)) = inverse(multiply(X_8,X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_58),inverse(X_8)),multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))))) ),[1],$fot(inverse(multiply(X_8,X_58)))]]) ).
cnf(refute_0_1295,plain,
( multiply(inverse(X_58),inverse(X_8)) != multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))))
| multiply(inverse(X_58),inverse(X_8)) = inverse(multiply(X_8,X_58)) ),
inference(resolve,[$cnf( $equal(multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8))))),inverse(multiply(X_8,X_58))) )],[refute_0_1293,refute_0_1294]) ).
cnf(refute_0_1296,plain,
multiply(inverse(X_58),inverse(X_8)) = inverse(multiply(X_8,X_58)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),inverse(X_8)),multiply(X_8,multiply(X_58,inverse(multiply(inverse(X_58),inverse(X_8)))))) )],[refute_0_1273,refute_0_1295]) ).
cnf(refute_0_1297,plain,
multiply(inverse(X_93),inverse(Y)) = inverse(multiply(Y,X_93)),
inference(subst,[],[refute_0_1296:[bind(X_58,$fot(X_93)),bind(X_8,$fot(Y))]]) ).
cnf(refute_0_1298,plain,
multiply(X_92,multiply(inverse(X_93),inverse(Y))) = multiply(X_92,multiply(inverse(X_93),inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(X_92,multiply(inverse(X_93),inverse(Y))))]]) ).
cnf(refute_0_1299,plain,
( multiply(X_92,multiply(inverse(X_93),inverse(Y))) != multiply(X_92,multiply(inverse(X_93),inverse(Y)))
| multiply(inverse(X_93),inverse(Y)) != inverse(multiply(Y,X_93))
| multiply(X_92,multiply(inverse(X_93),inverse(Y))) = multiply(X_92,inverse(multiply(Y,X_93))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_92,multiply(inverse(X_93),inverse(Y))),multiply(X_92,multiply(inverse(X_93),inverse(Y)))) ),[1,1],$fot(inverse(multiply(Y,X_93)))]]) ).
cnf(refute_0_1300,plain,
( multiply(inverse(X_93),inverse(Y)) != inverse(multiply(Y,X_93))
| multiply(X_92,multiply(inverse(X_93),inverse(Y))) = multiply(X_92,inverse(multiply(Y,X_93))) ),
inference(resolve,[$cnf( $equal(multiply(X_92,multiply(inverse(X_93),inverse(Y))),multiply(X_92,multiply(inverse(X_93),inverse(Y)))) )],[refute_0_1298,refute_0_1299]) ).
cnf(refute_0_1301,plain,
multiply(X_92,multiply(inverse(X_93),inverse(Y))) = multiply(X_92,inverse(multiply(Y,X_93))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_93),inverse(Y)),inverse(multiply(Y,X_93))) )],[refute_0_1297,refute_0_1300]) ).
cnf(refute_0_1302,plain,
multiply(multiply(X_92,inverse(X_93)),inverse(Y)) = multiply(X_92,multiply(inverse(X_93),inverse(Y))),
inference(subst,[],[associativity:[bind(X,$fot(X_92)),bind(Y,$fot(inverse(X_93))),bind(Z,$fot(inverse(Y)))]]) ).
cnf(refute_0_1303,plain,
( multiply(X_92,multiply(inverse(X_93),inverse(Y))) != multiply(X_92,inverse(multiply(Y,X_93)))
| multiply(multiply(X_92,inverse(X_93)),inverse(Y)) != multiply(X_92,multiply(inverse(X_93),inverse(Y)))
| multiply(multiply(X_92,inverse(X_93)),inverse(Y)) = multiply(X_92,inverse(multiply(Y,X_93))) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(multiply(X_92,inverse(X_93)),inverse(Y)))),bind(Y0,$fot(multiply(X_92,multiply(inverse(X_93),inverse(Y))))),bind(Z0,$fot(multiply(X_92,inverse(multiply(Y,X_93)))))]]) ).
cnf(refute_0_1304,plain,
( multiply(X_92,multiply(inverse(X_93),inverse(Y))) != multiply(X_92,inverse(multiply(Y,X_93)))
| multiply(multiply(X_92,inverse(X_93)),inverse(Y)) = multiply(X_92,inverse(multiply(Y,X_93))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_92,inverse(X_93)),inverse(Y)),multiply(X_92,multiply(inverse(X_93),inverse(Y)))) )],[refute_0_1302,refute_0_1303]) ).
cnf(refute_0_1305,plain,
multiply(multiply(X_92,inverse(X_93)),inverse(Y)) = multiply(X_92,inverse(multiply(Y,X_93))),
inference(resolve,[$cnf( $equal(multiply(X_92,multiply(inverse(X_93),inverse(Y))),multiply(X_92,inverse(multiply(Y,X_93)))) )],[refute_0_1301,refute_0_1304]) ).
cnf(refute_0_1306,plain,
( multiply(multiply(X_92,inverse(X_93)),inverse(Y)) != multiply(X_92,inverse(multiply(Y,X_93)))
| inverse(multiply(Y,multiply(X_93,inverse(X_92)))) != multiply(multiply(X_92,inverse(X_93)),inverse(Y))
| inverse(multiply(Y,multiply(X_93,inverse(X_92)))) = multiply(X_92,inverse(multiply(Y,X_93))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(Y,multiply(X_93,inverse(X_92)))),multiply(multiply(X_92,inverse(X_93)),inverse(Y))) ),[1],$fot(multiply(X_92,inverse(multiply(Y,X_93))))]]) ).
cnf(refute_0_1307,plain,
( inverse(multiply(Y,multiply(X_93,inverse(X_92)))) != multiply(multiply(X_92,inverse(X_93)),inverse(Y))
| inverse(multiply(Y,multiply(X_93,inverse(X_92)))) = multiply(X_92,inverse(multiply(Y,X_93))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_92,inverse(X_93)),inverse(Y)),multiply(X_92,inverse(multiply(Y,X_93)))) )],[refute_0_1305,refute_0_1306]) ).
cnf(refute_0_1308,plain,
inverse(multiply(Y,multiply(X_93,inverse(X_92)))) = multiply(X_92,inverse(multiply(Y,X_93))),
inference(resolve,[$cnf( $equal(inverse(multiply(Y,multiply(X_93,inverse(X_92)))),multiply(multiply(X_92,inverse(X_93)),inverse(Y))) )],[refute_0_1268,refute_0_1307]) ).
cnf(refute_0_1309,plain,
inverse(multiply(X_47,multiply(X_95,inverse(X_47)))) = multiply(X_47,inverse(multiply(X_47,X_95))),
inference(subst,[],[refute_0_1308:[bind(Y,$fot(X_47)),bind(X_92,$fot(X_47)),bind(X_93,$fot(X_95))]]) ).
cnf(refute_0_1310,plain,
( inverse(multiply(X_47,X_9)) != multiply(inverse(multiply(X_9,X_47)),commutator(X_9,X_47))
| multiply(inverse(multiply(X_9,X_47)),commutator(X_9,X_47)) = inverse(multiply(X_47,X_9)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(inverse(multiply(X_47,X_9)))),bind(Y0,$fot(multiply(inverse(multiply(X_9,X_47)),commutator(X_9,X_47))))]]) ).
cnf(refute_0_1311,plain,
multiply(inverse(multiply(X_9,X_47)),commutator(X_9,X_47)) = inverse(multiply(X_47,X_9)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_47,X_9)),multiply(inverse(multiply(X_9,X_47)),commutator(X_9,X_47))) )],[refute_0_444,refute_0_1310]) ).
cnf(refute_0_1312,plain,
multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47)) = inverse(multiply(X_47,multiply(X_95,inverse(X_47)))),
inference(subst,[],[refute_0_1311:[bind(X_9,$fot(multiply(X_95,inverse(X_47))))]]) ).
cnf(refute_0_1313,plain,
( multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47)) != inverse(multiply(X_47,multiply(X_95,inverse(X_47))))
| inverse(multiply(X_47,multiply(X_95,inverse(X_47)))) != multiply(X_47,inverse(multiply(X_47,X_95)))
| multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47)) = multiply(X_47,inverse(multiply(X_47,X_95))) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47)))),bind(Y0,$fot(inverse(multiply(X_47,multiply(X_95,inverse(X_47)))))),bind(Z0,$fot(multiply(X_47,inverse(multiply(X_47,X_95)))))]]) ).
cnf(refute_0_1314,plain,
( inverse(multiply(X_47,multiply(X_95,inverse(X_47)))) != multiply(X_47,inverse(multiply(X_47,X_95)))
| multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47)) = multiply(X_47,inverse(multiply(X_47,X_95))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47)),inverse(multiply(X_47,multiply(X_95,inverse(X_47))))) )],[refute_0_1312,refute_0_1313]) ).
cnf(refute_0_1315,plain,
multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47)) = multiply(X_47,inverse(multiply(X_47,X_95))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_47,multiply(X_95,inverse(X_47)))),multiply(X_47,inverse(multiply(X_47,X_95)))) )],[refute_0_1309,refute_0_1314]) ).
cnf(refute_0_1316,plain,
( multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47)) != multiply(X_47,inverse(multiply(X_47,X_95)))
| inverse(multiply(X_95,commutator(X_47,X_95))) != multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47))
| inverse(multiply(X_95,commutator(X_47,X_95))) = multiply(X_47,inverse(multiply(X_47,X_95))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_95,commutator(X_47,X_95))),multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47))) ),[1],$fot(multiply(X_47,inverse(multiply(X_47,X_95))))]]) ).
cnf(refute_0_1317,plain,
( inverse(multiply(X_95,commutator(X_47,X_95))) != multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47))
| inverse(multiply(X_95,commutator(X_47,X_95))) = multiply(X_47,inverse(multiply(X_47,X_95))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47)),multiply(X_47,inverse(multiply(X_47,X_95)))) )],[refute_0_1315,refute_0_1316]) ).
cnf(refute_0_1318,plain,
inverse(multiply(X_95,commutator(X_47,X_95))) = multiply(X_47,inverse(multiply(X_47,X_95))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_95,commutator(X_47,X_95))),multiply(inverse(multiply(multiply(X_95,inverse(X_47)),X_47)),commutator(multiply(X_95,inverse(X_47)),X_47))) )],[refute_0_1070,refute_0_1317]) ).
cnf(refute_0_1319,plain,
inverse(multiply(commutator(X_100,commutator(X_94,X_100)),commutator(X_100,commutator(X_100,commutator(X_94,X_100))))) = multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))),
inference(subst,[],[refute_0_1318:[bind(X_47,$fot(X_100)),bind(X_95,$fot(commutator(X_100,commutator(X_94,X_100))))]]) ).
cnf(refute_0_1320,plain,
commutator(multiply(inverse(multiply(X_65,inverse(X_63))),X_65),X_63) = multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(X_63))))))),
inference(subst,[],[refute_0_584:[bind(Y,$fot(X_63)),bind(X_8,$fot(inverse(multiply(X_65,inverse(X_63))))),bind(X_9,$fot(X_65))]]) ).
cnf(refute_0_1321,plain,
multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(X_63))) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(multiply(X_65,inverse(X_63))))]]) ).
cnf(refute_0_1322,plain,
( multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(X_63))) != identity
| commutator(multiply(inverse(multiply(X_65,inverse(X_63))),X_65),X_63) != multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(X_63)))))))
| commutator(multiply(inverse(multiply(X_65,inverse(X_63))),X_65),X_63) = multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(multiply(X_65,inverse(X_63))),X_65),X_63),multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(X_63)))))))) ),[1,1,1,0,1],$fot(identity)]]) ).
cnf(refute_0_1323,plain,
( commutator(multiply(inverse(multiply(X_65,inverse(X_63))),X_65),X_63) != multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(X_63)))))))
| commutator(multiply(inverse(multiply(X_65,inverse(X_63))),X_65),X_63) = multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(X_63))),identity) )],[refute_0_1321,refute_0_1322]) ).
cnf(refute_0_1324,plain,
commutator(multiply(inverse(multiply(X_65,inverse(X_63))),X_65),X_63) = multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity)))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_65,inverse(X_63))),X_65),X_63),multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(X_63)))))))) )],[refute_0_1320,refute_0_1323]) ).
cnf(refute_0_1325,plain,
multiply(X_63,identity) = X_63,
inference(subst,[],[refute_0_49:[bind(X_13,$fot(X_63))]]) ).
cnf(refute_0_1326,plain,
inverse(multiply(X_63,identity)) = inverse(multiply(X_63,identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(X_63,identity)))]]) ).
cnf(refute_0_1327,plain,
( multiply(X_63,identity) != X_63
| inverse(multiply(X_63,identity)) != inverse(multiply(X_63,identity))
| inverse(multiply(X_63,identity)) = inverse(X_63) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_63,identity)),inverse(multiply(X_63,identity))) ),[1,0],$fot(X_63)]]) ).
cnf(refute_0_1328,plain,
( multiply(X_63,identity) != X_63
| inverse(multiply(X_63,identity)) = inverse(X_63) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_63,identity)),inverse(multiply(X_63,identity))) )],[refute_0_1326,refute_0_1327]) ).
cnf(refute_0_1329,plain,
inverse(multiply(X_63,identity)) = inverse(X_63),
inference(resolve,[$cnf( $equal(multiply(X_63,identity),X_63) )],[refute_0_1325,refute_0_1328]) ).
cnf(refute_0_1330,plain,
multiply(X_65,inverse(multiply(X_63,identity))) = multiply(X_65,inverse(multiply(X_63,identity))),
introduced(tautology,[refl,[$fot(multiply(X_65,inverse(multiply(X_63,identity))))]]) ).
cnf(refute_0_1331,plain,
( multiply(X_65,inverse(multiply(X_63,identity))) != multiply(X_65,inverse(multiply(X_63,identity)))
| inverse(multiply(X_63,identity)) != inverse(X_63)
| multiply(X_65,inverse(multiply(X_63,identity))) = multiply(X_65,inverse(X_63)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_65,inverse(multiply(X_63,identity))),multiply(X_65,inverse(multiply(X_63,identity)))) ),[1,1],$fot(inverse(X_63))]]) ).
cnf(refute_0_1332,plain,
( inverse(multiply(X_63,identity)) != inverse(X_63)
| multiply(X_65,inverse(multiply(X_63,identity))) = multiply(X_65,inverse(X_63)) ),
inference(resolve,[$cnf( $equal(multiply(X_65,inverse(multiply(X_63,identity))),multiply(X_65,inverse(multiply(X_63,identity)))) )],[refute_0_1330,refute_0_1331]) ).
cnf(refute_0_1333,plain,
multiply(X_65,inverse(multiply(X_63,identity))) = multiply(X_65,inverse(X_63)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_63,identity)),inverse(X_63)) )],[refute_0_1329,refute_0_1332]) ).
cnf(refute_0_1334,plain,
multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity)))) = multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity)))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity)))))]]) ).
cnf(refute_0_1335,plain,
( multiply(X_65,inverse(multiply(X_63,identity))) != multiply(X_65,inverse(X_63))
| multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity)))) != multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity))))
| multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity)))) = multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(X_63))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity)))),multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity))))) ),[1,1],$fot(multiply(X_65,inverse(X_63)))]]) ).
cnf(refute_0_1336,plain,
( multiply(X_65,inverse(multiply(X_63,identity))) != multiply(X_65,inverse(X_63))
| multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity)))) = multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(X_63))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity)))),multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity))))) )],[refute_0_1334,refute_0_1335]) ).
cnf(refute_0_1337,plain,
multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity)))) = multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(X_63))),
inference(resolve,[$cnf( $equal(multiply(X_65,inverse(multiply(X_63,identity))),multiply(X_65,inverse(X_63))) )],[refute_0_1333,refute_0_1336]) ).
cnf(refute_0_1338,plain,
( multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(X_63))) != identity
| multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity)))) != multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(X_63)))
| multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity)))) = identity ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity)))))),bind(Y0,$fot(multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(X_63))))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_1339,plain,
( multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(X_63))) != identity
| multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity)))) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity)))),multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(X_63)))) )],[refute_0_1337,refute_0_1338]) ).
cnf(refute_0_1340,plain,
multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity)))) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(X_63))),identity) )],[refute_0_1321,refute_0_1339]) ).
cnf(refute_0_1341,plain,
( multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity)))) != identity
| commutator(multiply(inverse(multiply(X_65,inverse(X_63))),X_65),X_63) != multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity))))
| commutator(multiply(inverse(multiply(X_65,inverse(X_63))),X_65),X_63) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(multiply(X_65,inverse(X_63))),X_65),X_63),multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity))))) ),[1],$fot(identity)]]) ).
cnf(refute_0_1342,plain,
( commutator(multiply(inverse(multiply(X_65,inverse(X_63))),X_65),X_63) != multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity))))
| commutator(multiply(inverse(multiply(X_65,inverse(X_63))),X_65),X_63) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity)))),identity) )],[refute_0_1340,refute_0_1341]) ).
cnf(refute_0_1343,plain,
commutator(multiply(inverse(multiply(X_65,inverse(X_63))),X_65),X_63) = identity,
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_65,inverse(X_63))),X_65),X_63),multiply(inverse(multiply(X_65,inverse(X_63))),multiply(X_65,inverse(multiply(X_63,identity))))) )],[refute_0_1324,refute_0_1342]) ).
cnf(refute_0_1344,plain,
commutator(multiply(inverse(multiply(X_67,inverse(inverse(X_10)))),X_67),inverse(X_10)) = identity,
inference(subst,[],[refute_0_1343:[bind(X_63,$fot(inverse(X_10))),bind(X_65,$fot(X_67))]]) ).
cnf(refute_0_1345,plain,
( commutator(multiply(inverse(multiply(X_67,inverse(inverse(X_10)))),X_67),inverse(X_10)) != identity
| inverse(inverse(X_10)) != X_10
| commutator(multiply(inverse(multiply(X_67,X_10)),X_67),inverse(X_10)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(multiply(X_67,inverse(inverse(X_10)))),X_67),inverse(X_10)),identity) ),[0,0,0,0,1],$fot(X_10)]]) ).
cnf(refute_0_1346,plain,
( commutator(multiply(inverse(multiply(X_67,inverse(inverse(X_10)))),X_67),inverse(X_10)) != identity
| commutator(multiply(inverse(multiply(X_67,X_10)),X_67),inverse(X_10)) = identity ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_63,refute_0_1345]) ).
cnf(refute_0_1347,plain,
commutator(multiply(inverse(multiply(X_67,X_10)),X_67),inverse(X_10)) = identity,
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_67,inverse(inverse(X_10)))),X_67),inverse(X_10)),identity) )],[refute_0_1344,refute_0_1346]) ).
cnf(refute_0_1348,plain,
commutator(multiply(inverse(multiply(X_67,X_10)),X_67),inverse(X_10)) = commutator(X_10,multiply(inverse(multiply(X_67,X_10)),X_67)),
inference(subst,[],[refute_0_669:[bind(X_58,$fot(X_10)),bind(X_9,$fot(multiply(inverse(multiply(X_67,X_10)),X_67)))]]) ).
cnf(refute_0_1349,plain,
( commutator(multiply(inverse(multiply(X_67,X_10)),X_67),inverse(X_10)) != commutator(X_10,multiply(inverse(multiply(X_67,X_10)),X_67))
| commutator(multiply(inverse(multiply(X_67,X_10)),X_67),inverse(X_10)) != identity
| commutator(X_10,multiply(inverse(multiply(X_67,X_10)),X_67)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(multiply(X_67,X_10)),X_67),inverse(X_10)),identity) ),[0],$fot(commutator(X_10,multiply(inverse(multiply(X_67,X_10)),X_67)))]]) ).
cnf(refute_0_1350,plain,
( commutator(multiply(inverse(multiply(X_67,X_10)),X_67),inverse(X_10)) != identity
| commutator(X_10,multiply(inverse(multiply(X_67,X_10)),X_67)) = identity ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_67,X_10)),X_67),inverse(X_10)),commutator(X_10,multiply(inverse(multiply(X_67,X_10)),X_67))) )],[refute_0_1348,refute_0_1349]) ).
cnf(refute_0_1351,plain,
commutator(X_10,multiply(inverse(multiply(X_67,X_10)),X_67)) = identity,
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_67,X_10)),X_67),inverse(X_10)),identity) )],[refute_0_1347,refute_0_1350]) ).
cnf(refute_0_1352,plain,
commutator(multiply(X_84,commutator(X_84,X_67)),multiply(inverse(multiply(X_67,multiply(X_84,commutator(X_84,X_67)))),X_67)) = identity,
inference(subst,[],[refute_0_1351:[bind(X_10,$fot(multiply(X_84,commutator(X_84,X_67))))]]) ).
cnf(refute_0_1353,plain,
multiply(X_84,X_67) = multiply(X_67,multiply(X_84,commutator(X_84,X_67))),
inference(subst,[],[refute_0_1099:[bind(X_26,$fot(X_84)),bind(X_8,$fot(X_67))]]) ).
cnf(refute_0_1354,plain,
( multiply(X_84,X_67) != multiply(X_67,multiply(X_84,commutator(X_84,X_67)))
| multiply(X_67,multiply(X_84,commutator(X_84,X_67))) = multiply(X_84,X_67) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(X_84,X_67))),bind(Y0,$fot(multiply(X_67,multiply(X_84,commutator(X_84,X_67)))))]]) ).
cnf(refute_0_1355,plain,
multiply(X_67,multiply(X_84,commutator(X_84,X_67))) = multiply(X_84,X_67),
inference(resolve,[$cnf( $equal(multiply(X_84,X_67),multiply(X_67,multiply(X_84,commutator(X_84,X_67)))) )],[refute_0_1353,refute_0_1354]) ).
cnf(refute_0_1356,plain,
( multiply(X_67,multiply(X_84,commutator(X_84,X_67))) != multiply(X_84,X_67)
| commutator(multiply(X_84,commutator(X_84,X_67)),multiply(inverse(multiply(X_67,multiply(X_84,commutator(X_84,X_67)))),X_67)) != identity
| commutator(multiply(X_84,commutator(X_84,X_67)),multiply(inverse(multiply(X_84,X_67)),X_67)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_84,commutator(X_84,X_67)),multiply(inverse(multiply(X_67,multiply(X_84,commutator(X_84,X_67)))),X_67)),identity) ),[0,1,0,0],$fot(multiply(X_84,X_67))]]) ).
cnf(refute_0_1357,plain,
( commutator(multiply(X_84,commutator(X_84,X_67)),multiply(inverse(multiply(X_67,multiply(X_84,commutator(X_84,X_67)))),X_67)) != identity
| commutator(multiply(X_84,commutator(X_84,X_67)),multiply(inverse(multiply(X_84,X_67)),X_67)) = identity ),
inference(resolve,[$cnf( $equal(multiply(X_67,multiply(X_84,commutator(X_84,X_67))),multiply(X_84,X_67)) )],[refute_0_1355,refute_0_1356]) ).
cnf(refute_0_1358,plain,
commutator(multiply(X_84,commutator(X_84,X_67)),multiply(inverse(multiply(X_84,X_67)),X_67)) = identity,
inference(resolve,[$cnf( $equal(commutator(multiply(X_84,commutator(X_84,X_67)),multiply(inverse(multiply(X_67,multiply(X_84,commutator(X_84,X_67)))),X_67)),identity) )],[refute_0_1352,refute_0_1357]) ).
cnf(refute_0_1359,plain,
commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_84,commutator(X_94,X_84))),commutator(X_94,X_84))) = identity,
inference(subst,[],[refute_0_1358:[bind(X_67,$fot(commutator(X_94,X_84)))]]) ).
cnf(refute_0_1360,plain,
multiply(X_94,multiply(X_84,inverse(X_94))) = multiply(X_84,commutator(X_94,X_84)),
inference(subst,[],[refute_0_1066:[bind(Y,$fot(X_94)),bind(X_24,$fot(X_84))]]) ).
cnf(refute_0_1361,plain,
( multiply(X_94,multiply(X_84,inverse(X_94))) != multiply(X_84,commutator(X_94,X_84))
| multiply(X_84,commutator(X_94,X_84)) = multiply(X_94,multiply(X_84,inverse(X_94))) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(X_94,multiply(X_84,inverse(X_94))))),bind(Y0,$fot(multiply(X_84,commutator(X_94,X_84))))]]) ).
cnf(refute_0_1362,plain,
multiply(X_84,commutator(X_94,X_84)) = multiply(X_94,multiply(X_84,inverse(X_94))),
inference(resolve,[$cnf( $equal(multiply(X_94,multiply(X_84,inverse(X_94))),multiply(X_84,commutator(X_94,X_84))) )],[refute_0_1360,refute_0_1361]) ).
cnf(refute_0_1363,plain,
( multiply(X_84,commutator(X_94,X_84)) != multiply(X_94,multiply(X_84,inverse(X_94)))
| commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_84,commutator(X_94,X_84))),commutator(X_94,X_84))) != identity
| commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_84,commutator(X_94,X_84))),commutator(X_94,X_84))),identity) ),[0,1,0,0],$fot(multiply(X_94,multiply(X_84,inverse(X_94))))]]) ).
cnf(refute_0_1364,plain,
( commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_84,commutator(X_94,X_84))),commutator(X_94,X_84))) != identity
| commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))) = identity ),
inference(resolve,[$cnf( $equal(multiply(X_84,commutator(X_94,X_84)),multiply(X_94,multiply(X_84,inverse(X_94)))) )],[refute_0_1362,refute_0_1363]) ).
cnf(refute_0_1365,plain,
commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))) = identity,
inference(resolve,[$cnf( $equal(commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_84,commutator(X_94,X_84))),commutator(X_94,X_84))),identity) )],[refute_0_1359,refute_0_1364]) ).
cnf(refute_0_1366,plain,
commutator(X_84,multiply(X_84,commutator(X_84,commutator(X_94,X_84)))) = commutator(X_84,commutator(X_84,commutator(X_94,X_84))),
inference(subst,[],[refute_0_762:[bind(Y,$fot(commutator(X_84,commutator(X_94,X_84)))),bind(X_38,$fot(X_84))]]) ).
cnf(refute_0_1367,plain,
commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),inverse(X_84)) = commutator(X_84,multiply(X_84,commutator(X_84,commutator(X_94,X_84)))),
inference(subst,[],[refute_0_669:[bind(X_58,$fot(X_84)),bind(X_9,$fot(multiply(X_84,commutator(X_84,commutator(X_94,X_84)))))]]) ).
cnf(refute_0_1368,plain,
( commutator(X_84,multiply(X_84,commutator(X_84,commutator(X_94,X_84)))) != commutator(X_84,commutator(X_84,commutator(X_94,X_84)))
| commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),inverse(X_84)) != commutator(X_84,multiply(X_84,commutator(X_84,commutator(X_94,X_84))))
| commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),inverse(X_84)) = commutator(X_84,commutator(X_84,commutator(X_94,X_84))) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),inverse(X_84)))),bind(Y0,$fot(commutator(X_84,multiply(X_84,commutator(X_84,commutator(X_94,X_84)))))),bind(Z0,$fot(commutator(X_84,commutator(X_84,commutator(X_94,X_84)))))]]) ).
cnf(refute_0_1369,plain,
( commutator(X_84,multiply(X_84,commutator(X_84,commutator(X_94,X_84)))) != commutator(X_84,commutator(X_84,commutator(X_94,X_84)))
| commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),inverse(X_84)) = commutator(X_84,commutator(X_84,commutator(X_94,X_84))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),inverse(X_84)),commutator(X_84,multiply(X_84,commutator(X_84,commutator(X_94,X_84))))) )],[refute_0_1367,refute_0_1368]) ).
cnf(refute_0_1370,plain,
commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),inverse(X_84)) = commutator(X_84,commutator(X_84,commutator(X_94,X_84))),
inference(resolve,[$cnf( $equal(commutator(X_84,multiply(X_84,commutator(X_84,commutator(X_94,X_84)))),commutator(X_84,commutator(X_84,commutator(X_94,X_84)))) )],[refute_0_1366,refute_0_1369]) ).
cnf(refute_0_1371,plain,
multiply(multiply(X,Y),multiply(inverse(multiply(X,Y)),X_23)) = multiply(X,multiply(Y,multiply(inverse(multiply(X,Y)),X_23))),
inference(subst,[],[associativity:[bind(Z,$fot(multiply(inverse(multiply(X,Y)),X_23)))]]) ).
cnf(refute_0_1372,plain,
X_23 = multiply(multiply(X,Y),multiply(inverse(multiply(X,Y)),X_23)),
inference(subst,[],[refute_0_291:[bind(X_10,$fot(X_23)),bind(X_8,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_1373,plain,
( X_23 != multiply(multiply(X,Y),multiply(inverse(multiply(X,Y)),X_23))
| multiply(multiply(X,Y),multiply(inverse(multiply(X,Y)),X_23)) = X_23 ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(X_23)),bind(Y0,$fot(multiply(multiply(X,Y),multiply(inverse(multiply(X,Y)),X_23))))]]) ).
cnf(refute_0_1374,plain,
multiply(multiply(X,Y),multiply(inverse(multiply(X,Y)),X_23)) = X_23,
inference(resolve,[$cnf( $equal(X_23,multiply(multiply(X,Y),multiply(inverse(multiply(X,Y)),X_23))) )],[refute_0_1372,refute_0_1373]) ).
cnf(refute_0_1375,plain,
( multiply(multiply(X,Y),multiply(inverse(multiply(X,Y)),X_23)) != X_23
| multiply(multiply(X,Y),multiply(inverse(multiply(X,Y)),X_23)) != multiply(X,multiply(Y,multiply(inverse(multiply(X,Y)),X_23)))
| X_23 = multiply(X,multiply(Y,multiply(inverse(multiply(X,Y)),X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,Y),multiply(inverse(multiply(X,Y)),X_23)),multiply(X,multiply(Y,multiply(inverse(multiply(X,Y)),X_23)))) ),[0],$fot(X_23)]]) ).
cnf(refute_0_1376,plain,
( multiply(multiply(X,Y),multiply(inverse(multiply(X,Y)),X_23)) != multiply(X,multiply(Y,multiply(inverse(multiply(X,Y)),X_23)))
| X_23 = multiply(X,multiply(Y,multiply(inverse(multiply(X,Y)),X_23))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),multiply(inverse(multiply(X,Y)),X_23)),X_23) )],[refute_0_1374,refute_0_1375]) ).
cnf(refute_0_1377,plain,
X_23 = multiply(X,multiply(Y,multiply(inverse(multiply(X,Y)),X_23))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),multiply(inverse(multiply(X,Y)),X_23)),multiply(X,multiply(Y,multiply(inverse(multiply(X,Y)),X_23)))) )],[refute_0_1371,refute_0_1376]) ).
cnf(refute_0_1378,plain,
multiply(X_32,inverse(multiply(X_31,X_32))) = multiply(X_31,multiply(X_32,multiply(inverse(multiply(X_31,X_32)),multiply(X_32,inverse(multiply(X_31,X_32)))))),
inference(subst,[],[refute_0_1377:[bind(X,$fot(X_31)),bind(Y,$fot(X_32)),bind(X_23,$fot(multiply(X_32,inverse(multiply(X_31,X_32)))))]]) ).
cnf(refute_0_1379,plain,
inverse(multiply(X_32,inverse(multiply(X_31,X_32)))) = multiply(X_32,multiply(inverse(multiply(X_31,X_32)),multiply(X_32,inverse(multiply(X_31,X_32))))),
inference(subst,[],[refute_0_365:[bind(X,$fot(X_32)),bind(Y,$fot(inverse(multiply(X_31,X_32))))]]) ).
cnf(refute_0_1380,plain,
( inverse(multiply(X_32,inverse(multiply(X_31,X_32)))) != multiply(X_32,multiply(inverse(multiply(X_31,X_32)),multiply(X_32,inverse(multiply(X_31,X_32)))))
| multiply(X_32,multiply(inverse(multiply(X_31,X_32)),multiply(X_32,inverse(multiply(X_31,X_32))))) = inverse(multiply(X_32,inverse(multiply(X_31,X_32)))) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(inverse(multiply(X_32,inverse(multiply(X_31,X_32)))))),bind(Y0,$fot(multiply(X_32,multiply(inverse(multiply(X_31,X_32)),multiply(X_32,inverse(multiply(X_31,X_32)))))))]]) ).
cnf(refute_0_1381,plain,
multiply(X_32,multiply(inverse(multiply(X_31,X_32)),multiply(X_32,inverse(multiply(X_31,X_32))))) = inverse(multiply(X_32,inverse(multiply(X_31,X_32)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_32,inverse(multiply(X_31,X_32)))),multiply(X_32,multiply(inverse(multiply(X_31,X_32)),multiply(X_32,inverse(multiply(X_31,X_32)))))) )],[refute_0_1379,refute_0_1380]) ).
cnf(refute_0_1382,plain,
( multiply(X_32,multiply(inverse(multiply(X_31,X_32)),multiply(X_32,inverse(multiply(X_31,X_32))))) != inverse(multiply(X_32,inverse(multiply(X_31,X_32))))
| multiply(X_32,inverse(multiply(X_31,X_32))) != multiply(X_31,multiply(X_32,multiply(inverse(multiply(X_31,X_32)),multiply(X_32,inverse(multiply(X_31,X_32))))))
| multiply(X_32,inverse(multiply(X_31,X_32))) = multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_32,inverse(multiply(X_31,X_32))),multiply(X_31,multiply(X_32,multiply(inverse(multiply(X_31,X_32)),multiply(X_32,inverse(multiply(X_31,X_32))))))) ),[1,1],$fot(inverse(multiply(X_32,inverse(multiply(X_31,X_32)))))]]) ).
cnf(refute_0_1383,plain,
( multiply(X_32,inverse(multiply(X_31,X_32))) != multiply(X_31,multiply(X_32,multiply(inverse(multiply(X_31,X_32)),multiply(X_32,inverse(multiply(X_31,X_32))))))
| multiply(X_32,inverse(multiply(X_31,X_32))) = multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32))))) ),
inference(resolve,[$cnf( $equal(multiply(X_32,multiply(inverse(multiply(X_31,X_32)),multiply(X_32,inverse(multiply(X_31,X_32))))),inverse(multiply(X_32,inverse(multiply(X_31,X_32))))) )],[refute_0_1381,refute_0_1382]) ).
cnf(refute_0_1384,plain,
multiply(X_32,inverse(multiply(X_31,X_32))) = multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32))))),
inference(resolve,[$cnf( $equal(multiply(X_32,inverse(multiply(X_31,X_32))),multiply(X_31,multiply(X_32,multiply(inverse(multiply(X_31,X_32)),multiply(X_32,inverse(multiply(X_31,X_32))))))) )],[refute_0_1378,refute_0_1383]) ).
cnf(refute_0_1385,plain,
multiply(X_31,X_31) = inverse(X_31),
inference(subst,[],[refute_0_53:[bind(X_14,$fot(X_31))]]) ).
cnf(refute_0_1386,plain,
multiply(X_31,identity) = X_31,
inference(subst,[],[refute_0_49:[bind(X_13,$fot(X_31))]]) ).
cnf(refute_0_1387,plain,
multiply(X_32,inverse(X_32)) = identity,
inference(subst,[],[refute_0_421:[bind(Y,$fot(X_32))]]) ).
cnf(refute_0_1388,plain,
multiply(X_31,multiply(X_32,inverse(X_32))) = multiply(X_31,multiply(X_32,inverse(X_32))),
introduced(tautology,[refl,[$fot(multiply(X_31,multiply(X_32,inverse(X_32))))]]) ).
cnf(refute_0_1389,plain,
( multiply(X_31,multiply(X_32,inverse(X_32))) != multiply(X_31,multiply(X_32,inverse(X_32)))
| multiply(X_32,inverse(X_32)) != identity
| multiply(X_31,multiply(X_32,inverse(X_32))) = multiply(X_31,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_31,multiply(X_32,inverse(X_32))),multiply(X_31,multiply(X_32,inverse(X_32)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_1390,plain,
( multiply(X_32,inverse(X_32)) != identity
| multiply(X_31,multiply(X_32,inverse(X_32))) = multiply(X_31,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_31,multiply(X_32,inverse(X_32))),multiply(X_31,multiply(X_32,inverse(X_32)))) )],[refute_0_1388,refute_0_1389]) ).
cnf(refute_0_1391,plain,
multiply(X_31,multiply(X_32,inverse(X_32))) = multiply(X_31,identity),
inference(resolve,[$cnf( $equal(multiply(X_32,inverse(X_32)),identity) )],[refute_0_1387,refute_0_1390]) ).
cnf(refute_0_1392,plain,
( multiply(X_31,multiply(X_32,inverse(X_32))) != multiply(X_31,identity)
| multiply(X_31,identity) != X_31
| multiply(X_31,multiply(X_32,inverse(X_32))) = X_31 ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(X_31,multiply(X_32,inverse(X_32))))),bind(Y0,$fot(multiply(X_31,identity))),bind(Z0,$fot(X_31))]]) ).
cnf(refute_0_1393,plain,
( multiply(X_31,identity) != X_31
| multiply(X_31,multiply(X_32,inverse(X_32))) = X_31 ),
inference(resolve,[$cnf( $equal(multiply(X_31,multiply(X_32,inverse(X_32))),multiply(X_31,identity)) )],[refute_0_1391,refute_0_1392]) ).
cnf(refute_0_1394,plain,
multiply(X_31,multiply(X_32,inverse(X_32))) = X_31,
inference(resolve,[$cnf( $equal(multiply(X_31,identity),X_31) )],[refute_0_1386,refute_0_1393]) ).
cnf(refute_0_1395,plain,
multiply(multiply(X_31,X_32),inverse(X_32)) = multiply(X_31,multiply(X_32,inverse(X_32))),
inference(subst,[],[associativity:[bind(X,$fot(X_31)),bind(Y,$fot(X_32)),bind(Z,$fot(inverse(X_32)))]]) ).
cnf(refute_0_1396,plain,
inverse(multiply(X_32,inverse(multiply(X_31,X_32)))) = multiply(multiply(X_31,X_32),inverse(X_32)),
inference(subst,[],[refute_0_1263:[bind(Y,$fot(X_32)),bind(X_90,$fot(multiply(X_31,X_32)))]]) ).
cnf(refute_0_1397,plain,
( multiply(multiply(X_31,X_32),inverse(X_32)) != multiply(X_31,multiply(X_32,inverse(X_32)))
| inverse(multiply(X_32,inverse(multiply(X_31,X_32)))) != multiply(multiply(X_31,X_32),inverse(X_32))
| inverse(multiply(X_32,inverse(multiply(X_31,X_32)))) = multiply(X_31,multiply(X_32,inverse(X_32))) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(inverse(multiply(X_32,inverse(multiply(X_31,X_32)))))),bind(Y0,$fot(multiply(multiply(X_31,X_32),inverse(X_32)))),bind(Z0,$fot(multiply(X_31,multiply(X_32,inverse(X_32)))))]]) ).
cnf(refute_0_1398,plain,
( multiply(multiply(X_31,X_32),inverse(X_32)) != multiply(X_31,multiply(X_32,inverse(X_32)))
| inverse(multiply(X_32,inverse(multiply(X_31,X_32)))) = multiply(X_31,multiply(X_32,inverse(X_32))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_32,inverse(multiply(X_31,X_32)))),multiply(multiply(X_31,X_32),inverse(X_32))) )],[refute_0_1396,refute_0_1397]) ).
cnf(refute_0_1399,plain,
inverse(multiply(X_32,inverse(multiply(X_31,X_32)))) = multiply(X_31,multiply(X_32,inverse(X_32))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_31,X_32),inverse(X_32)),multiply(X_31,multiply(X_32,inverse(X_32)))) )],[refute_0_1395,refute_0_1398]) ).
cnf(refute_0_1400,plain,
( multiply(X_31,multiply(X_32,inverse(X_32))) != X_31
| inverse(multiply(X_32,inverse(multiply(X_31,X_32)))) != multiply(X_31,multiply(X_32,inverse(X_32)))
| inverse(multiply(X_32,inverse(multiply(X_31,X_32)))) = X_31 ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(inverse(multiply(X_32,inverse(multiply(X_31,X_32)))))),bind(Y0,$fot(multiply(X_31,multiply(X_32,inverse(X_32))))),bind(Z0,$fot(X_31))]]) ).
cnf(refute_0_1401,plain,
( multiply(X_31,multiply(X_32,inverse(X_32))) != X_31
| inverse(multiply(X_32,inverse(multiply(X_31,X_32)))) = X_31 ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_32,inverse(multiply(X_31,X_32)))),multiply(X_31,multiply(X_32,inverse(X_32)))) )],[refute_0_1399,refute_0_1400]) ).
cnf(refute_0_1402,plain,
inverse(multiply(X_32,inverse(multiply(X_31,X_32)))) = X_31,
inference(resolve,[$cnf( $equal(multiply(X_31,multiply(X_32,inverse(X_32))),X_31) )],[refute_0_1394,refute_0_1401]) ).
cnf(refute_0_1403,plain,
multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32))))) = multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32))))),
introduced(tautology,[refl,[$fot(multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32))))))]]) ).
cnf(refute_0_1404,plain,
( multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32))))) != multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32)))))
| inverse(multiply(X_32,inverse(multiply(X_31,X_32)))) != X_31
| multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32))))) = multiply(X_31,X_31) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32))))),multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32)))))) ),[1,1],$fot(X_31)]]) ).
cnf(refute_0_1405,plain,
( inverse(multiply(X_32,inverse(multiply(X_31,X_32)))) != X_31
| multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32))))) = multiply(X_31,X_31) ),
inference(resolve,[$cnf( $equal(multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32))))),multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32)))))) )],[refute_0_1403,refute_0_1404]) ).
cnf(refute_0_1406,plain,
multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32))))) = multiply(X_31,X_31),
inference(resolve,[$cnf( $equal(inverse(multiply(X_32,inverse(multiply(X_31,X_32)))),X_31) )],[refute_0_1402,refute_0_1405]) ).
cnf(refute_0_1407,plain,
( multiply(X_31,X_31) != inverse(X_31)
| multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32))))) != multiply(X_31,X_31)
| multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32))))) = inverse(X_31) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32))))))),bind(Y0,$fot(multiply(X_31,X_31))),bind(Z0,$fot(inverse(X_31)))]]) ).
cnf(refute_0_1408,plain,
( multiply(X_31,X_31) != inverse(X_31)
| multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32))))) = inverse(X_31) ),
inference(resolve,[$cnf( $equal(multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32))))),multiply(X_31,X_31)) )],[refute_0_1406,refute_0_1407]) ).
cnf(refute_0_1409,plain,
multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32))))) = inverse(X_31),
inference(resolve,[$cnf( $equal(multiply(X_31,X_31),inverse(X_31)) )],[refute_0_1385,refute_0_1408]) ).
cnf(refute_0_1410,plain,
( multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32))))) != inverse(X_31)
| multiply(X_32,inverse(multiply(X_31,X_32))) != multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32)))))
| multiply(X_32,inverse(multiply(X_31,X_32))) = inverse(X_31) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_32,inverse(multiply(X_31,X_32))),multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32)))))) ),[1],$fot(inverse(X_31))]]) ).
cnf(refute_0_1411,plain,
( multiply(X_32,inverse(multiply(X_31,X_32))) != multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32)))))
| multiply(X_32,inverse(multiply(X_31,X_32))) = inverse(X_31) ),
inference(resolve,[$cnf( $equal(multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32))))),inverse(X_31)) )],[refute_0_1409,refute_0_1410]) ).
cnf(refute_0_1412,plain,
multiply(X_32,inverse(multiply(X_31,X_32))) = inverse(X_31),
inference(resolve,[$cnf( $equal(multiply(X_32,inverse(multiply(X_31,X_32))),multiply(X_31,inverse(multiply(X_32,inverse(multiply(X_31,X_32)))))) )],[refute_0_1384,refute_0_1411]) ).
cnf(refute_0_1413,plain,
multiply(X_94,inverse(multiply(X_84,X_94))) = inverse(X_84),
inference(subst,[],[refute_0_1412:[bind(X_31,$fot(X_84)),bind(X_32,$fot(X_94))]]) ).
cnf(refute_0_1414,plain,
multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84)) = inverse(multiply(X_84,X_94)),
inference(subst,[],[refute_0_1311:[bind(X_47,$fot(X_84)),bind(X_9,$fot(X_94))]]) ).
cnf(refute_0_1415,plain,
multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84))) = multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84))),
introduced(tautology,[refl,[$fot(multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84))))]]) ).
cnf(refute_0_1416,plain,
( multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84))) != multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84)))
| multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84)) != inverse(multiply(X_84,X_94))
| multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84))) = multiply(X_94,inverse(multiply(X_84,X_94))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84))),multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84)))) ),[1,1],$fot(inverse(multiply(X_84,X_94)))]]) ).
cnf(refute_0_1417,plain,
( multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84)) != inverse(multiply(X_84,X_94))
| multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84))) = multiply(X_94,inverse(multiply(X_84,X_94))) ),
inference(resolve,[$cnf( $equal(multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84))),multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84)))) )],[refute_0_1415,refute_0_1416]) ).
cnf(refute_0_1418,plain,
multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84))) = multiply(X_94,inverse(multiply(X_84,X_94))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84)),inverse(multiply(X_84,X_94))) )],[refute_0_1414,refute_0_1417]) ).
cnf(refute_0_1419,plain,
( multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84))) != multiply(X_94,inverse(multiply(X_84,X_94)))
| multiply(X_94,inverse(multiply(X_84,X_94))) != inverse(X_84)
| multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84))) = inverse(X_84) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84))))),bind(Y0,$fot(multiply(X_94,inverse(multiply(X_84,X_94))))),bind(Z0,$fot(inverse(X_84)))]]) ).
cnf(refute_0_1420,plain,
( multiply(X_94,inverse(multiply(X_84,X_94))) != inverse(X_84)
| multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84))) = inverse(X_84) ),
inference(resolve,[$cnf( $equal(multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84))),multiply(X_94,inverse(multiply(X_84,X_94)))) )],[refute_0_1418,refute_0_1419]) ).
cnf(refute_0_1421,plain,
multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84))) = inverse(X_84),
inference(resolve,[$cnf( $equal(multiply(X_94,inverse(multiply(X_84,X_94))),inverse(X_84)) )],[refute_0_1413,refute_0_1420]) ).
cnf(refute_0_1422,plain,
multiply(multiply(X_94,inverse(multiply(X_94,X_84))),commutator(X_94,X_84)) = multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84))),
inference(subst,[],[associativity:[bind(X,$fot(X_94)),bind(Y,$fot(inverse(multiply(X_94,X_84)))),bind(Z,$fot(commutator(X_94,X_84)))]]) ).
cnf(refute_0_1423,plain,
( multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84))) != inverse(X_84)
| multiply(multiply(X_94,inverse(multiply(X_94,X_84))),commutator(X_94,X_84)) != multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84)))
| multiply(multiply(X_94,inverse(multiply(X_94,X_84))),commutator(X_94,X_84)) = inverse(X_84) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(multiply(X_94,inverse(multiply(X_94,X_84))),commutator(X_94,X_84)))),bind(Y0,$fot(multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84))))),bind(Z0,$fot(inverse(X_84)))]]) ).
cnf(refute_0_1424,plain,
( multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84))) != inverse(X_84)
| multiply(multiply(X_94,inverse(multiply(X_94,X_84))),commutator(X_94,X_84)) = inverse(X_84) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_94,inverse(multiply(X_94,X_84))),commutator(X_94,X_84)),multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84)))) )],[refute_0_1422,refute_0_1423]) ).
cnf(refute_0_1425,plain,
multiply(multiply(X_94,inverse(multiply(X_94,X_84))),commutator(X_94,X_84)) = inverse(X_84),
inference(resolve,[$cnf( $equal(multiply(X_94,multiply(inverse(multiply(X_94,X_84)),commutator(X_94,X_84))),inverse(X_84)) )],[refute_0_1421,refute_0_1424]) ).
cnf(refute_0_1426,plain,
inverse(multiply(X_94,multiply(X_84,inverse(X_94)))) = multiply(X_94,inverse(multiply(X_94,X_84))),
inference(subst,[],[refute_0_1308:[bind(Y,$fot(X_94)),bind(X_92,$fot(X_94)),bind(X_93,$fot(X_84))]]) ).
cnf(refute_0_1427,plain,
multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)) = multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)))]]) ).
cnf(refute_0_1428,plain,
( multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)) != multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))
| inverse(multiply(X_94,multiply(X_84,inverse(X_94)))) != multiply(X_94,inverse(multiply(X_94,X_84)))
| multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)) = multiply(multiply(X_94,inverse(multiply(X_94,X_84))),commutator(X_94,X_84)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))) ),[1,0],$fot(multiply(X_94,inverse(multiply(X_94,X_84))))]]) ).
cnf(refute_0_1429,plain,
( inverse(multiply(X_94,multiply(X_84,inverse(X_94)))) != multiply(X_94,inverse(multiply(X_94,X_84)))
| multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)) = multiply(multiply(X_94,inverse(multiply(X_94,X_84))),commutator(X_94,X_84)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))) )],[refute_0_1427,refute_0_1428]) ).
cnf(refute_0_1430,plain,
multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)) = multiply(multiply(X_94,inverse(multiply(X_94,X_84))),commutator(X_94,X_84)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),multiply(X_94,inverse(multiply(X_94,X_84)))) )],[refute_0_1426,refute_0_1429]) ).
cnf(refute_0_1431,plain,
( multiply(multiply(X_94,inverse(multiply(X_94,X_84))),commutator(X_94,X_84)) != inverse(X_84)
| multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)) != multiply(multiply(X_94,inverse(multiply(X_94,X_84))),commutator(X_94,X_84))
| multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)) = inverse(X_84) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)))),bind(Y0,$fot(multiply(multiply(X_94,inverse(multiply(X_94,X_84))),commutator(X_94,X_84)))),bind(Z0,$fot(inverse(X_84)))]]) ).
cnf(refute_0_1432,plain,
( multiply(multiply(X_94,inverse(multiply(X_94,X_84))),commutator(X_94,X_84)) != inverse(X_84)
| multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)) = inverse(X_84) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)),multiply(multiply(X_94,inverse(multiply(X_94,X_84))),commutator(X_94,X_84))) )],[refute_0_1430,refute_0_1431]) ).
cnf(refute_0_1433,plain,
multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)) = inverse(X_84),
inference(resolve,[$cnf( $equal(multiply(multiply(X_94,inverse(multiply(X_94,X_84))),commutator(X_94,X_84)),inverse(X_84)) )],[refute_0_1425,refute_0_1432]) ).
cnf(refute_0_1434,plain,
commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))) = commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))))]]) ).
cnf(refute_0_1435,plain,
( multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)) != inverse(X_84)
| commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))) != commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)))
| commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))) = commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),inverse(X_84)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))),commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)))) ),[1,1],$fot(inverse(X_84))]]) ).
cnf(refute_0_1436,plain,
( multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)) != inverse(X_84)
| commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))) = commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),inverse(X_84)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))),commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)))) )],[refute_0_1434,refute_0_1435]) ).
cnf(refute_0_1437,plain,
commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))) = commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),inverse(X_84)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84)),inverse(X_84)) )],[refute_0_1433,refute_0_1436]) ).
cnf(refute_0_1438,plain,
( commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))) != commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),inverse(X_84))
| commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),inverse(X_84)) != commutator(X_84,commutator(X_84,commutator(X_94,X_84)))
| commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))) = commutator(X_84,commutator(X_84,commutator(X_94,X_84))) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))))),bind(Y0,$fot(commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),inverse(X_84)))),bind(Z0,$fot(commutator(X_84,commutator(X_84,commutator(X_94,X_84)))))]]) ).
cnf(refute_0_1439,plain,
( commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),inverse(X_84)) != commutator(X_84,commutator(X_84,commutator(X_94,X_84)))
| commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))) = commutator(X_84,commutator(X_84,commutator(X_94,X_84))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))),commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),inverse(X_84))) )],[refute_0_1437,refute_0_1438]) ).
cnf(refute_0_1440,plain,
commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))) = commutator(X_84,commutator(X_84,commutator(X_94,X_84))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),inverse(X_84)),commutator(X_84,commutator(X_84,commutator(X_94,X_84)))) )],[refute_0_1370,refute_0_1439]) ).
cnf(refute_0_1441,plain,
( commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))) != commutator(X_84,commutator(X_84,commutator(X_94,X_84)))
| commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))) != identity
| commutator(X_84,commutator(X_84,commutator(X_94,X_84))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))),identity) ),[0],$fot(commutator(X_84,commutator(X_84,commutator(X_94,X_84))))]]) ).
cnf(refute_0_1442,plain,
( commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))) != identity
| commutator(X_84,commutator(X_84,commutator(X_94,X_84))) = identity ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))),commutator(X_84,commutator(X_84,commutator(X_94,X_84)))) )],[refute_0_1440,refute_0_1441]) ).
cnf(refute_0_1443,plain,
commutator(X_84,commutator(X_84,commutator(X_94,X_84))) = identity,
inference(resolve,[$cnf( $equal(commutator(multiply(X_84,commutator(X_84,commutator(X_94,X_84))),multiply(inverse(multiply(X_94,multiply(X_84,inverse(X_94)))),commutator(X_94,X_84))),identity) )],[refute_0_1365,refute_0_1442]) ).
cnf(refute_0_1444,plain,
commutator(X_100,commutator(X_100,commutator(X_94,X_100))) = identity,
inference(subst,[],[refute_0_1443:[bind(X_84,$fot(X_100))]]) ).
cnf(refute_0_1445,plain,
( commutator(X_100,commutator(X_100,commutator(X_94,X_100))) != identity
| inverse(multiply(commutator(X_100,commutator(X_94,X_100)),commutator(X_100,commutator(X_100,commutator(X_94,X_100))))) != multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100)))))
| inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)) = multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(X_100,commutator(X_94,X_100)),commutator(X_100,commutator(X_100,commutator(X_94,X_100))))),multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100)))))) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_1446,plain,
( inverse(multiply(commutator(X_100,commutator(X_94,X_100)),commutator(X_100,commutator(X_100,commutator(X_94,X_100))))) != multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100)))))
| inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)) = multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))) ),
inference(resolve,[$cnf( $equal(commutator(X_100,commutator(X_100,commutator(X_94,X_100))),identity) )],[refute_0_1444,refute_0_1445]) ).
cnf(refute_0_1447,plain,
inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)) = multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_100,commutator(X_94,X_100)),commutator(X_100,commutator(X_100,commutator(X_94,X_100))))),multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100)))))) )],[refute_0_1319,refute_0_1446]) ).
cnf(refute_0_1448,plain,
commutator(commutator(X_94,X_100),X_100) = commutator(X_100,commutator(X_100,X_94)),
inference(subst,[],[refute_0_914:[bind(Y,$fot(X_94)),bind(X_38,$fot(X_100))]]) ).
cnf(refute_0_1449,plain,
inverse(commutator(X_100,commutator(X_94,X_100))) = commutator(commutator(X_94,X_100),X_100),
inference(subst,[],[refute_0_882:[bind(X_49,$fot(X_100)),bind(X_50,$fot(commutator(X_94,X_100)))]]) ).
cnf(refute_0_1450,plain,
( commutator(commutator(X_94,X_100),X_100) != commutator(X_100,commutator(X_100,X_94))
| inverse(commutator(X_100,commutator(X_94,X_100))) != commutator(commutator(X_94,X_100),X_100)
| inverse(commutator(X_100,commutator(X_94,X_100))) = commutator(X_100,commutator(X_100,X_94)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(inverse(commutator(X_100,commutator(X_94,X_100))))),bind(Y0,$fot(commutator(commutator(X_94,X_100),X_100))),bind(Z0,$fot(commutator(X_100,commutator(X_100,X_94))))]]) ).
cnf(refute_0_1451,plain,
( commutator(commutator(X_94,X_100),X_100) != commutator(X_100,commutator(X_100,X_94))
| inverse(commutator(X_100,commutator(X_94,X_100))) = commutator(X_100,commutator(X_100,X_94)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_100,commutator(X_94,X_100))),commutator(commutator(X_94,X_100),X_100)) )],[refute_0_1449,refute_0_1450]) ).
cnf(refute_0_1452,plain,
inverse(commutator(X_100,commutator(X_94,X_100))) = commutator(X_100,commutator(X_100,X_94)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_94,X_100),X_100),commutator(X_100,commutator(X_100,X_94))) )],[refute_0_1448,refute_0_1451]) ).
cnf(refute_0_1453,plain,
multiply(commutator(X_100,commutator(X_94,X_100)),identity) = commutator(X_100,commutator(X_94,X_100)),
inference(subst,[],[refute_0_49:[bind(X_13,$fot(commutator(X_100,commutator(X_94,X_100))))]]) ).
cnf(refute_0_1454,plain,
inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)) = inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)))]]) ).
cnf(refute_0_1455,plain,
( multiply(commutator(X_100,commutator(X_94,X_100)),identity) != commutator(X_100,commutator(X_94,X_100))
| inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)) != inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity))
| inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)) = inverse(commutator(X_100,commutator(X_94,X_100))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)),inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity))) ),[1,0],$fot(commutator(X_100,commutator(X_94,X_100)))]]) ).
cnf(refute_0_1456,plain,
( multiply(commutator(X_100,commutator(X_94,X_100)),identity) != commutator(X_100,commutator(X_94,X_100))
| inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)) = inverse(commutator(X_100,commutator(X_94,X_100))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)),inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity))) )],[refute_0_1454,refute_0_1455]) ).
cnf(refute_0_1457,plain,
inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)) = inverse(commutator(X_100,commutator(X_94,X_100))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_100,commutator(X_94,X_100)),identity),commutator(X_100,commutator(X_94,X_100))) )],[refute_0_1453,refute_0_1456]) ).
cnf(refute_0_1458,plain,
( inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)) != inverse(commutator(X_100,commutator(X_94,X_100)))
| inverse(commutator(X_100,commutator(X_94,X_100))) != commutator(X_100,commutator(X_100,X_94))
| inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)) = commutator(X_100,commutator(X_100,X_94)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)))),bind(Y0,$fot(inverse(commutator(X_100,commutator(X_94,X_100))))),bind(Z0,$fot(commutator(X_100,commutator(X_100,X_94))))]]) ).
cnf(refute_0_1459,plain,
( inverse(commutator(X_100,commutator(X_94,X_100))) != commutator(X_100,commutator(X_100,X_94))
| inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)) = commutator(X_100,commutator(X_100,X_94)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)),inverse(commutator(X_100,commutator(X_94,X_100)))) )],[refute_0_1457,refute_0_1458]) ).
cnf(refute_0_1460,plain,
inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)) = commutator(X_100,commutator(X_100,X_94)),
inference(resolve,[$cnf( $equal(inverse(commutator(X_100,commutator(X_94,X_100))),commutator(X_100,commutator(X_100,X_94))) )],[refute_0_1452,refute_0_1459]) ).
cnf(refute_0_1461,plain,
( inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)) != multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100)))))
| inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)) != commutator(X_100,commutator(X_100,X_94))
| commutator(X_100,commutator(X_100,X_94)) = multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)),multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100)))))) ),[0],$fot(commutator(X_100,commutator(X_100,X_94)))]]) ).
cnf(refute_0_1462,plain,
( inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)) != multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100)))))
| commutator(X_100,commutator(X_100,X_94)) = multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)),commutator(X_100,commutator(X_100,X_94))) )],[refute_0_1460,refute_0_1461]) ).
cnf(refute_0_1463,plain,
multiply(X_100,inverse(X_100)) = identity,
inference(subst,[],[refute_0_421:[bind(Y,$fot(X_100))]]) ).
cnf(refute_0_1464,plain,
multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),multiply(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41))))) = multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))),
inference(subst,[],[refute_0_1136:[bind(X_10,$fot(multiply(X_41,multiply(X_42,inverse(X_41))))),bind(X_26,$fot(inverse(X_42)))]]) ).
cnf(refute_0_1465,plain,
( multiply(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41)))) != commutator(inverse(X_42),X_41)
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),multiply(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41))))) != multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) = multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),multiply(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41))))),multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))) ),[0,1],$fot(commutator(inverse(X_42),X_41))]]) ).
cnf(refute_0_1466,plain,
( multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),multiply(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41))))) != multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) = multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) )],[refute_0_345,refute_0_1465]) ).
cnf(refute_0_1467,plain,
multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) = multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),multiply(inverse(X_42),multiply(X_41,multiply(X_42,inverse(X_41))))),multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))) )],[refute_0_1464,refute_0_1466]) ).
cnf(refute_0_1468,plain,
inverse(inverse(X_42)) = X_42,
inference(subst,[],[refute_0_63:[bind(X_10,$fot(X_42))]]) ).
cnf(refute_0_1469,plain,
commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))) = commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))),
introduced(tautology,[refl,[$fot(commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))]]) ).
cnf(refute_0_1470,plain,
( commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))) != commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))
| inverse(inverse(X_42)) != X_42
| commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))) = commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) ),[1,0],$fot(X_42)]]) ).
cnf(refute_0_1471,plain,
( inverse(inverse(X_42)) != X_42
| commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))) = commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41))))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) )],[refute_0_1469,refute_0_1470]) ).
cnf(refute_0_1472,plain,
commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))) = commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41))))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_42)),X_42) )],[refute_0_1468,refute_0_1471]) ).
cnf(refute_0_1473,plain,
multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) = multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))))]]) ).
cnf(refute_0_1474,plain,
( multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) != multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))
| commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))) != commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))
| multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) = multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))),multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))) ),[1,1],$fot(commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))]]) ).
cnf(refute_0_1475,plain,
( commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))) != commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))
| multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) = multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))),multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))) )],[refute_0_1473,refute_0_1474]) ).
cnf(refute_0_1476,plain,
multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) = multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) )],[refute_0_1472,refute_0_1475]) ).
cnf(refute_0_1477,plain,
( multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) != multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) != multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) = multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)),multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))) ),[1],$fot(multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))))]]) ).
cnf(refute_0_1478,plain,
( multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) != multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) = multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))),multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))) )],[refute_0_1476,refute_0_1477]) ).
cnf(refute_0_1479,plain,
multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) = multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)),multiply(inverse(X_42),commutator(inverse(inverse(X_42)),inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))) )],[refute_0_1467,refute_0_1478]) ).
cnf(refute_0_1480,plain,
commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41))))) = commutator(commutator(X_42,X_41),inverse(X_42)),
inference(subst,[],[refute_0_532:[bind(Y,$fot(X_41)),bind(X_45,$fot(X_42))]]) ).
cnf(refute_0_1481,plain,
multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) = multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))))]]) ).
cnf(refute_0_1482,plain,
( multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) != multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))
| commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41))))) != commutator(commutator(X_42,X_41),inverse(X_42))
| multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) = multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))),multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))) ),[1,1],$fot(commutator(commutator(X_42,X_41),inverse(X_42)))]]) ).
cnf(refute_0_1483,plain,
( commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41))))) != commutator(commutator(X_42,X_41),inverse(X_42))
| multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) = multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))),multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))) )],[refute_0_1481,refute_0_1482]) ).
cnf(refute_0_1484,plain,
multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) = multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))),
inference(resolve,[$cnf( $equal(commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41))))),commutator(commutator(X_42,X_41),inverse(X_42))) )],[refute_0_1480,refute_0_1483]) ).
cnf(refute_0_1485,plain,
( multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))) != multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42)))
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) != multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) = multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)),multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))) ),[1],$fot(multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))))]]) ).
cnf(refute_0_1486,plain,
( multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) != multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) = multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41)))))),multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42)))) )],[refute_0_1484,refute_0_1485]) ).
cnf(refute_0_1487,plain,
multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) = multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)),multiply(inverse(X_42),commutator(X_42,inverse(multiply(X_41,multiply(X_42,inverse(X_41))))))) )],[refute_0_1479,refute_0_1486]) ).
cnf(refute_0_1488,plain,
multiply(inverse(X_42),commutator(X_42,commutator(X_42,X_41))) = inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))),
inference(subst,[],[refute_0_1049:[bind(X_54,$fot(commutator(X_42,X_41))),bind(X_62,$fot(X_42))]]) ).
cnf(refute_0_1489,plain,
commutator(commutator(X_42,X_41),inverse(X_42)) = commutator(X_42,commutator(X_42,X_41)),
inference(subst,[],[refute_0_669:[bind(X_58,$fot(X_42)),bind(X_9,$fot(commutator(X_42,X_41)))]]) ).
cnf(refute_0_1490,plain,
multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))) = multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))))]]) ).
cnf(refute_0_1491,plain,
( multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))) != multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42)))
| commutator(commutator(X_42,X_41),inverse(X_42)) != commutator(X_42,commutator(X_42,X_41))
| multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))) = multiply(inverse(X_42),commutator(X_42,commutator(X_42,X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))),multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42)))) ),[1,1],$fot(commutator(X_42,commutator(X_42,X_41)))]]) ).
cnf(refute_0_1492,plain,
( commutator(commutator(X_42,X_41),inverse(X_42)) != commutator(X_42,commutator(X_42,X_41))
| multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))) = multiply(inverse(X_42),commutator(X_42,commutator(X_42,X_41))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))),multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42)))) )],[refute_0_1490,refute_0_1491]) ).
cnf(refute_0_1493,plain,
multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))) = multiply(inverse(X_42),commutator(X_42,commutator(X_42,X_41))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_42,X_41),inverse(X_42)),commutator(X_42,commutator(X_42,X_41))) )],[refute_0_1489,refute_0_1492]) ).
cnf(refute_0_1494,plain,
( multiply(inverse(X_42),commutator(X_42,commutator(X_42,X_41))) != inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42)))
| multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))) != multiply(inverse(X_42),commutator(X_42,commutator(X_42,X_41)))
| multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))) = inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))))),bind(Y0,$fot(multiply(inverse(X_42),commutator(X_42,commutator(X_42,X_41))))),bind(Z0,$fot(inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42)))))]]) ).
cnf(refute_0_1495,plain,
( multiply(inverse(X_42),commutator(X_42,commutator(X_42,X_41))) != inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42)))
| multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))) = inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))),multiply(inverse(X_42),commutator(X_42,commutator(X_42,X_41)))) )],[refute_0_1493,refute_0_1494]) ).
cnf(refute_0_1496,plain,
multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))) = inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_42),commutator(X_42,commutator(X_42,X_41))),inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42)))) )],[refute_0_1488,refute_0_1495]) ).
cnf(refute_0_1497,plain,
( multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))) != inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42)))
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) != multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42)))
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) = inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)),multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42)))) ),[1],$fot(inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))))]]) ).
cnf(refute_0_1498,plain,
( multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) != multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42)))
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) = inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42))),inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42)))) )],[refute_0_1496,refute_0_1497]) ).
cnf(refute_0_1499,plain,
multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) = inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)),multiply(inverse(X_42),commutator(commutator(X_42,X_41),inverse(X_42)))) )],[refute_0_1487,refute_0_1498]) ).
cnf(refute_0_1500,plain,
commutator(inverse(X_42),X_41) = commutator(X_41,X_42),
inference(subst,[],[refute_0_897:[bind(X_78,$fot(X_41)),bind(X_79,$fot(X_42))]]) ).
cnf(refute_0_1501,plain,
multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) = multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)))]]) ).
cnf(refute_0_1502,plain,
( multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) != multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41))
| commutator(inverse(X_42),X_41) != commutator(X_41,X_42)
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) = multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)),multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41))) ),[1,1],$fot(commutator(X_41,X_42))]]) ).
cnf(refute_0_1503,plain,
( commutator(inverse(X_42),X_41) != commutator(X_41,X_42)
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) = multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)),multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41))) )],[refute_0_1501,refute_0_1502]) ).
cnf(refute_0_1504,plain,
multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) = multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_42),X_41),commutator(X_41,X_42)) )],[refute_0_1500,refute_0_1503]) ).
cnf(refute_0_1505,plain,
( multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) != multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42))
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) != inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42)))
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) = inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)),inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42)))) ),[0],$fot(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)))]]) ).
cnf(refute_0_1506,plain,
( multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) != inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42)))
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) = inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)),multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42))) )],[refute_0_1504,refute_0_1505]) ).
cnf(refute_0_1507,plain,
commutator(commutator(inverse(X_38),inverse(X_10)),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))) = commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))),
inference(subst,[],[refute_0_115:[bind(X_34,$fot(commutator(inverse(X_38),inverse(X_10)))),bind(X_35,$fot(X_38))]]) ).
cnf(refute_0_1508,plain,
multiply(inverse(X_10),multiply(X_38,X_10)) = multiply(X_38,commutator(inverse(X_38),inverse(X_10))),
inference(subst,[],[refute_0_1136:[bind(X_26,$fot(X_38))]]) ).
cnf(refute_0_1509,plain,
( multiply(inverse(X_10),multiply(X_38,X_10)) != multiply(X_38,commutator(inverse(X_38),inverse(X_10)))
| multiply(X_38,commutator(inverse(X_38),inverse(X_10))) = multiply(inverse(X_10),multiply(X_38,X_10)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(inverse(X_10),multiply(X_38,X_10)))),bind(Y0,$fot(multiply(X_38,commutator(inverse(X_38),inverse(X_10)))))]]) ).
cnf(refute_0_1510,plain,
multiply(X_38,commutator(inverse(X_38),inverse(X_10))) = multiply(inverse(X_10),multiply(X_38,X_10)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),multiply(X_38,X_10)),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))) )],[refute_0_1508,refute_0_1509]) ).
cnf(refute_0_1511,plain,
( multiply(X_38,commutator(inverse(X_38),inverse(X_10))) != multiply(inverse(X_10),multiply(X_38,X_10))
| commutator(commutator(inverse(X_38),inverse(X_10)),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))) != commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),inverse(X_10))))
| commutator(commutator(inverse(X_38),inverse(X_10)),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))) = commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(inverse(X_38),inverse(X_10)),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))),commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),inverse(X_10))))) ),[1,1],$fot(multiply(inverse(X_10),multiply(X_38,X_10)))]]) ).
cnf(refute_0_1512,plain,
( commutator(commutator(inverse(X_38),inverse(X_10)),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))) != commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),inverse(X_10))))
| commutator(commutator(inverse(X_38),inverse(X_10)),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))) = commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(X_38,commutator(inverse(X_38),inverse(X_10))),multiply(inverse(X_10),multiply(X_38,X_10))) )],[refute_0_1510,refute_0_1511]) ).
cnf(refute_0_1513,plain,
commutator(commutator(inverse(X_38),inverse(X_10)),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))) = commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))),
inference(resolve,[$cnf( $equal(commutator(commutator(inverse(X_38),inverse(X_10)),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))),commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),inverse(X_10))))) )],[refute_0_1507,refute_0_1512]) ).
cnf(refute_0_1514,plain,
( commutator(commutator(inverse(X_38),inverse(X_10)),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))) != commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),inverse(X_10))))
| commutator(commutator(inverse(X_38),inverse(X_10)),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))) != commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10)))
| commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))) = commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(inverse(X_38),inverse(X_10)),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))),commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10)))) ),[0],$fot(commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))))]]) ).
cnf(refute_0_1515,plain,
( commutator(commutator(inverse(X_38),inverse(X_10)),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))) != commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10)))
| commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))) = commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(inverse(X_38),inverse(X_10)),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))),commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),inverse(X_10))))) )],[refute_0_1507,refute_0_1514]) ).
cnf(refute_0_1516,plain,
commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))) = commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))),
inference(resolve,[$cnf( $equal(commutator(commutator(inverse(X_38),inverse(X_10)),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))),commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10)))) )],[refute_0_1513,refute_0_1515]) ).
cnf(refute_0_1517,plain,
commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))) = commutator(commutator(inverse(X_38),inverse(X_10)),X_38),
inference(subst,[],[refute_0_468:[bind(X_53,$fot(X_38)),bind(X_54,$fot(commutator(inverse(X_38),inverse(X_10))))]]) ).
cnf(refute_0_1518,plain,
( commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))) != commutator(commutator(inverse(X_38),inverse(X_10)),X_38)
| commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))) != commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10)))
| commutator(commutator(inverse(X_38),inverse(X_10)),X_38) = commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))),commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10)))) ),[0],$fot(commutator(commutator(inverse(X_38),inverse(X_10)),X_38))]]) ).
cnf(refute_0_1519,plain,
( commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))) != commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10)))
| commutator(commutator(inverse(X_38),inverse(X_10)),X_38) = commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))),commutator(commutator(inverse(X_38),inverse(X_10)),X_38)) )],[refute_0_1517,refute_0_1518]) ).
cnf(refute_0_1520,plain,
commutator(commutator(inverse(X_38),inverse(X_10)),X_38) = commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))),
inference(resolve,[$cnf( $equal(commutator(inverse(X_38),multiply(X_38,commutator(inverse(X_38),inverse(X_10)))),commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10)))) )],[refute_0_1516,refute_0_1519]) ).
cnf(refute_0_1521,plain,
commutator(X_10,inverse(X_38)) = commutator(X_38,X_10),
inference(subst,[],[refute_0_669:[bind(X_58,$fot(X_38)),bind(X_9,$fot(X_10))]]) ).
cnf(refute_0_1522,plain,
commutator(inverse(X_38),inverse(X_10)) = commutator(X_10,inverse(X_38)),
inference(subst,[],[refute_0_669:[bind(X_58,$fot(X_10)),bind(X_9,$fot(inverse(X_38)))]]) ).
cnf(refute_0_1523,plain,
( commutator(X_10,inverse(X_38)) != commutator(X_38,X_10)
| commutator(inverse(X_38),inverse(X_10)) != commutator(X_10,inverse(X_38))
| commutator(inverse(X_38),inverse(X_10)) = commutator(X_38,X_10) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(commutator(inverse(X_38),inverse(X_10)))),bind(Y0,$fot(commutator(X_10,inverse(X_38)))),bind(Z0,$fot(commutator(X_38,X_10)))]]) ).
cnf(refute_0_1524,plain,
( commutator(X_10,inverse(X_38)) != commutator(X_38,X_10)
| commutator(inverse(X_38),inverse(X_10)) = commutator(X_38,X_10) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_38),inverse(X_10)),commutator(X_10,inverse(X_38))) )],[refute_0_1522,refute_0_1523]) ).
cnf(refute_0_1525,plain,
commutator(inverse(X_38),inverse(X_10)) = commutator(X_38,X_10),
inference(resolve,[$cnf( $equal(commutator(X_10,inverse(X_38)),commutator(X_38,X_10)) )],[refute_0_1521,refute_0_1524]) ).
cnf(refute_0_1526,plain,
commutator(commutator(inverse(X_38),inverse(X_10)),X_38) = commutator(commutator(inverse(X_38),inverse(X_10)),X_38),
introduced(tautology,[refl,[$fot(commutator(commutator(inverse(X_38),inverse(X_10)),X_38))]]) ).
cnf(refute_0_1527,plain,
( commutator(commutator(inverse(X_38),inverse(X_10)),X_38) != commutator(commutator(inverse(X_38),inverse(X_10)),X_38)
| commutator(inverse(X_38),inverse(X_10)) != commutator(X_38,X_10)
| commutator(commutator(inverse(X_38),inverse(X_10)),X_38) = commutator(commutator(X_38,X_10),X_38) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(inverse(X_38),inverse(X_10)),X_38),commutator(commutator(inverse(X_38),inverse(X_10)),X_38)) ),[1,0],$fot(commutator(X_38,X_10))]]) ).
cnf(refute_0_1528,plain,
( commutator(inverse(X_38),inverse(X_10)) != commutator(X_38,X_10)
| commutator(commutator(inverse(X_38),inverse(X_10)),X_38) = commutator(commutator(X_38,X_10),X_38) ),
inference(resolve,[$cnf( $equal(commutator(commutator(inverse(X_38),inverse(X_10)),X_38),commutator(commutator(inverse(X_38),inverse(X_10)),X_38)) )],[refute_0_1526,refute_0_1527]) ).
cnf(refute_0_1529,plain,
commutator(commutator(inverse(X_38),inverse(X_10)),X_38) = commutator(commutator(X_38,X_10),X_38),
inference(resolve,[$cnf( $equal(commutator(inverse(X_38),inverse(X_10)),commutator(X_38,X_10)) )],[refute_0_1525,refute_0_1528]) ).
cnf(refute_0_1530,plain,
( commutator(commutator(inverse(X_38),inverse(X_10)),X_38) != commutator(commutator(X_38,X_10),X_38)
| commutator(commutator(inverse(X_38),inverse(X_10)),X_38) != commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10)))
| commutator(commutator(X_38,X_10),X_38) = commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(inverse(X_38),inverse(X_10)),X_38),commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10)))) ),[0],$fot(commutator(commutator(X_38,X_10),X_38))]]) ).
cnf(refute_0_1531,plain,
( commutator(commutator(inverse(X_38),inverse(X_10)),X_38) != commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10)))
| commutator(commutator(X_38,X_10),X_38) = commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(inverse(X_38),inverse(X_10)),X_38),commutator(commutator(X_38,X_10),X_38)) )],[refute_0_1529,refute_0_1530]) ).
cnf(refute_0_1532,plain,
commutator(commutator(X_38,X_10),X_38) = commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))),
inference(resolve,[$cnf( $equal(commutator(commutator(inverse(X_38),inverse(X_10)),X_38),commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10)))) )],[refute_0_1520,refute_0_1531]) ).
cnf(refute_0_1533,plain,
commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) = commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))),
inference(subst,[],[refute_0_476:[bind(X_10,$fot(X_45)),bind(X_37,$fot(commutator(inverse(inverse(X_45)),inverse(X_10))))]]) ).
cnf(refute_0_1534,plain,
multiply(inverse(X_10),multiply(inverse(X_45),X_10)) = multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))),
inference(subst,[],[refute_0_1136:[bind(X_26,$fot(inverse(X_45)))]]) ).
cnf(refute_0_1535,plain,
( multiply(inverse(X_10),multiply(inverse(X_45),X_10)) != multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))
| multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))) = multiply(inverse(X_10),multiply(inverse(X_45),X_10)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(inverse(X_10),multiply(inverse(X_45),X_10)))),bind(Y0,$fot(multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))))]]) ).
cnf(refute_0_1536,plain,
multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))) = multiply(inverse(X_10),multiply(inverse(X_45),X_10)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),multiply(inverse(X_45),X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) )],[refute_0_1534,refute_0_1535]) ).
cnf(refute_0_1537,plain,
( multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))) != multiply(inverse(X_10),multiply(inverse(X_45),X_10))
| commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) != commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))))
| commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) = commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))),commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))))) ),[1,1],$fot(multiply(inverse(X_10),multiply(inverse(X_45),X_10)))]]) ).
cnf(refute_0_1538,plain,
( commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) != commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))))
| commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) = commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))),multiply(inverse(X_10),multiply(inverse(X_45),X_10))) )],[refute_0_1536,refute_0_1537]) ).
cnf(refute_0_1539,plain,
commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) = commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10))),
inference(resolve,[$cnf( $equal(commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))),commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))))) )],[refute_0_1533,refute_0_1538]) ).
cnf(refute_0_1540,plain,
commutator(inverse(inverse(X_45)),inverse(X_10)) = commutator(inverse(inverse(X_45)),inverse(X_10)),
introduced(tautology,[refl,[$fot(commutator(inverse(inverse(X_45)),inverse(X_10)))]]) ).
cnf(refute_0_1541,plain,
( commutator(inverse(inverse(X_45)),inverse(X_10)) != commutator(inverse(inverse(X_45)),inverse(X_10))
| inverse(inverse(X_45)) != X_45
| commutator(inverse(inverse(X_45)),inverse(X_10)) = commutator(X_45,inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(X_45)),inverse(X_10)),commutator(inverse(inverse(X_45)),inverse(X_10))) ),[1,0],$fot(X_45)]]) ).
cnf(refute_0_1542,plain,
( inverse(inverse(X_45)) != X_45
| commutator(inverse(inverse(X_45)),inverse(X_10)) = commutator(X_45,inverse(X_10)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_45)),inverse(X_10)),commutator(inverse(inverse(X_45)),inverse(X_10))) )],[refute_0_1540,refute_0_1541]) ).
cnf(refute_0_1543,plain,
commutator(inverse(inverse(X_45)),inverse(X_10)) = commutator(X_45,inverse(X_10)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_45)),X_45) )],[refute_0_489,refute_0_1542]) ).
cnf(refute_0_1544,plain,
multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))) = multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))))]]) ).
cnf(refute_0_1545,plain,
( multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))) != multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))
| commutator(inverse(inverse(X_45)),inverse(X_10)) != commutator(X_45,inverse(X_10))
| multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))) = multiply(inverse(X_45),commutator(X_45,inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) ),[1,1],$fot(commutator(X_45,inverse(X_10)))]]) ).
cnf(refute_0_1546,plain,
( commutator(inverse(inverse(X_45)),inverse(X_10)) != commutator(X_45,inverse(X_10))
| multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))) = multiply(inverse(X_45),commutator(X_45,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) )],[refute_0_1544,refute_0_1545]) ).
cnf(refute_0_1547,plain,
multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))) = multiply(inverse(X_45),commutator(X_45,inverse(X_10))),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_45)),inverse(X_10)),commutator(X_45,inverse(X_10))) )],[refute_0_1543,refute_0_1546]) ).
cnf(refute_0_1548,plain,
commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) = commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))),
introduced(tautology,[refl,[$fot(commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))))]]) ).
cnf(refute_0_1549,plain,
( multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))) != multiply(inverse(X_45),commutator(X_45,inverse(X_10)))
| commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) != commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))))
| commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) = commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))),commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))))) ),[1,1],$fot(multiply(inverse(X_45),commutator(X_45,inverse(X_10))))]]) ).
cnf(refute_0_1550,plain,
( multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))) != multiply(inverse(X_45),commutator(X_45,inverse(X_10)))
| commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) = commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))) ),
inference(resolve,[$cnf( $equal(commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))),commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))))) )],[refute_0_1548,refute_0_1549]) ).
cnf(refute_0_1551,plain,
commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) = commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))),multiply(inverse(X_45),commutator(X_45,inverse(X_10)))) )],[refute_0_1547,refute_0_1550]) ).
cnf(refute_0_1552,plain,
( commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) != commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10))))
| commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) != commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))))
| commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) = commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))))),bind(Y0,$fot(commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))))),bind(Z0,$fot(commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10))))))]]) ).
cnf(refute_0_1553,plain,
( commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) != commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10))))
| commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) = commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))),commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10))))) )],[refute_0_1533,refute_0_1552]) ).
cnf(refute_0_1554,plain,
commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) = commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))),
inference(resolve,[$cnf( $equal(commutator(X_45,multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))),commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10))))) )],[refute_0_1551,refute_0_1553]) ).
cnf(refute_0_1555,plain,
( commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) != commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10)))
| commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) != commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10))))
| commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))) = commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))),commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10)))) ),[0],$fot(commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))))]]) ).
cnf(refute_0_1556,plain,
( commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) != commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10)))
| commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))) = commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))),commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10))))) )],[refute_0_1554,refute_0_1555]) ).
cnf(refute_0_1557,plain,
inverse(multiply(inverse(X_29),multiply(X_30,X_29))) = multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(inverse(X_29),multiply(X_30,X_29)))),
inference(subst,[],[refute_0_365:[bind(X,$fot(inverse(X_29))),bind(Y,$fot(multiply(X_30,X_29)))]]) ).
cnf(refute_0_1558,plain,
multiply(inverse(X_29),multiply(X_30,X_29)) = multiply(X_30,commutator(inverse(X_30),inverse(X_29))),
inference(subst,[],[refute_0_1136:[bind(X_10,$fot(X_29)),bind(X_26,$fot(X_30))]]) ).
cnf(refute_0_1559,plain,
( multiply(inverse(X_29),multiply(X_30,X_29)) != multiply(X_30,commutator(inverse(X_30),inverse(X_29)))
| inverse(multiply(inverse(X_29),multiply(X_30,X_29))) != multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(inverse(X_29),multiply(X_30,X_29))))
| inverse(multiply(inverse(X_29),multiply(X_30,X_29))) = multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_29),multiply(X_30,X_29))),multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(inverse(X_29),multiply(X_30,X_29))))) ),[1,1,1],$fot(multiply(X_30,commutator(inverse(X_30),inverse(X_29))))]]) ).
cnf(refute_0_1560,plain,
( inverse(multiply(inverse(X_29),multiply(X_30,X_29))) != multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(inverse(X_29),multiply(X_30,X_29))))
| inverse(multiply(inverse(X_29),multiply(X_30,X_29))) = multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_29),multiply(X_30,X_29)),multiply(X_30,commutator(inverse(X_30),inverse(X_29)))) )],[refute_0_1558,refute_0_1559]) ).
cnf(refute_0_1561,plain,
inverse(multiply(inverse(X_29),multiply(X_30,X_29))) = multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29))))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_29),multiply(X_30,X_29))),multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(inverse(X_29),multiply(X_30,X_29))))) )],[refute_0_1557,refute_0_1560]) ).
cnf(refute_0_1562,plain,
multiply(X_30,multiply(X_30,X_29)) = multiply(inverse(X_30),X_29),
inference(subst,[],[refute_0_377:[bind(Y,$fot(X_30)),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_1563,plain,
( multiply(X_26,X_8) != multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8))))
| multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8)))) = multiply(X_26,X_8) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(X_26,X_8))),bind(Y0,$fot(multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8))))))]]) ).
cnf(refute_0_1564,plain,
multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8)))) = multiply(X_26,X_8),
inference(resolve,[$cnf( $equal(multiply(X_26,X_8),multiply(X_8,multiply(X_26,commutator(inverse(X_26),inverse(X_8))))) )],[refute_0_1083,refute_0_1563]) ).
cnf(refute_0_1565,plain,
multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29)))) = multiply(X_30,X_29),
inference(subst,[],[refute_0_1564:[bind(X_26,$fot(X_30)),bind(X_8,$fot(X_29))]]) ).
cnf(refute_0_1566,plain,
multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29))))) = multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29))))),
introduced(tautology,[refl,[$fot(multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29))))))]]) ).
cnf(refute_0_1567,plain,
( multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29)))) != multiply(X_30,X_29)
| multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29))))) != multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29)))))
| multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29))))) = multiply(X_30,multiply(X_30,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29))))),multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29)))))) ),[1,1],$fot(multiply(X_30,X_29))]]) ).
cnf(refute_0_1568,plain,
( multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29)))) != multiply(X_30,X_29)
| multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29))))) = multiply(X_30,multiply(X_30,X_29)) ),
inference(resolve,[$cnf( $equal(multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29))))),multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29)))))) )],[refute_0_1566,refute_0_1567]) ).
cnf(refute_0_1569,plain,
multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29))))) = multiply(X_30,multiply(X_30,X_29)),
inference(resolve,[$cnf( $equal(multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29)))),multiply(X_30,X_29)) )],[refute_0_1565,refute_0_1568]) ).
cnf(refute_0_1570,plain,
( multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29))))) != multiply(X_30,multiply(X_30,X_29))
| multiply(X_30,multiply(X_30,X_29)) != multiply(inverse(X_30),X_29)
| multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29))))) = multiply(inverse(X_30),X_29) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29))))))),bind(Y0,$fot(multiply(X_30,multiply(X_30,X_29)))),bind(Z0,$fot(multiply(inverse(X_30),X_29)))]]) ).
cnf(refute_0_1571,plain,
( multiply(X_30,multiply(X_30,X_29)) != multiply(inverse(X_30),X_29)
| multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29))))) = multiply(inverse(X_30),X_29) ),
inference(resolve,[$cnf( $equal(multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29))))),multiply(X_30,multiply(X_30,X_29))) )],[refute_0_1569,refute_0_1570]) ).
cnf(refute_0_1572,plain,
multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29))))) = multiply(inverse(X_30),X_29),
inference(resolve,[$cnf( $equal(multiply(X_30,multiply(X_30,X_29)),multiply(inverse(X_30),X_29)) )],[refute_0_1562,refute_0_1571]) ).
cnf(refute_0_1573,plain,
multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29)))) = multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29))))),
inference(subst,[],[associativity:[bind(X,$fot(X_30)),bind(Y,$fot(X_29)),bind(Z,$fot(multiply(X_30,commutator(inverse(X_30),inverse(X_29)))))]]) ).
cnf(refute_0_1574,plain,
( multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29))))) != multiply(inverse(X_30),X_29)
| multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29)))) != multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29)))))
| multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29)))) = multiply(inverse(X_30),X_29) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29)))))),bind(Y0,$fot(multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29))))))),bind(Z0,$fot(multiply(inverse(X_30),X_29)))]]) ).
cnf(refute_0_1575,plain,
( multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29))))) != multiply(inverse(X_30),X_29)
| multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29)))) = multiply(inverse(X_30),X_29) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29)))),multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29)))))) )],[refute_0_1573,refute_0_1574]) ).
cnf(refute_0_1576,plain,
multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29)))) = multiply(inverse(X_30),X_29),
inference(resolve,[$cnf( $equal(multiply(X_30,multiply(X_29,multiply(X_30,commutator(inverse(X_30),inverse(X_29))))),multiply(inverse(X_30),X_29)) )],[refute_0_1572,refute_0_1575]) ).
cnf(refute_0_1577,plain,
multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29))))) = multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29))))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29))))))]]) ).
cnf(refute_0_1578,plain,
( multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29)))) != multiply(inverse(X_30),X_29)
| multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29))))) != multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29)))))
| multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29))))) = multiply(inverse(X_29),multiply(inverse(X_30),X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29))))),multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29)))))) ),[1,1],$fot(multiply(inverse(X_30),X_29))]]) ).
cnf(refute_0_1579,plain,
( multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29)))) != multiply(inverse(X_30),X_29)
| multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29))))) = multiply(inverse(X_29),multiply(inverse(X_30),X_29)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29))))),multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29)))))) )],[refute_0_1577,refute_0_1578]) ).
cnf(refute_0_1580,plain,
multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29))))) = multiply(inverse(X_29),multiply(inverse(X_30),X_29)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29)))),multiply(inverse(X_30),X_29)) )],[refute_0_1576,refute_0_1579]) ).
cnf(refute_0_1581,plain,
( multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29))))) != multiply(inverse(X_29),multiply(inverse(X_30),X_29))
| inverse(multiply(inverse(X_29),multiply(X_30,X_29))) != multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29)))))
| inverse(multiply(inverse(X_29),multiply(X_30,X_29))) = multiply(inverse(X_29),multiply(inverse(X_30),X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_29),multiply(X_30,X_29))),multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29)))))) ),[1],$fot(multiply(inverse(X_29),multiply(inverse(X_30),X_29)))]]) ).
cnf(refute_0_1582,plain,
( inverse(multiply(inverse(X_29),multiply(X_30,X_29))) != multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29)))))
| inverse(multiply(inverse(X_29),multiply(X_30,X_29))) = multiply(inverse(X_29),multiply(inverse(X_30),X_29)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29))))),multiply(inverse(X_29),multiply(inverse(X_30),X_29))) )],[refute_0_1580,refute_0_1581]) ).
cnf(refute_0_1583,plain,
inverse(multiply(inverse(X_29),multiply(X_30,X_29))) = multiply(inverse(X_29),multiply(inverse(X_30),X_29)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_29),multiply(X_30,X_29))),multiply(inverse(X_29),multiply(multiply(X_30,X_29),multiply(X_30,commutator(inverse(X_30),inverse(X_29)))))) )],[refute_0_1561,refute_0_1582]) ).
cnf(refute_0_1584,plain,
( inverse(multiply(inverse(X_29),multiply(X_30,X_29))) != multiply(inverse(X_29),multiply(inverse(X_30),X_29))
| multiply(inverse(X_29),multiply(inverse(X_30),X_29)) = inverse(multiply(inverse(X_29),multiply(X_30,X_29))) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(inverse(multiply(inverse(X_29),multiply(X_30,X_29))))),bind(Y0,$fot(multiply(inverse(X_29),multiply(inverse(X_30),X_29))))]]) ).
cnf(refute_0_1585,plain,
multiply(inverse(X_29),multiply(inverse(X_30),X_29)) = inverse(multiply(inverse(X_29),multiply(X_30,X_29))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_29),multiply(X_30,X_29))),multiply(inverse(X_29),multiply(inverse(X_30),X_29))) )],[refute_0_1583,refute_0_1584]) ).
cnf(refute_0_1586,plain,
multiply(inverse(X_10),multiply(inverse(X_45),X_10)) = inverse(multiply(inverse(X_10),multiply(X_45,X_10))),
inference(subst,[],[refute_0_1585:[bind(X_29,$fot(X_10)),bind(X_30,$fot(X_45))]]) ).
cnf(refute_0_1587,plain,
commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10))) = commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10))),
introduced(tautology,[refl,[$fot(commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10))))]]) ).
cnf(refute_0_1588,plain,
( multiply(inverse(X_10),multiply(inverse(X_45),X_10)) != inverse(multiply(inverse(X_10),multiply(X_45,X_10)))
| commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10))) != commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10)))
| commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10))) = commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10))),commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10)))) ),[1,1],$fot(inverse(multiply(inverse(X_10),multiply(X_45,X_10))))]]) ).
cnf(refute_0_1589,plain,
( multiply(inverse(X_10),multiply(inverse(X_45),X_10)) != inverse(multiply(inverse(X_10),multiply(X_45,X_10)))
| commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10))) = commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10)))) ),
inference(resolve,[$cnf( $equal(commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10))),commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10)))) )],[refute_0_1587,refute_0_1588]) ).
cnf(refute_0_1590,plain,
commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10))) = commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),multiply(inverse(X_45),X_10)),inverse(multiply(inverse(X_10),multiply(X_45,X_10)))) )],[refute_0_1586,refute_0_1589]) ).
cnf(refute_0_1591,plain,
( commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10))) != commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10))))
| commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))) != commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10)))
| commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))) = commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))),commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10)))) ),[1],$fot(commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10)))))]]) ).
cnf(refute_0_1592,plain,
( commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))) != commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10)))
| commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))) = commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10)))) ),
inference(resolve,[$cnf( $equal(commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10))),commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10))))) )],[refute_0_1590,refute_0_1591]) ).
cnf(refute_0_1593,plain,
( commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))) != commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10)))
| commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))) = commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10)))) ),
inference(resolve,[$cnf( $equal(commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))),commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10)))) )],[refute_0_1556,refute_0_1592]) ).
cnf(refute_0_1594,plain,
commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))) = commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10)))),
inference(resolve,[$cnf( $equal(commutator(commutator(inverse(inverse(X_45)),inverse(X_10)),multiply(inverse(X_45),commutator(inverse(inverse(X_45)),inverse(X_10)))),commutator(X_45,multiply(inverse(X_10),multiply(inverse(X_45),X_10)))) )],[refute_0_1539,refute_0_1593]) ).
cnf(refute_0_1595,plain,
commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))) = commutator(commutator(X_45,inverse(X_10)),inverse(X_45)),
inference(subst,[],[refute_0_528:[bind(X_10,$fot(X_45)),bind(X_37,$fot(commutator(X_45,inverse(X_10))))]]) ).
cnf(refute_0_1596,plain,
( commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))) != commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10))))
| commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))) != commutator(commutator(X_45,inverse(X_10)),inverse(X_45))
| commutator(commutator(X_45,inverse(X_10)),inverse(X_45)) = commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))),commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10))))) ),[0],$fot(commutator(commutator(X_45,inverse(X_10)),inverse(X_45)))]]) ).
cnf(refute_0_1597,plain,
( commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))) != commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10))))
| commutator(commutator(X_45,inverse(X_10)),inverse(X_45)) = commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10)))) ),
inference(resolve,[$cnf( $equal(commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))),commutator(commutator(X_45,inverse(X_10)),inverse(X_45))) )],[refute_0_1595,refute_0_1596]) ).
cnf(refute_0_1598,plain,
commutator(commutator(X_45,inverse(X_10)),inverse(X_45)) = commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10)))),
inference(resolve,[$cnf( $equal(commutator(X_45,multiply(inverse(X_45),commutator(X_45,inverse(X_10)))),commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10))))) )],[refute_0_1594,refute_0_1597]) ).
cnf(refute_0_1599,plain,
commutator(X_45,inverse(X_10)) = commutator(X_10,X_45),
inference(subst,[],[refute_0_669:[bind(X_58,$fot(X_10)),bind(X_9,$fot(X_45))]]) ).
cnf(refute_0_1600,plain,
commutator(X_45,commutator(X_45,inverse(X_10))) = commutator(X_45,commutator(X_45,inverse(X_10))),
introduced(tautology,[refl,[$fot(commutator(X_45,commutator(X_45,inverse(X_10))))]]) ).
cnf(refute_0_1601,plain,
( commutator(X_45,commutator(X_45,inverse(X_10))) != commutator(X_45,commutator(X_45,inverse(X_10)))
| commutator(X_45,inverse(X_10)) != commutator(X_10,X_45)
| commutator(X_45,commutator(X_45,inverse(X_10))) = commutator(X_45,commutator(X_10,X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_45,commutator(X_45,inverse(X_10))),commutator(X_45,commutator(X_45,inverse(X_10)))) ),[1,1],$fot(commutator(X_10,X_45))]]) ).
cnf(refute_0_1602,plain,
( commutator(X_45,inverse(X_10)) != commutator(X_10,X_45)
| commutator(X_45,commutator(X_45,inverse(X_10))) = commutator(X_45,commutator(X_10,X_45)) ),
inference(resolve,[$cnf( $equal(commutator(X_45,commutator(X_45,inverse(X_10))),commutator(X_45,commutator(X_45,inverse(X_10)))) )],[refute_0_1600,refute_0_1601]) ).
cnf(refute_0_1603,plain,
commutator(X_45,commutator(X_45,inverse(X_10))) = commutator(X_45,commutator(X_10,X_45)),
inference(resolve,[$cnf( $equal(commutator(X_45,inverse(X_10)),commutator(X_10,X_45)) )],[refute_0_1599,refute_0_1602]) ).
cnf(refute_0_1604,plain,
commutator(commutator(X_45,inverse(X_10)),inverse(X_45)) = commutator(X_45,commutator(X_45,inverse(X_10))),
inference(subst,[],[refute_0_669:[bind(X_58,$fot(X_45)),bind(X_9,$fot(commutator(X_45,inverse(X_10))))]]) ).
cnf(refute_0_1605,plain,
( commutator(X_45,commutator(X_45,inverse(X_10))) != commutator(X_45,commutator(X_10,X_45))
| commutator(commutator(X_45,inverse(X_10)),inverse(X_45)) != commutator(X_45,commutator(X_45,inverse(X_10)))
| commutator(commutator(X_45,inverse(X_10)),inverse(X_45)) = commutator(X_45,commutator(X_10,X_45)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(commutator(commutator(X_45,inverse(X_10)),inverse(X_45)))),bind(Y0,$fot(commutator(X_45,commutator(X_45,inverse(X_10))))),bind(Z0,$fot(commutator(X_45,commutator(X_10,X_45))))]]) ).
cnf(refute_0_1606,plain,
( commutator(X_45,commutator(X_45,inverse(X_10))) != commutator(X_45,commutator(X_10,X_45))
| commutator(commutator(X_45,inverse(X_10)),inverse(X_45)) = commutator(X_45,commutator(X_10,X_45)) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X_45,inverse(X_10)),inverse(X_45)),commutator(X_45,commutator(X_45,inverse(X_10)))) )],[refute_0_1604,refute_0_1605]) ).
cnf(refute_0_1607,plain,
commutator(commutator(X_45,inverse(X_10)),inverse(X_45)) = commutator(X_45,commutator(X_10,X_45)),
inference(resolve,[$cnf( $equal(commutator(X_45,commutator(X_45,inverse(X_10))),commutator(X_45,commutator(X_10,X_45))) )],[refute_0_1603,refute_0_1606]) ).
cnf(refute_0_1608,plain,
( commutator(commutator(X_45,inverse(X_10)),inverse(X_45)) != commutator(X_45,commutator(X_10,X_45))
| commutator(commutator(X_45,inverse(X_10)),inverse(X_45)) != commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10))))
| commutator(X_45,commutator(X_10,X_45)) = commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X_45,inverse(X_10)),inverse(X_45)),commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10))))) ),[0],$fot(commutator(X_45,commutator(X_10,X_45)))]]) ).
cnf(refute_0_1609,plain,
( commutator(commutator(X_45,inverse(X_10)),inverse(X_45)) != commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10))))
| commutator(X_45,commutator(X_10,X_45)) = commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10)))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X_45,inverse(X_10)),inverse(X_45)),commutator(X_45,commutator(X_10,X_45))) )],[refute_0_1607,refute_0_1608]) ).
cnf(refute_0_1610,plain,
commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10)))) = commutator(multiply(inverse(X_10),multiply(X_45,X_10)),X_45),
inference(subst,[],[refute_0_669:[bind(X_58,$fot(multiply(inverse(X_10),multiply(X_45,X_10)))),bind(X_9,$fot(X_45))]]) ).
cnf(refute_0_1611,plain,
( commutator(X_45,commutator(X_10,X_45)) != commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10))))
| commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10)))) != commutator(multiply(inverse(X_10),multiply(X_45,X_10)),X_45)
| commutator(X_45,commutator(X_10,X_45)) = commutator(multiply(inverse(X_10),multiply(X_45,X_10)),X_45) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_45,commutator(X_10,X_45)),commutator(multiply(inverse(X_10),multiply(X_45,X_10)),X_45)) ),[0],$fot(commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10)))))]]) ).
cnf(refute_0_1612,plain,
( commutator(X_45,commutator(X_10,X_45)) != commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10))))
| commutator(X_45,commutator(X_10,X_45)) = commutator(multiply(inverse(X_10),multiply(X_45,X_10)),X_45) ),
inference(resolve,[$cnf( $equal(commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10)))),commutator(multiply(inverse(X_10),multiply(X_45,X_10)),X_45)) )],[refute_0_1610,refute_0_1611]) ).
cnf(refute_0_1613,plain,
( commutator(commutator(X_45,inverse(X_10)),inverse(X_45)) != commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10))))
| commutator(X_45,commutator(X_10,X_45)) = commutator(multiply(inverse(X_10),multiply(X_45,X_10)),X_45) ),
inference(resolve,[$cnf( $equal(commutator(X_45,commutator(X_10,X_45)),commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10))))) )],[refute_0_1609,refute_0_1612]) ).
cnf(refute_0_1614,plain,
commutator(X_45,commutator(X_10,X_45)) = commutator(multiply(inverse(X_10),multiply(X_45,X_10)),X_45),
inference(resolve,[$cnf( $equal(commutator(commutator(X_45,inverse(X_10)),inverse(X_45)),commutator(X_45,inverse(multiply(inverse(X_10),multiply(X_45,X_10))))) )],[refute_0_1598,refute_0_1613]) ).
cnf(refute_0_1615,plain,
( commutator(X_45,commutator(X_10,X_45)) != commutator(multiply(inverse(X_10),multiply(X_45,X_10)),X_45)
| commutator(multiply(inverse(X_10),multiply(X_45,X_10)),X_45) = commutator(X_45,commutator(X_10,X_45)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(commutator(X_45,commutator(X_10,X_45)))),bind(Y0,$fot(commutator(multiply(inverse(X_10),multiply(X_45,X_10)),X_45)))]]) ).
cnf(refute_0_1616,plain,
commutator(multiply(inverse(X_10),multiply(X_45,X_10)),X_45) = commutator(X_45,commutator(X_10,X_45)),
inference(resolve,[$cnf( $equal(commutator(X_45,commutator(X_10,X_45)),commutator(multiply(inverse(X_10),multiply(X_45,X_10)),X_45)) )],[refute_0_1614,refute_0_1615]) ).
cnf(refute_0_1617,plain,
commutator(multiply(inverse(X_10),multiply(X_38,X_10)),X_38) = commutator(X_38,commutator(X_10,X_38)),
inference(subst,[],[refute_0_1616:[bind(X_45,$fot(X_38))]]) ).
cnf(refute_0_1618,plain,
commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))) = commutator(multiply(inverse(X_10),multiply(X_38,X_10)),X_38),
inference(subst,[],[refute_0_897:[bind(X_78,$fot(multiply(inverse(X_10),multiply(X_38,X_10)))),bind(X_79,$fot(X_38))]]) ).
cnf(refute_0_1619,plain,
( commutator(multiply(inverse(X_10),multiply(X_38,X_10)),X_38) != commutator(X_38,commutator(X_10,X_38))
| commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))) != commutator(multiply(inverse(X_10),multiply(X_38,X_10)),X_38)
| commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))) = commutator(X_38,commutator(X_10,X_38)) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))))),bind(Y0,$fot(commutator(multiply(inverse(X_10),multiply(X_38,X_10)),X_38))),bind(Z0,$fot(commutator(X_38,commutator(X_10,X_38))))]]) ).
cnf(refute_0_1620,plain,
( commutator(multiply(inverse(X_10),multiply(X_38,X_10)),X_38) != commutator(X_38,commutator(X_10,X_38))
| commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))) = commutator(X_38,commutator(X_10,X_38)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))),commutator(multiply(inverse(X_10),multiply(X_38,X_10)),X_38)) )],[refute_0_1618,refute_0_1619]) ).
cnf(refute_0_1621,plain,
commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))) = commutator(X_38,commutator(X_10,X_38)),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_10),multiply(X_38,X_10)),X_38),commutator(X_38,commutator(X_10,X_38))) )],[refute_0_1617,refute_0_1620]) ).
cnf(refute_0_1622,plain,
( commutator(commutator(X_38,X_10),X_38) != commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10)))
| commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))) != commutator(X_38,commutator(X_10,X_38))
| commutator(commutator(X_38,X_10),X_38) = commutator(X_38,commutator(X_10,X_38)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(commutator(X_38,X_10),X_38),commutator(X_38,commutator(X_10,X_38))) ),[0],$fot(commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))))]]) ).
cnf(refute_0_1623,plain,
( commutator(commutator(X_38,X_10),X_38) != commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10)))
| commutator(commutator(X_38,X_10),X_38) = commutator(X_38,commutator(X_10,X_38)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10))),commutator(X_38,commutator(X_10,X_38))) )],[refute_0_1621,refute_0_1622]) ).
cnf(refute_0_1624,plain,
commutator(commutator(X_38,X_10),X_38) = commutator(X_38,commutator(X_10,X_38)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_38,X_10),X_38),commutator(inverse(X_38),multiply(inverse(X_10),multiply(X_38,X_10)))) )],[refute_0_1532,refute_0_1623]) ).
cnf(refute_0_1625,plain,
commutator(commutator(X_42,X_41),X_42) = commutator(X_42,commutator(X_41,X_42)),
inference(subst,[],[refute_0_1624:[bind(X_10,$fot(X_41)),bind(X_38,$fot(X_42))]]) ).
cnf(refute_0_1626,plain,
multiply(X_42,commutator(commutator(X_42,X_41),X_42)) = multiply(X_42,commutator(commutator(X_42,X_41),X_42)),
introduced(tautology,[refl,[$fot(multiply(X_42,commutator(commutator(X_42,X_41),X_42)))]]) ).
cnf(refute_0_1627,plain,
( multiply(X_42,commutator(commutator(X_42,X_41),X_42)) != multiply(X_42,commutator(commutator(X_42,X_41),X_42))
| commutator(commutator(X_42,X_41),X_42) != commutator(X_42,commutator(X_41,X_42))
| multiply(X_42,commutator(commutator(X_42,X_41),X_42)) = multiply(X_42,commutator(X_42,commutator(X_41,X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_42,commutator(commutator(X_42,X_41),X_42)),multiply(X_42,commutator(commutator(X_42,X_41),X_42))) ),[1,1],$fot(commutator(X_42,commutator(X_41,X_42)))]]) ).
cnf(refute_0_1628,plain,
( commutator(commutator(X_42,X_41),X_42) != commutator(X_42,commutator(X_41,X_42))
| multiply(X_42,commutator(commutator(X_42,X_41),X_42)) = multiply(X_42,commutator(X_42,commutator(X_41,X_42))) ),
inference(resolve,[$cnf( $equal(multiply(X_42,commutator(commutator(X_42,X_41),X_42)),multiply(X_42,commutator(commutator(X_42,X_41),X_42))) )],[refute_0_1626,refute_0_1627]) ).
cnf(refute_0_1629,plain,
multiply(X_42,commutator(commutator(X_42,X_41),X_42)) = multiply(X_42,commutator(X_42,commutator(X_41,X_42))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_42,X_41),X_42),commutator(X_42,commutator(X_41,X_42))) )],[refute_0_1625,refute_0_1628]) ).
cnf(refute_0_1630,plain,
inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))) = inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))))]]) ).
cnf(refute_0_1631,plain,
( multiply(X_42,commutator(commutator(X_42,X_41),X_42)) != multiply(X_42,commutator(X_42,commutator(X_41,X_42)))
| inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))) != inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42)))
| inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))) = inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))),inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42)))) ),[1,0],$fot(multiply(X_42,commutator(X_42,commutator(X_41,X_42))))]]) ).
cnf(refute_0_1632,plain,
( multiply(X_42,commutator(commutator(X_42,X_41),X_42)) != multiply(X_42,commutator(X_42,commutator(X_41,X_42)))
| inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))) = inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))),inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42)))) )],[refute_0_1630,refute_0_1631]) ).
cnf(refute_0_1633,plain,
inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))) = inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42)))),
inference(resolve,[$cnf( $equal(multiply(X_42,commutator(commutator(X_42,X_41),X_42)),multiply(X_42,commutator(X_42,commutator(X_41,X_42)))) )],[refute_0_1629,refute_0_1632]) ).
cnf(refute_0_1634,plain,
( multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) != inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42)))
| inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))) != inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42))))
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) = inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)),inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42))))) ),[0],$fot(inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))))]]) ).
cnf(refute_0_1635,plain,
( multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) != inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42)))
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) = inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42))),inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42))))) )],[refute_0_1633,refute_0_1634]) ).
cnf(refute_0_1636,plain,
( multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)) != inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42)))
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) = inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)),inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42)))) )],[refute_0_1506,refute_0_1635]) ).
cnf(refute_0_1637,plain,
multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) = inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(inverse(X_42),X_41)),inverse(multiply(X_42,commutator(commutator(X_42,X_41),X_42)))) )],[refute_0_1499,refute_0_1636]) ).
cnf(refute_0_1638,plain,
multiply(X_41,inverse(multiply(X_42,X_41))) = inverse(X_42),
inference(subst,[],[refute_0_1412:[bind(X_31,$fot(X_42)),bind(X_32,$fot(X_41))]]) ).
cnf(refute_0_1639,plain,
multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42)) = inverse(multiply(X_42,X_41)),
inference(subst,[],[refute_0_1311:[bind(X_47,$fot(X_42)),bind(X_9,$fot(X_41))]]) ).
cnf(refute_0_1640,plain,
multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42))) = multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42))),
introduced(tautology,[refl,[$fot(multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42))))]]) ).
cnf(refute_0_1641,plain,
( multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42))) != multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42)))
| multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42)) != inverse(multiply(X_42,X_41))
| multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42))) = multiply(X_41,inverse(multiply(X_42,X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42))),multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42)))) ),[1,1],$fot(inverse(multiply(X_42,X_41)))]]) ).
cnf(refute_0_1642,plain,
( multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42)) != inverse(multiply(X_42,X_41))
| multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42))) = multiply(X_41,inverse(multiply(X_42,X_41))) ),
inference(resolve,[$cnf( $equal(multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42))),multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42)))) )],[refute_0_1640,refute_0_1641]) ).
cnf(refute_0_1643,plain,
multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42))) = multiply(X_41,inverse(multiply(X_42,X_41))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42)),inverse(multiply(X_42,X_41))) )],[refute_0_1639,refute_0_1642]) ).
cnf(refute_0_1644,plain,
( multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42))) != multiply(X_41,inverse(multiply(X_42,X_41)))
| multiply(X_41,inverse(multiply(X_42,X_41))) != inverse(X_42)
| multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42))) = inverse(X_42) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42))))),bind(Y0,$fot(multiply(X_41,inverse(multiply(X_42,X_41))))),bind(Z0,$fot(inverse(X_42)))]]) ).
cnf(refute_0_1645,plain,
( multiply(X_41,inverse(multiply(X_42,X_41))) != inverse(X_42)
| multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42))) = inverse(X_42) ),
inference(resolve,[$cnf( $equal(multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42))),multiply(X_41,inverse(multiply(X_42,X_41)))) )],[refute_0_1643,refute_0_1644]) ).
cnf(refute_0_1646,plain,
multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42))) = inverse(X_42),
inference(resolve,[$cnf( $equal(multiply(X_41,inverse(multiply(X_42,X_41))),inverse(X_42)) )],[refute_0_1638,refute_0_1645]) ).
cnf(refute_0_1647,plain,
multiply(multiply(X_41,inverse(multiply(X_41,X_42))),commutator(X_41,X_42)) = multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42))),
inference(subst,[],[associativity:[bind(X,$fot(X_41)),bind(Y,$fot(inverse(multiply(X_41,X_42)))),bind(Z,$fot(commutator(X_41,X_42)))]]) ).
cnf(refute_0_1648,plain,
( multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42))) != inverse(X_42)
| multiply(multiply(X_41,inverse(multiply(X_41,X_42))),commutator(X_41,X_42)) != multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42)))
| multiply(multiply(X_41,inverse(multiply(X_41,X_42))),commutator(X_41,X_42)) = inverse(X_42) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(multiply(X_41,inverse(multiply(X_41,X_42))),commutator(X_41,X_42)))),bind(Y0,$fot(multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42))))),bind(Z0,$fot(inverse(X_42)))]]) ).
cnf(refute_0_1649,plain,
( multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42))) != inverse(X_42)
| multiply(multiply(X_41,inverse(multiply(X_41,X_42))),commutator(X_41,X_42)) = inverse(X_42) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_41,inverse(multiply(X_41,X_42))),commutator(X_41,X_42)),multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42)))) )],[refute_0_1647,refute_0_1648]) ).
cnf(refute_0_1650,plain,
multiply(multiply(X_41,inverse(multiply(X_41,X_42))),commutator(X_41,X_42)) = inverse(X_42),
inference(resolve,[$cnf( $equal(multiply(X_41,multiply(inverse(multiply(X_41,X_42)),commutator(X_41,X_42))),inverse(X_42)) )],[refute_0_1646,refute_0_1649]) ).
cnf(refute_0_1651,plain,
multiply(inverse(X_24),inverse(X_27)) = inverse(multiply(X_27,X_24)),
inference(subst,[],[refute_0_1296:[bind(X_58,$fot(X_24)),bind(X_8,$fot(X_27))]]) ).
cnf(refute_0_1652,plain,
multiply(X_27,multiply(inverse(X_24),inverse(X_27))) = multiply(X_27,multiply(inverse(X_24),inverse(X_27))),
introduced(tautology,[refl,[$fot(multiply(X_27,multiply(inverse(X_24),inverse(X_27))))]]) ).
cnf(refute_0_1653,plain,
( multiply(X_27,multiply(inverse(X_24),inverse(X_27))) != multiply(X_27,multiply(inverse(X_24),inverse(X_27)))
| multiply(inverse(X_24),inverse(X_27)) != inverse(multiply(X_27,X_24))
| multiply(X_27,multiply(inverse(X_24),inverse(X_27))) = multiply(X_27,inverse(multiply(X_27,X_24))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_27,multiply(inverse(X_24),inverse(X_27))),multiply(X_27,multiply(inverse(X_24),inverse(X_27)))) ),[1,1],$fot(inverse(multiply(X_27,X_24)))]]) ).
cnf(refute_0_1654,plain,
( multiply(inverse(X_24),inverse(X_27)) != inverse(multiply(X_27,X_24))
| multiply(X_27,multiply(inverse(X_24),inverse(X_27))) = multiply(X_27,inverse(multiply(X_27,X_24))) ),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(inverse(X_24),inverse(X_27))),multiply(X_27,multiply(inverse(X_24),inverse(X_27)))) )],[refute_0_1652,refute_0_1653]) ).
cnf(refute_0_1655,plain,
multiply(X_27,multiply(inverse(X_24),inverse(X_27))) = multiply(X_27,inverse(multiply(X_27,X_24))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_24),inverse(X_27)),inverse(multiply(X_27,X_24))) )],[refute_0_1651,refute_0_1654]) ).
cnf(refute_0_1656,plain,
( multiply(X_27,multiply(inverse(X_24),inverse(X_27))) != multiply(X_27,inverse(multiply(X_27,X_24)))
| inverse(multiply(X_27,multiply(X_24,inverse(X_27)))) != multiply(X_27,multiply(inverse(X_24),inverse(X_27)))
| inverse(multiply(X_27,multiply(X_24,inverse(X_27)))) = multiply(X_27,inverse(multiply(X_27,X_24))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_27,multiply(X_24,inverse(X_27)))),multiply(X_27,multiply(inverse(X_24),inverse(X_27)))) ),[1],$fot(multiply(X_27,inverse(multiply(X_27,X_24))))]]) ).
cnf(refute_0_1657,plain,
( inverse(multiply(X_27,multiply(X_24,inverse(X_27)))) != multiply(X_27,multiply(inverse(X_24),inverse(X_27)))
| inverse(multiply(X_27,multiply(X_24,inverse(X_27)))) = multiply(X_27,inverse(multiply(X_27,X_24))) ),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(inverse(X_24),inverse(X_27))),multiply(X_27,inverse(multiply(X_27,X_24)))) )],[refute_0_1655,refute_0_1656]) ).
cnf(refute_0_1658,plain,
inverse(multiply(X_27,multiply(X_24,inverse(X_27)))) = multiply(X_27,inverse(multiply(X_27,X_24))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_27,multiply(X_24,inverse(X_27)))),multiply(X_27,multiply(inverse(X_24),inverse(X_27)))) )],[refute_0_404,refute_0_1657]) ).
cnf(refute_0_1659,plain,
inverse(multiply(X_41,multiply(X_42,inverse(X_41)))) = multiply(X_41,inverse(multiply(X_41,X_42))),
inference(subst,[],[refute_0_1658:[bind(X_24,$fot(X_42)),bind(X_27,$fot(X_41))]]) ).
cnf(refute_0_1660,plain,
multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) = multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)))]]) ).
cnf(refute_0_1661,plain,
( multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) != multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42))
| inverse(multiply(X_41,multiply(X_42,inverse(X_41)))) != multiply(X_41,inverse(multiply(X_41,X_42)))
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) = multiply(multiply(X_41,inverse(multiply(X_41,X_42))),commutator(X_41,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)),multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42))) ),[1,0],$fot(multiply(X_41,inverse(multiply(X_41,X_42))))]]) ).
cnf(refute_0_1662,plain,
( inverse(multiply(X_41,multiply(X_42,inverse(X_41)))) != multiply(X_41,inverse(multiply(X_41,X_42)))
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) = multiply(multiply(X_41,inverse(multiply(X_41,X_42))),commutator(X_41,X_42)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)),multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42))) )],[refute_0_1660,refute_0_1661]) ).
cnf(refute_0_1663,plain,
multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) = multiply(multiply(X_41,inverse(multiply(X_41,X_42))),commutator(X_41,X_42)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),multiply(X_41,inverse(multiply(X_41,X_42)))) )],[refute_0_1659,refute_0_1662]) ).
cnf(refute_0_1664,plain,
( multiply(multiply(X_41,inverse(multiply(X_41,X_42))),commutator(X_41,X_42)) != inverse(X_42)
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) != multiply(multiply(X_41,inverse(multiply(X_41,X_42))),commutator(X_41,X_42))
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) = inverse(X_42) ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)))),bind(Y0,$fot(multiply(multiply(X_41,inverse(multiply(X_41,X_42))),commutator(X_41,X_42)))),bind(Z0,$fot(inverse(X_42)))]]) ).
cnf(refute_0_1665,plain,
( multiply(multiply(X_41,inverse(multiply(X_41,X_42))),commutator(X_41,X_42)) != inverse(X_42)
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) = inverse(X_42) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)),multiply(multiply(X_41,inverse(multiply(X_41,X_42))),commutator(X_41,X_42))) )],[refute_0_1663,refute_0_1664]) ).
cnf(refute_0_1666,plain,
multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) = inverse(X_42),
inference(resolve,[$cnf( $equal(multiply(multiply(X_41,inverse(multiply(X_41,X_42))),commutator(X_41,X_42)),inverse(X_42)) )],[refute_0_1650,refute_0_1665]) ).
cnf(refute_0_1667,plain,
( multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) != inverse(X_42)
| multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) != inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42))))
| inverse(X_42) = inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)),inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42))))) ),[0],$fot(inverse(X_42))]]) ).
cnf(refute_0_1668,plain,
( multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)) != inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42))))
| inverse(X_42) = inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)),inverse(X_42)) )],[refute_0_1666,refute_0_1667]) ).
cnf(refute_0_1669,plain,
inverse(X_42) = inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_41,multiply(X_42,inverse(X_41)))),commutator(X_41,X_42)),inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42))))) )],[refute_0_1637,refute_0_1668]) ).
cnf(refute_0_1670,plain,
( inverse(X_42) != inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42))))
| inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42)))) = inverse(X_42) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(inverse(X_42))),bind(Y0,$fot(inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42))))))]]) ).
cnf(refute_0_1671,plain,
inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42)))) = inverse(X_42),
inference(resolve,[$cnf( $equal(inverse(X_42),inverse(multiply(X_42,commutator(X_42,commutator(X_41,X_42))))) )],[refute_0_1669,refute_0_1670]) ).
cnf(refute_0_1672,plain,
inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100)))) = inverse(X_100),
inference(subst,[],[refute_0_1671:[bind(X_41,$fot(X_94)),bind(X_42,$fot(X_100))]]) ).
cnf(refute_0_1673,plain,
multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))) = multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))),
introduced(tautology,[refl,[$fot(multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))))]]) ).
cnf(refute_0_1674,plain,
( multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))) != multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100)))))
| inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100)))) != inverse(X_100)
| multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))) = multiply(X_100,inverse(X_100)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))),multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100)))))) ),[1,1],$fot(inverse(X_100))]]) ).
cnf(refute_0_1675,plain,
( inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100)))) != inverse(X_100)
| multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))) = multiply(X_100,inverse(X_100)) ),
inference(resolve,[$cnf( $equal(multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))),multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100)))))) )],[refute_0_1673,refute_0_1674]) ).
cnf(refute_0_1676,plain,
multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))) = multiply(X_100,inverse(X_100)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100)))),inverse(X_100)) )],[refute_0_1672,refute_0_1675]) ).
cnf(refute_0_1677,plain,
( multiply(X_100,inverse(X_100)) != identity
| multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))) != multiply(X_100,inverse(X_100))
| multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))) = identity ),
inference(subst,[],[refute_0_108:[bind(X0,$fot(multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))))),bind(Y0,$fot(multiply(X_100,inverse(X_100)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_1678,plain,
( multiply(X_100,inverse(X_100)) != identity
| multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))) = identity ),
inference(resolve,[$cnf( $equal(multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))),multiply(X_100,inverse(X_100))) )],[refute_0_1676,refute_0_1677]) ).
cnf(refute_0_1679,plain,
multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))) = identity,
inference(resolve,[$cnf( $equal(multiply(X_100,inverse(X_100)),identity) )],[refute_0_1463,refute_0_1678]) ).
cnf(refute_0_1680,plain,
( multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))) != identity
| commutator(X_100,commutator(X_100,X_94)) != multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100)))))
| commutator(X_100,commutator(X_100,X_94)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_100,commutator(X_100,X_94)),multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100)))))) ),[1],$fot(identity)]]) ).
cnf(refute_0_1681,plain,
( commutator(X_100,commutator(X_100,X_94)) != multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100)))))
| commutator(X_100,commutator(X_100,X_94)) = identity ),
inference(resolve,[$cnf( $equal(multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100))))),identity) )],[refute_0_1679,refute_0_1680]) ).
cnf(refute_0_1682,plain,
( inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)) != multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100)))))
| commutator(X_100,commutator(X_100,X_94)) = identity ),
inference(resolve,[$cnf( $equal(commutator(X_100,commutator(X_100,X_94)),multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100)))))) )],[refute_0_1462,refute_0_1681]) ).
cnf(refute_0_1683,plain,
commutator(X_100,commutator(X_100,X_94)) = identity,
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_100,commutator(X_94,X_100)),identity)),multiply(X_100,inverse(multiply(X_100,commutator(X_100,commutator(X_94,X_100)))))) )],[refute_0_1447,refute_0_1682]) ).
cnf(refute_0_1684,plain,
commutator(b,commutator(b,a)) = identity,
inference(subst,[],[refute_0_1683:[bind(X_100,$fot(b)),bind(X_94,$fot(a))]]) ).
cnf(refute_0_1685,plain,
( commutator(b,commutator(b,a)) != identity
| identity != identity
| commutator(b,commutator(b,a)) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(b,commutator(b,a)),identity) ),[0],$fot(identity)]]) ).
cnf(refute_0_1686,plain,
( identity != identity
| commutator(b,commutator(b,a)) = identity ),
inference(resolve,[$cnf( $equal(commutator(b,commutator(b,a)),identity) )],[refute_0_1684,refute_0_1685]) ).
cnf(refute_0_1687,plain,
identity != identity,
inference(resolve,[$cnf( $equal(commutator(b,commutator(b,a)),identity) )],[refute_0_1686,refute_0_918]) ).
cnf(refute_0_1688,plain,
identity = identity,
introduced(tautology,[refl,[$fot(identity)]]) ).
cnf(refute_0_1689,plain,
$false,
inference(resolve,[$cnf( $equal(identity,identity) )],[refute_0_1688,refute_0_1687]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP002-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n014.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 : Tue Jun 14 00:56:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.80/0.96 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.80/0.96
% 0.80/0.96 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.02/1.19
%------------------------------------------------------------------------------